Swept volume in expansion space (cm^3) 63.000000000 Swept volume in compression space (cm^3) 63.000000000 Minimum volume in expansion space (cm^3) 41.000000000 Minimum volume in compression space (cm^3) 41.000000000 Phase angle (degrees) 90.000000000 Regenerator void volume (cm^3) 32.900000000 Flow cross-sectional area of each heater tube (cm^2) 0.024200000 Flow cross-sectional area of each cooler tube (cm^2) 0.012950000 Wetted perimeter for each heater tube (cm) 0.788000000 Wetted perimeter for each cooler tube (cm) 0.610000000 Flow length of each heater tube (cm) 4.450000000 Flow length of each cooler tube (cm) 4.920000000 Number of tubes in heater 197 Number of tubes in cooler 192 Heater temperature (K) 923.000000000 Cooler temperature (K) 300.000000000 Average pressure (Pa) 273510.000000000 Gas constant (J/(kg.K)) 287.000000000 Cp of working gas (J/(kg.K)) 1007.000000000 Cv of working gas (J/(kg.K)) 720.000000000 Viscosity (N.s/m^2) 0.000030000 Regenerator constant eps1 (dimensionless) 0.000000000 Regenerator constant eps2 (dimensionless) 0.000000000 Scale factor to get the average pressure you want at the engine speed you want (default = 1.0) 1.000000000 Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 791.792 285.330 0.00008542872 0.00023705343 0.0000960338 0.0000960339 202149.368 202139.374 202145.725 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.000 0.002778 791.386 285.222 0.00008497058 0.00023766731 0.0000956417 0.0000964193 201786.288 201776.404 201782.639 0.06833 -0.31295 -0.00444 0.0002584090 -0.00137 2.000 0.005556 790.997 285.120 0.00008451207 0.00023827486 0.0000952429 0.0000967977 201438.867 201429.095 201435.213 0.13656 -0.62503 -0.00869 0.0002583886 -0.00548 3.000 0.008334 790.626 285.023 0.00008405324 0.00023887601 0.0000948375 0.0000971692 201107.073 201097.413 201103.415 0.20468 -0.93620 -0.01275 0.0002583547 -0.01231 4.000 0.011112 790.271 284.933 0.00008359418 0.00023947072 0.0000944257 0.0000975335 200790.873 200781.326 200787.211 0.27266 -1.24644 -0.01662 0.0002583072 -0.02185 5.000 0.013889 789.934 284.848 0.00008313510 0.00024005871 0.0000940078 0.0000978904 200490.339 200480.907 200486.676 0.34047 -1.55557 -0.02030 0.0002582462 -0.03409 6.000 0.016667 789.614 284.770 0.00008267575 0.00024064036 0.0000935835 0.0000982402 200205.225 200195.908 200201.561 0.40815 -1.86380 -0.02378 0.0002581717 -0.04902 7.000 0.019445 789.311 284.697 0.00008221636 0.00024121541 0.0000931532 0.0000985824 199935.612 199926.411 199931.947 0.47565 -2.17096 -0.02708 0.0002580837 -0.06664 8.000 0.022223 789.024 284.630 0.00008175699 0.00024178380 0.0000927170 0.0000989171 199681.471 199672.387 199677.807 0.54295 -2.47702 -0.03019 0.0002579822 -0.08692 9.000 0.025000 788.756 284.569 0.00008129787 0.00024234527 0.0000922752 0.0000992441 199442.857 199433.890 199439.194 0.61001 -2.78183 -0.03311 0.0002578673 -0.10985 10.000 0.027778 788.504 284.513 0.00008083873 0.00024290019 0.0000918276 0.0000995633 199219.571 199210.722 199215.911 0.67688 -3.08557 -0.03584 0.0002577389 -0.13543 11.000 0.030556 788.269 284.464 0.00008037981 0.00024344828 0.0000913745 0.0000998748 199011.676 199002.947 199008.020 0.74350 -3.38810 -0.03838 0.0002575972 -0.16365 12.000 0.033334 788.052 284.420 0.00007992116 0.00024398951 0.0000909160 0.0001001782 198819.149 198810.539 198815.497 0.80986 -3.68937 -0.04074 0.0002574422 -0.19448 13.000 0.036112 787.852 284.382 0.00007946286 0.00024452382 0.0000904523 0.0001004736 198641.965 198633.475 198638.319 0.87594 -3.98935 -0.04291 0.0002572739 -0.22793 14.000 0.038889 787.669 284.349 0.00007900512 0.00024505096 0.0000899836 0.0001007608 198480.158 198471.788 198476.518 0.94172 -4.28789 -0.04489 0.0002570925 -0.26396 15.000 0.041667 787.503 284.323 0.00007854768 0.00024557127 0.0000895099 0.0001010399 198333.591 198325.342 198329.958 1.00720 -4.58517 -0.04668 0.0002568978 -0.30259 16.000 0.044445 787.354 284.302 0.00007809077 0.00024608449 0.0000890314 0.0001013106 198202.305 198194.178 198198.680 1.07237 -4.88105 -0.04828 0.0002566900 -0.34379 17.000 0.047223 787.223 284.287 0.00007763445 0.00024659058 0.0000885482 0.0001015729 198086.282 198078.277 198082.666 1.13719 -5.17549 -0.04970 0.0002564691 -0.38755 18.000 0.050000 787.109 284.277 0.00007717894 0.00024708930 0.0000880607 0.0001018267 197985.538 197977.656 197981.932 1.20163 -5.46834 -0.05094 0.0002562354 -0.43384 19.000 0.052778 787.012 284.274 0.00007672398 0.00024758095 0.0000875686 0.0001020720 197899.987 197892.227 197896.391 1.26573 -5.75977 -0.05198 0.0002559887 -0.48268 20.000 0.055556 786.932 284.276 0.00007626980 0.00024806530 0.0000870724 0.0001023087 197829.651 197822.015 197826.067 1.32944 -6.04966 -0.05284 0.0002557291 -0.53403 21.000 0.058334 786.869 284.283 0.00007581645 0.00024854230 0.0000865720 0.0001025367 197774.519 197767.007 197770.947 1.39274 -6.33795 -0.05352 0.0002554568 -0.58790 22.000 0.061112 786.824 284.297 0.00007536399 0.00024901188 0.0000860678 0.0001027560 197734.580 197727.192 197731.021 1.45562 -6.62461 -0.05401 0.0002551718 -0.64425 23.000 0.063889 786.796 284.316 0.00007491265 0.00024947383 0.0000855600 0.0001029663 197709.829 197702.565 197706.284 1.51804 -6.90950 -0.05431 0.0002548744 -0.70307 24.000 0.066667 786.785 284.340 0.00007446217 0.00024992842 0.0000850485 0.0001031678 197700.240 197693.100 197696.709 1.58004 -7.19279 -0.05443 0.0002545643 -0.76437 25.000 0.069445 786.792 284.370 0.00007401277 0.00025037542 0.0000845335 0.0001033604 197705.817 197698.802 197702.302 1.64156 -7.47433 -0.05436 0.0002542419 -0.82812 26.000 0.072223 786.815 284.406 0.00007356451 0.00025081478 0.0000840152 0.0001035439 197726.555 197719.665 197723.057 1.70260 -7.75409 -0.05410 0.0002539071 -0.89430 27.000 0.075000 786.856 284.448 0.00007311762 0.00025124627 0.0000834940 0.0001037183 197762.433 197755.668 197758.953 1.76312 -8.03193 -0.05366 0.0002535603 -0.96288 28.000 0.077778 786.914 284.495 0.00007267182 0.00025167017 0.0000829696 0.0001038836 197813.476 197806.835 197810.013 1.82314 -8.30802 -0.05304 0.0002532013 -1.03390 29.000 0.080556 786.989 284.548 0.00007222735 0.00025208623 0.0000824425 0.0001040398 197879.670 197873.155 197876.226 1.88263 -8.58220 -0.05223 0.0002528302 -1.10730 30.000 0.083334 787.081 284.606 0.00007178427 0.00025249441 0.0000819126 0.0001041867 197961.015 197954.626 197957.592 1.94157 -8.85445 -0.05123 0.0002524474 -1.18308 31.000 0.086112 787.190 284.670 0.00007134264 0.00025289464 0.0000813803 0.0001043244 198057.514 198051.249 198054.111 1.99994 -9.12473 -0.05005 0.0002520527 -1.26123 32.000 0.088889 787.317 284.740 0.00007090268 0.00025328671 0.0000808459 0.0001044527 198169.125 198162.986 198165.744 2.05772 -9.39289 -0.04869 0.0002516466 -1.34168 33.000 0.091667 787.460 284.815 0.00007046414 0.00025367085 0.0000803091 0.0001045717 198295.934 198289.919 198292.574 2.11491 -9.65910 -0.04714 0.0002512288 -1.42450 34.000 0.094445 787.621 284.895 0.00007002724 0.00025404684 0.0000797703 0.0001046813 198437.907 198432.018 198434.571 2.17150 -9.92321 -0.04540 0.0002507996 -1.50963 35.000 0.097223 787.799 284.981 0.00006959203 0.00025441463 0.0000792297 0.0001047815 198595.053 198589.288 198591.740 2.22746 -10.18519 -0.04348 0.0002503592 -1.59706 36.000 0.100000 787.993 285.073 0.00006915875 0.00025477400 0.0000786876 0.0001048722 198767.313 198761.673 198764.025 2.28275 -10.44490 -0.04137 0.0002499079 -1.68674 37.000 0.102778 788.205 285.170 0.00006872714 0.00025512517 0.0000781439 0.0001049535 198954.822 198949.306 198951.559 2.33740 -10.70249 -0.03907 0.0002494453 -1.77872 38.000 0.105556 788.434 285.273 0.00006829743 0.00025546791 0.0000775988 0.0001050252 199157.531 199152.139 199154.294 2.39138 -10.95782 -0.03659 0.0002489720 -1.87294 39.000 0.108334 788.680 285.381 0.00006786968 0.00025580218 0.0000770525 0.0001050875 199375.451 199370.183 199372.242 2.44467 -11.21086 -0.03393 0.0002484879 -1.96939 40.000 0.111112 788.942 285.495 0.00006744395 0.00025612788 0.0000765052 0.0001051402 199608.597 199603.452 199605.415 2.49725 -11.46155 -0.03108 0.0002479934 -2.06806 41.000 0.113889 789.222 285.614 0.00006702047 0.00025644485 0.0000759573 0.0001051833 199856.890 199851.868 199853.737 2.54909 -11.70977 -0.02804 0.0002474886 -2.16888 42.000 0.116667 789.518 285.738 0.00006659899 0.00025675323 0.0000754085 0.0001052168 200120.524 200115.625 200117.401 2.60022 -11.95565 -0.02481 0.0002469733 -2.27192 43.000 0.119445 789.832 285.868 0.00006617973 0.00025705283 0.0000748592 0.0001052408 200399.430 200394.652 200396.337 2.65059 -12.19906 -0.02140 0.0002464480 -2.37712 44.000 0.122223 790.162 286.004 0.00006576277 0.00025734358 0.0000743096 0.0001052552 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272035.605 3.42665 21.41427 3.75006 0.0002268928 -2.70426 288.000 0.800000 860.342 308.676 0.00011156925 0.00018157376 0.0001018267 0.0000594593 270542.623 270531.811 270542.040 3.46838 21.20834 3.73179 0.0002276341 -2.50316 289.000 0.802778 858.995 308.156 0.00011139928 0.00018238004 0.0001020720 0.0000599514 269059.289 269048.320 269058.648 3.51069 20.99741 3.71364 0.0002283715 -2.30422 290.000 0.805556 857.653 307.639 0.00011122042 0.00018319045 0.0001023087 0.0000604476 267587.047 267575.927 267586.346 3.55357 20.78170 3.69563 0.0002291044 -2.10756 291.000 0.808334 856.316 307.127 0.00011103286 0.00018400466 0.0001025368 0.0000609480 266126.257 266114.993 266125.496 3.59703 20.56132 3.67776 0.0002298327 -1.91321 292.000 0.811112 854.984 306.619 0.00011083675 0.00018482235 0.0001027560 0.0000614522 264677.267 264665.864 264676.444 3.64108 20.33641 3.66003 0.0002305562 -1.72121 293.000 0.813889 853.659 306.115 0.00011063235 0.00018564291 0.0001029663 0.0000619600 263240.920 263229.384 263240.035 3.68569 20.10718 3.64246 0.0002312743 -1.53166 294.000 0.816667 852.340 305.616 0.00011041966 0.00018646664 0.0001031678 0.0000624715 261816.498 261804.836 261815.550 3.73090 19.87360 3.62504 0.0002319873 -1.34446 295.000 0.819445 851.028 305.122 0.00011019894 0.00018729295 0.0001033604 0.0000629865 260404.820 260393.037 260403.808 3.77670 19.63586 3.60777 0.0002326949 -1.15972 296.000 0.822223 849.723 304.632 0.00010997034 0.00018812153 0.0001035439 0.0000635048 259006.172 258994.275 259005.096 3.82310 19.39411 3.59066 0.0002333967 -0.97746 297.000 0.825000 848.425 304.148 0.00010973412 0.00018895182 0.0001037183 0.0000640260 257621.321 257609.317 257620.182 3.87006 19.14855 3.57371 0.0002340923 -0.79778 298.000 0.827778 847.135 303.668 0.00010949027 0.00018978414 0.0001038836 0.0000645504 256249.530 256237.423 256248.325 3.91764 18.89911 3.55693 0.0002347820 -0.62058 299.000 0.830556 845.853 303.194 0.00010923905 0.00019061791 0.0001040398 0.0000650775 254891.541 254879.339 254890.273 3.96581 18.64602 3.54032 0.0002354653 -0.44595 300.000 0.833334 844.580 302.724 0.00010898060 0.00019145288 0.0001041867 0.0000656074 253547.589 253535.296 253546.255 4.01456 18.38939 3.52388 0.0002361421 -0.27391 301.000 0.836112 843.315 302.260 0.00010871511 0.00019228879 0.0001043244 0.0000661397 252217.889 252205.513 252216.491 4.06391 18.12934 3.50761 0.0002368121 -0.10449 302.000 0.838889 842.060 301.801 0.00010844281 0.00019312509 0.0001044527 0.0000666741 250903.121 250890.667 250901.659 4.11383 17.86607 3.49153 0.0002374748 0.06222 303.000 0.841667 840.813 301.348 0.00010816369 0.00019396214 0.0001045717 0.0000672109 249602.531 249590.005 249601.005 4.16435 17.59951 3.47561 0.0002381306 0.22633 304.000 0.844445 839.577 300.900 0.00010787798 0.00019479941 0.0001046813 0.0000677497 248316.779 248304.186 248315.188 4.21545 17.32986 3.45988 0.0002387790 0.38774 305.000 0.847223 838.350 300.457 0.00010758585 0.00019563667 0.0001047815 0.0000682903 247046.035 247033.382 247044.381 4.26713 17.05724 3.44434 0.0002394198 0.54645 306.000 0.850000 837.134 300.020 0.00010728755 0.00019647339 0.0001048722 0.0000688324 245790.909 245778.201 245789.192 4.31937 16.78185 3.42898 0.0002400526 0.70238 307.000 0.852778 835.928 299.589 0.00010698303 0.00019730995 0.0001049535 0.0000693761 244550.648 244537.891 244548.869 4.37220 16.50361 3.41381 0.0002406776 0.85562 308.000 0.855556 834.732 299.163 0.00010667255 0.00019814585 0.0001050252 0.0000699212 243325.847 243313.046 243324.005 4.42560 16.22270 3.39883 0.0002412945 1.00609 309.000 0.858334 833.548 298.743 0.00010635624 0.00019898089 0.0001050875 0.0000704675 242116.634 242103.795 242114.732 4.47956 15.93924 3.38403 0.0002419030 1.15379 310.000 0.861112 832.375 298.328 0.00010603426 0.00019981485 0.0001051402 0.0000710148 240923.132 240910.260 240921.169 4.53407 15.65333 3.36943 0.0002425030 1.29869 311.000 0.863889 831.214 297.920 0.00010570688 0.00020064726 0.0001051833 0.0000715627 239745.873 239732.973 239743.850 4.58912 15.36517 3.35503 0.0002430940 1.44073 312.000 0.866667 830.064 297.517 0.00010537399 0.00020147851 0.0001052168 0.0000721115 238584.111 238571.188 238582.029 4.64473 15.07464 3.34082 0.0002436764 1.58000 313.000 0.869445 828.926 297.120 0.00010503587 0.00020230814 0.0001052408 0.0000726608 237438.367 237425.427 237436.228 4.70088 14.78196 3.32680 0.0002442497 1.71644 314.000 0.872223 827.800 296.729 0.00010469264 0.00020313596 0.0001052552 0.0000732104 236308.729 236295.776 236306.532 4.75755 14.48720 3.31298 0.0002448137 1.85004 315.000 0.875000 826.687 296.344 0.00010434458 0.00020396150 0.0001052600 0.0000737600 235195.672 235182.711 235193.419 4.81473 14.19058 3.29937 0.0002453681 1.98073 316.000 0.877778 825.586 295.965 0.00010399156 0.00020478519 0.0001052552 0.0000743098 234098.466 234085.501 234096.157 4.87244 13.89197 3.28594 0.0002459131 2.10860 317.000 0.880556 824.497 295.592 0.00010363385 0.00020560658 0.0001052408 0.0000748595 233017.577 233004.614 233015.214 4.93066 13.59156 3.27272 0.0002464483 2.23361 318.000 0.883334 823.422 295.224 0.00010327159 0.00020642550 0.0001052168 0.0000754088 231953.064 231940.107 231950.648 4.98938 13.28944 3.25970 0.0002469736 2.35573 319.000 0.886112 822.360 294.863 0.00010290489 0.00020724181 0.0001051833 0.0000759575 230904.977 230892.030 230902.509 5.04858 12.98569 3.24687 0.0002474888 2.47496 320.000 0.888889 821.312 294.508 0.00010253402 0.00020805506 0.0001051401 0.0000765055 229873.729 229860.795 229871.209 5.10824 12.68052 3.23426 0.0002479936 2.59125 321.000 0.891667 820.276 294.159 0.00010215885 0.00020886570 0.0001050874 0.0000770528 228858.614 228845.699 228856.044 5.16839 12.37377 3.22184 0.0002484882 2.70469 322.000 0.894445 819.255 293.816 0.00010177962 0.00020967329 0.0001050252 0.0000775990 227860.040 227847.148 227857.421 5.22900 12.06565 3.20962 0.0002489722 2.81522 323.000 0.897223 818.247 293.478 0.00010139647 0.00021047770 0.0001049534 0.0000781441 226878.035 226865.169 226875.367 5.29006 11.75623 3.19761 0.0002494456 2.92284 324.000 0.900000 817.253 293.148 0.00010100965 0.00021127852 0.0001048722 0.0000786877 225912.964 225900.128 225910.250 5.35153 11.44570 3.18580 0.0002499079 3.02750 325.000 0.902778 816.274 292.823 0.00010061900 0.00021207619 0.0001047814 0.0000792300 224964.151 224951.349 224961.391 5.41346 11.13391 3.17420 0.0002503594 3.12929 326.000 0.905556 815.308 292.504 0.00010022478 0.00021287029 0.0001046812 0.0000797706 224031.958 224019.194 224029.154 5.47579 10.82105 3.16279 0.0002507999 3.22815 327.000 0.908334 814.357 292.191 0.00009982711 0.00021366072 0.0001045716 0.0000803094 223116.395 223103.671 223113.546 5.53853 10.50719 3.15159 0.0002512290 3.32410 328.000 0.911112 813.421 291.884 0.00009942610 0.00021444736 0.0001044526 0.0000808462 222217.464 222204.784 222214.573 5.60167 10.19240 3.14059 0.0002516468 3.41712 329.000 0.913889 812.499 291.583 0.00009902200 0.00021522981 0.0001043243 0.0000813806 221335.481 221322.849 221332.550 5.66516 9.87687 3.12980 0.0002520529 3.50718 330.000 0.916667 811.592 291.289 0.00009861463 0.00021600853 0.0001041866 0.0000819129 220469.809 220457.227 220466.837 5.72904 9.56044 3.11921 0.0002524476 3.59435 331.000 0.919445 810.700 291.000 0.00009820425 0.00021678313 0.0001040397 0.0000824427 219620.759 219608.232 219617.749 5.79328 9.24329 3.10883 0.0002528304 3.67860 332.000 0.922223 809.823 290.718 0.00009779097 0.00021755351 0.0001038835 0.0000829699 218788.324 218775.853 218785.276 5.85786 8.92548 3.09864 0.0002532015 3.75992 333.000 0.925000 808.962 290.442 0.00009737503 0.00021831930 0.0001037183 0.0000834941 217972.780 217960.370 217969.696 5.92275 8.60720 3.08867 0.0002535604 3.83829 334.000 0.927778 808.115 290.172 0.00009695625 0.00021908094 0.0001035438 0.0000840155 217173.526 217161.177 217170.406 5.98798 8.28827 3.07889 0.0002539073 3.91377 335.000 0.930556 807.284 289.908 0.00009653487 0.00021983808 0.0001033603 0.0000845338 216390.838 216378.555 216387.684 6.05351 7.96888 3.06931 0.0002542420 3.98633 336.000 0.933334 806.468 289.650 0.00009611099 0.00022059062 0.0001031677 0.0000850488 215624.697 215612.482 215621.510 6.11933 7.64909 3.05994 0.0002545645 4.05598 337.000 0.936112 805.668 289.398 0.00009568471 0.00022133846 0.0001029662 0.0000855603 214875.080 214862.935 214871.861 6.18543 7.32895 3.05077 0.0002548745 4.12271 338.000 0.938889 804.884 289.152 0.00009525628 0.00022208127 0.0001027559 0.0000860681 214142.222 214130.150 214138.973 6.25177 7.00865 3.04180 0.0002551720 4.18651 339.000 0.941667 804.116 288.912 0.00009482549 0.00022281949 0.0001025366 0.0000865723 213425.570 213413.574 213422.291 6.31838 6.68800 3.03304 0.0002554570 4.24743 340.000 0.944445 803.363 288.679 0.00009439258 0.00022355277 0.0001023086 0.0000870726 212725.362 212713.443 212722.055 6.38522 6.36717 3.02447 0.0002557293 4.30545 341.000 0.947223 802.626 288.451 0.00009395765 0.00022428103 0.0001020719 0.0000875689 212041.567 212029.728 212038.233 6.45229 6.04624 3.01611 0.0002559888 4.36057 342.000 0.950000 801.906 288.230 0.00009352094 0.00022500394 0.0001018267 0.0000880607 211374.393 211362.636 211371.033 6.51954 5.72536 3.00794 0.0002562354 4.41278 343.000 0.952778 801.201 288.014 0.00009308224 0.00022572193 0.0001015728 0.0000885484 210723.325 210711.652 210719.940 6.58701 5.40435 2.99998 0.0002564693 4.46212 344.000 0.955556 800.512 287.805 0.00009264177 0.00022643469 0.0001013105 0.0000890316 210088.574 210076.986 210085.164 6.65465 5.08339 2.99221 0.0002566901 4.50858 345.000 0.958334 799.840 287.601 0.00009219964 0.00022714213 0.0001010397 0.0000895102 209470.104 209458.604 209466.672 6.72246 4.76253 2.98465 0.0002568979 4.55217 346.000 0.961112 799.184 287.404 0.00009175592 0.00022784419 0.0001007607 0.0000899839 208867.880 208856.470 208864.427 6.79041 4.44181 2.97728 0.0002570926 4.59288 347.000 0.963889 798.544 287.213 0.00009131086 0.00022854055 0.0001004735 0.0000904525 208282.075 208270.756 208278.601 6.85848 4.12141 2.97011 0.0002572740 4.63072 348.000 0.966667 797.921 287.028 0.00009086422 0.00022923164 0.0001001781 0.0000909162 207712.229 207701.004 207708.736 6.92668 3.80114 2.96314 0.0002574423 4.66573 349.000 0.969445 797.314 286.848 0.00009041624 0.00022991714 0.0000998746 0.0000913747 207158.519 207147.389 207155.008 6.99499 3.48116 2.95637 0.0002575973 4.69788 350.000 0.972223 796.724 286.675 0.00008996700 0.00023059700 0.0000995632 0.0000918278 206620.908 206609.875 206617.380 7.06339 3.16153 2.94979 0.0002577390 4.72719 351.000 0.975000 796.150 286.508 0.00008951674 0.00023127090 0.0000992440 0.0000922753 206099.543 206088.608 206095.999 7.13184 2.84240 2.94341 0.0002578673 4.75366 352.000 0.977778 795.593 286.346 0.00008906522 0.00023193928 0.0000989170 0.0000927172 205594.011 205583.175 205590.451 7.20036 2.52359 2.93723 0.0002579822 4.77731 353.000 0.980556 795.053 286.191 0.00008861268 0.00023260183 0.0000985823 0.0000931534 205104.464 205093.729 205100.890 7.26893 2.20526 2.93124 0.0002580837 4.79815 354.000 0.983334 794.529 286.042 0.00008815919 0.00023325848 0.0000982400 0.0000935837 204630.864 204620.232 204627.278 7.33753 1.88746 2.92545 0.0002581717 4.81618 355.000 0.986112 794.022 285.898 0.00008770482 0.00023390918 0.0000978903 0.0000940080 204173.175 204162.646 204169.576 7.40614 1.57023 2.91985 0.0002582463 4.83141 356.000 0.988889 793.533 285.761 0.00008724981 0.00023455365 0.0000975333 0.0000944259 203731.514 203721.090 203727.904 7.47472 1.25372 2.91444 0.0002583072 4.84384 357.000 0.991667 793.059 285.630 0.00008679392 0.00023519228 0.0000971690 0.0000948377 203305.526 203295.208 203301.907 7.54330 0.93776 2.90923 0.0002583547 4.85350 358.000 0.994445 792.603 285.504 0.00008633736 0.00023582479 0.0000967975 0.0000952431 202895.338 202885.127 202891.709 7.61185 0.62249 2.90422 0.0002583886 4.86038 359.000 0.997223 792.164 285.384 0.00008588022 0.00023645113 0.0000964191 0.0000956419 202500.912 202490.809 202497.275 7.68035 0.30797 2.89939 0.0002584090 4.86451 360.000 1.000000 791.741 285.271 0.00008542273 0.00023707101 0.0000960338 0.0000960339 202122.346 202112.353 202118.703 7.74875 -0.00566 2.89476 0.0002584157 4.86588 Engine speed (Hz) = 1.0000000000 Output power (W) = 4.8658760550 Heat into heater (W) = 7.7487527644 Heat to regenerator (W) = -0.0056575876 Heat removal from cooler (W) = 2.8947592175 Approximate Pumping loss (W) = -0.0015082310 Thermal efficiency (%) = 62.7956034084 The average engine pressure (Pa) = 271630.4721285625 The exp space work per cycle (J) = 7.7491108146 The comp space work per cycle (J) = -2.8832347596 The net work per cycle (J) = 4.8658760550 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5682817210 The expansion work for Vmin-to-Vmax (J) = 26.4341577760 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 791.674 285.336 0.00008544676 0.00023703380 0.0000960338 0.0000960339 202162.112 202127.296 202149.419 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.000 0.001389 791.269 285.229 0.00008498852 0.00023764782 0.0000956417 0.0000964193 201798.985 201764.554 201786.272 0.06840 -0.31302 -0.00444 0.0002584090 -0.00138 2.000 0.002778 790.880 285.126 0.00008452990 0.00023825550 0.0000952429 0.0000967977 201451.515 201417.472 201438.784 0.13670 -0.62517 -0.00869 0.0002583886 -0.00550 3.000 0.004167 790.509 285.030 0.00008407097 0.00023885678 0.0000948375 0.0000971692 201119.667 201086.016 201106.923 0.20488 -0.93641 -0.01275 0.0002583547 -0.01233 4.000 0.005556 790.154 284.940 0.00008361180 0.00023945162 0.0000944257 0.0000975335 200803.410 200770.154 200790.655 0.27294 -1.24672 -0.01662 0.0002583072 -0.02188 5.000 0.006945 789.817 284.855 0.00008315245 0.00024003996 0.0000940076 0.0000978906 200502.711 200469.853 200489.949 0.34085 -1.55604 -0.02030 0.0002582462 -0.03414 6.000 0.008334 789.496 284.777 0.00008269299 0.00024062175 0.0000935834 0.0000982403 200217.540 200185.083 200204.774 0.40859 -1.86434 -0.02379 0.0002581717 -0.04908 7.001 0.009723 789.193 284.704 0.00008223348 0.00024119693 0.0000931531 0.0000985826 199947.866 199915.813 199935.099 0.47616 -2.17157 -0.02709 0.0002580836 -0.06670 8.001 0.011112 788.907 284.637 0.00008177400 0.00024176546 0.0000927169 0.0000989173 199693.660 199662.014 199680.897 0.54353 -2.47771 -0.03020 0.0002579821 -0.08699 9.000 0.012500 788.638 284.576 0.00008131493 0.00024232687 0.0000922752 0.0000992441 199455.062 199423.825 199442.304 0.61064 -2.78248 -0.03312 0.0002578673 -0.10992 10.000 0.013889 788.387 284.521 0.00008085568 0.00024288193 0.0000918276 0.0000995633 199231.701 199200.875 199218.952 0.67758 -3.08630 -0.03585 0.0002577389 -0.13551 11.000 0.015278 788.152 284.471 0.00008039664 0.00024343018 0.0000913745 0.0000998748 199023.728 198993.315 199010.991 0.74427 -3.38890 -0.03839 0.0002575972 -0.16374 12.000 0.016667 787.934 284.427 0.00007993788 0.00024397155 0.0000909160 0.0001001782 198831.119 198801.122 198818.398 0.81070 -3.69025 -0.04075 0.0002574422 -0.19458 13.000 0.018056 787.734 284.389 0.00007947946 0.00024450600 0.0000904523 0.0001004736 198653.851 198624.272 198641.148 0.87686 -3.99031 -0.04292 0.0002572739 -0.22803 14.000 0.019445 787.551 284.357 0.00007902144 0.00024503348 0.0000899835 0.0001007609 198491.902 198462.743 198479.220 0.94273 -4.28904 -0.04490 0.0002570924 -0.26409 15.000 0.020834 787.385 284.330 0.00007856389 0.00024555394 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306.000 0.425000 837.000 300.025 0.00010730810 0.00019645128 0.0001048722 0.0000688324 245798.798 245754.555 245792.820 4.31425 16.78342 3.43046 0.0002400526 0.69952 307.000 0.426389 835.795 299.594 0.00010700362 0.00019728777 0.0001049535 0.0000693761 244558.789 244514.374 244552.593 4.36712 16.50520 3.41529 0.0002406776 0.85275 308.000 0.427778 834.600 299.168 0.00010669316 0.00019812360 0.0001050252 0.0000699212 243334.232 243289.664 243327.821 4.42055 16.22432 3.40031 0.0002412945 1.00321 309.000 0.429167 833.416 298.748 0.00010637688 0.00019895857 0.0001050875 0.0000704675 242125.258 242080.556 242118.634 4.47455 15.94089 3.38552 0.0002419030 1.15090 310.000 0.430556 832.243 298.333 0.00010605493 0.00019979248 0.0001051402 0.0000710148 240931.987 240887.170 240925.152 4.52911 15.65500 3.37092 0.0002425030 1.29579 311.000 0.431945 831.082 297.925 0.00010572745 0.00020062513 0.0001051833 0.0000715629 239754.531 239709.617 239747.488 4.58421 15.36675 3.35651 0.0002430942 1.43787 312.000 0.433334 829.933 297.522 0.00010539458 0.00020145633 0.0001052168 0.0000721117 238592.993 238547.999 238585.745 4.63986 15.07624 3.34230 0.0002436766 1.57713 313.001 0.434723 828.795 297.125 0.00010505647 0.00020228592 0.0001052408 0.0000726610 237447.467 237402.411 237440.017 4.69605 14.78357 3.32828 0.0002442499 1.71356 314.001 0.436112 827.669 296.734 0.00010471325 0.00020311370 0.0001052552 0.0000732106 236318.039 236272.938 236310.389 4.75277 14.48883 3.31446 0.0002448139 1.84714 315.000 0.437500 826.557 296.349 0.00010436532 0.00020393891 0.0001052600 0.0000737600 235205.584 235160.454 235197.738 4.80997 14.19232 3.30085 0.0002453681 1.97777 316.000 0.438889 825.457 295.970 0.00010401231 0.00020476257 0.0001052552 0.0000743098 234108.569 234063.426 234100.530 4.86773 13.89371 3.28743 0.0002459131 2.10564 317.000 0.440278 824.369 295.597 0.00010365460 0.00020558393 0.0001052408 0.0000748595 233027.865 232982.726 233019.637 4.92599 13.59331 3.27421 0.0002464483 2.23063 318.000 0.441667 823.294 295.229 0.00010329234 0.00020640284 0.0001052168 0.0000754088 231963.530 231918.411 231955.116 4.98475 13.29119 3.26118 0.0002469736 2.35274 319.000 0.443056 822.232 294.868 0.00010292563 0.00020721913 0.0001051833 0.0000759575 230915.614 230870.529 230907.017 5.04400 12.98745 3.24836 0.0002474888 2.47196 320.000 0.444445 821.184 294.513 0.00010255463 0.00020803267 0.0001051401 0.0000765057 229884.162 229839.126 229875.386 5.10373 12.68216 3.23574 0.0002479938 2.58828 321.000 0.445834 820.149 294.164 0.00010217944 0.00020884330 0.0001050874 0.0000770530 228869.211 228824.238 228860.260 5.16393 12.37541 3.22332 0.0002484884 2.70171 322.001 0.447223 819.127 293.820 0.00010180020 0.00020965089 0.0001050252 0.0000775992 227870.795 227825.900 227861.673 5.22459 12.06728 3.21111 0.0002489724 2.81222 323.001 0.448612 818.120 293.483 0.00010141703 0.00021045530 0.0001049534 0.0000781443 226888.940 226844.137 226879.651 5.28570 11.75785 3.19910 0.0002494457 2.91983 324.000 0.450000 817.127 293.152 0.00010103033 0.00021125584 0.0001048722 0.0000786877 225924.359 225879.660 225914.907 5.34720 11.44742 3.18729 0.0002499079 3.02445 325.000 0.451389 816.148 292.827 0.00010063966 0.00021205352 0.0001047814 0.0000792300 224975.678 224931.096 224966.066 5.40917 11.13562 3.17569 0.0002503594 3.12622 326.000 0.452778 815.183 292.509 0.00010024542 0.00021284765 0.0001046812 0.0000797706 224043.612 223999.159 224033.844 5.47156 10.82275 3.16428 0.0002507999 3.22508 327.000 0.454167 814.232 292.196 0.00009984772 0.00021363810 0.0001045716 0.0000803094 223128.167 223083.857 223118.248 5.53436 10.50887 3.15308 0.0002512290 3.32101 328.000 0.455556 813.296 291.889 0.00009944667 0.00021442476 0.0001044526 0.0000808462 222229.350 222185.194 222219.284 5.59755 10.19407 3.14208 0.0002516468 3.41402 329.000 0.456945 812.374 291.588 0.00009904239 0.00021520753 0.0001043243 0.0000813808 221347.161 221303.169 221336.951 5.66111 9.87840 3.13129 0.0002520531 3.50410 330.000 0.458334 811.468 291.294 0.00009863499 0.00021598628 0.0001041866 0.0000819131 220481.595 220437.780 220471.246 5.72505 9.56195 3.12070 0.0002524477 3.59126 331.001 0.459723 810.576 291.005 0.00009822457 0.00021676092 0.0001040396 0.0000824429 219632.648 219589.020 219622.163 5.78934 9.24477 3.11031 0.0002528306 3.67550 332.001 0.461112 809.699 290.723 0.00009781124 0.00021753134 0.0001038835 0.0000829701 218800.308 218756.878 218789.692 5.85398 8.92693 3.10013 0.0002532016 3.75681 333.000 0.462500 808.838 290.447 0.00009739541 0.00021829690 0.0001037183 0.0000834941 217985.145 217941.922 217974.402 5.91890 8.60874 3.09016 0.0002535604 3.83514 334.000 0.463889 807.992 290.177 0.00009697658 0.00021905860 0.0001035438 0.0000840155 217185.969 217142.963 217175.102 5.98419 8.28978 3.08038 0.0002539073 3.91061 335.000 0.465278 807.161 289.913 0.00009655515 0.00021981579 0.0001033603 0.0000845338 216403.354 216360.575 216392.368 6.04978 7.97036 3.07080 0.0002542420 3.98316 336.000 0.466667 806.346 289.655 0.00009613121 0.00022056839 0.0001031677 0.0000850488 215637.280 215594.737 215626.179 6.11566 7.65053 3.06143 0.0002545645 4.05280 337.000 0.468056 805.546 289.403 0.00009570488 0.00022131630 0.0001029662 0.0000855603 214887.724 214845.426 214876.513 6.18182 7.33036 3.05226 0.0002548745 4.11952 338.000 0.469445 804.762 289.157 0.00009527624 0.00022205944 0.0001027558 0.0000860683 214154.662 214112.617 214143.344 6.24824 7.00990 3.04329 0.0002551721 4.18333 339.000 0.470834 803.993 288.918 0.00009484538 0.00022279772 0.0001025366 0.0000865725 213438.066 213396.284 213426.646 6.31491 6.68921 3.03452 0.0002554571 4.24424 340.001 0.472223 803.241 288.684 0.00009441241 0.00022353108 0.0001023085 0.0000870728 212737.910 212696.397 212726.390 6.38182 6.36834 3.02596 0.0002557294 4.30224 341.001 0.473612 802.504 288.457 0.00009397742 0.00022425941 0.0001020718 0.0000875690 212054.162 212012.926 212042.548 6.44895 6.04736 3.01759 0.0002559889 4.35735 342.000 0.475000 801.784 288.235 0.00009354080 0.00022498214 0.0001018267 0.0000880607 211387.266 211346.315 211375.561 6.51624 5.72655 3.00943 0.0002562354 4.40953 343.000 0.476389 801.080 288.020 0.00009310202 0.00022570022 0.0001015728 0.0000885484 210736.229 210695.570 210724.437 6.58376 5.40550 3.00147 0.0002564693 4.45886 344.000 0.477778 800.391 287.810 0.00009266148 0.00022641306 0.0001013105 0.0000890316 210101.503 210061.143 210089.628 6.65147 5.08449 2.99370 0.0002566901 4.50531 345.000 0.479167 799.719 287.607 0.00009221927 0.00022712060 0.0001010397 0.0000895102 209483.054 209443.000 209471.100 6.71934 4.76358 2.98614 0.0002568979 4.54889 346.000 0.480556 799.063 287.410 0.00009177548 0.00022782275 0.0001007607 0.0000899839 208880.846 208841.105 208868.817 6.78736 4.44281 2.97877 0.0002570926 4.58960 347.000 0.481945 798.424 287.219 0.00009133018 0.00022851945 0.0001004734 0.0000904527 208294.844 208255.421 208282.744 6.85552 4.12224 2.97160 0.0002572741 4.62744 348.000 0.483334 797.800 287.033 0.00009088345 0.00022921064 0.0001001780 0.0000909164 207725.011 207685.912 207712.843 6.92379 3.80192 2.96463 0.0002574424 4.66243 349.001 0.484723 797.194 286.854 0.00009043539 0.00022989624 0.0000998745 0.0000913749 207171.310 207132.541 207159.078 6.99216 3.48189 2.95785 0.0002575974 4.69457 350.001 0.486112 796.604 286.681 0.00008998606 0.00023057620 0.0000995631 0.0000918280 206633.703 206595.270 206621.411 7.06063 3.16220 2.95127 0.0002577391 4.72387 351.000 0.487500 796.030 286.514 0.00008953588 0.00023124997 0.0000992440 0.0000922753 206112.522 206074.430 206100.174 7.12911 2.84312 2.94490 0.0002578673 4.75032 352.000 0.488889 795.473 286.353 0.00008908427 0.00023191846 0.0000989170 0.0000927172 205606.979 205569.234 205594.579 7.19771 2.52425 2.93871 0.0002579822 4.77397 353.000 0.490278 794.933 286.198 0.00008863164 0.00023258112 0.0000985823 0.0000931534 205117.417 205080.023 205104.968 7.26635 2.20587 2.93272 0.0002580837 4.79480 354.000 0.491667 794.410 286.048 0.00008817805 0.00023323789 0.0000982400 0.0000935837 204643.799 204606.761 204631.304 7.33501 1.88800 2.92693 0.0002581717 4.81282 355.000 0.493056 793.903 285.905 0.00008772359 0.00023388871 0.0000978903 0.0000940080 204186.086 204149.409 204173.550 7.40369 1.57070 2.92133 0.0002582463 4.82804 356.000 0.494445 793.413 285.768 0.00008726832 0.00023453352 0.0000975332 0.0000944261 203744.242 203707.931 203731.668 7.47236 1.25402 2.91592 0.0002583073 4.84047 357.000 0.495834 792.940 285.636 0.00008681233 0.00023517228 0.0000971689 0.0000948378 203318.230 203282.288 203305.621 7.54101 0.93799 2.91071 0.0002583547 4.85011 358.001 0.497223 792.483 285.511 0.00008635567 0.00023580491 0.0000967974 0.0000952432 202908.013 202872.444 202895.373 7.60963 0.62266 2.90569 0.0002583886 4.85699 359.001 0.498612 792.044 285.391 0.00008589843 0.00023643137 0.0000964189 0.0000956420 202513.554 202478.363 202500.887 7.67820 0.30807 2.90087 0.0002584090 4.86110 360.000 0.500000 791.622 285.277 0.00008544100 0.00023705115 0.0000960338 0.0000960339 202135.086 202100.276 202122.395 7.74665 -0.00551 2.89624 0.0002584157 4.86246 Engine speed (Hz) = 2.0000000000 Output power (W) = 9.7249195868 Heat into heater (W) = 15.4932961720 Heat to regenerator (W) = -0.0110277475 Heat removal from cooler (W) = 5.7924757430 Approximate Pumping loss (W) = -0.0105037976 Thermal efficiency (%) = 62.7685644092 The average engine pressure (Pa) = 271623.8099059606 The exp space work per cycle (J) = 7.7472063871 The comp space work per cycle (J) = -2.8847465937 The net work per cycle (J) = 4.8624597934 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5693694861 The expansion work for Vmin-to-Vmax (J) = 26.4318292795 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000001 791.693 285.342 0.00008545607 0.00023701854 0.0000960336 0.0000960342 202189.629 202117.365 202163.286 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000927 791.288 285.234 0.00008499775 0.00023763272 0.0000956414 0.0000964195 201826.355 201754.889 201799.969 0.06840 -0.31308 -0.00444 0.0002584089 -0.00140 2.001 0.001853 790.899 285.132 0.00008453904 0.00023824055 0.0000952426 0.0000967980 201478.733 201408.072 201452.311 0.13671 -0.62530 -0.00870 0.0002583886 -0.00553 3.001 0.002779 790.527 285.036 0.00008408002 0.00023884200 0.0000948372 0.0000971694 201146.729 201076.881 201120.278 0.20490 -0.93661 -0.01276 0.0002583546 -0.01238 4.001 0.003705 790.173 284.945 0.00008362076 0.00023943700 0.0000944254 0.0000975338 200830.311 200761.283 200803.838 0.27296 -1.24698 -0.01663 0.0002583072 -0.02195 5.000 0.004630 789.836 284.861 0.00008316181 0.00024002488 0.0000940078 0.0000978904 200529.764 200461.560 200503.276 0.34081 -1.55604 -0.02031 0.0002582462 -0.03420 6.000 0.005556 789.515 284.783 0.00008270226 0.00024060684 0.0000935835 0.0000982402 200244.407 200177.035 200217.911 0.40856 -1.86441 -0.02380 0.0002581717 -0.04915 7.000 0.006482 789.212 284.710 0.00008224266 0.00024118220 0.0000931532 0.0000985824 199974.543 199908.009 199948.046 0.47613 -2.17172 -0.02710 0.0002580837 -0.06679 8.000 0.007408 788.925 284.643 0.00008178308 0.00024175090 0.0000927170 0.0000989171 199720.144 199654.454 199693.652 0.54351 -2.47793 -0.03021 0.0002579822 -0.08709 9.000 0.008334 788.656 284.582 0.00008132359 0.00024231290 0.0000922750 0.0000992442 199481.182 199416.340 199454.703 0.61068 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0.00010901000 0.00019141407 0.0001041868 0.0000656077 253577.827 253489.071 253568.203 4.00756 18.39098 3.52778 0.0002361426 -0.28019 301.001 0.278705 843.190 302.268 0.00010874466 0.00019224974 0.0001043245 0.0000661401 252248.729 252159.365 252238.638 4.05692 18.13104 3.51151 0.0002368125 -0.11079 302.000 0.279630 841.936 301.809 0.00010847272 0.00019308521 0.0001044527 0.0000666741 250935.488 250845.560 250924.932 4.10682 17.86807 3.49544 0.0002374748 0.05578 303.000 0.280556 840.691 301.356 0.00010819374 0.00019392204 0.0001045717 0.0000672109 249635.459 249545.008 249624.439 4.15736 17.60161 3.47953 0.0002381306 0.21987 304.000 0.281482 839.455 300.908 0.00010790817 0.00019475910 0.0001046813 0.0000677497 248350.252 248259.320 248338.770 4.20848 17.33207 3.46381 0.0002387790 0.38127 305.000 0.282408 838.229 300.465 0.00010761618 0.00019559616 0.0001047815 0.0000682903 247080.037 246988.666 247068.096 4.26018 17.05954 3.44826 0.0002394198 0.53996 306.000 0.283334 837.013 300.028 0.00010731791 0.00019643300 0.0001048722 0.0000688326 245824.976 245733.207 245812.580 4.31246 16.78415 3.43290 0.0002400528 0.69592 307.000 0.284260 835.808 299.596 0.00010701351 0.00019726939 0.0001049535 0.0000693763 244585.218 244493.091 244572.371 4.36532 16.50599 3.41773 0.0002406778 0.84914 308.001 0.285186 834.614 299.170 0.00010670314 0.00019810513 0.0001050252 0.0000699214 243360.904 243268.458 243347.609 4.41874 16.22516 3.40275 0.0002412947 0.99959 309.001 0.286112 833.430 298.750 0.00010638694 0.00019894002 0.0001050875 0.0000704677 242152.163 242059.438 242138.426 4.47272 15.94178 3.38796 0.0002419032 1.14726 310.001 0.287038 832.258 298.336 0.00010606507 0.00019977385 0.0001051402 0.0000710150 240959.115 240866.149 240944.941 4.52727 15.65593 3.37336 0.0002425032 1.29214 311.001 0.287964 831.097 297.927 0.00010573766 0.00020060643 0.0001051833 0.0000715631 239781.873 239688.704 239767.266 4.58236 15.36773 3.35895 0.0002430944 1.43422 312.001 0.288890 829.947 297.524 0.00010540486 0.00020143757 0.0001052169 0.0000721119 238620.539 238527.203 238605.506 4.63800 15.07727 3.34474 0.0002436768 1.57347 313.001 0.289816 828.810 297.127 0.00010506682 0.00020226710 0.0001052408 0.0000726612 237475.207 237381.741 237459.754 4.69418 14.78463 3.33072 0.0002442501 1.70988 314.001 0.290742 827.685 296.736 0.00010472367 0.00020309483 0.0001052552 0.0000732108 236345.964 236252.403 236330.097 4.75089 14.48993 3.31690 0.0002448141 1.84346 315.000 0.291667 826.573 296.352 0.00010437592 0.00020391969 0.0001052600 0.0000737600 235234.082 235140.460 235217.808 4.80805 14.19357 3.30330 0.0002453681 1.97403 316.000 0.292593 825.473 295.973 0.00010402297 0.00020474332 0.0001052552 0.0000743098 234137.226 234043.578 234120.552 4.86580 13.89499 3.28987 0.0002459131 2.10189 317.000 0.293519 824.385 295.599 0.00010366532 0.00020556466 0.0001052408 0.0000748595 233056.673 232963.031 233039.606 4.92405 13.59462 3.27665 0.0002464483 2.22687 318.000 0.294445 823.311 295.232 0.00010330310 0.00020638353 0.0001052168 0.0000754088 231992.479 231898.876 231975.026 4.98281 13.29253 3.26363 0.0002469736 2.34897 319.000 0.295371 822.249 294.871 0.00010293644 0.00020719981 0.0001051833 0.0000759575 230944.695 230851.161 230926.863 5.04205 12.98881 3.25081 0.0002474888 2.46818 320.000 0.296297 821.201 294.516 0.00010256548 0.00020801333 0.0001051401 0.0000765057 229913.365 229819.932 229895.161 5.10177 12.68354 3.23818 0.0002479938 2.58449 321.000 0.297223 820.166 294.166 0.00010219033 0.00020882396 0.0001050874 0.0000770530 228898.528 228805.225 228879.961 5.16196 12.37681 3.22577 0.0002484884 2.69790 322.001 0.298149 819.145 293.823 0.00010181112 0.00020963155 0.0001050252 0.0000775992 227900.216 227807.072 227881.293 5.22261 12.06870 3.21355 0.0002489724 2.80841 323.001 0.299075 818.138 293.486 0.00010142798 0.00021043597 0.0001049534 0.0000781443 226918.456 226825.501 226899.186 5.28371 11.75928 3.20153 0.0002494457 2.91600 324.001 0.300001 817.145 293.155 0.00010104103 0.00021123709 0.0001048721 0.0000786881 225953.272 225860.532 225933.663 5.34525 11.44864 3.18972 0.0002499082 3.02068 325.001 0.300927 816.166 292.830 0.00010065038 0.00021203479 0.0001047814 0.0000792304 225004.681 224912.183 224984.740 5.40721 11.13684 3.17811 0.0002503598 3.12245 326.001 0.301853 815.201 292.511 0.00010025616 0.00021282894 0.0001046812 0.0000797710 224072.695 223980.465 224052.431 5.46960 10.82397 3.16671 0.0002508002 3.22129 327.001 0.302779 814.250 292.198 0.00009985847 0.00021361942 0.0001045715 0.0000803098 223157.323 223065.387 223136.745 5.53238 10.51010 3.15551 0.0002512293 3.31721 328.001 0.303705 813.314 291.892 0.00009945743 0.00021440611 0.0001044525 0.0000808466 222258.570 222166.951 222237.685 5.59556 10.19529 3.14451 0.0002516471 3.41020 329.000 0.304630 812.394 291.592 0.00009905359 0.00021518807 0.0001043243 0.0000813806 221377.380 221286.102 221356.197 5.65906 9.87997 3.13373 0.0002520529 3.50017 330.000 0.305556 811.487 291.297 0.00009864619 0.00021596687 0.0001041866 0.0000819129 220511.844 220420.931 220490.371 5.72299 9.56350 3.12313 0.0002524476 3.58732 331.000 0.306482 810.596 291.009 0.00009823578 0.00021674156 0.0001040397 0.0000824427 219662.917 219572.392 219641.164 5.78728 9.24632 3.11275 0.0002528304 3.67155 332.000 0.307408 809.719 290.726 0.00009782245 0.00021751204 0.0001038835 0.0000829699 218830.591 218740.474 218808.565 5.85191 8.92847 3.10256 0.0002532015 3.75285 333.000 0.308334 808.858 290.450 0.00009740631 0.00021827821 0.0001037182 0.0000834943 218014.852 217925.165 217992.562 5.91687 8.61003 3.09258 0.0002535605 3.83122 334.000 0.309260 808.011 290.180 0.00009698746 0.00021903998 0.0001035437 0.0000840157 217215.685 217126.448 217193.139 5.98215 8.29106 3.08280 0.0002539074 3.90668 335.001 0.310186 807.181 289.916 0.00009656602 0.00021979724 0.0001033602 0.0000845339 216433.072 216344.304 216410.279 6.04774 7.97162 3.07322 0.0002542422 3.97922 336.001 0.311112 806.365 289.658 0.00009614207 0.00022054991 0.0001031676 0.0000850489 215666.993 215578.714 215643.961 6.11362 7.65177 3.06385 0.0002545646 4.04884 337.001 0.312038 805.566 289.407 0.00009571571 0.00022129790 0.0001029661 0.0000855605 214917.424 214829.652 214894.162 6.17977 7.33157 3.05468 0.0002548746 4.11555 338.001 0.312964 804.782 289.161 0.00009528704 0.00022204112 0.0001027557 0.0000860685 214184.342 214097.095 214160.858 6.24619 7.01109 3.04571 0.0002551722 4.17934 339.001 0.313890 804.013 288.921 0.00009485616 0.00022277950 0.0001025365 0.0000865727 213467.720 213381.015 213444.022 6.31286 6.69037 3.03694 0.0002554572 4.24024 340.001 0.314816 803.261 288.688 0.00009442316 0.00022351294 0.0001023085 0.0000870730 212767.529 212681.383 212743.626 6.37977 6.36948 3.02837 0.0002557295 4.29823 341.001 0.315742 802.524 288.460 0.00009398812 0.00022424137 0.0001020718 0.0000875692 212083.740 211998.169 212059.640 6.44689 6.04847 3.02000 0.0002559890 4.35332 342.000 0.316667 801.804 288.239 0.00009355163 0.00022496394 0.0001018267 0.0000880607 211417.034 211332.052 211392.745 6.51416 5.72774 3.01184 0.0002562354 4.40547 343.000 0.317593 801.100 288.024 0.00009311281 0.00022568213 0.0001015728 0.0000885484 210765.937 210681.560 210741.468 6.58168 5.40665 3.00388 0.0002564693 4.45479 344.000 0.318519 800.411 287.814 0.00009267223 0.00022639508 0.0001013105 0.0000890316 210131.145 210047.387 210106.503 6.64939 5.08560 2.99611 0.0002566901 4.50123 345.000 0.319445 799.739 287.611 0.00009222997 0.00022710273 0.0001010397 0.0000895102 209512.623 209429.499 209487.817 6.71726 4.76465 2.98854 0.0002568979 4.54479 346.000 0.320371 799.083 287.414 0.00009178612 0.00022780500 0.0001007607 0.0000899839 208910.336 208827.860 208885.374 6.78528 4.44384 2.98117 0.0002570926 4.58548 347.000 0.321297 798.444 287.223 0.00009134077 0.00022850182 0.0001004734 0.0000904527 208324.249 208242.433 208299.138 6.85344 4.12323 2.97400 0.0002572741 4.62331 348.000 0.322223 797.820 287.038 0.00009089399 0.00022919313 0.0001001780 0.0000909164 207754.325 207673.181 207729.074 6.92171 3.80286 2.96702 0.0002574424 4.65829 349.001 0.323149 797.214 286.859 0.00009044587 0.00022987887 0.0000998745 0.0000913749 207200.527 207120.067 207175.143 6.99009 3.48278 2.96025 0.0002575974 4.69042 350.001 0.324075 796.624 286.686 0.00008999649 0.00023055896 0.0000995631 0.0000918280 206662.817 206583.053 206637.309 7.05855 3.16304 2.95367 0.0002577391 4.71970 351.001 0.325001 796.050 286.518 0.00008954592 0.00023123335 0.0000992438 0.0000922756 206141.158 206062.102 206115.533 7.12709 2.84368 2.94729 0.0002578674 4.74616 352.001 0.325927 795.493 286.357 0.00008909424 0.00023190197 0.0000989167 0.0000927176 205635.513 205557.175 205609.779 7.19569 2.52476 2.94110 0.0002579823 4.76979 353.001 0.326853 794.953 286.202 0.00008864154 0.00023256477 0.0000985820 0.0000931538 205145.844 205068.234 205120.007 7.26433 2.20632 2.93511 0.0002580838 4.79060 354.001 0.327779 794.429 286.053 0.00008818788 0.00023322167 0.0000982397 0.0000935840 204672.112 204595.241 204646.182 7.33300 1.88840 2.92931 0.0002581718 4.80860 355.001 0.328705 793.922 285.910 0.00008773335 0.00023387264 0.0000978900 0.0000940083 204214.281 204138.158 204188.265 7.40168 1.57104 2.92371 0.0002582463 4.82381 356.000 0.329630 793.432 285.773 0.00008727850 0.00023451691 0.0000975333 0.0000944259 203772.783 203697.416 203746.687 7.47028 1.25464 2.91831 0.0002583072 4.83621 357.000 0.330556 792.959 285.641 0.00008682243 0.00023515581 0.0000971690 0.0000948377 203346.625 203272.025 203320.458 7.53894 0.93855 2.91309 0.0002583547 4.84584 358.000 0.331482 792.503 285.516 0.00008636569 0.00023578860 0.0000967975 0.0000952431 202936.258 202862.432 202910.025 7.60756 0.62316 2.90807 0.0002583886 4.85271 359.000 0.332408 792.063 285.396 0.00008590837 0.00023641522 0.0000964191 0.0000956419 202541.644 202468.601 202515.355 7.67614 0.30851 2.90324 0.0002584090 4.85681 360.000 0.333334 791.641 285.283 0.00008545053 0.00023703561 0.0000960337 0.0000960340 202162.749 202090.497 202136.410 7.74464 -0.00537 2.89861 0.0002584157 4.85815 Engine speed (Hz) = 3.0000000000 Output power (W) = 14.5744598589 Heat into heater (W) = 23.2339224340 Heat to regenerator (W) = -0.0161018094 Heat removal from cooler (W) = 8.6958279596 Approximate Pumping loss (W) = -0.0326880795 Thermal efficiency (%) = 62.7292266310 The average engine pressure (Pa) = 271627.2316431604 The exp space work per cycle (J) = 7.7452840592 The comp space work per cycle (J) = -2.8871307729 The net work per cycle (J) = 4.8581532863 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5717493574 The expansion work for Vmin-to-Vmax (J) = 26.4299026437 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000001 791.745 285.348 0.00008546601 0.00023700028 0.0000960333 0.0000960344 202226.927 202105.577 202182.696 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000695 791.340 285.240 0.00008500791 0.00023761421 0.0000956414 0.0000964195 201863.701 201743.690 201819.397 0.06835 -0.31293 -0.00444 0.0002584089 -0.00142 2.000 0.001389 790.951 285.138 0.00008454944 0.00023822183 0.0000952429 0.0000967977 201516.098 201397.438 201471.734 0.13660 -0.62501 -0.00870 0.0002583886 -0.00556 3.001 0.002084 790.579 285.042 0.00008408998 0.00023882392 0.0000948372 0.0000971694 201183.619 201066.323 201139.206 0.20484 -0.93663 -0.01277 0.0002583546 -0.01244 4.000 0.002778 790.224 284.952 0.00008363094 0.00023941871 0.0000944257 0.0000975335 200867.187 200751.265 200822.737 0.27285 -1.24687 -0.01664 0.0002583072 -0.02201 5.001 0.003473 789.886 284.868 0.00008317106 0.00024000786 0.0000940073 0.0000978908 200565.859 200451.324 200521.384 0.34081 -1.55657 -0.02032 0.0002582461 -0.03430 6.000 0.004167 789.566 284.790 0.00008271173 0.00024058962 0.0000935834 0.0000982403 200280.472 200167.331 200235.983 0.40851 -1.86480 -0.02381 0.0002581717 -0.04927 7.001 0.004862 789.262 284.717 0.00008225169 0.00024116561 0.0000931527 0.0000985828 200010.173 199898.439 199965.681 0.47613 -2.17242 -0.02712 0.0002580836 -0.06693 8.001 0.005556 788.975 284.650 0.00008179232 0.00024173412 0.0000927169 0.0000989173 199755.712 199645.392 199711.229 0.54346 -2.47849 -0.03023 0.0002579821 -0.08724 9.001 0.006251 788.706 284.589 0.00008133238 0.00024229674 0.0000922746 0.0000992445 199516.327 199407.432 199471.864 0.61067 -2.78387 -0.03316 0.0002578671 -0.11024 10.001 0.006945 788.454 284.534 0.00008087324 0.00024285180 0.0000918273 0.0000995636 199292.681 199185.218 199248.249 0.67757 -3.08764 -0.03590 0.0002577388 -0.13584 11.000 0.007639 788.219 284.485 0.00008041432 0.00024340005 0.0000913745 0.0000998748 199084.393 198978.370 199040.003 0.74422 -3.39019 -0.03844 0.0002575972 -0.16408 12.001 0.008334 788.001 284.441 0.00007995501 0.00024394223 0.0000909157 0.0001001784 198891.172 198786.598 198846.835 0.81071 -3.69193 -0.04081 0.0002574421 -0.19498 13.000 0.009028 787.800 284.403 0.00007949669 0.00024447671 0.0000904523 0.0001004736 198713.551 198610.431 198669.278 0.87683 -3.99194 -0.04298 0.0002572739 -0.22844 14.001 0.009723 787.616 284.371 0.00007903812 0.00024500498 0.0000899831 0.0001007611 198550.996 198449.340 198506.798 0.94275 -4.29105 -0.04497 0.0002570923 -0.26455 15.000 0.010417 787.450 284.345 0.00007858066 0.00024552547 0.0000895097 0.0001010399 198403.954 198303.766 198359.842 1.00827 -4.58837 -0.04677 0.0002568977 -0.30319 16.001 0.011112 787.301 284.324 0.00007812308 0.00024603963 0.0000890309 0.0001013109 198271.983 198173.271 198227.967 1.07357 -4.88472 -0.04838 0.0002566897 -0.34445 17.001 0.011806 787.169 284.310 0.00007766673 0.00024654591 0.0000885480 0.0001015730 198155.444 198058.212 198111.534 1.13843 -5.17920 -0.04980 0.0002564691 -0.38822 18.001 0.012501 787.054 284.300 0.00007721038 0.00024704574 0.0000880600 0.0001018271 198053.984 197958.240 198010.193 1.20302 -5.47262 -0.05104 0.0002562351 -0.43460 19.001 0.013195 786.956 284.297 0.00007675540 0.00024753760 0.0000875683 0.0001020722 197967.881 197873.628 197924.218 1.26716 -5.76411 -0.05209 0.0002559885 -0.48344 20.000 0.013889 786.876 284.299 0.00007630118 0.00024802218 0.0000870724 0.0001023087 197896.964 197804.205 197853.439 1.33090 -6.05404 -0.05296 0.0002557291 -0.53479 21.001 0.014584 786.813 284.307 0.00007584714 0.00024850009 0.0000865717 0.0001025369 197841.150 197749.893 197797.774 1.39434 -6.34280 -0.05364 0.0002554566 -0.58873 22.000 0.015278 786.767 284.321 0.00007539465 0.00024896991 0.0000860678 0.0001027560 197800.590 197710.836 197757.373 1.45726 -6.62951 -0.05414 0.0002551718 -0.64508 23.001 0.015973 786.738 284.340 0.00007494247 0.00024943293 0.0000855595 0.0001029665 197775.156 197686.910 197732.109 1.51984 -6.91497 -0.05444 0.0002548741 -0.70400 24.000 0.016667 786.726 284.365 0.00007449195 0.00024988777 0.0000850483 0.0001031679 197764.914 197678.177 197722.046 1.58187 -7.19832 -0.05457 0.0002545642 -0.76529 25.001 0.017362 786.732 284.396 0.00007404187 0.00025033567 0.0000845329 0.0001033606 197769.826 197684.605 197727.149 1.64353 -7.48032 -0.05451 0.0002542415 -0.82912 26.001 0.018056 786.755 284.432 0.00007359357 0.00025077528 0.0000840150 0.0001035440 197789.875 197706.167 197747.397 1.70461 -7.76015 -0.05426 0.0002539070 -0.89529 27.001 0.018751 786.794 284.474 0.00007314582 0.00025120782 0.0000834932 0.0001037185 197825.112 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0.00010732771 0.00019641157 0.0001048723 0.0000688331 245860.459 245706.488 245839.669 4.31097 16.78461 3.43613 0.0002400535 0.69138 307.001 0.213195 835.854 299.599 0.00010702366 0.00019724724 0.0001049535 0.0000693765 244621.911 244467.336 244600.363 4.36377 16.50672 3.42096 0.0002406781 0.84448 308.000 0.213889 834.661 299.174 0.00010671363 0.00019808226 0.0001050252 0.0000699212 243398.771 243243.660 243376.473 4.41712 16.22617 3.40599 0.0002412945 0.99481 309.001 0.214584 833.477 298.753 0.00010639732 0.00019891764 0.0001050875 0.0000704679 242189.440 242033.857 242166.398 4.47112 15.94265 3.39119 0.0002419034 1.14258 310.000 0.215278 832.306 298.339 0.00010607579 0.00019975077 0.0001051402 0.0000710148 240997.519 240841.530 240973.744 4.52560 15.65709 3.37660 0.0002425030 1.28735 311.001 0.215973 831.145 297.930 0.00010574825 0.00020058386 0.0001051833 0.0000715633 239819.686 239663.351 239795.184 4.58071 15.36874 3.36218 0.0002430947 1.42951 312.000 0.216667 829.997 297.528 0.00010541580 0.00020141432 0.0001052168 0.0000721117 238659.431 238502.814 238634.214 4.63628 15.07855 3.34798 0.0002436766 1.56865 313.001 0.217362 828.859 297.130 0.00010507761 0.00020224437 0.0001052408 0.0000726614 237513.505 237356.666 237487.582 4.69248 14.78576 3.33395 0.0002442503 1.70516 314.001 0.218056 827.735 296.740 0.00010473479 0.00020307144 0.0001052552 0.0000732106 236385.293 236228.292 236358.675 4.74912 14.49132 3.32014 0.0002448139 1.83862 315.001 0.218751 826.621 296.354 0.00010438651 0.00020389774 0.0001052600 0.0000737608 235271.622 235114.516 235244.319 4.80637 14.19447 3.30651 0.0002453688 1.96942 316.001 0.219445 825.522 295.975 0.00010403389 0.00020472072 0.0001052552 0.0000743102 234175.767 234018.613 234147.792 4.86405 13.89616 3.29310 0.0002459134 2.09717 317.000 0.220139 824.436 295.602 0.00010367657 0.00020554142 0.0001052408 0.0000748595 233096.178 232939.032 233067.543 4.92224 13.59604 3.27988 0.0002464483 2.22204 318.001 0.220834 823.361 295.235 0.00010331416 0.00020636086 0.0001052168 0.0000754092 232031.393 231874.309 232002.108 4.98101 13.29377 3.26685 0.0002469740 2.34422 319.000 0.221528 822.300 294.874 0.00010294783 0.00020717652 0.0001051833 0.0000759575 230984.526 230827.556 230954.605 5.04018 12.99030 3.25403 0.0002474888 2.46332 320.001 0.222223 821.251 294.518 0.00010257666 0.00020799061 0.0001051401 0.0000765061 229952.604 229795.800 229922.059 5.09992 12.68485 3.24140 0.0002479942 2.57971 321.000 0.222917 820.218 294.169 0.00010220184 0.00020880064 0.0001050874 0.0000770530 228938.635 228782.048 228907.481 5.16005 12.37837 3.22899 0.0002484884 2.69302 322.001 0.223612 819.196 293.826 0.00010182241 0.00020960881 0.0001050251 0.0000775996 227939.732 227783.409 227907.979 5.22072 12.07006 3.21677 0.0002489728 2.80359 323.001 0.224306 818.190 293.489 0.00010143959 0.00021041266 0.0001049534 0.0000781443 226958.794 226802.784 226926.459 5.28175 11.76088 3.20476 0.0002494457 2.91110 324.001 0.225001 817.196 293.158 0.00010105240 0.00021121438 0.0001048721 0.0000786885 225993.019 225837.368 225960.113 5.34331 11.45003 3.19294 0.0002499086 3.01584 325.001 0.225695 816.218 292.833 0.00010066207 0.00021201152 0.0001047814 0.0000792304 225045.203 224889.955 225011.740 5.40521 11.13847 3.18134 0.0002503598 3.11751 326.000 0.226389 815.254 292.515 0.00010026816 0.00021280513 0.0001046812 0.0000797706 224113.957 223959.156 224079.952 5.46753 10.82584 3.16994 0.0002507999 3.21627 327.001 0.227084 814.303 292.202 0.00009987022 0.00021359621 0.0001045715 0.0000803098 223197.984 223043.673 223163.449 5.53034 10.51175 3.15872 0.0002512293 3.31224 328.000 0.227778 813.367 291.895 0.00009946949 0.00021438239 0.0001044526 0.0000808462 222299.925 222146.144 222264.876 5.59346 10.19717 3.14773 0.0002516468 3.40515 329.001 0.228473 812.446 291.595 0.00009906494 0.00021516581 0.0001043242 0.0000813812 221417.192 221263.982 221381.641 5.65704 9.88128 3.13693 0.0002520534 3.49527 330.000 0.229167 811.540 291.300 0.00009865785 0.00021594410 0.0001041866 0.0000819131 220552.323 220399.722 220516.285 5.72091 9.56504 3.12634 0.0002524477 3.58234 331.001 0.229862 810.648 291.012 0.00009824714 0.00021671941 0.0001040395 0.0000824433 219702.818 219550.865 219666.308 5.78523 9.24762 3.11594 0.0002528308 3.66661 332.001 0.230556 809.772 290.730 0.00009783411 0.00021748941 0.0001038835 0.0000829701 218871.114 218719.844 218834.146 5.84979 8.92999 3.10576 0.0002532016 3.74783 333.001 0.231251 808.910 290.454 0.00009741767 0.00021825620 0.0001037180 0.0000834948 218054.800 217904.249 218017.387 5.91478 8.61131 3.09577 0.0002535609 3.82624 334.001 0.231945 808.065 290.184 0.00009699912 0.00021901750 0.0001035437 0.0000840159 217256.211 217106.412 217218.369 5.98000 8.29255 3.08600 0.0002539075 3.90163 335.000 0.232639 807.235 289.920 0.00009657797 0.00021977431 0.0001033603 0.0000845338 216474.142 216325.129 216435.884 6.04552 7.97332 3.07643 0.0002542420 3.97410 336.001 0.233334 806.419 289.662 0.00009615369 0.00022052761 0.0001031676 0.0000850491 215707.482 215559.288 215668.823 6.11143 7.65322 3.06704 0.0002545647 4.04375 337.000 0.234028 805.620 289.411 0.00009572762 0.00022127517 0.0001029662 0.0000855603 214958.415 214811.069 214919.368 6.17752 7.33322 3.05787 0.0002548745 4.11039 338.001 0.234723 804.835 289.165 0.00009529863 0.00022201904 0.0001027556 0.0000860686 214224.757 214078.291 214185.337 6.24397 7.01248 3.04889 0.0002551723 4.17422 339.000 0.235417 804.067 288.925 0.00009486803 0.00022275699 0.0001025366 0.0000865725 213508.594 213363.034 213468.815 6.31058 6.69196 3.04013 0.0002554571 4.23505 340.001 0.236112 803.314 288.692 0.00009443468 0.00022349108 0.0001023084 0.0000870732 212807.833 212663.210 212767.708 6.37752 6.37080 3.03155 0.0002557295 4.29307 341.001 0.236806 802.578 288.465 0.00009399993 0.00022421912 0.0001020718 0.0000875690 212124.462 211980.801 212084.006 6.44458 6.04998 3.02319 0.0002559889 4.34811 342.001 0.237501 801.857 288.243 0.00009356260 0.00022494312 0.0001018263 0.0000880614 211456.480 211313.808 211415.706 6.51195 5.72864 3.01501 0.0002562358 4.40033 343.001 0.238195 801.153 288.028 0.00009312405 0.00022566092 0.0001015726 0.0000885488 210805.777 210664.119 210764.700 6.57942 5.40774 3.00705 0.0002564694 4.44959 344.000 0.238889 800.465 287.819 0.00009268374 0.00022637350 0.0001013105 0.0000890316 210171.347 210030.727 210129.980 6.64706 5.08688 2.99929 0.0002566901 4.49598 345.001 0.239584 799.792 287.616 0.00009224111 0.00022708180 0.0001010395 0.0000895105 209552.277 209412.719 209510.634 6.71497 4.76565 2.99171 0.0002568980 4.53955 346.000 0.240278 799.137 287.419 0.00009179753 0.00022778371 0.0001007607 0.0000899839 208950.314 208811.839 208908.408 6.78293 4.44502 2.98434 0.0002570926 4.58020 347.001 0.240973 798.497 287.228 0.00009135180 0.00022848119 0.0001004732 0.0000904530 208363.686 208226.319 208321.530 6.85112 4.12412 2.97716 0.0002572742 4.61804 348.000 0.241667 797.874 287.043 0.00009090528 0.00022917216 0.0001001780 0.0000909164 207794.046 207657.805 207751.654 6.91933 3.80392 2.97019 0.0002574424 4.65297 349.001 0.242362 797.267 286.864 0.00009045677 0.00022985855 0.0000998743 0.0000913752 207239.715 207104.622 207197.100 6.98774 3.48356 2.96341 0.0002575975 4.68510 350.001 0.243056 796.677 286.691 0.00009000764 0.00023053832 0.0000995631 0.0000918280 206702.251 206568.325 206659.426 7.05615 3.16399 2.95683 0.0002577391 4.71435 351.001 0.243751 796.103 286.524 0.00008955667 0.00023121337 0.0000992435 0.0000922759 206180.068 206047.329 206137.047 7.12473 2.84434 2.95044 0.0002578675 4.74080 352.001 0.244445 795.546 286.363 0.00008910525 0.00023188168 0.0000989167 0.0000927176 205674.631 205543.095 205631.426 7.19327 2.52559 2.94425 0.0002579823 4.76439 353.000 0.245139 795.006 286.208 0.00008865279 0.00023254418 0.0000985823 0.0000931534 205185.140 205054.825 205141.764 7.26185 2.20731 2.93826 0.0002580837 4.78517 354.001 0.245834 794.482 286.059 0.00008819872 0.00023320175 0.0000982397 0.0000935840 204710.887 204581.810 204667.352 7.33056 1.88909 2.93246 0.0002581718 4.80317 355.000 0.246528 793.975 285.916 0.00008774443 0.00023385244 0.0000978903 0.0000940080 204253.198 204125.375 204209.518 7.39919 1.57189 2.92686 0.0002582463 4.81835 356.001 0.247223 793.484 285.778 0.00008728867 0.00023449806 0.0000975329 0.0000944264 203810.719 203684.166 203766.904 7.46790 1.25485 2.92145 0.0002583073 4.83076 357.000 0.247917 793.011 285.647 0.00008683284 0.00023513670 0.0000971689 0.0000948378 203384.684 203259.416 203340.749 7.53650 0.93891 2.91623 0.0002583547 4.84036 358.001 0.248612 792.554 285.522 0.00008637568 0.00023577014 0.0000967971 0.0000952435 202973.831 202849.863 202929.787 7.60517 0.62322 2.91120 0.0002583886 4.84721 359.001 0.249306 792.115 285.403 0.00008591859 0.00023639650 0.0000964189 0.0000956420 202579.306 202456.650 202535.166 7.67369 0.30871 2.90638 0.0002584090 4.85129 360.001 0.250001 791.692 285.289 0.00008546033 0.00023701754 0.0000960333 0.0000960345 202199.936 202078.608 202155.711 7.74223 -0.00546 2.90174 0.0002584157 4.85262 Engine speed (Hz) = 4.0000000000 Output power (W) = 19.4104617682 Heat into heater (W) = 30.9689384256 Heat to regenerator (W) = -0.0218564823 Heat removal from cooler (W) = 11.6069419359 Approximate Pumping loss (W) = -0.0731478293 Thermal efficiency (%) = 62.6771944891 The average engine pressure (Pa) = 271633.9828938032 The exp space work per cycle (J) = 7.7428271256 The comp space work per cycle (J) = -2.8902116835 The net work per cycle (J) = 4.8526154421 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5749712279 The expansion work for Vmin-to-Vmax (J) = 26.4275866699 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000001 791.816 285.355 0.00008547776 0.00023697812 0.0000960331 0.0000960346 202273.095 202091.648 202206.969 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000556 791.410 285.248 0.00008501971 0.00023759208 0.0000956414 0.0000964195 201909.732 201730.284 201843.497 0.06831 -0.31292 -0.00445 0.0002584089 -0.00144 2.002 0.001112 791.021 285.146 0.00008456045 0.00023820082 0.0000952423 0.0000967983 201561.362 201383.934 201495.036 0.13666 -0.62554 -0.00871 0.0002583886 -0.00561 3.001 0.001667 790.649 285.050 0.00008410169 0.00023880209 0.0000948373 0.0000971693 201229.204 201053.811 201162.805 0.20476 -0.93670 -0.01277 0.0002583547 -0.01250 4.001 0.002223 790.294 284.960 0.00008364186 0.00023939799 0.0000944252 0.0000975339 200912.031 200738.692 200845.575 0.27286 -1.24749 -0.01665 0.0002583071 -0.02211 5.000 0.002778 789.956 284.876 0.00008318268 0.00023998635 0.0000940076 0.0000978906 200610.950 200439.679 200544.456 0.34069 -1.55673 -0.02034 0.0002582462 -0.03441 6.001 0.003334 789.635 284.798 0.00008272255 0.00024056921 0.0000935830 0.0000982405 200324.847 200155.662 200258.331 0.40848 -1.86552 -0.02384 0.0002581716 -0.04941 7.000 0.003889 789.331 284.725 0.00008226320 0.00024114443 0.0000931532 0.0000985824 200054.721 199887.634 199988.201 0.47597 -2.17269 -0.02714 0.0002580837 -0.06707 8.001 0.004445 789.044 284.659 0.00008180304 0.00024171404 0.0000927167 0.0000989174 199799.571 199634.599 199733.063 0.54339 -2.47931 -0.03026 0.0002579821 -0.08743 9.002 0.005001 788.774 284.598 0.00008134296 0.00024227693 0.0000922744 0.0000992446 199559.868 199397.025 199493.390 0.61060 -2.78480 -0.03320 0.0002578671 -0.11044 10.001 0.005556 788.522 284.543 0.00008088384 0.00024283206 0.0000918273 0.0000995636 199335.977 199175.272 199269.545 0.67746 -3.08857 -0.03593 0.0002577388 -0.13606 11.002 0.006112 788.286 284.494 0.00008042412 0.00024338138 0.0000913738 0.0000998752 199127.065 198968.515 199060.696 0.74421 -3.39167 -0.03849 0.0002575970 -0.16436 12.001 0.006667 788.068 284.450 0.00007996548 0.00024392286 0.0000909158 0.0001001783 198933.860 198777.472 198867.569 0.81057 -3.69297 -0.04085 0.0002574422 -0.19523 13.001 0.007223 787.867 284.413 0.00007950636 0.00024445838 0.0000904518 0.0001004739 198755.643 198601.431 198689.447 0.87678 -3.99353 -0.04303 0.0002572737 -0.22876 14.000 0.007778 787.683 284.381 0.00007904846 0.00024498599 0.0000899835 0.0001007609 198593.032 198441.004 198526.948 0.94258 -4.29223 -0.04502 0.0002570924 -0.26483 15.001 0.008334 787.516 284.355 0.00007859020 0.00024550751 0.0000895094 0.0001010401 198445.422 198295.591 198379.466 1.00819 -4.59009 -0.04682 0.0002568976 -0.30354 16.000 0.008889 787.367 284.334 0.00007813329 0.00024602103 0.0000890314 0.0001013106 198313.325 198165.696 198247.512 1.07337 -4.88602 -0.04844 0.0002566900 -0.34476 17.001 0.009445 787.234 284.320 0.00007767613 0.00024652834 0.0000885478 0.0001015731 198196.246 198050.833 198130.593 1.13832 -5.18104 -0.04987 0.0002564690 -0.38861 18.002 0.010001 787.119 284.311 0.00007721963 0.00024702845 0.0000880598 0.0001018272 198094.421 197951.231 198028.944 1.20291 -5.47458 -0.05111 0.0002562350 -0.43500 19.001 0.010556 787.021 284.307 0.00007676465 0.00024752042 0.0000875683 0.0001020722 198007.977 197867.014 197942.690 1.26702 -5.76608 -0.05217 0.0002559885 -0.48385 20.002 0.011112 786.940 284.310 0.00007630963 0.00024800598 0.0000870716 0.0001023091 197936.588 197797.863 197871.508 1.33086 -6.05655 -0.05304 0.0002557287 -0.53530 21.001 0.011667 786.876 284.318 0.00007585625 0.00024848332 0.0000865719 0.0001025368 197880.499 197744.014 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0.00010332737 0.00020633267 0.0001052168 0.0000754090 232080.763 231846.065 232037.022 4.97896 13.29543 3.27081 0.0002469738 2.33828 319.001 0.177223 822.369 294.877 0.00010296060 0.00020714947 0.0001051832 0.0000759581 231032.582 230798.050 230987.888 5.03818 12.99157 3.25798 0.0002474894 2.45754 320.000 0.177778 821.322 294.522 0.00010259017 0.00020796208 0.0001051401 0.0000765057 230002.693 229768.403 229957.067 5.09779 12.68671 3.24537 0.0002479938 2.57370 321.001 0.178334 820.288 294.173 0.00010221488 0.00020877327 0.0001050874 0.0000770533 228987.423 228753.452 228940.883 5.15797 12.37982 3.23294 0.0002484887 2.68716 322.000 0.178889 819.268 293.830 0.00010183621 0.00020957999 0.0001050252 0.0000775990 227990.458 227756.877 227943.025 5.21850 12.07210 3.22073 0.0002489722 2.79752 323.001 0.179445 818.261 293.493 0.00010145290 0.00021038500 0.0001049534 0.0000781445 227008.232 226775.113 226959.925 5.27959 11.76250 3.20870 0.0002494459 2.90516 324.002 0.180001 817.267 293.162 0.00010106576 0.00021118673 0.0001048720 0.0000786887 226042.580 225809.992 225993.418 5.34112 11.45167 3.19688 0.0002499087 3.00988 325.001 0.180556 816.289 292.837 0.00010067562 0.00021198361 0.0001047814 0.0000792304 225095.211 224863.220 225045.217 5.40297 11.14025 3.18528 0.0002503598 3.11150 326.002 0.181112 815.324 292.518 0.00010028118 0.00021277840 0.0001046811 0.0000797714 224162.724 223931.398 224111.917 5.46535 10.82718 3.17386 0.0002508005 3.21037 327.001 0.181667 814.375 292.206 0.00009988398 0.00021356810 0.0001045716 0.0000803096 223248.483 223017.883 223196.885 5.52802 10.51366 3.16267 0.0002512292 3.30616 328.001 0.182223 813.439 291.899 0.00009948271 0.00021435546 0.0001044525 0.0000808467 222349.198 222119.387 222296.828 5.59119 10.19863 3.15166 0.0002516472 3.39918 329.000 0.182778 812.519 291.599 0.00009907891 0.00021513753 0.0001043243 0.0000813808 221468.104 221239.141 221414.986 5.65464 9.88331 3.14087 0.0002520531 3.48912 330.001 0.183334 811.612 291.304 0.00009867125 0.00021591702 0.0001041865 0.0000819135 220602.025 220373.968 220548.177 5.71857 9.56661 3.13027 0.0002524480 3.57630 331.000 0.183889 810.721 291.016 0.00009826130 0.00021669102 0.0001040397 0.0000824427 219754.068 219526.973 219699.514 5.78274 9.24975 3.11989 0.0002528304 3.66039 332.001 0.184445 809.844 290.734 0.00009784768 0.00021746221 0.0001038834 0.0000829703 218921.170 218695.092 218865.929 5.84737 8.93166 3.10969 0.0002532017 3.74171 333.002 0.185001 808.983 290.458 0.00009743124 0.00021822910 0.0001037180 0.0000834950 218104.860 217879.853 218048.954 5.91234 8.61296 3.09970 0.0002535610 3.82011 334.001 0.185556 808.138 290.188 0.00009701283 0.00021899022 0.0001035437 0.0000840159 217306.547 217082.660 217249.998 5.97751 8.29430 3.08992 0.0002539075 3.89544 335.002 0.186112 807.306 289.924 0.00009659106 0.00021974822 0.0001033600 0.0000845345 216523.337 216300.621 216466.165 6.04310 7.97458 3.08033 0.0002542425 3.96799 336.001 0.186667 806.492 289.667 0.00009616754 0.00022050029 0.0001031676 0.0000850489 215758.027 215536.528 215700.254 6.10886 7.65503 3.07096 0.0002545646 4.03750 337.001 0.187223 805.692 289.415 0.00009574083 0.00022124904 0.0001029660 0.0000855609 215007.837 214787.604 214949.483 6.17503 7.33455 3.06178 0.0002548749 4.10422 338.000 0.187778 804.909 289.170 0.00009531258 0.00022199170 0.0001027558 0.0000860683 214275.441 214056.516 214216.529 6.24133 7.01435 3.05281 0.0002551721 4.16791 339.001 0.188334 804.140 288.930 0.00009488133 0.00022273086 0.0001025364 0.0000865728 213558.174 213340.602 213498.723 6.30801 6.69333 3.04403 0.0002554573 4.22881 340.000 0.188889 803.388 288.697 0.00009444872 0.00022346378 0.0001023086 0.0000870726 212858.587 212642.409 212798.620 6.37481 6.37271 3.03547 0.0002557293 4.28670 341.001 0.189445 802.651 288.470 0.00009401330 0.00022419302 0.0001020718 0.0000875692 212174.131 211959.389 212113.667 6.44195 6.05138 3.02709 0.0002559890 4.34179 342.002 0.190001 801.930 288.248 0.00009357593 0.00022491717 0.0001018262 0.0000880616 211506.050 211292.783 211445.110 6.50930 5.72999 3.01891 0.0002562359 4.39399 343.001 0.190556 801.226 288.033 0.00009313749 0.00022563488 0.0001015726 0.0000885488 210855.470 210643.713 210794.075 6.57672 5.40915 3.01095 0.0002564694 4.44322 344.002 0.191112 800.537 287.824 0.00009269649 0.00022634865 0.0001013101 0.0000890323 210220.013 210009.806 210158.183 6.64444 5.08778 3.00317 0.0002566904 4.48964 345.001 0.191667 799.866 287.621 0.00009225460 0.00022705586 0.0001010396 0.0000895103 209601.930 209393.305 209539.686 6.71221 4.76707 2.99560 0.0002568980 4.53312 346.001 0.192223 799.209 287.424 0.00009181031 0.00022775896 0.0001007603 0.0000899844 208998.960 208791.953 208936.322 6.78024 4.44592 2.98822 0.0002570928 4.57380 347.000 0.192778 798.570 287.234 0.00009136531 0.00022845537 0.0001004734 0.0000904527 208413.235 208207.877 208350.224 6.84829 4.12553 2.98105 0.0002572741 4.61155 348.001 0.193334 797.946 287.049 0.00009091807 0.00022914754 0.0001001777 0.0000909167 207842.610 207638.935 207779.245 6.91659 3.80481 2.97406 0.0002574425 4.64651 349.000 0.193889 797.340 286.870 0.00009047029 0.00022983289 0.0000998746 0.0000913747 207289.100 207087.136 207225.401 6.98486 3.48495 2.96729 0.0002575973 4.67856 350.001 0.194445 796.749 286.697 0.00009002043 0.00023051385 0.0000995629 0.0000918281 206750.674 206550.452 206686.659 7.05335 3.16485 2.96070 0.0002577391 4.70783 351.002 0.195001 796.175 286.530 0.00008956938 0.00023118910 0.0000992434 0.0000922761 206228.305 206029.854 206163.995 7.12191 2.84513 2.95431 0.0002578675 4.73426 352.001 0.195556 795.618 286.369 0.00008911803 0.00023185739 0.0000989167 0.0000927176 205722.854 205526.198 205658.268 7.19041 2.52641 2.94812 0.0002579823 4.75782 353.002 0.196112 795.077 286.214 0.00008866482 0.00023252106 0.0000985818 0.0000931541 205232.460 205037.629 205167.618 7.25908 2.20759 2.94212 0.0002580838 4.77861 354.001 0.196667 794.554 286.065 0.00008821148 0.00023317767 0.0000982399 0.0000935839 204758.851 204565.866 204693.772 7.32765 1.88987 2.93632 0.0002581718 4.79655 355.001 0.197223 794.046 285.922 0.00008775643 0.00023382952 0.0000978899 0.0000940084 204300.284 204109.173 204234.985 7.39636 1.57213 2.93071 0.0002582463 4.81173 356.000 0.197778 793.557 285.785 0.00008730139 0.00023447421 0.0000975332 0.0000944261 203858.370 203669.153 203792.871 7.46494 1.25557 2.92530 0.0002583073 4.82409 357.001 0.198334 793.083 285.654 0.00008684479 0.00023511400 0.0000971686 0.0000948381 203431.481 203244.183 203365.800 7.53363 0.93909 2.92007 0.0002583547 4.83368 358.000 0.198889 792.626 285.529 0.00008638834 0.00023574655 0.0000967975 0.0000952431 203021.115 202835.756 202955.272 7.60216 0.62387 2.91505 0.0002583886 4.84050 359.001 0.199445 792.186 285.410 0.00008593048 0.00023637406 0.0000964188 0.0000956422 202625.760 202442.363 202559.771 7.67076 0.30882 2.91021 0.0002584090 4.84456 360.002 0.200001 791.763 285.297 0.00008547209 0.00023699535 0.0000960331 0.0000960346 202246.132 202064.717 202180.016 7.73930 -0.00545 2.90557 0.0002584157 4.84586 Engine speed (Hz) = 5.0000000000 Output power (W) = 24.2293134839 Heat into heater (W) = 38.6965044818 Heat to regenerator (W) = -0.0272526691 Heat removal from cooler (W) = 14.5278454891 Approximate Pumping loss (W) = -0.1366244143 Thermal efficiency (%) = 62.6137006645 The average engine pressure (Pa) = 271642.4672453285 The exp space work per cycle (J) = 7.7398903710 The comp space work per cycle (J) = -2.8940276742 The net work per cycle (J) = 4.8458626968 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5789438492 The expansion work for Vmin-to-Vmax (J) = 26.4248065460 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 791.902 285.364 0.00008549201 0.00023695134 0.0000960336 0.0000960342 202328.045 202075.929 202236.184 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000463 791.496 285.257 0.00008503332 0.00023756627 0.0000956414 0.0000964195 201963.963 201714.622 201871.950 0.06838 -0.31337 -0.00446 0.0002584089 -0.00146 2.001 0.000926 791.107 285.155 0.00008457425 0.00023817487 0.0000952426 0.0000967980 201615.511 201368.972 201523.370 0.13665 -0.62588 -0.00872 0.0002583886 -0.00566 3.001 0.001389 790.734 285.059 0.00008411485 0.00023877709 0.0000948372 0.0000971694 201282.657 201038.944 201190.413 0.20482 -0.93750 -0.01279 0.0002583546 -0.01258 4.001 0.001852 790.379 284.970 0.00008365520 0.00023937287 0.0000944254 0.0000975338 200965.369 200724.505 200873.046 0.27286 -1.24818 -0.01668 0.0002583072 -0.02221 5.001 0.002315 790.040 284.886 0.00008319537 0.00023996217 0.0000940073 0.0000978908 200663.616 200425.624 200571.237 0.34075 -1.55788 -0.02037 0.0002582461 -0.03455 6.001 0.002778 789.719 284.808 0.00008273542 0.00024054492 0.0000935830 0.0000982405 200377.366 200142.268 200284.957 0.40848 -1.86656 -0.02387 0.0002581716 -0.04957 7.001 0.003241 789.415 284.735 0.00008227541 0.00024112108 0.0000931527 0.0000985828 200106.591 199874.408 200014.175 0.47603 -2.17419 -0.02718 0.0002580836 -0.06727 8.001 0.003704 789.127 284.669 0.00008181542 0.00024169059 0.0000927165 0.0000989175 199851.262 199622.013 199758.862 0.54340 -2.48072 -0.03031 0.0002579821 -0.08764 9.001 0.004167 788.857 284.608 0.00008135551 0.00024225340 0.0000922746 0.0000992445 199611.353 199385.057 199518.992 0.61055 -2.78612 -0.03324 0.0002578671 -0.11067 10.002 0.004630 788.604 284.553 0.00008089573 0.00024280945 0.0000918269 0.0000995638 199386.836 199163.511 199294.538 0.67748 -3.09034 -0.03599 0.0002577387 -0.13634 11.002 0.005093 788.368 284.504 0.00008043617 0.00024335870 0.0000913738 0.0000998752 199177.686 198957.350 199085.475 0.74416 -3.39336 -0.03854 0.0002575970 -0.16465 12.002 0.005556 788.150 284.461 0.00007997687 0.00024390108 0.0000909153 0.0001001786 198983.880 198766.549 198891.778 0.81059 -3.69512 -0.04091 0.0002574420 -0.19558 13.002 0.006019 787.948 284.424 0.00007951791 0.00024443655 0.0000904516 0.0001004740 198805.395 198591.085 198713.425 0.87675 -3.99560 -0.04309 0.0002572737 -0.22911 14.002 0.006482 787.764 284.392 0.00007905934 0.00024496505 0.0000899828 0.0001007613 198642.210 198430.934 198550.394 0.94261 -4.29474 -0.04509 0.0002570921 -0.26524 15.002 0.006945 787.596 284.366 0.00007860123 0.00024548653 0.0000895091 0.0001010403 198494.304 198286.077 198402.664 1.00817 -4.59253 -0.04690 0.0002568974 -0.30396 16.002 0.007408 787.446 284.346 0.00007814365 0.00024600093 0.0000890305 0.0001013111 198361.658 198156.493 198270.217 1.07341 -4.88891 -0.04852 0.0002566896 -0.34525 17.002 0.007871 787.313 284.331 0.00007768665 0.00024650820 0.0000885473 0.0001015734 198244.254 198042.163 198153.035 1.13831 -5.18386 -0.04995 0.0002564687 -0.38909 18.002 0.008334 787.198 284.322 0.00007723029 0.00024700828 0.0000880596 0.0001018273 198142.077 197943.071 198051.101 1.20285 -5.47732 -0.05120 0.0002562349 -0.43548 19.000 0.008796 787.100 284.319 0.00007677563 0.00024750006 0.0000875686 0.0001020720 198055.283 197859.366 197964.571 1.26689 -5.76865 -0.05226 0.0002559887 -0.48430 20.000 0.009259 787.018 284.322 0.00007632075 0.00024798562 0.0000870724 0.0001023087 197983.481 197790.671 197893.057 1.33068 -6.05905 -0.05313 0.0002557291 -0.53574 21.000 0.009722 786.954 284.330 0.00007586670 0.00024846382 0.0000865720 0.0001025367 197926.866 197737.170 197836.750 1.39406 -6.34786 -0.05382 0.0002554568 -0.58968 22.000 0.010185 786.907 284.344 0.00007541354 0.00024893461 0.0000860678 0.0001027560 197885.425 197698.853 197795.639 1.45703 -6.63504 -0.05432 0.0002551718 -0.64611 23.000 0.010648 786.877 284.364 0.00007496134 0.00024939793 0.0000855599 0.0001029664 197859.149 197675.707 197769.715 1.51956 -6.92056 -0.05464 0.0002548743 -0.70503 24.000 0.011111 786.865 284.389 0.00007451016 0.00024985373 0.0000850483 0.0001031679 197848.031 197667.726 197758.970 1.58163 -7.20437 -0.05477 0.0002545642 -0.76640 25.001 0.011574 786.869 284.420 0.00007406005 0.00025030193 0.0000845333 0.0001033604 197852.063 197674.901 197763.396 1.64324 -7.48644 -0.05472 0.0002542418 -0.83023 26.001 0.012037 786.891 284.456 0.00007361108 0.00025074250 0.0000840150 0.0001035440 197871.241 197697.226 197782.989 1.70437 -7.76672 -0.05448 0.0002539070 -0.89649 27.001 0.012500 786.930 284.498 0.00007316332 0.00025117535 0.0000834936 0.0001037184 197905.561 197734.698 197817.745 1.76500 -8.04519 -0.05405 0.0002535601 -0.96517 28.001 0.012963 786.986 284.546 0.00007271682 0.00025160044 0.0000829692 0.0001038837 197955.020 197787.311 197867.661 1.82511 -8.32180 -0.05344 0.0002532010 -1.03626 29.001 0.013426 787.059 284.599 0.00007227164 0.00025201770 0.0000824421 0.0001040399 198019.617 197855.066 197932.737 1.88468 -8.59651 -0.05264 0.0002528300 -1.10974 30.001 0.013889 787.149 284.658 0.00007182785 0.00025242707 0.0000819123 0.0001041868 198099.354 197937.961 198012.972 1.94371 -8.86928 -0.05166 0.0002524471 -1.18560 31.001 0.014352 787.257 284.723 0.00007138552 0.00025282849 0.0000813799 0.0001043245 198194.232 198035.997 198108.370 2.00218 -9.14008 -0.05050 0.0002520524 -1.26381 32.001 0.014815 787.381 284.793 0.00007094470 0.00025322188 0.0000808453 0.0001044528 198304.254 198149.177 198218.932 2.06006 -9.40886 -0.04914 0.0002516461 -1.34437 33.001 0.015278 787.523 284.869 0.00007050545 0.00025360719 0.0000803085 0.0001045718 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0.00009868705 0.00021588477 0.0001041865 0.0000819135 220661.283 220344.599 220586.525 5.71592 9.56823 3.13488 0.0002524480 3.56913 331.001 0.153241 810.809 291.021 0.00009827667 0.00021665969 0.0001040395 0.0000824433 219812.446 219497.092 219736.705 5.78013 9.25102 3.12449 0.0002528308 3.65329 332.001 0.153704 809.932 290.739 0.00009786335 0.00021743043 0.0001038834 0.0000829705 218980.172 218666.222 218903.475 5.84469 8.93314 3.11430 0.0002532018 3.73453 333.001 0.154167 809.071 290.463 0.00009744721 0.00021819687 0.0001037180 0.0000834948 218164.448 217851.977 218086.826 5.90957 8.61465 3.10431 0.0002535609 3.81285 334.002 0.154630 808.226 290.193 0.00009702835 0.00021895894 0.0001035435 0.0000840162 217365.260 217054.337 217286.741 5.97478 8.29563 3.09452 0.0002539078 3.88824 335.002 0.155093 807.395 289.929 0.00009660687 0.00021971652 0.0001033600 0.0000845345 216582.589 216273.285 216503.204 6.04029 7.97612 3.08493 0.0002542425 3.96071 336.002 0.155556 806.580 289.672 0.00009618287 0.00022046953 0.0001031674 0.0000850495 215816.416 215508.798 215736.194 6.10610 7.65619 3.07555 0.0002545649 4.03027 337.002 0.156019 805.780 289.420 0.00009575645 0.00022121789 0.0001029659 0.0000855610 215066.720 214760.851 214985.690 6.17219 7.33590 3.06637 0.0002548750 4.09691 338.002 0.156482 804.997 289.175 0.00009532770 0.00022196150 0.0001027555 0.0000860690 214333.476 214029.419 214251.668 6.23854 7.01531 3.05739 0.0002551725 4.16064 339.002 0.156945 804.228 288.936 0.00009489673 0.00022270029 0.0001025362 0.0000865732 213616.658 213314.473 213534.101 6.30514 6.69449 3.04861 0.0002554575 4.22147 340.002 0.157408 803.476 288.702 0.00009446361 0.00022343416 0.0001023082 0.0000870735 212916.239 212615.985 212832.961 6.37198 6.37347 3.04003 0.0002557297 4.27939 341.002 0.157871 802.739 288.475 0.00009402846 0.00022416304 0.0001020715 0.0000875698 212232.189 211933.922 212148.220 6.43904 6.05233 3.03166 0.0002559893 4.33442 342.002 0.158334 802.019 288.254 0.00009359134 0.00022488686 0.0001018261 0.0000880618 211564.478 211268.253 211479.847 6.50632 5.73111 3.02348 0.0002562360 4.38656 343.000 0.158796 801.316 288.040 0.00009315332 0.00022560398 0.0001015728 0.0000885484 210914.464 210620.328 210829.200 6.57364 5.41056 3.01552 0.0002564693 4.43570 344.000 0.159259 800.627 287.831 0.00009271257 0.00022631745 0.0001013105 0.0000890316 210279.299 209987.308 210193.430 6.64129 5.08936 3.00775 0.0002566901 4.48207 345.000 0.159722 799.955 287.628 0.00009227013 0.00022702563 0.0001010397 0.0000895102 209660.375 209370.578 209573.929 6.70910 4.76823 3.00017 0.0002568979 4.52557 346.000 0.160185 799.299 287.431 0.00009182609 0.00022772844 0.0001007607 0.0000899839 209057.657 208770.101 208970.662 6.77707 4.44724 2.99279 0.0002570926 4.56620 347.000 0.160648 798.659 287.240 0.00009138053 0.00022842583 0.0001004734 0.0000904527 208471.110 208185.840 208383.593 6.84517 4.12644 2.98561 0.0002572741 4.60396 348.000 0.161111 798.035 287.056 0.00009093353 0.00022911773 0.0001001780 0.0000909164 207900.697 207617.758 207812.687 6.91339 3.80587 2.97862 0.0002574424 4.63887 349.001 0.161574 797.428 286.877 0.00009048518 0.00022980406 0.0000998745 0.0000913749 207346.382 207065.816 207257.906 6.98172 3.48559 2.97183 0.0002575974 4.67093 350.001 0.162037 796.838 286.704 0.00009003555 0.00023048477 0.0000995631 0.0000918280 206808.129 206529.977 206719.215 7.05014 3.16563 2.96524 0.0002577391 4.70016 351.001 0.162500 796.264 286.537 0.00008958472 0.00023115978 0.0000992438 0.0000922756 206285.900 206010.201 206196.574 7.11863 2.84606 2.95885 0.0002578674 4.72654 352.001 0.162963 795.706 286.377 0.00008913278 0.00023182905 0.0000989167 0.0000927176 205779.659 205506.451 205689.948 7.18719 2.52690 2.95265 0.0002579823 4.75010 353.001 0.163426 795.166 286.222 0.00008867979 0.00023249250 0.0000985820 0.0000931538 205289.368 205018.688 205199.299 7.25578 2.20822 2.94665 0.0002580838 4.77085 354.001 0.163889 794.641 286.073 0.00008822584 0.00023315008 0.0000982397 0.0000935840 204814.990 204546.873 204724.589 7.32441 1.89006 2.94084 0.0002581718 4.78879 355.001 0.164352 794.134 285.930 0.00008777101 0.00023380173 0.0000978900 0.0000940083 204356.488 204090.968 204265.781 7.39305 1.57245 2.93523 0.0002582463 4.80392 356.001 0.164815 793.643 285.793 0.00008731535 0.00023444739 0.0000975329 0.0000944264 203913.825 203650.935 203822.839 7.46169 1.25545 2.92981 0.0002583073 4.81627 357.001 0.165278 793.169 285.663 0.00008685895 0.00023508700 0.0000971686 0.0000948381 203486.965 203226.736 203395.726 7.53031 0.93909 2.92459 0.0002583547 4.82584 358.001 0.165741 792.712 285.538 0.00008640189 0.00023572050 0.0000967971 0.0000952435 203075.873 202818.335 202984.406 7.59890 0.62343 2.91956 0.0002583886 4.83263 359.001 0.166204 792.272 285.419 0.00008594422 0.00023634785 0.0000964187 0.0000956423 202680.512 202425.694 202588.842 7.66744 0.30850 2.91472 0.0002584090 4.83666 360.001 0.166667 791.849 285.305 0.00008548603 0.00023696898 0.0000960333 0.0000960345 202300.848 202048.778 202209.000 7.73592 -0.00566 2.91007 0.0002584157 4.83793 Engine speed (Hz) = 6.0000000000 Output power (W) = 29.0276055708 Heat into heater (W) = 46.4154936114 Heat to regenerator (W) = -0.0339729853 Heat removal from cooler (W) = 17.4604251260 Approximate Pumping loss (W) = -0.2276204218 Thermal efficiency (%) = 62.5386122441 The average engine pressure (Pa) = 271653.0015705547 The exp space work per cycle (J) = 7.7363953361 The comp space work per cycle (J) = -2.8984610743 The net work per cycle (J) = 4.8379342618 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5836233092 The expansion work for Vmin-to-Vmax (J) = 26.4215575710 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 792.003 285.374 0.00008550796 0.00023692110 0.0000960338 0.0000960339 202390.794 202057.772 202269.483 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.000 0.000397 791.596 285.267 0.00008504895 0.00023753659 0.0000956415 0.0000964194 202026.210 201696.849 201904.695 0.06838 -0.31361 -0.00446 0.0002584090 -0.00149 2.001 0.000794 791.206 285.165 0.00008458955 0.00023814575 0.0000952426 0.0000967980 201677.257 201351.592 201555.572 0.13667 -0.62637 -0.00873 0.0002583886 -0.00572 3.001 0.001191 790.833 285.070 0.00008412982 0.00023874854 0.0000948370 0.0000971696 201343.904 201021.967 201222.081 0.20485 -0.93823 -0.01281 0.0002583546 -0.01268 4.002 0.001588 790.477 284.980 0.00008366983 0.00023934488 0.0000944251 0.0000975340 201026.119 200707.942 200904.190 0.27289 -1.24916 -0.01670 0.0002583071 -0.02234 5.002 0.001985 790.138 284.896 0.00008320966 0.00023993474 0.0000940069 0.0000978912 200723.871 200409.483 200601.867 0.34080 -1.55911 -0.02040 0.0002582461 -0.03471 6.000 0.002381 789.817 284.819 0.00008275053 0.00024051659 0.0000935835 0.0000982402 200437.831 200127.253 200315.785 0.40837 -1.86727 -0.02390 0.0002581717 -0.04973 7.001 0.002778 789.512 284.747 0.00008229018 0.00024109332 0.0000931531 0.0000985826 200166.527 199859.796 200044.470 0.47594 -2.17515 -0.02722 0.0002580836 -0.06747 8.001 0.003175 789.224 284.680 0.00008182984 0.00024166341 0.0000927167 0.0000989174 199910.672 199607.814 199788.636 0.54331 -2.48193 -0.03035 0.0002579821 -0.08788 9.001 0.003572 788.954 284.620 0.00008136957 0.00024222679 0.0000922746 0.0000992445 199670.239 199371.279 199548.254 0.61048 -2.78759 -0.03329 0.0002578671 -0.11094 10.002 0.003969 788.700 284.565 0.00008090944 0.00024278341 0.0000918268 0.0000995639 199445.202 199150.164 199323.299 0.67742 -3.09207 -0.03604 0.0002577387 -0.13666 11.002 0.004366 788.464 284.516 0.00008044952 0.00024333322 0.0000913735 0.0000998754 199235.536 198944.442 199113.745 0.74412 -3.39534 -0.03860 0.0002575969 -0.16500 12.000 0.004762 788.245 284.473 0.00007999102 0.00024387481 0.0000909160 0.0001001782 199041.686 198754.550 198920.038 0.81040 -3.69660 -0.04097 0.0002574422 -0.19589 13.001 0.005159 788.043 284.436 0.00007953170 0.00024441086 0.0000904521 0.0001004737 198862.653 198579.504 198741.178 0.87657 -3.99734 -0.04316 0.0002572739 -0.22946 14.001 0.005556 787.858 284.404 0.00007907277 0.00024493993 0.0000899831 0.0001007611 198698.923 198419.781 198577.650 0.94245 -4.29675 -0.04516 0.0002570923 -0.26563 15.002 0.005953 787.690 284.379 0.00007861430 0.00024546198 0.0000895092 0.0001010402 198550.476 198275.360 198429.436 1.00803 -4.59480 -0.04698 0.0002568975 -0.30439 16.002 0.006350 787.539 284.359 0.00007815635 0.00024597695 0.0000890305 0.0001013111 198417.293 198146.220 198296.515 1.07328 -4.89145 -0.04860 0.0002566896 -0.34572 17.002 0.006747 787.406 284.344 0.00007769898 0.00024648478 0.0000885471 0.0001015735 198299.357 198032.344 198178.870 1.13820 -5.18665 -0.05004 0.0002564686 -0.38961 18.000 0.007143 787.290 284.336 0.00007724340 0.00024698418 0.0000880605 0.0001018268 198196.891 197933.942 198076.724 1.20260 -5.47964 -0.05129 0.0002562353 -0.43593 19.001 0.007540 787.191 284.333 0.00007678738 0.00024747759 0.0000875683 0.0001020722 198109.363 197850.504 197989.546 1.26679 -5.77186 -0.05236 0.0002559885 -0.48490 20.001 0.007937 787.109 284.336 0.00007633213 0.00024796370 0.0000870718 0.0001023090 198037.038 197782.281 197917.600 1.33060 -6.06253 -0.05324 0.0002557288 -0.53638 21.002 0.008334 787.044 284.344 0.00007587772 0.00024844246 0.0000865713 0.0001025371 197979.904 197729.260 197860.872 1.39400 -6.35160 -0.05393 0.0002554564 -0.59037 22.002 0.008731 786.996 284.358 0.00007542419 0.00024891379 0.0000860669 0.0001027564 197937.949 197691.431 197819.353 1.45698 -6.63904 -0.05444 0.0002551713 -0.64686 23.000 0.009127 786.966 284.378 0.00007497276 0.00024937649 0.0000855600 0.0001029663 197911.213 197668.820 197793.080 1.51937 -6.92410 -0.05476 0.0002548744 -0.70568 24.000 0.009524 786.953 284.403 0.00007452120 0.00024983284 0.0000850483 0.0001031679 197899.553 197661.304 197781.912 1.58147 -7.20818 -0.05490 0.0002545642 -0.76710 25.001 0.009921 786.957 284.434 0.00007407072 0.00025028160 0.0000845331 0.0001033605 197903.050 197668.953 197785.929 1.64310 -7.49051 -0.05485 0.0002542416 -0.83098 26.001 0.010318 786.978 284.471 0.00007362138 0.00025072270 0.0000840147 0.0001035441 197921.698 197691.759 197805.126 1.70425 -7.77106 -0.05461 0.0002539068 -0.89729 27.002 0.010715 787.016 284.514 0.00007317324 0.00025115610 0.0000834931 0.0001037186 197955.494 197729.719 197839.498 1.76489 -8.04978 -0.05419 0.0002535597 -0.96603 28.002 0.011112 787.072 284.562 0.00007272637 0.00025158172 0.0000829685 0.0001038840 198004.436 197782.829 197889.044 1.82502 -8.32665 -0.05359 0.0002532005 -1.03717 29.000 0.011508 787.144 284.615 0.00007228194 0.00025199846 0.0000824425 0.0001040398 198068.343 197850.897 197953.580 1.88447 -8.60093 -0.05280 0.0002528302 -1.11052 30.001 0.011905 787.234 284.674 0.00007183778 0.00025240836 0.0000819124 0.0001041868 198147.537 197934.265 198033.434 1.94352 -8.87396 -0.05182 0.0002524472 -1.18642 31.001 0.012302 787.341 284.739 0.00007139508 0.00025281031 0.0000813799 0.0001043245 198241.880 198032.782 198128.463 2.00201 -9.14502 -0.05066 0.0002520524 -1.26469 32.001 0.012699 787.464 284.809 0.00007095388 0.00025320423 0.0000808451 0.0001044528 198351.375 198146.449 198238.671 2.05991 -9.41406 -0.04931 0.0002516460 -1.34531 33.002 0.013096 787.605 284.885 0.00007051427 0.00025359005 0.0000803081 0.0001045719 198476.026 198275.272 198364.063 2.11722 -9.68104 -0.04778 0.0002512280 -1.42825 34.002 0.013493 787.764 284.966 0.00007007630 0.00025396772 0.0000797692 0.0001046815 198615.840 198419.254 198504.645 2.17392 -9.94592 -0.04606 0.0002507987 -1.51351 35.000 0.013889 787.938 285.053 0.00006964113 0.00025433624 0.0000792297 0.0001047815 198770.415 198577.982 198660.013 2.22985 -10.20800 -0.04415 0.0002503592 -1.60085 36.001 0.014286 788.130 285.145 0.00006920663 0.00025469741 0.0000786873 0.0001048722 198940.541 198752.265 198830.961 2.28528 -10.46857 -0.04206 0.0002499075 -1.69068 37.001 0.014683 788.340 285.243 0.00006877397 0.00025505022 0.0000781433 0.0001049535 199125.858 198941.731 199017.126 2.34004 -10.72692 -0.03979 0.0002494448 -1.78278 38.002 0.015080 788.566 285.347 0.00006834321 0.00025539459 0.0000775980 0.0001050253 199326.377 199146.390 199218.519 2.39414 -10.98300 -0.03732 0.0002489713 -1.87713 39.002 0.015477 788.809 285.456 0.00006791441 0.00025573046 0.0000770515 0.0001050876 199542.111 199366.252 199435.155 2.44754 -11.23678 -0.03467 0.0002484871 -1.97370 40.002 0.015874 789.069 285.570 0.00006748765 0.00025605775 0.0000765040 0.0001051403 199773.075 199601.332 199667.046 2.50023 -11.48821 -0.03184 0.0002479923 -2.07249 41.000 0.016270 789.345 285.690 0.00006706405 0.00025637560 0.0000759571 0.0001051833 200018.644 199850.993 199913.568 2.55207 -11.73663 -0.02882 0.0002474884 -2.17322 42.001 0.016667 789.639 285.815 0.00006664154 0.00025668554 0.0000754081 0.0001052169 200280.076 200116.510 200175.980 2.60331 -11.98324 -0.02561 0.0002469730 -2.27638 43.001 0.017064 789.950 285.946 0.00006622128 0.00025698668 0.0000748586 0.0001052408 200556.789 200397.290 200453.699 2.65379 -12.22738 -0.02221 0.0002464474 -2.38170 44.002 0.017461 790.278 286.082 0.00006580331 0.00025727895 0.0000743088 0.0001052552 200848.801 200693.348 200746.743 2.70351 -12.46899 -0.01863 0.0002459120 -2.48917 45.002 0.017858 790.622 286.224 0.00006538771 0.00025756225 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0.00009360918 0.00022485173 0.0001018262 0.0000880616 211631.878 211240.745 211520.155 6.50284 5.73279 3.02872 0.0002562359 4.37801 343.002 0.136112 801.417 288.046 0.00009316998 0.00022557088 0.0001015722 0.0000885495 210980.085 210591.708 210867.522 6.57030 5.41136 3.02073 0.0002564697 4.42725 344.000 0.136508 800.730 287.838 0.00009273011 0.00022628303 0.0001013105 0.0000890316 210346.145 209960.584 210232.781 6.63778 5.09078 3.01297 0.0002566901 4.47349 345.001 0.136905 800.057 287.635 0.00009228744 0.00022699169 0.0001010396 0.0000895103 209726.821 209344.150 209612.693 6.70559 4.76947 3.00538 0.0002568980 4.51697 346.001 0.137302 799.401 287.439 0.00009184315 0.00022769501 0.0001007605 0.0000899842 209123.702 208743.982 209008.846 6.77355 4.44828 2.99800 0.0002570927 4.55758 347.001 0.137699 798.761 287.248 0.00009139734 0.00022839289 0.0001004731 0.0000904532 208536.752 208160.045 208421.205 6.84165 4.12728 2.99081 0.0002572743 4.59533 348.002 0.138096 798.137 287.063 0.00009095008 0.00022908529 0.0001001775 0.0000909170 207965.936 207592.299 207849.734 6.90987 3.80651 2.98382 0.0002574426 4.63022 349.002 0.138493 797.530 286.885 0.00009050146 0.00022977212 0.0000998739 0.0000913757 207411.217 207040.706 207294.397 6.97820 3.48602 2.97702 0.0002575976 4.66226 350.000 0.138889 796.940 286.712 0.00009005270 0.00023045163 0.0000995632 0.0000918278 206873.895 206506.557 206756.495 7.04644 3.16666 2.97044 0.0002577390 4.69138 351.001 0.139286 796.366 286.546 0.00008960160 0.00023112717 0.0000992438 0.0000922756 206351.220 205987.115 206233.274 7.11494 2.84687 2.96404 0.0002578674 4.71775 352.001 0.139683 795.808 286.385 0.00008914937 0.00023179696 0.0000989166 0.0000927177 205844.532 205483.711 205726.075 7.18349 2.52751 2.95784 0.0002579823 4.74129 353.002 0.140080 795.267 286.231 0.00008869610 0.00023246094 0.0000985818 0.0000931541 205353.794 204996.305 205234.862 7.25209 2.20860 2.95183 0.0002580838 4.76201 354.002 0.140477 794.742 286.082 0.00008824186 0.00023311905 0.0000982394 0.0000935845 204878.970 204524.860 204759.597 7.32072 1.89022 2.94602 0.0002581719 4.77992 355.002 0.140874 794.235 285.939 0.00008778672 0.00023377123 0.0000978895 0.0000940089 204420.021 204069.336 204300.244 7.38937 1.57238 2.94040 0.0002582464 4.79503 356.000 0.141270 793.745 285.803 0.00008733191 0.00023441580 0.0000975332 0.0000944261 203978.009 203630.782 203857.861 7.45784 1.25595 2.93499 0.0002583073 4.80732 357.001 0.141667 793.270 285.672 0.00008687521 0.00023505596 0.0000971687 0.0000948380 203550.665 203206.947 203430.180 7.52647 0.93937 2.92975 0.0002583547 4.81686 358.001 0.142064 792.813 285.547 0.00008641783 0.00023569002 0.0000967971 0.0000952435 203139.088 202798.920 203018.300 7.59506 0.62347 2.92471 0.0002583886 4.82362 359.002 0.142461 792.372 285.428 0.00008595985 0.00023631792 0.0000964185 0.0000956424 202743.245 202406.664 202622.187 7.66361 0.30830 2.91987 0.0002584090 4.82762 360.002 0.142858 791.949 285.315 0.00008550134 0.00023693960 0.0000960330 0.0000960347 202363.099 202030.143 202241.805 7.73209 -0.00610 2.91522 0.0002584157 4.82887 Engine speed (Hz) = 7.0000000000 Output power (W) = 33.8020624679 Heat into heater (W) = 54.1246290197 Heat to regenerator (W) = -0.0426986282 Heat removal from cooler (W) = 20.4065108873 Approximate Pumping loss (W) = -0.3504566075 Thermal efficiency (%) = 62.4522755723 The average engine pressure (Pa) = 271665.4558630202 The exp space work per cycle (J) = 7.7323525335 The comp space work per cycle (J) = -2.9034864667 The net work per cycle (J) = 4.8288660668 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5889799013 The expansion work for Vmin-to-Vmax (J) = 26.4178459682 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 792.115 285.385 0.00008552544 0.00023688770 0.0000960338 0.0000960339 202460.979 202037.075 202306.601 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000348 791.707 285.278 0.00008506542 0.00023750467 0.0000956408 0.0000964201 202095.345 201676.102 201940.706 0.06849 -0.31432 -0.00448 0.0002584089 -0.00153 2.002 0.000695 791.317 285.177 0.00008460633 0.00023811355 0.0000952423 0.0000967983 201746.373 201331.820 201591.514 0.13668 -0.62689 -0.00875 0.0002583886 -0.00580 3.001 0.001042 790.944 285.081 0.00008414691 0.00023871607 0.0000948372 0.0000971694 201412.956 201003.135 201257.919 0.20477 -0.93856 -0.01283 0.0002583546 -0.01278 4.000 0.001389 790.588 284.992 0.00008368724 0.00023931216 0.0000944257 0.0000975335 201095.063 200690.015 200939.888 0.27273 -1.24930 -0.01672 0.0002583072 -0.02246 5.003 0.001737 790.248 284.908 0.00008322604 0.00023990348 0.0000940067 0.0000978913 200791.813 200391.591 200636.542 0.34074 -1.55997 -0.02043 0.0002582460 -0.03489 6.002 0.002084 789.926 284.831 0.00008276605 0.00024048657 0.0000935827 0.0000982408 200504.921 200109.547 200349.593 0.40839 -1.86873 -0.02394 0.0002581715 -0.04997 7.001 0.002431 789.622 284.759 0.00008230599 0.00024106307 0.0000931527 0.0000985828 200233.462 199842.973 200078.119 0.47587 -2.17643 -0.02726 0.0002580836 -0.06772 8.001 0.002778 789.334 284.693 0.00008184594 0.00024163295 0.0000927169 0.0000989173 199977.410 199591.838 199822.090 0.54316 -2.48305 -0.03039 0.0002579821 -0.08814 9.000 0.003125 789.063 284.633 0.00008138597 0.00024219613 0.0000922752 0.0000992441 199736.737 199356.116 199581.480 0.61024 -2.78854 -0.03334 0.0002578673 -0.11121 10.002 0.003473 788.808 284.578 0.00008092480 0.00024275418 0.0000918266 0.0000995640 199510.790 199135.165 199355.636 0.67729 -3.09373 -0.03610 0.0002577386 -0.13700 11.002 0.003820 788.572 284.530 0.00008046516 0.00024330381 0.0000913738 0.0000998752 199300.843 198930.229 199145.831 0.74391 -3.39684 -0.03867 0.0002575970 -0.16535 12.001 0.004167 788.352 284.487 0.00008000579 0.00024384660 0.0000909157 0.0001001784 199106.202 198740.627 198951.370 0.81027 -3.69871 -0.04104 0.0002574421 -0.19632 13.000 0.004514 788.149 284.450 0.00007954674 0.00024438249 0.0000904523 0.0001004736 198926.844 198566.334 198772.230 0.87636 -3.99929 -0.04324 0.0002572739 -0.22989 14.003 0.004862 787.964 284.418 0.00007908677 0.00024491294 0.0000899825 0.0001007615 198762.297 198406.892 198607.940 0.94235 -4.29942 -0.04525 0.0002570920 -0.26616 15.002 0.005209 787.795 284.393 0.00007862857 0.00024543485 0.0000895091 0.0001010403 198613.487 198263.197 198459.424 1.00785 -4.59731 -0.04706 0.0002568974 -0.30491 16.001 0.005556 787.644 284.373 0.00007817088 0.00024594969 0.0000890309 0.0001013109 198479.900 198134.747 198326.170 1.07303 -4.89382 -0.04869 0.0002566897 -0.34623 17.001 0.005903 787.510 284.359 0.00007771378 0.00024645742 0.0000885480 0.0001015730 198361.520 198021.525 198208.159 1.13787 -5.18888 -0.05014 0.0002564691 -0.39010 18.000 0.006250 787.394 284.351 0.00007725732 0.00024695797 0.0000880607 0.0001018267 198258.331 197923.514 198105.376 1.20235 -5.48247 -0.05139 0.0002562354 -0.43651 19.002 0.006598 787.294 284.348 0.00007680025 0.00024745270 0.0000875675 0.0001020726 198170.085 197840.479 198017.575 1.26665 -5.77539 -0.05247 0.0002559881 -0.48560 20.002 0.006945 787.211 284.351 0.00007634526 0.00024793872 0.0000870716 0.0001023091 198097.278 197772.885 197945.248 1.33039 -6.06592 -0.05335 0.0002557287 -0.53706 21.001 0.007292 787.146 284.360 0.00007589110 0.00024841739 0.0000865717 0.0001025369 198039.622 197720.458 197888.108 1.39371 -6.35486 -0.05405 0.0002554566 -0.59103 22.000 0.007639 787.098 284.374 0.00007543782 0.00024888866 0.0000860678 0.0001027560 197997.106 197683.186 197846.145 1.45663 -6.64218 -0.05457 0.0002551718 -0.64748 23.003 0.007987 787.067 284.394 0.00007498420 0.00024935380 0.0000855588 0.0001029668 197969.665 197661.016 197819.295 1.51928 -6.92865 -0.05489 0.0002548736 -0.70658 24.002 0.008334 787.053 284.420 0.00007453290 0.00024981008 0.0000850476 0.0001031682 197957.448 197654.067 197807.703 1.58131 -7.21260 -0.05504 0.0002545638 -0.76798 25.001 0.008681 787.056 284.451 0.00007408267 0.00025025878 0.0000845329 0.0001033606 197960.349 197662.246 197811.266 1.64287 -7.49480 -0.05499 0.0002542415 -0.83182 26.001 0.009028 787.076 284.488 0.00007363358 0.00025069985 0.0000840150 0.0001035440 197978.363 197685.547 197829.976 1.70395 -7.77523 -0.05476 0.0002539070 -0.89809 27.000 0.009375 787.114 284.530 0.00007318568 0.00025113322 0.0000834940 0.0001037183 198011.488 197723.965 197863.832 1.76453 -8.05384 -0.05435 0.0002535603 -0.96678 28.002 0.009723 787.169 284.579 0.00007273777 0.00025156004 0.0000829685 0.0001038840 198059.881 197777.673 197912.995 1.82476 -8.33139 -0.05375 0.0002532005 -1.03808 29.002 0.010070 787.241 284.632 0.00007229246 0.00025197781 0.0000824417 0.0001040400 198123.264 197846.359 197977.181 1.88430 -8.60624 -0.05296 0.0002528297 -1.11156 30.001 0.010417 787.329 284.692 0.00007184855 0.00025238770 0.0000819123 0.0001041868 198201.755 197930.158 198056.510 1.94328 -8.87916 -0.05199 0.0002524471 -1.18741 31.000 0.010764 787.435 284.756 0.00007140608 0.00025278964 0.0000813803 0.0001043244 198295.358 198029.068 198150.985 2.00171 -9.15011 -0.05084 0.0002520527 -1.26563 32.003 0.011112 787.559 284.827 0.00007096386 0.00025318470 0.0000808445 0.0001044530 198404.410 198143.443 198260.947 2.05972 -9.41981 -0.04949 0.0002516455 -1.34641 33.002 0.011459 787.699 284.903 0.00007052448 0.00025357053 0.0000803081 0.0001045719 198528.291 198272.628 198385.770 2.11696 -9.68668 -0.04796 0.0002512280 -1.42930 34.001 0.011806 787.856 284.984 0.00007008675 0.00025394822 0.0000797698 0.0001046814 198667.299 198416.937 198525.754 2.17360 -9.95145 -0.04625 0.0002507992 -1.51449 35.001 0.012153 788.030 285.071 0.00006965072 0.00025431770 0.0000792295 0.0001047815 198821.441 198576.374 198680.907 2.22961 -10.21410 -0.04435 0.0002503591 -1.60198 36.000 0.012500 788.221 285.164 0.00006921645 0.00025467889 0.0000786876 0.0001048722 198990.728 198750.947 198851.238 2.28498 -10.47456 -0.04227 0.0002499079 -1.69174 37.002 0.012848 788.430 285.262 0.00006878278 0.00025503275 0.0000781427 0.0001049536 199175.722 198941.234 199037.314 2.33985 -10.73355 -0.03999 0.0002494443 -1.78403 38.002 0.013195 788.655 285.366 0.00006835225 0.00025537716 0.0000775980 0.0001050253 199375.374 199146.152 199238.079 2.39388 -10.98953 -0.03754 0.0002489713 -1.87831 39.001 0.013542 788.897 285.475 0.00006792368 0.00025571308 0.0000770521 0.0001050875 199590.206 199366.236 199454.057 2.44723 -11.24321 -0.03490 0.0002484876 -1.97480 40.000 0.013889 789.156 285.589 0.00006749715 0.00025604044 0.0000765052 0.0001051402 199820.233 199601.499 199685.264 2.49987 -11.49455 -0.03207 0.0002479934 -2.07351 41.003 0.014237 789.433 285.710 0.00006707149 0.00025636006 0.0000759559 0.0001051834 200066.199 199852.699 199932.448 2.55193 -11.74421 -0.02904 0.0002474873 -2.17470 42.002 0.014584 789.726 285.835 0.00006664922 0.00025667005 0.0000754075 0.0001052169 200326.709 200118.405 200194.204 2.60311 -11.99072 -0.02584 0.0002469724 -2.27778 43.001 0.014931 790.036 285.966 0.00006622918 0.00025697125 0.0000748586 0.0001052408 200602.465 200399.336 200471.241 2.65355 -12.23476 -0.02245 0.0002464474 -2.38301 44.001 0.015278 790.362 286.102 0.00006581144 0.00025726359 0.0000743094 0.0001052552 200893.487 200695.506 200763.576 2.70321 -12.47628 -0.01888 0.0002459126 -2.49038 45.000 0.015625 790.705 286.244 0.00006539607 0.00025754699 0.0000737600 0.0001052600 201199.796 201006.935 201071.231 2.75209 -12.71523 -0.01511 0.0002453680 -2.59986 46.002 0.015973 791.066 286.391 0.00006498195 0.00025782215 0.0000732090 0.0001052552 201522.362 201334.605 201395.180 2.80031 -12.95226 -0.01115 0.0002448122 -2.71177 47.002 0.016320 791.443 286.544 0.00006457154 0.00025808740 0.0000726597 0.0001052408 201859.355 201676.652 201733.584 2.84758 -13.18595 -0.00701 0.0002442485 -2.82544 48.001 0.016667 791.837 286.702 0.00006416370 0.00025834348 0.0000721108 0.0001052168 202211.703 202034.018 202087.375 2.89403 -13.41693 -0.00268 0.0002436757 -2.94117 49.000 0.017014 792.247 286.865 0.00006375852 0.00025859029 0.0000715625 0.0001051833 202579.431 202406.722 202456.579 2.93963 -13.64517 0.00183 0.0002430937 -3.05894 50.003 0.017362 792.675 287.034 0.00006335490 0.00025882843 0.0000710132 0.0001051400 202963.691 202795.930 202842.351 2.98450 -13.87126 0.00655 0.0002425012 -3.17908 51.002 0.017709 793.118 287.208 0.00006295524 0.00025905643 0.0000704663 0.0001050873 203362.303 203199.426 203242.501 3.02837 -14.09386 0.01145 0.0002419016 -3.30088 52.001 0.018056 793.578 287.387 0.00006255846 0.00025927493 0.0000699204 0.0001050251 203776.374 203618.331 203658.143 3.07136 -14.31356 0.01653 0.0002412935 -3.42465 53.001 0.018403 794.054 287.572 0.00006216462 0.00025948381 0.0000693757 0.0001049534 204205.934 204052.669 204089.305 3.11345 -14.53033 0.02181 0.0002406771 -3.55038 54.000 0.018750 794.547 287.762 0.00006177380 0.00025968301 0.0000688323 0.0001048722 204651.012 204502.466 204536.015 3.15462 -14.74410 0.02727 0.0002400525 -3.67805 55.002 0.019098 795.058 287.958 0.00006138497 0.00025987296 0.0000682888 0.0001047812 205112.988 204969.109 204999.658 3.19498 -14.95544 0.03294 0.0002394181 -3.80801 56.002 0.019445 795.584 288.158 0.00006100044 0.00026005248 0.0000677486 0.0001046811 205589.236 205449.943 205477.599 3.23429 -15.16308 0.03879 0.0002387777 -3.93948 57.001 0.019792 796.126 288.364 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0.00008826081 0.00023308277 0.0000982397 0.0000935840 204951.893 204501.203 204800.001 7.31637 1.89137 2.95183 0.0002581718 4.76993 355.000 0.123264 794.350 285.950 0.00008780602 0.00023373459 0.0000978903 0.0000940080 204493.079 204046.732 204340.668 7.38492 1.57376 2.94621 0.0002582463 4.78499 356.003 0.123612 793.858 285.813 0.00008734909 0.00023438230 0.0000975324 0.0000944270 204048.805 203606.868 203895.918 7.45367 1.25583 2.94077 0.0002583074 4.79730 357.002 0.123959 793.384 285.682 0.00008689272 0.00023502211 0.0000971683 0.0000948384 203621.588 203184.103 203468.269 7.52220 0.93945 2.93554 0.0002583548 4.80679 358.001 0.124306 792.926 285.558 0.00008643567 0.00023565584 0.0000967971 0.0000952435 203210.093 202777.111 203056.386 7.59070 0.62376 2.93050 0.0002583886 4.81351 359.001 0.124653 792.486 285.439 0.00008597802 0.00023628343 0.0000964189 0.0000956420 202814.285 202385.855 202660.232 7.65915 0.30879 2.92566 0.0002584090 4.81748 360.000 0.125000 792.062 285.327 0.00008551983 0.00023690482 0.0000960338 0.0000960339 202434.130 202010.300 202279.774 7.72754 -0.00541 2.92100 0.0002584157 4.81869 Engine speed (Hz) = 8.0000000000 Output power (W) = 38.5495181778 Heat into heater (W) = 61.8202882268 Heat to regenerator (W) = -0.0432477661 Heat removal from cooler (W) = 23.3680161390 Approximate Pumping loss (W) = -0.5093020445 Thermal efficiency (%) = 62.3573899176 The average engine pressure (Pa) = 271677.3281767257 The exp space work per cycle (J) = 7.7281117468 The comp space work per cycle (J) = -2.9094219746 The net work per cycle (J) = 4.8186897722 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.5949915398 The expansion work for Vmin-to-Vmax (J) = 26.4136813120 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 792.240 285.397 0.00008554441 0.00023685121 0.0000960336 0.0000960342 202538.417 202013.866 202347.437 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000309 791.832 285.290 0.00008508470 0.00023746793 0.0000956410 0.0000964199 202172.734 201653.930 201981.426 0.06839 -0.31414 -0.00448 0.0002584089 -0.00157 2.003 0.000618 791.441 285.189 0.00008462458 0.00023807832 0.0000952417 0.0000967988 201822.682 201309.681 201631.099 0.13669 -0.62743 -0.00876 0.0002583885 -0.00588 3.001 0.000926 791.068 285.094 0.00008416562 0.00023868039 0.0000948372 0.0000971694 201489.287 200982.123 201297.480 0.20466 -0.93882 -0.01284 0.0002583546 -0.01289 4.002 0.001235 790.711 285.005 0.00008370490 0.00023927799 0.0000944249 0.0000975341 201170.352 200669.094 200978.373 0.27272 -1.25029 -0.01675 0.0002583071 -0.02264 5.000 0.001543 790.372 284.922 0.00008324548 0.00023986720 0.0000940078 0.0000978904 200867.912 200372.589 200675.810 0.34042 -1.55979 -0.02045 0.0002582462 -0.03504 6.001 0.001852 790.049 284.844 0.00008278444 0.00024045178 0.0000935830 0.0000982405 200579.972 200090.651 200387.798 0.40818 -1.86928 -0.02397 0.0002581716 -0.05018 7.002 0.002161 789.743 284.773 0.00008232334 0.00024102977 0.0000931523 0.0000985832 200307.512 199824.235 200115.315 0.47576 -2.17771 -0.02731 0.0002580835 -0.06801 8.000 0.002469 789.455 284.707 0.00008186373 0.00024159927 0.0000927170 0.0000989171 200051.309 199574.100 199859.138 0.54294 -2.48407 -0.03044 0.0002579822 -0.08844 9.001 0.002778 789.183 284.647 0.00008140269 0.00024216393 0.0000922746 0.0000992445 199809.674 199338.594 199617.579 0.61013 -2.79028 -0.03339 0.0002578671 -0.11159 10.003 0.003087 788.928 284.593 0.00008094179 0.00024272182 0.0000918265 0.0000995641 199583.437 199118.524 199391.467 0.67709 -3.09533 -0.03616 0.0002577386 -0.13739 11.001 0.003395 788.691 284.544 0.00008048258 0.00024327113 0.0000913743 0.0000998749 199373.232 198914.504 199181.434 0.74360 -3.39819 -0.03873 0.0002575972 -0.16573 12.002 0.003704 788.471 284.502 0.00008002214 0.00024381536 0.0000909153 0.0001001786 199177.671 198725.182 198986.094 0.81007 -3.70079 -0.04112 0.0002574420 -0.19679 13.003 0.004013 788.267 284.465 0.00007956202 0.00024435267 0.0000904511 0.0001004744 198997.438 198551.222 198806.130 0.87627 -4.00210 -0.04332 0.0002572735 -0.23046 14.001 0.004321 788.082 284.434 0.00007910379 0.00024488130 0.0000899833 0.0001007610 198833.023 198393.091 198642.029 0.94197 -4.30112 -0.04533 0.0002570923 -0.26662 15.002 0.004630 787.913 284.409 0.00007864451 0.00024540463 0.0000895091 0.0001010403 198683.336 198249.739 198492.705 1.00757 -4.59975 -0.04716 0.0002568974 -0.30547 16.003 0.004939 787.761 284.389 0.00007818576 0.00024592087 0.0000890300 0.0001013114 198548.920 198121.685 198358.698 1.07286 -4.89697 -0.04879 0.0002566894 -0.34690 17.001 0.005247 787.626 284.375 0.00007772906 0.00024642833 0.0000885478 0.0001015731 198430.117 198009.251 198240.350 1.13760 -5.19181 -0.05024 0.0002564690 -0.39075 18.002 0.005556 787.509 284.367 0.00007727153 0.00024693025 0.0000880596 0.0001018273 198326.141 197911.689 198136.876 1.20219 -5.48612 -0.05151 0.0002562349 -0.43728 19.000 0.005864 787.408 284.365 0.00007681617 0.00024742333 0.0000875686 0.0001020720 198237.650 197829.615 198048.931 1.26621 -5.77798 -0.05258 0.0002559887 -0.48619 20.001 0.006173 787.325 284.368 0.00007636010 0.00024791071 0.0000870718 0.0001023090 198164.057 197762.481 197975.932 1.33005 -6.06923 -0.05348 0.0002557288 -0.53778 21.002 0.006482 787.259 284.377 0.00007590487 0.00024839072 0.0000865710 0.0001025372 198105.661 197710.564 197918.175 1.39349 -6.35889 -0.05418 0.0002554562 -0.59188 22.000 0.006790 787.210 284.391 0.00007545199 0.00024886179 0.0000860678 0.0001027560 198062.569 197673.948 197875.765 1.45630 -6.64599 -0.05470 0.0002551718 -0.64829 23.001 0.007099 787.178 284.412 0.00007499859 0.00024932692 0.0000855593 0.0001029666 198034.491 197652.384 197848.417 1.51889 -6.93235 -0.05504 0.0002548739 -0.70736 24.003 0.007408 787.164 284.438 0.00007454622 0.00024978450 0.0000850472 0.0001031683 198021.586 197646.006 197836.285 1.58102 -7.21701 -0.05519 0.0002545635 -0.76890 25.001 0.007716 787.166 284.469 0.00007409637 0.00025023304 0.0000845333 0.0001033604 198023.814 197654.754 197839.329 1.64249 -7.49901 -0.05515 0.0002542418 -0.83268 26.002 0.008025 787.186 284.506 0.00007364621 0.00025067538 0.0000840145 0.0001035442 198041.185 197678.678 197857.563 1.70367 -7.78014 -0.05493 0.0002539066 -0.89910 27.003 0.008334 787.223 284.549 0.00007319725 0.00025111000 0.0000834925 0.0001037188 198073.716 197717.770 197891.000 1.76436 -8.05945 -0.05452 0.0002535593 -0.96795 28.001 0.008642 787.276 284.597 0.00007275100 0.00025153546 0.0000829692 0.0001038837 198121.224 197771.826 197939.456 1.82433 -8.33600 -0.05392 0.0002532010 -1.03898 29.002 0.008951 787.348 284.651 0.00007230463 0.00025195447 0.0000824415 0.0001040400 198184.018 197841.194 198003.244 1.88397 -8.61155 -0.05314 0.0002528296 -1.11262 30.003 0.009260 787.436 284.711 0.00007185966 0.00025236556 0.0000819111 0.0001041871 198261.970 197925.725 198082.234 1.94306 -8.88516 -0.05218 0.0002524462 -1.18865 31.001 0.009568 787.541 284.776 0.00007141757 0.00025276739 0.0000813799 0.0001043245 198354.756 198025.070 198176.098 2.00140 -9.15591 -0.05103 0.0002520524 -1.26678 32.002 0.009877 787.663 284.847 0.00007097556 0.00025316249 0.0000808447 0.0001044529 198462.984 198139.877 198285.450 2.05935 -9.42552 -0.04969 0.0002516457 -1.34752 33.000 0.010185 787.802 284.923 0.00007053655 0.00025354824 0.0000803091 0.0001045717 198585.958 198269.407 198409.587 2.11651 -9.69221 -0.04817 0.0002512288 -1.43031 34.001 0.010494 787.959 285.005 0.00007009777 0.00025392709 0.0000797698 0.0001046814 198724.484 198414.506 198549.323 2.17325 -9.95766 -0.04646 0.0002507992 -1.51569 35.002 0.010803 788.133 285.092 0.00006966069 0.00025429769 0.0000792286 0.0001047817 198878.195 198574.782 198704.287 2.22936 -10.22097 -0.04457 0.0002503583 -1.60336 36.000 0.011111 788.323 285.185 0.00006922679 0.00025465882 0.0000786874 0.0001048722 199046.530 198749.653 198873.914 2.28465 -10.48125 -0.04249 0.0002499077 -1.69303 37.002 0.011420 788.530 285.283 0.00006879333 0.00025501276 0.0000781431 0.0001049536 199230.594 198940.261 199059.315 2.33946 -10.74016 -0.04022 0.0002494447 -1.78525 38.003 0.011729 788.755 285.387 0.00006836177 0.00025535825 0.0000775974 0.0001050254 199429.876 199146.074 199259.977 2.39359 -10.99679 -0.03777 0.0002489708 -1.87972 39.001 0.012037 788.996 285.496 0.00006793357 0.00025569413 0.0000770523 0.0001050875 199643.673 199366.363 199475.190 2.44686 -11.25030 -0.03514 0.0002484878 -1.97611 40.002 0.012346 789.254 285.611 0.00006750601 0.00025602252 0.0000765044 0.0001051402 199873.386 199602.571 199706.367 2.49960 -11.50228 -0.03231 0.0002479926 -2.07502 41.003 0.012655 789.530 285.731 0.00006708056 0.00025634224 0.0000759557 0.0001051834 200118.363 199854.021 199952.850 2.55161 -11.75186 -0.02929 0.0002474871 -2.17614 42.001 0.012963 789.822 285.857 0.00006665865 0.00025665222 0.0000754081 0.0001052169 200377.756 200119.839 200213.783 2.60272 -11.99820 -0.02610 0.0002469730 -2.27909 43.002 0.013272 790.131 285.988 0.00006623760 0.00025695440 0.0000748582 0.0001052408 200653.266 200401.767 200490.881 2.65325 -12.24287 -0.02271 0.0002464471 -2.38454 44.003 0.013581 790.457 286.125 0.00006581887 0.00025724768 0.0000743080 0.0001052552 200944.097 200698.985 200783.341 2.70300 -12.48500 -0.01913 0.0002459112 -2.49213 45.001 0.013889 790.799 286.266 0.00006540386 0.00025753108 0.0000737594 0.0001052600 201249.254 201010.474 201090.162 2.75181 -12.72379 -0.01538 0.0002453674 -2.60149 46.002 0.014198 791.159 286.414 0.00006498995 0.00025780635 0.0000732090 0.0001052552 201570.742 201338.274 201413.360 2.79998 -12.96074 -0.01143 0.0002448122 -2.71330 47.000 0.014506 791.534 286.567 0.00006457989 0.00025807164 0.0000726605 0.0001052408 201906.502 201680.285 201750.865 2.84719 -13.19427 -0.00730 0.0002442494 -2.82684 48.001 0.014815 791.928 286.725 0.00006417108 0.00025832858 0.0000721107 0.0001052168 202258.739 202038.748 202104.892 2.89372 -13.42585 -0.00297 0.0002436755 -2.94280 49.002 0.015124 792.338 286.889 0.00006376494 0.00025857623 0.0000715613 0.0001051832 202626.414 202412.598 202474.398 2.93940 -13.65467 0.00155 0.0002430925 -3.06081 50.000 0.015432 792.763 287.057 0.00006336283 0.00025881372 0.0000710143 0.0001051401 203008.289 202800.573 202858.136 2.98408 -13.87995 0.00625 0.0002425025 -3.18045 51.002 0.015741 793.206 287.232 0.00006296223 0.00025904254 0.0000704665 0.0001050873 203406.869 203205.216 203258.626 3.02804 -14.10312 0.01115 0.0002419018 -3.30249 52.003 0.016050 793.666 287.411 0.00006256451 0.00025926179 0.0000699196 0.0001050250 203820.970 203625.314 203674.675 3.07110 -14.32338 0.01624 0.0002412926 -3.42651 53.001 0.016358 794.141 287.596 0.00006217102 0.00025947073 0.0000693757 0.0001049534 204249.204 204059.459 204104.889 3.11313 -14.53999 0.02150 0.0002406771 -3.55209 54.002 0.016667 794.634 287.787 0.00006177929 0.00025967063 0.0000688313 0.0001048720 204694.383 204510.493 204552.092 3.15438 -14.75431 0.02697 0.0002400513 -3.68001 55.003 0.016976 795.143 287.982 0.00006139067 0.00025986071 0.0000682884 0.0001047812 205155.171 204977.057 205014.943 3.19470 -14.96557 0.03263 0.0002394176 -3.80985 56.001 0.017284 795.667 288.183 0.00006100648 0.00026004030 0.0000677490 0.0001046812 205630.032 205457.591 205491.898 3.23394 -15.17306 0.03847 0.0002387782 -3.94116 57.002 0.017593 796.210 288.389 0.00006062431 0.00026021049 0.0000672096 0.0001045714 206122.083 205955.242 205986.085 3.27236 -15.37807 0.04451 0.0002381291 -4.07477 58.003 0.017902 796.768 288.601 0.00006024549 0.00026037057 0.0000666723 0.0001044523 206629.840 206468.500 206496.015 3.30980 -15.57988 0.05075 0.0002374726 -4.21023 59.001 0.018210 797.341 288.817 0.00005987131 0.00026051998 0.0000661388 0.0001043242 207151.615 206995.654 207019.992 3.34614 -15.77778 0.05716 0.0002368110 -4.34707 60.002 0.018519 797.932 289.040 0.00005949943 0.00026065960 0.0000656059 0.0001041863 207690.830 207540.154 207561.452 3.38160 -15.97302 0.06378 0.0002361403 -4.48616 61.000 0.018827 798.537 289.266 0.00005913232 0.00026078844 0.0000650773 0.0001040397 208244.030 208098.500 208116.924 3.41594 -16.16428 0.07058 0.0002354650 -4.62658 62.001 0.019136 799.160 289.499 0.00005876769 0.00026090722 0.0000645495 0.0001038834 208814.840 208674.345 208690.047 3.44937 -16.35273 0.07759 0.0002347809 -4.76920 63.003 0.019445 799.800 289.737 0.00005840683 0.00026101541 0.0000640246 0.0001037178 209401.524 209265.926 209279.079 3.48176 -16.53771 0.08480 0.0002340905 -4.91355 64.000 0.019753 800.453 289.979 0.00005805097 0.00026111262 0.0000635043 0.0001035437 210002.142 209871.276 209882.069 3.51300 -16.71857 0.09217 0.0002333961 -5.05913 65.002 0.020062 801.124 290.228 0.00005769788 0.00026119937 0.0000629855 0.0001033600 210620.628 210494.352 210502.967 3.54328 -16.89643 0.09977 0.0002326935 -5.20686 66.003 0.020371 801.811 290.481 0.00005734881 0.00026127522 0.0000624700 0.0001031672 211255.095 211133.236 211139.877 3.57249 -17.07064 0.10756 0.0002319852 -5.35624 67.001 0.020679 802.512 290.739 0.00005700497 0.00026133989 0.0000619595 0.0001029661 211903.446 211785.805 211790.694 3.60053 -17.24060 0.11552 0.0002312737 -5.50675 68.002 0.020988 803.230 291.003 0.00005666421 0.00026139369 0.0000614510 0.0001027555 212569.929 212456.319 212459.679 3.62756 -17.40734 0.12370 0.0002305545 -5.65935 69.003 0.021297 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0.00009365061 0.00022476974 0.0001018261 0.0000880618 211790.452 211174.931 211614.716 6.49456 5.73708 3.04108 0.0002562360 4.35789 343.000 0.105864 801.664 288.063 0.00009321237 0.00022548759 0.0001015728 0.0000885484 211139.938 210528.708 210962.873 6.56178 5.41631 3.03311 0.0002564693 4.40693 344.001 0.106173 800.975 287.854 0.00009277091 0.00022620258 0.0001013102 0.0000890321 210503.547 209896.731 210325.209 6.62940 5.09452 3.02531 0.0002566903 4.45325 345.002 0.106482 800.301 287.652 0.00009232773 0.00022691230 0.0001010391 0.0000895112 209883.387 209281.087 209703.834 6.69719 4.77280 3.01770 0.0002568983 4.49669 346.000 0.106790 799.646 287.456 0.00009188437 0.00022761441 0.0001007607 0.0000899839 209281.351 208683.652 209100.646 6.76491 4.45225 3.01033 0.0002570926 4.53713 347.001 0.107099 799.006 287.266 0.00009143803 0.00022831339 0.0001004731 0.0000904532 208693.495 208100.509 208511.693 6.83299 4.13082 3.00312 0.0002572743 4.57483 348.003 0.107408 798.381 287.081 0.00009099023 0.00022900688 0.0001001773 0.0000909174 208121.766 207533.585 207938.924 6.90120 3.80962 2.99611 0.0002574427 4.60968 349.001 0.107716 797.775 286.904 0.00009054250 0.00022969262 0.0000998745 0.0000913749 207567.899 206984.597 207384.078 6.96929 3.48972 2.98933 0.0002575974 4.64156 350.002 0.108025 797.183 286.731 0.00009009203 0.00023037497 0.0000995627 0.0000918285 207028.263 206449.941 206843.516 7.03770 3.16911 2.98271 0.0002577392 4.67071 351.003 0.108334 796.608 286.565 0.00008964034 0.00023105164 0.0000992431 0.0000922766 206504.644 205931.388 206319.029 7.10619 2.84886 2.97630 0.0002578676 4.69702 352.001 0.108642 796.051 286.405 0.00008918898 0.00023172041 0.0000989167 0.0000927176 205998.625 205430.497 205812.200 7.17451 2.53006 2.97010 0.0002579823 4.72043 353.002 0.108951 795.509 286.251 0.00008873509 0.00023238556 0.0000985816 0.0000931542 205506.882 204943.976 205319.700 7.24311 2.21068 2.96407 0.0002580839 4.74109 354.003 0.109260 794.984 286.102 0.00008828022 0.00023304484 0.0000982390 0.0000935850 205031.049 204473.440 204843.165 7.31174 1.89181 2.95824 0.0002581720 4.75894 355.001 0.109568 794.477 285.961 0.00008782592 0.00023369609 0.0000978900 0.0000940083 204572.551 204020.293 204384.022 7.38016 1.57452 2.95263 0.0002582463 4.77394 356.002 0.109877 793.985 285.824 0.00008736931 0.00023434349 0.0000975325 0.0000944268 204128.375 203581.556 203939.254 7.44880 1.25679 2.94719 0.0002583073 4.78619 357.000 0.110185 793.511 285.694 0.00008691343 0.00023498277 0.0000971690 0.0000948377 203701.362 203160.029 203511.704 7.51721 0.94072 2.94196 0.0002583547 4.79563 358.001 0.110494 793.052 285.570 0.00008645538 0.00023561805 0.0000967971 0.0000952435 203288.702 202752.938 203098.559 7.58581 0.62431 2.93690 0.0002583886 4.80233 359.002 0.110803 792.611 285.451 0.00008599671 0.00023624716 0.0000964182 0.0000956427 202891.773 202361.639 202701.198 7.65436 0.30863 2.93204 0.0002584090 4.80626 360.000 0.111111 792.187 285.339 0.00008553899 0.00023686806 0.0000960337 0.0000960340 202511.749 201987.286 202320.796 7.72263 -0.00527 2.92739 0.0002584157 4.80743 Engine speed (Hz) = 9.0000000000 Output power (W) = 43.2668794062 Heat into heater (W) = 69.5036758374 Heat to regenerator (W) = -0.0474717613 Heat removal from cooler (W) = 26.3464792588 Approximate Pumping loss (W) = -0.7082129608 Thermal efficiency (%) = 62.2512102919 The average engine pressure (Pa) = 271691.6012522492 The exp space work per cycle (J) = 7.7232566004 The comp space work per cycle (J) = -2.9158255553 The net work per cycle (J) = 4.8074310451 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6016416451 The expansion work for Vmin-to-Vmax (J) = 26.4090726902 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.004 0.000001 792.376 285.410 0.00008556421 0.00023681257 0.0000960324 0.0000960353 202622.424 201987.636 202391.370 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000278 791.969 285.304 0.00008510610 0.00023742730 0.0000956414 0.0000964195 202257.716 201629.841 202026.263 0.06810 -0.31307 -0.00447 0.0002584089 -0.00161 2.002 0.000556 791.578 285.203 0.00008464593 0.00023803794 0.0000952423 0.0000967983 201907.271 201286.400 201675.480 0.13635 -0.62643 -0.00876 0.0002583886 -0.00595 3.002 0.000834 791.204 285.108 0.00008418542 0.00023864221 0.0000948366 0.0000971700 201572.401 200958.599 201340.335 0.20449 -0.93889 -0.01286 0.0002583546 -0.01303 4.003 0.001112 790.846 285.019 0.00008372464 0.00023924006 0.0000944245 0.0000975345 201253.075 200646.404 201020.796 0.27251 -1.25043 -0.01677 0.0002583070 -0.02281 5.000 0.001389 790.507 284.936 0.00008326532 0.00023982931 0.0000940076 0.0000978906 200950.328 200350.821 200717.897 0.34014 -1.55989 -0.02047 0.0002582462 -0.03526 6.001 0.001667 790.183 284.859 0.00008280420 0.00024041417 0.0000935830 0.0000982405 200661.945 200069.684 200429.421 0.40786 -1.86946 -0.02400 0.0002581716 -0.05043 7.002 0.001945 789.877 284.788 0.00008234302 0.00024099244 0.0000931524 0.0000985830 200389.017 199804.057 200156.462 0.47540 -2.17798 -0.02734 0.0002580835 -0.06829 8.003 0.002223 789.588 284.722 0.00008188184 0.00024156406 0.0000927159 0.0000989180 200131.517 199553.910 199898.991 0.54275 -2.48541 -0.03049 0.0002579819 -0.08882 9.004 0.002501 789.315 284.662 0.00008142072 0.00024212900 0.0000922736 0.0000992452 199889.419 199319.215 199656.981 0.60990 -2.79171 -0.03345 0.0002578668 -0.11201 10.001 0.002778 789.061 284.609 0.00008096139 0.00024268518 0.0000918273 0.0000995636 199663.485 199100.705 199431.195 0.67659 -3.09575 -0.03621 0.0002577388 -0.13776 11.002 0.003056 788.823 284.560 0.00008050059 0.00024323658 0.0000913738 0.0000998752 199452.061 198896.775 199219.976 0.74327 -3.39969 -0.03880 0.0002575970 -0.16622 12.002 0.003334 788.601 284.518 0.00008004006 0.00024378112 0.0000909150 0.0001001789 199255.965 198708.219 199024.144 0.80971 -3.70238 -0.04119 0.0002574419 -0.19731 13.003 0.003612 788.397 284.482 0.00007957984 0.00024431875 0.0000904509 0.0001004745 199075.177 198535.010 198843.677 0.87587 -4.00379 -0.04340 0.0002572734 -0.23101 14.000 0.003889 788.211 284.451 0.00007912167 0.00024484751 0.0000899835 0.0001007609 198910.243 198377.667 198679.121 0.94150 -4.30280 -0.04541 0.0002570924 -0.26718 15.001 0.004167 788.041 284.426 0.00007866229 0.00024537116 0.0000895094 0.0001010401 198759.953 198235.033 198529.268 1.00708 -4.60153 -0.04725 0.0002568976 -0.30605 16.002 0.004445 787.889 284.406 0.00007820343 0.00024588774 0.0000890305 0.0001013111 198624.912 198107.682 198394.720 1.07233 -4.89886 -0.04889 0.0002566896 -0.34751 17.003 0.004723 787.753 284.393 0.00007774514 0.00024639719 0.0000885470 0.0001015736 198505.104 197995.597 198275.461 1.13724 -5.19476 -0.05035 0.0002564686 -0.39152 18.004 0.005001 787.635 284.385 0.00007728749 0.00024689944 0.0000880589 0.0001018276 198400.512 197898.759 198171.474 1.20181 -5.48918 -0.05162 0.0002562345 -0.43808 19.001 0.005278 787.534 284.383 0.00007683219 0.00024739268 0.0000875683 0.0001020722 198311.418 197817.419 198083.038 1.26577 -5.78104 -0.05270 0.0002559885 -0.48700 20.002 0.005556 787.450 284.386 0.00007637601 0.00024788041 0.0000870716 0.0001023091 198237.164 197750.974 198009.501 1.32958 -6.07240 -0.05360 0.0002557287 -0.53861 21.002 0.005834 787.383 284.396 0.00007592065 0.00024836077 0.0000865710 0.0001025372 198178.089 197699.732 197951.197 1.39299 -6.36217 -0.05432 0.0002554562 -0.59273 22.003 0.006112 787.333 284.410 0.00007546618 0.00024883372 0.0000860664 0.0001027566 198134.183 197663.682 197908.117 1.45598 -6.65031 -0.05484 0.0002551710 -0.64934 23.000 0.006389 787.301 284.431 0.00007501430 0.00024929753 0.0000855599 0.0001029664 198105.513 197642.860 197880.325 1.51831 -6.93576 -0.05518 0.0002548743 -0.70822 24.001 0.006667 787.285 284.457 0.00007456180 0.00024975548 0.0000850479 0.0001031680 198091.866 197637.107 197867.612 1.58042 -7.22054 -0.05534 0.0002545640 -0.76977 25.002 0.006945 787.287 284.489 0.00007411037 0.00025020584 0.0000845326 0.0001033607 198093.366 197646.518 197870.101 1.64206 -7.50357 -0.05531 0.0002542413 -0.83377 26.003 0.007223 787.306 284.526 0.00007366008 0.00025064854 0.0000840139 0.0001035443 198110.009 197671.086 197887.787 1.70322 -7.78482 -0.05509 0.0002539063 -0.90021 27.004 0.007501 787.342 284.569 0.00007321100 0.00025108352 0.0000834921 0.0001037189 198141.793 197710.806 197920.667 1.76388 -8.06425 -0.05469 0.0002535590 -0.96907 28.001 0.007778 787.395 284.618 0.00007276478 0.00025150920 0.0000829692 0.0001038837 198188.520 197765.451 197968.539 1.82381 -8.34082 -0.05410 0.0002532010 -1.04008 29.002 0.008056 787.465 284.672 0.00007231829 0.00025192858 0.0000824417 0.0001040400 198250.528 197835.412 198031.749 1.88342 -8.61649 -0.05333 0.0002528297 -1.11374 30.002 0.008334 787.552 284.732 0.00007187318 0.00025234006 0.0000819115 0.0001041870 198327.677 197920.519 198110.153 1.94249 -8.89022 -0.05237 0.0002524465 -1.18977 31.003 0.008612 787.657 284.797 0.00007142953 0.00025274356 0.0000813788 0.0001043247 198419.970 198020.773 198203.753 2.00099 -9.16197 -0.05123 0.0002520516 -1.26817 32.000 0.008889 787.778 284.868 0.00007098898 0.00025313762 0.0000808457 0.0001044527 198526.997 198135.733 198312.136 2.05871 -9.43073 -0.04990 0.0002516464 -1.34861 33.001 0.009167 787.916 284.945 0.00007054842 0.00025352501 0.0000803085 0.0001045718 198649.538 198266.232 198436.089 2.11604 -9.69841 -0.04839 0.0002512283 -1.43168 34.002 0.009445 788.072 285.027 0.00007010951 0.00025390422 0.0000797694 0.0001046815 198787.241 198411.888 198575.255 2.17276 -9.96398 -0.04668 0.0002507989 -1.51706 35.003 0.009723 788.245 285.114 0.00006967230 0.00025427520 0.0000792284 0.0001047817 198940.114 198572.706 198729.644 2.22885 -10.22741 -0.04479 0.0002503581 -1.60474 36.004 0.010001 788.434 285.208 0.00006923688 0.00025463787 0.0000786857 0.0001048725 199108.167 198748.693 198899.264 2.28430 -10.48865 -0.04272 0.0002499062 -1.69470 37.001 0.010278 788.640 285.306 0.00006880484 0.00025499090 0.0000781435 0.0001049535 199290.726 198939.144 199083.436 2.33889 -10.74674 -0.04047 0.0002494450 -1.78659 38.002 0.010556 788.864 285.410 0.00006837316 0.00025533677 0.0000775980 0.0001050253 199489.121 199145.444 199283.500 2.39301 -11.00350 -0.03802 0.0002489713 -1.88106 39.002 0.010834 789.105 285.520 0.00006794344 0.00025567411 0.0000770513 0.0001050876 199702.736 199366.942 199498.835 2.44643 -11.25795 -0.03538 0.0002484869 -1.97776 40.003 0.011112 789.362 285.635 0.00006751576 0.00025600287 0.0000765036 0.0001051403 199931.584 199603.651 199729.454 2.49915 -11.51004 -0.03256 0.0002479919 -2.07667 41.000 0.011389 789.636 285.755 0.00006709172 0.00025632181 0.0000759571 0.0001051833 200174.779 199854.652 199974.464 2.55096 -11.75885 -0.02957 0.0002474884 -2.17741 42.001 0.011667 789.927 285.881 0.00006666831 0.00025663318 0.0000754079 0.0001052169 200434.093 200121.770 200235.649 2.60222 -12.00611 -0.02637 0.0002469728 -2.28069 43.002 0.011945 790.235 286.012 0.00006624715 0.00025693572 0.0000748582 0.0001052408 200708.696 200404.143 200512.174 2.65273 -12.25089 -0.02299 0.0002464471 -2.38613 44.003 0.012223 790.560 286.149 0.00006582830 0.00025722937 0.0000743082 0.0001052552 200998.608 200701.787 200804.057 2.70247 -12.49314 -0.01942 0.0002459114 -2.49371 45.004 0.012501 790.902 286.291 0.00006541183 0.00025751404 0.0000737580 0.0001052600 201303.850 201014.720 201111.321 2.75142 -12.73281 -0.01566 0.0002453660 -2.60342 46.001 0.012778 791.260 286.439 0.00006499929 0.00025778867 0.0000732098 0.0001052552 201623.266 201341.753 201432.799 2.79940 -12.96902 -0.01173 0.0002448130 -2.71482 47.002 0.013056 791.635 286.592 0.00006458778 0.00025805518 0.0000726597 0.0001052408 201959.185 201685.265 201770.837 2.84675 -13.20342 -0.00759 0.0002442485 -2.82871 48.002 0.013334 792.028 286.750 0.00006417887 0.00025831246 0.0000721101 0.0001052168 202310.507 202044.125 202124.326 2.89326 -13.43510 -0.00327 0.0002436748 -2.94466 49.003 0.013612 792.437 286.914 0.00006377262 0.00025856044 0.0000715609 0.0001051831 202677.258 202418.353 202493.292 2.93893 -13.66403 0.00125 0.0002430920 -3.06266 50.000 0.013889 792.861 287.083 0.00006337056 0.00025879819 0.0000710143 0.0001051401 203058.062 202806.542 202876.351 2.98358 -13.88933 0.00593 0.0002425025 -3.18224 51.001 0.014167 793.303 287.257 0.00006296985 0.00025902733 0.0000704667 0.0001050874 203455.697 203211.518 203276.297 3.02752 -14.11260 0.01083 0.0002419020 -3.30426 52.002 0.014445 793.762 287.437 0.00006257202 0.00025924692 0.0000699200 0.0001050251 203868.844 203631.930 203691.803 3.07057 -14.33297 0.01591 0.0002412931 -3.42826 53.003 0.014723 794.237 287.623 0.00006217716 0.00025945686 0.0000693745 0.0001049532 204297.535 204067.802 204122.899 3.11272 -14.55038 0.02118 0.0002406757 -3.55423 54.004 0.015001 794.729 287.813 0.00006178534 0.00025965706 0.0000688303 0.0001048719 204741.799 204519.158 204569.614 3.15395 -14.76478 0.02665 0.0002400502 -3.68213 55.001 0.015278 795.235 288.009 0.00006139803 0.00025984677 0.0000682896 0.0001047814 205199.986 204984.316 205030.289 3.19411 -14.97538 0.03228 0.0002394190 -3.81149 56.002 0.015556 795.760 288.210 0.00006101250 0.00026002725 0.0000677486 0.0001046811 205675.435 205466.659 205508.280 3.23347 -15.18364 0.03813 0.0002387777 -3.94320 57.002 0.015834 796.301 288.416 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0.0000566050 279973.674 279364.159 279957.208 3.21159 22.33825 3.88356 0.0002231319 -3.79971 283.003 0.078612 867.486 311.408 0.00011236724 0.00017739713 0.0001004745 0.0000570691 278437.801 277816.357 278418.438 3.25036 22.16047 3.86473 0.0002238916 -3.58788 284.000 0.078889 866.132 310.869 0.00011224687 0.00017817160 0.0001007609 0.0000575365 276915.975 276282.943 276893.571 3.28953 21.97775 3.84608 0.0002246454 -3.37883 285.001 0.079167 864.776 310.331 0.00011211635 0.00017895478 0.0001010402 0.0000580106 275397.657 274753.310 275372.061 3.32937 21.78889 3.82747 0.0002253988 -3.17108 286.002 0.079445 863.422 309.797 0.00011197625 0.00017974354 0.0001013111 0.0000584895 273888.791 273233.456 273859.875 3.36976 21.59468 3.80897 0.0002261486 -2.96545 287.003 0.079723 862.073 309.266 0.00011182675 0.00018053753 0.0001015736 0.0000589730 272389.796 271723.808 272357.442 3.41071 21.39526 3.79059 0.0002268947 -2.76199 288.000 0.080000 860.732 308.741 0.00011166859 0.00018133351 0.0001018267 0.0000594593 270906.409 270230.153 270870.526 3.45206 21.19149 3.77240 0.0002276341 -2.56144 289.001 0.080278 859.391 308.218 0.00011150080 0.00018213690 0.0001020722 0.0000599517 269428.304 268742.095 269388.785 3.49413 20.98205 3.75427 0.0002283720 -2.36241 290.002 0.080556 858.055 307.699 0.00011132410 0.00018294452 0.0001023091 0.0000604484 267961.224 267265.425 267917.986 3.53677 20.76779 3.73628 0.0002291055 -2.16566 291.002 0.080834 856.724 307.184 0.00011113865 0.00018375602 0.0001025372 0.0000609490 266505.525 265800.502 266458.494 3.57999 20.54883 3.71843 0.0002298343 -1.97123 292.003 0.081112 855.398 306.674 0.00011094463 0.00018457111 0.0001027566 0.0000614536 265061.544 264347.669 265010.655 3.62378 20.32531 3.70071 0.0002305583 -1.77916 293.000 0.081389 854.083 306.171 0.00011074293 0.00018538652 0.0001029664 0.0000619601 263634.735 262912.413 263579.947 3.66800 20.09818 3.68321 0.0002312745 -1.59016 294.001 0.081667 852.770 305.670 0.00011053227 0.00018620784 0.0001031680 0.0000624721 262215.103 261484.681 262156.356 3.71296 19.86594 3.66580 0.0002319881 -1.40291 295.002 0.081945 851.463 305.173 0.00011031353 0.00018703184 0.0001033607 0.0000629874 260808.118 260069.974 260745.372 3.75851 19.62950 3.64854 0.0002326962 -1.21811 296.003 0.082223 850.164 304.682 0.00011008687 0.00018785822 0.0001035443 0.0000635061 259414.060 258668.574 259347.284 3.80465 19.38901 3.63143 0.0002333985 -1.03581 297.000 0.082500 848.876 304.198 0.00010985330 0.00018868373 0.0001037183 0.0000640260 258038.139 257285.716 257967.324 3.85121 19.14546 3.61455 0.0002340923 -0.85667 298.001 0.082778 847.591 303.716 0.00010961132 0.00018951404 0.0001038837 0.0000645508 256670.674 255911.668 256595.789 3.89852 18.89722 3.59777 0.0002347825 -0.67943 299.002 0.083056 846.315 303.240 0.00010936190 0.00019034592 0.0001040400 0.0000650783 255316.897 254551.686 255237.932 3.94643 18.64527 3.58116 0.0002354663 -0.50477 300.002 0.083334 845.047 302.769 0.00010910521 0.00019117911 0.0001041870 0.0000656085 253977.037 253205.996 253893.986 3.99493 18.38975 3.56472 0.0002361435 -0.33272 301.003 0.083612 843.787 302.304 0.00010884141 0.00019201334 0.0001043248 0.0000661412 252651.308 251874.813 252564.175 4.04402 18.13075 3.54845 0.0002368140 -0.16329 302.000 0.083889 842.541 301.845 0.00010857164 0.00019284537 0.0001044527 0.0000666743 251344.607 250563.045 251253.413 4.09351 17.86935 3.53242 0.0002374750 0.00289 303.001 0.084167 841.300 301.391 0.00010829412 0.00019368097 0.0001045718 0.0000672115 250047.689 249261.410 249952.434 4.14377 17.60377 3.51650 0.0002381313 0.16700 304.002 0.084445 840.068 300.941 0.00010800995 0.00019451688 0.0001046815 0.0000677506 248765.480 247974.847 248666.181 4.19461 17.33506 3.50077 0.0002387801 0.32841 305.003 0.084723 838.846 300.498 0.00010771929 0.00019535290 0.0001047817 0.0000682916 247498.149 246703.521 247394.829 4.24604 17.06333 3.48522 0.0002394214 0.48711 306.000 0.085000 837.638 300.061 0.00010742338 0.00019618577 0.0001048722 0.0000688324 246250.333 245452.078 246143.033 4.29785 16.78968 3.46990 0.0002400526 0.64251 307.001 0.085278 836.437 299.629 0.00010712023 0.00019702131 0.0001049535 0.0000693765 245013.172 244211.625 244901.909 4.35042 16.51223 3.45472 0.0002406781 0.79573 308.002 0.085556 835.246 299.202 0.00010681105 0.00019785630 0.0001050253 0.0000699220 243791.336 242986.842 243676.145 4.40357 16.23208 3.43973 0.0002412954 0.94618 309.002 0.085834 834.065 298.782 0.00010649598 0.00019869052 0.0001050876 0.0000704687 242584.955 241777.853 242465.875 4.45727 15.94933 3.42492 0.0002419043 1.09384 310.003 0.086112 832.897 298.367 0.00010617517 0.00019952379 0.0001051403 0.0000710164 241394.149 240584.772 241271.223 4.51154 15.66407 3.41031 0.0002425047 1.23869 311.000 0.086389 831.743 297.959 0.00010584995 0.00020035291 0.0001051833 0.0000715629 240223.229 239411.911 240096.515 4.56615 15.37745 3.39594 0.0002430942 1.38023 312.001 0.086667 830.597 297.556 0.00010551812 0.00020118368 0.0001052169 0.0000721121 239063.843 238250.898 238933.376 4.62152 15.08749 3.38171 0.0002436770 1.51945 313.002 0.086945 829.463 297.158 0.00010518097 0.00020201292 0.0001052408 0.0000726618 237920.340 237106.083 237786.172 4.67742 14.79533 3.36767 0.0002442507 1.65583 314.003 0.087223 828.340 296.767 0.00010483866 0.00020284047 0.0001052552 0.0000732118 236792.809 235977.548 236654.993 4.73385 14.50104 3.35384 0.0002448151 1.78936 315.000 0.087500 827.234 296.383 0.00010449257 0.00020366316 0.0001052600 0.0000737600 235685.296 234869.337 235543.902 4.79061 14.20580 3.34024 0.0002453681 1.91956 316.001 0.087778 826.137 296.003 0.00010414034 0.00020448680 0.0001052552 0.0000743102 234589.878 233773.512 234444.951 4.84808 13.90756 3.32680 0.0002459134 2.04736 317.002 0.088056 825.052 295.630 0.00010378336 0.00020530822 0.0001052408 0.0000748603 233510.645 232694.162 233362.246 4.90607 13.60748 3.31356 0.0002464491 2.17228 318.002 0.088334 823.979 295.263 0.00010342174 0.00020612728 0.0001052168 0.0000754099 232447.657 231631.339 232295.847 4.96456 13.30564 3.30051 0.0002469747 2.29431 319.003 0.088612 822.920 294.901 0.00010305562 0.00020694382 0.0001051831 0.0000759591 231400.965 230585.087 231245.808 5.02354 13.00212 3.28767 0.0002474903 2.41345 320.000 0.088889 821.878 294.547 0.00010268647 0.00020775477 0.0001051401 0.0000765057 230374.291 229559.120 230215.864 5.08278 12.69812 3.27507 0.0002479938 2.52927 321.001 0.089167 820.845 294.198 0.00010231174 0.00020856585 0.0001050874 0.0000770533 229360.261 228546.062 229198.620 5.14272 12.39151 3.26262 0.0002484887 2.64260 322.002 0.089445 819.826 293.855 0.00010193290 0.00020937398 0.0001050251 0.0000776000 228362.647 227549.675 228197.859 5.20311 12.08348 3.25038 0.0002489731 2.75303 323.003 0.089723 818.821 293.518 0.00010155007 0.00021017901 0.0001049532 0.0000781455 227381.477 226569.981 227213.611 5.26396 11.77410 3.23834 0.0002494468 2.86053 324.000 0.090000 817.832 293.189 0.00010116475 0.00021097796 0.0001048722 0.0000786877 226420.215 225610.432 226249.352 5.32503 11.46458 3.22654 0.0002499079 2.96474 325.001 0.090278 816.855 292.864 0.00010077429 0.00021177644 0.0001047814 0.0000792304 225471.940 224664.110 225298.139 5.38676 11.15274 3.21491 0.0002503598 3.06640 326.002 0.090556 815.891 292.545 0.00010038020 0.00021257146 0.0001046811 0.0000797714 224540.165 223734.519 224363.499 5.44890 10.83979 3.20347 0.0002508005 3.16514 327.002 0.090834 814.942 292.233 0.00009998258 0.00021336288 0.0001045714 0.0000803105 223624.902 222821.662 223445.443 5.51145 10.52579 3.19224 0.0002512299 3.26095 328.003 0.091112 814.007 291.927 0.00009958156 0.00021415060 0.0001044523 0.0000808477 222726.156 221925.539 222543.976 5.57440 10.21082 3.18121 0.0002516480 3.35383 329.000 0.091389 813.090 291.628 0.00009917869 0.00021493169 0.0001043243 0.0000813808 221847.073 221049.280 221662.255 5.63751 9.89609 3.17043 0.0002520531 3.44346 330.001 0.091667 812.185 291.334 0.00009877119 0.00021571167 0.0001041865 0.0000819135 220981.306 220186.550 220793.913 5.70122 9.57939 3.15981 0.0002524480 3.53049 331.002 0.091945 811.294 291.046 0.00009836062 0.00021648761 0.0001040394 0.0000824437 220132.051 219340.531 219942.159 5.76529 9.26193 3.14939 0.0002528311 3.61458 332.003 0.092223 810.418 290.764 0.00009794707 0.00021725941 0.0001038831 0.0000829712 219299.303 218511.211 219106.984 5.82971 8.94377 3.13917 0.0002532024 3.69575 333.000 0.092500 809.560 290.489 0.00009753217 0.00021802421 0.0001037183 0.0000834941 218485.956 217701.465 218291.293 5.89423 8.62612 3.12919 0.0002535604 3.77371 334.001 0.092778 808.714 290.220 0.00009711301 0.00021878745 0.0001035437 0.0000840159 217686.124 216905.428 217489.182 5.95931 8.30676 3.11938 0.0002539075 3.84903 335.002 0.093056 807.884 289.957 0.00009669119 0.00021954624 0.0001033600 0.0000845345 216902.757 216126.031 216703.611 6.02470 7.98690 3.10977 0.0002542425 3.92142 336.002 0.093334 807.068 289.700 0.00009626681 0.00022030051 0.0001031673 0.0000850499 216135.836 215363.250 215934.560 6.09038 7.66659 3.10036 0.0002545652 3.99090 337.003 0.093612 806.269 289.448 0.00009583997 0.00022105016 0.0001029656 0.0000855618 215385.341 214617.059 215182.009 6.15635 7.34589 3.09116 0.0002548754 4.05745 338.000 0.093889 805.487 289.204 0.00009541232 0.00022179244 0.0001027558 0.0000860683 214653.860 213890.025 214448.552 6.22235 7.02603 3.08218 0.0002551721 4.12086 339.001 0.094167 804.719 288.966 0.00009498086 0.00022253261 0.0001025364 0.0000865728 213936.087 213176.868 213728.870 6.28884 6.70476 3.07338 0.0002554573 4.18160 340.002 0.094445 803.966 288.733 0.00009454723 0.00022326791 0.0001023082 0.0000870735 213234.666 212480.212 213025.612 6.35558 6.38327 3.06478 0.0002557297 4.23943 341.003 0.094723 803.229 288.506 0.00009411152 0.00022399825 0.0001020713 0.0000875701 212549.568 211800.023 212338.752 6.42254 6.06163 3.05637 0.0002559894 4.29436 342.000 0.095000 802.510 288.287 0.00009367540 0.00022472096 0.0001018267 0.0000880607 211883.141 211138.627 211670.640 6.48947 5.74105 3.04820 0.0002562354 4.34621 343.001 0.095278 801.805 288.072 0.00009323581 0.00022544118 0.0001015726 0.0000885488 211230.543 210491.211 211016.424 6.55684 5.41927 3.04020 0.0002564694 4.39536 344.002 0.095556 801.116 287.864 0.00009279441 0.00022615622 0.0001013101 0.0000890323 210594.177 209860.157 210378.511 6.62440 5.09751 3.03239 0.0002566904 4.44162 345.002 0.095834 800.443 287.662 0.00009235130 0.00022686599 0.0001010391 0.0000895112 209974.011 209245.429 209756.870 6.69212 4.77581 3.02479 0.0002568983 4.48500 346.003 0.096112 799.786 287.465 0.00009190654 0.00022757044 0.0001007598 0.0000899852 209370.010 208646.987 209151.465 6.76000 4.45422 3.01738 0.0002570931 4.52551 347.000 0.096389 799.147 287.276 0.00009146185 0.00022826698 0.0001004734 0.0000904527 208784.227 208066.860 208564.353 6.82778 4.13396 3.01020 0.0002572741 4.56302 348.001 0.096667 798.523 287.092 0.00009101408 0.00022896058 0.0001001777 0.0000909167 208212.397 207500.819 207991.259 6.89592 3.81275 3.00319 0.0002574425 4.59781 349.002 0.096945 797.915 286.914 0.00009056493 0.00022964865 0.0000998740 0.0000913755 207656.629 206950.948 207434.296 6.96418 3.49182 2.99638 0.0002575976 4.62975 350.003 0.097223 797.323 286.742 0.00009011447 0.00023033111 0.0000995624 0.0000918290 207116.886 206417.209 206893.429 7.03253 3.17119 2.98976 0.0002577394 4.65884 351.000 0.097500 796.750 286.576 0.00008966442 0.00023100549 0.0000992440 0.0000922753 206594.989 205901.394 206370.479 7.10071 2.85208 2.98336 0.0002578673 4.68501 352.001 0.097778 796.191 286.416 0.00008921160 0.00023167658 0.0000989167 0.0000927176 206087.134 205399.741 205861.635 7.16920 2.53222 2.97714 0.0002579823 4.70844 353.002 0.098056 795.649 286.262 0.00008875772 0.00023234188 0.0000985818 0.0000931541 205595.196 204914.100 205368.776 7.23774 2.21282 2.97111 0.0002580838 4.72906 354.002 0.098334 795.124 286.114 0.00008830284 0.00023300133 0.0000982392 0.0000935847 205119.140 204444.431 204891.865 7.30631 1.89392 2.96528 0.0002581719 4.74686 355.003 0.098612 794.615 285.972 0.00008784705 0.00023365487 0.0000978892 0.0000940092 204658.930 203990.696 204430.868 7.37490 1.57556 2.95964 0.0002582464 4.76186 356.000 0.098889 794.124 285.837 0.00008739207 0.00023430012 0.0000975332 0.0000944261 204216.101 203554.403 203987.319 7.44325 1.25894 2.95421 0.0002583073 4.77402 357.001 0.099167 793.649 285.707 0.00008693468 0.00023494167 0.0000971686 0.0000948381 203787.419 203132.361 203557.980 7.51182 0.94180 2.94896 0.0002583547 4.78345 358.002 0.099445 793.190 285.582 0.00008647659 0.00023557715 0.0000967969 0.0000952438 203374.477 202726.138 203144.447 7.58037 0.62534 2.94390 0.0002583887 4.79010 359.003 0.099723 792.748 285.464 0.00008601789 0.00023620647 0.0000964181 0.0000956429 202977.241 202335.696 202746.683 7.64887 0.30961 2.93903 0.0002584090 4.79399 360.000 0.100000 792.325 285.352 0.00008556029 0.00023682737 0.0000960338 0.0000960339 202597.020 201962.317 202366.000 7.71707 -0.00424 2.93438 0.0002584157 4.79511 Engine speed (Hz) = 10.0000000000 Output power (W) = 47.9511355741 Heat into heater (W) = 77.1706619597 Heat to regenerator (W) = -0.0423859953 Heat removal from cooler (W) = 29.3437593494 Approximate Pumping loss (W) = -0.9511270223 Thermal efficiency (%) = 62.1364834205 The average engine pressure (Pa) = 271705.6066556863 The exp space work per cycle (J) = 7.7181626335 The comp space work per cycle (J) = -2.9230490761 The net work per cycle (J) = 4.7951135574 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6089110635 The expansion work for Vmin-to-Vmax (J) = 26.4040246209 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 792.526 285.424 0.00008558809 0.00023676738 0.0000960333 0.0000960344 202715.571 201961.042 202441.031 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000253 792.117 285.318 0.00008512760 0.00023738548 0.0000956404 0.0000964205 202348.630 201602.335 202073.607 0.06839 -0.31473 -0.00449 0.0002584089 -0.00166 2.001 0.000505 791.726 285.218 0.00008466852 0.00023799485 0.0000952424 0.0000967981 201998.673 201260.660 201723.244 0.13642 -0.62737 -0.00878 0.0002583886 -0.00604 3.003 0.000758 791.351 285.123 0.00008420727 0.00023860028 0.0000948363 0.0000971702 201662.890 200933.269 201387.129 0.20461 -0.94037 -0.01289 0.0002583546 -0.01317 4.001 0.001010 790.994 285.035 0.00008374758 0.00023919692 0.0000944254 0.0000975338 201343.907 200622.718 201067.886 0.27241 -1.25121 -0.01680 0.0002583072 -0.02297 5.003 0.001263 790.653 284.952 0.00008328585 0.00023978945 0.0000940065 0.0000978915 201039.160 200326.509 200762.953 0.34034 -1.56232 -0.02053 0.0002582460 -0.03552 6.001 0.001515 790.329 284.875 0.00008282580 0.00024037314 0.0000935832 0.0000982404 200751.030 200046.951 200474.710 0.40784 -1.87120 -0.02405 0.0002581716 -0.05070 7.003 0.001768 790.022 284.804 0.00008236386 0.00024095256 0.0000931521 0.0000985833 200477.202 199781.794 200200.840 0.47544 -2.18026 -0.02740 0.0002580834 -0.06862 8.001 0.002020 789.733 284.739 0.00008190374 0.00024152308 0.0000927169 0.0000989173 200219.814 199533.105 199943.481 0.54258 -2.48702 -0.03055 0.0002579821 -0.08914 9.003 0.002273 789.459 284.679 0.00008144185 0.00024208917 0.0000922741 0.0000992449 199976.796 199298.881 199700.563 0.60978 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0.00018616364 0.0001031685 0.0000624734 262290.061 261424.137 262220.551 3.71109 19.86243 3.67353 0.0002319899 -1.41351 295.002 0.074495 851.587 305.183 0.00011033123 0.00018698471 0.0001033606 0.0000629873 260888.201 260013.111 260813.961 3.75644 19.62695 3.65632 0.0002326959 -1.22926 296.004 0.074748 850.288 304.691 0.00011010473 0.00018781145 0.0001035445 0.0000635065 259493.684 258609.842 259414.658 3.80257 19.38647 3.63920 0.0002333990 -1.04677 297.001 0.075000 849.000 304.205 0.00010987140 0.00018863704 0.0001037185 0.0000640268 258117.801 257225.689 258033.979 3.84910 19.14301 3.62231 0.0002340933 -0.86752 298.003 0.075253 847.715 303.723 0.00010962953 0.00018946776 0.0001038841 0.0000645521 256749.884 255849.918 256661.226 3.89640 18.89476 3.60552 0.0002347842 -0.69011 299.001 0.075505 846.444 303.248 0.00010938121 0.00019029677 0.0001040399 0.0000650781 255400.985 254493.643 255307.498 3.94410 18.64380 3.58896 0.0002354661 -0.51598 300.003 0.075758 845.175 302.777 0.00010912462 0.00019113040 0.0001041871 0.0000656089 254060.627 253146.324 253962.286 3.99259 18.38825 3.57250 0.0002361440 -0.34375 301.001 0.076010 843.920 302.312 0.00010886196 0.00019196180 0.0001043245 0.0000661401 252739.620 251818.825 252636.445 4.04146 18.13024 3.55628 0.0002368125 -0.17483 302.003 0.076263 842.669 301.852 0.00010859129 0.00019279731 0.0001044530 0.0000666756 251427.681 250500.808 251319.663 4.09113 17.86785 3.54017 0.0002374767 -0.00789 303.001 0.076515 841.433 301.398 0.00010831490 0.00019363010 0.0001045718 0.0000672113 250135.373 249202.879 250022.545 4.14117 17.60327 3.52431 0.0002381310 0.15573 304.003 0.076768 840.201 300.948 0.00010803077 0.00019446654 0.0001046815 0.0000677510 248852.621 247914.914 248734.984 4.19200 17.33449 3.50856 0.0002387806 0.31729 305.001 0.077020 838.983 300.506 0.00010774129 0.00019529979 0.0001047815 0.0000682905 247589.733 246647.258 247467.333 4.24321 17.06375 3.49305 0.0002394200 0.47551 306.003 0.077273 837.771 300.067 0.00010744432 0.00019613624 0.0001048724 0.0000688337 246336.844 245390.004 246209.694 4.29520 16.78902 3.47766 0.0002400541 0.63162 307.000 0.077525 836.574 299.636 0.00010714235 0.00019696906 0.0001049535 0.0000693763 245104.008 244153.232 244972.163 4.34755 16.51257 3.46252 0.0002406778 0.78437 308.002 0.077778 835.382 299.209 0.00010683313 0.00019780465 0.0001050254 0.0000699224 243881.579 242927.260 243745.061 4.40068 16.23230 3.44751 0.0002412958 0.93495 309.000 0.078030 834.207 298.789 0.00010651927 0.00019863620 0.0001050875 0.0000704675 242679.350 241721.901 242538.223 4.45416 15.95055 3.43275 0.0002419030 1.08216 310.002 0.078283 833.037 298.374 0.00010619840 0.00019947011 0.0001051402 0.0000710158 241487.898 240527.704 241342.194 4.50842 15.66516 3.41812 0.0002425041 1.22716 311.000 0.078535 831.884 297.966 0.00010587323 0.00020029959 0.0001051833 0.0000715627 240316.753 239354.211 240166.544 4.56300 15.37850 3.40374 0.0002430940 1.36877 312.002 0.078788 830.737 297.562 0.00010554129 0.00020113104 0.0001052169 0.0000721125 239156.724 238192.205 239002.048 4.61836 15.08838 3.38949 0.0002436774 1.50811 313.004 0.079041 829.603 297.164 0.00010520403 0.00020196099 0.0001052409 0.0000726628 238012.583 237046.463 237853.502 4.67425 14.79605 3.37544 0.0002442517 1.64461 314.002 0.079293 828.484 296.774 0.00010486293 0.00020278597 0.0001052552 0.0000732112 236888.846 235921.496 236725.440 4.73046 14.50274 3.36164 0.0002448145 1.77772 315.004 0.079546 827.374 296.388 0.00010451544 0.00020361237 0.0001052600 0.0000737620 235776.673 234808.446 235608.990 4.78741 14.20625 3.34798 0.0002453700 1.90850 316.002 0.079798 826.280 296.010 0.00010416443 0.00020443349 0.0001052552 0.0000743106 234684.926 233716.176 234513.054 4.84465 13.90898 3.33458 0.0002459138 2.03590 317.003 0.080051 825.195 295.636 0.00010380725 0.00020525568 0.0001052407 0.0000748612 233605.008 232636.076 233429.000 4.90263 13.60869 3.32132 0.0002464500 2.16092 318.001 0.080303 824.126 295.270 0.00010344686 0.00020607229 0.0001052168 0.0000754093 232545.512 231576.732 232365.458 4.96089 13.30782 3.30831 0.0002469742 2.28257 319.003 0.080556 823.067 294.908 0.00010308053 0.00020688964 0.0001051831 0.0000759591 231498.081 230529.782 231314.040 5.01986 13.00407 3.29544 0.0002474903 2.40180 320.001 0.080808 822.024 294.554 0.00010271128 0.00020770112 0.0001051401 0.0000765061 230471.041 229503.540 230283.107 5.07908 12.69993 3.28283 0.0002479942 2.51767 321.003 0.081061 820.991 294.204 0.00010233630 0.00020851303 0.0001050873 0.0000770543 229456.281 228489.892 229264.516 5.13902 12.39307 3.27037 0.0002484896 2.63109 322.001 0.081313 819.975 293.862 0.00010195869 0.00020931880 0.0001050251 0.0000775994 228461.856 227496.879 228266.357 5.19918 12.08600 3.25816 0.0002489726 2.74116 323.003 0.081566 818.969 293.525 0.00010157558 0.00021012471 0.0001049532 0.0000781455 227479.905 226516.640 227280.738 5.26003 11.77635 3.24610 0.0002494468 2.84874 324.001 0.081818 817.981 293.195 0.00010119010 0.00021092424 0.0001048721 0.0000786881 226518.212 225556.940 226315.474 5.32108 11.46665 3.23430 0.0002499082 2.95299 325.003 0.082071 817.003 292.870 0.00010079932 0.00021172362 0.0001047812 0.0000792314 225569.165 224610.175 225362.926 5.38281 11.15452 3.22264 0.0002503606 3.05473 326.001 0.082323 816.042 292.553 0.00010040646 0.00021251640 0.0001046812 0.0000797708 224640.281 223683.835 224430.639 5.44471 10.84250 3.21124 0.0002508000 3.15314 327.002 0.082576 815.093 292.240 0.00010000850 0.00021330875 0.0001045714 0.0000803105 223724.198 222770.572 223511.226 5.50727 10.52820 3.19999 0.0002512299 3.24902 328.000 0.082828 814.161 291.935 0.00009960870 0.00021409429 0.0001044526 0.0000808462 222828.164 221877.604 222611.961 5.56997 10.21416 3.18899 0.0002516468 3.34160 329.002 0.083081 813.240 291.634 0.00009920401 0.00021487915 0.0001043240 0.0000813818 221945.071 220997.840 221725.710 5.63332 9.89796 3.17815 0.0002520538 3.43161 330.000 0.083333 812.337 291.341 0.00009879773 0.00021565700 0.0001041866 0.0000819129 221081.898 220138.225 220859.480 5.69679 9.58217 3.16755 0.0002524476 3.51835 331.002 0.083586 811.446 291.053 0.00009838675 0.00021643392 0.0001040394 0.0000824437 220231.791 219291.926 220006.390 5.76087 9.26436 3.15712 0.0002528311 3.60250 332.004 0.083839 810.569 290.772 0.00009797279 0.00021720671 0.0001038830 0.0000829718 219398.200 218462.373 219169.905 5.82530 8.94584 3.14688 0.0002532028 3.68371 333.002 0.084091 809.711 290.497 0.00009755759 0.00021797223 0.0001037180 0.0000834950 218584.312 217652.728 218353.221 5.88981 8.62795 3.13689 0.0002535610 3.76168 334.004 0.084344 808.864 290.227 0.00009713797 0.00021873646 0.0001035432 0.0000840173 217783.653 216856.545 217549.844 5.95490 8.30821 3.12706 0.0002539085 3.83703 335.002 0.084596 808.037 289.965 0.00009671736 0.00021949326 0.0001033600 0.0000845345 217002.538 216080.095 216766.109 6.02005 7.98923 3.11748 0.0002542425 3.90917 336.003 0.084849 807.221 289.708 0.00009629250 0.00022024856 0.0001031671 0.0000850504 216234.749 215317.193 215995.777 6.08575 7.66853 3.10805 0.0002545655 3.97868 337.001 0.085101 806.423 289.458 0.00009586686 0.00022099628 0.0001029660 0.0000855609 215486.335 214573.841 215244.918 6.15148 7.34871 3.09887 0.0002548749 4.04500 338.003 0.085354 805.638 289.213 0.00009543716 0.00022174228 0.0001027552 0.0000860697 214751.334 213844.112 214507.550 6.21773 7.02729 3.08985 0.0002551729 4.10867 339.001 0.085606 804.872 288.975 0.00009500689 0.00022248058 0.0001025364 0.0000865728 214035.532 213133.744 213789.477 6.28399 6.70687 3.08106 0.0002554573 4.16918 340.003 0.085859 804.119 288.742 0.00009457273 0.00022321694 0.0001023080 0.0000870740 213333.222 212437.066 213084.974 6.35074 6.38496 3.07245 0.0002557300 4.22703 341.001 0.086111 803.384 288.516 0.00009413821 0.00022394547 0.0001020718 0.0000875692 212649.928 211759.554 212399.582 6.41746 6.06417 3.06406 0.0002559890 4.28176 342.003 0.086364 802.662 288.296 0.00009369996 0.00022467187 0.0001018260 0.0000880621 211980.198 211095.796 211727.833 6.48466 5.74200 3.05584 0.0002562361 4.33381 343.001 0.086616 801.958 288.082 0.00009326155 0.00022539032 0.0001015726 0.0000885488 211329.297 210451.002 211075.006 6.55179 5.42106 3.04786 0.0002564694 4.38277 344.003 0.086869 801.268 287.874 0.00009281957 0.00022610644 0.0001013098 0.0000890328 210692.027 209820.019 210435.888 6.61938 5.09885 3.04004 0.0002566906 4.42903 345.001 0.087121 800.597 287.672 0.00009237762 0.00022681451 0.0001010396 0.0000895103 210073.394 209207.797 209815.499 6.68686 4.77797 3.03245 0.0002568980 4.47225 346.002 0.087374 799.939 287.476 0.00009193227 0.00022752008 0.0001007600 0.0000899849 209468.455 208609.440 209208.881 6.75477 4.45592 3.02503 0.0002570930 4.51276 347.000 0.087626 799.300 287.287 0.00009148713 0.00022821748 0.0001004734 0.0000904527 208881.958 208029.638 208620.796 6.82256 4.13531 3.01783 0.0002572741 4.55025 348.002 0.087879 798.675 287.103 0.00009103875 0.00022891220 0.0001001774 0.0000909172 208309.215 207463.752 208046.541 6.89073 3.81364 3.01081 0.0002574426 4.58503 349.000 0.088131 798.069 286.926 0.00009059074 0.00022959867 0.0000998746 0.0000913747 207754.717 206916.214 207490.620 6.95875 3.49349 3.00401 0.0002575973 4.61684 350.002 0.088384 797.476 286.754 0.00009013965 0.00023028227 0.0000995626 0.0000918286 207214.029 206382.639 206948.586 7.02714 3.17239 2.99738 0.0002577393 4.64592 351.000 0.088636 796.902 286.588 0.00008968912 0.00023095754 0.0000992440 0.0000922753 206691.390 205867.206 206424.688 7.09533 2.85290 2.99097 0.0002578673 4.67206 352.002 0.088889 796.343 286.428 0.00008923564 0.00023162976 0.0000989164 0.0000927180 206182.617 205365.784 205914.730 7.16386 2.53256 2.98473 0.0002579824 4.69547 353.004 0.089142 795.800 286.274 0.00008878109 0.00023229620 0.0000985810 0.0000931550 205689.777 204880.410 205420.788 7.23244 2.21266 2.97869 0.0002580841 4.71606 354.002 0.089394 795.275 286.127 0.00008832734 0.00023295418 0.0000982395 0.0000935843 205214.691 204412.867 204944.682 7.30078 1.89452 2.97286 0.0002581718 4.73376 355.004 0.089647 794.766 285.985 0.00008787087 0.00023360886 0.0000978891 0.0000940093 204753.551 203959.406 204482.598 7.36941 1.57566 2.96721 0.0002582465 4.74873 356.001 0.089899 794.274 285.850 0.00008741535 0.00023425502 0.0000975328 0.0000944265 204309.968 203523.572 204038.153 7.43777 1.25864 2.96177 0.0002583073 4.76086 357.003 0.090152 793.798 285.720 0.00008695726 0.00023489772 0.0000971678 0.0000948390 203880.387 203101.868 203607.783 7.50640 0.94099 2.95651 0.0002583548 4.77025 358.001 0.090404 793.340 285.596 0.00008650029 0.00023553183 0.0000967971 0.0000952435 203468.167 202697.589 203194.856 7.57472 0.62527 2.95146 0.0002583886 4.77683 359.003 0.090657 792.897 285.478 0.00008604087 0.00023616231 0.0000964180 0.0000956430 203070.005 202307.488 202796.060 7.64326 0.30902 2.94658 0.0002584090 4.78067 360.001 0.090909 792.473 285.366 0.00008558272 0.00023678413 0.0000960334 0.0000960343 202689.013 201934.612 202414.512 7.71148 -0.00524 2.94191 0.0002584157 4.78176 Engine speed (Hz) = 11.0000000000 Output power (W) = 52.5992972346 Heat into heater (W) = 84.8262922863 Heat to regenerator (W) = -0.0576038583 Heat removal from cooler (W) = 32.3610390205 Approximate Pumping loss (W) = -1.2419222595 Thermal efficiency (%) = 62.0082474630 The average engine pressure (Pa) = 271724.5727800902 The exp space work per cycle (J) = 7.7120978294 The comp space work per cycle (J) = -2.9303435353 The net work per cycle (J) = 4.7817542941 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6167936071 The expansion work for Vmin-to-Vmax (J) = 26.3985479011 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.003 0.000001 792.686 285.439 0.00008561209 0.00023672104 0.0000960327 0.0000960350 202814.530 201930.930 202493.135 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000232 792.278 285.334 0.00008515317 0.00023733722 0.0000956414 0.0000964195 202448.472 201574.450 202126.506 0.06809 -0.31368 -0.00448 0.0002584089 -0.00170 2.003 0.000464 791.885 285.233 0.00008469185 0.00023794977 0.0000952417 0.0000967988 202096.417 201232.110 201773.966 0.13639 -0.62788 -0.00880 0.0002583885 -0.00615 3.001 0.000695 791.511 285.139 0.00008423217 0.00023855334 0.0000948372 0.0000971694 201761.370 200906.826 201438.522 0.20429 -0.93986 -0.01290 0.0002583546 -0.01330 4.003 0.000927 791.152 285.051 0.00008377021 0.00023915311 0.0000944245 0.0000975345 201440.397 200595.748 201117.239 0.27236 -1.25226 -0.01683 0.0002583070 -0.02319 5.001 0.001158 790.811 284.968 0.00008331004 0.00023974385 0.0000940073 0.0000978908 201136.237 200301.524 200812.855 0.33999 -1.56235 -0.02056 0.0002582461 -0.03574 6.003 0.001390 790.486 284.892 0.00008284773 0.00024033063 0.0000935821 0.0000982413 200846.228 200021.574 200522.705 0.40776 -1.87279 -0.02410 0.0002581714 -0.05104 7.001 0.001621 790.179 284.821 0.00008238733 0.00024090832 0.0000931527 0.0000985828 200572.842 199758.282 200249.263 0.47507 -2.18085 -0.02745 0.0002580836 -0.06894 8.004 0.001853 789.888 284.756 0.00008192493 0.00024148188 0.0000927156 0.0000989182 200313.684 199509.336 199990.134 0.54248 -2.48916 -0.03062 0.0002579818 -0.08959 9.001 0.002084 789.615 284.697 0.00008146458 0.00024204630 0.0000922746 0.0000992445 200070.963 199276.854 199747.525 0.60940 -2.79502 -0.03359 0.0002578671 -0.11281 10.004 0.002316 789.358 284.644 0.00008100236 0.00024260642 0.0000918260 0.0000995645 199842.554 199058.796 199519.309 0.67639 -3.10105 -0.03638 0.0002577385 -0.13877 11.002 0.002547 789.119 284.596 0.00008054231 0.00024315735 0.0000913738 0.0000998752 199630.401 198857.014 199307.432 0.74285 -3.40456 -0.03897 0.0002575970 -0.16725 12.004 0.002779 788.896 284.555 0.00008008052 0.00024370381 0.0000909143 0.0001001793 199432.644 198669.737 199110.033 0.80935 -3.70815 -0.04139 0.0002574416 -0.19848 13.002 0.003010 788.691 284.519 0.00007962104 0.00024424103 0.0000904516 0.0001004740 199250.969 198498.553 198928.795 0.87529 -4.00915 -0.04360 0.0002572737 -0.23217 14.004 0.003242 788.502 284.488 0.00007915995 0.00024477362 0.0000899818 0.0001007619 199083.781 198341.958 198762.127 0.94123 -4.31014 -0.04564 0.0002570917 -0.26861 15.002 0.003473 788.332 284.464 0.00007870129 0.00024529691 0.0000895091 0.0001010403 198932.503 198201.281 198611.446 1.00659 -4.60848 -0.04749 0.0002568974 -0.30748 16.004 0.003705 788.177 284.445 0.00007824116 0.00024581539 0.0000890295 0.0001013116 198795.808 198075.282 198475.429 1.07191 -4.90671 -0.04915 0.0002566891 -0.34908 17.002 0.003936 788.040 284.432 0.00007778357 0.00024632454 0.0000885473 0.0001015734 198674.857 197965.030 198355.234 1.13662 -5.20223 -0.05062 0.0002564687 -0.39306 18.004 0.004168 787.920 284.425 0.00007732464 0.00024682869 0.0000880585 0.0001018278 198568.590 197869.551 198249.803 1.20125 -5.49756 -0.05191 0.0002562344 -0.43978 19.002 0.004399 787.818 284.423 0.00007686839 0.00024732346 0.0000875675 0.0001020726 198477.908 197789.653 198160.032 1.26524 -5.79011 -0.05301 0.0002559881 -0.48882 20.000 0.004630 787.732 284.428 0.00007641288 0.00024781096 0.0000870724 0.0001023087 198402.309 197724.877 198085.421 1.32885 -6.08112 -0.05392 0.0002557291 -0.54037 21.002 0.004862 787.663 284.437 0.00007595624 0.00024829322 0.0000865710 0.0001025372 198341.553 197675.025 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0.00010746789 0.00019607992 0.0001048723 0.0000688331 246434.431 245328.100 246286.036 4.29189 16.79046 3.48608 0.0002400535 0.61932 307.004 0.071066 836.717 299.642 0.00010716495 0.00019691600 0.0001049537 0.0000693781 245197.090 244086.085 245043.175 4.34440 16.51302 3.47087 0.0002406798 0.77270 308.002 0.071297 835.531 299.216 0.00010685728 0.00019774796 0.0001050253 0.0000699220 243980.293 242865.110 243820.929 4.39724 16.23407 3.45592 0.0002412954 0.92265 309.004 0.071529 834.351 298.795 0.00010654236 0.00019858281 0.0001050877 0.0000704695 242773.633 241654.725 242608.850 4.45088 15.95128 3.44109 0.0002419052 1.07047 310.002 0.071760 833.188 298.381 0.00010622306 0.00019941314 0.0001051402 0.0000710156 241587.634 240465.476 241417.512 4.50485 15.66721 3.42652 0.0002425038 1.21486 311.004 0.071992 832.030 297.971 0.00010589676 0.00020024596 0.0001051834 0.0000715649 240412.138 239287.169 240236.716 4.55960 15.37948 3.41207 0.0002430963 1.35705 312.002 0.072223 830.889 297.569 0.00010556641 0.00020107388 0.0001052169 0.0000721125 239257.380 238130.057 239076.747 4.61466 15.09068 3.39788 0.0002436774 1.49581 313.004 0.072455 829.755 297.171 0.00010522930 0.00020190391 0.0001052409 0.0000726630 238113.457 236984.207 237927.661 4.67050 14.79839 3.38383 0.0002442519 1.63232 314.002 0.072686 828.638 296.780 0.00010488846 0.00020272870 0.0001052552 0.0000732114 236990.318 235859.575 236799.454 4.72663 14.50524 3.37003 0.0002448147 1.76540 315.004 0.072918 827.528 296.394 0.00010454108 0.00020355523 0.0001052600 0.0000737624 235878.317 234746.495 235682.441 4.78353 14.20878 3.35636 0.0002453704 1.89619 316.002 0.073149 826.435 296.016 0.00010419030 0.00020437620 0.0001052552 0.0000743110 234787.112 233654.624 234586.325 4.84070 13.91165 3.34295 0.0002459142 2.02356 317.000 0.073380 825.354 295.644 0.00010383476 0.00020519501 0.0001052408 0.0000748595 233711.939 232579.186 233506.324 4.89838 13.61266 3.32974 0.0002464483 2.14805 318.002 0.073612 824.282 295.276 0.00010347302 0.00020601505 0.0001052168 0.0000754099 232648.308 231515.679 232437.929 4.95681 13.31061 3.31667 0.0002469747 2.27020 319.000 0.073843 823.227 294.916 0.00010310833 0.00020682908 0.0001051833 0.0000759575 231605.439 230473.316 231390.404 5.01548 13.00817 3.30386 0.0002474888 2.38893 320.003 0.074075 822.181 294.560 0.00010273767 0.00020764400 0.0001051400 0.0000765068 230574.348 229443.109 230354.728 5.07489 12.70281 3.29119 0.0002479949 2.50526 321.000 0.074306 821.152 294.212 0.00010236435 0.00020845266 0.0001050874 0.0000770530 229563.965 228433.968 229339.871 5.13451 12.39725 3.27877 0.0002484884 2.61820 322.003 0.074538 820.133 293.869 0.00010198526 0.00020926190 0.0001050250 0.0000776004 228565.576 227437.184 228337.083 5.19486 12.08892 3.26650 0.0002489734 2.72871 323.001 0.074769 819.131 293.533 0.00010160380 0.00021006461 0.0001049534 0.0000781443 227587.817 226461.368 227355.038 5.25540 11.78056 3.25449 0.0002494457 2.83583 324.003 0.075001 818.139 293.202 0.00010121679 0.00021086762 0.0001048719 0.0000786893 226622.247 225498.087 226385.261 5.31665 11.46958 3.24263 0.0002499092 2.94049 325.001 0.075232 817.166 292.878 0.00010082767 0.00021166387 0.0001047814 0.0000792304 225677.209 224555.656 225436.132 5.37806 11.15874 3.23102 0.0002503598 3.04179 326.003 0.075464 816.202 292.559 0.00010043321 0.00021246013 0.0001046809 0.0000797722 224744.537 223625.922 224499.450 5.44017 10.84541 3.21956 0.0002508011 3.14059 327.001 0.075695 815.256 292.248 0.00010003691 0.00021324942 0.0001045715 0.0000803098 223832.281 222716.902 223583.301 5.50241 10.53237 3.20835 0.0002512293 3.23604 328.003 0.075927 814.321 291.942 0.00009963546 0.00021403845 0.0001044523 0.0000808477 222932.550 221820.722 222679.761 5.56532 10.21699 3.19730 0.0002516480 3.32898 329.001 0.076158 813.404 291.643 0.00009923243 0.00021482031 0.0001043242 0.0000813812 222053.102 220945.105 221796.622 5.62835 9.90206 3.18649 0.0002520534 3.41859 330.003 0.076390 812.498 291.349 0.00009882445 0.00021560165 0.0001041862 0.0000819146 221186.324 220082.458 220926.238 5.69203 9.58491 3.17585 0.0002524488 3.50566 331.001 0.076621 811.610 291.062 0.00009841513 0.00021637563 0.0001040395 0.0000824433 220339.683 219240.207 220076.109 5.75580 9.26835 3.16545 0.0002528308 3.58943 332.004 0.076853 810.733 290.780 0.00009800105 0.00021714886 0.0001038830 0.0000829716 219505.843 218411.044 219238.868 5.82019 8.94971 3.15520 0.0002532026 3.67063 333.001 0.077084 809.875 290.506 0.00009758587 0.00021791456 0.0001037180 0.0000834948 218691.980 217602.099 218421.722 5.88464 8.63179 3.14521 0.0002535609 3.74856 334.004 0.077316 809.029 290.236 0.00009716611 0.00021867926 0.0001035432 0.0000840173 217891.036 216806.347 217617.584 5.94970 8.31191 3.13537 0.0002539085 3.82389 335.002 0.077547 808.201 289.974 0.00009674549 0.00021943628 0.0001033600 0.0000845345 217109.901 216030.625 216833.371 6.01478 7.99289 3.12578 0.0002542425 3.89599 336.004 0.077779 807.385 289.717 0.00009632046 0.00022019207 0.0001031670 0.0000850506 216341.793 215268.192 216062.274 6.08045 7.67203 3.11635 0.0002545656 3.96548 337.002 0.078010 806.588 289.467 0.00009589480 0.00022094004 0.0001029659 0.0000855610 215593.313 214525.592 215310.921 6.14612 7.35216 3.10715 0.0002548750 4.03175 338.004 0.078242 805.803 289.222 0.00009546490 0.00022168656 0.0001027550 0.0000860701 214857.961 213796.367 214572.786 6.21234 7.03056 3.09812 0.0002551731 4.09540 339.002 0.078473 805.037 288.984 0.00009503458 0.00022242512 0.0001025362 0.0000865732 214142.050 213086.773 213854.206 6.27854 6.71008 3.08933 0.0002554575 4.15586 340.004 0.078705 804.283 288.752 0.00009460020 0.00022316203 0.0001023077 0.0000870746 213439.357 212390.633 213148.935 6.34527 6.38798 3.08071 0.0002557303 4.21368 341.002 0.078936 803.548 288.526 0.00009416560 0.00022389086 0.0001020715 0.0000875698 212755.913 211713.914 212463.024 6.41194 6.06710 3.07232 0.0002559893 4.26836 342.004 0.079168 802.826 288.306 0.00009372711 0.00022461783 0.0001018256 0.0000880629 212085.772 211050.723 211790.507 6.47911 5.74473 3.06409 0.0002562365 4.32037 343.002 0.079399 802.123 288.093 0.00009328860 0.00022533661 0.0001015722 0.0000885495 211434.680 210406.740 211137.150 6.54619 5.42368 3.05610 0.0002564697 4.36928 344.000 0.079630 801.435 287.885 0.00009284827 0.00022605025 0.0001013105 0.0000890316 210799.685 209779.034 210499.989 6.61346 5.10264 3.04830 0.0002566901 4.41532 345.002 0.079862 800.761 287.683 0.00009240429 0.00022676175 0.0001010391 0.0000895112 210178.109 209164.957 209876.337 6.68119 4.78026 3.04067 0.0002568983 4.45867 346.000 0.080093 800.106 287.488 0.00009196058 0.00022746489 0.0001007607 0.0000899839 209575.279 208569.763 209271.539 6.74879 4.45937 3.03327 0.0002570926 4.49898 347.003 0.080325 799.464 287.298 0.00009151338 0.00022816571 0.0001004727 0.0000904537 208985.941 207988.259 208680.324 6.81682 4.13724 3.02604 0.0002572744 4.53659 348.000 0.080556 798.841 287.115 0.00009106662 0.00022885807 0.0001001780 0.0000909164 208415.143 207425.420 208107.753 6.88468 3.81671 3.01904 0.0002574424 4.57118 349.003 0.080788 798.232 286.937 0.00009061652 0.00022954792 0.0000998738 0.0000913759 207857.908 206876.331 207548.834 6.95295 3.49504 3.01220 0.0002575977 4.60307 350.001 0.081019 797.641 286.766 0.00009016705 0.00023022923 0.0000995631 0.0000918280 207319.004 206345.687 207008.351 7.02102 3.17506 3.00559 0.0002577391 4.63199 351.003 0.081251 797.065 286.601 0.00008971440 0.00023090785 0.0000992431 0.0000922766 206793.731 205828.853 206481.587 7.08947 2.85405 2.99914 0.0002578676 4.65819 352.001 0.081482 796.507 286.442 0.00008926253 0.00023157786 0.0000989167 0.0000927176 206286.582 205330.243 205973.047 7.15769 2.53481 2.99292 0.0002579823 4.68146 353.003 0.081714 795.964 286.288 0.00008880763 0.00023224499 0.0000985813 0.0000931547 205793.129 204845.501 205478.294 7.22626 2.21464 2.98687 0.0002580840 4.70201 354.001 0.081945 795.439 286.141 0.00008835368 0.00023290343 0.0000982397 0.0000935840 205317.593 204378.766 205001.555 7.29456 1.89633 2.98104 0.0002581718 4.71967 355.003 0.082177 794.929 285.999 0.00008789684 0.00023355883 0.0000978892 0.0000940092 204855.821 203925.957 204538.667 7.36318 1.57718 2.97538 0.0002582464 4.73459 356.001 0.082408 794.437 285.864 0.00008744112 0.00023420548 0.0000975329 0.0000944264 204411.758 203490.937 204093.586 7.43151 1.25999 2.96993 0.0002583073 4.74667 357.003 0.082640 793.960 285.734 0.00008698265 0.00023484890 0.0000971678 0.0000948390 203981.525 203069.901 203662.421 7.50012 0.94204 2.96466 0.0002583548 4.75601 358.001 0.082871 793.502 285.611 0.00008652545 0.00023548351 0.0000967971 0.0000952435 203568.796 202666.442 203248.856 7.56841 0.62614 2.95960 0.0002583886 4.76255 359.004 0.083103 793.058 285.493 0.00008606563 0.00023611473 0.0000964178 0.0000956432 203169.965 202277.026 202849.274 7.63696 0.30957 2.95471 0.0002584090 4.76634 360.001 0.083334 792.634 285.382 0.00008560724 0.00023673706 0.0000960333 0.0000960345 202788.437 201904.975 202467.087 7.70514 -0.00487 2.95003 0.0002584157 4.76737 Engine speed (Hz) = 12.0000000000 Output power (W) = 57.2084772475 Heat into heater (W) = 92.4617186903 Heat to regenerator (W) = -0.0584941589 Heat removal from cooler (W) = 35.4004098319 Approximate Pumping loss (W) = -1.5843426542 Thermal efficiency (%) = 61.8726085323 The average engine pressure (Pa) = 271742.4029591089 The exp space work per cycle (J) = 7.7059174749 The comp space work per cycle (J) = -2.9385443710 The net work per cycle (J) = 4.7673731040 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6252712614 The expansion work for Vmin-to-Vmax (J) = 26.3926443654 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000000 792.859 285.455 0.00008563882 0.00023667000 0.0000960330 0.0000960347 202921.370 201899.405 202549.790 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.004 0.000214 792.448 285.350 0.00008517799 0.00023728896 0.0000956403 0.0000964206 202553.412 201542.533 202181.161 0.06831 -0.31503 -0.00451 0.0002584089 -0.00176 2.001 0.000427 792.057 285.250 0.00008471888 0.00023789878 0.0000952427 0.0000967979 202202.647 201202.911 201829.829 0.13621 -0.62775 -0.00881 0.0002583886 -0.00624 3.002 0.000641 791.681 285.156 0.00008425726 0.00023850511 0.0000948368 0.0000971698 201865.750 200877.317 201492.463 0.20432 -0.94107 -0.01293 0.0002583546 -0.01347 4.004 0.000855 791.321 285.068 0.00008379536 0.00023910503 0.0000944244 0.0000975347 201544.372 200567.345 201170.717 0.27231 -1.25348 -0.01687 0.0002583070 -0.02341 5.000 0.001068 790.980 284.986 0.00008333539 0.00023969572 0.0000940076 0.0000978906 201239.880 200274.304 200865.957 0.33985 -1.56347 -0.02060 0.0002582462 -0.03599 6.002 0.001282 790.655 284.910 0.00008287312 0.00024028268 0.0000935827 0.0000982408 200949.384 199995.407 200575.291 0.40755 -1.87392 -0.02415 0.0002581715 -0.05133 7.003 0.001496 790.346 284.839 0.00008241076 0.00024086306 0.0000931518 0.0000985835 200674.323 199732.037 200300.157 0.47508 -2.18332 -0.02752 0.0002580834 -0.06935 8.000 0.001709 790.056 284.775 0.00008195055 0.00024143414 0.0000927170 0.0000989171 200415.847 199485.284 200041.707 0.54211 -2.49022 -0.03068 0.0002579822 -0.08994 9.002 0.001923 789.781 284.716 0.00008148823 0.00024200122 0.0000922744 0.0000992446 200171.505 199252.803 199797.486 0.60924 -2.79743 -0.03367 0.0002578671 -0.11329 10.003 0.002137 789.523 284.663 0.00008102602 0.00024256156 0.0000918261 0.0000995644 199942.521 199035.760 199568.719 0.67616 -3.10348 -0.03647 0.0002577385 -0.13928 11.000 0.002350 789.284 284.616 0.00008056615 0.00024311253 0.0000913745 0.0000998748 199729.834 198835.035 199356.344 0.74254 -3.40692 -0.03907 0.0002575972 -0.16778 12.002 0.002564 789.060 284.575 0.00008010437 0.00024365924 0.0000909153 0.0001001786 199531.425 198648.717 199158.342 0.80897 -3.71054 -0.04149 0.0002574420 -0.19903 13.003 0.002778 788.854 284.539 0.00007964290 0.00024419904 0.0000904509 0.0001004745 199348.308 198477.760 198975.726 0.87513 -4.01289 -0.04372 0.0002572734 -0.23290 14.000 0.002991 788.665 284.509 0.00007918397 0.00024472940 0.0000899836 0.0001007608 199181.211 198322.832 198809.221 0.94070 -4.31251 -0.04576 0.0002570925 -0.26919 15.002 0.003205 788.493 284.485 0.00007872332 0.00024525524 0.0000895092 0.0001010402 199028.548 198182.457 198657.245 1.00628 -4.61219 -0.04762 0.0002568975 -0.30824 16.003 0.003419 788.338 284.467 0.00007826317 0.00024577401 0.0000890300 0.0001013114 198891.120 198057.377 198520.597 1.07155 -4.91048 -0.04929 0.0002566894 -0.34986 17.005 0.003633 788.200 284.454 0.00007780359 0.00024628563 0.0000885461 0.0001015741 198768.913 197947.573 198399.260 1.13647 -5.20733 -0.05077 0.0002564682 -0.39405 18.001 0.003846 788.079 284.447 0.00007734679 0.00024678772 0.0000880600 0.0001018271 198662.375 197853.434 198293.680 1.20075 -5.50133 -0.05207 0.0002562351 -0.44056 19.003 0.004060 787.975 284.446 0.00007688854 0.00024728494 0.0000875672 0.0001020727 198570.494 197774.058 198202.852 1.26496 -5.79521 -0.05318 0.0002559880 -0.48983 20.004 0.004274 787.889 284.450 0.00007643105 0.00024777484 0.0000870702 0.0001023098 198493.793 197709.909 198127.294 1.32879 -6.08753 -0.05410 0.0002557280 -0.54162 21.001 0.004487 787.819 284.460 0.00007597651 0.00024825514 0.0000865715 0.0001025370 198432.515 197661.166 198067.242 1.39192 -6.37692 -0.05484 0.0002554565 -0.59566 22.003 0.004701 787.767 284.476 0.00007552072 0.00024873028 0.0000860666 0.0001027565 198386.074 197627.358 198022.122 1.45494 -6.66603 -0.05539 0.0002551711 -0.65244 23.004 0.004915 787.731 284.498 0.00007506588 0.00024919794 0.0000855578 0.0001029672 198354.787 197608.740 197992.245 1.51752 -6.95348 -0.05575 0.0002548731 -0.71171 24.001 0.005128 787.713 284.525 0.00007461417 0.00024965591 0.0000850479 0.0001031680 198338.688 197605.282 197977.636 1.57937 -7.23789 -0.05593 0.0002545640 -0.77315 25.003 0.005342 787.712 284.557 0.00007416142 0.00025010845 0.0000845322 0.0001033608 198337.619 197616.945 197978.153 1.64104 -7.52190 -0.05593 0.0002542410 -0.83733 26.004 0.005556 787.728 284.596 0.00007370980 0.00025055331 0.0000840132 0.0001035446 198351.691 197643.772 197993.897 1.70223 -7.80412 -0.05573 0.0002539058 -0.90395 27.001 0.005769 787.760 284.640 0.00007326148 0.00025098842 0.0000834934 0.0001037185 198380.728 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295.283 0.00010350095 0.00020595386 0.0001052167 0.0000754105 232758.173 231450.537 232515.446 4.95260 13.31283 3.32559 0.0002469753 2.25695 319.000 0.068162 823.396 294.923 0.00010313687 0.00020676691 0.0001051833 0.0000759575 231716.915 230409.798 231468.803 5.01113 13.01083 3.31279 0.0002474888 2.37552 320.002 0.068376 822.351 294.568 0.00010276667 0.00020758118 0.0001051400 0.0000765065 230687.003 229380.839 230433.585 5.07042 12.70579 3.30013 0.0002479945 2.49173 321.003 0.068590 821.319 294.219 0.00010239218 0.00020839269 0.0001050872 0.0000770545 229673.404 228368.615 229414.785 5.13018 12.39922 3.28766 0.0002484898 2.60503 322.000 0.068803 820.306 293.877 0.00010201530 0.00020919754 0.0001050252 0.0000775990 228680.774 227377.763 228417.086 5.19013 12.09264 3.27546 0.0002489722 2.71491 323.002 0.069017 819.302 293.540 0.00010163263 0.00021000314 0.0001049533 0.0000781449 227699.822 226398.999 227431.151 5.25081 11.78324 3.26340 0.0002494463 2.82238 324.003 0.069231 818.311 293.209 0.00010124603 0.00021080558 0.0001048719 0.0000786895 226735.272 225437.027 226461.730 5.31194 11.47255 3.25154 0.0002499094 2.92692 325.000 0.069444 817.339 292.886 0.00010085747 0.00021160099 0.0001047814 0.0000792300 225791.536 224496.235 225513.257 5.37322 11.16210 3.23994 0.0002503594 3.02806 326.002 0.069658 816.376 292.568 0.00010046340 0.00021239674 0.0001046811 0.0000797714 224859.768 223567.795 224576.844 5.43520 10.84904 3.22848 0.0002508005 3.12675 327.003 0.069872 815.427 292.256 0.00010006578 0.00021318894 0.0001045713 0.0000803109 223944.447 222656.163 223656.995 5.49760 10.53491 3.21723 0.0002512302 3.22251 328.005 0.070086 814.493 291.949 0.00009966470 0.00021397749 0.0001044521 0.0000808485 223045.582 221761.337 222753.717 5.56040 10.21978 3.20618 0.0002516486 3.31533 329.001 0.070299 813.578 291.651 0.00009926218 0.00021475860 0.0001043241 0.0000813814 222167.260 220887.374 221871.120 5.62329 9.90521 3.19538 0.0002520535 3.40480 330.003 0.070513 812.673 291.357 0.00009885455 0.00021553952 0.0001041862 0.0000819144 221301.235 220026.058 221000.916 5.68685 9.58829 3.18474 0.0002524487 3.49176 331.005 0.070727 811.782 291.070 0.00009844380 0.00021631644 0.0001040390 0.0000824450 220451.664 219181.518 220147.285 5.75078 9.27059 3.17429 0.0002528321 3.57578 332.001 0.070940 810.911 290.790 0.00009803198 0.00021708566 0.0001038834 0.0000829705 219622.395 218357.567 219314.094 5.81476 8.95365 3.16410 0.0002532018 3.65649 333.003 0.071154 810.050 290.514 0.00009761533 0.00021785431 0.0001037178 0.0000834956 218805.634 217546.449 218493.509 5.87938 8.63456 3.15406 0.0002535614 3.73466 334.004 0.071368 809.204 290.245 0.00009719588 0.00021861866 0.0001035430 0.0000840177 218005.297 216752.050 217689.469 5.94432 8.31489 3.14423 0.0002539088 3.80989 335.001 0.071581 808.378 289.983 0.00009677571 0.00021937507 0.0001033601 0.0000845343 217224.997 215977.942 216905.600 6.00928 7.99618 3.13464 0.0002542424 3.88186 336.003 0.071795 807.562 289.727 0.00009635097 0.00022013057 0.0001031672 0.0000850500 216457.388 215216.829 216134.524 6.07483 7.67550 3.12520 0.0002545653 3.95125 337.004 0.072009 806.763 289.476 0.00009592374 0.00022088148 0.0001029654 0.0000855623 215706.152 214472.358 215379.942 6.14068 7.35442 3.11597 0.0002548757 4.01771 338.001 0.072222 805.982 289.233 0.00009549612 0.00022162426 0.0001027556 0.0000860686 214974.664 213747.859 214645.240 6.20649 7.03449 3.10699 0.0002551723 4.08097 339.003 0.072436 805.213 288.994 0.00009506420 0.00022236578 0.0001025361 0.0000865736 214256.032 213036.500 213923.497 6.27286 6.71278 3.09816 0.0002554577 4.14161 340.004 0.072650 804.460 288.762 0.00009463007 0.00022310247 0.0001023077 0.0000870746 213553.703 212341.687 213218.176 6.33948 6.39083 3.08953 0.0002557303 4.19933 341.001 0.072863 803.726 288.537 0.00009419586 0.00022383083 0.0001020718 0.0000875692 212870.819 211666.515 212532.429 6.40602 6.07021 3.08114 0.0002559890 4.25390 342.003 0.073077 803.004 288.317 0.00009375761 0.00022455762 0.0001018261 0.0000880620 212200.938 211004.611 211859.790 6.47309 5.74798 3.07291 0.0002562360 4.30583 343.004 0.073291 802.298 288.103 0.00009331741 0.00022527934 0.0001015718 0.0000885504 211547.276 210359.146 211203.486 6.54036 5.42567 3.06488 0.0002564702 4.35487 344.001 0.073504 801.612 287.897 0.00009287745 0.00022599257 0.0001013103 0.0000890320 210912.744 209732.982 210566.439 6.60750 5.10487 3.05709 0.0002566902 4.40080 345.002 0.073718 800.938 287.695 0.00009243367 0.00022670393 0.0001010391 0.0000895112 210291.351 209120.203 209942.635 6.67514 4.78260 3.04946 0.0002568983 4.44407 346.004 0.073932 800.280 287.499 0.00009198822 0.00022741000 0.0001007596 0.0000899856 209686.082 208523.747 209335.070 6.74292 4.46043 3.04203 0.0002570932 4.48446 347.001 0.074145 799.642 287.311 0.00009154329 0.00022810744 0.0001004733 0.0000904528 209099.620 207946.246 208746.436 6.81054 4.13990 3.03483 0.0002572741 4.52182 348.002 0.074359 799.016 287.127 0.00009109477 0.00022880272 0.0001001774 0.0000909172 208526.425 207382.240 208171.171 6.87860 3.81808 3.02779 0.0002574426 4.55648 349.004 0.074573 798.407 286.950 0.00009064483 0.00022949250 0.0000998735 0.0000913763 207969.252 206834.435 207612.041 6.94678 3.49649 3.02095 0.0002575979 4.58830 350.001 0.074786 797.817 286.779 0.00009019568 0.00023017352 0.0000995631 0.0000918280 207430.560 206305.239 207071.512 7.01473 3.17671 3.01434 0.0002577391 4.61713 351.002 0.075000 797.241 286.614 0.00008974316 0.00023085211 0.0000992433 0.0000922762 206905.256 205789.642 206544.472 7.08309 2.85576 3.00789 0.0002578676 4.64326 352.004 0.075214 796.681 286.455 0.00008928948 0.00023152499 0.0000989158 0.0000927188 206395.870 205290.125 206033.462 7.15151 2.53521 3.00164 0.0002579826 4.66656 353.001 0.075427 796.140 286.302 0.00008883683 0.00023218901 0.0000985821 0.0000931536 205904.636 204808.868 205540.720 7.21967 2.21659 2.99561 0.0002580837 4.68694 354.002 0.075641 795.613 286.155 0.00008838104 0.00023285033 0.0000982394 0.0000935845 205426.909 204341.314 205061.585 7.28818 1.89696 2.98975 0.0002581719 4.70461 355.004 0.075855 795.103 286.014 0.00008792431 0.00023350576 0.0000978891 0.0000940093 204964.995 203889.718 204598.372 7.35671 1.57786 2.98408 0.0002582465 4.71947 356.000 0.076068 794.611 285.879 0.00008746886 0.00023415221 0.0000975332 0.0000944261 204520.908 203456.040 204153.097 7.42493 1.26082 2.97863 0.0002583073 4.73148 357.002 0.076282 794.134 285.750 0.00008701048 0.00023479571 0.0000971683 0.0000948384 204090.444 203036.168 203721.546 7.49346 0.94291 2.97336 0.0002583548 4.74077 358.003 0.076496 793.674 285.626 0.00008655139 0.00023543313 0.0000967963 0.0000952444 203675.690 202632.136 203305.811 7.56196 0.62566 2.96827 0.0002583887 4.74728 359.000 0.076709 793.232 285.509 0.00008609380 0.00023606150 0.0000964191 0.0000956419 203278.442 202245.684 202907.690 7.63010 0.31060 2.96340 0.0002584090 4.75100 360.002 0.076923 792.806 285.398 0.00008563350 0.00023668664 0.0000960331 0.0000960346 202894.937 201873.144 202523.410 7.69850 -0.00519 2.95870 0.0002584157 4.75199 Engine speed (Hz) = 13.0000000000 Output power (W) = 61.7757838434 Heat into heater (W) = 100.0805116537 Heat to regenerator (W) = -0.0674830776 Heat removal from cooler (W) = 38.4630788198 Approximate Pumping loss (W) = -1.9821076314 Thermal efficiency (%) = 61.7260871499 The average engine pressure (Pa) = 271762.7158816378 The exp space work per cycle (J) = 7.6991144735 The comp space work per cycle (J) = -2.9471311010 The net work per cycle (J) = 4.7519833726 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6343352383 The expansion work for Vmin-to-Vmax (J) = 26.3863186109 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.005 0.000001 793.041 285.472 0.00008566562 0.00023661789 0.0000960319 0.0000960358 203033.859 201864.374 202608.797 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000199 792.631 285.367 0.00008520616 0.00023723521 0.0000956405 0.0000964204 202666.615 201509.729 202240.776 0.06803 -0.31412 -0.00450 0.0002584089 -0.00182 2.001 0.000397 792.239 285.268 0.00008474628 0.00023784629 0.0000952426 0.0000967980 202314.822 201170.663 201888.321 0.13597 -0.62742 -0.00881 0.0002583886 -0.00636 3.004 0.000596 791.862 285.174 0.00008428370 0.00023845410 0.0000948360 0.0000971705 201976.790 200845.547 201549.741 0.20415 -0.94142 -0.01296 0.0002583545 -0.01365 4.002 0.000794 791.503 285.087 0.00008382316 0.00023905248 0.0000944251 0.0000975340 201655.887 200537.614 201228.408 0.27187 -1.25294 -0.01689 0.0002583071 -0.02361 5.005 0.000993 791.159 285.005 0.00008336006 0.00023964742 0.0000940058 0.0000978921 201348.842 200243.719 200921.044 0.33980 -1.56508 -0.02065 0.0002582459 -0.03633 6.003 0.001191 790.834 284.929 0.00008289914 0.00024023289 0.0000935824 0.0000982410 201058.714 199966.784 200630.712 0.40723 -1.87466 -0.02420 0.0002581715 -0.05167 7.001 0.001389 790.526 284.859 0.00008243813 0.00024081182 0.0000931531 0.0000985826 200783.892 199705.262 200355.798 0.47449 -2.18321 -0.02756 0.0002580836 -0.06968 8.004 0.001588 790.233 284.795 0.00008197476 0.00024138706 0.0000927156 0.0000989182 200523.080 199457.917 200095.005 0.54190 -2.49224 -0.03075 0.0002579818 -0.09046 9.001 0.001786 789.958 284.736 0.00008151377 0.00024195275 0.0000922746 0.0000992445 200278.873 199227.207 199850.928 0.60878 -2.79861 -0.03374 0.0002578671 -0.11378 10.004 0.001985 789.700 284.683 0.00008105057 0.00024251455 0.0000918256 0.0000995647 200048.781 199010.773 199621.076 0.67577 -3.10536 -0.03655 0.0002577384 -0.13987 11.002 0.002183 789.459 284.637 0.00008058986 0.00024306677 0.0000913735 0.0000998754 199835.092 198810.762 199407.736 0.74219 -3.40939 -0.03916 0.0002575969 -0.16846 12.000 0.002381 789.235 284.596 0.00008012940 0.00024361218 0.0000909160 0.0001001782 199636.591 198626.023 199209.691 0.80837 -3.71219 -0.04158 0.0002574422 -0.19965 13.003 0.002580 789.028 284.560 0.00007966692 0.00024415345 0.0000904509 0.0001004745 199452.370 198455.715 199026.037 0.87461 -4.01525 -0.04383 0.0002572734 -0.23362 14.001 0.002778 788.838 284.531 0.00007920713 0.00024468506 0.0000899831 0.0001007611 199284.261 198301.525 198858.598 0.94024 -4.31547 -0.04588 0.0002570923 -0.27000 15.004 0.002977 788.665 284.507 0.00007874546 0.00024521233 0.0000895080 0.0001010409 199130.547 198161.874 198705.665 1.00589 -4.61586 -0.04775 0.0002568970 -0.30917 16.002 0.003175 788.509 284.489 0.00007828661 0.00024572991 0.0000890305 0.0001013111 198992.756 198038.145 198568.756 1.07091 -4.91335 -0.04942 0.0002566896 -0.35069 17.005 0.003374 788.370 284.477 0.00007782601 0.00024624296 0.0000885459 0.0001015741 198869.482 197929.068 198446.474 1.13591 -5.21091 -0.05092 0.0002564681 -0.39500 18.003 0.003572 788.248 284.470 0.00007736834 0.00024674629 0.0000880593 0.0001018274 198761.948 197835.722 198340.032 1.20025 -5.50551 -0.05222 0.0002562347 -0.44162 19.001 0.003770 788.144 284.469 0.00007691137 0.00024724241 0.0000875683 0.0001020722 198669.486 197757.505 198248.764 1.26422 -5.79862 -0.05334 0.0002559885 -0.49076 20.004 0.003969 788.056 284.474 0.00007645285 0.00024773373 0.0000870706 0.0001023096 198591.729 197694.119 198172.311 1.32813 -6.09165 -0.05427 0.0002557282 -0.54267 21.002 0.004167 787.985 284.485 0.00007599744 0.00024821525 0.0000865713 0.0001025371 198529.451 197646.190 198111.433 1.39132 -6.38164 -0.05502 0.0002554564 -0.59682 22.005 0.004366 787.932 284.501 0.00007554062 0.00024869177 0.0000860656 0.0001027569 198482.012 197613.219 198065.504 1.45442 -6.67146 -0.05558 0.0002551706 -0.65374 23.003 0.004564 787.895 284.523 0.00007508704 0.00024915845 0.0000855588 0.0001029668 198449.884 197595.528 198034.979 1.51677 -6.95817 -0.05595 0.0002548736 -0.71284 24.000 0.004762 787.876 284.550 0.00007463446 0.00024961763 0.0000850483 0.0001031679 198432.783 197592.902 198019.582 1.57867 -7.24318 -0.05614 0.0002545642 -0.77440 25.003 0.004961 787.874 284.583 0.00007418067 0.00025007152 0.0000845318 0.0001033610 198430.733 197605.435 198019.346 1.64043 -7.52789 -0.05614 0.0002542408 -0.83872 26.001 0.005159 787.888 284.622 0.00007373029 0.00025051550 0.0000840147 0.0001035441 198443.752 197632.994 198034.269 1.70139 -7.80939 -0.05596 0.0002539068 -0.90514 27.004 0.005358 787.920 284.666 0.00007327884 0.00025095399 0.0000834917 0.0001037190 198471.970 197675.851 198064.501 1.76217 -8.09048 -0.05559 0.0002535588 -0.97433 28.002 0.005556 787.969 284.716 0.00007283091 0.00025138251 0.0000829685 0.0001038840 198515.103 197733.573 198109.737 1.82213 -8.36831 -0.05504 0.0002532005 -1.04557 29.000 0.005754 788.035 284.771 0.00007238431 0.00025180322 0.0000824425 0.0001040398 198573.257 197806.333 198170.092 1.88156 -8.64425 -0.05430 0.0002528302 -1.11918 30.003 0.005953 788.118 284.833 0.00007193684 0.00025221813 0.0000819111 0.0001041871 198646.843 197894.611 198245.989 1.94075 -8.91964 -0.05337 0.0002524462 -1.19555 31.001 0.006151 788.218 284.899 0.00007149307 0.00025262300 0.0000813799 0.0001043245 198735.125 197997.522 198336.669 1.99908 -9.19167 -0.05226 0.0002520524 -1.27389 32.004 0.006350 788.335 284.971 0.00007104858 0.00025302186 0.0000808438 0.0001044532 198839.002 198116.105 198443.052 2.05712 -9.46304 -0.05096 0.0002516450 -1.35497 33.002 0.006548 788.469 285.049 0.00007060791 0.00025341062 0.0000803081 0.0001045719 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291.366 0.00009888594 0.00021547459 0.0001041861 0.0000819150 221422.192 219964.780 221079.104 5.68119 9.59252 3.19418 0.0002524491 3.47709 331.002 0.065675 811.971 291.079 0.00009847672 0.00021624887 0.0001040394 0.0000824437 220575.779 219124.025 220228.049 5.74481 9.27596 3.18377 0.0002528311 3.56076 332.005 0.065874 811.094 290.798 0.00009806242 0.00021702299 0.0001038828 0.0000829724 219741.514 218295.804 219389.253 5.80911 8.95706 3.17351 0.0002532032 3.64192 333.003 0.066072 810.237 290.524 0.00009764728 0.00021778905 0.0001037178 0.0000834956 218927.773 217488.421 218571.138 5.87343 8.63911 3.16350 0.0002535614 3.71975 334.001 0.066270 809.395 290.256 0.00009722936 0.00021855088 0.0001035437 0.0000840159 218130.309 216697.650 217769.436 5.93807 8.32055 3.15369 0.0002539075 3.79467 335.004 0.066469 808.563 289.993 0.00009680661 0.00021931217 0.0001033596 0.0000845356 217345.204 215919.599 216980.208 6.00335 7.99985 3.14404 0.0002542432 3.86703 336.002 0.066667 807.751 289.737 0.00009638339 0.00022006519 0.0001031674 0.0000850495 216580.332 215162.060 216211.369 6.06861 7.68028 3.13463 0.0002545649 3.93611 337.005 0.066866 806.950 289.486 0.00009595551 0.00022081746 0.0001029653 0.0000855625 215827.948 214417.353 215455.133 6.13448 7.35868 3.12538 0.0002548758 4.00262 338.003 0.067064 806.169 289.243 0.00009552739 0.00022156132 0.0001027553 0.0000860694 215095.591 213692.931 214719.079 6.20029 7.03834 3.11638 0.0002551727 4.06589 339.000 0.067262 805.403 289.006 0.00009509697 0.00022230048 0.0001025366 0.0000865725 214379.417 212984.978 213999.343 6.26637 6.71770 3.10757 0.0002554571 4.12626 340.003 0.067461 804.649 288.774 0.00009466215 0.00022303855 0.0001023079 0.0000870742 213675.908 212290.011 213292.389 6.33302 6.39521 3.09893 0.0002557301 4.18402 341.001 0.067659 803.914 288.549 0.00009422740 0.00022376803 0.0001020717 0.0000875694 212992.107 211614.977 212605.294 6.39957 6.07416 3.09052 0.0002559891 4.23860 342.004 0.067858 803.191 288.329 0.00009378842 0.00022449622 0.0001018256 0.0000880629 212321.079 210953.023 211931.090 6.46668 5.75136 3.08227 0.0002562365 4.29055 343.002 0.068056 802.488 288.116 0.00009334971 0.00022521571 0.0001015722 0.0000885495 211669.541 210310.763 211276.523 6.53365 5.43011 3.07426 0.0002564697 4.33935 344.000 0.068254 801.801 287.909 0.00009290916 0.00022593011 0.0001013105 0.0000890316 211034.048 209684.793 210638.135 6.60081 5.10884 3.06646 0.0002566901 4.38528 345.003 0.068453 801.126 287.707 0.00009246461 0.00022664290 0.0001010389 0.0000895115 210411.483 209072.035 210012.792 6.66848 4.78598 3.05881 0.0002568985 4.42856 346.001 0.068651 800.470 287.513 0.00009202063 0.00022734684 0.0001007605 0.0000899842 209808.070 208478.607 209406.745 6.73597 4.46484 3.05139 0.0002570927 4.46876 347.004 0.068850 799.828 287.323 0.00009157282 0.00022804899 0.0001004723 0.0000904544 209217.682 207898.476 208813.841 6.80395 4.14221 3.04414 0.0002572747 4.50628 348.002 0.069048 799.204 287.141 0.00009112575 0.00022874221 0.0001001775 0.0000909170 208646.219 207337.431 208240.003 6.87172 3.82139 3.03712 0.0002574426 4.54077 349.005 0.069247 798.594 286.963 0.00009067500 0.00022943344 0.0000998732 0.0000913768 208087.875 206789.765 207679.402 6.93994 3.49919 3.03026 0.0002575980 4.57257 350.003 0.069445 798.003 286.793 0.00009022517 0.00023011566 0.0000995624 0.0000918290 207548.227 206260.939 207137.635 7.00792 3.17890 3.02363 0.0002577394 4.60137 351.001 0.069643 797.429 286.629 0.00008977410 0.00023079229 0.0000992438 0.0000922756 207024.396 205748.121 206611.812 7.07598 2.85894 3.01720 0.0002578674 4.62735 352.004 0.069842 796.868 286.469 0.00008931956 0.00023146665 0.0000989158 0.0000927188 206513.821 205248.801 206099.361 7.14446 2.53775 3.01093 0.0002579826 4.65063 353.002 0.070040 796.326 286.317 0.00008886621 0.00023213189 0.0000985818 0.0000931541 206021.599 204767.957 205605.397 7.21265 2.21861 3.00489 0.0002580838 4.67098 354.005 0.070239 795.798 286.170 0.00008840954 0.00023279467 0.0000982385 0.0000935856 205542.724 204300.690 205124.896 7.28122 1.89833 2.99901 0.0002581721 4.68861 355.002 0.070437 795.289 286.029 0.00008795423 0.00023344827 0.0000978895 0.0000940089 205081.974 203851.656 204662.651 7.34946 1.58018 2.99336 0.0002582464 4.70336 356.000 0.070635 794.797 285.895 0.00008749804 0.00023409597 0.0000975332 0.0000944261 204636.870 203418.427 204216.173 7.41771 1.26260 2.98790 0.0002583073 4.71533 357.003 0.070834 794.318 285.766 0.00008703876 0.00023474094 0.0000971678 0.0000948390 204205.246 202998.896 203783.291 7.48630 0.94403 2.98260 0.0002583548 4.72457 358.001 0.071032 793.859 285.643 0.00008658106 0.00023537664 0.0000967971 0.0000952435 203791.410 202597.239 203368.322 7.55452 0.62772 2.97752 0.0002583886 4.73099 359.004 0.071231 793.415 285.526 0.00008612041 0.00023600943 0.0000964176 0.0000956434 203391.145 202209.362 202967.040 7.62304 0.31050 2.97261 0.0002584090 4.73468 360.002 0.071429 792.989 285.415 0.00008566149 0.00023663290 0.0000960330 0.0000960347 203008.444 201839.123 202583.444 7.69116 -0.00437 2.96792 0.0002584157 4.73560 Engine speed (Hz) = 14.0000000000 Output power (W) = 66.2984090130 Heat into heater (W) = 107.6763008466 Heat to regenerator (W) = -0.0612213362 Heat removal from cooler (W) = 41.5509048981 Approximate Pumping loss (W) = -2.4388177449 Thermal efficiency (%) = 61.5719601173 The average engine pressure (Pa) = 271782.2522806813 The exp space work per cycle (J) = 7.6921457439 The comp space work per cycle (J) = -2.9565451001 The net work per cycle (J) = 4.7356006438 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6439739610 The expansion work for Vmin-to-Vmax (J) = 26.3795746048 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000000 793.236 285.490 0.00008569695 0.00023655868 0.0000960331 0.0000960346 203155.591 201829.363 202673.784 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000185 792.826 285.385 0.00008523671 0.00023717732 0.0000956414 0.0000964195 202787.249 201475.273 202304.544 0.06807 -0.31470 -0.00452 0.0002584089 -0.00187 2.005 0.000371 792.431 285.286 0.00008477353 0.00023779299 0.0000952408 0.0000967996 202432.506 201135.009 201949.033 0.13642 -0.63027 -0.00887 0.0002583885 -0.00650 3.004 0.000556 792.054 285.193 0.00008431247 0.00023839903 0.0000948359 0.0000971706 202095.146 200812.193 201611.041 0.20430 -0.94329 -0.01300 0.0002583545 -0.01383 4.003 0.000741 791.694 285.106 0.00008385112 0.00023899871 0.0000944245 0.0000975345 201773.192 200504.919 201288.585 0.27206 -1.25539 -0.01695 0.0002583070 -0.02387 5.002 0.000926 791.351 285.024 0.00008338953 0.00023959197 0.0000940069 0.0000978912 201466.615 200213.153 200981.635 0.33968 -1.56656 -0.02070 0.0002582461 -0.03660 6.001 0.001111 791.025 284.949 0.00008292778 0.00024017875 0.0000935830 0.0000982405 201175.387 199936.862 200690.163 0.40716 -1.87674 -0.02427 0.0002581716 -0.05201 7.000 0.001296 790.715 284.879 0.00008246593 0.00024075900 0.0000931532 0.0000985824 200899.482 199676.016 200414.142 0.47447 -2.18589 -0.02764 0.0002580837 -0.07009 8.005 0.001482 790.421 284.815 0.00008200156 0.00024133574 0.0000927151 0.0000989186 200637.506 199429.297 200152.176 0.54195 -2.49563 -0.03085 0.0002579817 -0.09096 9.004 0.001667 790.146 284.757 0.00008153972 0.00024190272 0.0000922736 0.0000992452 200392.252 199199.330 199907.058 0.60887 -2.80261 -0.03385 0.0002578668 -0.11437 10.003 0.001852 789.887 284.705 0.00008107799 0.00024246301 0.0000918265 0.0000995641 200162.246 198984.718 199677.314 0.67558 -3.10843 -0.03666 0.0002577386 -0.14041 11.002 0.002037 789.646 284.659 0.00008061643 0.00024301653 0.0000913738 0.0000998752 199947.466 198785.434 199462.918 0.74206 -3.41307 -0.03928 0.0002575970 -0.16909 12.001 0.002222 789.421 284.618 0.00008015510 0.00024356325 0.0000909158 0.0001001783 199747.890 198601.451 199263.851 0.80828 -3.71648 -0.04171 0.0002574422 -0.20037 13.005 0.002408 789.212 284.583 0.00007969159 0.00024410600 0.0000904501 0.0001004750 199562.543 198431.876 199079.138 0.87460 -4.02026 -0.04397 0.0002572731 -0.23445 14.004 0.002593 789.021 284.554 0.00007923093 0.00024463889 0.0000899818 0.0001007619 199393.398 198278.507 198910.746 0.94028 -4.32110 -0.04603 0.0002570917 -0.27094 15.003 0.002778 788.848 284.531 0.00007877070 0.00024516480 0.0000895085 0.0001010406 199239.401 198140.369 198757.622 1.00566 -4.62059 -0.04791 0.0002568972 -0.31000 16.002 0.002963 788.691 284.513 0.00007831097 0.00024568367 0.0000890305 0.0001013111 199100.534 198017.443 198619.748 1.07073 -4.91870 -0.04959 0.0002566896 -0.35163 17.001 0.003148 788.551 284.501 0.00007785180 0.00024619545 0.0000885478 0.0001015731 198976.783 197909.707 198497.110 1.13546 -5.21539 -0.05109 0.0002564690 -0.39581 18.005 0.003334 788.428 284.495 0.00007739078 0.00024670278 0.0000880580 0.0001018281 198867.588 197816.686 198389.153 1.20020 -5.51221 -0.05241 0.0002562341 -0.44279 19.004 0.003519 788.322 284.494 0.00007693292 0.00024720016 0.0000875665 0.0001020731 198774.111 197739.362 198297.025 1.26423 -5.80593 -0.05354 0.0002559876 -0.49204 20.003 0.003704 788.233 284.500 0.00007647581 0.00024769027 0.0000870707 0.0001023095 198695.711 197677.179 198220.093 1.32787 -6.09811 -0.05448 0.0002557283 -0.54381 21.002 0.003889 788.162 284.510 0.00007601952 0.00024817305 0.0000865710 0.0001025372 198632.381 197630.124 198158.346 1.39112 -6.38871 -0.05524 0.0002554562 -0.59807 22.001 0.004074 788.107 284.527 0.00007556410 0.00024864844 0.0000860673 0.0001027562 198584.111 197598.182 198111.776 1.45396 -6.67770 -0.05581 0.0002551715 -0.65482 23.000 0.004259 788.069 284.549 0.00007510962 0.00024911639 0.0000855599 0.0001029664 198550.895 197581.344 198080.374 1.51637 -6.96503 -0.05619 0.0002548743 -0.71403 24.005 0.004445 788.049 284.577 0.00007465370 0.00024957930 0.0000850461 0.0001031687 198532.670 197579.631 198064.090 1.57867 -7.25220 -0.05639 0.0002545628 -0.77605 25.004 0.004630 788.045 284.610 0.00007420130 0.00025003213 0.0000845316 0.0001033610 198529.628 197593.053 198063.093 1.64018 -7.53609 -0.05640 0.0002542407 -0.84017 26.003 0.004815 788.059 284.649 0.00007375003 0.00025047732 0.0000840139 0.0001035443 198541.629 197621.553 198077.251 1.70120 -7.81820 -0.05623 0.0002539063 -0.90672 27.002 0.005000 788.089 284.694 0.00007329995 0.00025091483 0.0000834931 0.0001037186 198568.670 197665.125 198106.564 1.76173 -8.09850 -0.05587 0.0002535597 -0.97569 28.001 0.005185 788.137 284.744 0.00007285113 0.00025134457 0.0000829692 0.0001038837 198610.753 197723.765 198151.031 1.82175 -8.37695 -0.05533 0.0002532010 -1.04705 29.005 0.005371 788.202 284.800 0.00007240122 0.00025176875 0.0000824398 0.0001040405 198668.230 197797.910 198211.017 1.88157 -8.65499 -0.05459 0.0002528283 -1.12120 30.004 0.005556 788.284 284.862 0.00007195512 0.00025218274 0.0000819105 0.0001041873 198740.485 197886.760 198285.881 1.94052 -8.92959 -0.05368 0.0002524458 -1.19732 31.003 0.005741 788.382 284.929 0.00007151046 0.00025258878 0.0000813788 0.0001043247 198827.792 197990.675 198375.908 1.99891 -9.20222 -0.05258 0.0002520516 -1.27580 32.002 0.005926 788.498 285.001 0.00007106732 0.00025298680 0.0000808447 0.0001044529 198930.159 198109.654 198481.104 2.05672 -9.47284 -0.05129 0.0002516457 -1.35661 33.001 0.006111 788.631 285.079 0.00007062576 0.00025337672 0.0000803085 0.0001045718 199047.591 198243.700 198601.477 2.11395 -9.74139 -0.04982 0.0002512283 -1.43974 34.000 0.006296 788.780 285.163 0.00007018584 0.00025375849 0.0000797703 0.0001046813 199180.100 198392.817 198737.036 2.17056 -10.00785 -0.04816 0.0002507996 -1.52518 35.005 0.006482 788.948 285.252 0.00006974527 0.00025413403 0.0000792274 0.0001047819 199328.534 198557.939 198888.648 2.22686 -10.27359 -0.04630 0.0002503573 -1.61338 36.004 0.006667 789.131 285.347 0.00006930884 0.00025449923 0.0000786857 0.0001048725 199491.310 198737.297 199054.693 2.28221 -10.53571 -0.04427 0.0002499062 -1.70339 37.003 0.006852 789.332 285.447 0.00006887426 0.00025485605 0.0000781425 0.0001049536 199669.200 198931.745 199235.960 2.33690 -10.79560 -0.04206 0.0002494442 -1.79565 38.002 0.007037 789.549 285.552 0.00006844159 0.00025520444 0.0000775980 0.0001050253 199862.217 199141.291 199432.462 2.39093 -11.05323 -0.03965 0.0002489713 -1.89015 39.001 0.007222 789.783 285.663 0.00006801089 0.00025554430 0.0000770523 0.0001050875 200070.380 199365.946 199644.218 2.44427 -11.30855 -0.03706 0.0002484878 -1.98687 40.005 0.007408 790.036 285.780 0.00006757992 0.00025587734 0.0000765026 0.0001051404 200294.954 199607.059 199872.512 2.49718 -11.56287 -0.03427 0.0002479910 -2.08634 41.004 0.007593 790.304 285.902 0.00006715339 0.00025619990 0.0000759551 0.0001051834 200533.544 199862.048 200114.908 2.54909 -11.81342 -0.03130 0.0002474865 -2.18746 42.003 0.007778 790.589 286.029 0.00006672903 0.00025651371 0.0000754069 0.0001052169 200787.337 200132.182 200372.614 2.60027 -12.06152 -0.02815 0.0002469718 -2.29075 43.002 0.007963 790.891 286.162 0.00006630692 0.00025681870 0.0000748582 0.0001052408 201056.356 200417.476 200645.651 2.65070 -12.30714 -0.02481 0.0002464471 -2.39619 44.001 0.008148 791.209 286.300 0.00006588713 0.00025711478 0.0000743092 0.0001052552 201340.624 200717.945 200934.042 2.70036 -12.55022 -0.02128 0.0002459124 -2.50376 45.005 0.008334 791.546 286.444 0.00006546748 0.00025740340 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0.00009382142 0.00022443056 0.0001018253 0.0000880634 212448.957 210898.800 212007.217 6.46025 5.75319 3.09215 0.0002562367 4.27430 343.004 0.063519 802.686 288.128 0.00009338213 0.00022515121 0.0001015717 0.0000885505 211796.509 210256.806 211351.314 6.52723 5.43148 3.08413 0.0002564702 4.32309 344.003 0.063704 801.998 287.921 0.00009294098 0.00022586677 0.0001013096 0.0000890332 211160.114 209631.143 210711.614 6.59440 5.10974 3.07630 0.0002566908 4.36901 345.002 0.063889 801.326 287.720 0.00009249806 0.00022657715 0.0001010391 0.0000895112 210539.742 209021.771 210088.086 6.66175 4.78803 3.06867 0.0002568983 4.41206 346.001 0.064074 800.669 287.526 0.00009205346 0.00022728230 0.0001007603 0.0000899844 209935.362 208428.650 209480.698 6.72925 4.46640 3.06124 0.0002570928 4.45224 347.000 0.064259 800.029 287.338 0.00009160726 0.00022798213 0.0001004734 0.0000904527 209346.941 207851.741 208889.417 6.79691 4.14490 3.05401 0.0002572741 4.48956 348.005 0.064445 799.402 287.154 0.00009115712 0.00022868032 0.0001001767 0.0000909184 208771.396 207288.013 208311.144 6.86506 3.82185 3.04694 0.0002574431 4.52421 349.004 0.064630 798.794 286.978 0.00009070797 0.00022936930 0.0000998735 0.0000913763 208214.882 206743.489 207752.063 6.93296 3.50076 3.04010 0.0002575979 4.55582 350.003 0.064815 798.202 286.808 0.00009025747 0.00023005275 0.0000995624 0.0000918290 207674.229 206215.052 207208.986 7.00096 3.17996 3.03345 0.0002577394 4.58460 351.002 0.065000 797.627 286.643 0.00008980571 0.00023073062 0.0000992434 0.0000922761 207149.401 205702.660 206681.880 7.06905 2.85948 3.02701 0.0002578675 4.61055 352.001 0.065185 797.067 286.485 0.00008935276 0.00023140284 0.0000989167 0.0000927176 206640.366 205206.272 206170.709 7.13721 2.53937 3.02075 0.0002579823 4.63368 353.005 0.065371 796.522 286.332 0.00008889624 0.00023207294 0.0000985805 0.0000931556 206144.466 204723.293 205672.804 7.20579 2.21797 3.01466 0.0002580842 4.65410 354.004 0.065556 795.995 286.186 0.00008844115 0.00023273364 0.0000982386 0.0000935854 205666.998 204258.875 205193.483 7.27404 1.89876 3.00880 0.0002581721 4.67160 355.003 0.065741 795.486 286.046 0.00008798510 0.00023338851 0.0000978892 0.0000940092 205205.221 203810.338 204729.993 7.34232 1.58006 3.00313 0.0002582464 4.68630 356.002 0.065926 794.992 285.911 0.00008752818 0.00023403747 0.0000975325 0.0000944268 204759.101 203377.642 204282.298 7.41060 1.26193 2.99765 0.0002583073 4.69822 357.001 0.066111 794.516 285.783 0.00008707045 0.00023468048 0.0000971686 0.0000948381 204328.604 202960.746 203850.363 7.47888 0.94440 2.99237 0.0002583547 4.70736 358.000 0.066296 794.055 285.660 0.00008661199 0.00023531748 0.0000967975 0.0000952431 203913.697 202559.611 203434.156 7.54713 0.62752 2.98728 0.0002583886 4.71374 359.005 0.066482 793.609 285.543 0.00008615040 0.00023595179 0.0000964174 0.0000956436 203512.231 202172.158 203031.519 7.61571 0.30963 2.98235 0.0002584090 4.71738 360.004 0.066667 793.183 285.433 0.00008569070 0.00023657653 0.0000960324 0.0000960353 203128.492 201802.515 202646.749 7.68387 -0.00582 2.97764 0.0002584157 4.71823 Engine speed (Hz) = 15.0000000000 Output power (W) = 70.7734784279 Heat into heater (W) = 115.2580567347 Heat to regenerator (W) = -0.0873490082 Heat removal from cooler (W) = 44.6646626273 Approximate Pumping loss (W) = -2.9581090431 Thermal efficiency (%) = 61.4043655020 The average engine pressure (Pa) = 271807.0704913249 The exp space work per cycle (J) = 7.6841605959 The comp space work per cycle (J) = -2.9659287007 The net work per cycle (J) = 4.7182318952 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6541865376 The expansion work for Vmin-to-Vmax (J) = 26.3724184328 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000001 793.440 285.508 0.00008572666 0.00023650070 0.0000960316 0.0000960361 203281.509 201789.540 202739.704 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000174 793.031 285.404 0.00008526727 0.00023711841 0.0000956408 0.0000964201 202913.450 201437.417 202370.622 0.06786 -0.31415 -0.00452 0.0002584089 -0.00194 2.004 0.000348 792.635 285.305 0.00008480477 0.00023773343 0.0000952411 0.0000967993 202558.762 201098.927 202015.055 0.13603 -0.62930 -0.00886 0.0002583885 -0.00662 3.001 0.000521 792.259 285.213 0.00008434455 0.00023833863 0.0000948372 0.0000971694 202221.494 200777.924 201677.061 0.20370 -0.94179 -0.01300 0.0002583546 -0.01399 4.003 0.000695 791.897 285.126 0.00008388137 0.00023894095 0.0000944245 0.0000975345 201897.716 200470.662 201352.701 0.27165 -1.25518 -0.01697 0.0002583070 -0.02412 5.005 0.000869 791.552 285.045 0.00008341794 0.00023953682 0.0000940055 0.0000978923 201589.396 200179.008 201043.944 0.33946 -1.56762 -0.02074 0.0002582459 -0.03696 6.002 0.001042 791.226 284.970 0.00008295701 0.00024012281 0.0000935827 0.0000982408 201298.143 199904.470 200752.403 0.40673 -1.87729 -0.02431 0.0002581715 -0.05240 7.004 0.001216 790.915 284.900 0.00008249331 0.00024070565 0.0000931515 0.0000985838 201020.565 199643.842 200474.680 0.47423 -2.18772 -0.02771 0.0002580833 -0.07061 8.001 0.001389 790.622 284.837 0.00008203224 0.00024127856 0.0000927169 0.0000989173 200759.827 199400.089 200213.940 0.54116 -2.49531 -0.03090 0.0002579821 -0.09137 9.003 0.001563 790.345 284.779 0.00008156854 0.00024184813 0.0000922739 0.0000992450 200512.891 199170.364 199967.143 0.60827 -2.80357 -0.03392 0.0002578669 -0.11491 10.005 0.001737 790.085 284.728 0.00008110494 0.00024241096 0.0000918253 0.0000995649 200281.283 198956.091 199735.818 0.67517 -3.11068 -0.03675 0.0002577383 -0.14111 11.002 0.001910 789.843 284.682 0.00008064416 0.00024296382 0.0000913738 0.0000998752 200066.181 198758.342 199521.136 0.74145 -3.41485 -0.03937 0.0002575970 -0.16977 12.004 0.002084 789.616 284.641 0.00008018096 0.00024351305 0.0000909143 0.0001001793 199865.078 198574.803 199320.595 0.80787 -3.71954 -0.04183 0.0002574416 -0.20123 13.000 0.002257 789.408 284.607 0.00007972071 0.00024405228 0.0000904523 0.0001004736 199680.265 198407.559 199136.478 0.87365 -4.02123 -0.04408 0.0002572739 -0.23509 14.003 0.002431 789.216 284.578 0.00007925817 0.00024458768 0.0000899825 0.0001007615 199509.586 198254.654 198966.637 0.93952 -4.32336 -0.04616 0.0002570920 -0.27175 15.005 0.002605 789.040 284.555 0.00007879605 0.00024511606 0.0000895077 0.0001010411 199354.137 198117.076 198812.164 1.00509 -4.62413 -0.04805 0.0002568968 -0.31101 16.001 0.002778 788.883 284.538 0.00007833708 0.00024563438 0.0000890309 0.0001013109 199214.663 197995.463 198673.795 1.06998 -4.92180 -0.04974 0.0002566897 -0.35259 17.004 0.002952 788.742 284.526 0.00007787601 0.00024614859 0.0000885466 0.0001015738 199089.538 197888.389 198549.917 1.13491 -5.21976 -0.05125 0.0002564684 -0.39698 18.006 0.003126 788.617 284.521 0.00007741557 0.00024665560 0.0000880578 0.0001018282 198979.598 197796.582 198441.358 1.19949 -5.51626 -0.05258 0.0002562340 -0.44392 19.002 0.003299 788.511 284.521 0.00007695845 0.00024715251 0.0000875675 0.0001020726 198885.332 197720.422 198348.598 1.26335 -5.80956 -0.05372 0.0002559881 -0.49310 20.004 0.003473 788.421 284.526 0.00007649944 0.00024764499 0.0000870702 0.0001023098 198805.639 197659.013 198270.553 1.32719 -6.10301 -0.05467 0.0002557280 -0.54509 21.001 0.003646 788.348 284.537 0.00007604388 0.00024812734 0.0000865717 0.0001025369 198741.426 197613.046 198208.110 1.39027 -6.39320 -0.05544 0.0002554566 -0.59928 22.003 0.003820 788.292 284.554 0.00007558656 0.00024860506 0.0000860664 0.0001027566 198691.944 197581.978 198160.539 1.45330 -6.68345 -0.05602 0.0002551710 -0.65627 23.005 0.003994 788.253 284.577 0.00007513019 0.00024907529 0.0000855573 0.0001029674 198657.600 197566.105 198128.238 1.51590 -6.97203 -0.05641 0.0002548727 -0.71574 24.002 0.004167 788.232 284.605 0.00007467744 0.00024953533 0.0000850476 0.0001031682 198638.456 197565.380 198111.255 1.57770 -7.25726 -0.05662 0.0002545638 -0.77732 25.004 0.004341 788.227 284.639 0.00007422314 0.00024999043 0.0000845314 0.0001033611 198634.289 197579.784 198109.389 1.63940 -7.54241 -0.05664 0.0002542406 -0.84171 26.001 0.004514 788.239 284.678 0.00007377258 0.00025043530 0.0000840150 0.0001035440 198645.143 197609.145 198122.660 1.70026 -7.82414 -0.05648 0.0002539070 -0.90814 27.003 0.004688 788.269 284.723 0.00007332061 0.00025087501 0.0000834925 0.0001037188 198671.143 197653.797 198151.220 1.76098 -8.10568 -0.05613 0.0002535593 -0.97739 28.005 0.004862 788.315 284.774 0.00007286991 0.00025130692 0.0000829670 0.0001038844 198712.272 197713.609 198195.036 1.82119 -8.38535 -0.05560 0.0002531994 -1.04904 29.002 0.005035 788.378 284.830 0.00007242311 0.00025172854 0.0000824417 0.0001040400 198768.165 197788.104 198253.727 1.88053 -8.66152 -0.05488 0.0002528297 -1.12266 30.004 0.005209 788.459 284.892 0.00007197512 0.00025214468 0.0000819107 0.0001041872 198839.472 197878.141 198327.976 1.93967 -8.93735 -0.05397 0.0002524460 -1.19908 31.000 0.005382 788.556 284.959 0.00007153116 0.00025255049 0.0000813803 0.0001043244 198925.380 197982.685 198416.933 1.99791 -9.20963 -0.05288 0.0002520527 -1.27740 32.003 0.005556 788.671 285.032 0.00007108615 0.00025295059 0.0000808445 0.0001044530 199026.887 198102.946 198521.633 2.05591 -9.48145 -0.05160 0.0002516455 -1.35853 33.005 0.005730 788.802 285.111 0.00007064272 0.00025334254 0.0000803066 0.0001045722 199143.551 198238.365 198641.614 2.11332 -9.75120 -0.05013 0.0002512268 -1.44198 34.001 0.005903 788.950 285.195 0.00007020349 0.00025372410 0.0000797698 0.0001046814 199274.579 198388.037 198776.065 2.16979 -10.01730 -0.04849 0.0002507992 -1.52726 35.004 0.006077 789.116 285.284 0.00006976344 0.00025409960 0.0000792280 0.0001047818 199421.499 198553.698 198926.551 2.22597 -10.28280 -0.04665 0.0002503578 -1.61533 36.006 0.006251 789.299 285.380 0.00006932517 0.00025446675 0.0000786845 0.0001048727 199583.609 198734.531 199092.350 2.28150 -10.54609 -0.04462 0.0002499052 -1.70568 37.002 0.006424 789.497 285.480 0.00006889126 0.00025482343 0.0000781427 0.0001049536 199759.861 198929.375 199272.393 2.33606 -10.80565 -0.04242 0.0002494443 -1.79776 38.004 0.006598 789.714 285.586 0.00006845676 0.00025517369 0.0000775964 0.0001050255 199952.308 199140.491 199468.775 2.39026 -11.06443 -0.04001 0.0002489699 -1.89261 39.001 0.006771 789.946 285.697 0.00006802673 0.00025551343 0.0000770521 0.0001050875 200158.757 199365.461 199679.257 2.44346 -11.31942 -0.03744 0.0002484876 -1.98914 40.003 0.006945 790.197 285.814 0.00006759627 0.00025584651 0.0000765036 0.0001051403 200381.612 199606.898 199906.290 2.49627 -11.57351 -0.03466 0.0002479919 -2.08844 41.005 0.007119 790.464 285.936 0.00006716793 0.00025617085 0.0000759543 0.0001051835 200619.744 199863.556 200148.721 2.54835 -11.82519 -0.03170 0.0002474858 -2.18994 42.002 0.007292 790.747 286.064 0.00006674423 0.00025648459 0.0000754075 0.0001052169 200871.675 200133.842 200405.045 2.59940 -12.07298 -0.02856 0.0002469724 -2.29301 43.004 0.007466 791.048 286.197 0.00006632035 0.00025679129 0.0000748570 0.0001052409 201140.340 200420.895 200678.248 2.64999 -12.31970 -0.02522 0.0002464459 -2.39884 44.001 0.007639 791.365 286.335 0.00006590121 0.00025708733 0.0000743094 0.0001052552 201422.676 200721.431 200965.213 2.69953 -12.56247 -0.02171 0.0002459126 -2.50619 45.003 0.007813 791.699 286.479 0.00006548205 0.00025737605 0.0000737584 0.0001052600 201721.971 201038.940 201269.283 2.74857 -12.80406 -0.01799 0.0002453664 -2.61628 46.005 0.007987 792.051 286.629 0.00006506538 0.00025765564 0.0000732074 0.0001052552 202036.665 201371.745 201588.870 2.79681 -13.04299 -0.01408 0.0002448106 -2.72847 47.002 0.008160 792.418 286.783 0.00006465362 0.00025792448 0.0000726597 0.0001052408 202364.846 201717.819 201922.031 2.84397 -13.27789 -0.01000 0.0002442485 -2.84209 48.004 0.008334 792.803 286.944 0.00006424211 0.00025818560 0.0000721093 0.0001052167 202710.337 202081.182 202272.646 2.89056 -13.51141 -0.00571 0.0002436740 -2.95843 49.000 0.008507 793.203 287.109 0.00006383563 0.00025843591 0.0000715625 0.0001051833 203069.196 202457.676 202636.716 2.93605 -13.74082 -0.00126 0.0002430937 -3.07613 50.003 0.008681 793.622 287.280 0.00006342957 0.00025867821 0.0000710132 0.0001051400 203445.606 202851.672 203018.480 2.98094 -13.96872 0.00341 0.0002425012 -3.19653 51.005 0.008855 794.057 287.456 0.00006302635 0.00025891094 0.0000704647 0.0001050872 203837.569 203261.060 203415.911 3.02496 -14.19374 0.00827 0.0002418999 -3.31894 52.001 0.009028 794.507 287.637 0.00006262835 0.00025913276 0.0000699204 0.0001050251 204242.734 203683.373 203826.624 3.06783 -14.41455 0.01330 0.0002412935 -3.44261 53.004 0.009202 794.975 287.824 0.00006223105 0.00025934614 0.0000693741 0.0001049532 204665.819 204123.516 204255.400 3.11005 -14.63366 0.01854 0.0002406753 -3.56896 54.006 0.009376 795.461 288.016 0.00006183682 0.00025954968 0.0000688291 0.0001048717 205104.564 204579.113 204699.947 3.15135 -14.84973 0.02398 0.0002400488 -3.69725 55.002 0.009549 795.960 288.213 0.00006144799 0.00025974219 0.0000682888 0.0001047812 205556.351 205047.434 205157.611 3.19148 -15.06149 0.02958 0.0002394181 -3.82671 56.004 0.009723 796.478 288.416 0.00006106013 0.00025992581 0.0000677471 0.0001046808 206026.441 205533.915 205633.719 3.23090 -15.27134 0.03540 0.0002387759 -3.95881 57.001 0.009896 797.010 288.623 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0.00008847453 0.00023266917 0.0000982387 0.0000935853 205798.321 204214.550 205265.961 7.26594 1.90152 3.01914 0.0002581720 4.65363 355.000 0.061632 795.695 286.063 0.00008801938 0.00023332298 0.0000978903 0.0000940080 205337.132 203768.147 204802.830 7.33400 1.58342 3.01348 0.0002582463 4.66824 356.003 0.061806 795.200 285.929 0.00008756072 0.00023397466 0.0000975324 0.0000944270 204888.967 203335.063 204352.868 7.40246 1.26404 3.00797 0.0002583074 4.68014 357.005 0.061980 794.721 285.800 0.00008710123 0.00023462036 0.0000971673 0.0000948396 204456.503 202917.882 203918.764 7.47091 0.94525 3.00266 0.0002583549 4.68925 358.001 0.062153 794.262 285.678 0.00008664365 0.00023525635 0.0000967971 0.0000952435 204042.058 202518.827 203502.841 7.53895 0.62894 2.99758 0.0002583886 4.69554 359.004 0.062327 793.816 285.562 0.00008618276 0.00023588994 0.0000964178 0.0000956432 203640.809 202133.245 203100.259 7.60734 0.31149 2.99265 0.0002584090 4.69910 360.006 0.062501 793.387 285.451 0.00008572127 0.00023651736 0.0000960316 0.0000960361 203255.163 201763.448 202713.433 7.67568 -0.00523 2.98792 0.0002584157 4.69990 Engine speed (Hz) = 16.0000000000 Output power (W) = 75.1983114807 Heat into heater (W) = 122.8109403905 Heat to regenerator (W) = -0.0836340640 Heat removal from cooler (W) = 47.8067077084 Approximate Pumping loss (W) = -3.5433942531 Thermal efficiency (%) = 61.2309548657 The average engine pressure (Pa) = 271829.4566642572 The exp space work per cycle (J) = 7.6762403502 The comp space work per cycle (J) = -2.9763458827 The net work per cycle (J) = 4.6998944675 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6649544150 The expansion work for Vmin-to-Vmax (J) = 26.3648488825 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000000 793.658 285.528 0.00008576170 0.00023643454 0.0000960331 0.0000960346 203417.262 201750.360 202812.244 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000164 793.245 285.424 0.00008529867 0.00023705741 0.0000956395 0.0000964213 203045.816 201396.776 202439.627 0.06831 -0.31669 -0.00456 0.0002584089 -0.00202 2.003 0.000327 792.851 285.326 0.00008483800 0.00023767025 0.0000952417 0.0000967988 202692.060 201060.963 202084.873 0.13612 -0.63063 -0.00890 0.0002583885 -0.00675 3.001 0.000490 792.473 285.234 0.00008437695 0.00023827682 0.0000948373 0.0000971693 202353.651 200740.680 201745.633 0.20383 -0.94373 -0.01305 0.0002583547 -0.01419 4.004 0.000654 792.110 285.147 0.00008391275 0.00023888073 0.0000944241 0.0000975349 202028.625 200434.070 201419.937 0.27184 -1.25785 -0.01703 0.0002583070 -0.02440 5.002 0.000817 791.766 285.067 0.00008345114 0.00023947455 0.0000940070 0.0000978911 201720.920 200144.837 201111.729 0.33930 -1.56912 -0.02080 0.0002582461 -0.03724 6.006 0.000981 791.437 284.992 0.00008298651 0.00024006552 0.0000935812 0.0000982420 201426.732 199869.400 200817.198 0.40703 -1.88131 -0.02441 0.0002581713 -0.05286 7.003 0.001144 791.126 284.923 0.00008252461 0.00024064637 0.0000931520 0.0000985834 201149.623 199611.085 200539.910 0.47418 -2.19059 -0.02780 0.0002580834 -0.07106 8.001 0.001307 790.833 284.860 0.00008206266 0.00024122066 0.0000927169 0.0000989173 200887.727 199368.134 200277.996 0.54115 -2.49881 -0.03100 0.0002579821 -0.09191 9.004 0.001471 790.554 284.803 0.00008159791 0.00024179181 0.0000922733 0.0000992455 200639.554 199139.167 200029.964 0.60833 -2.80782 -0.03404 0.0002578668 -0.11555 10.002 0.001634 790.294 284.751 0.00008113608 0.00024235279 0.0000918268 0.0000995639 200408.108 198926.950 199798.816 0.67489 -3.11380 -0.03686 0.0002577387 -0.14169 11.006 0.001798 790.049 284.705 0.00008067158 0.00024291043 0.0000913720 0.0000998764 200190.527 198728.849 199581.693 0.74163 -3.42048 -0.03952 0.0002575964 -0.17062 12.003 0.001961 789.823 284.666 0.00008021014 0.00024345787 0.0000909147 0.0001001791 199989.443 198547.255 199381.220 0.80771 -3.72406 -0.04197 0.0002574418 -0.20200 13.001 0.002124 789.614 284.632 0.00007974898 0.00024399847 0.0000904521 0.0001004737 199803.465 198380.887 199196.007 0.87354 -4.02640 -0.04424 0.0002572739 -0.23597 14.004 0.002288 789.420 284.603 0.00007928536 0.00024453543 0.0000899816 0.0001007620 199631.571 198228.841 199025.039 0.93948 -4.32928 -0.04633 0.0002570917 -0.27275 15.002 0.002451 789.244 284.581 0.00007882498 0.00024506215 0.0000895091 0.0001010403 199475.842 198092.950 198870.382 1.00473 -4.62897 -0.04822 0.0002568974 -0.31188 16.006 0.002615 789.085 284.564 0.00007836227 0.00024558503 0.0000890288 0.0001013120 199334.351 197971.524 198730.123 1.07007 -4.92912 -0.04994 0.0002566888 -0.35383 17.003 0.002778 788.943 284.553 0.00007790293 0.00024609763 0.0000885468 0.0001015737 199208.809 197866.024 198605.956 1.13468 -5.22602 -0.05146 0.0002564685 -0.39808 18.001 0.002941 788.818 284.548 0.00007744420 0.00024660311 0.0000880603 0.0001018269 199098.294 197775.645 198496.966 1.19895 -5.52147 -0.05279 0.0002562352 -0.44485 19.004 0.003105 788.710 284.548 0.00007698335 0.00024710444 0.0000875665 0.0001020731 199002.255 197699.954 198402.612 1.26325 -5.81723 -0.05394 0.0002559876 -0.49445 20.002 0.003268 788.619 284.554 0.00007652604 0.00024759545 0.0000870715 0.0001023092 198921.853 197639.860 198324.033 1.32678 -6.10965 -0.05490 0.0002557286 -0.54626 21.006 0.003432 788.545 284.566 0.00007606675 0.00024808210 0.0000865693 0.0001025380 198856.092 197594.610 198260.256 1.39030 -6.40228 -0.05568 0.0002554553 -0.60090 22.003 0.003595 788.488 284.583 0.00007561113 0.00024855840 0.0000860664 0.0001027566 198805.768 197564.743 198212.049 1.45303 -6.69151 -0.05627 0.0002551710 -0.65769 23.001 0.003758 788.448 284.606 0.00007515644 0.00024902728 0.0000855597 0.0001029665 198770.426 197549.926 198178.971 1.51533 -6.97909 -0.05668 0.0002548742 -0.71694 24.004 0.003922 788.425 284.635 0.00007469996 0.00024949149 0.0000850463 0.0001031687 198749.985 197550.196 198160.954 1.57756 -7.26673 -0.05690 0.0002545630 -0.77902 25.002 0.004085 788.418 284.669 0.00007424733 0.00024994529 0.0000845326 0.0001033607 198744.690 197565.541 198158.213 1.63896 -7.55088 -0.05693 0.0002542413 -0.84317 26.006 0.004249 788.430 284.709 0.00007379307 0.00025039420 0.0000840124 0.0001035449 198754.475 197596.141 198170.712 1.70026 -7.83499 -0.05678 0.0002539053 -0.91015 27.003 0.004412 788.457 284.754 0.00007334276 0.00025083267 0.0000834923 0.0001037188 198779.219 197641.619 198198.298 1.76069 -8.11556 -0.05644 0.0002535592 -0.97913 28.001 0.004575 788.502 284.805 0.00007289370 0.00025126341 0.0000829692 0.0001038837 198818.940 197702.109 198241.002 1.82062 -8.39427 -0.05592 0.0002532010 -1.05050 29.004 0.004739 788.565 284.862 0.00007244322 0.00025168891 0.0000824402 0.0001040404 198874.020 197778.118 198299.227 1.88038 -8.67279 -0.05521 0.0002528286 -1.12471 30.002 0.004902 788.643 284.924 0.00007199687 0.00025210393 0.0000819117 0.0001041870 198943.794 197868.718 198372.268 1.93924 -8.94768 -0.05431 0.0002524467 -1.20083 31.006 0.005066 788.740 284.992 0.00007154925 0.00025251348 0.0000813774 0.0001043251 199029.122 197975.018 198461.025 1.99790 -9.22227 -0.05323 0.0002520506 -1.27978 32.003 0.005229 788.853 285.065 0.00007110586 0.00025291251 0.0000808442 0.0001044531 199128.973 198095.725 198564.424 2.05563 -9.49316 -0.05196 0.0002516452 -1.36058 33.001 0.005392 788.982 285.144 0.00007066405 0.00025330347 0.0000803087 0.0001045718 199243.828 198231.441 198682.967 2.11276 -9.76200 -0.05051 0.0002512285 -1.44370 34.005 0.005556 789.130 285.228 0.00007022119 0.00025368861 0.0000797680 0.0001046817 199374.543 198383.142 198817.531 2.16964 -10.03037 -0.04887 0.0002507978 -1.52965 35.002 0.005719 789.293 285.318 0.00006978274 0.00025406317 0.0000792288 0.0001047816 199519.534 198548.981 198966.487 2.22556 -10.29496 -0.04705 0.0002503584 -1.61736 36.006 0.005883 789.475 285.414 0.00006934339 0.00025443166 0.0000786845 0.0001048727 199680.594 198731.001 199131.675 2.28117 -10.55898 -0.04502 0.0002499052 -1.70789 37.003 0.006046 789.672 285.514 0.00006890857 0.00025478952 0.0000781421 0.0001049537 199855.775 198926.987 199311.096 2.33579 -10.81916 -0.04283 0.0002494438 -1.80012 38.001 0.006209 789.886 285.620 0.00006847565 0.00025513895 0.0000775984 0.0001050253 200046.028 199138.013 199505.725 2.38974 -11.07707 -0.04045 0.0002489716 -1.89459 39.005 0.006373 790.119 285.733 0.00006804206 0.00025548195 0.0000770501 0.0001050877 200252.678 199365.520 199716.915 2.44333 -11.33424 -0.03787 0.0002484858 -1.99186 40.002 0.006536 790.366 285.850 0.00006761317 0.00025581424 0.0000765042 0.0001051402 200473.224 199606.746 199942.108 2.49589 -11.58748 -0.03511 0.0002479925 -2.09075 41.006 0.006700 790.633 285.973 0.00006718377 0.00025613983 0.0000759541 0.0001051835 200710.392 199864.661 200184.089 2.54805 -11.83985 -0.03215 0.0002474856 -2.19244 42.003 0.006863 790.914 286.100 0.00006675918 0.00025645468 0.0000754067 0.0001052169 200961.314 200136.132 200439.927 2.59916 -12.08823 -0.02902 0.0002469716 -2.29568 43.001 0.007026 791.213 286.234 0.00006633684 0.00025676071 0.0000748588 0.0001052408 201227.412 200422.701 200711.074 2.64952 -12.33413 -0.02570 0.0002464476 -2.40106 44.005 0.007190 791.530 286.373 0.00006591425 0.00025705964 0.0000743072 0.0001052552 201510.484 200726.278 200999.360 2.69942 -12.57898 -0.02218 0.0002459104 -2.50923 45.002 0.007353 791.862 286.517 0.00006549663 0.00025734775 0.0000737588 0.0001052600 201807.105 201043.177 201301.294 2.74823 -12.81975 -0.01848 0.0002453668 -2.61885 46.006 0.007517 792.212 286.667 0.00006507893 0.00025762847 0.0000732070 0.0001052551 202120.941 201377.302 201620.609 2.79654 -13.05935 -0.01458 0.0002448102 -2.73125 47.003 0.007680 792.578 286.822 0.00006466632 0.00025789832 0.0000726588 0.0001052407 202448.194 201724.597 201953.437 2.84375 -13.29480 -0.01051 0.0002442475 -2.84504 48.001 0.007843 792.960 286.982 0.00006425631 0.00025815893 0.0000721108 0.0001052168 202790.762 202087.069 202301.710 2.89013 -13.52754 -0.00625 0.0002436757 -2.96088 49.005 0.008007 793.361 287.148 0.00006384649 0.00025841174 0.0000715601 0.0001051831 203150.920 202467.100 202667.736 2.93595 -13.75891 -0.00177 0.0002430912 -3.07948 50.002 0.008170 793.776 287.319 0.00006344192 0.00025865358 0.0000710133 0.0001051400 203524.308 202860.077 203047.084 2.98064 -13.98605 0.00287 0.0002425014 -3.19936 51.006 0.008334 794.211 287.496 0.00006303773 0.00025888732 0.0000704641 0.0001050871 203915.542 203270.838 203444.442 3.02471 -14.21168 0.00773 0.0002418992 -3.32199 52.003 0.008497 794.659 287.677 0.00006263892 0.00025911003 0.0000699192 0.0001050250 204319.886 203694.397 203854.998 3.06764 -14.43302 0.01276 0.0002412922 -3.44584 53.001 0.008660 795.124 287.864 0.00006224308 0.00025932305 0.0000693755 0.0001049534 204739.715 204133.229 204281.162 3.10966 -14.65139 0.01797 0.0002406768 -3.57164 54.005 0.008824 795.609 288.057 0.00006184790 0.00025952753 0.0000688297 0.0001048718 205177.785 204590.190 204725.731 3.15102 -14.86805 0.02341 0.0002400495 -3.70015 55.002 0.008987 796.107 288.254 0.00006145827 0.00025972087 0.0000682888 0.0001047812 205628.793 205059.728 205183.319 3.19120 -15.08032 0.02901 0.0002394181 -3.82979 56.006 0.009151 796.624 288.457 0.00006106950 0.00025990535 0.0000677463 0.0001046806 206098.312 205547.624 205659.580 3.23068 -15.29073 0.03483 0.0002387749 -3.96212 57.003 0.009314 797.155 288.665 0.00006068640 0.00026007862 0.0000672089 0.0001045712 206580.658 206047.949 206148.745 3.26895 -15.49668 0.04082 0.0002381281 -4.09551 58.001 0.009477 797.703 288.878 0.00006030667 0.00026024174 0.0000666734 0.0001044525 207078.688 206563.652 206653.711 3.30626 -15.69941 0.04699 0.0002374740 -4.23073 59.005 0.009641 798.270 289.097 0.00005992811 0.00026039551 0.0000661369 0.0001043237 207595.645 207098.059 207177.762 3.34280 -15.90006 0.05340 0.0002368086 -4.36861 60.002 0.009804 798.850 289.320 0.00005955540 0.00026053796 0.0000656059 0.0001041863 208125.269 207644.673 207714.551 3.37812 -16.09614 0.05997 0.0002361403 -4.50745 61.006 0.009968 799.449 289.550 0.00005918406 0.00026067073 0.0000650742 0.0001040388 208674.103 208210.220 208270.707 3.41263 -16.29001 0.06677 0.0002354611 -4.64891 62.004 0.010131 800.062 289.783 0.00005881870 0.00026079210 0.0000645484 0.0001038830 209235.502 208787.822 208839.493 3.44591 -16.47923 0.07373 0.0002347794 -4.79126 63.001 0.010294 800.690 290.022 0.00005845714 0.00026090281 0.0000640254 0.0001037181 209812.811 209380.897 209424.295 3.47815 -16.66494 0.08089 0.0002340915 -4.93532 64.005 0.010458 801.339 290.267 0.00005809727 0.00026100333 0.0000635021 0.0001035430 210409.767 209993.242 210028.897 3.50953 -16.84820 0.08828 0.0002333931 -5.08198 65.002 0.010621 802.000 290.516 0.00005774358 0.00026109232 0.0000629851 0.0001033599 211019.140 210617.406 210645.974 3.53966 -17.02670 0.09583 0.0002326930 -5.22940 66.006 0.010785 802.681 290.772 0.00005739182 0.00026117076 0.0000624683 0.0001031666 211648.461 211261.058 211283.147 3.56888 -17.20259 0.10363 0.0002319829 -5.37939 67.004 0.010948 803.374 291.031 0.00005704637 0.00026123758 0.0000619580 0.0001029655 212290.109 211916.361 211932.698 3.59684 -17.37364 0.11157 0.0002312716 -5.53007 68.001 0.011111 804.082 291.295 0.00005670516 0.00026129318 0.0000614514 0.0001027556 212947.929 212587.196 212598.517 3.62369 -17.54089 0.11972 0.0002305550 -5.68234 69.005 0.011275 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0.00009389374 0.00022428689 0.0001018252 0.0000880636 212727.364 210782.288 212173.540 6.44565 5.75990 3.11354 0.0002562368 4.23900 343.003 0.056046 803.120 288.154 0.00009345487 0.00022500732 0.0001015720 0.0000885500 212075.387 210143.212 211517.176 6.51240 5.43842 3.10551 0.0002564700 4.28760 344.001 0.056209 802.433 287.949 0.00009301412 0.00022572271 0.0001013103 0.0000890320 211439.357 209520.434 210876.948 6.57934 5.11689 3.09768 0.0002566902 4.33333 345.005 0.056373 801.757 287.748 0.00009256885 0.00022643731 0.0001010385 0.0000895122 210815.490 208910.244 210249.045 6.64688 4.79340 3.08999 0.0002568987 4.37645 346.002 0.056536 801.101 287.554 0.00009212459 0.00022714236 0.0001007601 0.0000899847 210211.363 208320.042 209641.094 6.71416 4.47195 3.08256 0.0002570929 4.41644 347.006 0.056700 800.458 287.366 0.00009167597 0.00022784642 0.0001004718 0.0000904552 209619.532 207742.544 209045.602 6.78201 4.14864 3.07527 0.0002572750 4.45380 348.003 0.056863 799.834 287.184 0.00009122855 0.00022854083 0.0001001771 0.0000909177 209047.184 207184.750 208469.800 6.84958 3.82746 3.06823 0.0002574428 4.48808 349.001 0.057026 799.227 287.009 0.00009077968 0.00022922985 0.0000998744 0.0000913750 208490.628 206643.047 207909.973 6.91726 3.50649 3.06138 0.0002575974 4.51953 350.005 0.057190 798.632 286.838 0.00009032668 0.00022991757 0.0000995618 0.0000918298 207946.563 206114.218 207362.801 6.98547 3.18383 3.05469 0.0002577396 4.54831 351.002 0.057353 798.057 286.675 0.00008987514 0.00023059554 0.0000992433 0.0000922762 207421.591 205604.669 206834.922 7.05335 2.86344 3.04823 0.0002578676 4.57409 352.006 0.057517 797.494 286.517 0.00008941962 0.00023127202 0.0000989151 0.0000927198 206909.238 205108.106 206319.824 7.12172 2.54145 3.04193 0.0002579828 4.59719 353.003 0.057680 796.952 286.366 0.00008896575 0.00023193868 0.0000985812 0.0000931548 206415.717 204630.541 205823.756 7.18973 2.22182 3.03586 0.0002580840 4.61734 354.001 0.057843 796.425 286.220 0.00008851082 0.00023259962 0.0000982397 0.0000935840 205937.826 204168.857 205343.493 7.25778 1.90266 3.02998 0.0002581718 4.63469 355.005 0.058007 795.912 286.080 0.00008805213 0.00023325876 0.0000978887 0.0000940098 205472.741 203720.325 204876.199 7.32628 1.58203 3.02427 0.0002582465 4.64933 356.002 0.058170 795.419 285.947 0.00008759533 0.00023390802 0.0000975325 0.0000944268 205026.103 203290.374 204427.541 7.39437 1.26391 3.01878 0.0002583073 4.66110 357.006 0.058334 794.939 285.819 0.00008713490 0.00023455529 0.0000971669 0.0000948400 204592.398 202873.688 203991.978 7.46287 0.94443 3.01345 0.0002583549 4.67015 358.003 0.058497 794.478 285.697 0.00008667653 0.00023519261 0.0000967963 0.0000952444 204176.883 202475.309 203574.790 7.53094 0.62754 3.00835 0.0002583887 4.67638 359.001 0.058660 794.034 285.582 0.00008621749 0.00023582390 0.0000964188 0.0000956422 203776.835 202092.607 203173.238 7.59897 0.31132 3.00344 0.0002584090 4.67986 360.005 0.058824 793.604 285.471 0.00008575502 0.00023645292 0.0000960320 0.0000960357 203389.909 201723.340 202784.971 7.66737 -0.00611 2.99869 0.0002584157 4.68060 Engine speed (Hz) = 17.0000000000 Output power (W) = 79.5700682553 Heat into heater (W) = 130.3452951906 Heat to regenerator (W) = -0.1038326065 Heat removal from cooler (W) = 50.9776656051 Approximate Pumping loss (W) = -4.1982170064 Thermal efficiency (%) = 61.0456005634 The average engine pressure (Pa) = 271855.6762094263 The exp space work per cycle (J) = 7.6675040576 The comp space work per cycle (J) = -2.9869118073 The net work per cycle (J) = 4.6805922503 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6762753464 The expansion work for Vmin-to-Vmax (J) = 26.3568675967 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 793.886 285.549 0.00008579710 0.00023636694 0.0000960336 0.0000960342 203558.745 201707.907 202887.305 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000155 793.472 285.444 0.00008533340 0.00023699099 0.0000956397 0.0000964212 203186.274 201355.199 202513.507 0.06832 -0.31719 -0.00457 0.0002584089 -0.00209 2.003 0.000309 793.077 285.347 0.00008487223 0.00023760478 0.0000952417 0.0000967988 202831.619 201020.395 202157.721 0.13611 -0.63153 -0.00893 0.0002583885 -0.00689 3.001 0.000463 792.698 285.255 0.00008441066 0.00023821231 0.0000948372 0.0000971694 202492.299 200701.132 201817.455 0.20380 -0.94502 -0.01309 0.0002583546 -0.01441 4.005 0.000618 792.334 285.169 0.00008394576 0.00023881740 0.0000944236 0.0000975353 202166.231 200395.452 201490.620 0.27182 -1.25966 -0.01709 0.0002583069 -0.02470 5.003 0.000772 791.989 285.089 0.00008348361 0.00023941219 0.0000940064 0.0000978916 201857.596 200107.266 201181.405 0.33927 -1.57133 -0.02087 0.0002582460 -0.03761 6.001 0.000926 791.661 285.015 0.00008302127 0.00024000055 0.0000935830 0.0000982405 201564.214 199834.516 200887.624 0.40658 -1.88204 -0.02446 0.0002581716 -0.05321 7.006 0.001081 791.348 284.946 0.00008255581 0.00024058618 0.0000931509 0.0000985843 201284.303 199575.550 200607.493 0.47416 -2.19375 -0.02789 0.0002580832 -0.07160 8.004 0.001235 791.053 284.883 0.00008209330 0.00024116145 0.0000927156 0.0000989182 201021.450 199333.678 200344.600 0.54112 -2.50239 -0.03111 0.0002579818 -0.09253 9.001 0.001389 790.775 284.827 0.00008163082 0.00024173012 0.0000922746 0.0000992445 200773.776 199107.149 200097.063 0.60789 -2.80994 -0.03413 0.0002578671 -0.11611 10.006 0.001544 790.512 284.776 0.00008116541 0.00024229576 0.0000918250 0.0000995652 200539.799 198894.612 199863.401 0.67487 -3.11834 -0.03699 0.0002577382 -0.14249 11.004 0.001698 790.268 284.730 0.00008070316 0.00024285100 0.0000913728 0.0000998759 200322.517 198698.783 199646.607 0.74120 -3.42358 -0.03964 0.0002575967 -0.17134 12.002 0.001852 790.041 284.691 0.00008024113 0.00024339947 0.0000909153 0.0001001786 200120.349 198518.213 199445.101 0.80728 -3.72761 -0.04211 0.0002574420 -0.20279 13.006 0.002007 789.829 284.657 0.00007977639 0.00024394460 0.0000904496 0.0001004753 199932.113 198351.853 199257.705 0.87354 -4.03235 -0.04440 0.0002572729 -0.23706 14.004 0.002161 789.635 284.630 0.00007931499 0.00024447930 0.0000899818 0.0001007619 199760.219 198201.827 199086.818 0.93908 -4.33383 -0.04649 0.0002570917 -0.27370 15.002 0.002315 789.458 284.608 0.00007885401 0.00024500705 0.0000895091 0.0001010403 199603.388 198066.988 198931.163 1.00433 -4.63397 -0.04840 0.0002568974 -0.31292 16.006 0.002470 789.297 284.591 0.00007839052 0.00024553115 0.0000890284 0.0001013122 199460.732 197946.587 198789.861 1.06970 -4.93468 -0.05012 0.0002566887 -0.35497 17.004 0.002624 789.154 284.581 0.00007793057 0.00024604478 0.0000885463 0.0001015740 199334.078 197842.160 198664.722 1.13431 -5.23203 -0.05166 0.0002564682 -0.39930 18.002 0.002778 789.028 284.576 0.00007747123 0.00024655129 0.0000880596 0.0001018273 199222.445 197752.859 198554.771 1.19859 -5.52794 -0.05300 0.0002562349 -0.44616 19.000 0.002932 788.919 284.576 0.00007701256 0.00024705061 0.0000875686 0.0001020720 199125.821 197678.669 198459.995 1.26250 -5.82235 -0.05416 0.0002559887 -0.49554 20.004 0.003087 788.827 284.583 0.00007655166 0.00024754586 0.0000870702 0.0001023098 199043.716 197619.239 198379.917 1.32645 -6.11713 -0.05514 0.0002557280 -0.54776 21.002 0.003241 788.751 284.595 0.00007609454 0.00024803059 0.0000865710 0.0001025372 198977.180 197575.322 198315.561 1.38960 -6.40844 -0.05593 0.0002554562 -0.60215 22.000 0.003395 788.693 284.613 0.00007563828 0.00024850796 0.0000860678 0.0001027560 198925.629 197546.471 198266.352 1.45234 -6.69814 -0.05653 0.0002551718 -0.65902 23.005 0.003550 788.652 284.636 0.00007518000 0.00024898092 0.0000855577 0.0001029673 198888.868 197532.635 198232.112 1.51505 -6.98805 -0.05695 0.0002548730 -0.71874 24.003 0.003704 788.627 284.665 0.00007472568 0.00024944332 0.0000850472 0.0001031683 198867.368 197533.982 198213.280 1.57693 -7.27440 -0.05718 0.0002545635 -0.78053 25.001 0.003858 788.620 284.700 0.00007427242 0.00024989817 0.0000845333 0.0001033604 198860.839 197550.365 198209.580 1.63834 -7.55902 -0.05722 0.0002542418 -0.84476 26.005 0.004013 788.629 284.740 0.00007381734 0.00025034829 0.0000840128 0.0001035447 198869.386 197582.029 198221.136 1.69967 -7.84370 -0.05708 0.0002539055 -0.91184 27.003 0.004167 788.656 284.786 0.00007336640 0.00025078780 0.0000834925 0.0001037188 198892.897 197628.559 198247.797 1.76012 -8.12473 -0.05676 0.0002535593 -0.98091 28.001 0.004321 788.699 284.837 0.00007291670 0.00025121956 0.0000829692 0.0001038837 198931.382 197690.107 198289.591 1.82006 -8.40391 -0.05624 0.0002532010 -1.05237 29.005 0.004476 788.760 284.895 0.00007246542 0.00025164625 0.0000824398 0.0001040405 198985.240 197767.216 198346.938 1.87986 -8.68300 -0.05554 0.0002528283 -1.12669 30.003 0.004630 788.838 284.957 0.00007201843 0.00025206228 0.0000819111 0.0001041871 199053.781 197858.887 198419.104 1.93874 -8.95835 -0.05466 0.0002524462 -1.20290 31.001 0.004784 788.932 285.025 0.00007157289 0.00025247037 0.0000813799 0.0001043245 199137.310 197965.569 198506.415 1.99706 -9.23172 -0.05359 0.0002520524 -1.28145 32.005 0.004939 789.044 285.099 0.00007112599 0.00025287301 0.0000808430 0.0001044533 199236.525 198088.102 198609.593 2.05518 -9.50484 -0.05233 0.0002516444 -1.36287 33.003 0.005093 789.172 285.179 0.00007068355 0.00025326496 0.0000803074 0.0001045720 199350.153 198224.907 198727.316 2.11234 -9.77413 -0.05089 0.0002512274 -1.44608 34.001 0.005247 789.317 285.263 0.00007024275 0.00025364875 0.0000797698 0.0001046814 199478.799 198376.728 198860.211 2.16889 -10.04133 -0.04926 0.0002507992 -1.53158 35.006 0.005402 789.480 285.354 0.00006980081 0.00025402673 0.0000792268 0.0001047820 199623.457 198544.703 199009.300 2.22519 -10.30810 -0.04744 0.0002503568 -1.61995 36.004 0.005556 789.659 285.449 0.00006936351 0.00025439395 0.0000786857 0.0001048725 199782.273 198726.670 199172.673 2.28048 -10.57096 -0.04544 0.0002499062 -1.71002 37.002 0.005710 789.855 285.550 0.00006892805 0.00025475280 0.0000781431 0.0001049536 199956.149 198923.670 199351.259 2.33512 -10.83159 -0.04326 0.0002494447 -1.80234 38.006 0.005865 790.069 285.658 0.00006849170 0.00025510546 0.0000775956 0.0001050256 200146.377 199137.137 199546.381 2.38944 -11.09163 -0.04087 0.0002489692 -1.89751 39.004 0.006019 790.299 285.770 0.00006806014 0.00025544730 0.0000770505 0.0001050877 200350.522 199364.327 199755.539 2.44272 -11.34767 -0.03831 0.0002484862 -1.99428 40.002 0.006173 790.545 285.887 0.00006763062 0.00025578055 0.0000765044 0.0001051402 200569.782 199606.577 199979.964 2.49530 -11.60135 -0.03557 0.0002479926 -2.09326 41.006 0.006328 790.810 286.011 0.00006720046 0.00025610720 0.0000759539 0.0001051835 200805.750 199865.619 200221.281 2.54750 -11.85425 -0.03261 0.0002474854 -2.19507 42.004 0.006482 791.090 286.139 0.00006677525 0.00025642297 0.0000754063 0.0001052169 201055.405 200138.124 200476.399 2.59863 -12.10307 -0.02949 0.0002469713 -2.29840 43.002 0.006636 791.387 286.272 0.00006635231 0.00025672990 0.0000748582 0.0001052408 201320.243 200425.725 200746.850 2.64902 -12.34940 -0.02618 0.0002464471 -2.40387 44.006 0.006791 791.703 286.412 0.00006592896 0.00025702983 0.0000743062 0.0001052553 201602.159 200730.454 201034.564 2.69895 -12.59476 -0.02266 0.0002459095 -2.51217 45.004 0.006945 792.033 286.557 0.00006551074 0.00025731881 0.0000737576 0.0001052600 201897.543 201048.392 201335.855 2.74779 -12.83595 -0.01898 0.0002453656 -2.62189 46.002 0.007099 792.380 286.706 0.00006509500 0.00025759870 0.0000732090 0.0001052552 202208.193 201381.472 201652.558 2.79583 -13.07451 -0.01510 0.0002448122 -2.73369 47.000 0.007253 792.744 286.861 0.00006468179 0.00025786944 0.0000726605 0.0001052408 202534.138 201729.711 201984.701 2.84306 -13.31038 -0.01104 0.0002442494 -2.84756 48.005 0.007408 793.127 287.023 0.00006426853 0.00025813259 0.0000721089 0.0001052167 202877.677 202095.536 202334.623 2.88976 -13.54504 -0.00676 0.0002436736 -2.96424 49.002 0.007562 793.524 287.189 0.00006386063 0.00025838468 0.0000715613 0.0001051832 203234.408 202474.244 202697.840 2.93532 -13.77540 -0.00232 0.0002430925 -3.08220 50.000 0.007716 793.938 287.360 0.00006345550 0.00025862735 0.0000710143 0.0001051401 203606.533 202868.165 203076.592 2.98003 -14.00294 0.00232 0.0002425025 -3.20217 51.005 0.007871 794.371 287.537 0.00006305059 0.00025886199 0.0000704647 0.0001050872 203996.654 203280.024 203473.524 3.02414 -14.22906 0.00717 0.0002418999 -3.32493 52.003 0.008025 794.818 287.719 0.00006265122 0.00025908548 0.0000699196 0.0001050250 204399.773 203704.526 203883.551 3.06709 -14.45078 0.01219 0.0002412926 -3.44887 53.001 0.008179 795.282 287.906 0.00006225483 0.00025929927 0.0000693757 0.0001049534 204818.396 204144.298 204309.219 3.10913 -14.66953 0.01739 0.0002406771 -3.57476 54.005 0.008334 795.765 288.099 0.00006185897 0.00025950456 0.0000688295 0.0001048717 205255.430 204602.366 204753.482 3.15052 -14.88664 0.02283 0.0002400493 -3.70340 55.003 0.008488 796.262 288.297 0.00006146881 0.00025969861 0.0000682884 0.0001047812 205705.277 205072.838 205210.647 3.19072 -15.09927 0.02842 0.0002394176 -3.83313 56.001 0.008642 796.775 288.499 0.00006108188 0.00025988269 0.0000677490 0.0001046812 206170.747 205558.641 205683.569 3.22997 -15.30877 0.03421 0.0002387782 -3.96474 57.005 0.008797 797.308 288.709 0.00006069577 0.00026005777 0.0000672079 0.0001045710 206655.058 206063.099 206175.513 3.26851 -15.51641 0.04022 0.0002381270 -4.09908 58.003 0.008951 797.854 288.922 0.00006031554 0.00026022152 0.0000666723 0.0001044523 207152.005 206579.723 206680.175 3.30582 -15.71947 0.04640 0.0002374726 -4.23439 59.001 0.009105 798.416 289.140 0.00005993878 0.00026037499 0.0000661388 0.0001043242 207664.706 207111.735 207200.718 3.34215 -15.91923 0.05277 0.0002368110 -4.37152 60.006 0.009260 798.999 289.365 0.00005956316 0.00026051897 0.0000656042 0.0001041859 208196.690 207662.762 207740.723 3.37771 -16.11692 0.05937 0.0002361381 -4.51135 61.003 0.009414 799.594 289.594 0.00005919361 0.00026065150 0.0000650756 0.0001040392 208741.140 208225.710 208293.267 3.41203 -16.30991 0.06613 0.0002354628 -4.65204 62.001 0.009568 800.205 289.828 0.00005882777 0.00026077345 0.0000645495 0.0001038834 209301.485 208804.101 208861.828 3.44532 -16.49945 0.07309 0.0002347809 -4.79447 63.006 0.009723 800.836 290.068 0.00005846341 0.00026088538 0.0000640229 0.0001037173 209881.570 209401.860 209450.302 3.47777 -16.68666 0.08029 0.0002340882 -4.93956 64.004 0.009877 801.480 290.312 0.00005810530 0.00026098575 0.0000635027 0.0001035432 210473.960 210011.288 210051.145 3.50897 -16.86908 0.08764 0.0002333938 -5.08541 65.002 0.010031 802.139 290.561 0.00005775118 0.00026107521 0.0000629855 0.0001033600 211082.399 210636.203 210668.152 3.53909 -17.04786 0.09518 0.0002326935 -5.23293 66.006 0.010186 802.820 290.817 0.00005739886 0.00026115411 0.0000624683 0.0001031666 211711.049 211280.827 211305.540 3.56833 -17.22408 0.10298 0.0002319829 -5.38305 67.004 0.010340 803.511 291.077 0.00005705300 0.00026122132 0.0000619579 0.0001029655 212351.858 211936.849 211955.140 3.59629 -17.39539 0.11093 0.0002312713 -5.53383 68.002 0.010494 804.219 291.341 0.00005671140 0.00026127727 0.0000614510 0.0001027555 213008.889 212608.383 212621.070 3.62314 -17.56288 0.11907 0.0002305545 -5.68619 69.006 0.010649 804.948 291.612 0.00005637197 0.00026132209 0.0000609446 0.0001025353 213686.633 213299.940 213307.878 3.64905 -17.72753 0.12748 0.0002298279 -5.84111 70.004 0.010803 805.687 291.887 0.00005603920 0.00026135506 0.0000604454 0.0001023077 214376.420 214002.588 214006.774 3.67366 -17.88716 0.13603 0.0002291011 -5.99656 71.002 0.010957 806.443 292.166 0.00005571097 0.00026137638 0.0000599502 0.0001020715 215082.656 214720.717 214722.228 3.69713 -18.04277 0.14478 0.0002283698 -6.15351 72.006 0.011112 807.220 292.453 0.00005538533 0.00026138591 0.0000594561 0.0001018251 215810.210 215459.084 215459.184 3.71959 -18.19526 0.15379 0.0002276292 -6.31297 73.004 0.011266 808.007 292.742 0.00005506655 0.00026138351 0.0000589695 0.0001015717 216549.719 216208.390 216207.918 3.74075 -18.34261 0.16293 0.0002268892 -6.47284 74.002 0.011420 808.809 293.037 0.00005475243 0.00026136984 0.0000584873 0.0001013099 217304.843 216974.352 216972.069 3.76079 -18.48595 0.17218 0.0002261452 -6.63412 75.000 0.011574 809.625 293.338 0.00005444304 0.00026134479 0.0000580098 0.0001010397 218075.384 217756.993 217751.730 3.77970 -18.62523 0.18155 0.0002253976 -6.79678 76.005 0.011729 810.462 293.647 0.00005413651 0.00026130797 0.0000575341 0.0001007594 218866.552 218561.533 218552.163 3.79759 -18.76126 0.19110 0.0002246415 -6.96185 77.003 0.011883 811.306 293.959 0.00005383691 0.00026125972 0.0000570663 0.0001004727 219668.174 219377.573 219363.065 3.81421 -18.89220 0.20072 0.0002238871 -7.12718 78.000 0.012037 812.166 294.276 0.00005354235 0.00026119975 0.0000566036 0.0001001780 220485.328 220210.242 220189.562 3.82968 -19.01889 0.21047 0.0002231296 -7.29380 79.005 0.012192 813.044 294.601 0.00005325106 0.00026112745 0.0000561432 0.0000998732 221323.483 221065.098 221037.178 3.84408 -19.14204 0.22044 0.0002223643 -7.46275 80.003 0.012346 813.931 294.930 0.00005296692 0.00026104363 0.0000556910 0.0000995624 222171.831 221931.102 221894.975 3.85722 -19.25999 0.23049 0.0002216014 -7.63183 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300.128 0.00010763664 0.00019567623 0.0001048727 0.0000688355 247136.857 244858.025 246833.731 4.26886 16.79105 3.54790 0.0002400562 0.52970 307.004 0.047377 837.804 299.696 0.00010733756 0.00019650604 0.0001049537 0.0000693781 245911.084 243621.854 245596.486 4.32059 16.51643 3.53277 0.0002406798 0.68223 308.002 0.047531 836.626 299.269 0.00010703237 0.00019733550 0.0001050253 0.0000699220 244700.266 242401.609 244374.284 4.37288 16.23904 3.51782 0.0002412954 0.83199 309.006 0.047686 835.451 298.846 0.00010671919 0.00019816978 0.0001050878 0.0000704707 243496.817 241189.637 243159.476 4.42608 15.95715 3.50296 0.0002419065 0.97992 310.004 0.047840 834.295 298.432 0.00010640220 0.00019899793 0.0001051403 0.0000710168 242316.381 240001.677 241967.865 4.47949 15.67451 3.48838 0.0002425051 1.12409 311.002 0.047994 833.150 298.023 0.00010607954 0.00019982512 0.0001051833 0.0000715637 241151.255 238829.955 240791.682 4.53345 15.38939 3.47399 0.0002430951 1.26546 312.006 0.048149 832.008 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295.327 0.00010366906 0.00020558439 0.0001052168 0.0000754088 233417.975 231075.079 232984.879 4.92679 13.32827 3.37849 0.0002469736 2.17698 319.005 0.049229 824.389 294.964 0.00010330352 0.00020640291 0.0001051831 0.0000759599 232371.852 230029.193 231928.864 4.98530 13.02470 3.36557 0.0002474910 2.29622 320.003 0.049383 823.353 294.611 0.00010293587 0.00020721368 0.0001051400 0.0000765068 231348.494 229006.847 230895.858 5.04391 12.72141 3.35294 0.0002479949 2.41178 321.000 0.049537 822.330 294.263 0.00010256387 0.00020802185 0.0001050874 0.0000770530 230341.139 228001.260 229879.041 5.10300 12.41655 3.34050 0.0002484884 2.52445 322.005 0.049692 821.313 293.919 0.00010218520 0.00020883249 0.0001050249 0.0000776016 229343.440 227006.086 228872.008 5.16295 12.10818 3.32818 0.0002489745 2.63491 323.003 0.049846 820.316 293.584 0.00010180487 0.00020963501 0.0001049532 0.0000781455 228368.299 226034.177 227887.787 5.22296 11.80038 3.31614 0.0002494468 2.74175 324.001 0.050000 819.333 293.255 0.00010142057 0.00021043452 0.0001048721 0.0000786881 227409.255 225079.068 226919.858 5.28343 11.49123 3.30430 0.0002499082 2.84567 325.005 0.050155 818.357 292.930 0.00010102989 0.00021123603 0.0001047809 0.0000792327 226460.259 224134.724 225962.119 5.34472 11.17880 3.29258 0.0002503617 2.94733 326.003 0.050309 817.401 292.613 0.00010063797 0.00021202910 0.0001046809 0.0000797722 225533.571 223213.329 225026.948 5.40605 10.86717 3.28114 0.0002508011 3.04540 327.001 0.050463 816.459 292.303 0.00010024244 0.00021281876 0.0001045715 0.0000803098 224623.031 222308.731 224108.128 5.46779 10.55443 3.26990 0.0002512293 3.14056 328.005 0.050618 815.525 291.997 0.00009984079 0.00021361002 0.0001044520 0.0000808489 223722.893 221415.213 223199.862 5.53034 10.23860 3.25879 0.0002516489 3.23338 329.003 0.050772 814.611 291.699 0.00009943834 0.00021439252 0.0001043239 0.0000813823 222844.775 220544.291 222313.878 5.59287 9.92382 3.24795 0.0002520542 3.32268 330.001 0.050926 813.712 291.407 0.00009903260 0.00021517129 0.0001041865 0.0000819135 221982.820 219690.132 221444.266 5.65579 9.60814 3.23731 0.0002524480 3.40906 331.006 0.051081 812.821 291.119 0.00009862102 0.00021595123 0.0001040389 0.0000824456 221131.588 218847.335 220585.537 5.71949 9.28955 3.22681 0.0002528325 3.49305 332.004 0.051235 811.951 290.840 0.00009820902 0.00021672216 0.0001038830 0.0000829716 220302.056 218026.752 219748.770 5.78313 8.97225 3.21657 0.0002532026 3.57357 333.001 0.051389 811.095 290.567 0.00009779406 0.00021748905 0.0001037180 0.0000834948 219488.674 217222.869 218928.364 5.84712 8.65423 3.20654 0.0002535609 3.65118 334.006 0.051544 810.249 290.298 0.00009737352 0.00021825671 0.0001035428 0.0000840185 218686.307 216430.603 218119.140 5.91186 8.33351 3.19664 0.0002539093 3.72634 335.004 0.051698 809.423 290.037 0.00009695292 0.00021901515 0.0001033596 0.0000845356 217905.295 215660.148 217331.530 5.97649 8.01427 3.18700 0.0002542432 3.79810 336.002 0.051852 808.613 289.782 0.00009652968 0.00021976925 0.0001031674 0.0000850495 217140.395 214906.309 216560.243 6.04143 7.69452 3.17757 0.0002545649 3.86695 337.006 0.052007 807.812 289.532 0.00009610111 0.00022052375 0.0001029650 0.0000855632 216386.778 214164.319 215800.414 6.10709 7.37223 3.16827 0.0002548763 3.93331 338.004 0.052161 807.031 289.290 0.00009567284 0.00022126884 0.0001027550 0.0000860701 215654.151 213443.720 215061.827 6.17261 7.05162 3.15924 0.0002551731 3.99634 339.002 0.052315 806.266 289.054 0.00009524222 0.00022200931 0.0001025362 0.0000865732 214937.577 212739.635 214339.506 6.23839 6.73068 3.15040 0.0002554575 4.05646 340.006 0.052470 805.511 288.822 0.00009480651 0.00022274984 0.0001023072 0.0000870757 214232.538 212047.616 213628.895 6.30484 6.40737 3.14171 0.0002557309 4.11405 341.004 0.052624 804.777 288.599 0.00009437143 0.00022348079 0.0001020710 0.0000875708 213548.107 211376.554 212939.140 6.37111 6.08593 3.13327 0.0002559898 4.16838 342.002 0.052778 804.058 288.381 0.00009393428 0.00022420687 0.0001018261 0.0000880618 212879.656 210721.892 212265.577 6.43760 5.76432 3.12503 0.0002562360 4.21981 343.000 0.052932 803.355 288.169 0.00009349515 0.00022492801 0.0001015728 0.0000885484 212227.159 210083.591 211608.177 6.50430 5.44260 3.11699 0.0002564693 4.26838 344.004 0.053087 802.663 287.962 0.00009305125 0.00022564875 0.0001013093 0.0000890337 211586.507 209457.625 210962.801 6.57163 5.11874 3.10909 0.0002566910 4.31435 345.002 0.053241 801.991 287.763 0.00009260840 0.00022635972 0.0001010391 0.0000895112 210965.938 208852.027 210337.747 6.63870 4.79697 3.10145 0.0002568983 4.35715 346.000 0.053395 801.335 287.570 0.00009216383 0.00022706551 0.0001007607 0.0000899839 210361.235 208262.666 209728.766 6.70594 4.47525 3.09400 0.0002570926 4.39710 347.005 0.053550 800.691 287.381 0.00009171472 0.00022777059 0.0001004721 0.0000904547 209768.597 207685.831 209132.031 6.77377 4.15154 3.08670 0.0002572748 4.43442 348.003 0.053704 800.067 287.200 0.00009126696 0.00022846579 0.0001001773 0.0000909174 209195.640 207128.920 208555.208 6.84130 3.83008 3.07964 0.0002574427 4.46865 349.001 0.053858 799.459 287.025 0.00009081773 0.00022915560 0.0000998745 0.0000913749 208638.457 206588.118 207994.362 6.90894 3.50882 3.07278 0.0002575974 4.50004 350.005 0.054013 798.864 286.855 0.00009036420 0.00022984437 0.0000995617 0.0000918299 208093.551 206060.026 207445.974 6.97714 3.18573 3.06607 0.0002577396 4.52877 351.003 0.054167 798.288 286.692 0.00008991228 0.00023052316 0.0000992431 0.0000922766 207567.921 205551.416 206917.087 7.04498 2.86503 3.05960 0.0002578676 4.55449 352.001 0.054321 797.728 286.535 0.00008945914 0.00023119636 0.0000989167 0.0000927176 207057.968 205058.786 206404.076 7.11290 2.54468 3.05333 0.0002579823 4.57739 353.005 0.054476 797.182 286.383 0.00008900191 0.00023186822 0.0000985805 0.0000931556 206560.501 204579.050 205903.732 7.18132 2.22265 3.04720 0.0002580842 4.59761 354.003 0.054630 796.655 286.238 0.00008854656 0.00023253000 0.0000982390 0.0000935850 206081.906 204118.354 205422.476 7.24934 1.90315 3.04132 0.0002581720 4.61489 355.001 0.054784 796.144 286.099 0.00008809023 0.00023318601 0.0000978900 0.0000940083 205618.890 203673.512 204956.994 7.31739 1.58413 3.03562 0.0002582463 4.62939 356.005 0.054939 795.647 285.965 0.00008763001 0.00023384037 0.0000975314 0.0000944281 205168.566 203241.747 204504.386 7.38590 1.26359 3.03009 0.0002583075 4.64117 357.003 0.055093 795.169 285.838 0.00008717193 0.00023448459 0.0000971678 0.0000948390 204736.713 202828.588 204070.456 7.45396 0.94570 3.02478 0.0002583548 4.65009 358.001 0.055247 794.708 285.717 0.00008671310 0.00023512284 0.0000967971 0.0000952435 204320.344 202431.159 203652.201 7.52201 0.62844 3.01966 0.0002583886 4.65626 359.006 0.055402 794.260 285.601 0.00008625059 0.00023575915 0.0000964170 0.0000956440 203916.873 202046.993 203247.025 7.59046 0.30979 3.01470 0.0002584090 4.65969 360.004 0.055556 793.832 285.492 0.00008579046 0.00023638525 0.0000960324 0.0000960353 203531.477 201681.007 202860.124 7.65842 -0.00608 3.00997 0.0002584157 4.66034 Engine speed (Hz) = 18.0000000000 Output power (W) = 83.8860964780 Heat into heater (W) = 137.8514871993 Heat to regenerator (W) = -0.1094218204 Heat removal from cooler (W) = 54.1794889962 Approximate Pumping loss (W) = -4.9259040985 Thermal efficiency (%) = 60.8525146753 The average engine pressure (Pa) = 271881.4598058094 The exp space work per cycle (J) = 7.6585495346 The comp space work per cycle (J) = -2.9982108414 The net work per cycle (J) = 4.6603386932 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.6881421768 The expansion work for Vmin-to-Vmax (J) = 26.3484808700 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000001 794.122 285.569 0.00008583101 0.00023630041 0.0000960313 0.0000960364 203704.422 201660.760 202963.354 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000147 793.709 285.466 0.00008536962 0.00023692161 0.0000956397 0.0000964212 203333.362 201311.304 202590.811 0.06788 -0.31565 -0.00456 0.0002584089 -0.00216 2.004 0.000293 793.313 285.369 0.00008490776 0.00023753660 0.0000952414 0.0000967991 202977.661 200977.447 202233.833 0.13568 -0.63050 -0.00892 0.0002583885 -0.00704 3.002 0.000439 792.934 285.277 0.00008444549 0.00023814533 0.0000948366 0.0000971700 202637.292 200659.153 201892.392 0.20338 -0.94452 -0.01310 0.0002583546 -0.01464 4.001 0.000585 792.571 285.192 0.00008398288 0.00023874775 0.0000944254 0.0000975338 202312.227 200356.386 201566.459 0.27097 -1.25766 -0.01709 0.0002583072 -0.02494 5.007 0.000732 792.223 285.112 0.00008351684 0.00023934785 0.0000940050 0.0000978927 202000.370 200067.197 201253.931 0.33889 -1.57201 -0.02091 0.0002582458 -0.03803 6.005 0.000878 791.893 285.038 0.00008305377 0.00023993742 0.0000935814 0.0000982419 201705.938 199795.486 200959.034 0.40621 -1.88325 -0.02452 0.0002581713 -0.05372 7.004 0.001024 791.581 284.970 0.00008259058 0.00024052049 0.0000931517 0.0000985836 201426.731 199539.200 200679.563 0.47336 -2.19349 -0.02794 0.0002580833 -0.07207 8.002 0.001170 791.285 284.908 0.00008212733 0.00024109702 0.0000927161 0.0000989178 201162.727 199298.307 200415.490 0.54034 -2.50268 -0.03117 0.0002579819 -0.09309 9.001 0.001316 791.006 284.852 0.00008166409 0.00024166694 0.0000922747 0.0000992444 200913.901 199072.778 200166.793 0.60712 -2.81078 -0.03421 0.0002578671 -0.11676 10.007 0.001463 790.742 284.801 0.00008119776 0.00024223403 0.0000918247 0.0000995654 200678.683 198861.196 199931.903 0.67415 -3.11986 -0.03708 0.0002577381 -0.14324 11.005 0.001609 790.496 284.756 0.00008073474 0.00024279052 0.0000913722 0.0000998763 200460.253 198666.411 199713.993 0.74050 -3.42565 -0.03975 0.0002575965 -0.17218 12.004 0.001755 790.268 284.717 0.00008027194 0.00024334023 0.0000909143 0.0001001793 200256.940 198486.905 199511.391 0.80660 -3.73024 -0.04223 0.0002574416 -0.20373 13.002 0.001901 790.056 284.684 0.00007980941 0.00024388310 0.0000904513 0.0001004743 200068.723 198322.651 199324.078 0.87245 -4.03358 -0.04452 0.0002572735 -0.23788 14.001 0.002047 789.861 284.657 0.00007934723 0.00024441908 0.0000899831 0.0001007611 199895.587 198173.627 199152.035 0.93802 -4.33563 -0.04662 0.0002570923 -0.27461 15.007 0.002194 789.682 284.635 0.00007888230 0.00024495171 0.0000895068 0.0001010416 199736.485 198038.945 198994.224 1.00374 -4.63841 -0.04855 0.0002568965 -0.31419 16.005 0.002340 789.521 284.619 0.00007842101 0.00024547368 0.0000890289 0.0001013119 199593.565 197920.415 198852.776 1.06871 -4.93775 -0.05029 0.0002566889 -0.35608 17.004 0.002486 789.376 284.609 0.00007796026 0.00024598857 0.0000885464 0.0001015739 199465.681 197817.049 198726.550 1.13335 -5.23568 -0.05183 0.0002564683 -0.40051 18.003 0.002632 789.249 284.605 0.00007750011 0.00024649634 0.0000880594 0.0001018274 199352.821 197728.829 198615.534 1.19766 -5.53217 -0.05319 0.0002562348 -0.44747 19.001 0.002778 789.139 284.606 0.00007704064 0.00024699692 0.0000875681 0.0001020723 199254.973 197655.736 198519.715 1.26160 -5.82716 -0.05436 0.0002559884 -0.49695 20.007 0.002925 789.044 284.613 0.00007657876 0.00024749360 0.0000870691 0.0001023103 199171.614 197597.410 198438.583 1.32560 -6.12263 -0.05535 0.0002557274 -0.54931 21.005 0.003071 788.968 284.625 0.00007612082 0.00024797956 0.0000865695 0.0001025379 199103.868 197554.629 198373.233 1.38878 -6.41451 -0.05615 0.0002554554 -0.60381 22.004 0.003217 788.908 284.644 0.00007566376 0.00024845816 0.0000860660 0.0001027568 199051.112 197526.931 198323.055 1.45155 -6.70479 -0.05677 0.0002551708 -0.66079 23.003 0.003363 788.866 284.668 0.00007520762 0.00024892932 0.0000855588 0.0001029668 199013.339 197514.305 198288.040 1.51390 -6.99341 -0.05719 0.0002548736 -0.72024 24.001 0.003509 788.840 284.697 0.00007475247 0.00024939298 0.0000850479 0.0001031680 198990.547 197516.741 198268.186 1.57580 -7.28035 -0.05744 0.0002545640 -0.78214 25.007 0.003656 788.831 284.732 0.00007429528 0.00024985218 0.0000845301 0.0001033616 198982.732 197534.399 198263.510 1.63767 -7.56750 -0.05749 0.0002542397 -0.84692 26.005 0.003802 788.839 284.773 0.00007384232 0.00025030061 0.0000840126 0.0001035448 198989.998 197567.033 198274.073 1.69864 -7.85093 -0.05736 0.0002539054 -0.91370 27.004 0.003948 788.864 284.819 0.00007339055 0.00025074134 0.0000834919 0.0001037190 199012.244 197614.705 198299.792 1.75913 -8.13254 -0.05705 0.0002535589 -0.98288 28.003 0.004094 788.906 284.871 0.00007294004 0.00025117432 0.0000829683 0.0001038840 199049.471 197677.409 198340.669 1.81910 -8.41230 -0.05655 0.0002532003 -1.05446 29.001 0.004240 788.965 284.929 0.00007249084 0.00025159948 0.0000824419 0.0001040399 199101.683 197755.143 198396.706 1.87856 -8.69017 -0.05586 0.0002528298 -1.12841 30.007 0.004387 789.042 284.992 0.00007203996 0.00025201959 0.0000819092 0.0001041876 199169.397 197848.590 198468.449 1.93788 -8.96799 -0.05499 0.0002524448 -1.20526 31.005 0.004533 789.134 285.061 0.00007159360 0.00025242885 0.0000813776 0.0001043250 199251.701 197956.479 198554.928 1.99623 -9.24194 -0.05393 0.0002520507 -1.28394 32.004 0.004679 789.244 285.135 0.00007114876 0.00025283008 0.0000808438 0.0001044532 199349.010 198079.394 198656.586 2.05402 -9.51387 -0.05269 0.0002516450 -1.36495 33.003 0.004825 789.371 285.214 0.00007070550 0.00025322322 0.0000803078 0.0001045720 199461.336 198217.336 198773.434 2.11122 -9.78374 -0.05126 0.0002512277 -1.44828 34.001 0.004971 789.515 285.299 0.00007026388 0.00025360820 0.0000797698 0.0001046814 199588.691 198370.309 198905.481 2.16781 -10.05151 -0.04964 0.0002507992 -1.53391 35.007 0.005118 789.676 285.391 0.00006982097 0.00025398748 0.0000792262 0.0001047821 199732.113 198539.519 199053.802 2.22416 -10.31895 -0.04783 0.0002503563 -1.62243 36.005 0.005264 789.854 285.487 0.00006938286 0.00025435585 0.0000786847 0.0001048727 199889.668 198722.670 199216.392 2.27950 -10.58237 -0.04584 0.0002499054 -1.71263 37.004 0.005410 790.048 285.588 0.00006894659 0.00025471583 0.0000781417 0.0001049538 200062.296 198920.867 199394.225 2.33418 -10.84356 -0.04366 0.0002494435 -1.80507 38.003 0.005556 790.259 285.695 0.00006851224 0.00025506736 0.0000775974 0.0001050254 200250.014 199134.118 199587.317 2.38819 -11.10248 -0.04130 0.0002489708 -1.89975 39.001 0.005702 790.487 285.808 0.00006807988 0.00025541034 0.0000770519 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0.00011072716 0.00018567973 0.0001031685 0.0000624732 263112.202 260831.352 262933.186 3.68806 19.83522 3.75570 0.0002319897 -1.53158 295.002 0.043129 852.895 305.280 0.00011051371 0.00018649543 0.0001033607 0.0000629874 261720.734 259414.682 261529.176 3.73277 19.60260 3.73853 0.0002326962 -1.34733 296.001 0.043275 851.612 304.787 0.00011029232 0.00018731372 0.0001035440 0.0000635050 260341.899 258011.794 260137.681 3.77807 19.36588 3.72150 0.0002333970 -1.16558 297.006 0.043422 850.327 304.295 0.00011006154 0.00018813994 0.0001037193 0.0000640292 258966.641 256613.481 258749.578 3.82426 19.12350 3.70452 0.0002340966 -0.98514 298.005 0.043568 849.059 303.812 0.00010982467 0.00018896258 0.0001038844 0.0000645528 257613.914 255239.011 257384.018 3.87071 18.87888 3.68782 0.0002347852 -0.80848 299.003 0.043714 847.798 303.334 0.00010958031 0.00018978699 0.0001040403 0.0000650793 256274.546 253879.053 256031.766 3.91775 18.63051 3.67127 0.0002354675 -0.63439 300.002 0.043860 846.546 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300.141 0.00010767121 0.00019559243 0.0001048723 0.0000688327 247281.505 244773.524 246948.519 4.26358 16.79419 3.56016 0.0002400530 0.51105 307.006 0.044884 838.015 299.705 0.00010737039 0.00019642797 0.0001049539 0.0000693795 246047.696 243528.009 245701.957 4.31559 16.51782 3.54491 0.0002406814 0.66470 308.005 0.045030 836.837 299.279 0.00010706546 0.00019725751 0.0001050255 0.0000699238 244837.267 242307.025 244478.957 4.36781 16.24054 3.52995 0.0002412973 0.81453 309.003 0.045176 835.671 298.858 0.00010675456 0.00019808652 0.0001050876 0.0000704693 243641.901 241102.156 243271.125 4.42059 15.96057 3.51517 0.0002419050 0.96157 310.002 0.045322 834.515 298.442 0.00010643783 0.00019891480 0.0001051402 0.0000710158 242461.713 239913.503 242078.591 4.47393 15.67802 3.50058 0.0002425041 1.10581 311.001 0.045468 833.370 298.033 0.00010611539 0.00019974217 0.0001051833 0.0000715631 241296.814 238741.158 240901.473 4.52782 15.39298 3.48618 0.0002430944 1.24724 312.006 0.045615 832.229 297.628 0.00010578514 0.00020057408 0.0001052170 0.0000721149 240139.484 237577.346 239731.981 4.58263 15.10357 3.47188 0.0002436799 1.38678 313.005 0.045761 831.107 297.231 0.00010545171 0.00020139904 0.0001052409 0.0000726634 239005.563 236437.976 238586.130 4.63760 14.81382 3.45786 0.0002442523 1.52253 314.004 0.045907 829.997 296.840 0.00010511299 0.00020222253 0.0001052552 0.0000732122 237887.210 235315.142 237456.004 4.69311 14.52187 3.44404 0.0002448155 1.65543 315.002 0.046053 828.899 296.455 0.00010476914 0.00020304438 0.0001052600 0.0000737612 236784.504 234208.905 236341.690 4.74914 14.22780 3.43040 0.0002453692 1.78546 316.001 0.046199 827.812 296.076 0.00010442027 0.00020386443 0.0001052552 0.0000743102 235697.517 233119.318 235243.267 4.80569 13.93171 3.41697 0.0002459134 1.91263 317.006 0.046346 826.731 295.701 0.00010406409 0.00020468809 0.0001052407 0.0000748628 234619.031 232039.136 234153.449 4.86315 13.63163 3.40364 0.0002464515 2.03777 318.005 0.046492 825.669 295.335 0.00010370557 0.00020550402 0.0001052167 0.0000754113 233563.778 230983.095 233087.128 4.92072 13.33174 3.39059 0.0002469760 2.15915 319.004 0.046638 824.620 294.975 0.00010334244 0.00020631766 0.0001051831 0.0000759593 232524.420 229943.823 232036.895 4.97878 13.03008 3.37774 0.0002474905 2.27765 320.002 0.046784 823.584 294.621 0.00010297481 0.00020712887 0.0001051400 0.0000765067 231501.005 228921.348 231002.801 5.03733 12.72675 3.36509 0.0002479947 2.39324 321.001 0.046930 822.561 294.273 0.00010260283 0.00020793749 0.0001050874 0.0000770531 230493.573 227915.691 229984.893 5.09636 12.42181 3.35264 0.0002484886 2.50594 322.006 0.047077 821.544 293.929 0.00010222401 0.00020874891 0.0001050248 0.0000776024 229495.425 226920.154 228976.407 5.15626 12.11325 3.34030 0.0002489752 2.61646 323.005 0.047223 820.548 293.593 0.00010184364 0.00020955193 0.0001049531 0.0000781467 228520.172 225948.294 227991.098 5.21621 11.80535 3.32825 0.0002494478 2.72331 324.004 0.047369 819.565 293.264 0.00010145927 0.00021035197 0.0001048719 0.0000786897 227560.996 224993.287 227022.081 5.27662 11.49608 3.31640 0.0002499096 2.82725 325.002 0.047515 818.595 292.941 0.00010107103 0.00021114888 0.0001047812 0.0000792312 226617.917 224055.136 226069.380 5.33746 11.18553 3.30474 0.0002503604 2.92826 326.001 0.047661 817.639 292.624 0.00010067903 0.00021194254 0.0001046812 0.0000797710 225690.954 223133.838 225133.016 5.39872 10.87377 3.29329 0.0002508002 3.02636 327.006 0.047808 816.691 292.312 0.00010028066 0.00021273823 0.0001045709 0.0000803127 224773.937 222223.252 224206.759 5.46083 10.55873 3.28196 0.0002512316 3.12217 328.005 0.047954 815.763 292.007 0.00009988146 0.00021352501 0.0001044520 0.0000808487 223879.351 221335.757 223303.223 5.52292 10.24476 3.27090 0.0002516487 3.21439 329.004 0.048100 814.850 291.709 0.00009947885 0.00021430818 0.0001043238 0.0000813825 223000.907 220465.086 222416.058 5.58540 9.92980 3.26005 0.0002520544 3.30369 330.002 0.048246 813.950 291.417 0.00009907292 0.00021508764 0.0001041863 0.0000819141 222138.610 219611.225 221545.268 5.64827 9.61391 3.24940 0.0002524484 3.39007 331.001 0.048392 813.065 291.132 0.00009866380 0.00021586326 0.0001040396 0.0000824431 221292.456 218774.154 220690.854 5.71150 9.29718 3.23895 0.0002528307 3.47352 332.006 0.048539 812.189 290.851 0.00009824876 0.00021664023 0.0001038826 0.0000829731 220456.813 217948.290 219847.128 5.77553 8.97748 3.22862 0.0002532037 3.55459 333.005 0.048685 811.333 290.577 0.00009783355 0.00021740786 0.0001037174 0.0000834967 219643.043 217144.845 219025.565 5.83947 8.65923 3.21857 0.0002535621 3.63218 334.004 0.048831 810.493 290.310 0.00009741546 0.00021817135 0.0001035432 0.0000840173 218845.396 216358.116 218220.358 5.90374 8.34032 3.20872 0.0002539085 3.70685 335.002 0.048977 809.667 290.050 0.00009699459 0.00021893060 0.0001033599 0.0000845349 218063.860 215588.073 217431.496 5.96834 8.02082 3.19907 0.0002542428 3.77860 336.001 0.049123 808.855 289.795 0.00009657105 0.00021968552 0.0001031676 0.0000850491 217298.420 214834.686 216658.966 6.03323 7.70079 3.18962 0.0002545647 3.84744 337.006 0.049270 808.054 289.545 0.00009614201 0.00022044115 0.0001029649 0.0000855634 216543.982 214092.933 215897.626 6.09887 7.37810 3.18031 0.0002548764 3.91380 338.005 0.049416 807.273 289.303 0.00009571341 0.00022118710 0.0001027548 0.0000860706 215810.792 213372.869 215157.816 6.16435 7.05720 3.17126 0.0002551735 3.97680 339.004 0.049562 806.508 289.067 0.00009528242 0.00022192846 0.0001025358 0.0000865741 215093.642 212669.357 214434.281 6.23009 6.73594 3.16241 0.0002554580 4.03689 340.002 0.049708 805.758 288.837 0.00009484915 0.00022266512 0.0001023081 0.0000870737 214392.510 211982.359 213726.997 6.29608 6.41440 3.15376 0.0002557298 4.09409 341.001 0.049854 805.023 288.613 0.00009441369 0.00022339701 0.0001020718 0.0000875692 213707.372 211311.835 213035.941 6.36232 6.09262 3.14530 0.0002559890 4.14839 342.006 0.050001 804.299 288.394 0.00009397314 0.00022412901 0.0001018251 0.0000880639 213033.674 210653.323 212356.519 6.42923 5.76847 3.13699 0.0002562370 4.20015 343.005 0.050147 803.595 288.183 0.00009353357 0.00022485108 0.0001015715 0.0000885509 212380.556 210015.741 211697.950 6.49590 5.44639 3.12894 0.0002564704 4.24866 344.004 0.050293 802.907 287.977 0.00009309208 0.00022556814 0.0001013095 0.0000890333 211743.353 209394.512 211055.526 6.56277 5.12426 3.12108 0.0002566909 4.29430 345.002 0.050439 802.235 287.778 0.00009264877 0.00022628011 0.0001010391 0.0000895112 211122.036 208789.593 210429.218 6.62981 4.80211 3.11341 0.0002568983 4.33706 346.001 0.050585 801.578 287.585 0.00009220373 0.00022698691 0.0001007605 0.0000899842 210516.576 208200.942 209818.996 6.69703 4.48000 3.10595 0.0002570927 4.37696 347.007 0.050732 800.934 287.397 0.00009175396 0.00022769327 0.0001004716 0.0000904555 209922.959 207624.650 209220.815 6.76486 4.15578 3.09863 0.0002572751 4.41425 348.005 0.050878 800.309 287.216 0.00009130569 0.00022838950 0.0001001766 0.0000909185 209349.230 207068.516 208642.780 6.83236 3.83391 3.09156 0.0002574431 4.44842 349.004 0.051024 799.700 287.041 0.00009085594 0.00022908034 0.0000998735 0.0000913763 208791.266 206528.519 208080.736 6.89999 3.51223 3.08469 0.0002575979 4.47975 350.002 0.051170 799.108 286.872 0.00009040478 0.00022976574 0.0000995625 0.0000918288 208249.035 206004.616 207534.648 6.96773 3.19081 3.07801 0.0002577393 4.50825 351.001 0.051316 798.532 286.710 0.00008995231 0.00023044563 0.0000992437 0.0000922757 207722.505 205496.765 207004.485 7.03556 2.86967 3.07152 0.0002578674 4.53392 352.007 0.051463 797.968 286.552 0.00008949550 0.00023112454 0.0000989148 0.0000927201 207208.200 205001.606 206486.745 7.10393 2.54668 3.06519 0.0002579829 4.55691 353.005 0.051609 797.424 286.401 0.00008904063 0.00023179316 0.0000985805 0.0000931556 206713.084 204525.835 205988.438 7.17189 2.22628 3.05909 0.0002580842 4.57694 354.004 0.051755 796.896 286.256 0.00008858469 0.00023245606 0.0000982387 0.0000935853 206233.572 204065.984 205505.954 7.23991 1.90632 3.05319 0.0002581720 4.59415 355.002 0.051901 796.385 286.118 0.00008812775 0.00023311320 0.0000978895 0.0000940089 205769.634 203622.012 205039.260 7.30795 1.58684 3.04748 0.0002582464 4.60858 356.001 0.052047 795.889 285.985 0.00008766988 0.00023376450 0.0000975329 0.0000944264 205321.236 203193.877 204588.322 7.37601 1.26789 3.04196 0.0002583073 4.62023 357.007 0.052194 795.408 285.858 0.00008720803 0.00023441429 0.0000971666 0.0000948403 204885.437 202778.766 204150.181 7.44453 0.94733 3.03660 0.0002583550 4.62915 358.005 0.052340 794.946 285.737 0.00008674854 0.00023505369 0.0000967956 0.0000952451 204468.133 202382.288 203730.765 7.51258 0.62958 3.03147 0.0002583887 4.63523 359.004 0.052486 794.500 285.622 0.00008628836 0.00023568706 0.0000964177 0.0000956433 204066.276 202001.523 203327.007 7.58059 0.31249 3.02653 0.0002584090 4.63856 360.003 0.052632 794.071 285.513 0.00008582756 0.00023631436 0.0000960329 0.0000960349 203679.836 201636.432 202938.875 7.64855 -0.00388 3.02178 0.0002584157 4.63915 Engine speed (Hz) = 19.0000000000 Output power (W) = 88.1437644628 Heat into heater (W) = 145.3224044489 Heat to regenerator (W) = -0.0737751796 Heat removal from cooler (W) = 57.4139109309 Approximate Pumping loss (W) = -5.7297266508 Thermal efficiency (%) = 60.6539403178 The average engine pressure (Pa) = 271904.5579829392 The exp space work per cycle (J) = 7.6496903305 The comp space work per cycle (J) = -3.0105448324 The net work per cycle (J) = 4.6391454980 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7005425619 The expansion work for Vmin-to-Vmax (J) = 26.3396880600 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000001 794.371 285.590 0.00008586891 0.00023622754 0.0000960310 0.0000960367 203858.766 201613.164 203044.897 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000139 793.959 285.488 0.00008540949 0.00023684638 0.0000956414 0.0000964195 203488.762 201266.668 202673.238 0.06749 -0.31435 -0.00455 0.0002584089 -0.00222 2.002 0.000278 793.562 285.391 0.00008494626 0.00023746351 0.0000952423 0.0000967983 203131.421 200933.272 202314.458 0.13539 -0.63019 -0.00894 0.0002583886 -0.00718 3.002 0.000417 793.181 285.300 0.00008448261 0.00023807437 0.0000948366 0.0000971700 202789.450 200615.506 201971.276 0.20319 -0.94519 -0.01313 0.0002583546 -0.01487 4.003 0.000556 792.816 285.215 0.00008401861 0.00023867890 0.0000944245 0.0000975345 202462.824 200313.335 201643.663 0.27088 -1.25932 -0.01714 0.0002583070 -0.02527 5.004 0.000695 792.469 285.136 0.00008355434 0.00023927704 0.0000940061 0.0000978918 202151.514 200026.721 201331.591 0.33845 -1.57253 -0.02096 0.0002582459 -0.03837 6.005 0.000834 792.138 285.062 0.00008308986 0.00023986873 0.0000935815 0.0000982418 201855.496 199755.632 201035.033 0.40587 -1.88477 -0.02459 0.0002581713 -0.05417 7.006 0.000973 791.824 284.995 0.00008262525 0.00024045391 0.0000931509 0.0000985843 201574.745 199500.033 200753.962 0.47313 -2.19601 -0.02803 0.0002580832 -0.07265 8.006 0.001112 791.526 284.933 0.00008216057 0.00024103252 0.0000927143 0.0000989192 201309.237 199259.893 200488.354 0.54022 -2.50621 -0.03127 0.0002579815 -0.09380 9.007 0.001251 791.245 284.877 0.00008169589 0.00024160451 0.0000922720 0.0000992464 201058.949 199035.180 200238.183 0.60711 -2.81532 -0.03433 0.0002578664 -0.11760 10.001 0.001389 790.983 284.827 0.00008123463 0.00024216577 0.0000918273 0.0000995636 200825.497 198827.316 200005.061 0.67332 -3.12109 -0.03719 0.0002577388 -0.14385 11.002 0.001528 790.736 284.783 0.00008077016 0.00024272439 0.0000913738 0.0000998752 200605.477 198633.260 199785.588 0.73978 -3.42791 -0.03987 0.0002575970 -0.17292 12.002 0.001667 790.506 284.745 0.00008030590 0.00024327620 0.0000909150 0.0001001789 200400.616 198454.546 199581.487 0.80600 -3.73352 -0.04237 0.0002574419 -0.20460 13.003 0.001806 790.293 284.712 0.00007984191 0.00024382116 0.0000904509 0.0001004745 200210.895 198291.149 199392.739 0.87196 -4.03788 -0.04468 0.0002572734 -0.23890 14.004 0.001945 790.096 284.685 0.00007937826 0.00024435920 0.0000899818 0.0001007619 200036.297 198143.043 199219.324 0.93765 -4.34095 -0.04680 0.0002570917 -0.27579 15.005 0.002084 789.917 284.664 0.00007891501 0.00024489026 0.0000895077 0.0001010411 199876.808 198010.205 199061.228 1.00304 -4.64269 -0.04873 0.0002568968 -0.31526 16.006 0.002223 789.754 284.648 0.00007845224 0.00024541429 0.0000890288 0.0001013120 199732.412 197892.614 198918.433 1.06813 -4.94305 -0.05048 0.0002566888 -0.35731 17.006 0.002362 789.608 284.639 0.00007799000 0.00024593122 0.0000885452 0.0001015745 199603.096 197790.248 198790.925 1.13289 -5.24201 -0.05204 0.0002564677 -0.40191 18.007 0.002501 789.479 284.635 0.00007752837 0.00024644099 0.0000880571 0.0001018285 199488.849 197703.089 198678.692 1.19731 -5.53951 -0.05341 0.0002562337 -0.44906 19.001 0.002639 789.368 284.637 0.00007707072 0.00024693996 0.0000875683 0.0001020722 199390.320 197631.583 198582.365 1.26091 -5.83339 -0.05459 0.0002559885 -0.49837 20.002 0.002778 789.273 284.644 0.00007661049 0.00024743529 0.0000870716 0.0001023091 199306.073 197574.676 198500.539 1.32460 -6.12788 -0.05559 0.0002557287 -0.55054 21.002 0.002917 789.195 284.657 0.00007615105 0.00024792329 0.0000865710 0.0001025372 199236.867 197532.926 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300.150 0.00010770362 0.00019551504 0.0001048728 0.0000688363 247417.437 244671.083 247053.371 4.25903 16.79239 3.57271 0.0002400571 0.49339 307.001 0.042639 838.243 299.719 0.00010740688 0.00019634014 0.0001049535 0.0000693765 246199.535 243440.318 245821.633 4.31031 16.51963 3.55765 0.0002406781 0.64519 308.002 0.042778 837.065 299.291 0.00010710186 0.00019717092 0.0001050253 0.0000699220 244987.710 242216.706 244595.973 4.36253 16.24209 3.54265 0.0002412954 0.79531 309.002 0.042917 835.898 298.869 0.00010679081 0.00019800121 0.0001050876 0.0000704687 243790.968 241009.332 243385.511 4.41531 15.96185 3.52784 0.0002419043 0.94263 310.003 0.043056 834.741 298.453 0.00010647388 0.00019883080 0.0001051403 0.0000710164 242609.426 239818.298 242190.377 4.46865 15.67899 3.51322 0.0002425047 1.08715 311.004 0.043195 833.596 298.043 0.00010615122 0.00019965950 0.0001051834 0.0000715649 241443.194 238643.695 241010.691 4.52254 15.39362 3.49879 0.0002430963 1.22883 312.005 0.043334 832.461 297.638 0.00010582296 0.00020048711 0.0001052170 0.0000721141 240292.373 237485.606 239846.567 4.57697 15.10584 3.48455 0.0002436791 1.36768 313.006 0.043473 831.338 297.241 0.00010548925 0.00020131347 0.0001052409 0.0000726638 239157.055 236344.105 238698.109 4.63195 14.81574 3.47050 0.0002442527 1.50367 314.006 0.043612 830.227 296.849 0.00010515022 0.00020213838 0.0001052553 0.0000732138 238037.329 235219.258 237565.411 4.68747 14.52340 3.45665 0.0002448171 1.63680 315.007 0.043751 829.128 296.463 0.00010480600 0.00020296167 0.0001052600 0.0000737640 236933.271 234111.126 236448.562 4.74351 14.22894 3.44298 0.0002453720 1.76706 316.001 0.043889 828.048 296.086 0.00010445927 0.00020377728 0.0001052552 0.0000743102 235852.727 233027.551 235355.507 4.79966 13.93456 3.42961 0.0002459134 1.89353 317.002 0.044028 826.973 295.713 0.00010410513 0.00020459685 0.0001052408 0.0000748603 234780.103 231952.873 234270.475 4.85673 13.63610 3.41634 0.0002464491 2.01804 318.002 0.044167 825.910 295.346 0.00010374621 0.00020541432 0.0001052168 0.0000754099 233723.344 230895.044 233201.511 4.91431 13.33577 3.40326 0.0002469747 2.13964 319.003 0.044306 824.860 294.985 0.00010338263 0.00020622952 0.0001051831 0.0000759591 232682.503 229854.095 232148.676 4.97238 13.03365 3.39038 0.0002474903 2.25834 320.004 0.044445 823.823 294.630 0.00010301452 0.00020704231 0.0001051399 0.0000765076 231657.628 228830.053 231112.022 5.03095 12.72983 3.37770 0.0002479956 2.37413 321.005 0.044584 822.799 294.281 0.00010264201 0.00020785253 0.0001050872 0.0000770553 230648.759 227822.938 230091.596 5.08999 12.42439 3.36522 0.0002484905 2.48701 322.006 0.044723 821.788 293.939 0.00010226523 0.00020866006 0.0001050248 0.0000776020 229655.933 226832.765 229087.441 5.14950 12.11741 3.35293 0.0002489748 2.59695 323.006 0.044862 820.790 293.603 0.00010188429 0.00020946474 0.0001049529 0.0000781475 228679.182 225859.545 228099.592 5.20947 11.80897 3.34085 0.0002494484 2.70398 324.007 0.045001 819.806 293.273 0.00010149932 0.00021026645 0.0001048716 0.0000786916 227718.533 224903.282 227128.079 5.26990 11.49915 3.32897 0.0002499112 2.80807 325.001 0.045139 818.842 292.952 0.00010111325 0.00021105932 0.0001047814 0.0000792304 226780.744 223970.676 226179.743 5.33032 11.19027 3.31736 0.0002503598 2.90851 326.002 0.045278 817.885 292.635 0.00010072060 0.00021185471 0.0001046811 0.0000797714 225852.242 223048.206 225240.859 5.39161 10.87793 3.30588 0.0002508005 3.00676 327.002 0.045417 816.942 292.324 0.00010032428 0.00021264674 0.0001045714 0.0000803105 224939.894 222142.684 224318.374 5.45332 10.56443 3.29459 0.0002512299 3.10207 328.003 0.045556 816.013 292.019 0.00009992438 0.00021343530 0.0001044523 0.0000808477 224043.710 221254.100 223412.302 5.51544 10.24985 3.28351 0.0002516480 3.19444 329.004 0.045695 815.098 291.720 0.00009952104 0.00021422026 0.0001043238 0.0000813827 223163.695 220382.440 222522.650 5.57795 9.93426 3.27263 0.0002520545 3.28387 330.005 0.045834 814.198 291.428 0.00009911436 0.00021500152 0.0001041860 0.0000819154 222299.853 219527.685 221649.423 5.64085 9.61773 3.26194 0.0002524494 3.37036 331.006 0.045973 813.312 291.142 0.00009870445 0.00021577896 0.0001040389 0.0000824456 221452.183 218689.816 220792.622 5.70412 9.30033 3.25146 0.0002528325 3.45392 332.006 0.046112 812.440 290.862 0.00009829142 0.00021655248 0.0001038826 0.0000829731 220620.680 217868.808 219952.244 5.76775 8.98212 3.24118 0.0002532037 3.53454 333.007 0.046251 811.583 290.589 0.00009787537 0.00021732197 0.0001037170 0.0000834978 219805.339 217064.637 219128.284 5.83173 8.66318 3.23110 0.0002535629 3.61222 334.001 0.046389 810.747 290.323 0.00009745944 0.00021808184 0.0001035437 0.0000840159 219011.840 216282.878 218326.484 5.89558 8.34587 3.22129 0.0002539075 3.68645 335.002 0.046528 809.920 290.062 0.00009703770 0.00021884300 0.0001033600 0.0000845345 218228.674 215512.171 217535.213 5.96022 8.02565 3.21161 0.0002542425 3.75829 336.002 0.046667 809.107 289.807 0.00009661326 0.00021959984 0.0001031673 0.0000850499 217461.633 214758.208 216760.325 6.02516 7.70489 3.20214 0.0002545652 3.82720 337.003 0.046806 808.310 289.559 0.00009618621 0.00022035226 0.0001029656 0.0000855618 216710.702 214020.957 216001.806 6.09040 7.38365 3.19286 0.0002548754 3.89319 338.004 0.046945 807.528 289.316 0.00009575666 0.00022110018 0.0001027550 0.0000860701 215975.861 213300.380 215259.635 6.15593 7.06198 3.18378 0.0002551731 3.95626 339.005 0.047084 806.761 289.080 0.00009532470 0.00022184349 0.0001025356 0.0000865747 215257.091 212596.441 214533.794 6.22172 6.73995 3.17490 0.0002554583 4.01642 340.006 0.047223 806.009 288.850 0.00009489043 0.00022258212 0.0001023074 0.0000870753 214554.370 211909.100 213824.260 6.28777 6.41763 3.16622 0.0002557307 4.07366 341.006 0.047362 805.273 288.626 0.00009445394 0.00022331598 0.0001020704 0.0000875719 213867.674 211238.318 213131.008 6.35406 6.09505 3.15774 0.0002559904 4.12799 342.007 0.047501 804.552 288.409 0.00009401534 0.00022404499 0.0001018249 0.0000880643 213196.979 210584.053 212454.013 6.42058 5.77229 3.14946 0.0002562372 4.17943 343.001 0.047639 803.852 288.198 0.00009357788 0.00022476387 0.0001015726 0.0000885488 212546.911 209950.795 211797.945 6.48683 5.45172 3.14143 0.0002564694 4.22762 344.002 0.047778 803.163 287.993 0.00009313532 0.00022548297 0.0001013101 0.0000890323 211908.023 209329.322 211153.266 6.55376 5.12875 3.13354 0.0002566904 4.27329 345.002 0.047917 802.489 287.794 0.00009269091 0.00022619698 0.0001010391 0.0000895112 211285.054 208724.239 210524.761 6.62087 4.80575 3.12586 0.0002568983 4.31608 346.003 0.048056 801.831 287.601 0.00009224474 0.00022690583 0.0001007598 0.0000899852 210677.975 208135.504 209912.399 6.68816 4.48279 3.11836 0.0002570931 4.35599 347.004 0.048195 801.189 287.414 0.00009179690 0.00022760944 0.0001004723 0.0000904544 210086.757 207563.072 209316.149 6.75559 4.15991 3.11107 0.0002572747 4.39303 348.005 0.048334 800.563 287.233 0.00009134747 0.00022830774 0.0001001767 0.0000909184 209511.369 207006.898 208735.980 6.82317 3.83717 3.10397 0.0002574431 4.42720 349.006 0.048473 799.953 287.058 0.00009089654 0.00022900065 0.0000998729 0.0000913772 208951.780 206466.939 208171.859 6.89087 3.51461 3.09707 0.0002575981 4.45852 350.006 0.048612 799.359 286.889 0.00009044419 0.00022968812 0.0000995612 0.0000918306 208407.960 205943.149 207623.753 6.95869 3.19228 3.09037 0.0002577398 4.48699 351.007 0.048751 798.781 286.727 0.00008999050 0.00023037006 0.0000992417 0.0000922785 207879.876 205435.485 207091.630 7.02660 2.87025 3.08386 0.0002578682 4.51263 352.001 0.048889 798.224 286.571 0.00008953884 0.00023104157 0.0000989167 0.0000927176 207371.126 204947.382 206579.114 7.09409 2.55086 3.07759 0.0002579823 4.53528 353.002 0.049028 797.678 286.420 0.00008908273 0.00023171232 0.0000985818 0.0000931541 206874.307 204471.722 206078.742 7.16214 2.22953 3.07147 0.0002580838 4.55528 354.002 0.049167 797.149 286.276 0.00008862553 0.00023237735 0.0000982392 0.0000935847 206393.129 204012.055 205594.253 7.23024 1.90864 3.06554 0.0002581719 4.57246 355.003 0.049306 796.636 286.137 0.00008816731 0.00023303659 0.0000978892 0.0000940092 205927.561 203568.339 205125.614 7.29837 1.58822 3.05981 0.0002582464 4.58684 356.004 0.049445 796.139 286.005 0.00008770816 0.00023368999 0.0000975319 0.0000944276 205477.571 203140.531 204672.791 7.36652 1.26833 3.05427 0.0002583074 4.59843 357.005 0.049584 795.659 285.878 0.00008724814 0.00023433748 0.0000971673 0.0000948396 205043.128 202728.589 204235.752 7.43467 0.94900 3.04892 0.0002583549 4.60723 358.006 0.049723 795.196 285.758 0.00008678733 0.00023497900 0.0000967955 0.0000952452 204624.200 202332.471 203814.463 7.50280 0.63029 3.04377 0.0002583888 4.61325 359.006 0.049862 794.748 285.643 0.00008632582 0.00023561448 0.0000964167 0.0000956443 204220.758 201952.136 203408.894 7.57091 0.31224 3.03881 0.0002584090 4.61651 360.007 0.050001 794.318 285.534 0.00008586367 0.00023624387 0.0000960310 0.0000960367 203832.771 201587.545 203019.011 7.63897 -0.00510 3.03404 0.0002584157 4.61701 Engine speed (Hz) = 20.0000000000 Output power (W) = 92.3401243597 Heat into heater (W) = 152.7793364454 Heat to regenerator (W) = -0.1020593123 Heat removal from cooler (W) = 60.6807405577 Approximate Pumping loss (W) = -6.6132424031 Thermal efficiency (%) = 60.4401920496 The average engine pressure (Pa) = 271934.9021016407 The exp space work per cycle (J) = 7.6395290451 The comp space work per cycle (J) = -3.0225228271 The net work per cycle (J) = 4.6170062180 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7134935516 The expansion work for Vmin-to-Vmax (J) = 26.3304997696 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.005 0.000001 794.631 285.613 0.00008590979 0.00023614967 0.0000960319 0.0000960358 204020.948 201564.315 203131.110 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000133 794.217 285.511 0.00008544801 0.00023677200 0.0000956405 0.0000964204 203648.521 201217.588 202756.828 0.06773 -0.31602 -0.00458 0.0002584089 -0.00231 2.001 0.000265 793.820 285.414 0.00008498573 0.00023738817 0.0000952426 0.0000967980 203291.377 200886.440 202398.078 0.13538 -0.63126 -0.00897 0.0002583886 -0.00734 3.006 0.000398 793.437 285.323 0.00008451951 0.00023800272 0.0000948350 0.0000971714 202946.954 200568.501 202052.288 0.20346 -0.94806 -0.01320 0.0002583544 -0.01515 4.004 0.000530 793.072 285.239 0.00008405645 0.00023860633 0.0000944241 0.0000975349 202620.407 200268.516 201724.631 0.27091 -1.26160 -0.01721 0.0002583070 -0.02561 5.002 0.000662 792.725 285.160 0.00008359310 0.00023920361 0.0000940069 0.0000978912 202309.062 199983.998 201412.420 0.33824 -1.57424 -0.02102 0.0002582461 -0.03875 6.000 0.000794 792.394 285.088 0.00008312954 0.00023979448 0.0000935835 0.0000982402 202012.893 199714.915 201115.629 0.40542 -1.88593 -0.02466 0.0002581717 -0.05458 7.006 0.000927 792.077 285.020 0.00008266231 0.00024038330 0.0000931509 0.0000985843 201729.807 199459.370 200832.158 0.47296 -2.19897 -0.02812 0.0002580832 -0.07322 8.004 0.001059 791.780 284.959 0.00008219853 0.00024096115 0.0000927156 0.0000989182 201464.035 199221.172 200566.245 0.53982 -2.50863 -0.03138 0.0002579818 -0.09438 9.001 0.001191 791.499 284.904 0.00008173474 0.00024153242 0.0000922746 0.0000992445 201213.371 198998.312 200315.678 0.60648 -2.81721 -0.03444 0.0002578671 -0.11818 10.007 0.001324 791.233 284.854 0.00008126750 0.00024210131 0.0000918245 0.0000995655 200976.066 198789.245 200078.710 0.67345 -3.12700 -0.03734 0.0002577380 -0.14483 11.005 0.001456 790.985 284.811 0.00008080390 0.00024265921 0.0000913723 0.0000998762 200755.669 198597.087 199858.883 0.73968 -3.43330 -0.04003 0.0002575965 -0.17390 12.003 0.001588 790.754 284.773 0.00008034050 0.00024321035 0.0000909148 0.0001001790 200550.319 198420.181 199654.336 0.80568 -3.73840 -0.04253 0.0002574418 -0.20558 13.001 0.001720 790.540 284.741 0.00007987736 0.00024375468 0.0000904521 0.0001004737 200359.999 198258.499 199465.051 0.87142 -4.04226 -0.04485 0.0002572739 -0.23985 14.006 0.001853 790.342 284.714 0.00007941105 0.00024429619 0.0000899808 0.0001007625 200183.422 198110.967 199289.750 0.93739 -4.34713 -0.04699 0.0002570913 -0.27699 15.004 0.001985 790.161 284.694 0.00007894865 0.00024482667 0.0000895080 0.0001010409 200023.228 197979.779 199131.052 1.00257 -4.64839 -0.04893 0.0002568970 -0.31643 16.002 0.002117 789.998 284.679 0.00007848670 0.00024535016 0.0000890305 0.0001013111 199878.018 197863.745 198987.566 1.06745 -4.94828 -0.05069 0.0002566896 -0.35842 17.007 0.002250 789.850 284.669 0.00007802179 0.00024587050 0.0000885447 0.0001015748 199746.851 197762.140 198858.364 1.13249 -5.24903 -0.05227 0.0002564675 -0.40331 18.005 0.002382 789.720 284.666 0.00007756098 0.00024637978 0.0000880580 0.0001018281 199631.687 197676.471 198745.377 1.19670 -5.54607 -0.05365 0.0002562341 -0.45039 19.003 0.002514 789.607 284.668 0.00007710082 0.00024688189 0.0000875670 0.0001020728 199531.475 197605.899 198647.565 1.26056 -5.84163 -0.05485 0.0002559879 -0.50000 20.001 0.002646 789.511 284.676 0.00007664139 0.00024737677 0.0000870718 0.0001023090 199446.205 197550.408 198564.918 1.32405 -6.13567 -0.05586 0.0002557288 -0.55210 21.007 0.002779 789.431 284.690 0.00007617928 0.00024786803 0.0000865688 0.0001025382 199375.395 197509.734 198496.975 1.38763 -6.43036 -0.05669 0.0002554550 -0.60712 22.005 0.002911 789.369 284.709 0.00007572151 0.00024834821 0.0000860656 0.0001027569 199320.105 197484.474 198444.750 1.45033 -6.72122 -0.05733 0.0002551706 -0.66420 23.003 0.003043 789.323 284.734 0.00007526465 0.00024882097 0.0000855588 0.0001029668 199279.740 197474.253 198407.671 1.51260 -7.01044 -0.05778 0.0002548736 -0.72375 24.000 0.003175 789.294 284.764 0.00007480878 0.00024928625 0.0000850483 0.0001031679 199254.300 197479.060 198385.733 1.57444 -7.29798 -0.05805 0.0002545642 -0.78574 25.006 0.003308 789.282 284.801 0.00007435052 0.00024974742 0.0000845305 0.0001033614 199243.759 197499.094 198378.941 1.63629 -7.58595 -0.05813 0.0002542400 -0.85067 26.004 0.003440 789.287 284.842 0.00007389683 0.00025019748 0.0000840133 0.0001035445 199248.277 197534.045 198387.397 1.69720 -7.86998 -0.05803 0.0002539059 -0.91753 27.002 0.003572 789.309 284.889 0.00007344432 0.00025063987 0.0000834931 0.0001037186 199267.721 197583.999 198410.993 1.75763 -8.15221 -0.05774 0.0002535597 -0.98680 28.007 0.003705 789.348 284.943 0.00007298965 0.00025107777 0.0000829658 0.0001038848 199302.410 197649.500 198450.082 1.81800 -8.43471 -0.05726 0.0002531986 -1.05900 29.005 0.003837 789.404 285.001 0.00007253971 0.00025150455 0.0000824398 0.0001040405 199351.829 197729.560 198504.082 1.87740 -8.71318 -0.05660 0.0002528283 -1.13305 30.003 0.003969 789.477 285.065 0.00007209115 0.00025192344 0.0000819111 0.0001041871 199416.189 197824.611 198573.234 1.93626 -8.98973 -0.05576 0.0002524462 -1.20945 31.001 0.004101 789.566 285.134 0.00007164404 0.00025233439 0.0000813799 0.0001043245 199495.497 197934.652 198657.546 1.99457 -9.26430 -0.05473 0.0002520524 -1.28820 32.007 0.004234 789.673 285.210 0.00007119507 0.00025274034 0.0000808424 0.0001044535 199590.536 198060.687 198757.838 2.05275 -9.53892 -0.05350 0.0002516439 -1.36990 33.004 0.004366 789.797 285.290 0.00007075106 0.00025313511 0.0000803068 0.0001045722 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297.649 0.00010586119 0.00020039926 0.0001052170 0.0000721149 240447.743 237387.000 239962.248 4.57144 15.10625 3.49766 0.0002436799 1.34817 313.004 0.041403 831.581 297.252 0.00010552890 0.00020122282 0.0001052409 0.0000726630 239316.811 236249.118 238816.978 4.62614 14.81726 3.48365 0.0002442519 1.48372 314.002 0.041535 830.474 296.861 0.00010519131 0.00020204498 0.0001052552 0.0000732114 238201.334 235127.843 237687.345 4.68137 14.52604 3.46983 0.0002448147 1.61643 315.008 0.041668 829.371 296.473 0.00010484592 0.00020287178 0.0001052600 0.0000737642 237093.114 234014.928 236565.058 4.73755 14.23046 3.45610 0.0002453722 1.74725 316.005 0.041800 828.288 296.095 0.00010449808 0.00020369061 0.0001052551 0.0000743128 236008.890 232927.158 235467.074 4.79383 13.93504 3.44267 0.0002459160 1.87421 317.003 0.041932 827.218 295.723 0.00010414534 0.00020450753 0.0001052407 0.0000748612 234940.334 231856.145 234384.969 4.85062 13.63766 3.42943 0.0002464500 1.99830 318.001 0.042064 826.159 295.356 0.00010378781 0.00020532239 0.0001052168 0.0000754093 233887.505 230801.925 233318.810 4.90792 13.33840 3.41639 0.0002469742 2.11950 319.007 0.042197 825.106 294.994 0.00010342288 0.00020614118 0.0001051830 0.0000759611 232842.659 229756.734 232260.762 4.96614 13.03507 3.40345 0.0002474921 2.23870 320.005 0.042329 824.073 294.640 0.00010305616 0.00020695144 0.0001051399 0.0000765080 231821.555 228736.314 231226.790 5.02442 12.73231 3.39080 0.0002479960 2.35409 321.003 0.042461 823.053 294.293 0.00010268504 0.00020775918 0.0001050873 0.0000770541 230816.319 227732.761 230208.924 5.08317 12.42792 3.37835 0.0002484894 2.46658 322.001 0.042593 822.046 293.951 0.00010230964 0.00020856427 0.0001050252 0.0000775992 229826.988 226746.089 229207.207 5.14240 12.12198 3.36609 0.0002489724 2.57616 323.006 0.042726 821.044 293.614 0.00010192721 0.00020937263 0.0001049530 0.0000781473 228846.279 225769.023 228214.272 5.20253 11.81225 3.35395 0.0002494483 2.68363 324.004 0.042858 820.064 293.285 0.00010154361 0.00021017197 0.0001048718 0.0000786899 227888.966 224816.262 227245.080 5.26267 11.50345 3.34209 0.0002499097 2.78737 325.002 0.042990 819.097 292.963 0.00010115610 0.00021096826 0.0001047813 0.0000792310 226947.637 223880.393 226292.131 5.32324 11.19334 3.33043 0.0002503603 2.88819 326.007 0.043123 818.136 292.644 0.00010076182 0.00021176735 0.0001046805 0.0000797745 226015.361 222954.515 225348.412 5.38470 10.87963 3.31889 0.0002508030 2.98682 327.005 0.043255 817.197 292.334 0.00010036681 0.00021255712 0.0001045710 0.0000803121 225106.172 222052.542 224428.132 5.44613 10.56712 3.30763 0.0002512312 3.08178 328.003 0.043387 816.272 292.030 0.00009996824 0.00021334347 0.0001044523 0.0000808477 224213.008 221167.437 223524.147 5.50795 10.25351 3.29657 0.0002516480 3.17381 329.001 0.043519 815.360 291.733 0.00009956622 0.00021412627 0.0001043242 0.0000813812 223335.876 220299.185 222636.465 5.57018 9.93889 3.28571 0.0002520534 3.26292 330.007 0.043652 814.456 291.439 0.00009915777 0.00021491130 0.0001041857 0.0000819163 222468.317 219441.380 221758.553 5.63326 9.62092 3.27497 0.0002524501 3.34976 331.005 0.043784 813.573 291.154 0.00009874915 0.00021568665 0.0001040390 0.0000824450 221623.376 218606.900 220903.612 5.69624 9.30446 3.26452 0.0002528321 3.43300 332.002 0.043916 812.705 290.875 0.00009833741 0.00021645813 0.0001038832 0.0000829710 220794.467 217789.208 220064.980 5.75958 8.98719 3.25426 0.0002532022 3.51333 333.000 0.044048 811.851 290.603 0.00009792266 0.00021722563 0.0001037182 0.0000834943 219981.582 216988.277 219242.652 5.82327 8.66917 3.24420 0.0002535605 3.59074 334.006 0.044181 811.005 290.335 0.00009750181 0.00021799482 0.0001035428 0.0000840185 219178.737 216198.200 218430.574 5.88778 8.34805 3.23426 0.0002539093 3.66578 335.004 0.044313 810.181 290.075 0.00009708131 0.00021875404 0.0001033596 0.0000845356 218397.995 215430.828 217640.948 5.95213 8.02873 3.22460 0.0002542432 3.73733 336.002 0.044445 809.371 289.821 0.00009665811 0.00021950898 0.0001031674 0.0000850495 217633.243 214680.122 216867.594 6.01679 7.70886 3.21514 0.0002545649 3.80597 337.007 0.044578 808.570 289.571 0.00009622906 0.00022026522 0.0001029648 0.0000855638 216878.855 213940.550 216104.822 6.08224 7.38606 3.20581 0.0002548766 3.87219 338.005 0.044710 807.791 289.330 0.00009580072 0.00022101131 0.0001027548 0.0000860706 216146.158 213223.197 215364.086 6.14748 7.06526 3.19675 0.0002551735 3.93500 339.003 0.044842 807.026 289.095 0.00009536997 0.00022175285 0.0001025360 0.0000865737 215429.398 212522.401 214639.567 6.21299 6.74408 3.18789 0.0002554578 3.99491 340.001 0.044974 806.277 288.865 0.00009493690 0.00022248976 0.0001023085 0.0000870730 214728.554 211838.122 213931.245 6.27876 6.42259 3.17922 0.0002557295 4.05192 341.006 0.045107 805.538 288.641 0.00009449830 0.00022322748 0.0001020704 0.0000875719 214038.477 211165.324 213233.916 6.34527 6.09840 3.17069 0.0002559904 4.10644 342.004 0.045239 804.819 288.424 0.00009406087 0.00022395483 0.0001018256 0.0000880629 213369.517 210514.083 212558.039 6.41150 5.77646 3.16242 0.0002562365 4.15765 343.002 0.045371 804.117 288.214 0.00009362141 0.00022467730 0.0001015722 0.0000885495 212716.403 209879.235 211898.285 6.47795 5.45437 3.15435 0.0002564697 4.20598 344.000 0.045503 803.429 288.009 0.00009318000 0.00022539482 0.0001013105 0.0000890316 212079.105 209260.737 211254.626 6.54461 5.13219 3.14648 0.0002566901 4.25144 345.006 0.045636 802.752 287.809 0.00009273336 0.00022611267 0.0001010382 0.0000895127 211452.951 208654.046 210622.340 6.61195 4.80754 3.13874 0.0002568990 4.29435 346.004 0.045768 802.096 287.617 0.00009228832 0.00022682000 0.0001007597 0.0000899854 210847.326 208068.241 210010.907 6.67896 4.48534 3.13126 0.0002570932 4.33406 347.001 0.045900 801.456 287.431 0.00009184159 0.00022752214 0.0001004731 0.0000904532 210257.434 207498.654 209415.481 6.74612 4.16322 3.12398 0.0002572743 4.37091 348.007 0.046033 800.827 287.250 0.00009138987 0.00022822428 0.0001001760 0.0000909194 209678.955 206941.109 208831.702 6.81394 3.83878 3.11684 0.0002574434 4.40517 349.005 0.046165 800.218 287.076 0.00009094002 0.00022891579 0.0000998732 0.0000913768 209120.559 206403.946 208268.317 6.88137 3.51696 3.10995 0.0002575980 4.43632 350.003 0.046297 799.626 286.908 0.00009048876 0.00022960190 0.0000995624 0.0000918290 208577.805 205882.866 207720.844 6.94892 3.19536 3.10325 0.0002577394 4.46464 351.001 0.046429 799.049 286.746 0.00009003614 0.00023028255 0.0000992438 0.0000922756 208050.664 205377.826 207189.252 7.01656 2.87403 3.09675 0.0002578674 4.49013 352.006 0.046562 798.485 286.589 0.00008957883 0.00023096275 0.0000989149 0.0000927199 207535.287 204885.137 206669.660 7.08479 2.55060 3.09039 0.0002579829 4.51297 353.004 0.046694 797.940 286.439 0.00008912376 0.00023163221 0.0000985809 0.0000931552 207039.394 204412.162 206169.850 7.15258 2.22997 3.08428 0.0002580841 4.53282 354.002 0.046826 797.412 286.296 0.00008866759 0.00023229600 0.0000982394 0.0000935845 206559.019 203955.094 205685.821 7.22042 1.90975 3.07835 0.0002581719 4.54988 355.008 0.046959 796.896 286.157 0.00008820693 0.00023295903 0.0000978877 0.0000940110 206090.669 203510.607 205214.054 7.28880 1.58758 3.07258 0.0002582467 4.56424 356.005 0.047091 796.401 286.025 0.00008774879 0.00023361126 0.0000975314 0.0000944281 205641.356 203085.341 204761.611 7.35669 1.26835 3.06705 0.0002583075 4.57570 357.003 0.047223 795.922 285.900 0.00008728977 0.00023425762 0.0000971678 0.0000948390 205207.470 202675.853 204324.852 7.42459 0.94968 3.06171 0.0002583548 4.58440 358.001 0.047355 795.459 285.780 0.00008682996 0.00023489807 0.0000967971 0.0000952435 204788.979 202282.101 203903.745 7.49247 0.63160 3.05655 0.0002583886 4.59033 359.007 0.047488 795.009 285.665 0.00008636594 0.00023553732 0.0000964166 0.0000956444 204382.859 201901.239 203495.247 7.56083 0.31177 3.05156 0.0002584090 4.59353 360.005 0.047620 794.578 285.557 0.00008590477 0.00023616569 0.0000960320 0.0000960357 203995.188 201538.954 203105.469 7.62864 -0.00495 3.04679 0.0002584157 4.59395 Engine speed (Hz) = 21.0000000000 Output power (W) = 96.4727412152 Heat into heater (W) = 160.2015164788 Heat to regenerator (W) = -0.1040398250 Heat removal from cooler (W) = 63.9825736915 Approximate Pumping loss (W) = -7.5794781193 Thermal efficiency (%) = 60.2196179759 The average engine pressure (Pa) = 271963.9600229930 The exp space work per cycle (J) = 7.6292618727 The comp space work per cycle (J) = -3.0353218148 The net work per cycle (J) = 4.5939400579 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7269493025 The expansion work for Vmin-to-Vmax (J) = 26.3208893603 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 794.903 285.636 0.00008595299 0.00023606772 0.0000960333 0.0000960344 204190.406 201513.671 203221.440 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.007 0.000127 794.485 285.534 0.00008548716 0.00023669582 0.0000956388 0.0000964220 203814.189 201165.530 202843.143 0.06821 -0.31884 -0.00463 0.0002584089 -0.00241 2.005 0.000253 794.087 285.438 0.00008502449 0.00023731281 0.0000952408 0.0000967996 203456.247 200835.772 202483.410 0.13581 -0.63440 -0.00903 0.0002583885 -0.00754 3.003 0.000379 793.706 285.348 0.00008456137 0.00023792359 0.0000948363 0.0000971702 203113.529 200521.555 202139.173 0.20332 -0.94914 -0.01324 0.0002583546 -0.01538 4.001 0.000505 793.341 285.264 0.00008409789 0.00023852809 0.0000944254 0.0000975338 202786.009 200222.843 201810.402 0.27073 -1.26303 -0.01726 0.0002583072 -0.02591 5.007 0.000632 792.990 285.185 0.00008363044 0.00023913100 0.0000940049 0.0000978929 202471.244 199937.413 201494.648 0.33855 -1.57849 -0.02112 0.0002582458 -0.03925 6.005 0.000758 792.658 285.113 0.00008316644 0.00023972274 0.0000935815 0.0000982418 202174.165 199669.726 201196.854 0.40569 -1.89052 -0.02477 0.0002581713 -0.05517 7.003 0.000884 792.342 285.047 0.00008270228 0.00024030803 0.0000931521 0.0000985833 201892.212 199417.439 200914.449 0.47268 -2.20157 -0.02822 0.0002580834 -0.07375 8.001 0.001010 792.044 284.986 0.00008223804 0.00024088682 0.0000927169 0.0000989173 201625.360 199180.518 200647.407 0.53949 -2.51159 -0.03149 0.0002579821 -0.09499 9.006 0.001137 791.760 284.931 0.00008177010 0.00024146356 0.0000922723 0.0000992462 201371.651 198957.237 200393.771 0.60665 -2.82299 -0.03459 0.0002578665 -0.11907 10.004 0.001263 791.494 284.882 0.00008130590 0.00024202911 0.0000918256 0.0000995647 201135.059 198751.080 200157.510 0.67307 -3.13083 -0.03748 0.0002577384 -0.14560 11.002 0.001389 791.246 284.839 0.00008084182 0.00024258798 0.0000913735 0.0000998754 200913.508 198560.200 199936.547 0.73927 -3.43751 -0.04018 0.0002575969 -0.17475 12.000 0.001515 791.014 284.802 0.00008037792 0.00024314010 0.0000909160 0.0001001782 200706.978 198384.569 199730.861 0.80524 -3.74300 -0.04270 0.0002574422 -0.20650 13.006 0.001642 790.797 284.770 0.00007991061 0.00024368972 0.0000904496 0.0001004753 200513.994 198222.948 199538.983 0.87147 -4.04966 -0.04505 0.0002572729 -0.24113 14.004 0.001768 790.598 284.744 0.00007944730 0.00024422813 0.0000899818 0.0001007619 200337.577 198077.858 199363.918 0.93691 -4.35264 -0.04719 0.0002570917 -0.27807 15.002 0.001894 790.417 284.724 0.00007898438 0.00024475962 0.0000895091 0.0001010403 200176.134 197947.943 199204.078 1.00207 -4.65429 -0.04914 0.0002568974 -0.31759 16.008 0.002021 790.251 284.710 0.00007851824 0.00024528826 0.0000890277 0.0001013126 200028.550 197832.329 199058.361 1.06743 -4.95697 -0.05093 0.0002566884 -0.36000 17.006 0.002147 790.103 284.701 0.00007805630 0.00024580566 0.0000885456 0.0001015743 199897.136 197732.816 198929.048 1.13196 -5.25586 -0.05251 0.0002564679 -0.40464 18.004 0.002273 789.971 284.698 0.00007759496 0.00024631597 0.0000880589 0.0001018276 199780.660 197648.414 198814.920 1.19615 -5.55332 -0.05391 0.0002562345 -0.45180 19.002 0.002399 789.857 284.701 0.00007713426 0.00024681911 0.0000875679 0.0001020724 199679.114 197579.105 198715.966 1.26000 -5.84930 -0.05512 0.0002559883 -0.50147 20.007 0.002526 789.758 284.709 0.00007667064 0.00024731893 0.0000870688 0.0001023104 199591.860 197524.503 198631.572 1.32397 -6.14609 -0.05615 0.0002557272 -0.55407 21.005 0.002652 789.678 284.723 0.00007621146 0.00024780750 0.0000865695 0.0001025379 199520.267 197485.451 198563.060 1.38705 -6.43898 -0.05699 0.0002554554 -0.60876 22.003 0.002778 789.614 284.743 0.00007575313 0.00024828872 0.0000860664 0.0001027566 199463.584 197461.445 198509.699 1.44973 -6.73027 -0.05764 0.0002551710 -0.66592 23.001 0.002904 789.566 284.768 0.00007529572 0.00024876252 0.0000855595 0.0001029665 199421.808 197452.474 198471.485 1.51199 -7.01992 -0.05811 0.0002548741 -0.72554 24.007 0.003031 789.536 284.800 0.00007483568 0.00024923252 0.0000850450 0.0001031692 199394.781 197458.633 198448.290 1.57431 -7.31016 -0.05839 0.0002545622 -0.78811 25.005 0.003157 789.522 284.836 0.00007438031 0.00024969124 0.0000845311 0.0001033612 199382.931 197479.817 198440.480 1.63568 -7.59639 -0.05849 0.0002542403 -0.85263 26.003 0.003283 789.526 284.878 0.00007392605 0.00025014235 0.0000840139 0.0001035443 199385.985 197516.005 198447.811 1.69658 -7.88086 -0.05840 0.0002539063 -0.91956 27.001 0.003409 789.546 284.926 0.00007347298 0.00025058578 0.0000834936 0.0001037184 199403.947 197567.191 198470.284 1.75700 -8.16352 -0.05812 0.0002535601 -0.98890 28.007 0.003536 789.584 284.980 0.00007301756 0.00025102490 0.0000829662 0.0001038847 199437.141 197633.953 198508.263 1.81739 -8.44656 -0.05766 0.0002531989 -1.06120 29.004 0.003662 789.638 285.039 0.00007256706 0.00025145272 0.0000824402 0.0001040404 199485.050 197715.237 198561.153 1.87678 -8.72547 -0.05701 0.0002528286 -1.13532 30.002 0.003788 789.708 285.103 0.00007211793 0.00025187266 0.0000819115 0.0001041870 199547.884 197811.504 198629.200 1.93564 -9.00245 -0.05618 0.0002524465 -1.21179 31.000 0.003914 789.796 285.173 0.00007167025 0.00025228465 0.0000813803 0.0001043244 199625.651 197922.755 198712.411 1.99394 -9.27746 -0.05516 0.0002520527 -1.29061 32.006 0.004041 789.902 285.249 0.00007122054 0.00025269179 0.0000808426 0.0001044534 199719.158 198050.048 198811.638 2.05213 -9.55261 -0.05395 0.0002516441 -1.37240 33.004 0.004167 790.023 285.330 0.00007077596 0.00025308761 0.0000803070 0.0001045721 199826.944 198191.382 198925.329 2.10928 -9.82353 -0.05255 0.0002512271 -1.45587 34.002 0.004293 790.161 285.417 0.00007033302 0.00025347525 0.0000797694 0.0001046815 199949.700 198347.701 199054.218 2.16583 -10.09235 -0.05098 0.0002507989 -1.54164 35.008 0.004420 790.318 285.510 0.00006988830 0.00025385764 0.0000792256 0.0001047822 200088.594 198520.427 199199.523 2.22220 -10.36113 -0.04920 0.0002503558 -1.63039 36.006 0.004546 790.490 285.607 0.00006944888 0.00025422867 0.0000786845 0.0001048727 200241.457 198706.844 199358.973 2.27750 -10.62560 -0.04725 0.0002499052 -1.72071 37.004 0.004672 790.678 285.710 0.00006901130 0.00025459131 0.0000781419 0.0001049537 200409.340 198908.260 199533.669 2.33214 -10.88784 -0.04511 0.0002494437 -1.81328 38.002 0.004798 790.884 285.818 0.00006857564 0.00025494549 0.0000775980 0.0001050253 200592.264 199124.680 199723.629 2.38612 -11.14780 -0.04279 0.0002489713 -1.90807 39.007 0.004925 791.108 285.933 0.00006813853 0.00025529383 0.0000770485 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293.297 0.00010158946 0.00021007406 0.0001048721 0.0000786881 228065.678 224725.786 227366.440 5.25524 11.50729 3.35569 0.0002499082 2.76586 325.007 0.041036 819.358 292.972 0.00010119912 0.00021087662 0.0001047808 0.0000792335 227117.492 223783.333 226405.458 5.31618 11.19484 3.34394 0.0002503623 2.86741 326.004 0.041162 818.406 292.656 0.00010080803 0.00021166969 0.0001046808 0.0000797729 226192.791 222865.288 225468.346 5.37706 10.88360 3.33247 0.0002508017 2.96523 327.002 0.041288 817.467 292.346 0.00010041324 0.00021245949 0.0001045714 0.0000803105 225284.058 221964.152 224547.490 5.43836 10.57118 3.32121 0.0002512299 3.06013 328.000 0.041414 816.543 292.043 0.00010001487 0.00021324590 0.0001044526 0.0000808462 224391.303 221079.914 223642.904 5.50008 10.25766 3.31014 0.0002516468 3.15210 329.006 0.041541 815.625 291.743 0.00009960982 0.00021403499 0.0001043235 0.0000813839 223507.640 220205.739 222747.613 5.56268 9.94060 3.29919 0.0002520554 3.24185 330.004 0.041667 814.728 291.452 0.00009920459 0.00021481422 0.0001041861 0.0000819150 222646.987 219355.374 221875.721 5.62517 9.62507 3.28852 0.0002524491 3.32795 331.002 0.041793 813.846 291.167 0.00009879610 0.00021558972 0.0001040394 0.0000824437 221802.323 218521.846 221020.117 5.68804 9.30865 3.27806 0.0002528311 3.41114 332.008 0.041920 812.972 290.886 0.00009838120 0.00021636749 0.0001038823 0.0000829739 220967.131 217698.715 220174.203 5.75178 8.98888 3.26771 0.0002532042 3.49202 333.006 0.042046 812.118 290.614 0.00009796651 0.00021713517 0.0001037173 0.0000834971 220154.560 216898.915 219351.296 5.81536 8.67087 3.25764 0.0002535624 3.56934 334.004 0.042172 811.280 290.348 0.00009754889 0.00021789880 0.0001035432 0.0000840173 219357.960 216115.868 218544.664 5.87928 8.35216 3.24778 0.0002539085 3.64374 335.002 0.042298 810.456 290.088 0.00009712845 0.00021865828 0.0001033600 0.0000845345 218577.320 215349.542 217754.297 5.94352 8.03282 3.23811 0.0002542425 3.71523 336.007 0.042425 809.640 289.833 0.00009670190 0.00021941950 0.0001031663 0.0000850524 217806.623 214594.019 216974.103 6.00859 7.71037 3.22856 0.0002545668 3.78433 337.005 0.042551 808.846 289.585 0.00009627608 0.00022017036 0.0001029652 0.0000855629 217057.990 213861.161 216216.354 6.07344 7.38995 3.21929 0.0002548761 3.84997 338.003 0.042677 808.067 289.344 0.00009584773 0.00022091679 0.0001027552 0.0000860697 216325.271 213144.916 215474.826 6.13858 7.06908 3.21022 0.0002551729 3.91271 339.001 0.042803 807.303 289.109 0.00009541695 0.00022165871 0.0001025364 0.0000865728 215608.448 212445.244 214749.498 6.20399 6.74783 3.20135 0.0002554573 3.97254 340.007 0.042930 806.548 288.879 0.00009498039 0.00022240185 0.0001023070 0.0000870760 214902.001 211756.749 214034.787 6.27018 6.42370 3.19261 0.0002557311 4.02992 341.005 0.043056 805.814 288.656 0.00009454502 0.00022313443 0.0001020708 0.0000875712 214217.032 211090.232 213341.924 6.33610 6.10185 3.18413 0.0002559900 4.08394 342.003 0.043182 805.096 288.440 0.00009410751 0.00022386223 0.0001018260 0.0000880621 213547.892 210440.164 212665.195 6.40224 5.77979 3.17585 0.0002562361 4.13508 343.001 0.043308 804.393 288.230 0.00009366794 0.00022458518 0.0001015726 0.0000885488 212894.556 209806.502 212004.573 6.46860 5.45758 3.16777 0.0002564694 4.18334 344.007 0.043435 803.700 288.024 0.00009322289 0.00022530887 0.0001013087 0.0000890347 212252.001 209184.369 211354.980 6.53569 5.13270 3.15982 0.0002566915 4.22907 345.005 0.043561 803.029 287.826 0.00009277947 0.00022602184 0.0001010385 0.0000895122 211630.320 208583.516 210726.618 6.60244 4.81034 3.15214 0.0002568987 4.27156 346.002 0.043687 802.373 287.634 0.00009233427 0.00022672971 0.0001007600 0.0000899849 211024.363 207998.936 210114.279 6.66936 4.48798 3.14465 0.0002570930 4.31120 347.000 0.043813 801.732 287.448 0.00009188737 0.00022743242 0.0001004734 0.0000904527 210434.100 207430.584 209517.935 6.73644 4.16569 3.13735 0.0002572741 4.34797 348.006 0.043940 801.103 287.267 0.00009143529 0.00022813540 0.0001001762 0.0000909190 209855.006 206874.096 208933.011 6.80420 3.84094 3.13020 0.0002574433 4.38216 349.004 0.044066 800.494 287.094 0.00009098524 0.00022882752 0.0000998734 0.0000913765 209296.170 206338.190 208368.688 6.87156 3.51892 3.12329 0.0002575979 4.41323 350.002 0.044192 799.901 286.927 0.00009053374 0.00022951427 0.0000995626 0.0000918286 208752.940 205818.376 207820.265 6.93902 3.19712 3.11658 0.0002577393 4.44147 351.008 0.044319 799.320 286.764 0.00009007729 0.00023020095 0.0000992414 0.0000922788 208221.160 205310.674 207283.548 7.00712 2.87302 3.11002 0.0002578683 4.46707 352.006 0.044445 798.759 286.609 0.00008962315 0.00023087668 0.0000989151 0.0000927198 207709.175 204823.033 206766.956 7.07477 2.55179 3.10370 0.0002579828 4.48964 353.004 0.044571 798.215 286.459 0.00008916781 0.00023154684 0.0000985810 0.0000931550 207212.704 204351.348 206266.168 7.14249 2.23092 3.09757 0.0002580841 4.50941 354.002 0.044697 797.686 286.316 0.00008871136 0.00023221135 0.0000982395 0.0000935843 206731.718 203895.575 205781.152 7.21026 1.91046 3.09164 0.0002581718 4.52638 355.008 0.044824 797.170 286.178 0.00008825023 0.00023287534 0.0000978877 0.0000940110 206262.553 203452.241 205308.214 7.27860 1.58791 3.08585 0.0002582467 4.54067 356.005 0.044950 796.674 286.046 0.00008779177 0.00023352831 0.0000975314 0.0000944281 205812.566 203028.284 204854.769 7.34643 1.26841 3.08031 0.0002583075 4.55205 357.003 0.045076 796.194 285.921 0.00008733242 0.00023417544 0.0000971678 0.0000948390 205377.973 202620.108 204417.000 7.41426 0.94946 3.07495 0.0002583548 4.56066 358.001 0.045202 795.730 285.802 0.00008687227 0.00023481667 0.0000967971 0.0000952435 204958.743 202227.671 203994.875 7.48208 0.63110 3.06979 0.0002583886 4.56651 359.007 0.045329 795.279 285.688 0.00008640773 0.00023545695 0.0000964165 0.0000956446 204551.704 201848.003 203585.198 7.55041 0.31086 3.06477 0.0002584091 4.56962 360.005 0.045455 794.849 285.580 0.00008594618 0.00023608613 0.0000960319 0.0000960359 204163.236 201487.044 203194.391 7.61816 -0.00618 3.05999 0.0002584157 4.56995 Engine speed (Hz) = 22.0000000000 Output power (W) = 100.5387963857 Heat into heater (W) = 167.5996099548 Heat to regenerator (W) = -0.1358565481 Heat removal from cooler (W) = 67.3198707051 Approximate Pumping loss (W) = -8.6318010514 Thermal efficiency (%) = 59.9874882840 The average engine pressure (Pa) = 271996.5916881827 The exp space work per cycle (J) = 7.6182024485 The comp space work per cycle (J) = -3.0482571583 The net work per cycle (J) = 4.5699452903 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7409552512 The expansion work for Vmin-to-Vmax (J) = 26.3109005415 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 795.184 285.659 0.00008599618 0.00023598485 0.0000960333 0.0000960344 204365.205 201459.429 203313.948 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000121 794.767 285.558 0.00008553179 0.00023661135 0.0000956404 0.0000964205 203989.584 201113.999 202936.028 0.06789 -0.31791 -0.00462 0.0002584089 -0.00249 2.005 0.000242 794.367 285.462 0.00008506687 0.00023723167 0.0000952408 0.0000967996 203629.304 200784.274 202573.748 0.13570 -0.63505 -0.00905 0.0002583885 -0.00772 3.007 0.000363 793.983 285.373 0.00008460150 0.00023784575 0.0000948347 0.0000971717 203284.338 200470.215 202227.079 0.20343 -0.95138 -0.01330 0.0002583544 -0.01568 4.001 0.000483 793.619 285.290 0.00008413960 0.00023844852 0.0000944255 0.0000975336 202957.322 200174.187 201898.666 0.27049 -1.26425 -0.01731 0.0002583072 -0.02626 5.003 0.000604 793.268 285.212 0.00008367355 0.00023904998 0.0000940067 0.0000978913 202642.780 199891.220 201583.009 0.33799 -1.57883 -0.02117 0.0002582460 -0.03962 6.004 0.000725 792.934 285.140 0.00008320725 0.00023964502 0.0000935817 0.0000982417 202343.477 199623.809 201282.882 0.40535 -1.89246 -0.02485 0.0002581713 -0.05569 7.006 0.000846 792.616 285.074 0.00008274079 0.00024023357 0.0000931506 0.0000985845 202059.388 199371.920 200998.259 0.47256 -2.20511 -0.02833 0.0002580831 -0.07444 8.008 0.000967 792.315 285.013 0.00008227424 0.00024081558 0.0000927135 0.0000989198 201790.493 199135.519 200729.118 0.53960 -2.51673 -0.03162 0.0002579813 -0.09586 9.002 0.001087 792.034 284.959 0.00008181151 0.00024138625 0.0000922744 0.0000992446 201538.803 198916.338 200477.467 0.60590 -2.82472 -0.03470 0.0002578671 -0.11974 10.004 0.001208 791.766 284.911 0.00008134497 0.00024195504 0.0000918260 0.0000995645 201300.105 198710.693 200239.091 0.67254 -3.13417 -0.03761 0.0002577385 -0.14645 11.006 0.001329 791.515 284.868 0.00008087855 0.00024251711 0.0000913720 0.0000998764 201076.539 198520.444 200016.129 0.73897 -3.44246 -0.04034 0.0002575964 -0.17580 12.007 0.001450 791.281 284.831 0.00008041231 0.00024307239 0.0000909127 0.0001001804 200868.087 198345.564 199808.562 0.80516 -3.74956 -0.04288 0.0002574411 -0.20778 13.001 0.001570 791.066 284.800 0.00007995017 0.00024361632 0.0000904519 0.0001004738 200676.268 198187.281 199617.897 0.87056 -4.05289 -0.04521 0.0002572738 -0.24208 14.003 0.001691 790.865 284.775 0.00007948449 0.00024415790 0.0000899823 0.0001007616 200497.870 198042.931 199440.938 0.93623 -4.35748 -0.04738 0.0002570919 -0.27925 15.005 0.001812 790.682 284.755 0.00007901920 0.00024469252 0.0000895077 0.0001010411 200334.540 197913.874 199279.323 1.00161 -4.66075 -0.04936 0.0002568968 -0.31901 16.007 0.001933 790.515 284.741 0.00007855436 0.00024522011 0.0000890283 0.0001013123 200186.264 197800.085 199133.037 1.06669 -4.96266 -0.05115 0.0002566886 -0.36134 17.000 0.002053 790.366 284.733 0.00007809388 0.00024573633 0.0000885482 0.0001015729 200054.071 197702.296 199003.085 1.13092 -5.26068 -0.05274 0.0002564691 -0.40585 18.002 0.002174 790.233 284.731 0.00007763014 0.00024624974 0.0000880596 0.0001018273 199935.747 197618.857 198887.292 1.19534 -5.55975 -0.05415 0.0002562349 -0.45327 19.004 0.002295 790.116 284.734 0.00007716706 0.00024675593 0.0000875667 0.0001020730 199832.446 197550.626 198786.792 1.25942 -5.85734 -0.05538 0.0002559877 -0.50323 20.006 0.002416 790.017 284.743 0.00007670470 0.00024725484 0.0000870695 0.0001023101 199744.163 197497.588 198701.576 1.32312 -6.15340 -0.05642 0.0002557276 -0.55571 21.008 0.002537 789.934 284.758 0.00007624313 0.00024774641 0.0000865682 0.0001025384 199670.889 197459.725 198631.638 1.38643 -6.44788 -0.05728 0.0002554547 -0.61069 22.001 0.002657 789.869 284.778 0.00007578622 0.00024822661 0.0000860673 0.0001027562 199613.043 197437.149 198577.361 1.44882 -6.73835 -0.05794 0.0002551715 -0.66769 23.003 0.002778 789.820 284.804 0.00007532642 0.00024870337 0.0000855584 0.0001029670 199569.655 197429.471 198537.835 1.51132 -7.02959 -0.05843 0.0002548734 -0.72762 24.005 0.002899 789.788 284.836 0.00007486760 0.00024917259 0.0000850459 0.0001031688 199541.269 197436.930 198513.574 1.57337 -7.31914 -0.05872 0.0002545627 -0.79003 25.007 0.003020 789.772 284.873 0.00007440984 0.00024963421 0.0000845300 0.0001033617 199527.885 197459.516 198504.576 1.63497 -7.60696 -0.05883 0.0002542396 -0.85488 26.001 0.003140 789.774 284.916 0.00007395697 0.00025008444 0.0000840150 0.0001035440 199529.429 197496.846 198510.728 1.69560 -7.89064 -0.05876 0.0002539070 -0.92160 27.003 0.003261 789.793 284.964 0.00007350150 0.00025053073 0.0000834927 0.0001037187 199545.931 197549.536 198532.133 1.75625 -8.17487 -0.05850 0.0002535594 -0.99129 28.004 0.003382 789.828 285.018 0.00007304729 0.00025096920 0.0000829674 0.0001038843 199577.445 197617.329 198568.808 1.81639 -8.45725 -0.05805 0.0002531997 -1.06338 29.006 0.003503 789.881 285.078 0.00007259440 0.00025139981 0.0000824392 0.0001040407 199623.977 197700.223 198620.757 1.87601 -8.73772 -0.05741 0.0002528279 -1.13787 30.008 0.003624 789.950 285.143 0.00007214290 0.00025182247 0.0000819084 0.0001041878 199685.535 197798.212 198687.988 1.93509 -9.01625 -0.05659 0.0002524443 -1.21473 31.002 0.003744 790.036 285.213 0.00007169657 0.00025223372 0.0000813796 0.0001043246 199761.434 197910.300 198769.764 1.99314 -9.29051 -0.05559 0.0002520521 -1.29329 32.004 0.003865 790.139 285.290 0.00007124804 0.00025264035 0.0000808440 0.0001044531 199852.950 198038.352 198867.458 2.05110 -9.56503 -0.05439 0.0002516451 -1.37483 33.006 0.003986 790.259 285.372 0.00007080110 0.00025303881 0.0000803062 0.0001045723 199959.527 198181.499 198980.464 2.10847 -9.83748 -0.05301 0.0002512265 -1.45870 34.007 0.004107 790.396 285.459 0.00007035581 0.00025342905 0.0000797664 0.0001046820 200081.178 198339.741 199108.796 2.16524 -10.10781 -0.05144 0.0002507965 -1.54489 35.001 0.004227 790.548 285.551 0.00006991592 0.00025380785 0.0000792293 0.0001047815 200216.728 198511.587 199251.218 2.22093 -10.37377 -0.04970 0.0002503589 -1.63262 36.003 0.004348 790.719 285.649 0.00006947414 0.00025418147 0.0000786861 0.0001048724 200368.454 198699.905 199410.120 2.27645 -10.63975 -0.04776 0.0002499065 -1.72336 37.005 0.004469 790.907 285.753 0.00006903423 0.00025454662 0.0000781413 0.0001049538 200535.308 198903.332 199584.398 2.33131 -10.90348 -0.04562 0.0002494432 -1.81637 38.007 0.004590 791.111 285.862 0.00006859626 0.00025490323 0.0000775952 0.0001050257 200717.311 199121.872 199774.071 2.38550 -11.16491 -0.04330 0.0002489689 -1.91161 39.000 0.004710 791.331 285.976 0.00006816389 0.00025524838 0.0000770525 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0.00009675136 0.00021931948 0.0001031670 0.0000850506 217993.715 214511.693 217091.972 5.99918 7.71608 3.24256 0.0002545656 3.76122 337.006 0.040701 809.130 289.599 0.00009632387 0.00022007364 0.0001029651 0.0000855631 217242.160 213777.051 216330.425 6.06418 7.39435 3.23324 0.0002548762 3.82705 338.008 0.040822 808.348 289.358 0.00009589380 0.00022082337 0.0001027543 0.0000860719 216506.602 213059.172 215585.209 6.12947 7.07215 3.22413 0.0002551742 3.88995 339.001 0.040942 807.588 289.124 0.00009546486 0.00022156243 0.0001025364 0.0000865728 215792.903 212363.741 214862.261 6.19450 6.75222 3.21528 0.0002554573 3.94944 340.003 0.041063 806.836 288.895 0.00009502998 0.00022230305 0.0001023080 0.0000870740 215089.149 211679.127 214149.511 6.26032 6.42928 3.20656 0.0002557300 4.00651 341.005 0.041184 806.100 288.672 0.00009459282 0.00022303897 0.0001020708 0.0000875712 214401.330 211011.151 213453.030 6.32640 6.10605 3.19804 0.0002559900 4.06067 342.007 0.041305 805.379 288.455 0.00009415348 0.00022377011 0.0001018250 0.0000880641 213729.423 210359.770 212772.794 6.39271 5.78260 3.18972 0.0002562371 4.11193 343.000 0.041425 804.680 288.246 0.00009371570 0.00022449039 0.0001015727 0.0000885486 213078.760 209730.117 212114.198 6.45869 5.46166 3.18167 0.0002564693 4.15989 344.002 0.041546 803.990 288.041 0.00009327229 0.00022521175 0.0001013099 0.0000890327 212438.472 209111.654 211466.239 6.52542 5.13792 3.17374 0.0002566906 4.20536 345.004 0.041667 803.315 287.843 0.00009282698 0.00022592808 0.0001010386 0.0000895120 211814.019 208509.650 210834.445 6.59234 4.81413 3.16601 0.0002568987 4.24795 346.006 0.041788 802.657 287.651 0.00009237984 0.00022663930 0.0001007590 0.0000899866 211205.374 207924.059 210218.787 6.65944 4.49033 3.15848 0.0002570936 4.28765 347.008 0.041909 802.014 287.465 0.00009193098 0.00022734534 0.0001004712 0.0000904562 210612.509 207354.835 209619.236 6.72670 4.16658 3.15114 0.0002572754 4.32447 348.002 0.042029 801.392 287.286 0.00009148421 0.00022804036 0.0001001776 0.0000909169 210040.099 206806.434 209040.517 6.79355 3.84560 3.14407 0.0002574425 4.35815 349.003 0.042150 800.781 287.113 0.00009103216 0.00022873587 0.0000998736 0.0000913762 209478.576 206269.670 208472.955 6.86108 3.52210 3.13712 0.0002575978 4.38926 350.005 0.042271 800.185 286.945 0.00009057865 0.00022942598 0.0000995616 0.0000918301 208932.745 205749.133 207921.407 6.92874 3.19880 3.13038 0.0002577397 4.41752 351.007 0.042392 799.606 286.783 0.00009012375 0.00023011061 0.0000992417 0.0000922785 208402.575 205244.777 207385.841 6.99649 2.87576 3.12382 0.0002578682 4.44293 352.001 0.042512 799.047 286.629 0.00008967132 0.00023078412 0.0000989167 0.0000927176 207892.225 204760.524 206870.455 7.06377 2.55569 3.11752 0.0002579823 4.46533 353.003 0.042633 798.500 286.480 0.00008921390 0.00023145766 0.0000985814 0.0000931545 207393.159 204288.259 206366.626 7.13168 2.23330 3.11136 0.0002580840 4.48510 354.005 0.042754 797.969 286.336 0.00008875534 0.00023212553 0.0000982385 0.0000935856 206909.664 203832.037 205878.684 7.19964 1.91131 3.10539 0.0002581721 4.50205 355.006 0.042875 797.454 286.199 0.00008829571 0.00023278766 0.0000978881 0.0000940106 206441.710 203391.814 205406.595 7.26765 1.58977 3.09961 0.0002582467 4.51618 356.000 0.042995 796.960 286.069 0.00008783892 0.00023343858 0.0000975333 0.0000944259 205992.942 202970.985 204954.035 7.33511 1.27137 3.09408 0.0002583072 4.52744 357.002 0.043116 796.477 285.944 0.00008737742 0.00023408909 0.0000971683 0.0000948384 205555.852 202562.495 204513.429 7.40314 0.95087 3.08869 0.0002583548 4.53600 358.004 0.043237 796.011 285.824 0.00008691509 0.00023473366 0.0000967962 0.0000952445 205134.212 202169.872 204088.581 7.47117 0.63095 3.08349 0.0002583887 4.54178 359.006 0.043358 795.562 285.711 0.00008645200 0.00023537224 0.0000964170 0.0000956440 204727.995 201793.074 203679.461 7.53917 0.31166 3.07848 0.0002584090 4.54479 360.008 0.043479 795.129 285.604 0.00008598825 0.00023600476 0.0000960309 0.0000960368 204337.172 201432.059 203286.039 7.60713 -0.00694 3.07367 0.0002584157 4.54504 Engine speed (Hz) = 23.0000000000 Output power (W) = 104.5357659005 Heat into heater (W) = 174.9640811288 Heat to regenerator (W) = -0.1596054982 Heat removal from cooler (W) = 70.6944177213 Approximate Pumping loss (W) = -9.7732589867 Thermal efficiency (%) = 59.7469864820 The average engine pressure (Pa) = 272029.5389462510 The exp space work per cycle (J) = 7.6068057690 The comp space work per cycle (J) = -3.0617724689 The net work per cycle (J) = 4.5450333000 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7554420831 The expansion work for Vmin-to-Vmax (J) = 26.3004753831 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.003 0.000000 795.475 285.683 0.00008604034 0.00023589973 0.0000960327 0.0000960350 204546.151 201402.340 203409.448 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000116 795.057 285.582 0.00008557538 0.00023652732 0.0000956397 0.0000964212 204169.550 201058.225 203030.303 0.06785 -0.31835 -0.00464 0.0002584089 -0.00258 2.007 0.000232 794.656 285.487 0.00008510988 0.00023714875 0.0000952400 0.0000968004 203808.267 200729.829 202666.801 0.13563 -0.63595 -0.00908 0.0002583884 -0.00791 3.001 0.000347 794.274 285.399 0.00008464793 0.00023775867 0.0000948372 0.0000971694 203465.193 200419.741 202321.846 0.20274 -0.95001 -0.01330 0.0002583546 -0.01589 4.003 0.000463 793.906 285.315 0.00008418157 0.00023836763 0.0000944245 0.0000975345 203134.335 200122.531 201989.411 0.27033 -1.26596 -0.01737 0.0002583070 -0.02665 5.005 0.000579 793.554 285.238 0.00008371489 0.00023897023 0.0000940055 0.0000978923 202818.718 199840.924 201672.537 0.33780 -1.58101 -0.02125 0.0002582459 -0.04012 6.008 0.000695 793.219 285.167 0.00008324797 0.00023956642 0.0000935803 0.0000982428 202518.318 199574.885 201371.197 0.40514 -1.89513 -0.02493 0.0002581711 -0.05629 7.001 0.000810 792.903 285.102 0.00008278489 0.00024015108 0.0000931527 0.0000985828 202235.507 199326.473 201087.765 0.47175 -2.20557 -0.02840 0.0002580836 -0.07497 8.004 0.000926 792.601 285.042 0.00008231768 0.00024073431 0.0000927156 0.0000989182 201965.344 199091.333 200817.287 0.53876 -2.51770 -0.03171 0.0002579818 -0.09648 9.006 0.001042 792.316 284.988 0.00008185043 0.00024131095 0.0000922726 0.0000992459 201710.332 198871.660 200562.272 0.60560 -2.82876 -0.03483 0.0002578666 -0.12065 10.008 0.001158 792.047 284.940 0.00008138322 0.00024188093 0.0000918240 0.0000995658 201470.453 198667.423 200322.699 0.67223 -3.13872 -0.03776 0.0002577379 -0.14748 11.002 0.001273 791.797 284.898 0.00008092014 0.00024243936 0.0000913738 0.0000998752 201247.560 198480.155 200100.413 0.73807 -3.44486 -0.04048 0.0002575970 -0.17668 12.004 0.001389 791.562 284.862 0.00008045320 0.00024299590 0.0000909143 0.0001001793 201037.760 198306.569 199891.529 0.80425 -3.75249 -0.04304 0.0002574416 -0.20875 13.006 0.001505 791.343 284.831 0.00007998650 0.00024354560 0.0000904496 0.0001004753 200843.039 198148.334 199698.028 0.87017 -4.05888 -0.04540 0.0002572729 -0.24343 14.008 0.001621 791.141 284.806 0.00007952012 0.00024408840 0.0000899797 0.0001007631 200663.383 198005.424 199519.894 0.93583 -4.36400 -0.04758 0.0002570909 -0.28072 15.002 0.001736 790.958 284.788 0.00007905813 0.00024461965 0.0000895091 0.0001010403 200500.133 197878.848 199358.448 1.00065 -4.66518 -0.04956 0.0002568974 -0.32024 16.004 0.001852 790.789 284.774 0.00007859256 0.00024514852 0.0000890295 0.0001013116 200350.437 197766.383 199210.870 1.06572 -4.96764 -0.05136 0.0002566891 -0.36267 17.006 0.001968 790.638 284.767 0.00007812751 0.00024567030 0.0000885452 0.0001015745 200215.768 197669.174 199078.616 1.13048 -5.26869 -0.05298 0.0002564677 -0.40766 18.009 0.002084 790.503 284.765 0.00007766304 0.00024618493 0.0000880564 0.0001018289 200096.117 197587.199 198961.674 1.19490 -5.56830 -0.05441 0.0002562333 -0.45520 19.002 0.002199 790.386 284.769 0.00007720321 0.00024668801 0.0000875675 0.0001020726 199992.313 197520.951 198860.847 1.25842 -5.86387 -0.05564 0.0002559881 -0.50483 20.004 0.002315 790.285 284.778 0.00007674010 0.00024718821 0.0000870702 0.0001023098 199902.545 197469.259 198774.371 1.32212 -6.16049 -0.05670 0.0002557280 -0.55741 21.007 0.002431 790.200 284.794 0.00007627778 0.00024768108 0.0000865688 0.0001025382 199827.774 197432.751 198703.183 1.38544 -6.45554 -0.05757 0.0002554550 -0.61250 22.000 0.002546 790.134 284.814 0.00007582027 0.00024816238 0.0000860678 0.0001027560 199768.447 197411.529 198647.693 1.44781 -6.74646 -0.05825 0.0002551718 -0.66957 23.003 0.002662 790.083 284.841 0.00007535970 0.00024864044 0.0000855588 0.0001029668 199723.531 197405.211 198606.934 1.51031 -7.03827 -0.05875 0.0002548736 -0.72961 24.005 0.002778 790.049 284.873 0.00007490012 0.00024911095 0.0000850461 0.0001031687 199693.605 197414.037 198581.451 1.57238 -7.32838 -0.05906 0.0002545628 -0.79212 25.007 0.002894 790.032 284.911 0.00007444159 0.00024957386 0.0000845300 0.0001033617 199678.670 197437.994 198571.243 1.63399 -7.61677 -0.05919 0.0002542396 -0.85707 26.001 0.003009 790.032 284.954 0.00007398811 0.00025002521 0.0000840150 0.0001035440 199678.664 197476.673 198576.203 1.69460 -7.90091 -0.05913 0.0002539070 -0.92388 27.003 0.003125 790.049 285.003 0.00007353187 0.00025047278 0.0000834925 0.0001037188 199693.589 197530.738 198596.420 1.75526 -8.18572 -0.05888 0.0002535593 -0.99367 28.005 0.003241 790.083 285.058 0.00007307689 0.00025091254 0.0000829670 0.0001038844 199723.518 197599.912 198631.919 1.81541 -8.46866 -0.05844 0.0002531994 -1.06587 29.007 0.003357 790.133 285.118 0.00007262322 0.00025134442 0.0000824386 0.0001040409 199768.456 197684.189 198682.707 1.87505 -8.74970 -0.05782 0.0002528275 -1.14046 30.001 0.003472 790.200 285.183 0.00007217483 0.00025176473 0.0000819123 0.0001041868 199827.831 197782.646 198748.157 1.93364 -9.02640 -0.05702 0.0002524471 -1.21676 31.003 0.003588 790.285 285.255 0.00007172400 0.00025218071 0.0000813788 0.0001043247 199902.687 197896.992 198829.415 1.99219 -9.30352 -0.05603 0.0002520516 -1.29607 32.005 0.003704 790.386 285.332 0.00007127469 0.00025258859 0.0000808430 0.0001044533 199992.583 198026.434 198925.990 2.05016 -9.57862 -0.05485 0.0002516444 -1.37772 33.008 0.003820 790.504 285.414 0.00007082697 0.00025298831 0.0000803050 0.0001045725 200097.534 198170.973 199037.894 2.10755 -9.85163 -0.05348 0.0002512256 -1.46170 34.001 0.003935 790.638 285.501 0.00007038475 0.00025337645 0.0000797698 0.0001046814 200216.456 198329.169 199163.978 2.16385 -10.12020 -0.05194 0.0002507992 -1.54724 35.004 0.004051 790.790 285.595 0.00006994040 0.00025375967 0.0000792280 0.0001047818 200351.433 198503.776 199306.451 2.22002 -10.38894 -0.05019 0.0002503578 -1.63582 36.006 0.004167 790.958 285.694 0.00006949786 0.00025413451 0.0000786845 0.0001048727 200501.517 198693.488 199464.300 2.27556 -10.65548 -0.04826 0.0002499052 -1.72667 37.008 0.004283 791.144 285.798 0.00006905718 0.00025450087 0.0000781396 0.0001049541 200666.726 198898.309 199637.544 2.33043 -10.91976 -0.04614 0.0002494416 -1.81978 38.002 0.004398 791.345 285.907 0.00006862222 0.00025485564 0.0000775980 0.0001050253 200845.464 199116.285 199824.512 2.38418 -11.17950 -0.04385 0.0002489713 -1.91431 39.004 0.004514 791.564 286.022 0.00006818547 0.00025520489 0.0000770505 0.0001050877 201040.863 199351.213 200028.478 2.43771 -11.43916 -0.04136 0.0002484862 -2.01187 40.006 0.004630 791.800 286.143 0.00006775080 0.00025554543 0.0000765020 0.0001051404 201251.460 199601.272 200247.906 2.49053 -11.69642 -0.03868 0.0002479905 -2.11165 41.008 0.004746 792.053 286.269 0.00006731829 0.00025587718 0.0000759527 0.0001051836 201477.280 199866.469 200482.823 2.54264 -11.95125 -0.03580 0.0002474843 -2.21362 42.002 0.004861 792.321 286.400 0.00006689170 0.00025619730 0.0000754075 0.0001052169 201716.211 200144.335 200731.031 2.59357 -12.20142 -0.03277 0.0002469724 -2.31686 43.004 0.004977 792.608 286.536 0.00006646368 0.00025651128 0.0000748570 0.0001052409 201972.438 200439.710 200996.875 2.64419 -12.45125 -0.02951 0.0002464459 -2.42314 44.006 0.005093 792.911 286.679 0.00006603803 0.00025681621 0.0000743062 0.0001052553 202243.981 200750.257 201278.294 2.69405 -12.69850 -0.02607 0.0002459095 -2.53157 45.009 0.005209 793.232 286.827 0.00006561483 0.00025711200 0.0000737552 0.0001052600 202530.873 201075.988 201575.320 2.74312 -12.94312 -0.02244 0.0002453632 -2.64211 46.002 0.005324 793.566 286.978 0.00006519776 0.00025739613 0.0000732090 0.0001052552 202830.480 201413.911 201885.227 2.79098 -13.18298 -0.01865 0.0002448122 -2.75377 47.004 0.005440 793.920 287.137 0.00006477964 0.00025767346 0.0000726582 0.0001052407 203148.048 201769.916 202213.437 2.83844 -13.42222 -0.01463 0.0002442469 -2.86847 48.007 0.005556 794.290 287.300 0.00006436419 0.00025794138 0.0000721077 0.0001052166 203481.078 202141.145 202557.361 2.88507 -13.65868 -0.01042 0.0002436723 -2.98524 49.000 0.005671 794.675 287.468 0.00006395504 0.00025819761 0.0000715625 0.0001051833 203826.539 202524.216 202913.870 2.93046 -13.89030 -0.00606 0.0002430937 -3.10301 50.003 0.005787 795.079 287.642 0.00006354513 0.00025844652 0.0000710132 0.0001051400 204190.481 202925.805 203289.204 2.97538 -14.12107 -0.00147 0.0002425012 -3.22382 51.005 0.005903 795.500 287.822 0.00006313812 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0.00009153127 0.00022794747 0.0001001767 0.0000909184 210227.443 206731.659 209147.374 6.78292 3.84822 3.15835 0.0002574431 4.33353 349.007 0.040394 801.075 287.131 0.00009107884 0.00022864384 0.0000998725 0.0000913778 209665.351 206196.104 208578.680 6.85039 3.52440 3.15139 0.0002575983 4.36455 350.001 0.040509 800.484 286.965 0.00009062885 0.00022932890 0.0000995631 0.0000918280 209123.564 205681.205 208030.695 6.91740 3.20356 3.14469 0.0002577391 4.39249 351.003 0.040625 799.905 286.804 0.00009017354 0.00023001449 0.0000992431 0.0000922766 208592.633 205177.960 207493.857 6.98509 2.88018 3.13812 0.0002578676 4.41783 352.005 0.040741 799.341 286.649 0.00008971691 0.00023069456 0.0000989153 0.0000927195 208077.304 204690.868 206972.967 7.05288 2.55708 3.13175 0.0002579828 4.44034 353.007 0.040857 798.793 286.500 0.00008925904 0.00023136904 0.0000985798 0.0000931566 207577.550 204219.884 206467.996 7.12073 2.23433 3.12557 0.0002580844 4.46001 354.001 0.040972 798.266 286.358 0.00008880397 0.00023203212 0.0000982397 0.0000935840 207097.447 203768.815 205983.059 7.18806 1.91474 3.11964 0.0002581718 4.47672 355.003 0.041088 797.751 286.221 0.00008834387 0.00023269528 0.0000978892 0.0000940092 206628.617 203329.769 205509.691 7.25601 1.59281 3.11385 0.0002582464 4.49078 356.005 0.041204 797.251 286.090 0.00008788277 0.00023335264 0.0000975314 0.0000944281 206175.271 202906.695 205052.145 7.32399 1.27137 3.10825 0.0002583075 4.50204 357.008 0.041320 796.768 285.966 0.00008742076 0.00023400416 0.0000971662 0.0000948408 205737.380 202499.547 204610.391 7.39198 0.95046 3.10285 0.0002583550 4.51050 358.001 0.041435 796.305 285.848 0.00008696189 0.00023464421 0.0000967971 0.0000952435 205318.492 202111.587 204188.002 7.45938 0.63288 3.09768 0.0002583886 4.51614 359.004 0.041551 795.855 285.735 0.00008649827 0.00023528388 0.0000964178 0.0000956432 204911.293 201736.025 203777.602 7.52734 0.31317 3.09266 0.0002584090 4.51906 360.006 0.041667 795.421 285.628 0.00008603395 0.00023591750 0.0000960316 0.0000960361 204519.464 201376.260 203382.902 7.59526 -0.00587 3.08783 0.0002584157 4.51923 Engine speed (Hz) = 24.0000000000 Output power (W) = 108.4611702556 Heat into heater (W) = 182.2862315710 Heat to regenerator (W) = -0.1409325498 Heat removal from cooler (W) = 74.1079455858 Approximate Pumping loss (W) = -11.0068260023 Thermal efficiency (%) = 59.5004731410 The average engine pressure (Pa) = 272060.3489415571 The exp space work per cycle (J) = 7.5954136100 The comp space work per cycle (J) = -3.0761981827 The net work per cycle (J) = 4.5192154273 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7704776628 The expansion work for Vmin-to-Vmax (J) = 26.2896930901 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.009 0.000001 795.774 285.707 0.00008608396 0.00023581439 0.0000960303 0.0000960374 204731.988 201341.254 203506.679 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000112 795.357 285.607 0.00008562009 0.00023644084 0.0000956385 0.0000964223 204355.793 200999.774 203127.687 0.06757 -0.31766 -0.00464 0.0002584088 -0.00268 2.007 0.000223 794.957 285.513 0.00008515567 0.00023706117 0.0000952401 0.0000968003 203994.781 200673.914 202764.228 0.13507 -0.63457 -0.00908 0.0002583884 -0.00809 3.006 0.000334 794.572 285.424 0.00008469077 0.00023767532 0.0000948351 0.0000971713 203648.926 200363.633 202416.274 0.20248 -0.95070 -0.01334 0.0002583544 -0.01622 4.005 0.000445 794.204 285.342 0.00008422547 0.00023828324 0.0000944238 0.0000975352 203318.204 200068.895 202083.799 0.26980 -1.26598 -0.01741 0.0002583070 -0.02705 5.004 0.000556 793.853 285.265 0.00008375984 0.00023888486 0.0000940061 0.0000978918 203002.590 199789.660 201766.775 0.33700 -1.58039 -0.02128 0.0002582459 -0.04057 6.003 0.000667 793.517 285.195 0.00008329395 0.00023948013 0.0000935823 0.0000982412 202702.062 199525.894 201465.179 0.40406 -1.89388 -0.02497 0.0002581715 -0.05677 7.002 0.000778 793.199 285.130 0.00008282787 0.00024006897 0.0000931524 0.0000985830 202416.597 199277.562 201178.986 0.47098 -2.20640 -0.02847 0.0002580835 -0.07564 8.001 0.000889 792.896 285.071 0.00008236167 0.00024065134 0.0000927167 0.0000989174 202146.175 199044.629 200908.171 0.53773 -2.51792 -0.03179 0.0002579821 -0.09717 9.009 0.001001 792.608 285.017 0.00008189122 0.00024123232 0.0000922712 0.0000992470 201888.541 198825.173 200650.483 0.60490 -2.83118 -0.03494 0.0002578662 -0.12158 10.008 0.001112 792.339 284.970 0.00008142500 0.00024180149 0.0000918240 0.0000995658 201648.279 198623.082 200410.500 0.67128 -3.14054 -0.03788 0.0002577379 -0.14842 11.007 0.001223 792.087 284.929 0.00008095887 0.00024236399 0.0000913714 0.0000998769 201423.001 198436.296 200185.833 0.73743 -3.44877 -0.04062 0.0002575962 -0.17787 12.006 0.001334 791.851 284.893 0.00008049290 0.00024291977 0.0000909133 0.0001001799 201212.691 198264.787 199976.464 0.80336 -3.75582 -0.04319 0.0002574413 -0.20994 13.005 0.001445 791.632 284.863 0.00008002716 0.00024346876 0.0000904501 0.0001004750 201017.334 198108.527 199782.373 0.86904 -4.06165 -0.04556 0.0002572731 -0.24461 14.004 0.001556 791.429 284.839 0.00007956173 0.00024401091 0.0000899818 0.0001007619 200836.915 197967.492 199603.546 0.93445 -4.36622 -0.04775 0.0002570917 -0.28186 15.003 0.001667 791.243 284.820 0.00007909665 0.00024454615 0.0000895085 0.0001010406 200671.420 197841.655 199439.968 0.99958 -4.66949 -0.04975 0.0002568972 -0.32168 16.002 0.001778 791.074 284.808 0.00007863202 0.00024507442 0.0000890305 0.0001013111 200520.839 197730.995 199291.624 1.06442 -4.97141 -0.05156 0.0002566896 -0.36406 17.001 0.001889 790.921 284.801 0.00007816789 0.00024559565 0.0000885478 0.0001015731 200385.160 197635.488 199158.502 1.12894 -5.27195 -0.05319 0.0002564690 -0.40899 18.009 0.002001 790.784 284.800 0.00007770015 0.00024611439 0.0000880563 0.0001018290 200263.354 197554.459 199039.599 1.19370 -5.57375 -0.05465 0.0002562332 -0.45689 19.008 0.002112 790.665 284.804 0.00007723723 0.00024662131 0.0000875647 0.0001020740 200157.589 197489.337 198937.028 1.25754 -5.87137 -0.05590 0.0002559867 -0.50689 20.007 0.002223 790.563 284.814 0.00007677502 0.00024712100 0.0000870690 0.0001023103 200066.703 197439.310 198849.652 1.32101 -6.16749 -0.05697 0.0002557273 -0.55939 21.006 0.002334 790.477 284.830 0.00007631358 0.00024761341 0.0000865692 0.0001025380 199990.693 197404.364 198777.463 1.38410 -6.46206 -0.05785 0.0002554552 -0.61439 22.005 0.002445 790.408 284.851 0.00007585298 0.00024809846 0.0000860655 0.0001027570 199929.553 197384.484 198720.458 1.44680 -6.75503 -0.05855 0.0002551705 -0.67187 23.004 0.002556 790.356 284.879 0.00007539329 0.00024857610 0.0000855580 0.0001029671 199883.284 197379.655 198678.632 1.50908 -7.04636 -0.05906 0.0002548732 -0.73180 24.003 0.002667 790.320 284.911 0.00007493457 0.00024904625 0.0000850470 0.0001031684 199851.884 197389.866 198651.984 1.57092 -7.33602 -0.05939 0.0002545634 -0.79419 25.002 0.002778 790.302 284.950 0.00007447689 0.00024950885 0.0000845326 0.0001033607 199835.355 197415.106 198640.515 1.63232 -7.62396 -0.05953 0.0002542413 -0.85902 26.001 0.002889 790.300 284.993 0.00007402031 0.00024996383 0.0000840148 0.0001035440 199833.700 197455.365 198644.224 1.69325 -7.91013 -0.05948 0.0002539069 -0.92626 27.009 0.003001 790.315 285.043 0.00007356082 0.00025041512 0.0000834893 0.0001037198 199847.111 197511.203 198663.355 1.75425 -8.19706 -0.05925 0.0002535571 -0.99655 28.008 0.003112 790.347 285.099 0.00007310667 0.00025085459 0.0000829655 0.0001038849 199875.353 197581.615 198697.571 1.81419 -8.47956 -0.05883 0.0002531984 -1.06861 29.007 0.003223 790.395 285.159 0.00007265384 0.00025128623 0.0000824388 0.0001040408 199918.487 197667.026 198746.980 1.87363 -8.76018 -0.05823 0.0002528277 -1.14304 30.006 0.003334 790.461 285.225 0.00007220238 0.00025170997 0.0000819096 0.0001041875 199976.523 197767.433 198811.591 1.93253 -9.03886 -0.05744 0.0002524451 -1.21984 31.005 0.003445 790.543 285.297 0.00007175237 0.00025212574 0.0000813778 0.0001043250 200049.472 197882.833 198891.413 1.99088 -9.31557 -0.05646 0.0002520508 -1.29898 32.004 0.003556 790.642 285.374 0.00007130387 0.00025253347 0.0000808438 0.0001044532 200137.346 198013.225 198986.457 2.04866 -9.59026 -0.05530 0.0002516450 -1.38045 33.003 0.003667 790.757 285.457 0.00007085695 0.00025293309 0.0000803076 0.0001045720 200240.161 198158.608 199096.737 2.10586 -9.86289 -0.05395 0.0002512276 -1.46423 34.002 0.003778 790.890 285.545 0.00007041168 0.00025332451 0.0000797694 0.0001046815 200357.931 198318.984 199222.267 2.16247 -10.13340 -0.05241 0.0002507989 -1.55031 35.001 0.003889 791.039 285.639 0.00006996813 0.00025370766 0.0000792293 0.0001047815 200490.675 198494.354 199363.064 2.21846 -10.40177 -0.05069 0.0002503589 -1.63867 36.009 0.004001 791.207 285.739 0.00006952240 0.00025408581 0.0000786828 0.0001048730 200639.811 198686.505 199520.621 2.27431 -10.67033 -0.04876 0.0002499037 -1.73011 37.008 0.004112 791.390 285.844 0.00006908251 0.00025445212 0.0000781396 0.0001049541 200802.697 198892.010 199692.145 2.32901 -10.93424 -0.04666 0.0002494416 -1.82300 38.007 0.004223 791.590 285.954 0.00006864455 0.00025480993 0.0000775950 0.0001050257 200980.621 199112.523 199878.996 2.38305 -11.19586 -0.04438 0.0002489687 -1.91812 39.006 0.004334 791.806 286.069 0.00006820859 0.00025515915 0.0000770493 0.0001050878 201173.607 199348.051 200081.195 2.43640 -11.45515 -0.04190 0.0002484851 -2.01546 40.005 0.004445 792.039 286.190 0.00006777470 0.00025549971 0.0000765026 0.0001051404 201381.682 199598.600 200298.769 2.48906 -11.71206 -0.03924 0.0002479910 -2.11498 41.004 0.004556 792.289 286.316 0.00006734295 0.00025583153 0.0000759551 0.0001051834 201604.872 199864.179 200531.743 2.54100 -11.96654 -0.03639 0.0002474865 -2.21669 42.003 0.004667 792.556 286.448 0.00006691341 0.00025615451 0.0000754069 0.0001052169 201843.208 200144.798 200780.145 2.59221 -12.21855 -0.03335 0.0002469718 -2.32056 43.002 0.004778 792.840 286.585 0.00006648616 0.00025646858 0.0000748582 0.0001052408 202096.722 200440.466 201044.006 2.64268 -12.46804 -0.03013 0.0002464471 -2.42656 44.001 0.004889 793.140 286.728 0.00006606126 0.00025677365 0.0000743092 0.0001052552 202365.447 200751.195 201323.358 2.69238 -12.71496 -0.02671 0.0002459124 -2.53469 45.009 0.005001 793.460 286.877 0.00006563500 0.00025707225 0.0000737550 0.0001052600 202652.044 201080.000 201620.959 2.74174 -12.96146 -0.02307 0.0002453630 -2.64593 46.008 0.005112 793.794 287.030 0.00006521507 0.00025735896 0.0000732058 0.0001052551 202951.434 201421.021 201931.531 2.78986 -13.20307 -0.01927 0.0002448090 -2.75827 47.007 0.005223 794.145 287.188 0.00006479771 0.00025763640 0.0000726568 0.0001052407 203266.144 201777.139 202257.698 2.83717 -13.44197 -0.01528 0.0002442455 -2.87268 48.006 0.005334 794.512 287.352 0.00006438302 0.00025790448 0.0000721081 0.0001052167 203596.214 202148.367 202599.497 2.88365 -13.67811 -0.01110 0.0002436728 -2.98913 49.005 0.005445 794.896 287.521 0.00006397105 0.00025816311 0.0000715599 0.0001051831 203941.687 202534.719 202956.968 2.92929 -13.91143 -0.00672 0.0002430910 -3.10761 50.004 0.005556 795.297 287.695 0.00006356190 0.00025841218 0.0000710124 0.0001051399 204302.606 202936.209 203330.152 2.97408 -14.14188 -0.00216 0.0002425003 -3.22810 51.003 0.005667 795.714 287.875 0.00006315563 0.00025865161 0.0000704657 0.0001050873 204679.016 203352.851 203719.092 3.01799 -14.36941 0.00260 0.0002419010 -3.35057 52.002 0.005778 796.148 288.059 0.00006275233 0.00025888130 0.0000699200 0.0001050251 205070.963 203784.659 204123.833 3.06101 -14.59397 0.00755 0.0002412931 -3.47501 53.001 0.005889 796.598 288.249 0.00006235207 0.00025910114 0.0000693755 0.0001049534 205478.497 204231.647 204544.420 3.10312 -14.81550 0.01269 0.0002406768 -3.60140 54.009 0.006001 797.070 288.446 0.00006195138 0.00025931288 0.0000688274 0.0001048714 205905.550 204698.062 204984.905 3.14469 -15.03591 0.01808 0.0002400468 -3.73087 55.008 0.006112 797.554 288.647 0.00006155748 0.00025951264 0.0000682857 0.0001047807 206344.551 205175.591 205437.473 3.18494 -15.25121 0.02362 0.0002394144 -3.86110 56.007 0.006223 798.055 288.852 0.00006116688 0.00025970225 0.0000677457 0.0001046805 206799.294 205668.341 205906.034 3.22425 -15.46331 0.02935 0.0002387742 -3.99321 57.006 0.006334 798.572 289.063 0.00006077965 0.00025988161 0.0000672075 0.0001045710 207269.836 206176.326 206390.643 3.26259 -15.67218 0.03528 0.0002381265 -4.12717 58.005 0.006445 799.105 289.279 0.00006039587 0.00026005060 0.0000666713 0.0001044520 207756.235 206699.558 206891.353 3.29995 -15.87774 0.04141 0.0002374714 -4.26297 59.004 0.006556 799.655 289.500 0.00006001563 0.00026020913 0.0000661373 0.0001043238 208258.549 207238.049 207408.219 3.33632 -16.07994 0.04773 0.0002368091 -4.40058 60.003 0.006667 800.222 289.726 0.00005963903 0.00026035706 0.0000656056 0.0001041862 208776.841 207791.808 207941.301 3.37169 -16.27873 0.05425 0.0002361398 -4.53998 61.002 0.006778 800.805 289.957 0.00005926613 0.00026049431 0.0000650763 0.0001040394 209311.174 208360.845 208490.657 3.40603 -16.47405 0.06097 0.0002354638 -4.68114 62.001 0.006889 801.405 290.194 0.00005889704 0.00026062074 0.0000645497 0.0001038834 209861.615 208945.166 209056.350 3.43933 -16.66583 0.06789 0.0002347812 -4.82404 63.009 0.007001 802.027 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0.00008607896 0.00023583025 0.0000960303 0.0000960374 204706.517 201316.336 203481.368 7.58295 -0.00492 3.10244 0.0002584157 4.49250 Engine speed (Hz) = 25.0000000000 Output power (W) = 112.3122626912 Heat into heater (W) = 189.5738637700 Heat to regenerator (W) = -0.1229030621 Heat removal from cooler (W) = 77.5610010510 Approximate Pumping loss (W) = -12.3357102748 Thermal efficiency (%) = 59.2445922965 The average engine pressure (Pa) = 272092.4682462806 The exp space work per cycle (J) = 7.5835380109 The comp space work per cycle (J) = -3.0910475033 The net work per cycle (J) = 4.4924905076 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.7859916909 The expansion work for Vmin-to-Vmax (J) = 26.2784821985 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000000 796.090 285.733 0.00008613523 0.00023571774 0.0000960330 0.0000960347 204929.487 201282.311 203612.470 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.004 0.000107 795.671 285.633 0.00008566978 0.00023634672 0.0000956403 0.0000964206 204551.365 200941.377 203231.258 0.06767 -0.31881 -0.00466 0.0002584089 -0.00277 2.005 0.000214 795.268 285.539 0.00008520375 0.00023696958 0.0000952408 0.0000967996 204188.464 200616.146 202865.648 0.13527 -0.63688 -0.00914 0.0002583885 -0.00829 3.007 0.000321 794.882 285.451 0.00008473723 0.00023758625 0.0000948348 0.0000971716 203840.761 200306.575 202515.613 0.20280 -0.95417 -0.01342 0.0002583544 -0.01653 4.008 0.000428 794.512 285.369 0.00008427030 0.00023819667 0.0000944224 0.0000975363 203508.230 200012.628 202181.125 0.27022 -1.27062 -0.01751 0.0002583068 -0.02749 5.000 0.000534 794.162 285.293 0.00008380738 0.00023879516 0.0000940076 0.0000978906 203193.744 199736.794 201865.068 0.33690 -1.58326 -0.02138 0.0002582462 -0.04101 6.002 0.000641 793.825 285.223 0.00008333982 0.00023939295 0.0000935827 0.0000982408 202891.346 199473.833 201561.455 0.40408 -1.89793 -0.02509 0.0002581715 -0.05735 7.003 0.000748 793.504 285.159 0.00008287206 0.00023998431 0.0000931518 0.0000985835 202604.053 199226.385 201273.314 0.47112 -2.21165 -0.02862 0.0002580834 -0.07637 8.005 0.000855 793.200 285.100 0.00008240418 0.00024056917 0.0000927150 0.0000989187 202331.844 198994.415 201000.623 0.53799 -2.52435 -0.03195 0.0002579817 -0.09806 9.006 0.000962 792.913 285.047 0.00008193623 0.00024114748 0.0000922723 0.0000992462 202074.698 198777.890 200743.361 0.60468 -2.83601 -0.03510 0.0002578665 -0.12241 10.008 0.001069 792.642 285.001 0.00008146829 0.00024171916 0.0000918240 0.0000995658 201832.598 198576.777 200501.505 0.67117 -3.14658 -0.03806 0.0002577379 -0.14941 11.000 0.001175 792.390 284.960 0.00008100481 0.00024227890 0.0000913745 0.0000998748 201607.578 198392.712 200277.082 0.73683 -3.45313 -0.04080 0.0002575972 -0.17875 12.002 0.001282 792.152 284.925 0.00008053711 0.00024283722 0.0000909153 0.0001001786 201395.376 198222.192 200065.839 0.80289 -3.76140 -0.04339 0.0002574420 -0.21098 13.003 0.001389 791.931 284.895 0.00008006963 0.00024338873 0.0000904509 0.0001004745 201198.170 198066.998 199869.948 0.86869 -4.06845 -0.04578 0.0002572734 -0.24582 14.005 0.001496 791.726 284.872 0.00007960244 0.00024393337 0.0000899814 0.0001007621 201015.946 197927.102 199689.392 0.93423 -4.37424 -0.04799 0.0002570916 -0.28326 15.006 0.001603 791.539 284.854 0.00007913562 0.00024447107 0.0000895070 0.0001010415 200848.692 197802.481 199524.158 0.99949 -4.67873 -0.05001 0.0002568965 -0.32328 16.008 0.001710 791.367 284.842 0.00007866922 0.00024500178 0.0000890277 0.0001013126 200696.396 197693.109 199374.231 1.06446 -4.98187 -0.05185 0.0002566884 -0.36587 17.009 0.001817 791.213 284.836 0.00007820332 0.00024552544 0.0000885438 0.0001015753 200559.049 197598.966 199239.600 1.12911 -5.28362 -0.05349 0.0002564671 -0.41102 18.001 0.001923 791.076 284.835 0.00007774233 0.00024603717 0.0000880600 0.0001018271 200437.716 197520.696 199121.300 1.19283 -5.58114 -0.05494 0.0002562351 -0.45826 19.003 0.002030 790.955 284.840 0.00007727762 0.00024654658 0.0000875672 0.0001020727 200330.101 197456.805 199017.088 1.25680 -5.88001 -0.05622 0.0002559880 -0.50847 20.004 0.002137 790.851 284.851 0.00007681362 0.00024704874 0.0000870702 0.0001023098 200237.412 197408.083 198928.146 1.32041 -6.17736 -0.05730 0.0002557280 -0.56119 21.006 0.002244 790.763 284.867 0.00007635039 0.00024754357 0.0000865692 0.0001025380 200159.647 197374.513 198854.467 1.38364 -6.47316 -0.05821 0.0002554552 -0.61641 22.008 0.002351 790.693 284.889 0.00007588799 0.00024803103 0.0000860642 0.0001027575 200096.801 197356.081 198796.047 1.44647 -6.76735 -0.05892 0.0002551697 -0.67413 23.009 0.002458 790.639 284.917 0.00007542650 0.00024851104 0.0000855555 0.0001029682 200048.875 197352.772 198752.883 1.50888 -7.05991 -0.05945 0.0002548716 -0.73432 24.001 0.002564 790.602 284.950 0.00007497028 0.00024897914 0.0000850479 0.0001031680 200016.107 197364.393 198725.163 1.57029 -7.34807 -0.05979 0.0002545640 -0.79637 25.003 0.002671 790.581 284.989 0.00007451080 0.00024944412 0.0000845322 0.0001033608 199997.882 197391.154 198712.366 1.63183 -7.63723 -0.05994 0.0002542410 -0.86144 26.004 0.002778 790.577 285.034 0.00007405243 0.00024990144 0.0000840132 0.0001035446 199994.581 197433.004 198714.826 1.69290 -7.92463 -0.05991 0.0002539058 -0.92895 27.006 0.002885 790.590 285.084 0.00007359523 0.00025035103 0.0000834910 0.0001037193 200006.210 197489.937 198732.547 1.75349 -8.21021 -0.05970 0.0002535583 -0.99887 28.007 0.002992 790.620 285.140 0.00007313928 0.00025079283 0.0000829658 0.0001038848 200032.777 197561.944 198765.534 1.81357 -8.49393 -0.05929 0.0002531986 -1.07119 29.009 0.003099 790.667 285.201 0.00007268464 0.00025122677 0.0000824379 0.0001040411 200074.289 197649.020 198813.794 1.87315 -8.77576 -0.05870 0.0002528270 -1.14590 30.001 0.003205 790.730 285.268 0.00007223561 0.00025164882 0.0000819123 0.0001041868 200130.160 197750.136 198876.672 1.93164 -9.05304 -0.05793 0.0002524471 -1.22225 31.002 0.003312 790.810 285.340 0.00007178380 0.00025206688 0.0000813792 0.0001043247 200201.455 197867.197 198955.363 1.99013 -9.33096 -0.05697 0.0002520518 -1.30167 32.004 0.003419 790.907 285.418 0.00007133350 0.00025247686 0.0000808438 0.0001044532 200287.732 197999.319 199049.358 2.04806 -9.60685 -0.05582 0.0002516450 -1.38342 33.006 0.003526 791.021 285.502 0.00007088479 0.00025287868 0.0000803062 0.0001045723 200389.005 198146.499 199158.672 2.10540 -9.88067 -0.05448 0.0002512265 -1.46750 34.007 0.003633 791.152 285.591 0.00007043774 0.00025327226 0.0000797666 0.0001046820 200505.291 198308.740 199283.319 2.16214 -10.15237 -0.05296 0.0002507967 -1.55388 35.009 0.003740 791.299 285.685 0.00006999242 0.00025365753 0.0000792252 0.0001047823 200636.610 198486.041 199423.317 2.21826 -10.42190 -0.05125 0.0002503555 -1.64256 36.001 0.003846 791.462 285.785 0.00006955303 0.00025403093 0.0000786873 0.0001048722 200781.544 198676.540 199577.162 2.27324 -10.68674 -0.04936 0.0002499075 -1.73264 37.002 0.003953 791.643 285.890 0.00006911135 0.00025439941 0.0000781427 0.0001049536 200942.849 198883.835 199747.777 2.32808 -10.95184 -0.04728 0.0002494443 -1.82583 38.004 0.004060 791.841 286.001 0.00006867162 0.00025475935 0.0000775968 0.0001050255 201119.254 199106.202 199933.804 2.38226 -11.21463 -0.04500 0.0002489703 -1.92125 39.005 0.004167 792.056 286.117 0.00006823390 0.00025511065 0.0000770497 0.0001050877 201310.783 199343.650 200135.269 2.43575 -11.47508 -0.04254 0.0002484855 -2.01890 40.007 0.004274 792.288 286.239 0.00006779825 0.00025545324 0.0000765016 0.0001051405 201517.464 199596.184 200352.197 2.48854 -11.73313 -0.03988 0.0002479901 -2.11876 41.008 0.004381 792.536 286.366 0.00006736477 0.00025578703 0.0000759527 0.0001051836 201739.327 199863.813 200584.615 2.54062 -11.98874 -0.03704 0.0002474843 -2.22080 42.000 0.004487 792.799 286.498 0.00006693753 0.00025610894 0.0000754083 0.0001052168 201974.116 200143.833 200830.164 2.59148 -12.23951 -0.03404 0.0002469731 -2.32403 43.002 0.004594 793.081 286.635 0.00006650855 0.00025642496 0.0000748582 0.0001052408 202226.295 200441.538 201093.508 2.64208 -12.49012 -0.03081 0.0002464471 -2.43037 44.004 0.004701 793.380 286.779 0.00006608194 0.00025673192 0.0000743078 0.0001052552 202493.753 200754.365 201372.436 2.69191 -12.73815 -0.02740 0.0002459110 -2.53885 45.005 0.004808 793.695 286.927 0.00006565778 0.00025702973 0.0000737572 0.0001052600 202776.528 201082.328 201666.981 2.74096 -12.98354 -0.02380 0.0002453652 -2.64944 46.007 0.004915 794.028 287.081 0.00006523615 0.00025731830 0.0000732066 0.0001052551 203074.657 201425.436 201977.181 2.78921 -13.22624 -0.02000 0.0002448098 -2.76212 47.008 0.005022 794.377 287.241 0.00006481712 0.00025759754 0.0000726562 0.0001052407 203388.180 201783.703 202303.073 2.83665 -13.46622 -0.01602 0.0002442449 -2.87688 48.000 0.005128 794.740 287.404 0.00006440464 0.00025786487 0.0000721112 0.0001052168 203713.994 202153.580 202641.431 2.88282 -13.70120 -0.01188 0.0002436761 -2.99260 49.002 0.005235 795.122 287.574 0.00006399101 0.00025812526 0.0000715617 0.0001051832 204058.289 202542.059 202998.680 2.92859 -13.93558 -0.00751 0.0002430929 -3.11144 50.003 0.005342 795.521 287.749 0.00006358021 0.00025837603 0.0000710128 0.0001051400 204418.109 202945.735 203371.745 2.97349 -14.16707 -0.00294 0.0002425007 -3.23229 51.005 0.005449 795.938 287.929 0.00006317232 0.00025861708 0.0000704647 0.0001050872 204793.501 203364.622 203760.670 3.01752 -14.39562 0.00181 0.0002418999 -3.35513 52.006 0.005556 796.370 288.115 0.00006276742 0.00025884833 0.0000699176 0.0001050248 205184.514 203798.732 204165.501 3.06065 -14.62117 0.00677 0.0002412904 -3.47996 53.008 0.005663 796.820 288.306 0.00006236559 0.00025906966 0.0000693717 0.0001049528 205591.199 204248.079 204586.286 3.10288 -14.84368 0.01191 0.0002406726 -3.60673 54.009 0.005770 797.286 288.502 0.00006196691 0.00025928097 0.0000688272 0.0001048714 206013.608 204712.677 205023.075 3.14417 -15.06309 0.01726 0.0002400466 -3.73544 55.002 0.005876 797.764 288.702 0.00006157515 0.00025948034 0.0000682892 0.0001047813 206447.628 205187.982 205471.613 3.18416 -15.27733 0.02274 0.0002394185 -3.86483 56.003 0.005983 798.264 288.908 0.00006118298 0.00025967140 0.0000677478 0.0001046809 206901.504 205682.976 205940.416 3.22357 -15.49040 0.02848 0.0002387768 -3.99732 57.005 0.006090 798.780 289.120 0.00006079422 0.00025985214 0.0000672083 0.0001045711 207371.274 206193.257 206425.381 3.26202 -15.70019 0.03441 0.0002381274 -4.13167 58.006 0.006197 799.313 289.337 0.00006040894 0.00026002243 0.0000666707 0.0001044519 207856.998 206718.836 206926.566 3.29948 -15.90666 0.04054 0.0002374707 -4.26787 59.008 0.006304 799.862 289.559 0.00006002723 0.00026018216 0.0000661354 0.0001043233 208358.738 207259.724 207444.030 3.33594 -16.10975 0.04687 0.0002368067 -4.40589 60.009 0.006411 800.428 289.786 0.00005964918 0.00026033124 0.0000656023 0.0001041854 208876.560 207815.928 207977.832 3.37139 -16.30940 0.05340 0.0002361357 -4.54570 61.001 0.006517 801.006 290.016 0.00005927836 0.00026046829 0.0000650767 0.0001040395 209405.464 208382.045 208522.819 3.40549 -16.50372 0.06007 0.0002354643 -4.68595 62.003 0.006624 801.605 290.253 0.00005890785 0.00026059578 0.0000645488 0.0001038831 209955.501 208968.761 209089.337 3.43888 -16.69633 0.06700 0.0002347799 -4.82926 63.004 0.006731 802.220 290.496 0.00005854127 0.00026071226 0.0000640237 0.0001037175 210521.828 209570.809 209672.389 3.47121 -16.88532 0.07413 0.0002340892 -4.97430 64.006 0.006838 802.853 290.743 0.00005817870 0.00026081759 0.0000635015 0.0001035428 211104.520 210188.191 210272.048 3.50247 -17.07062 0.08147 0.0002333923 -5.12103 65.007 0.006945 803.501 290.995 0.00005782025 0.00026091167 0.0000629825 0.0001033589 211703.658 210820.902 210888.388 3.53265 -17.25216 0.08901 0.0002326895 -5.26944 66.009 0.007052 804.167 291.253 0.00005746600 0.00026099434 0.0000624668 0.0001031660 212319.325 211468.938 211521.489 3.56173 -17.42989 0.09675 0.0002319808 -5.41949 67.001 0.007158 804.842 291.513 0.00005711930 0.00026106488 0.0000619593 0.0001029661 212945.625 212126.014 212165.284 3.58944 -17.60214 0.10463 0.0002312734 -5.56973 68.003 0.007265 805.540 291.780 0.00005677371 0.00026112447 0.0000614506 0.0001027553 213594.470 212804.509 212832.012 3.61630 -17.77207 0.11278 0.0002305540 -5.72297 69.004 0.007372 806.255 292.052 0.00005643262 0.00026117225 0.0000609457 0.0001025358 214260.136 213498.267 213515.786 3.64202 -17.93798 0.12115 0.0002298295 -5.87778 70.006 0.007479 806.986 292.329 0.00005609614 0.00026120805 0.0000604447 0.0001023074 214942.747 214207.243 214216.731 3.66658 -18.09979 0.12972 0.0002291001 -6.03411 71.007 0.007586 807.734 292.611 0.00005576438 0.00026123170 0.0000599478 0.0001020703 215642.451 214931.368 214935.009 3.68998 -18.25743 0.13851 0.0002283660 -6.19196 72.009 0.007693 808.499 292.898 0.00005543746 0.00026124297 0.0000594550 0.0001018245 216359.453 215670.507 215670.878 3.71219 -18.41079 0.14751 0.0002276276 -6.35128 73.001 0.007799 809.273 293.187 0.00005511848 0.00026124188 0.0000589712 0.0001015726 217087.033 216417.685 216417.026 3.73302 -18.55844 0.15663 0.0002268919 -6.51054 74.002 0.007906 810.069 293.484 0.00005480126 0.00026122965 0.0000584873 0.0001013099 217837.462 217188.827 217185.042 3.75293 -18.70345 0.16594 0.0002261452 -6.67271 75.004 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300.227 0.00010793341 0.00019495731 0.0001048729 0.0000688370 248388.160 244032.853 247817.865 4.22624 16.78331 3.65855 0.0002400580 0.36537 307.001 0.032799 839.757 299.795 0.00010764086 0.00019577708 0.0001049535 0.0000693765 247181.357 242803.631 246588.784 4.27667 16.51337 3.64352 0.0002406781 0.51668 308.002 0.032906 838.589 299.365 0.00010733931 0.00019660450 0.0001050254 0.0000699224 245977.798 241579.268 245362.868 4.32813 16.23799 3.62852 0.0002412958 0.66664 309.004 0.033013 837.432 298.941 0.00010703162 0.00019743163 0.0001050877 0.0000704695 244789.056 240371.537 244151.925 4.38015 15.95982 3.61371 0.0002419052 0.81379 310.005 0.033120 836.286 298.523 0.00010671794 0.00019825828 0.0001051404 0.0000710176 243615.246 239180.529 242956.091 4.43273 15.67895 3.59908 0.0002425060 0.95811 311.007 0.033227 835.150 298.112 0.00010639841 0.00019908424 0.0001051835 0.0000715665 242456.475 238006.326 241775.492 4.48586 15.39548 3.58464 0.0002430980 1.09959 312.008 0.033334 834.025 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295.410 0.00010401259 0.00020482401 0.0001052166 0.0000754131 234783.286 230272.308 233956.653 4.87222 13.34899 3.48899 0.0002469777 2.00837 319.000 0.034081 826.497 295.053 0.00010365454 0.00020563055 0.0001051833 0.0000759575 233757.245 229243.964 232911.127 4.92901 13.05085 3.47620 0.0002474888 2.12567 320.002 0.034188 825.468 294.698 0.00010328847 0.00020644250 0.0001051400 0.0000765065 232737.134 228223.028 231871.675 4.98682 12.74812 3.46348 0.0002479945 2.24118 321.003 0.034295 824.451 294.349 0.00010291787 0.00020725209 0.0001050872 0.0000770545 231732.747 227219.293 230848.286 5.04512 12.44366 3.45096 0.0002484898 2.35375 322.005 0.034402 823.447 294.007 0.00010254286 0.00020805918 0.0001050249 0.0000776016 230744.122 226232.764 229841.007 5.10389 12.13758 3.43864 0.0002489745 2.46339 323.006 0.034509 822.456 293.671 0.00010216356 0.00020886363 0.0001049529 0.0000781475 229771.290 225263.443 228849.878 5.16313 11.82993 3.42652 0.0002494484 2.57010 324.008 0.034616 821.478 293.341 0.00010178010 0.00020966530 0.0001048715 0.0000786920 228814.279 224311.325 227874.934 5.22283 11.52082 3.41459 0.0002499115 2.67386 325.000 0.034722 820.522 293.021 0.00010139622 0.00021045662 0.0001047814 0.0000792300 227881.834 223385.061 226925.092 5.28241 11.21321 3.40297 0.0002503594 2.77375 326.002 0.034829 819.571 292.705 0.00010100482 0.00021125238 0.0001046811 0.0000797714 226956.382 222467.163 225982.453 5.34298 10.90138 3.39144 0.0002508005 2.87164 327.003 0.034936 818.633 292.394 0.00010060960 0.00021204497 0.0001045713 0.0000803109 226046.808 221566.432 225056.078 5.40399 10.58830 3.38011 0.0002512302 2.96659 328.005 0.035043 817.710 292.090 0.00010021068 0.00021283429 0.0001044521 0.0000808485 225153.124 220682.850 224145.981 5.46540 10.27405 3.36897 0.0002516486 3.05859 329.006 0.035150 816.800 291.793 0.00009980817 0.00021362020 0.0001043235 0.0000813839 224275.337 219816.395 223252.175 5.52722 9.95869 3.35804 0.0002520554 3.14765 330.008 0.035257 815.904 291.501 0.00009940220 0.00021440259 0.0001041856 0.0000819169 223413.453 218967.040 222374.669 5.58944 9.64230 3.34731 0.0002524505 3.23375 331.009 0.035364 815.022 291.216 0.00009899286 0.00021518135 0.0001040383 0.0000824475 222567.471 218134.757 221513.469 5.65204 9.32495 3.33677 0.0002528338 3.31690 332.001 0.035470 814.162 290.940 0.00009858413 0.00021594914 0.0001038834 0.0000829705 221745.076 217327.057 220676.395 5.71441 9.00968 3.32653 0.0002532018 3.39637 333.003 0.035577 813.309 290.668 0.00009816842 0.00021672035 0.0001037178 0.0000834956 220930.745 216528.665 219847.654 5.77773 8.69061 3.31639 0.0002535614 3.47366 334.004 0.035684 812.470 290.402 0.00009774967 0.00021748760 0.0001035430 0.0000840177 220132.306 215747.245 219035.213 5.84140 8.37078 3.30645 0.0002539088 3.54801 335.006 0.035791 811.646 290.142 0.00009732798 0.00021825081 0.0001033592 0.0000845367 219349.747 214982.761 218239.065 5.90540 8.05026 3.29671 0.0002542439 3.61942 336.007 0.035898 810.836 289.889 0.00009690345 0.00021900986 0.0001031663 0.0000850524 218583.059 214235.173 217459.200 5.96972 7.72910 3.28717 0.0002545668 3.68789 337.009 0.036005 810.041 289.642 0.00009647620 0.00021976466 0.0001029644 0.0000855647 217832.227 213504.440 216695.605 6.03435 7.40737 3.27783 0.0002548772 3.75343 338.001 0.036111 809.269 289.404 0.00009605034 0.00022050813 0.0001027556 0.0000860686 217104.031 212797.114 215955.175 6.09866 7.08814 3.26878 0.0002551723 3.81546 339.003 0.036218 808.504 289.169 0.00009561795 0.00022125420 0.0001025361 0.0000865736 216384.715 212099.805 215223.923 6.16386 6.76546 3.25983 0.0002554577 3.87517 340.004 0.036325 807.753 288.941 0.00009518312 0.00022199575 0.0001023077 0.0000870746 215681.203 211419.221 214508.891 6.22933 6.44240 3.25108 0.0002557303 3.93196 341.006 0.036432 807.018 288.719 0.00009474596 0.00022273268 0.0001020706 0.0000875715 214993.475 210755.316 213810.058 6.29505 6.11900 3.24253 0.0002559902 3.98584 342.007 0.036539 806.299 288.504 0.00009430655 0.00022346492 0.0001018249 0.0000880643 214321.509 210108.043 213127.402 6.36101 5.79534 3.23418 0.0002562372 4.03680 343.009 0.036646 805.594 288.294 0.00009386499 0.00022419238 0.0001015706 0.0000885526 213665.282 209477.354 212460.900 6.42720 5.47146 3.22603 0.0002564712 4.08486 344.001 0.036752 804.911 288.093 0.00009342553 0.00022490825 0.0001013103 0.0000890320 213030.683 208868.865 211816.530 6.49298 5.15046 3.21815 0.0002566902 4.12962 345.002 0.036859 804.238 287.896 0.00009297997 0.00022562595 0.0001010391 0.0000895112 212405.715 208271.047 211182.109 6.55957 4.82633 3.21039 0.0002568983 4.17192 346.004 0.036966 803.579 287.705 0.00009253254 0.00022633863 0.0001007596 0.0000899856 211796.410 207689.670 210563.764 6.62634 4.50215 3.20282 0.0002570932 4.21133 347.005 0.037073 802.937 287.520 0.00009208332 0.00022704621 0.0001004719 0.0000904550 211202.742 207124.684 209961.466 6.69329 4.17798 3.19545 0.0002572750 4.24787 348.007 0.037180 802.310 287.342 0.00009163240 0.00022774862 0.0001001760 0.0000909194 210624.684 206576.041 209375.188 6.76039 3.85387 3.18828 0.0002574434 4.28154 349.008 0.037287 801.698 287.169 0.00009117987 0.00022844578 0.0000998721 0.0000913785 210062.209 206043.691 208804.899 6.82762 3.52987 3.18131 0.0002575985 4.31235 350.001 0.037393 801.108 287.005 0.00009073006 0.00022913118 0.0000995631 0.0000918280 209520.327 205532.334 208255.676 6.89435 3.20907 3.17459 0.0002577391 4.34006 351.002 0.037500 800.529 286.845 0.00009027458 0.00022981767 0.0000992433 0.0000922762 208988.787 205032.274 207717.128 6.96182 2.88545 3.16800 0.0002578676 4.36519 352.004 0.037607 799.965 286.691 0.00008981774 0.00023049870 0.0000989158 0.0000927188 208472.743 204548.363 207194.478 7.02937 2.56211 3.16160 0.0002579826 4.38749 353.005 0.037714 799.417 286.543 0.00008935963 0.00023117421 0.0000985805 0.0000931556 207972.168 204080.552 206687.697 7.09701 2.23907 3.15541 0.0002580842 4.40696 354.007 0.037821 798.885 286.401 0.00008890032 0.00023184410 0.0000982377 0.0000935865 207487.033 203628.794 206196.754 7.16471 1.91641 3.14940 0.0002581723 4.42361 355.008 0.037928 798.369 286.265 0.00008843991 0.00023250833 0.0000978875 0.0000940113 207017.308 203193.042 205721.618 7.23245 1.59415 3.14359 0.0002582468 4.43746 356.000 0.038034 797.874 286.137 0.00008798278 0.00023316070 0.0000975332 0.0000944261 206567.142 202777.100 205266.478 7.29959 1.27537 3.13802 0.0002583073 4.44841 357.002 0.038141 797.390 286.013 0.00008752039 0.00023381345 0.0000971683 0.0000948384 206128.011 202373.075 204822.716 7.36738 0.95408 3.13259 0.0002583548 4.45668 358.003 0.038248 796.922 285.895 0.00008705712 0.00023446032 0.0000967963 0.0000952444 205704.206 201984.919 204394.670 7.43517 0.63335 3.12735 0.0002583887 4.46218 359.005 0.038355 796.471 285.784 0.00008659306 0.00023510127 0.0000964173 0.0000956437 205295.701 201612.589 203982.310 7.50294 0.31323 3.12231 0.0002584090 4.46490 360.006 0.038462 796.035 285.678 0.00008612828 0.00023573622 0.0000960313 0.0000960364 204902.468 201256.043 203585.607 7.57068 -0.00625 3.11746 0.0002584157 4.46487 Engine speed (Hz) = 26.0000000000 Output power (W) = 116.0862102584 Heat into heater (W) = 196.8376355426 Heat to regenerator (W) = -0.1625383993 Heat removal from cooler (W) = 81.0538884906 Approximate Pumping loss (W) = -13.7631875126 Thermal efficiency (%) = 58.9756171062 The average engine pressure (Pa) = 272129.7546011029 The exp space work per cycle (J) = 7.5706316422 The comp space work per cycle (J) = -3.1057774015 The net work per cycle (J) = 4.4648542407 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.8020066931 The expansion work for Vmin-to-Vmax (J) = 26.2668609338 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000001 796.411 285.757 0.00008618262 0.00023562544 0.0000960310 0.0000960367 205129.090 201216.819 203717.189 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000104 795.992 285.658 0.00008571690 0.00023625511 0.0000956384 0.0000964224 204750.276 200877.617 203334.984 0.06757 -0.31905 -0.00468 0.0002584088 -0.00289 2.010 0.000207 795.588 285.565 0.00008525060 0.00023687868 0.0000952391 0.0000968012 204386.634 200554.110 202968.359 0.13509 -0.63736 -0.00916 0.0002583883 -0.00851 3.001 0.000309 795.205 285.478 0.00008478832 0.00023749012 0.0000948372 0.0000971694 204041.449 200249.170 202620.622 0.20186 -0.95182 -0.01341 0.0002583546 -0.01677 4.002 0.000412 794.834 285.397 0.00008432108 0.00023810136 0.0000944249 0.0000975341 203707.930 199956.779 202284.927 0.26920 -1.26855 -0.01752 0.0002583071 -0.02781 5.003 0.000515 794.480 285.321 0.00008385348 0.00023870631 0.0000940064 0.0000978916 203389.511 199679.964 201964.733 0.33643 -1.58442 -0.02144 0.0002582460 -0.04156 6.004 0.000618 794.142 285.252 0.00008338559 0.00023930490 0.0000935817 0.0000982417 203086.169 199418.688 201660.018 0.40352 -1.89938 -0.02517 0.0002581713 -0.05800 7.006 0.000721 793.821 285.188 0.00008291749 0.00023989709 0.0000931509 0.0000985843 202797.885 199172.915 201370.755 0.47048 -2.21339 -0.02870 0.0002580832 -0.07712 8.007 0.000824 793.516 285.130 0.00008244924 0.00024048280 0.0000927142 0.0000989193 202524.637 198942.610 201096.924 0.53727 -2.52640 -0.03205 0.0002579815 -0.09891 9.008 0.000927 793.227 285.078 0.00008198093 0.00024106197 0.0000922717 0.0000992466 202266.406 198727.739 200838.502 0.60388 -2.83837 -0.03522 0.0002578663 -0.12335 10.009 0.001030 792.955 285.032 0.00008151261 0.00024163453 0.0000918235 0.0000995662 202023.174 198528.270 200595.470 0.67031 -3.14926 -0.03819 0.0002577377 -0.15044 11.001 0.001132 792.702 284.992 0.00008104891 0.00024219497 0.0000913743 0.0000998749 201797.068 198345.886 200369.943 0.73587 -3.45602 -0.04095 0.0002575972 -0.17987 12.002 0.001235 792.463 284.957 0.00008058081 0.00024275421 0.0000909153 0.0001001786 201583.640 198176.981 200157.483 0.80186 -3.76463 -0.04355 0.0002574420 -0.21219 13.003 0.001338 792.240 284.928 0.00008011291 0.00024330667 0.0000904511 0.0001004744 201385.162 198023.391 199960.358 0.86760 -4.07203 -0.04596 0.0002572735 -0.24711 14.004 0.001441 792.034 284.905 0.00007964530 0.00024385226 0.0000899818 0.0001007619 201201.624 197885.087 199778.552 0.93307 -4.37817 -0.04818 0.0002570917 -0.28464 15.005 0.001544 791.845 284.888 0.00007917804 0.00024439095 0.0000895075 0.0001010412 201033.011 197762.044 199612.052 0.99828 -4.68302 -0.05022 0.0002568968 -0.32474 16.006 0.001647 791.672 284.877 0.00007871120 0.00024492265 0.0000890284 0.0001013122 200879.314 197654.239 199460.845 1.06318 -4.98653 -0.05207 0.0002566887 -0.36741 17.007 0.001750 791.516 284.871 0.00007824484 0.00024544731 0.0000885447 0.0001015748 200740.523 197561.648 199324.918 1.12778 -5.28866 -0.05373 0.0002564675 -0.41264 18.009 0.001853 791.377 284.871 0.00007777905 0.00024596486 0.0000880564 0.0001018289 200616.630 197484.251 199204.263 1.19204 -5.58936 -0.05521 0.0002562333 -0.46041 19.000 0.001955 791.256 284.877 0.00007731839 0.00024647032 0.0000875686 0.0001020720 200508.616 197422.558 199099.820 1.25534 -5.88571 -0.05648 0.0002559887 -0.51021 20.001 0.002058 791.150 284.888 0.00007685391 0.00024697353 0.0000870718 0.0001023090 200414.357 197375.342 199009.535 1.31890 -6.18345 -0.05759 0.0002557288 -0.56300 21.002 0.002161 791.060 284.905 0.00007639020 0.00024746943 0.0000865710 0.0001025372 200334.980 197343.265 198934.500 1.38209 -6.47964 -0.05851 0.0002554562 -0.61829 22.004 0.002264 790.988 284.928 0.00007592731 0.00024795797 0.0000860662 0.0001027567 200270.485 197326.309 198874.711 1.44487 -6.77425 -0.05924 0.0002551709 -0.67607 23.005 0.002367 790.932 284.956 0.00007546532 0.00024843906 0.0000855577 0.0001029673 200220.870 197324.462 198830.167 1.50725 -7.06721 -0.05978 0.0002548730 -0.73632 24.006 0.002470 790.892 284.990 0.00007500430 0.00024891265 0.0000850455 0.0001031690 200186.137 197337.711 198800.866 1.56919 -7.35850 -0.06014 0.0002545625 -0.79903 25.007 0.002573 790.870 285.030 0.00007454432 0.00024937866 0.0000845300 0.0001033617 200166.287 197366.043 198786.809 1.63069 -7.64806 -0.06031 0.0002542396 -0.86418 26.008 0.002676 790.864 285.075 0.00007408544 0.00024983703 0.0000840111 0.0001035453 200161.327 197409.450 198787.999 1.69172 -7.93586 -0.06030 0.0002539044 -0.93176 27.009 0.002779 790.876 285.126 0.00007362774 0.00025028768 0.0000834891 0.0001037199 200171.260 197467.922 198804.441 1.75227 -8.22185 -0.06010 0.0002535570 -1.00176 28.001 0.002881 790.903 285.182 0.00007317570 0.00025072629 0.0000829692 0.0001038837 200195.783 197540.665 198835.758 1.81175 -8.50324 -0.05971 0.0002532010 -1.07344 29.002 0.002984 790.948 285.244 0.00007272053 0.00025116137 0.0000824415 0.0001040400 200235.385 197629.101 198882.573 1.87129 -8.78550 -0.05914 0.0002528296 -1.14819 30.003 0.003087 791.009 285.312 0.00007226674 0.00025158853 0.0000819111 0.0001041871 200289.909 197732.583 198944.662 1.93030 -9.06582 -0.05838 0.0002524462 -1.22531 31.004 0.003190 791.087 285.385 0.00007181441 0.00025200767 0.0000813782 0.0001043249 200359.368 197851.110 199022.037 1.98877 -9.34416 -0.05744 0.0002520511 -1.30479 32.005 0.003293 791.182 285.463 0.00007136358 0.00025241874 0.0000808430 0.0001044533 200443.776 197984.678 199114.709 2.04667 -9.62047 -0.05630 0.0002516444 -1.38660 33.007 0.003396 791.294 285.548 0.00007091435 0.00025282166 0.0000803056 0.0001045724 200543.149 198133.286 199222.693 2.10398 -9.89471 -0.05498 0.0002512261 -1.47074 34.008 0.003499 791.422 285.637 0.00007046677 0.00025321634 0.0000797663 0.0001046821 200657.506 198296.936 199346.006 2.16070 -10.16684 -0.05347 0.0002507963 -1.55718 35.009 0.003602 791.568 285.732 0.00007002092 0.00025360271 0.0000792250 0.0001047823 200786.866 198475.627 199484.666 2.21680 -10.43680 -0.05178 0.0002503554 -1.64590 36.000 0.003704 791.728 285.832 0.00006958117 0.00025397706 0.0000786874 0.0001048722 200929.776 198667.410 199637.123 2.27173 -10.70196 -0.04991 0.0002499077 -1.73601 37.002 0.003807 791.907 285.938 0.00006913897 0.00025434666 0.0000781431 0.0001049536 201089.061 198876.048 199806.388 2.32656 -10.96748 -0.04784 0.0002494447 -1.82924 38.003 0.003910 792.103 286.049 0.00006869870 0.00025470771 0.0000775974 0.0001050254 201263.419 199099.740 199991.064 2.38072 -11.23070 -0.04558 0.0002489708 -1.92470 39.004 0.004013 792.315 286.166 0.00006826045 0.00025506012 0.0000770505 0.0001050877 201452.876 199338.489 200191.177 2.43419 -11.49158 -0.04313 0.0002484862 -2.02239 40.005 0.004116 792.544 286.289 0.00006782428 0.00025540381 0.0000765026 0.0001051404 201657.462 199592.304 200406.752 2.48697 -11.75005 -0.04050 0.0002479910 -2.12229 41.006 0.004219 792.790 286.416 0.00006739027 0.00025573871 0.0000759539 0.0001051835 201877.205 199861.191 200637.820 2.53903 -12.00609 -0.03767 0.0002474854 -2.22436 42.007 0.004322 793.053 286.549 0.00006695848 0.00025606472 0.0000754045 0.0001052170 202112.139 200145.158 200884.409 2.59036 -12.25964 -0.03465 0.0002469696 -2.32861 43.008 0.004425 793.333 286.688 0.00006652900 0.00025638175 0.0000748546 0.0001052410 202362.298 200444.215 201146.553 2.64094 -12.51065 -0.03145 0.0002464436 -2.43500 44.010 0.004528 793.629 286.832 0.00006610190 0.00025668972 0.0000743044 0.0001052553 202627.717 200758.372 201424.285 2.69076 -12.75907 -0.02805 0.0002459077 -2.54352 45.001 0.004630 793.939 286.979 0.00006568136 0.00025698567 0.0000737594 0.0001052600 202905.636 201084.369 201714.717 2.73932 -13.00248 -0.02450 0.0002453674 -2.65307 46.002 0.004733 794.269 287.134 0.00006525921 0.00025727533 0.0000732090 0.0001052552 203201.543 201428.609 202023.582 2.78756 -13.24560 -0.02072 0.0002448122 -2.76578 47.003 0.004836 794.616 287.294 0.00006483967 0.00025755565 0.0000726588 0.0001052407 203512.829 201787.981 202348.146 2.83499 -13.48599 -0.01675 0.0002442475 -2.88056 48.005 0.004939 794.979 287.459 0.00006442280 0.00025782654 0.0000721089 0.0001052167 203839.537 202162.497 202688.452 2.88159 -13.72359 -0.01258 0.0002436736 -2.99739 49.006 0.005042 795.359 287.629 0.00006400870 0.00025808790 0.0000715595 0.0001051830 204181.713 202552.170 203044.541 2.92734 -13.95835 -0.00823 0.0002430906 -3.11626 50.007 0.005145 795.756 287.805 0.00006359743 0.00025833963 0.0000710108 0.0001051398 204539.404 202957.010 203416.458 2.97223 -14.19021 -0.00368 0.0002424986 -3.23714 51.008 0.005248 796.169 287.986 0.00006318907 0.00025858164 0.0000704629 0.0001050870 204912.658 203377.031 203804.248 3.01625 -14.41913 0.00107 0.0002418979 -3.36002 52.009 0.005351 796.600 288.172 0.00006278371 0.00025881382 0.0000699161 0.0001050246 205301.526 203812.246 204207.961 3.05937 -14.64505 0.00600 0.0002412887 -3.48486 53.001 0.005453 797.042 288.362 0.00006238532 0.00025903397 0.0000693757 0.0001049534 205702.059 204258.220 204623.493 3.10117 -14.86577 0.01109 0.0002406771 -3.61042 54.002 0.005556 797.506 288.558 0.00006198617 0.00025924629 0.0000688313 0.0001048720 206122.164 204723.710 205059.044 3.14247 -15.08557 0.01642 0.0002400513 -3.73913 55.003 0.005659 797.986 288.760 0.00006159025 0.00025944848 0.0000682884 0.0001047812 206558.046 205204.430 205510.671 3.18283 -15.30220 0.02194 0.0002394176 -3.86975 56.004 0.005762 798.483 288.967 0.00006119766 0.00025964042 0.0000677473 0.0001046808 207009.766 205700.391 205978.428 3.22223 -15.51561 0.02766 0.0002387761 -4.00225 57.005 0.005865 798.997 289.179 0.00006080847 0.00025982202 0.0000672079 0.0001045710 207477.383 206211.602 206462.374 3.26066 -15.72574 0.03358 0.0002381270 -4.13662 58.006 0.005968 799.527 289.396 0.00006042278 0.00025999315 0.0000666706 0.0001044519 207960.960 206738.075 206962.565 3.29811 -15.93254 0.03970 0.0002374704 -4.27283 59.008 0.006071 800.074 289.619 0.00006004067 0.00026015371 0.0000661354 0.0001043233 208460.563 207279.817 207479.065 3.33456 -16.13595 0.04602 0.0002368067 -4.41085 60.009 0.006174 800.638 289.846 0.00005966222 0.00026030357 0.0000656025 0.0001041854 208976.259 207836.835 208011.935 3.37000 -16.33591 0.05254 0.0002361359 -4.55067 61.000 0.006276 801.212 290.076 0.00005929115 0.00026044134 0.0000650773 0.0001040397 209502.878 208403.505 208555.829 3.40408 -16.53047 0.05919 0.0002354650 -4.69087 62.001 0.006379 801.809 290.314 0.00005892026 0.00026056958 0.0000645495 0.0001038834 210050.815 208990.942 209121.480 3.43745 -16.72338 0.06611 0.0002347809 -4.83419 63.003 0.006482 802.422 290.557 0.00005855331 0.00026068678 0.0000640246 0.0001037178 210615.065 209593.666 209703.706 3.46977 -16.91265 0.07323 0.0002340905 -4.97922 64.004 0.006585 803.052 290.804 0.00005819039 0.00026079281 0.0000635027 0.0001035432 211195.705 210211.674 210302.582 3.50102 -17.09823 0.08056 0.0002333938 -5.12595 65.005 0.006688 803.699 291.057 0.00005783159 0.00026088754 0.0000629838 0.0001033594 211792.820 210844.962 210918.186 3.53118 -17.28004 0.08809 0.0002326912 -5.27435 66.006 0.006791 804.362 291.315 0.00005747701 0.00026097085 0.0000624683 0.0001031666 212406.497 211493.518 211550.602 3.56025 -17.45803 0.09583 0.0002319829 -5.42439 67.007 0.006894 805.041 291.577 0.00005712674 0.00026104259 0.0000619562 0.0001029648 213036.830 212157.329 212199.920 3.58820 -17.63212 0.10377 0.0002312690 -5.57605 68.008 0.006997 805.738 291.845 0.00005678088 0.00026110262 0.0000614477 0.0001027541 213683.923 212836.371 212866.240 3.61503 -17.80225 0.11192 0.0002305498 -5.72929 69.009 0.007100 806.450 292.117 0.00005643954 0.00026115079 0.0000609430 0.0001025345 214347.887 213530.611 213549.674 3.64072 -17.96834 0.12028 0.0002298256 -5.88410 70.001 0.007202 807.173 292.392 0.00005610608 0.00026118665 0.0000604470 0.0001023085 215022.160 214233.038 214243.470 3.66502 -18.12877 0.12877 0.0002291035 -6.03891 71.002 0.007305 807.918 292.674 0.00005577405 0.00026121071 0.0000599502 0.0001020715 215720.117 214957.349 214961.403 3.68839 -18.28659 0.13755 0.0002283698 -6.19674 72.003 0.007408 808.681 292.961 0.00005544688 0.00026122233 0.0000594577 0.0001018259 216435.450 215696.585 215697.029 3.71057 -18.44013 0.14655 0.0002276316 -6.35604 73.004 0.007511 809.461 293.252 0.00005512470 0.00026122144 0.0000589695 0.0001015717 217168.413 216450.866 216450.188 3.73156 -18.58930 0.15575 0.0002268892 -6.51679 74.006 0.007614 810.256 293.550 0.00005480732 0.00026120939 0.0000584858 0.0001013090 217917.527 217222.138 217218.166 3.75143 -18.73441 0.16507 0.0002261428 -6.67895 75.007 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81.004 0.008334 816.193 295.789 0.00005272523 0.00026080854 0.0000552430 0.0000992427 223571.281 223093.766 223006.457 3.85904 -19.63367 0.23382 0.0002208337 -7.84932 82.005 0.008437 817.095 296.132 0.00005244818 0.00026070451 0.0000548005 0.0000989153 224439.909 224002.239 223894.852 3.86987 -19.74502 0.24426 0.0002200639 -8.02161 83.006 0.008540 818.011 296.480 0.00005217667 0.00026058846 0.0000543639 0.0000985802 225323.548 224927.821 224798.335 3.87953 -19.85184 0.25488 0.0002192921 -8.19501 84.007 0.008643 818.939 296.834 0.00005191080 0.00026046031 0.0000539332 0.0000982375 226222.195 225870.494 225716.882 3.88803 -19.95405 0.26569 0.0002185187 -8.36948 85.009 0.008746 819.881 297.193 0.00005165070 0.00026031995 0.0000535085 0.0000978873 227135.842 226830.241 226650.468 3.89536 -20.05159 0.27669 0.0002177439 -8.54499 86.000 0.008848 820.825 297.553 0.00005139890 0.00026016882 0.0000530941 0.0000975333 228055.389 227797.474 227589.781 3.90146 -20.14352 0.28778 0.0002169754 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0.00018024686 0.0001018270 0.0000594599 272742.924 268878.777 272554.947 3.40421 21.05716 3.97535 0.0002276349 -2.85656 289.002 0.029733 862.444 308.518 0.00011187639 0.00018103297 0.0001020726 0.0000599525 271295.295 267370.431 271086.720 3.44479 20.85587 3.95739 0.0002283730 -2.65766 290.003 0.029836 861.140 307.989 0.00011171113 0.00018182367 0.0001023095 0.0000604493 269858.433 265874.727 269628.677 3.48591 20.64969 3.93956 0.0002291068 -2.46106 291.005 0.029939 859.840 307.465 0.00011153707 0.00018261865 0.0001025377 0.0000609501 268432.650 264392.020 268181.189 3.52757 20.43872 3.92185 0.0002298359 -2.26681 292.006 0.030042 858.547 306.946 0.00011135435 0.00018341760 0.0001027571 0.0000614549 267018.247 262922.645 266744.609 3.56979 20.22308 3.90428 0.0002305601 -2.07495 293.007 0.030145 857.259 306.431 0.00011116313 0.00018422023 0.0001029677 0.0000619634 265615.511 261466.919 265319.278 3.61256 20.00291 3.88684 0.0002312792 -1.88551 294.008 0.030248 855.977 305.922 0.00011096355 0.00018502624 0.0001031694 0.0000624756 264224.716 260025.143 263905.520 3.65590 19.77830 3.86955 0.0002319930 -1.69852 295.009 0.030351 854.702 305.417 0.00011075577 0.00018583537 0.0001033621 0.0000629912 262846.126 258597.599 262503.647 3.69979 19.54939 3.85240 0.0002327012 -1.51401 296.001 0.030453 853.445 304.923 0.00011054207 0.00018663942 0.0001035440 0.0000635050 261493.194 257198.201 261127.388 3.74382 19.31856 3.83556 0.0002333970 -1.33378 297.002 0.030556 852.184 304.429 0.00011031841 0.00018745391 0.0001037186 0.0000640269 260139.631 255799.759 259750.038 3.78885 19.08140 3.81871 0.0002340936 -1.15432 298.003 0.030659 850.930 303.941 0.00011008700 0.00018827068 0.0001038841 0.0000645519 258798.990 254416.297 258385.421 3.83445 18.84028 3.80202 0.0002347840 -0.97744 299.004 0.030762 849.683 303.458 0.00010984799 0.00018908949 0.0001040404 0.0000650796 257471.487 253048.035 257033.794 3.88062 18.59530 3.78548 0.0002354680 -0.80315 300.005 0.030865 848.445 302.981 0.00010960152 0.00018991007 0.0001041874 0.0000656100 256157.328 251695.180 255695.401 3.92736 18.34658 3.76911 0.0002361455 -0.63150 301.006 0.030968 847.215 302.509 0.00010934774 0.00019073219 0.0001043252 0.0000661429 254856.711 250357.922 254370.475 3.97468 18.09422 3.75290 0.0002368161 -0.46250 302.008 0.031071 845.993 302.044 0.00010908681 0.00019155559 0.0001044536 0.0000666782 253569.819 249036.439 253059.235 4.02257 17.83833 3.73686 0.0002374798 -0.29618 303.009 0.031174 844.780 301.584 0.00010881886 0.00019238004 0.0001045727 0.0000672155 252296.829 247730.897 251761.891 4.07103 17.57902 3.72099 0.0002381362 -0.13256 304.000 0.031276 843.588 301.134 0.00010854675 0.00019319729 0.0001046813 0.0000677497 251050.060 246453.891 250491.029 4.11959 17.31895 3.70545 0.0002387790 0.02678 305.001 0.031379 842.394 300.686 0.00010826529 0.00019402315 0.0001047816 0.0000682909 249805.221 245180.519 249221.916 4.16919 17.05315 3.68992 0.0002394205 0.18497 306.003 0.031482 841.209 300.244 0.00010797726 0.00019484938 0.0001048724 0.0000688337 248574.750 243923.511 247967.255 4.21936 16.78423 3.67457 0.0002400541 0.34039 307.004 0.031585 840.034 299.808 0.00010768279 0.00019567578 0.0001049537 0.0000693781 247358.787 242682.985 246727.212 4.27010 16.51231 3.65940 0.0002406798 0.49303 308.005 0.031688 838.869 299.378 0.00010738203 0.00019650213 0.0001050255 0.0000699238 246157.460 241459.049 245501.942 4.32139 16.23748 3.64441 0.0002412973 0.64288 309.006 0.031791 837.715 298.954 0.00010707512 0.00019732822 0.0001050878 0.0000704707 244970.890 240251.802 244291.589 4.37325 15.95984 3.62961 0.0002419065 0.78992 310.007 0.031894 836.571 298.536 0.00010676221 0.00019815387 0.0001051405 0.0000710186 243799.191 239061.333 243096.290 4.42566 15.67949 3.61498 0.0002425071 0.93413 311.008 0.031997 835.438 298.124 0.00010644343 0.00019897887 0.0001051836 0.0000715673 242642.467 237887.720 241916.172 4.47862 15.39653 3.60055 0.0002430989 1.07550 312.009 0.032100 834.315 297.719 0.00010611892 0.00019980304 0.0001052171 0.0000721167 241500.817 236731.035 240751.353 4.53213 15.11105 3.58630 0.0002436818 1.21402 313.001 0.032202 833.215 297.324 0.00010579205 0.00020061821 0.0001052408 0.0000726612 240385.195 235602.323 239613.028 4.58565 14.82595 3.57237 0.0002442501 1.34837 314.002 0.032305 832.115 296.931 0.00010545653 0.00020144018 0.0001052552 0.0000732114 239273.809 234479.507 238478.976 4.64023 14.53573 3.55850 0.0002448147 1.48118 315.003 0.032408 831.027 296.545 0.00010511569 0.00020226079 0.0001052600 0.0000737618 238177.746 233373.783 237360.527 4.69534 14.24326 3.54482 0.0002453698 1.61110 316.004 0.032511 829.950 296.164 0.00010476966 0.00020307986 0.0001052552 0.0000743122 237097.077 232285.190 236257.768 4.75097 13.94864 3.53133 0.0002459154 1.73813 317.006 0.032614 828.886 295.791 0.00010441856 0.00020389723 0.0001052407 0.0000748624 236031.866 231213.761 235170.776 4.80711 13.65196 3.51803 0.0002464512 1.86225 318.007 0.032717 827.834 295.423 0.00010406254 0.00020471274 0.0001052166 0.0000754123 234982.172 230159.523 234099.624 4.86377 13.35329 3.50493 0.0002469770 1.98347 319.008 0.032820 826.793 295.062 0.00010370170 0.00020552623 0.0001051830 0.0000759617 233948.047 229122.496 233044.377 4.92092 13.05272 3.49202 0.0002474927 2.10176 320.009 0.032923 825.766 294.707 0.00010333619 0.00020633755 0.0001051397 0.0000765104 232929.538 228102.695 232005.094 4.97857 12.75034 3.47930 0.0002479981 2.21713 321.000 0.033025 824.761 294.362 0.00010296973 0.00020713871 0.0001050874 0.0000770530 231936.348 227109.780 230991.686 5.03613 12.44919 3.46691 0.0002484884 2.32850 322.002 0.033128 823.759 294.020 0.00010259528 0.00020794528 0.0001050251 0.0000775998 230949.039 226124.287 229984.328 5.09474 12.14345 3.45458 0.0002489729 2.43804 323.003 0.033231 822.769 293.684 0.00010221652 0.00020874925 0.0001049532 0.0000781455 229977.456 225156.032 228993.075 5.15380 11.83613 3.44246 0.0002494468 2.54464 324.004 0.033334 821.793 293.355 0.00010183356 0.00020955048 0.0001048718 0.0000786899 229021.628 224205.010 228017.963 5.21333 11.52733 3.43053 0.0002499097 2.64830 325.005 0.033437 820.830 293.032 0.00010144654 0.00021034885 0.0001047809 0.0000792327 228081.577 223271.213 227059.023 5.27330 11.21711 3.41880 0.0002503617 2.74901 326.006 0.033540 819.881 292.716 0.00010105557 0.00021114421 0.0001046806 0.0000797739 227157.322 222354.626 226116.281 5.33372 10.90554 3.40727 0.0002508025 2.84678 327.007 0.033643 818.945 292.406 0.00010066077 0.00021193646 0.0001045708 0.0000803133 226248.879 221455.231 225189.760 5.39455 10.59272 3.39593 0.0002512321 2.94160 328.009 0.033746 818.023 292.102 0.00010026224 0.00021272546 0.0001044516 0.0000808506 225356.260 220573.010 224279.476 5.45581 10.27870 3.38480 0.0002516502 3.03348 329.000 0.033848 817.123 291.807 0.00009986403 0.00021350348 0.0001043243 0.0000813806 224487.908 219716.253 223394.044 5.51687 9.96662 3.37397 0.0002520529 3.12155 330.001 0.033951 816.228 291.516 0.00009945844 0.00021428567 0.0001041865 0.0000819135 223626.803 218868.135 222516.113 5.57892 9.65044 3.36323 0.0002524480 3.20756 331.002 0.034054 815.348 291.232 0.00009904946 0.00021506426 0.0001040394 0.0000824439 222781.536 218037.109 221654.448 5.64135 9.33329 3.35268 0.0002528313 3.29062 332.004 0.034157 814.481 290.953 0.00009863721 0.00021583916 0.0001038830 0.0000829716 221952.105 217223.142 220809.051 5.70416 9.01522 3.34234 0.0002532026 3.37074 333.005 0.034260 813.629 290.681 0.00009822179 0.00021661024 0.0001037175 0.0000834965 221138.507 216426.200 219979.921 5.76732 8.69630 3.33220 0.0002535620 3.44791 334.006 0.034363 812.792 290.416 0.00009780330 0.00021737741 0.0001035428 0.0000840185 220340.735 215646.247 219167.055 5.83083 8.37661 3.32226 0.0002539093 3.52213 335.007 0.034466 811.968 290.157 0.00009738186 0.00021814057 0.0001033590 0.0000845373 219558.781 214883.243 218370.445 5.89468 8.05620 3.31251 0.0002542443 3.59342 336.008 0.034569 811.160 289.904 0.00009695756 0.00021889961 0.0001031662 0.0000850528 218792.632 214137.148 217590.083 5.95884 7.73515 3.30296 0.0002545670 3.66177 337.009 0.034672 810.366 289.657 0.00009653051 0.00021965444 0.0001029644 0.0000855649 218042.277 213407.919 216825.956 6.02332 7.41351 3.29362 0.0002548773 3.72720 338.001 0.034774 809.594 289.419 0.00009610499 0.00022039769 0.0001027557 0.0000860685 217314.755 212702.350 216085.233 6.08746 7.09448 3.28456 0.0002551722 3.78910 339.002 0.034877 808.830 289.185 0.00009567276 0.00022114386 0.0001025362 0.0000865732 216595.785 212006.561 215353.375 6.15251 6.77186 3.27560 0.0002554575 3.84869 340.003 0.034980 808.080 288.957 0.00009523807 0.00022188554 0.0001023080 0.0000870740 215892.558 211327.504 214637.703 6.21784 6.44884 3.26685 0.0002557300 3.90537 341.004 0.035083 807.346 288.736 0.00009480103 0.00022262265 0.0001020710 0.0000875708 215205.053 210665.134 213938.199 6.28341 6.12547 3.25829 0.0002559898 3.95914 342.005 0.035186 806.627 288.521 0.00009436172 0.00022335509 0.0001018253 0.0000880634 214533.249 210019.403 213254.840 6.34923 5.80182 3.24993 0.0002562367 4.00999 343.007 0.035289 805.923 288.312 0.00009392024 0.00022408278 0.0001015711 0.0000885516 213877.124 209390.262 212587.603 6.41528 5.47794 3.24177 0.0002564707 4.05795 344.008 0.035392 805.234 288.109 0.00009347668 0.00022480565 0.0001013084 0.0000890353 213236.653 208777.663 211936.465 6.48154 5.15389 3.23380 0.0002566917 4.10300 345.009 0.035495 804.561 287.913 0.00009303114 0.00022552361 0.0001010373 0.0000895143 212611.813 208181.556 211301.399 6.54800 4.82973 3.22603 0.0002568996 4.14517 346.000 0.035597 803.910 287.724 0.00009258806 0.00022622968 0.0001007607 0.0000899839 212008.418 207607.440 210688.312 6.61400 4.50865 3.21853 0.0002570926 4.18409 347.001 0.035700 803.267 287.540 0.00009213884 0.00022693763 0.0001004731 0.0000904532 211414.610 207044.011 210085.156 6.68081 4.18442 3.21116 0.0002572743 4.22053 348.003 0.035803 802.640 287.362 0.00009168790 0.00022764044 0.0001001773 0.0000909174 210836.354 206496.925 209497.990 6.74778 3.86023 3.20397 0.0002574427 4.25410 349.004 0.035906 802.029 287.190 0.00009123533 0.00022833803 0.0000998735 0.0000913763 210273.623 205966.133 208926.786 6.81489 3.53615 3.19699 0.0002575979 4.28481 350.005 0.036009 801.434 287.024 0.00009078121 0.00022903034 0.0000995617 0.0000918299 209726.390 205451.587 208371.515 6.88212 3.21221 3.19019 0.0002577396 4.31267 351.006 0.036112 800.854 286.865 0.00009032564 0.00022971728 0.0000992420 0.0000922780 209194.626 204953.236 207832.147 6.94947 2.88848 3.18360 0.0002578680 4.33768 352.007 0.036215 800.290 286.711 0.00008986869 0.00023039878 0.0000989146 0.0000927204 208678.303 204471.031 207308.652 7.01691 2.56500 3.17719 0.0002579830 4.35986 353.008 0.036318 799.742 286.564 0.00008941044 0.00023107479 0.0000985795 0.0000931570 208177.393 204004.925 206800.999 7.08443 2.24183 3.17098 0.0002580845 4.37921 354.010 0.036421 799.210 286.423 0.00008895099 0.00023174522 0.0000982367 0.0000935877 207691.868 203554.868 206309.158 7.15201 1.91901 3.16496 0.0002581725 4.39575 355.001 0.036523 798.699 286.289 0.00008849489 0.00023240358 0.0000978900 0.0000940083 207226.191 203124.952 205837.646 7.21899 1.59971 3.15920 0.0002582463 4.40936 356.002 0.036626 798.198 286.160 0.00008803327 0.00023306271 0.0000975325 0.0000944268 206771.203 202706.699 205377.187 7.28665 1.27774 3.15356 0.0002583073 4.42031 357.003 0.036729 797.714 286.037 0.00008757069 0.00023371608 0.0000971678 0.0000948390 206331.517 202304.356 204932.449 7.35434 0.95626 3.14812 0.0002583548 4.42848 358.005 0.036832 797.246 285.920 0.00008710721 0.00023436360 0.0000967959 0.0000952448 205907.104 201917.878 204503.404 7.42202 0.63533 3.14287 0.0002583887 4.43387 359.006 0.036935 796.794 285.809 0.00008664292 0.00023500521 0.0000964170 0.0000956440 205497.939 201547.220 204090.023 7.48969 0.31499 3.13782 0.0002584090 4.43649 360.007 0.037038 796.358 285.703 0.00008617789 0.00023564085 0.0000960312 0.0000960366 205103.994 201192.338 203692.275 7.55733 -0.00472 3.13295 0.0002584157 4.43635 Engine speed (Hz) = 27.0000000000 Output power (W) = 119.7810069721 Heat into heater (W) = 204.0479760218 Heat to regenerator (W) = -0.1273526630 Heat removal from cooler (W) = 84.5896971530 Approximate Pumping loss (W) = -15.2916580576 Thermal efficiency (%) = 58.7023744648 The average engine pressure (Pa) = 272163.0401705756 The exp space work per cycle (J) = 7.5579820016 The comp space work per cycle (J) = -3.1216484100 The net work per cycle (J) = 4.4363335916 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.8185074228 The expansion work for Vmin-to-Vmax (J) = 26.2548410143 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 796.748 285.784 0.00008623732 0.00023552225 0.0000960338 0.0000960339 205340.089 201153.131 203830.217 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000100 796.325 285.684 0.00008576798 0.00023615722 0.0000956385 0.0000964223 204957.716 200813.134 203444.098 0.06796 -0.32159 -0.00472 0.0002584088 -0.00300 2.006 0.000199 795.922 285.592 0.00008530274 0.00023677976 0.0000952405 0.0000967999 204594.276 200492.213 203077.388 0.13518 -0.63925 -0.00921 0.0002583884 -0.00871 3.004 0.000298 795.535 285.505 0.00008483698 0.00023739620 0.0000948360 0.0000971705 204245.844 200186.849 202726.120 0.20233 -0.95614 -0.01351 0.0002583545 -0.01713 4.002 0.000397 795.165 285.425 0.00008437078 0.00023800647 0.0000944251 0.0000975340 203912.397 199897.001 202390.269 0.26938 -1.27224 -0.01762 0.0002583071 -0.02824 5.010 0.000497 794.807 285.349 0.00008389948 0.00023861659 0.0000940037 0.0000978939 203590.772 199619.940 202066.651 0.33700 -1.59066 -0.02157 0.0002582456 -0.04220 6.008 0.000596 794.469 285.281 0.00008343260 0.00023921428 0.0000935803 0.0000982428 203287.380 199361.168 201761.715 0.40382 -1.90500 -0.02530 0.0002581711 -0.05870 7.006 0.000695 794.148 285.218 0.00008296549 0.00023980561 0.0000931509 0.0000985843 202998.910 199117.801 201472.124 0.47049 -2.21841 -0.02885 0.0002580832 -0.07787 8.004 0.000794 793.842 285.161 0.00008249822 0.00024039052 0.0000927156 0.0000989182 202725.340 198889.803 201197.856 0.53701 -2.53084 -0.03220 0.0002579818 -0.09969 9.001 0.000893 793.554 285.109 0.00008203087 0.00024096896 0.0000922746 0.0000992445 202466.654 198677.141 200938.890 0.60336 -2.84224 -0.03537 0.0002578671 -0.12414 10.009 0.000993 793.278 285.063 0.00008155879 0.00024154659 0.0000918234 0.0000995663 202220.446 198477.868 200692.822 0.67018 -3.15571 -0.03838 0.0002577377 -0.15152 11.007 0.001092 793.022 285.024 0.00008109149 0.00024211181 0.0000913712 0.0000998770 201991.623 198295.937 200464.556 0.73613 -3.46492 -0.04117 0.0002575962 -0.18125 12.005 0.001191 792.783 284.990 0.00008062432 0.00024267036 0.0000909137 0.0001001797 201777.635 198129.249 200251.536 0.80185 -3.77299 -0.04378 0.0002574414 -0.21358 13.003 0.001290 792.560 284.962 0.00008015734 0.00024322218 0.0000904509 0.0001004745 201578.466 197977.775 200053.746 0.86734 -4.07985 -0.04620 0.0002572734 -0.24850 14.001 0.001389 792.353 284.940 0.00007969064 0.00024376720 0.0000899831 0.0001007611 201394.104 197841.489 199871.170 0.93256 -4.38548 -0.04843 0.0002570923 -0.28600 15.009 0.001489 792.161 284.923 0.00007921956 0.00024431076 0.0000895056 0.0001010423 201222.901 197719.218 199702.182 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303.001 0.00010964080 0.00018980692 0.0001041868 0.0000656077 256334.375 251583.648 255844.299 3.92210 18.33943 3.78545 0.0002361426 -0.65679 301.009 0.029862 847.486 302.525 0.00010938614 0.00019063358 0.0001043255 0.0000661443 255027.025 250236.617 254510.842 3.96960 18.08591 3.76914 0.0002368178 -0.48668 302.007 0.029961 846.271 302.061 0.00010912686 0.00019145329 0.0001044535 0.0000666778 253746.413 248918.890 253204.334 4.01719 17.83139 3.75315 0.0002374793 -0.32094 303.005 0.030060 845.064 301.602 0.00010886061 0.00019227408 0.0001045722 0.0000672134 252479.570 247617.080 251911.582 4.06535 17.57347 3.73734 0.0002381336 -0.15788 304.003 0.030159 843.867 301.149 0.00010858753 0.00019309572 0.0001046815 0.0000677510 251226.657 246331.337 250632.780 4.11407 17.31223 3.72169 0.0002387806 0.00247 305.001 0.030258 842.679 300.702 0.00010830775 0.00019391798 0.0001047815 0.0000682905 249987.828 245061.799 249368.115 4.16336 17.04780 3.70622 0.0002394200 0.16009 306.009 0.030358 841.488 300.256 0.00010801849 0.00019474897 0.0001048729 0.0000688370 248750.931 243796.017 248105.203 4.21373 16.77754 3.69077 0.0002400580 0.31652 307.007 0.030457 840.320 299.821 0.00010772569 0.00019557185 0.0001049540 0.0000693797 247540.841 242559.426 246869.470 4.26415 16.50696 3.67566 0.0002406816 0.46861 308.004 0.030556 839.161 299.392 0.00010742663 0.00019639472 0.0001050255 0.0000699236 246345.244 241339.388 245648.367 4.31513 16.23349 3.66072 0.0002412971 0.61791 309.002 0.030655 838.012 298.969 0.00010712144 0.00019721737 0.0001050876 0.0000704687 245164.258 240136.001 244442.041 4.36666 15.95721 3.64596 0.0002419043 0.76443 310.000 0.030754 836.874 298.553 0.00010681026 0.00019803962 0.0001051402 0.0000710148 243997.995 238949.349 243250.625 4.41874 15.67822 3.63139 0.0002425030 0.90813 311.008 0.030854 835.735 298.138 0.00010649000 0.00019886956 0.0001051836 0.0000715673 242835.004 237767.780 242062.441 4.47191 15.39377 3.61685 0.0002430989 1.05042 312.006 0.030953 834.618 297.734 0.00010616720 0.00019969041 0.0001052170 0.0000721149 241698.641 236614.995 240901.372 4.52509 15.10962 3.60265 0.0002436799 1.18844 313.004 0.031052 833.513 297.336 0.00010583882 0.00020051029 0.0001052409 0.0000726630 240577.290 235479.151 239755.568 4.57881 14.82305 3.58863 0.0002442519 1.32361 314.002 0.031151 832.419 296.944 0.00010550499 0.00020132903 0.0001052552 0.0000732114 239471.034 234360.302 238625.132 4.63305 14.53414 3.57480 0.0002448147 1.45592 315.010 0.031251 831.325 296.555 0.00010516240 0.00020215470 0.0001052600 0.0000737656 238369.005 233247.450 237498.974 4.68838 14.24003 3.56103 0.0002453736 1.58666 316.008 0.031350 830.254 296.176 0.00010481802 0.00020297061 0.0001052551 0.0000743142 237293.312 232162.891 236399.704 4.74368 13.94670 3.54758 0.0002459173 1.71320 317.006 0.031449 829.195 295.803 0.00010446859 0.00020378488 0.0001052407 0.0000748626 236232.923 231095.440 235316.060 4.79949 13.65129 3.53432 0.0002464513 1.83685 318.004 0.031548 828.147 295.437 0.00010411424 0.00020459733 0.0001052167 0.0000754107 235187.895 230045.121 234248.116 4.85580 13.35390 3.52126 0.0002469755 1.95760 319.002 0.031647 827.112 295.077 0.00010375510 0.00020540782 0.0001051832 0.0000759583 234158.279 229011.955 233195.936 4.91262 13.05461 3.50839 0.0002474895 2.07546 320.010 0.031747 826.080 294.719 0.00010338758 0.00020622435 0.0001051397 0.0000765108 233133.957 227985.778 232149.193 4.97050 12.75045 3.49558 0.0002479985 2.19156 321.008 0.031846 825.070 294.372 0.00010301916 0.00020703044 0.0001050870 0.0000770569 232135.457 226987.121 231128.874 5.02829 12.44758 3.48310 0.0002484919 2.30356 322.006 0.031945 824.072 294.031 0.00010264632 0.00020783412 0.0001050248 0.0000776020 231152.494 226005.639 230124.480 5.08655 12.14306 3.47081 0.0002489748 2.41266 323.004 0.032044 823.088 293.697 0.00010226918 0.00020863526 0.0001049532 0.0000781459 230185.100 225041.329 229136.053 5.14528 11.83696 3.45872 0.0002494471 2.51883 324.001 0.032143 822.116 293.368 0.00010188785 0.00020943371 0.0001048721 0.0000786885 229233.302 224094.184 228163.629 5.20446 11.52936 3.44683 0.0002499086 2.62208 325.009 0.032243 821.148 293.043 0.00010149854 0.00021023738 0.0001047805 0.0000792351 228287.746 223154.887 227197.661 5.26469 11.21721 3.43501 0.0002503636 2.72340 326.007 0.032342 820.203 292.728 0.00010110915 0.00021103006 0.0001046805 0.0000797745 227367.364 222242.209 226257.496 5.32476 10.90682 3.42351 0.0002508030 2.82076 327.005 0.032441 819.272 292.419 0.00010071593 0.00021181967 0.0001045710 0.0000803121 226462.635 221346.651 225333.415 5.38525 10.59516 3.41221 0.0002512312 2.91520 328.003 0.032540 818.354 292.116 0.00010031900 0.00021260610 0.0001044523 0.0000808477 225573.571 220468.192 224425.436 5.44616 10.28230 3.40110 0.0002516480 3.00670 329.001 0.032639 817.449 291.820 0.00009991845 0.00021338921 0.0001043242 0.0000813812 224700.181 219606.806 223533.572 5.50747 9.96831 3.39019 0.0002520534 3.09528 330.009 0.032739 816.550 291.527 0.00009951030 0.00021417677 0.0001041854 0.0000819177 223833.886 218754.023 222649.072 5.56980 9.65007 3.37937 0.0002524511 3.18177 331.007 0.032838 815.673 291.244 0.00009910284 0.00021495290 0.0001040387 0.0000824463 222992.013 217926.869 221789.630 5.63189 9.33401 3.36885 0.0002528330 3.26446 332.005 0.032937 814.810 290.967 0.00009869209 0.00021572539 0.0001038828 0.0000829724 222165.820 217116.694 220946.324 5.69435 9.01703 3.35854 0.0002532032 3.34422 333.003 0.033036 813.962 290.696 0.00009827817 0.00021649413 0.0001037178 0.0000834956 221355.302 216323.465 220119.153 5.75717 8.69920 3.34842 0.0002535614 3.42105 334.001 0.033135 813.128 290.432 0.00009786119 0.00021725902 0.0001035437 0.0000840159 220560.455 215547.143 219308.114 5.82033 8.38058 3.33850 0.0002539075 3.49496 335.009 0.033235 812.300 290.171 0.00009743698 0.00021802762 0.0001033586 0.0000845382 219773.478 214780.103 218505.255 5.88448 8.05800 3.32868 0.0002542449 3.56664 336.007 0.033334 811.495 289.919 0.00009701414 0.00021878445 0.0001031664 0.0000850521 219010.100 214037.644 217726.622 5.94830 7.73799 3.31915 0.0002545665 3.63468 337.005 0.033433 810.704 289.674 0.00009658855 0.00021953714 0.0001029653 0.0000855625 218262.360 213311.969 216964.097 6.01244 7.41737 3.30982 0.0002548758 3.69981 338.003 0.033532 809.928 289.434 0.00009616029 0.00022028559 0.0001027553 0.0000860694 217530.243 212603.031 216217.664 6.07687 7.09622 3.30069 0.0002551727 3.76202 339.000 0.033631 809.167 289.201 0.00009572947 0.00022102970 0.0001025366 0.0000865725 216813.732 211910.787 215487.309 6.14158 6.77459 3.29176 0.0002554571 3.82133 340.008 0.033731 808.413 288.972 0.00009529181 0.00022177683 0.0001023067 0.0000870767 216105.810 211228.451 214765.880 6.20722 6.44929 3.28293 0.0002557315 3.87829 341.006 0.033830 807.681 288.752 0.00009485613 0.00022251195 0.0001020704 0.0000875719 215420.616 210569.620 214067.788 6.27246 6.12689 3.27439 0.0002559904 3.93178 342.004 0.033929 806.965 288.538 0.00009441819 0.00022324247 0.0001018256 0.0000880629 214750.969 209927.340 213385.716 6.33794 5.80419 3.26605 0.0002562365 3.98237 343.002 0.034028 806.263 288.330 0.00009397807 0.00022396831 0.0001015722 0.0000885495 214096.850 209301.561 212719.643 6.40366 5.48124 3.25790 0.0002564697 4.03008 344.000 0.034127 805.577 288.128 0.00009353586 0.00022468939 0.0001013105 0.0000890316 213458.234 208692.235 212069.543 6.46958 5.15811 3.24995 0.0002566901 4.07491 345.008 0.034227 804.899 287.931 0.00009308716 0.00022541282 0.0001010375 0.0000895139 212828.882 208093.406 211429.069 6.53638 4.83158 3.24211 0.0002568995 4.11727 346.006 0.034326 804.244 287.742 0.00009264104 0.00022612407 0.0001007590 0.0000899866 212221.357 207517.001 210811.004 6.60269 4.50825 3.23455 0.0002570936 4.15634 347.004 0.034425 803.604 287.559 0.00009219309 0.00022683032 0.0001004723 0.0000904544 211629.261 206956.898 210208.836 6.66918 4.18489 3.22719 0.0002572747 4.19254 348.002 0.034524 802.979 287.382 0.00009174342 0.00022753149 0.0001001775 0.0000909170 211052.569 206413.047 209622.538 6.73583 3.86156 3.22001 0.0002574426 4.22590 349.010 0.034624 802.363 287.209 0.00009128755 0.00022823450 0.0000998716 0.0000913791 210485.662 205880.151 209046.401 6.80329 3.53505 3.21296 0.0002575988 4.25671 350.008 0.034723 801.770 287.045 0.00009083466 0.00022892523 0.0000995608 0.0000918312 209939.851 205368.817 208491.918 6.87020 3.21195 3.20618 0.0002577400 4.28436 351.006 0.034822 801.192 286.886 0.00009038031 0.00022961066 0.0000992421 0.0000922778 209409.363 204873.586 207953.219 6.93723 2.88903 3.19959 0.0002578680 4.30919 352.004 0.034921 800.629 286.734 0.00008992458 0.00023029072 0.0000989158 0.0000927188 208894.171 204394.408 207430.274 7.00435 2.56635 3.19319 0.0002579826 4.33120 353.002 0.035020 800.083 286.587 0.00008946754 0.00023096534 0.0000985818 0.0000931541 208394.246 203931.234 206923.055 7.07156 2.24396 3.18699 0.0002580838 4.35040 354.010 0.035120 799.547 286.446 0.00008900464 0.00023164118 0.0000982367 0.0000935877 207904.744 203479.580 206426.647 7.13951 1.91866 3.18092 0.0002581725 4.36695 355.008 0.035219 799.032 286.311 0.00008854522 0.00023230464 0.0000978877 0.0000940110 207435.426 203048.431 205950.948 7.20683 1.59699 3.17510 0.0002582467 4.38054 356.005 0.035318 798.533 286.183 0.00008808475 0.00023296247 0.0000975314 0.0000944281 206981.294 202633.142 205490.885 7.27419 1.27576 3.16947 0.0002583075 4.39134 357.003 0.035417 798.050 286.061 0.00008762329 0.00023361458 0.0000971678 0.0000948390 206542.321 202233.668 205046.430 7.34157 0.95502 3.16403 0.0002583548 4.39937 358.001 0.035516 797.583 285.945 0.00008716093 0.00023426090 0.0000967971 0.0000952435 206118.480 201849.963 204617.554 7.40895 0.63480 3.15879 0.0002583886 4.40464 359.009 0.035616 797.127 285.834 0.00008669307 0.00023490783 0.0000964156 0.0000956454 205705.694 201478.346 204200.131 7.47701 0.31193 3.15368 0.0002584091 4.40717 360.007 0.035715 796.692 285.729 0.00008622913 0.00023554234 0.0000960310 0.0000960367 205312.191 201126.204 203802.482 7.54435 -0.00709 3.14882 0.0002584157 4.40692 Engine speed (Hz) = 28.0000000000 Output power (W) = 123.3932509297 Heat into heater (W) = 211.2417867284 Heat to regenerator (W) = -0.1984354269 Heat removal from cooler (W) = 88.1668384280 Approximate Pumping loss (W) = -16.9249041984 Thermal efficiency (%) = 58.4132774300 The average engine pressure (Pa) = 272204.3321118455 The exp space work per cycle (J) = 7.5438930807 The comp space work per cycle (J) = -3.1369912617 The net work per cycle (J) = 4.4069018189 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.8355489802 The expansion work for Vmin-to-Vmax (J) = 26.2424507991 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000001 797.089 285.809 0.00008628694 0.00023542504 0.0000960310 0.0000960367 205552.180 201082.015 203941.151 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.009 0.000097 796.667 285.711 0.00008581985 0.00023605733 0.0000956380 0.0000964228 205171.147 200745.637 203556.043 0.06749 -0.32011 -0.00471 0.0002584088 -0.00311 2.001 0.000192 796.266 285.619 0.00008535701 0.00023667706 0.0000952424 0.0000967981 204808.967 200428.255 203190.296 0.13423 -0.63619 -0.00919 0.0002583886 -0.00889 3.003 0.000288 795.877 285.533 0.00008488876 0.00023729721 0.0000948362 0.0000971704 204457.991 200123.148 202836.182 0.20159 -0.95485 -0.01352 0.0002583545 -0.01744 4.006 0.000384 795.504 285.453 0.00008442005 0.00023791116 0.0000944235 0.0000975354 204122.089 199833.696 202497.608 0.26886 -1.27271 -0.01766 0.0002583069 -0.02872 5.008 0.000480 795.147 285.379 0.00008395094 0.00023851885 0.0000940044 0.0000978932 203801.237 199559.861 202174.548 0.33603 -1.58972 -0.02161 0.0002582457 -0.04270 6.010 0.000576 794.807 285.310 0.00008348151 0.00023912020 0.0000935792 0.0000982436 203495.415 199301.604 201866.980 0.40307 -1.90585 -0.02537 0.0002581709 -0.05939 7.002 0.000671 794.486 285.248 0.00008301674 0.00023970901 0.0000931524 0.0000985830 203207.555 199061.336 201577.844 0.46928 -2.21776 -0.02891 0.0002580835 -0.07854 8.004 0.000767 794.179 285.191 0.00008254690 0.00024029758 0.0000927153 0.0000989184 202931.577 198833.964 201301.030 0.53602 -2.53198 -0.03230 0.0002579817 -0.10056 9.006 0.000863 793.887 285.141 0.00008207697 0.00024087964 0.0000922723 0.0000992462 202670.571 198622.063 201039.643 0.60260 -2.84517 -0.03549 0.0002578665 -0.12524 10.009 0.000959 793.613 285.096 0.00008160701 0.00024145512 0.0000918237 0.0000995661 202424.520 198425.599 200793.662 0.66899 -3.15730 -0.03850 0.0002577378 -0.15257 11.001 0.001054 793.357 285.057 0.00008114199 0.00024201805 0.0000913743 0.0000998749 202195.739 198246.349 200565.392 0.73448 -3.46508 -0.04130 0.0002575972 -0.18221 12.003 0.001150 793.115 285.024 0.00008067220 0.00024258024 0.0000909148 0.0001001790 201979.396 198080.507 200350.010 0.80044 -3.77496 -0.04393 0.0002574418 -0.21478 13.005 0.001246 792.889 284.996 0.00008020259 0.00024313565 0.0000904501 0.0001004750 201777.964 197930.012 200149.982 0.86615 -4.08363 -0.04638 0.0002572731 -0.24996 14.007 0.001342 792.680 284.975 0.00007973324 0.00024368422 0.0000899803 0.0001007628 201591.430 197794.836 199965.295 0.93162 -4.39107 -0.04864 0.0002570911 -0.28774 15.009 0.001438 792.488 284.959 0.00007926423 0.00024422588 0.0000895055 0.0001010424 201419.784 197674.953 199795.935 0.99680 -4.69722 -0.05071 0.0002568959 -0.32810 16.001 0.001533 792.313 284.949 0.00007880049 0.00024475504 0.0000890309 0.0001013109 201264.573 197571.348 199643.416 1.06103 -4.99887 -0.05257 0.0002566897 -0.37058 17.004 0.001629 792.154 284.944 0.00007833235 0.00024528277 0.0000885466 0.0001015738 201122.520 197481.818 199504.516 1.12562 -5.30233 -0.05427 0.0002564684 -0.41605 18.006 0.001725 792.011 284.945 0.00007786474 0.00024580340 0.0000880578 0.0001018282 200995.330 197407.510 199380.912 1.18989 -5.60438 -0.05579 0.0002562340 -0.46407 19.008 0.001821 791.885 284.953 0.00007739774 0.00024631686 0.0000875647 0.0001020740 200882.998 197348.404 199272.596 1.25382 -5.90497 -0.05711 0.0002559867 -0.51462 20.010 0.001917 791.775 284.965 0.00007693143 0.00024682308 0.0000870673 0.0001023111 200785.519 197304.481 199179.562 1.31739 -6.20406 -0.05825 0.0002557264 -0.56769 21.002 0.002012 791.683 284.984 0.00007647071 0.00024731684 0.0000865711 0.0001025372 200703.676 197275.943 199102.537 1.37992 -6.49851 -0.05919 0.0002554563 -0.62267 22.004 0.002108 791.607 285.008 0.00007600596 0.00024780846 0.0000860658 0.0001027568 200635.745 197262.175 199039.897 1.44273 -6.79449 -0.05996 0.0002551707 -0.68071 23.007 0.002204 791.547 285.037 0.00007554209 0.00024829264 0.0000855567 0.0001029676 200582.666 197263.541 198992.530 1.50512 -7.08883 -0.06054 0.0002548724 -0.74122 24.009 0.002300 791.504 285.073 0.00007507919 0.00024876932 0.0000850441 0.0001031695 200544.440 197280.026 198960.437 1.56709 -7.38149 -0.06093 0.0002545616 -0.80420 25.001 0.002395 791.478 285.113 0.00007462211 0.00024923356 0.0000845333 0.0001033604 200521.240 197311.212 198943.717 1.62798 -7.66942 -0.06113 0.0002542418 -0.86893 26.003 0.002491 791.468 285.160 0.00007416132 0.00024969508 0.0000840139 0.0001035443 200512.581 197357.744 198942.022 1.68904 -7.95862 -0.06115 0.0002539063 -0.93676 27.005 0.002587 791.475 285.212 0.00007370170 0.00025014888 0.0000834914 0.0001037191 200518.794 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297.747 0.00010621536 0.00019957803 0.0001052170 0.0000721151 241897.228 236491.876 241051.077 4.51705 15.11143 3.61944 0.0002436801 1.16262 313.009 0.029982 833.817 297.347 0.00010588620 0.00020040081 0.0001052410 0.0000726656 240772.698 235351.385 239900.330 4.57084 14.82402 3.60536 0.0002442546 1.29831 314.001 0.030077 832.732 296.958 0.00010555504 0.00020121392 0.0001052552 0.0000732106 239674.816 234239.710 238776.787 4.62459 14.53727 3.59162 0.0002448139 1.42974 315.003 0.030173 831.646 296.571 0.00010521505 0.00020203431 0.0001052600 0.0000737616 238580.545 233133.492 237656.890 4.67944 14.24523 3.57792 0.0002453696 1.55968 316.005 0.030269 830.573 296.190 0.00010486980 0.00020285323 0.0001052552 0.0000743126 237501.589 232044.558 236552.633 4.73481 13.95100 3.56441 0.0002459158 1.68671 317.007 0.030365 829.511 295.815 0.00010451943 0.00020367054 0.0001052407 0.0000748634 236438.013 230972.937 235464.097 4.79070 13.65466 3.55110 0.0002464521 1.81083 318.010 0.030461 828.461 295.447 0.00010416407 0.00020448606 0.0001052166 0.0000754139 235389.874 229918.654 234391.357 4.84710 13.35630 3.53797 0.0002469785 1.93203 319.001 0.030556 827.434 295.089 0.00010380763 0.00020529117 0.0001051832 0.0000759581 234367.901 228892.436 233345.407 4.90341 13.05915 3.52518 0.0002474894 2.04908 320.004 0.030652 826.409 294.734 0.00010344273 0.00020610267 0.0001051400 0.0000765074 233350.625 227872.691 232304.287 4.96080 12.75702 3.51244 0.0002479954 2.16445 321.006 0.030748 825.396 294.385 0.00010307321 0.00020691193 0.0001050871 0.0000770559 232348.927 226870.317 231279.145 5.01868 12.45312 3.49990 0.0002484910 2.27688 322.008 0.030844 824.396 294.043 0.00010269920 0.00020771880 0.0001050247 0.0000776034 231362.842 225885.315 230270.029 5.07703 12.14754 3.48756 0.0002489760 2.38637 323.010 0.030940 823.409 293.707 0.00010232083 0.00020852315 0.0001049526 0.0000781496 230392.404 224917.680 229276.982 5.13586 11.84034 3.47541 0.0002494503 2.49291 324.002 0.031035 822.445 293.381 0.00010194222 0.00020931649 0.0001048720 0.0000786889 229447.504 223977.214 228310.136 5.19452 11.53484 3.46358 0.0002499089 2.59543 325.004 0.031131 821.484 293.058 0.00010155552 0.00021011541 0.0001047810 0.0000792323 228508.273 223044.104 227349.169 5.25425 11.22468 3.45183 0.0002503614 2.69610 326.007 0.031227 820.536 292.741 0.00010116482 0.00021091139 0.0001046805 0.0000797741 227584.758 222128.324 226404.369 5.31442 10.91314 3.44027 0.0002508027 2.79381 327.009 0.031323 819.602 292.431 0.00010077022 0.00021170433 0.0001045706 0.0000803140 226676.975 221229.853 225475.761 5.37502 10.60029 3.42891 0.0002512327 2.88857 328.001 0.031418 818.691 292.130 0.00010037601 0.00021248588 0.0001044526 0.0000808464 225794.146 220357.758 224572.783 5.43540 10.28949 3.41786 0.0002516469 2.97943 329.003 0.031514 817.784 291.833 0.00009997400 0.00021327238 0.0001043239 0.0000813821 224917.695 219493.652 223676.441 5.49683 9.97427 3.40690 0.0002520541 3.06830 330.005 0.031610 816.891 291.542 0.00009956845 0.00021405546 0.0001041859 0.0000819156 224057.001 218646.774 222796.334 5.55865 9.65796 3.39613 0.0002524495 3.15421 331.007 0.031706 816.011 291.258 0.00009915945 0.00021483502 0.0001040386 0.0000824465 223212.067 217817.092 221932.471 5.62086 9.34064 3.38556 0.0002528332 3.23717 332.010 0.031802 815.146 290.980 0.00009874712 0.00021561094 0.0001038820 0.0000829748 222382.891 217004.571 221084.854 5.68344 9.02236 3.37519 0.0002532049 3.31718 333.001 0.031897 814.304 290.711 0.00009833590 0.00021637510 0.0001037180 0.0000834948 221577.863 216217.371 220262.061 5.74573 8.70654 3.36513 0.0002535609 3.39344 334.004 0.031993 813.467 290.445 0.00009791726 0.00021714347 0.0001035432 0.0000840173 220780.028 215438.880 219446.768 5.80903 8.38657 3.35515 0.0002539085 3.46757 335.006 0.032089 812.645 290.186 0.00009749561 0.00021790788 0.0001033592 0.0000845367 219997.935 214677.431 218647.714 5.87266 8.06586 3.34538 0.0002542439 3.53876 336.008 0.032185 811.837 289.934 0.00009707104 0.00021866825 0.0001031662 0.0000850528 219231.572 213932.982 217864.891 5.93662 7.74447 3.33580 0.0002545670 3.60700 337.010 0.032281 811.044 289.688 0.00009664367 0.00021942446 0.0001029641 0.0000855654 218480.928 213205.487 217098.289 6.00090 7.42245 3.32643 0.0002548776 3.67230 338.002 0.032376 810.273 289.450 0.00009621808 0.00022016862 0.0001027554 0.0000860692 217753.562 212502.217 216355.629 6.06480 7.10324 3.31734 0.0002551726 3.73402 339.004 0.032472 809.509 289.217 0.00009578542 0.00022091629 0.0001025357 0.0000865745 217034.145 211808.317 215621.260 6.12966 6.78018 3.30836 0.0002554582 3.79349 340.007 0.032568 808.760 288.989 0.00009535025 0.00022165953 0.0001023071 0.0000870758 216330.399 211131.232 214903.067 6.19479 6.45668 3.29957 0.0002557310 3.85002 341.009 0.032664 808.026 288.768 0.00009491267 0.00022239826 0.0001020698 0.0000875731 215642.303 210470.911 214201.031 6.26018 6.13280 3.29098 0.0002559910 3.90363 342.001 0.032759 807.314 288.556 0.00009447737 0.00022312475 0.0001018265 0.0000880611 214976.762 209833.923 213522.195 6.32514 5.81198 3.28268 0.0002562356 3.95382 343.003 0.032855 806.610 288.348 0.00009403528 0.00022385422 0.0001015721 0.0000885498 214319.742 209206.808 212852.244 6.39101 5.48752 3.27448 0.0002564699 4.00163 344.005 0.032951 805.921 288.145 0.00009359106 0.00022457892 0.0001013091 0.0000890340 213678.308 208596.307 212198.385 6.45710 5.16286 3.26648 0.0002566912 4.04654 345.007 0.033047 805.248 287.950 0.00009314480 0.00022529876 0.0001010377 0.0000895136 213052.437 208002.368 211560.594 6.52339 4.83806 3.25868 0.0002568993 4.08856 346.010 0.033143 804.590 287.760 0.00009269660 0.00022601367 0.0001007580 0.0000899883 212442.103 207424.941 210938.846 6.58987 4.51316 3.25108 0.0002570943 4.12768 347.001 0.033238 803.953 287.578 0.00009225125 0.00022671619 0.0001004731 0.0000904532 211853.397 206869.731 210339.341 6.65584 4.19161 3.24374 0.0002572743 4.16356 348.004 0.033334 803.326 287.401 0.00009179945 0.00022742103 0.0001001770 0.0000909179 211273.901 206325.001 209749.431 6.72266 3.86670 3.23653 0.0002574429 4.19696 349.006 0.033430 802.714 287.230 0.00009134597 0.00022812071 0.0000998728 0.0000913773 210709.865 205796.627 209175.482 6.78962 3.54185 3.22951 0.0002575982 4.22749 350.008 0.033526 802.118 287.065 0.00009089090 0.00022881514 0.0000995607 0.0000918314 210161.263 205284.558 208617.466 6.85672 3.21713 3.22268 0.0002577401 4.25516 351.010 0.033622 801.537 286.907 0.00009043433 0.00022950425 0.0000992406 0.0000922799 209628.067 204788.745 208075.354 6.92393 2.89258 3.21605 0.0002578686 4.27998 352.002 0.033717 800.978 286.756 0.00008998112 0.00023018088 0.0000989162 0.0000927182 209115.565 204314.047 207554.517 6.99054 2.57163 3.20968 0.0002579825 4.30174 353.004 0.033813 800.429 286.609 0.00008952181 0.00023085920 0.0000985808 0.0000931553 208612.941 203850.423 207043.960 7.05793 2.24758 3.20343 0.0002580841 4.32092 354.007 0.033909 799.896 286.469 0.00008906125 0.00023153198 0.0000982377 0.0000935865 208125.642 203402.903 206549.220 7.12540 1.92386 3.19738 0.0002581723 4.33727 355.009 0.034005 799.378 286.335 0.00008859952 0.00023219917 0.0000978872 0.0000940116 207653.642 202971.439 206070.267 7.19292 1.60051 3.19152 0.0002582468 4.35080 356.001 0.034100 798.882 286.208 0.00008814152 0.00023285382 0.0000975330 0.0000944262 207201.591 202560.228 205611.816 7.25977 1.28095 3.18591 0.0002583073 4.36144 357.003 0.034196 798.396 286.086 0.00008767770 0.00023350965 0.0000971679 0.0000948389 206759.946 202160.565 205164.186 7.32735 0.95850 3.18043 0.0002583548 4.36940 358.005 0.034292 797.926 285.970 0.00008721296 0.00023415968 0.0000967956 0.0000952451 206333.520 201776.816 204732.255 7.39494 0.63657 3.17515 0.0002583887 4.37458 359.007 0.034388 797.473 285.860 0.00008674736 0.00023480384 0.0000964163 0.0000956447 205922.286 201408.934 204315.996 7.46252 0.31520 3.17006 0.0002584091 4.37698 360.010 0.034484 797.035 285.756 0.00008628099 0.00023544205 0.0000960301 0.0000960377 205526.218 201056.875 203915.381 7.53007 -0.00555 3.16516 0.0002584157 4.37662 Engine speed (Hz) = 29.0000000000 Output power (W) = 126.9214484672 Heat into heater (W) = 218.3721538994 Heat to regenerator (W) = -0.1608768961 Heat removal from cooler (W) = 91.7895751279 Approximate Pumping loss (W) = -18.6647518656 Thermal efficiency (%) = 58.1216268653 The average engine pressure (Pa) = 272239.7654926666 The exp space work per cycle (J) = 7.5303149441 The comp space work per cycle (J) = -3.1537132728 The net work per cycle (J) = 4.3766016713 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.8530090925 The expansion work for Vmin-to-Vmax (J) = 26.2296107637 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000001 797.443 285.835 0.00008634153 0.00023532014 0.0000960310 0.0000960367 205773.714 201010.903 204058.433 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000093 797.025 285.738 0.00008587803 0.00023594800 0.0000956414 0.0000964195 205394.998 200678.985 203675.301 0.06683 -0.31772 -0.00469 0.0002584089 -0.00318 2.005 0.000186 796.618 285.647 0.00008540885 0.00023657664 0.0000952408 0.0000967996 205027.223 200359.186 203303.565 0.13433 -0.63820 -0.00923 0.0002583885 -0.00914 3.010 0.000279 796.227 285.561 0.00008493911 0.00023719914 0.0000948337 0.0000971726 204674.564 200055.157 202947.450 0.20176 -0.95794 -0.01359 0.0002583543 -0.01784 4.003 0.000371 795.856 285.482 0.00008447394 0.00023780884 0.0000944245 0.0000975345 204340.547 199769.873 202610.509 0.26838 -1.27346 -0.01771 0.0002583070 -0.02914 5.008 0.000464 795.498 285.408 0.00008400331 0.00023841893 0.0000940046 0.0000978931 204017.891 199497.092 202285.392 0.33562 -1.59157 -0.02169 0.0002582457 -0.04326 6.001 0.000556 795.159 285.341 0.00008353741 0.00023901623 0.0000935830 0.0000982405 203713.514 199242.642 201979.068 0.40201 -1.90540 -0.02544 0.0002581716 -0.05990 7.006 0.000649 794.833 285.279 0.00008306618 0.00023961366 0.0000931509 0.0000985843 203420.779 199000.954 201684.857 0.46900 -2.22171 -0.02904 0.0002580832 -0.07941 8.010 0.000742 794.524 285.223 0.00008259477 0.00024020462 0.0000927127 0.0000989203 203143.056 198774.842 201406.149 0.53582 -2.53705 -0.03245 0.0002579811 -0.10160 9.004 0.000834 794.234 285.173 0.00008212832 0.00024078281 0.0000922736 0.0000992452 202883.073 198566.451 201145.672 0.60176 -2.84799 -0.03563 0.0002578668 -0.12618 10.008 0.000927 793.957 285.128 0.00008165676 0.00024136072 0.0000918240 0.0000995658 202635.163 198371.219 200897.744 0.66824 -3.16126 -0.03866 0.0002577379 -0.15367 11.002 0.001019 793.700 285.090 0.00008119031 0.00024192586 0.0000913738 0.0000998752 202404.640 198193.312 200667.680 0.73379 -3.47007 -0.04148 0.0002575970 -0.18348 12.006 0.001112 793.456 285.058 0.00008071889 0.00024249046 0.0000909133 0.0001001799 202186.480 198028.831 200450.462 0.79984 -3.78110 -0.04414 0.0002574413 -0.21623 13.010 0.001205 793.228 285.031 0.00008024764 0.00024304827 0.0000904476 0.0001004766 201983.255 197879.764 200248.657 0.86565 -4.09093 -0.04661 0.0002572722 -0.25161 14.004 0.001297 793.019 285.010 0.00007978171 0.00024359334 0.0000899818 0.0001007619 201796.900 197747.438 200064.174 0.93050 -4.39620 -0.04886 0.0002570917 -0.28917 15.008 0.001390 792.825 284.995 0.00007931104 0.00024413744 0.0000895060 0.0001010421 201623.351 197628.949 199892.990 0.99578 -4.70352 -0.05096 0.0002568961 -0.32973 16.002 0.001482 792.649 284.985 0.00007884581 0.00024466882 0.0000890305 0.0001013111 201466.334 197526.822 199738.773 1.06008 -5.00623 -0.05284 0.0002566896 -0.37239 17.006 0.001575 792.487 284.982 0.00007837598 0.00024519897 0.0000885452 0.0001015745 201322.427 197438.812 199598.163 1.12478 -5.31087 -0.05456 0.0002564677 -0.41807 18.000 0.001667 792.344 284.984 0.00007791173 0.00024571640 0.0000880607 0.0001018267 201194.718 197366.789 199474.175 1.18845 -5.61084 -0.05608 0.0002562354 -0.46578 19.004 0.001760 792.216 284.991 0.00007744304 0.00024623231 0.0000875665 0.0001020731 201080.426 197309.167 199364.106 1.25249 -5.91262 -0.05743 0.0002559876 -0.51653 20.009 0.001853 792.104 285.005 0.00007697502 0.00024674096 0.0000870681 0.0001023108 200981.017 197266.792 199269.380 1.31616 -6.21290 -0.05858 0.0002557268 -0.56982 21.002 0.001945 792.010 285.024 0.00007651276 0.00024723694 0.0000865710 0.0001025372 200897.319 197239.855 199190.767 1.37878 -6.50842 -0.05955 0.0002554562 -0.62500 22.007 0.002038 791.931 285.049 0.00007604630 0.00024773095 0.0000860646 0.0001027574 200827.511 197227.755 199126.554 1.44169 -6.80558 -0.06033 0.0002551699 -0.68327 23.000 0.002130 791.870 285.079 0.00007558572 0.00024821231 0.0000855599 0.0001029664 200773.097 197230.737 199078.122 1.50353 -7.09794 -0.06092 0.0002548743 -0.74336 24.005 0.002223 791.825 285.115 0.00007512108 0.00024869140 0.0000850461 0.0001031687 200732.896 197248.850 199044.420 1.56561 -7.39180 -0.06134 0.0002545628 -0.80657 25.009 0.002316 791.796 285.157 0.00007465747 0.00024916288 0.0000845288 0.0001033621 200707.586 197282.134 199026.058 1.62724 -7.68394 -0.06156 0.0002542389 -0.87223 26.003 0.002408 791.785 285.204 0.00007419993 0.00024962174 0.0000840139 0.0001035443 200697.205 197329.973 199022.992 1.68776 -7.97120 -0.06160 0.0002539063 -0.93958 27.007 0.002501 791.790 285.257 0.00007373857 0.00025007788 0.0000834902 0.0001037195 200701.536 197393.399 199035.162 1.74846 -8.25978 -0.06145 0.0002535578 -1.01009 28.001 0.002593 791.811 285.315 0.00007328339 0.00025052141 0.0000829692 0.0001038837 200720.496 197471.039 199062.313 1.80803 -8.54344 -0.06112 0.0002532010 -1.08220 29.005 0.002686 791.849 285.379 0.00007282457 0.00025096191 0.0000824398 0.0001040405 200754.508 197564.574 199105.046 1.86773 -8.82828 -0.06060 0.0002528283 -1.15749 30.010 0.002779 791.904 285.449 0.00007236712 0.00025139442 0.0000819077 0.0001041880 200803.460 197673.235 199163.159 1.92690 -9.11118 -0.05988 0.0002524437 -1.23516 31.003 0.002871 791.975 285.523 0.00007191602 0.00025181437 0.0000813788 0.0001043247 200866.600 197795.606 199235.794 1.98489 -9.38907 -0.05900 0.0002520516 -1.31431 32.008 0.002964 792.063 285.604 0.00007146153 0.00025223079 0.0000808418 0.0001044536 200945.319 197934.344 199324.544 2.04295 -9.66796 -0.05791 0.0002516435 -1.39667 33.001 0.003056 792.167 285.690 0.00007101350 0.00025263465 0.0000803085 0.0001045718 201037.942 198086.463 199427.518 2.09982 -9.94180 -0.05665 0.0002512283 -1.48043 34.006 0.003149 792.289 285.782 0.00007056225 0.00025303466 0.0000797674 0.0001046818 201146.503 198255.269 199546.972 2.15671 -10.21650 -0.05519 0.0002507973 -1.56741 35.010 0.003242 792.428 285.879 0.00007011274 0.00025342629 0.0000792245 0.0001047824 201270.099 198439.189 199681.892 2.21299 -10.48902 -0.05354 0.0002503549 -1.65669 36.004 0.003334 792.582 285.981 0.00006966984 0.00025380540 0.0000786857 0.0001048725 201407.184 198636.005 199830.600 2.26803 -10.75642 -0.05172 0.0002499062 -1.74725 37.008 0.003427 792.754 286.089 0.00006922400 0.00025418014 0.0000781396 0.0001049541 201560.764 198849.996 199996.353 2.32303 -11.02447 -0.04969 0.0002494416 -1.84105 38.002 0.003519 792.941 286.202 0.00006878488 0.00025454236 0.0000775980 0.0001050253 201727.565 199076.564 200175.613 2.37678 -11.28735 -0.04750 0.0002489713 -1.93606 39.006 0.003612 793.146 286.321 0.00006834301 0.00025489986 0.0000770493 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295.463 0.00010421970 0.00020436142 0.0001052168 0.0000754099 235610.426 229802.727 234552.232 4.83790 13.36002 3.55524 0.0002469747 1.90413 319.007 0.029538 827.758 295.100 0.00010385928 0.00020517632 0.0001051830 0.0000759611 234576.823 228764.017 233492.722 4.89476 13.05941 3.54228 0.0002474921 2.02260 320.000 0.029630 826.744 294.748 0.00010349803 0.00020598044 0.0001051401 0.0000765057 233569.629 227753.688 232460.300 4.95149 12.76019 3.52965 0.0002479938 2.13689 321.005 0.029723 825.730 294.399 0.00010312823 0.00020679109 0.0001050872 0.0000770553 232566.989 226749.781 231432.579 5.00932 12.45593 3.51707 0.0002484905 2.24950 322.009 0.029816 824.730 294.055 0.00010275389 0.00020759939 0.0001050246 0.0000776039 231579.972 225763.371 230420.915 5.06764 12.14996 3.50470 0.0002489765 2.35914 323.003 0.029908 823.753 293.722 0.00010237924 0.00020839655 0.0001049532 0.0000781455 230618.970 224804.777 229435.973 5.12579 11.84567 3.49265 0.0002494468 2.46469 324.007 0.030001 822.778 293.392 0.00010199624 0.00020919974 0.0001048716 0.0000786916 229663.121 223853.150 228456.378 5.18504 11.53652 3.48067 0.0002499112 2.56844 325.001 0.030093 821.827 293.072 0.00010161327 0.00020999158 0.0001047814 0.0000792304 228733.003 222928.941 227503.232 5.24409 11.22924 3.46901 0.0002503598 2.66815 326.005 0.030186 820.879 292.755 0.00010122210 0.00021078914 0.0001046807 0.0000797733 227808.415 222012.041 226555.841 5.30423 10.91723 3.45742 0.0002508020 2.76600 327.010 0.030279 819.944 292.444 0.00010082700 0.00021158367 0.0001045705 0.0000803144 226899.568 221112.566 225624.677 5.36480 10.60389 3.44603 0.0002512330 2.86087 328.003 0.030371 819.033 292.143 0.00010043238 0.00021236656 0.0001044523 0.0000808477 226015.993 220239.884 224719.512 5.42514 10.29269 3.43495 0.0002516480 2.95180 329.008 0.030464 818.125 291.845 0.00010002980 0.00021315471 0.0001043233 0.0000813846 225138.490 219374.995 223820.684 5.48654 9.97692 3.42396 0.0002520559 3.04077 330.001 0.030556 817.241 291.557 0.00009962800 0.00021393105 0.0001041865 0.0000819135 224285.936 218536.467 222947.534 5.54767 9.66346 3.41328 0.0002524480 3.12585 331.006 0.030649 816.361 291.272 0.00009921837 0.00021471234 0.0001040389 0.0000824456 223439.799 217706.037 222081.088 5.60986 9.34556 3.40268 0.0002528325 3.20891 332.010 0.030742 815.495 290.994 0.00009880537 0.00021549003 0.0001038820 0.0000829750 222609.431 216892.877 221230.929 5.67242 9.02669 3.39228 0.0002532050 3.28899 333.004 0.030834 814.652 290.725 0.00009839360 0.00021625568 0.0001037177 0.0000834960 221803.503 216105.414 220405.939 5.73468 8.71035 3.38218 0.0002535616 3.36530 334.008 0.030927 813.815 290.459 0.00009797421 0.00021702586 0.0001035424 0.0000840196 221004.490 215326.488 219588.180 5.79796 8.38975 3.37218 0.0002539100 3.43948 335.002 0.031019 813.000 290.202 0.00009755633 0.00021778388 0.0001033600 0.0000845345 220229.568 214572.809 218795.235 5.86090 8.07184 3.36248 0.0002542425 3.50996 336.006 0.031112 812.192 289.950 0.00009713097 0.00021854613 0.0001031666 0.0000850517 219461.878 213827.948 218009.858 5.92485 7.74977 3.35287 0.0002545663 3.57825 337.010 0.031205 811.397 289.703 0.00009670277 0.00021930425 0.0001029641 0.0000855654 218709.918 213100.143 217240.745 5.98911 7.42706 3.34346 0.0002548776 3.64360 338.004 0.031297 810.626 289.466 0.00009627647 0.00022005006 0.0001027550 0.0000860701 217981.506 212396.898 216495.894 6.05299 7.10724 3.33435 0.0002551731 3.70533 339.008 0.031390 809.861 289.232 0.00009584291 0.00022079967 0.0001025348 0.0000865765 217260.792 211702.878 215759.098 6.11785 6.78344 3.32534 0.0002554593 3.76481 340.002 0.031482 809.119 289.007 0.00009541151 0.00022153689 0.0001023082 0.0000870735 216563.256 211032.960 215046.185 6.18228 6.46267 3.31662 0.0002557297 3.82076 341.006 0.031575 808.384 288.786 0.00009497298 0.00022227763 0.0001020704 0.0000875719 215873.718 210372.530 214341.640 6.24768 6.13802 3.30800 0.0002559904 3.87439 342.011 0.031668 807.664 288.571 0.00009453211 0.00022301379 0.0001018240 0.0000880660 215199.822 209728.908 213653.279 6.31333 5.81304 3.29958 0.0002562380 3.92510 343.004 0.031760 806.967 288.365 0.00009409375 0.00022373742 0.0001015717 0.0000885505 214548.542 209108.695 212988.222 6.37850 5.49127 3.29144 0.0002564702 3.97238 344.009 0.031853 806.277 288.163 0.00009364848 0.00022446419 0.0001013082 0.0000890358 213905.698 208498.357 212331.989 6.44461 5.16579 3.28341 0.0002566919 4.01728 345.002 0.031945 805.609 287.969 0.00009320597 0.00022517837 0.0001010391 0.0000895112 213285.092 207910.966 211698.670 6.51020 4.84365 3.27567 0.0002568983 4.05883 346.007 0.032038 804.950 287.780 0.00009275668 0.00022589541 0.0001007588 0.0000899869 212673.208 207333.702 211074.471 6.57670 4.51789 3.26803 0.0002570938 4.09794 347.000 0.032130 804.313 287.598 0.00009231036 0.00022659982 0.0001004734 0.0000904527 212083.180 206778.927 210472.791 6.64267 4.19559 3.26067 0.0002572741 4.13378 348.005 0.032223 803.684 287.421 0.00009185741 0.00022730683 0.0001001767 0.0000909184 211502.157 206234.528 209880.524 6.70951 3.86979 3.25343 0.0002574431 4.16714 349.009 0.032316 803.071 287.250 0.00009140275 0.00022800868 0.0000998718 0.0000913788 210936.608 205706.572 209304.267 6.77650 3.54404 3.24638 0.0002575987 4.19762 350.003 0.032408 802.480 287.087 0.00009095139 0.00022869783 0.0000995624 0.0000918290 210392.341 205200.419 208749.934 6.84291 3.22189 3.23959 0.0002577394 4.22495 351.007 0.032501 801.897 286.929 0.00009049360 0.00022938919 0.0000992417 0.0000922785 209857.498 204705.016 208205.444 6.91015 2.89641 3.23293 0.0002578682 4.24973 352.001 0.032593 801.337 286.778 0.00009003930 0.00023006781 0.0000989167 0.0000927176 209343.554 204230.965 207682.479 6.97678 2.57463 3.22654 0.0002579823 4.27142 353.005 0.032686 800.787 286.632 0.00008957871 0.00023074839 0.0000985805 0.0000931556 208839.309 203767.909 207169.641 7.04421 2.24962 3.22026 0.0002580842 4.29053 354.010 0.032779 800.252 286.492 0.00008911685 0.00023142343 0.0000982367 0.0000935877 208350.406 203321.039 206672.672 7.11172 1.92492 3.21418 0.0002581725 4.30680 355.003 0.032871 799.738 286.359 0.00008865877 0.00023208571 0.0000978892 0.0000940092 207881.828 202894.850 206196.631 7.17856 1.60407 3.20836 0.0002582464 4.32011 356.008 0.032964 799.235 286.231 0.00008819460 0.00023274955 0.0000975306 0.0000944290 207423.364 202480.029 205731.142 7.24617 1.28015 3.20267 0.0002583076 4.33076 357.001 0.033056 798.753 286.111 0.00008773441 0.00023340061 0.0000971686 0.0000948381 206984.846 202085.448 205286.185 7.31307 0.96016 3.19722 0.0002583547 4.33854 358.006 0.033149 798.282 285.995 0.00008726827 0.00023405297 0.0000967955 0.0000952452 206556.716 201702.483 204852.061 7.38071 0.63720 3.19191 0.0002583888 4.34362 359.010 0.033242 797.827 285.885 0.00008680126 0.00023469946 0.0000964154 0.0000956457 206143.796 201335.462 204433.662 7.44835 0.31480 3.18679 0.0002584091 4.34591 360.004 0.033334 797.392 285.783 0.00008633849 0.00023533315 0.0000960324 0.0000960353 205750.258 200988.030 204035.208 7.51523 -0.00354 3.18192 0.0002584157 4.34544 Engine speed (Hz) = 30.0000000000 Output power (W) = 130.3626728093 Heat into heater (W) = 225.4570085672 Heat to regenerator (W) = -0.1062814746 Heat removal from cooler (W) = 95.4575782370 Approximate Pumping loss (W) = -20.5144606697 Thermal efficiency (%) = 57.8215215565 The average engine pressure (Pa) = 272275.4438833009 The exp space work per cycle (J) = 7.5163839786 The comp space work per cycle (J) = -3.1709615516 The net work per cycle (J) = 4.3454224270 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.8709687573 The expansion work for Vmin-to-Vmax (J) = 26.2163911843 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000001 797.809 285.862 0.00008639824 0.00023521143 0.0000960315 0.0000960363 206002.318 200937.655 204179.672 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.011 0.000091 797.385 285.765 0.00008592924 0.00023584710 0.0000956375 0.0000964232 205618.640 200603.875 203791.126 0.06747 -0.32155 -0.00475 0.0002584088 -0.00335 2.004 0.000180 796.982 285.675 0.00008546481 0.00023646975 0.0000952414 0.0000967991 205254.066 200289.360 203422.270 0.13414 -0.63885 -0.00927 0.0002583885 -0.00936 3.008 0.000270 796.590 285.589 0.00008499458 0.00023709333 0.0000948342 0.0000971721 204900.381 199987.000 203064.790 0.20148 -0.95898 -0.01364 0.0002583544 -0.01818 4.001 0.000359 796.219 285.511 0.00008452909 0.00023770389 0.0000944252 0.0000975339 204565.423 199703.472 202726.606 0.26800 -1.27480 -0.01778 0.0002583071 -0.02958 5.006 0.000449 795.859 285.438 0.00008405794 0.00023831510 0.0000940053 0.0000978925 204241.643 199432.365 202400.095 0.33516 -1.59333 -0.02177 0.0002582458 -0.04382 6.010 0.000539 795.516 285.371 0.00008358643 0.00023892000 0.0000935792 0.0000982436 203932.869 199176.913 202089.119 0.40221 -1.91100 -0.02557 0.0002581709 -0.06077 7.003 0.000628 795.193 285.310 0.00008311990 0.00023951190 0.0000931518 0.0000985835 203642.264 198939.655 201796.854 0.46838 -2.22423 -0.02915 0.0002580834 -0.08018 8.008 0.000718 794.882 285.254 0.00008264792 0.00024010405 0.0000927137 0.0000989196 203363.278 198715.224 201516.713 0.53514 -2.54003 -0.03258 0.0002579814 -0.10248 9.001 0.000807 794.591 285.205 0.00008218106 0.00024068321 0.0000922747 0.0000992444 203102.094 198508.573 201254.900 0.60099 -2.85133 -0.03578 0.0002578671 -0.12716 10.005 0.000897 794.313 285.162 0.00008170890 0.00024126235 0.0000918252 0.0000995650 202852.828 198315.023 201005.513 0.66740 -3.16508 -0.03883 0.0002577382 -0.15476 11.010 0.000987 794.051 285.124 0.00008123676 0.00024183484 0.0000913700 0.0000998777 202618.482 198136.950 200771.564 0.73361 -3.47773 -0.04169 0.0002575958 -0.18502 12.003 0.001076 793.808 285.092 0.00008076996 0.00024239438 0.0000909147 0.0001001791 202401.398 197976.044 200555.378 0.79887 -3.78578 -0.04434 0.0002574418 -0.21753 13.008 0.001166 793.579 285.066 0.00008029808 0.00024295347 0.0000904489 0.0001004757 202196.686 197828.660 200352.082 0.86463 -4.09611 -0.04682 0.0002572727 -0.25301 14.001 0.001255 793.369 285.046 0.00007983167 0.00024349962 0.0000899833 0.0001007610 202008.884 197698.045 200166.182 0.92941 -4.40179 -0.04910 0.0002570923 -0.29066 15.005 0.001345 793.173 285.031 0.00007936033 0.00024404504 0.0000895075 0.0001010412 201833.762 197581.236 199993.485 0.99465 -4.70963 -0.05121 0.0002568968 -0.33132 16.010 0.001435 792.993 285.022 0.00007888937 0.00024458349 0.0000890269 0.0001013131 201673.504 197479.761 199836.158 1.05960 -5.01616 -0.05313 0.0002566880 -0.37457 17.003 0.001524 792.832 285.019 0.00007842409 0.00024510903 0.0000885470 0.0001015736 201529.637 197394.468 199695.681 1.12353 -5.31793 -0.05485 0.0002564686 -0.41986 18.007 0.001614 792.685 285.022 0.00007795410 0.00024563341 0.0000880571 0.0001018285 201398.923 197323.419 199568.891 1.18786 -5.62170 -0.05640 0.0002562337 -0.46820 19.000 0.001703 792.557 285.031 0.00007748991 0.00024614490 0.0000875684 0.0001020721 201284.262 197268.170 199458.600 1.25114 -5.92067 -0.05775 0.0002559886 -0.51850 20.005 0.001793 792.443 285.045 0.00007702118 0.00024665494 0.0000870700 0.0001023098 201183.075 197227.461 199362.323 1.31478 -6.22150 -0.05893 0.0002557279 -0.57188 21.009 0.001883 792.346 285.065 0.00007655317 0.00024715766 0.0000865675 0.0001025388 201096.732 197201.978 199281.381 1.37805 -6.52080 -0.05992 0.0002554543 -0.62778 22.002 0.001972 792.267 285.090 0.00007609117 0.00024764753 0.0000860667 0.0001027564 201025.946 197191.734 199216.419 1.44024 -6.81521 -0.06072 0.0002551712 -0.68551 23.007 0.002062 792.203 285.121 0.00007562484 0.00024813549 0.0000855566 0.0001029677 200969.130 197196.484 199165.975 1.50271 -7.11131 -0.06133 0.0002548723 -0.74637 24.000 0.002151 792.156 285.158 0.00007516463 0.00024861063 0.0000850485 0.0001031678 200927.548 197216.108 199131.172 1.56408 -7.40248 -0.06176 0.0002545643 -0.80898 25.005 0.002241 792.125 285.200 0.00007470027 0.00024908355 0.0000845313 0.0001033612 200900.272 197251.034 199111.232 1.62569 -7.69520 -0.06200 0.0002542405 -0.87473 26.009 0.002331 792.111 285.248 0.00007423699 0.00024954880 0.0000840107 0.0001035454 200887.860 197301.115 199106.635 1.68685 -7.98617 -0.06206 0.0002539042 -0.94293 27.002 0.002420 792.114 285.302 0.00007378000 0.00025000126 0.0000834929 0.0001037187 200890.211 197365.531 199117.186 1.74686 -8.27212 -0.06193 0.0002535595 -1.01275 28.007 0.002510 792.133 285.361 0.00007331911 0.00025045103 0.0000829662 0.0001038847 200907.389 197445.721 199143.129 1.80705 -8.55944 -0.06161 0.0002531989 -1.08575 29.011 0.002600 792.169 285.426 0.00007285952 0.00025089289 0.0000824367 0.0001040414 200939.463 197541.039 199184.442 1.86673 -8.84487 -0.06111 0.0002528262 -1.16115 30.004 0.002689 792.221 285.496 0.00007240639 0.00025132201 0.0000819105 0.0001041873 200985.842 197650.167 199240.422 1.92523 -9.12521 -0.06042 0.0002524458 -1.23806 31.009 0.002779 792.290 285.572 0.00007194961 0.00025174794 0.0000813759 0.0001043255 201047.586 197775.553 199312.342 1.98385 -9.40672 -0.05954 0.0002520494 -1.31817 32.002 0.002868 792.375 285.652 0.00007149939 0.00025216115 0.0000808449 0.0001044529 201123.341 197914.406 199398.619 2.04126 -9.68310 -0.05849 0.0002516458 -1.39971 33.006 0.002958 792.478 285.739 0.00007104571 0.00025257083 0.0000803058 0.0001045724 201214.827 198069.845 199501.209 2.09874 -9.96051 -0.05723 0.0002512262 -1.48448 34.011 0.003048 792.598 285.832 0.00007059368 0.00025297222 0.0000797647 0.0001046824 201321.300 198240.390 199619.248 2.15562 -10.23580 -0.05579 0.0002507951 -1.57157 35.004 0.003137 792.732 285.929 0.00007014839 0.00025336092 0.0000792278 0.0001047818 201441.350 198423.897 199751.190 2.21127 -10.50588 -0.05417 0.0002503576 -1.65994 36.008 0.003227 792.885 286.033 0.00006969989 0.00025374557 0.0000786831 0.0001048729 201577.701 198624.489 199900.023 2.26691 -10.77679 -0.05235 0.0002499041 -1.75158 37.002 0.003316 793.053 286.141 0.00006925822 0.00025411756 0.0000781431 0.0001049536 201727.351 198837.710 200062.464 2.32130 -11.04245 -0.05037 0.0002494447 -1.84443 38.006 0.003406 793.239 286.255 0.00006881354 0.00025448514 0.0000775956 0.0001050256 201893.691 199068.354 200242.192 2.37563 -11.30879 -0.04817 0.0002489692 -1.94056 39.010 0.003496 793.442 286.375 0.00006837090 0.00025484401 0.0000770470 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293.407 0.00010205498 0.00020907288 0.0001048719 0.0000786895 229892.621 223734.553 228615.183 5.17481 11.54044 3.49826 0.0002499094 2.53976 325.008 0.029123 822.169 293.083 0.00010166826 0.00020987310 0.0001047807 0.0000792341 228953.491 222801.171 227651.225 5.23434 11.23005 3.48647 0.0002503628 2.64046 326.001 0.029212 821.233 292.770 0.00010128182 0.00021066163 0.0001046812 0.0000797710 228040.201 221895.361 226713.878 5.29364 10.92171 3.47500 0.0002508002 2.73713 327.005 0.029302 820.300 292.459 0.00010088710 0.00021145604 0.0001045710 0.0000803121 227132.242 220996.745 225782.101 5.35405 10.60856 3.46360 0.0002512312 2.83193 328.010 0.029392 819.380 292.155 0.00010048853 0.00021224734 0.0001044514 0.0000808512 226239.976 220115.572 224866.538 5.41487 10.29415 3.45240 0.0002516507 2.92375 329.003 0.029481 818.484 291.860 0.00010009072 0.00021302668 0.0001043239 0.0000813821 225373.065 219261.312 223977.109 5.47543 9.98205 3.44152 0.0002520541 3.01164 330.007 0.029571 817.591 291.569 0.00009968485 0.00021381144 0.0001041856 0.0000819167 224512.032 218414.735 223093.838 5.53707 9.66531 3.43072 0.0002524504 3.09755 331.001 0.029660 816.722 291.288 0.00009928003 0.00021458408 0.0001040396 0.0000824429 223676.015 217594.620 222236.362 5.59840 9.35106 3.42023 0.0002528306 3.17958 332.005 0.029750 815.858 291.009 0.00009886728 0.00021536185 0.0001038828 0.0000829724 222846.226 216782.499 221385.418 5.66081 9.03229 3.40982 0.0002532032 3.25959 333.009 0.029840 815.007 290.738 0.00009845124 0.00021613594 0.0001037167 0.0000834990 222032.143 215987.643 220550.733 5.72358 8.71259 3.39961 0.0002535637 3.33662 334.003 0.029929 814.180 290.475 0.00009803669 0.00021689770 0.0001035434 0.0000840168 221242.545 215218.555 219741.310 5.78601 8.39561 3.38971 0.0002539082 3.40989 335.007 0.030019 813.358 290.216 0.00009761442 0.00021766414 0.0001033590 0.0000845373 220459.680 214457.908 218938.955 5.84947 8.07429 3.37989 0.0002542443 3.48103 336.000 0.030108 812.559 289.966 0.00009719392 0.00021841814 0.0001031677 0.0000850488 219700.936 213722.560 218161.492 5.91256 7.75582 3.37038 0.0002545645 3.54847 337.005 0.030198 811.765 289.720 0.00009676583 0.00021917655 0.0001029653 0.0000855625 218949.251 212995.939 217391.442 5.97668 7.43311 3.36096 0.0002548758 3.61373 338.009 0.030288 810.987 289.481 0.00009633498 0.00021993076 0.0001027539 0.0000860726 218213.223 212286.356 216637.617 6.04110 7.10981 3.35174 0.0002551746 3.67603 339.002 0.030377 810.231 289.250 0.00009590629 0.00022067238 0.0001025362 0.0000865734 217500.754 211601.360 215908.111 6.10509 6.78958 3.34281 0.0002554576 3.73475 340.007 0.030467 809.482 289.023 0.00009547022 0.00022141798 0.0001023071 0.0000870758 216795.818 210925.510 215186.516 6.17008 6.46528 3.33399 0.0002557310 3.79120 341.011 0.030557 808.747 288.802 0.00009503169 0.00022215911 0.0001020693 0.0000875742 216106.488 210266.545 214481.099 6.23534 6.14056 3.32536 0.0002559915 3.84471 342.004 0.030646 808.035 288.590 0.00009459568 0.00022288752 0.0001018256 0.0000880629 215440.144 209631.454 213799.413 6.30012 5.81910 3.31702 0.0002562365 3.89475 343.009 0.030736 807.331 288.382 0.00009415252 0.00022361951 0.0001015706 0.0000885526 214781.791 209005.913 213126.116 6.36587 5.49374 3.30878 0.0002564712 3.94244 344.002 0.030825 806.649 288.183 0.00009371212 0.00022433871 0.0001013100 0.0000890325 214146.039 208403.771 212476.151 6.43110 5.17175 3.30083 0.0002566905 3.98674 345.006 0.030915 805.975 287.987 0.00009326470 0.00022506120 0.0001010380 0.0000895131 213518.577 207811.444 211834.886 6.49728 4.84597 3.29299 0.0002568991 4.02863 346.011 0.031005 805.315 287.798 0.00009281528 0.00022577881 0.0001007577 0.0000899888 212906.611 207235.736 211209.692 6.56365 4.52007 3.28534 0.0002570945 4.06762 347.004 0.031094 804.679 287.617 0.00009236897 0.00022648355 0.0001004723 0.0000904544 212316.660 206682.716 210607.222 6.62947 4.19771 3.27797 0.0002572747 4.10333 348.008 0.031184 804.050 287.441 0.00009191584 0.00022719119 0.0001001756 0.0000909200 211735.441 206139.902 210013.911 6.69619 3.87172 3.27071 0.0002574436 4.13657 349.002 0.031273 803.444 287.272 0.00009146604 0.00022788592 0.0000998742 0.0000913754 211175.846 205619.305 209442.919 6.76232 3.54939 3.26372 0.0002575975 4.16660 350.006 0.031363 802.846 287.108 0.00009100956 0.00022858327 0.0000995614 0.0000918304 210625.273 205109.174 208881.387 6.82932 3.22353 3.25685 0.0002577398 4.19412 351.010 0.031453 802.264 286.950 0.00009055152 0.00022927535 0.0000992406 0.0000922799 210090.069 204615.395 208335.791 6.89645 2.89781 3.25018 0.0002578686 4.21877 352.004 0.031542 801.704 286.800 0.00009009712 0.00022995448 0.0000989158 0.0000927188 209575.900 204143.133 207811.901 6.96294 2.57591 3.24377 0.0002579826 4.24034 353.008 0.031632 801.153 286.654 0.00008963624 0.00023063584 0.0000985796 0.0000931569 209071.185 203681.723 207297.916 7.03027 2.25063 3.23748 0.0002580845 4.25932 354.001 0.031721 800.624 286.516 0.00008917920 0.00023130422 0.0000982396 0.0000935842 208587.115 203241.368 206805.229 7.09692 1.92926 3.23146 0.0002581718 4.27530 355.006 0.031811 800.105 286.383 0.00008871582 0.00023197457 0.0000978883 0.0000940103 208112.785 202812.123 206322.742 7.16438 1.60463 3.22555 0.0002582466 4.28865 356.010 0.031901 799.601 286.255 0.00008825130 0.00023263928 0.0000975297 0.0000944301 207653.692 202398.975 205856.049 7.23188 1.28040 3.21985 0.0002583078 4.29918 357.003 0.031990 799.119 286.136 0.00008779091 0.00023329099 0.0000971678 0.0000948390 207214.660 202006.199 205410.046 7.29867 0.96021 3.21439 0.0002583548 4.30683 358.008 0.032080 798.647 286.020 0.00008732437 0.00023394427 0.0000967947 0.0000952461 206785.798 201624.921 204974.682 7.36621 0.63691 3.20906 0.0002583888 4.31179 359.001 0.032169 798.196 285.913 0.00008686214 0.00023458455 0.0000964188 0.0000956422 206376.610 201263.568 204559.605 7.43300 0.31775 3.20399 0.0002584090 4.31395 360.005 0.032259 797.756 285.810 0.00008639391 0.00023522614 0.0000960317 0.0000960360 205977.878 200913.973 204155.460 7.50053 -0.00442 3.19904 0.0002584157 4.31337 Engine speed (Hz) = 31.0000000000 Output power (W) = 133.7137896968 Heat into heater (W) = 232.5163013211 Heat to regenerator (W) = -0.1368919180 Heat removal from cooler (W) = 99.1703095812 Approximate Pumping loss (W) = -22.4774345152 Thermal efficiency (%) = 57.5072753769 The average engine pressure (Pa) = 272317.2772602078 The exp space work per cycle (J) = 7.5012612526 The comp space work per cycle (J) = -3.1879131979 The net work per cycle (J) = 4.3133480547 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.8894467652 The expansion work for Vmin-to-Vmax (J) = 26.2027948199 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 798.187 285.889 0.00008645891 0.00023509639 0.0000960338 0.0000960339 206239.531 200863.584 204306.437 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000087 797.763 285.793 0.00008599047 0.00023573175 0.0000956408 0.0000964201 205855.668 200532.113 203917.278 0.06723 -0.32124 -0.00476 0.0002584089 -0.00344 2.004 0.000174 797.355 285.703 0.00008552136 0.00023636113 0.0000952411 0.0000967993 205486.783 200216.401 203543.671 0.13441 -0.64181 -0.00933 0.0002583885 -0.00962 3.007 0.000261 796.964 285.618 0.00008505166 0.00023698443 0.0000948348 0.0000971716 205132.852 199916.405 203185.590 0.20153 -0.96166 -0.01371 0.0002583544 -0.01854 4.009 0.000348 796.588 285.540 0.00008458143 0.00023760161 0.0000944221 0.0000975366 204793.856 199632.082 202843.011 0.26857 -1.28074 -0.01790 0.0002583067 -0.03017 5.011 0.000435 796.228 285.467 0.00008411077 0.00023821259 0.0000940031 0.0000978944 204469.772 199363.391 202515.911 0.33551 -1.59902 -0.02190 0.0002582455 -0.04451 6.002 0.000521 795.889 285.402 0.00008364515 0.00023881039 0.0000935827 0.0000982408 204164.052 199113.114 202207.762 0.40156 -1.91280 -0.02567 0.0002581715 -0.06135 7.004 0.000608 795.561 285.341 0.00008317383 0.00023940885 0.0000931515 0.0000985838 203869.566 198875.391 201911.377 0.46826 -2.22932 -0.02930 0.0002580833 -0.08104 8.006 0.000695 795.250 285.286 0.00008270229 0.00024000091 0.0000927143 0.0000989192 203589.938 198653.185 201630.406 0.53481 -2.54490 -0.03274 0.0002579815 -0.10341 9.009 0.000782 794.955 285.238 0.00008223061 0.00024058651 0.0000922714 0.0000992468 203325.151 198446.460 201364.831 0.60119 -2.85949 -0.03598 0.0002578662 -0.12845 10.011 0.000869 794.676 285.195 0.00008175886 0.00024116558 0.0000918227 0.0000995667 203075.188 198255.182 201114.633 0.66739 -3.17304 -0.03905 0.0002577375 -0.15613 11.002 0.000955 794.417 285.158 0.00008129254 0.00024173152 0.0000913738 0.0000998752 202842.656 198081.250 200882.408 0.73264 -3.48192 -0.04189 0.0002575970 -0.18608 12.004 0.001042 794.171 285.127 0.00008082087 0.00024229742 0.0000909143 0.0001001793 202622.132 197920.590 200662.738 0.79843 -3.79327 -0.04457 0.0002574416 -0.21899 13.006 0.001129 793.941 285.102 0.00008034935 0.00024285659 0.0000904496 0.0001004753 202416.395 197775.280 200458.398 0.86399 -4.10345 -0.04707 0.0002572729 -0.25452 14.008 0.001216 793.727 285.082 0.00007987805 0.00024340897 0.0000899797 0.0001007631 202225.433 197645.294 200269.375 0.92930 -4.41241 -0.04939 0.0002570909 -0.29264 15.011 0.001303 793.530 285.068 0.00007940705 0.00024395449 0.0000895049 0.0001010427 202049.237 197530.601 200095.657 0.99435 -4.72011 -0.05151 0.0002568957 -0.33334 16.001 0.001389 793.351 285.060 0.00007894183 0.00024448693 0.0000890309 0.0001013109 201889.571 197432.234 199938.967 1.05837 -5.02299 -0.05343 0.0002566897 -0.37611 17.004 0.001476 793.186 285.058 0.00007847163 0.00024501861 0.0000885466 0.0001015738 201742.715 197347.879 199795.652 1.12284 -5.32805 -0.05518 0.0002564684 -0.42191 18.006 0.001563 793.038 285.061 0.00007800194 0.00024554322 0.0000880578 0.0001018282 201610.607 197278.745 199667.616 1.18699 -5.63172 -0.05675 0.0002562340 -0.47026 19.008 0.001650 792.907 285.071 0.00007753283 0.00024606070 0.0000875647 0.0001020740 201493.242 197224.810 199554.851 1.25080 -5.93395 -0.05813 0.0002559867 -0.52114 20.010 0.001737 792.791 285.085 0.00007706437 0.00024657097 0.0000870673 0.0001023111 201390.619 197186.054 199457.354 1.31427 -6.23469 -0.05932 0.0002557264 -0.57454 21.001 0.001823 792.694 285.106 0.00007660201 0.00024706824 0.0000865717 0.0001025369 201303.663 197162.642 199375.980 1.37664 -6.53048 -0.06031 0.0002554566 -0.62978 22.003 0.001910 792.611 285.132 0.00007613507 0.00024756398 0.0000860664 0.0001027566 201230.354 197154.013 199308.836 1.43936 -6.82814 -0.06114 0.0002551710 -0.68814 23.005 0.001997 792.546 285.164 0.00007566899 0.00024805232 0.0000855573 0.0001029674 201171.790 197160.510 199256.956 1.50167 -7.12419 -0.06177 0.0002548727 -0.74898 24.008 0.002084 792.496 285.201 0.00007520385 0.00024853316 0.0000850446 0.0001031693 201127.976 197182.118 199220.342 1.56357 -7.41858 -0.06222 0.0002545619 -0.81227 25.010 0.002171 792.464 285.245 0.00007473972 0.00024900645 0.0000845285 0.0001033622 201098.918 197218.823 199198.999 1.62502 -7.71126 -0.06248 0.0002542387 -0.87801 26.001 0.002257 792.448 285.293 0.00007428198 0.00024946680 0.0000840150 0.0001035440 201084.705 197269.934 199192.915 1.68532 -7.99885 -0.06255 0.0002539070 -0.94538 27.003 0.002344 792.448 285.347 0.00007382007 0.00024992483 0.0000834925 0.0001037188 201085.015 197336.627 199201.955 1.74586 -8.28800 -0.06244 0.0002535593 -1.01593 28.005 0.002431 792.465 285.407 0.00007335938 0.00025037509 0.0000829670 0.0001038844 201100.111 197418.386 199226.288 1.80591 -8.57531 -0.06215 0.0002531994 -1.08888 29.007 0.002518 792.498 285.473 0.00007289998 0.00025081748 0.0000824386 0.0001040409 201130.006 197515.203 199265.925 1.86544 -8.86073 -0.06166 0.0002528275 -1.16422 30.010 0.002605 792.549 285.544 0.00007244195 0.00025125194 0.0000819077 0.0001041880 201174.715 197627.070 199320.879 1.92446 -9.14422 -0.06099 0.0002524437 -1.24192 31.000 0.002691 792.615 285.620 0.00007199059 0.00025167353 0.0000813803 0.0001043244 201233.487 197752.438 199390.269 1.98227 -9.42250 -0.06014 0.0002520527 -1.32105 32.003 0.002778 792.698 285.702 0.00007153549 0.00025209197 0.0000808445 0.0001044530 201307.706 197894.218 199475.727 2.04019 -9.70201 -0.05909 0.0002516455 -1.40342 33.005 0.002865 792.798 285.789 0.00007108197 0.00025250224 0.0000803066 0.0001045722 201396.796 198051.036 199576.550 2.09754 -9.97944 -0.05786 0.0002512268 -1.48810 34.007 0.002952 792.914 285.883 0.00007063011 0.00025290426 0.0000797666 0.0001046820 201500.781 198222.889 199692.761 2.15429 -10.25475 -0.05644 0.0002507967 -1.57509 35.009 0.003039 793.048 285.981 0.00007017997 0.00025329793 0.0000792249 0.0001047823 201619.683 198409.776 199824.382 2.21044 -10.52789 -0.05483 0.0002503552 -1.66437 36.000 0.003125 793.196 286.084 0.00006973678 0.00025367881 0.0000786876 0.0001048722 201751.908 198609.292 199969.659 2.26532 -10.79572 -0.05305 0.0002499079 -1.75486 37.002 0.003212 793.362 286.194 0.00006929030 0.00025405565 0.0000781427 0.0001049536 201900.558 198826.076 200131.996 2.32020 -11.06441 -0.05107 0.0002494443 -1.84863 38.004 0.003299 793.545 286.309 0.00006884577 0.00025442391 0.0000775964 0.0001050255 202064.212 199057.897 200309.822 2.37442 -11.33079 -0.04889 0.0002489699 -1.94465 39.007 0.003386 793.745 286.429 0.00006840326 0.00025478348 0.0000770489 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0.00009725434 0.00021829414 0.0001031670 0.0000850506 219938.863 213607.362 218309.709 5.90086 7.75717 3.38817 0.0002545656 3.51850 337.006 0.029254 812.137 289.736 0.00009682728 0.00021905115 0.0001029650 0.0000855632 219189.246 212883.633 217540.509 5.96468 7.43517 3.37876 0.0002548763 3.58350 338.008 0.029341 811.361 289.497 0.00009639745 0.00021980402 0.0001027541 0.0000860723 218455.159 212176.896 216787.438 6.02881 7.11256 3.36955 0.0002551744 3.64557 339.011 0.029428 810.599 289.264 0.00009596493 0.00022055267 0.0001025343 0.0000865775 217736.587 211487.100 216050.483 6.09324 6.78940 3.36054 0.0002554599 3.70470 340.001 0.029514 809.861 289.041 0.00009553483 0.00022128846 0.0001023084 0.0000870732 217041.507 210821.832 215337.823 6.15720 6.46947 3.35182 0.0002557295 3.76027 341.004 0.029601 809.128 288.821 0.00009509727 0.00022202842 0.0001020711 0.0000875705 216353.736 210165.568 214632.869 6.22216 6.14540 3.34320 0.0002559896 3.81358 342.006 0.029688 808.411 288.608 0.00009465731 0.00022276388 0.0001018252 0.0000880636 215681.426 209526.089 213943.981 6.28739 5.82095 3.33477 0.0002562368 3.86397 343.008 0.029775 807.708 288.400 0.00009421505 0.00022349476 0.0001015708 0.0000885523 215024.557 208903.340 213271.139 6.35285 5.49619 3.32654 0.0002564711 3.91144 344.010 0.029862 807.021 288.200 0.00009377060 0.00022422096 0.0001013078 0.0000890365 214383.107 208297.267 212614.322 6.41854 5.17118 3.31850 0.0002566922 3.95601 345.001 0.029948 806.356 288.007 0.00009332918 0.00022493415 0.0001010395 0.0000895105 213764.161 207714.498 211980.782 6.48368 4.84970 3.31075 0.0002568980 3.99722 346.003 0.030035 805.698 287.819 0.00009288062 0.00022565081 0.0001007598 0.0000899852 213153.304 207141.425 211355.761 6.54977 4.52435 3.30311 0.0002570931 4.03603 347.005 0.030122 805.056 287.637 0.00009243013 0.00022636256 0.0001004719 0.0000904550 212557.796 206584.866 210746.694 6.61605 4.19891 3.29566 0.0002572750 4.07196 348.008 0.030209 804.429 287.461 0.00009197781 0.00022706932 0.0001001758 0.0000909197 211977.613 206044.766 210153.555 6.68250 3.87344 3.28840 0.0002574435 4.10501 349.010 0.030296 803.818 287.292 0.00009152374 0.00022777100 0.0000998716 0.0000913791 211412.729 205521.072 209576.319 6.74910 3.54799 3.28134 0.0002575988 4.13519 350.001 0.030382 803.228 287.130 0.00009107326 0.00022845955 0.0000995631 0.0000918280 210869.351 205019.468 209021.320 6.81507 3.22636 3.27455 0.0002577391 4.16221 351.003 0.030469 802.647 286.973 0.00009061597 0.00022915091 0.0000992431 0.0000922766 210334.815 204528.236 208475.625 6.88194 2.90111 3.26787 0.0002578676 4.18671 352.005 0.030556 802.082 286.822 0.00009015720 0.00022983698 0.0000989153 0.0000927195 209815.503 204053.250 207945.751 6.94891 2.57604 3.26139 0.0002579828 4.20837 353.007 0.030643 801.532 286.677 0.00008969703 0.00023051767 0.0000985798 0.0000931566 209311.388 203594.456 207431.669 7.01597 2.25120 3.25510 0.0002580844 4.22719 354.010 0.030730 800.998 286.539 0.00008923554 0.00023119292 0.0000982367 0.0000935877 208822.444 203151.803 206933.353 7.08312 1.92664 3.24901 0.0002581725 4.24318 355.000 0.030816 800.485 286.408 0.00008877814 0.00023185498 0.0000978903 0.0000940080 208354.006 202730.052 206456.232 7.14955 1.60614 3.24317 0.0002582463 4.25623 356.003 0.030903 799.982 286.281 0.00008831428 0.00023251919 0.0000975324 0.0000944270 207895.154 202319.345 205989.182 7.21680 1.28230 3.23746 0.0002583074 4.26664 357.005 0.030990 799.495 286.161 0.00008784935 0.00023317774 0.0000971673 0.0000948396 207451.397 201924.628 205537.814 7.28409 0.95888 3.23193 0.0002583549 4.27425 358.007 0.031077 799.024 286.046 0.00008738342 0.00023383056 0.0000967950 0.0000952458 207022.711 201545.852 205102.100 7.35139 0.63595 3.22660 0.0002583888 4.27907 359.009 0.031164 798.569 285.938 0.00008691659 0.00023447760 0.0000964156 0.0000956454 206609.070 201182.971 204682.014 7.41869 0.31354 3.22147 0.0002584091 4.28112 360.000 0.031250 798.134 285.837 0.00008645431 0.00023511143 0.0000960338 0.0000960339 206214.947 200839.835 204282.089 7.48520 -0.00460 3.21657 0.0002584157 4.28043 Engine speed (Hz) = 32.0000000000 Output power (W) = 136.9729057556 Heat into heater (W) = 239.5262975315 Heat to regenerator (W) = -0.1471101159 Heat removal from cooler (W) = 102.9303375368 Approximate Pumping loss (W) = -24.5558268966 Thermal efficiency (%) = 57.1849133758 The average engine pressure (Pa) = 272358.9325102410 The exp space work per cycle (J) = 7.4858358725 The comp space work per cycle (J) = -3.2054325676 The net work per cycle (J) = 4.2804033049 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.9083557100 The expansion work for Vmin-to-Vmax (J) = 26.1887590149 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.009 0.000001 798.568 285.915 0.00008651395 0.00023498809 0.0000960302 0.0000960375 206477.327 200781.733 204430.593 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.007 0.000085 798.146 285.820 0.00008604707 0.00023562171 0.0000956388 0.0000964220 206094.337 200453.529 204041.870 0.06685 -0.32023 -0.00476 0.0002584089 -0.00357 2.005 0.000169 797.739 285.731 0.00008557951 0.00023624941 0.0000952408 0.0000967996 205726.144 200140.957 203668.550 0.13365 -0.63981 -0.00932 0.0002583885 -0.00985 3.003 0.000253 797.348 285.647 0.00008511134 0.00023687112 0.0000948363 0.0000971702 205372.726 199843.974 203310.609 0.20039 -0.95868 -0.01370 0.0002583546 -0.01885 4.001 0.000337 796.973 285.570 0.00008464264 0.00023748678 0.0000944254 0.0000975338 205034.065 199562.537 202968.023 0.26705 -1.27682 -0.01789 0.0002583072 -0.03054 5.011 0.000422 796.610 285.498 0.00008416789 0.00023810354 0.0000940032 0.0000978943 204706.371 199293.532 202636.965 0.33441 -1.59793 -0.02194 0.0002582455 -0.04511 6.009 0.000506 796.267 285.432 0.00008369834 0.00023870682 0.0000935798 0.0000982432 204397.336 199043.249 202325.204 0.40086 -1.91443 -0.02576 0.0002581710 -0.06219 7.007 0.000590 795.940 285.373 0.00008322848 0.00023930385 0.0000931504 0.0000985846 204103.000 198808.393 202028.733 0.46719 -2.23004 -0.02938 0.0002580830 -0.08194 8.005 0.000674 795.629 285.319 0.00008275839 0.00023989456 0.0000927151 0.0000989186 203823.345 198588.924 201747.533 0.53338 -2.54473 -0.03282 0.0002579817 -0.10434 9.003 0.000758 795.334 285.271 0.00008228815 0.00024047889 0.0000922741 0.0000992449 203558.356 198384.809 201481.583 0.59941 -2.85844 -0.03608 0.0002578670 -0.12937 10.000 0.000842 795.055 285.229 0.00008181782 0.00024105677 0.0000918274 0.0000995634 203308.017 198196.012 201230.867 0.66526 -3.17113 -0.03914 0.0002577389 -0.15704 11.010 0.000927 794.789 285.192 0.00008134188 0.00024163489 0.0000913699 0.0000998779 203069.598 198020.526 200992.657 0.73170 -3.48647 -0.04206 0.0002575957 -0.18769 12.008 0.001011 794.542 285.162 0.00008087160 0.00024219959 0.0000909123 0.0001001806 202848.695 197862.448 200772.542 0.79714 -3.79698 -0.04475 0.0002574409 -0.22060 13.006 0.001095 794.312 285.137 0.00008040146 0.00024275764 0.0000904496 0.0001004753 202642.405 197719.593 200567.615 0.86236 -4.10634 -0.04726 0.0002572729 -0.25609 14.004 0.001179 794.098 285.119 0.00007993152 0.00024330897 0.0000899818 0.0001007619 202450.719 197591.930 200377.863 0.92733 -4.41450 -0.04958 0.0002570917 -0.29416 15.002 0.001263 793.900 285.106 0.00007946186 0.00024385352 0.0000895091 0.0001010403 202273.627 197479.433 200203.276 0.99205 -4.72142 -0.05171 0.0002568974 -0.33480 16.012 0.001348 793.716 285.098 0.00007898697 0.00024439757 0.0000890258 0.0001013137 202109.277 197381.006 200042.036 1.05725 -5.03068 -0.05369 0.0002566875 -0.37851 17.010 0.001432 793.550 285.097 0.00007851809 0.00024492827 0.0000885436 0.0001015754 201961.528 197298.942 199897.930 1.12139 -5.33497 -0.05545 0.0002564670 -0.42426 18.008 0.001516 793.401 285.101 0.00007804970 0.00024545198 0.0000880570 0.0001018286 201828.357 197231.969 199768.962 1.18522 -5.63789 -0.05703 0.0002562336 -0.47252 19.005 0.001600 793.268 285.111 0.00007758189 0.00024596862 0.0000875659 0.0001020733 201709.760 197180.064 199655.129 1.24872 -5.93938 -0.05842 0.0002559873 -0.52330 20.003 0.001684 793.151 285.126 0.00007711470 0.00024647815 0.0000870707 0.0001023095 201605.737 197143.207 199556.425 1.31187 -6.23941 -0.05963 0.0002557283 -0.57657 21.001 0.001768 793.051 285.148 0.00007664823 0.00024698047 0.0000865715 0.0001025370 201516.287 197121.378 199472.849 1.37467 -6.53794 -0.06065 0.0002554565 -0.63233 22.011 0.001853 792.966 285.175 0.00007617700 0.00024748138 0.0000860624 0.0001027583 201440.609 197114.570 199403.676 1.43782 -6.83843 -0.06149 0.0002551687 -0.69125 23.009 0.001937 792.898 285.207 0.00007571216 0.00024796901 0.0000855555 0.0001029682 201380.488 197122.926 199350.536 1.49983 -7.13379 -0.06214 0.0002548716 -0.75195 24.007 0.002021 792.847 285.246 0.00007524825 0.00024844922 0.0000850450 0.0001031692 201334.951 197146.261 199312.526 1.56143 -7.42750 -0.06261 0.0002545622 -0.81509 25.005 0.002105 792.813 285.289 0.00007478533 0.00024892196 0.0000845311 0.0001033612 201304.005 197184.561 199289.653 1.62259 -7.71953 -0.06289 0.0002542403 -0.88065 26.003 0.002189 792.794 285.339 0.00007432347 0.00024938713 0.0000840139 0.0001035443 201287.659 197237.815 199281.921 1.68331 -8.00982 -0.06298 0.0002539063 -0.94861 27.001 0.002273 792.792 285.394 0.00007386275 0.00024984467 0.0000834936 0.0001037184 201285.924 197306.012 199289.339 1.74356 -8.29834 -0.06289 0.0002535601 -1.01897 28.011 0.002358 792.807 285.455 0.00007339777 0.00025029981 0.0000829641 0.0001038853 201299.053 197390.220 199312.278 1.80404 -8.58844 -0.06261 0.0002531975 -1.09259 29.008 0.002442 792.838 285.521 0.00007293954 0.00025074176 0.0000824381 0.0001040410 201326.752 197488.451 199350.208 1.86331 -8.87324 -0.06215 0.0002528271 -1.16771 30.006 0.002526 792.885 285.592 0.00007248267 0.00025117585 0.0000819094 0.0001041876 201369.104 197601.598 199403.324 1.92205 -9.15613 -0.06150 0.0002524450 -1.24519 31.004 0.002610 792.949 285.669 0.00007202722 0.00025160200 0.0000813782 0.0001043249 201426.126 197729.656 199471.640 1.98026 -9.43706 -0.06066 0.0002520511 -1.32499 32.002 0.002694 793.030 285.752 0.00007157326 0.00025202013 0.0000808447 0.0001044529 201497.839 197872.620 199555.175 2.03793 -9.71599 -0.05964 0.0002516457 -1.40711 33.000 0.002778 793.127 285.840 0.00007112087 0.00025243015 0.0000803091 0.0001045717 201584.264 198030.487 199653.946 2.09502 -9.99285 -0.05843 0.0002512288 -1.49153 34.010 0.002863 793.241 285.935 0.00007066476 0.00025283672 0.0000797651 0.0001046823 201686.717 198205.399 199769.426 2.15219 -10.27088 -0.05702 0.0002507954 -1.57928 35.008 0.002947 793.372 286.034 0.00007021573 0.00025323020 0.0000792256 0.0001047822 201802.815 198393.240 199898.919 2.20809 -10.54348 -0.05544 0.0002503558 -1.66828 36.006 0.003031 793.518 286.138 0.00006976850 0.00025361532 0.0000786845 0.0001048727 201933.702 198595.978 200043.720 2.26337 -10.81388 -0.05367 0.0002499052 -1.75952 37.004 0.003115 793.681 286.248 0.00006932312 0.00025399201 0.0000781419 0.0001049537 202079.408 198813.615 200203.854 2.31801 -11.08203 -0.05171 0.0002494437 -1.85300 38.002 0.003199 793.861 286.363 0.00006887967 0.00025436018 0.0000775980 0.0001050253 202239.964 199046.150 200379.351 2.37199 -11.34789 -0.04956 0.0002489713 -1.94870 39.011 0.003284 794.059 286.485 0.00006843299 0.00025472396 0.0000770464 0.0001050881 202417.583 199296.622 200572.607 2.42594 -11.61454 -0.04720 0.0002484825 -2.04777 40.009 0.003368 794.272 286.611 0.00006799366 0.00025507471 0.0000765003 0.0001051406 202608.122 199559.139 200779.109 2.47855 -11.87564 -0.04467 0.0002479889 -2.14787 41.007 0.003452 794.502 286.742 0.00006755648 0.00025541667 0.0000759533 0.0001051835 202813.620 199836.565 201001.073 2.53047 -12.13430 -0.04195 0.0002474849 -2.25013 42.005 0.003536 794.748 286.879 0.00006712154 0.00025574975 0.0000754057 0.0001052170 203034.116 200128.902 201238.537 2.58166 -12.39046 -0.03905 0.0002469707 -2.35455 43.003 0.003620 795.011 287.021 0.00006668891 0.00025607385 0.0000748576 0.0001052409 203269.654 200436.157 201491.540 2.63211 -12.64409 -0.03595 0.0002464465 -2.46108 44.001 0.003704 795.290 287.168 0.00006625867 0.00025638888 0.0000743092 0.0001052552 203520.277 200758.333 201760.122 2.68180 -12.89513 -0.03267 0.0002459124 -2.56973 45.011 0.003789 795.589 287.322 0.00006582582 0.00025669833 0.0000737540 0.0001052600 203789.288 201099.540 202047.806 2.73130 -13.14646 -0.02915 0.0002453620 -2.68180 46.009 0.003873 795.902 287.480 0.00006540061 0.00025699482 0.0000732054 0.0001052551 204070.406 201451.756 202347.868 2.77943 -13.39211 -0.02548 0.0002448085 -2.79463 47.007 0.003957 796.231 287.643 0.00006497803 0.00025728195 0.0000726570 0.0001052407 204366.757 201818.913 202663.646 2.82674 -13.63502 -0.02162 0.0002442457 -2.90952 48.005 0.004041 796.577 287.812 0.00006455815 0.00025755961 0.0000721089 0.0001052167 204678.396 202201.016 202995.192 2.87324 -13.87513 -0.01756 0.0002436736 -3.02644 49.002 0.004125 796.939 287.985 0.00006414106 0.00025782770 0.0000715613 0.0001051832 205005.378 202598.072 203342.556 2.91889 -14.11238 -0.01331 0.0002430925 -3.14537 50.000 0.004209 797.318 288.164 0.00006372682 0.00025808612 0.0000710143 0.0001051401 205347.761 203010.088 203705.794 2.96369 -14.34671 -0.00887 0.0002425025 -3.26630 51.010 0.004294 797.719 288.350 0.00006331065 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0.00009203988 0.00022694656 0.0001001750 0.0000909209 212224.307 205945.108 210295.027 6.66757 3.87907 3.30653 0.0002574439 4.07276 349.008 0.029378 804.207 287.313 0.00009158758 0.00022764589 0.0000998722 0.0000913783 211661.621 205425.245 209719.147 6.73375 3.55483 3.29949 0.0002575985 4.10269 350.006 0.029462 803.614 287.151 0.00009113362 0.00022834014 0.0000995614 0.0000918304 211114.023 204921.610 209158.986 6.80007 3.23064 3.29264 0.0002577398 4.12978 351.004 0.029546 803.035 286.995 0.00009067807 0.00022902924 0.0000992427 0.0000922770 210581.486 204434.149 208614.516 6.86652 2.90657 3.28598 0.0002578678 4.15405 352.002 0.029630 802.472 286.845 0.00009022102 0.00022971312 0.0000989164 0.0000927180 210063.986 203962.809 208085.711 6.93308 2.58266 3.27951 0.0002579824 4.17549 353.012 0.029715 801.918 286.700 0.00008975710 0.00023039975 0.0000985784 0.0000931584 209555.607 203502.215 207566.529 7.00053 2.25511 3.27315 0.0002580848 4.19433 354.010 0.029799 801.386 286.562 0.00008929729 0.00023107291 0.0000982367 0.0000935877 209068.283 203063.152 207069.160 7.06727 1.93167 3.26707 0.0002581725 4.21013 355.008 0.029883 800.870 286.431 0.00008883624 0.00023174063 0.0000978877 0.0000940110 208595.921 202640.052 206587.374 7.13407 1.60856 3.26118 0.0002582467 4.22314 356.005 0.029967 800.369 286.306 0.00008837403 0.00023240283 0.0000975314 0.0000944281 208138.496 202232.868 206121.144 7.20093 1.28580 3.25547 0.0002583075 4.23336 357.003 0.030051 799.883 286.186 0.00008791073 0.00023305946 0.0000971678 0.0000948390 207695.982 201841.547 205670.445 7.26781 0.96346 3.24996 0.0002583548 4.24082 358.001 0.030135 799.414 286.073 0.00008744643 0.00023371045 0.0000967971 0.0000952435 207268.357 201466.043 205235.248 7.33472 0.64157 3.24464 0.0002583886 4.24551 359.011 0.030220 798.954 285.965 0.00008697566 0.00023436336 0.0000964149 0.0000956462 206850.770 201102.118 204810.625 7.40242 0.31638 3.23944 0.0002584091 4.24745 360.009 0.030304 798.516 285.864 0.00008650958 0.00023500277 0.0000960303 0.0000960374 206453.025 200758.290 204406.540 7.46932 -0.00443 3.23450 0.0002584157 4.24662 Engine speed (Hz) = 33.0000000000 Output power (W) = 140.1374834702 Heat into heater (W) = 246.4874331781 Heat to regenerator (W) = -0.1461997948 Heat removal from cooler (W) = 106.7384512928 Approximate Pumping loss (W) = -26.7523807616 Thermal efficiency (%) = 56.8538045381 The average engine pressure (Pa) = 272401.0135233940 The exp space work per cycle (J) = 7.4700183753 The comp space work per cycle (J) = -3.2234279671 The net work per cycle (J) = 4.2465904082 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.9277431665 The expansion work for Vmin-to-Vmax (J) = 26.1743335747 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.008 0.000001 798.965 285.943 0.00008657563 0.00023486981 0.0000960308 0.0000960370 206725.957 200700.967 204562.547 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.012 0.000083 798.539 285.847 0.00008610560 0.00023550812 0.0000956371 0.0000964237 206339.895 200372.654 204170.223 0.06713 -0.32246 -0.00480 0.0002584088 -0.00372 2.003 0.000164 798.135 285.759 0.00008564060 0.00023613280 0.0000952417 0.0000967988 205973.185 200063.879 203797.965 0.13340 -0.64035 -0.00935 0.0002583885 -0.01009 3.007 0.000246 797.741 285.676 0.00008516923 0.00023675920 0.0000948348 0.0000971716 205616.750 199766.973 203436.557 0.20043 -0.96148 -0.01377 0.0002583544 -0.01927 4.010 0.000328 797.363 285.599 0.00008469730 0.00023737951 0.0000944215 0.0000975371 205275.188 199485.803 203090.668 0.26739 -1.28187 -0.01801 0.0002583067 -0.03118 5.002 0.000409 797.005 285.529 0.00008423065 0.00023798619 0.0000940070 0.0000978911 204952.375 199223.467 202764.209 0.33343 -1.59758 -0.02200 0.0002582461 -0.04560 6.006 0.000491 796.659 285.464 0.00008375784 0.00023859417 0.0000935812 0.0000982420 204640.321 198973.449 202449.100 0.40019 -1.91636 -0.02585 0.0002581713 -0.06290 7.009 0.000573 796.329 285.404 0.00008328470 0.00023919585 0.0000931493 0.0000985855 204343.085 198739.042 202149.444 0.46682 -2.23426 -0.02952 0.0002580828 -0.08289 8.001 0.000654 796.019 285.352 0.00008281708 0.00023978394 0.0000927169 0.0000989173 204064.004 198522.784 201868.594 0.53250 -2.54737 -0.03296 0.0002579821 -0.10526 9.004 0.000736 795.721 285.304 0.00008234351 0.00024037290 0.0000922733 0.0000992455 203796.172 198319.297 201599.599 0.59883 -2.86338 -0.03625 0.0002578668 -0.13057 10.008 0.000818 795.439 285.263 0.00008186984 0.00024095535 0.0000918240 0.0000995658 203543.111 198131.311 201346.002 0.66499 -3.17837 -0.03935 0.0002577379 -0.15853 11.012 0.000900 795.173 285.227 0.00008139615 0.00024153124 0.0000913692 0.0000998783 203304.807 197958.792 201107.787 0.73096 -3.49230 -0.04226 0.0002575955 -0.18913 12.003 0.000981 794.927 285.198 0.00008092827 0.00024209358 0.0000909147 0.0001001791 203083.886 197803.529 200887.563 0.79591 -3.80131 -0.04496 0.0002574418 -0.22195 13.007 0.001063 794.694 285.174 0.00008045474 0.00024265619 0.0000904493 0.0001004755 202874.881 197661.657 200679.880 0.86145 -4.11299 -0.04750 0.0002572728 -0.25777 14.010 0.001145 794.477 285.156 0.00007998140 0.00024321204 0.0000899787 0.0001007638 202680.601 197535.158 200487.538 0.92673 -4.42346 -0.04985 0.0002570905 -0.29619 15.002 0.001226 794.278 285.143 0.00007951410 0.00024375438 0.0000895091 0.0001010403 202503.138 197425.265 200312.593 0.99097 -4.72893 -0.05199 0.0002568974 -0.33669 16.006 0.001308 794.094 285.137 0.00007904138 0.00024429655 0.0000890288 0.0001013120 202338.105 197329.240 200150.714 1.05573 -5.03688 -0.05397 0.0002566888 -0.38025 17.009 0.001390 793.925 285.136 0.00007856906 0.00024483173 0.0000885438 0.0001015753 202187.776 197248.505 200004.149 1.12019 -5.34350 -0.05576 0.0002564671 -0.42638 18.001 0.001471 793.775 285.141 0.00007810298 0.00024535347 0.0000880603 0.0001018269 202053.713 197183.744 199874.397 1.18355 -5.64502 -0.05735 0.0002562352 -0.47445 19.004 0.001553 793.640 285.152 0.00007763171 0.00024587456 0.0000875665 0.0001020731 201932.604 197133.334 199758.252 1.24738 -5.94884 -0.05877 0.0002559876 -0.52563 20.008 0.001635 793.520 285.168 0.00007716107 0.00024638846 0.0000870684 0.0001023106 201826.193 197098.148 199657.405 1.31085 -6.25120 -0.06001 0.0002557270 -0.57933 21.012 0.001717 793.417 285.190 0.00007669114 0.00024689509 0.0000865663 0.0001025393 201734.481 197078.164 199571.854 1.37397 -6.55203 -0.06105 0.0002554536 -0.63554 22.003 0.001798 793.332 285.218 0.00007622770 0.00024738834 0.0000860664 0.0001027566 201658.321 197073.332 199502.365 1.43594 -6.84766 -0.06190 0.0002551710 -0.69352 23.007 0.001880 793.262 285.251 0.00007575938 0.00024788031 0.0000855566 0.0001029677 201595.837 197083.515 199447.222 1.49827 -7.14534 -0.06258 0.0002548723 -0.75467 24.011 0.001962 793.208 285.290 0.00007529199 0.00024836479 0.0000850431 0.0001031699 201548.065 197108.850 199407.380 1.56019 -7.44136 -0.06306 0.0002545610 -0.81829 25.002 0.002043 793.171 285.335 0.00007483128 0.00024883594 0.0000845326 0.0001033607 201515.327 197148.737 199383.052 1.62093 -7.73211 -0.06336 0.0002542413 -0.88354 26.006 0.002125 793.151 285.385 0.00007436594 0.00024930532 0.0000840124 0.0001035449 201496.824 197204.149 199373.645 1.68198 -8.02470 -0.06348 0.0002539053 -0.95201 27.009 0.002207 793.146 285.441 0.00007390174 0.00024976698 0.0000834891 0.0001037199 201493.061 197274.674 199379.560 1.74255 -8.31551 -0.06340 0.0002535570 -1.02291 28.001 0.002288 793.158 285.502 0.00007344439 0.00025021536 0.0000829692 0.0001038837 201503.830 197359.166 199400.457 1.80191 -8.60096 -0.06315 0.0002532010 -1.09530 29.004 0.002370 793.187 285.569 0.00007298268 0.00025066145 0.0000824402 0.0001040404 201529.410 197459.703 199436.865 1.86150 -8.88806 -0.06270 0.0002528286 -1.17095 30.008 0.002452 793.232 285.642 0.00007252233 0.00025109960 0.0000819084 0.0001041878 201569.777 197575.325 199488.633 1.92057 -9.17323 -0.06207 0.0002524443 -1.24898 31.012 0.002534 793.294 285.720 0.00007206341 0.00025152972 0.0000813742 0.0001043259 201624.948 197706.026 199555.778 1.97910 -9.45642 -0.06125 0.0002520481 -1.32937 32.003 0.002615 793.371 285.803 0.00007161157 0.00025194663 0.0000808442 0.0001044531 201694.003 197849.932 199637.220 2.03637 -9.73416 -0.06025 0.0002516452 -1.41107 33.007 0.002697 793.466 285.892 0.00007115572 0.00025236054 0.0000803054 0.0001045725 201778.669 198010.592 199734.989 2.09378 -10.01327 -0.05906 0.0002512259 -1.49609 34.011 0.002779 793.578 285.987 0.00007070152 0.00025276617 0.0000797647 0.0001046824 201878.210 198186.318 199848.196 2.15060 -10.29025 -0.05767 0.0002507951 -1.58342 35.002 0.002860 793.704 286.086 0.00007025456 0.00025315865 0.0000792288 0.0001047816 201991.166 198374.690 199975.203 2.20613 -10.56172 -0.05612 0.0002503584 -1.67194 36.006 0.002942 793.849 286.192 0.00006980388 0.00025354757 0.0000786845 0.0001048727 202120.356 198580.358 200119.173 2.26173 -10.83434 -0.05436 0.0002499052 -1.76381 37.009 0.003024 794.010 286.303 0.00006935508 0.00025392796 0.0000781388 0.0001049542 202264.507 198801.089 200278.660 2.31668 -11.10469 -0.05241 0.0002494410 -1.85793 38.001 0.003105 794.186 286.418 0.00006891367 0.00025429524 0.0000775984 0.0001050253 202421.623 199033.917 200451.468 2.37031 -11.36946 -0.05029 0.0002489716 -1.95311 39.005 0.003187 794.380 286.540 0.00006846883 0.00025465840 0.0000770501 0.0001050877 202595.618 199284.591 200641.894 2.42393 -11.63515 -0.04796 0.0002484858 -2.05168 40.008 0.003269 794.592 286.668 0.00006802610 0.00025501275 0.0000765009 0.0001051405 202784.680 199550.333 200847.935 2.47685 -11.89842 -0.04544 0.0002479894 -2.15244 41.012 0.003351 794.819 286.801 0.00006758555 0.00025535820 0.0000759508 0.0001051837 202988.852 199831.144 201069.629 2.52907 -12.15921 -0.04273 0.0002474825 -2.25540 42.003 0.003432 795.061 286.937 0.00006715260 0.00025569060 0.0000754067 0.0001052169 203205.408 200123.329 201304.025 2.57993 -12.41435 -0.03986 0.0002469716 -2.35923 43.007 0.003514 795.322 287.081 0.00006671663 0.00025601808 0.0000748554 0.0001052409 203439.741 200434.106 201556.951 2.63067 -12.67008 -0.03677 0.0002464444 -2.46648 44.011 0.003596 795.600 287.229 0.00006628307 0.00025633637 0.0000743038 0.0001052553 203689.316 200759.966 201825.652 2.68066 -12.92318 -0.03348 0.0002459071 -2.57586 45.002 0.003677 795.891 287.382 0.00006585726 0.00025664167 0.0000737588 0.0001052600 203950.860 201096.663 202106.610 2.72926 -13.17057 -0.03004 0.0002453668 -2.68598 46.006 0.003759 796.202 287.541 0.00006542875 0.00025694140 0.0000732070 0.0001052551 204230.883 201452.518 202406.808 2.77768 -13.41829 -0.02637 0.0002448102 -2.79954 47.010 0.003841 796.530 287.706 0.00006500290 0.00025723165 0.0000726554 0.0001052406 204526.303 201823.469 202722.925 2.82528 -13.66323 -0.02250 0.0002442440 -2.91518 48.001 0.003922 796.871 287.874 0.00006458494 0.00025750894 0.0000721108 0.0001052168 204833.292 202204.725 203050.867 2.87148 -13.90238 -0.01849 0.0002436757 -3.03142 49.005 0.004004 797.232 288.049 0.00006416461 0.00025778002 0.0000715601 0.0001051831 205159.488 202605.704 203398.786 2.91741 -14.14162 -0.01424 0.0002430912 -3.15112 50.008 0.004086 797.611 288.229 0.00006374720 0.00025804130 0.0000710100 0.0001051397 205501.259 203021.796 203762.787 2.96247 -14.37790 -0.00978 0.0002424977 -3.27284 51.012 0.004168 798.006 288.415 0.00006333277 0.00025829267 0.0000704608 0.0001050867 205858.668 203453.007 204142.929 3.00666 -14.61117 -0.00513 0.0002418955 -3.39655 52.003 0.004249 798.413 288.604 0.00006292641 0.00025853112 0.0000699192 0.0001050250 206227.137 203893.807 204534.345 3.04942 -14.83858 -0.00035 0.0002412922 -3.52069 53.007 0.004331 798.841 288.800 0.00006251817 0.00025876245 0.0000693721 0.0001049529 206615.833 204355.084 204946.761 3.09180 -15.06570 0.00470 0.0002406730 -3.64830 54.011 0.004413 799.287 289.001 0.00006211317 0.00025898353 0.0000688264 0.0001048712 207020.376 204831.490 205375.511 3.13325 -15.28963 0.00995 0.0002400457 -3.77785 55.002 0.004494 799.743 289.205 0.00006171638 0.00025919174 0.0000682888 0.0001047812 207435.617 205316.944 205815.137 3.17327 -15.50765 0.01532 0.0002394181 -3.90769 56.006 0.004576 800.222 289.416 0.00006131809 0.00025939210 0.0000677463 0.0001046806 207871.886 205823.432 206276.567 3.21282 -15.72508 0.02097 0.0002387749 -4.04100 57.010 0.004658 800.718 289.632 0.00006092331 0.00025958185 0.0000672056 0.0001045705 208324.238 206345.053 206754.547 3.25139 -15.93915 0.02681 0.0002381241 -4.17618 58.001 0.004739 801.225 289.851 0.00006053687 0.00025975875 0.0000666734 0.0001044525 208786.944 206875.167 207243.024 3.28852 -16.14724 0.03279 0.0002374740 -4.31152 59.005 0.004821 801.754 290.078 0.00006014933 0.00025992705 0.0000661369 0.0001043237 209271.517 207426.861 207754.140 3.32510 -16.35444 0.03904 0.0002368086 -4.45034 60.008 0.004903 802.301 290.309 0.00005976556 0.00026008436 0.0000656027 0.0001041855 209772.437 207993.675 208282.051 3.36065 -16.55808 0.04550 0.0002361362 -4.59095 61.012 0.004985 802.864 290.546 0.00005938567 0.00026023056 0.0000650710 0.0001040379 210289.798 208575.599 208826.846 3.39516 -16.75811 0.05217 0.0002354569 -4.73334 62.004 0.005066 803.438 290.785 0.00005901431 0.00026036393 0.0000645484 0.0001038830 210817.092 209165.250 209381.665 3.42821 -16.95208 0.05895 0.0002347794 -4.87570 63.007 0.005148 804.035 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0.00008656981 0.00023488643 0.0000960296 0.0000960381 206700.529 200676.625 204537.359 7.45319 -0.00542 3.25279 0.0002584157 4.21193 Engine speed (Hz) = 34.0000000000 Output power (W) = 143.2047303907 Heat into heater (W) = 253.4085914841 Heat to regenerator (W) = -0.1842751748 Heat removal from cooler (W) = 110.5948098702 Approximate Pumping loss (W) = -29.0701018229 Thermal efficiency (%) = 56.5113951157 The average engine pressure (Pa) = 272446.1695208855 The exp space work per cycle (J) = 7.4534296743 The comp space work per cycle (J) = -3.2415258392 The net work per cycle (J) = 4.2119038350 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.9476343535 The expansion work for Vmin-to-Vmax (J) = 26.1595381885 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 799.375 285.971 0.00008664193 0.00023474428 0.0000960338 0.0000960339 206983.736 200619.774 204700.611 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000080 798.947 285.876 0.00008616943 0.00023538644 0.0000956385 0.0000964223 206595.057 200291.750 204305.104 0.06731 -0.32424 -0.00484 0.0002584088 -0.00385 2.003 0.000159 798.539 285.788 0.00008570210 0.00023601470 0.0000952416 0.0000967989 206225.943 199983.499 203929.931 0.13375 -0.64380 -0.00943 0.0002583885 -0.01038 3.011 0.000239 798.143 285.705 0.00008522820 0.00023664490 0.0000948329 0.0000971733 205867.031 199687.170 203565.569 0.20097 -0.96672 -0.01389 0.0002583542 -0.01973 4.007 0.000318 797.767 285.629 0.00008475964 0.00023726121 0.0000944230 0.0000975358 205527.271 199410.129 203221.106 0.26727 -1.28489 -0.01810 0.0002583069 -0.03167 5.002 0.000397 797.407 285.559 0.00008429060 0.00023787149 0.0000940069 0.0000978912 205202.068 199148.531 202891.868 0.33349 -1.60230 -0.02213 0.0002582461 -0.04628 6.010 0.000477 797.059 285.495 0.00008381519 0.00023848327 0.0000935792 0.0000982436 204887.564 198899.318 202573.957 0.40045 -1.92291 -0.02602 0.0002581709 -0.06379 7.006 0.000556 796.730 285.437 0.00008334538 0.00023908119 0.0000931509 0.0000985843 204591.604 198668.680 202275.302 0.46644 -2.23865 -0.02967 0.0002580832 -0.08374 8.001 0.000635 796.418 285.384 0.00008287530 0.00023967287 0.0000927167 0.0000989174 204310.149 198453.367 201991.813 0.53230 -2.55349 -0.03314 0.0002579821 -0.10633 9.009 0.000715 796.117 285.338 0.00008239907 0.00024026562 0.0000922712 0.0000992470 204039.898 198250.907 201720.173 0.59884 -2.87135 -0.03646 0.0002578662 -0.13189 10.004 0.000794 795.836 285.297 0.00008192868 0.00024084454 0.0000918256 0.0000995647 203787.593 198066.327 201467.156 0.66438 -3.18424 -0.03956 0.0002577384 -0.15975 11.012 0.000874 795.568 285.262 0.00008145229 0.00024142423 0.0000913689 0.0000998785 203546.834 197894.918 201226.341 0.73056 -3.50004 -0.04250 0.0002575954 -0.19061 12.008 0.000953 795.320 285.233 0.00008098189 0.00024199013 0.0000909125 0.0001001805 203323.629 197740.933 201003.735 0.79570 -3.81081 -0.04522 0.0002574410 -0.22369 13.003 0.001032 795.087 285.210 0.00008051159 0.00024254944 0.0000904509 0.0001004745 203114.865 197602.102 200796.217 0.86063 -4.12045 -0.04776 0.0002572734 -0.25934 14.011 0.001112 794.867 285.193 0.00008003551 0.00024310907 0.0000899784 0.0001007640 202918.168 197476.926 200601.439 0.92613 -4.43281 -0.05015 0.0002570904 -0.29806 15.007 0.001191 794.666 285.181 0.00007956564 0.00024365494 0.0000895068 0.0001010416 202738.446 197368.506 200424.258 0.99057 -4.74005 -0.05231 0.0002568965 -0.33885 16.002 0.001270 794.481 285.176 0.00007909609 0.00024419404 0.0000890305 0.0001013111 202573.145 197275.153 200262.135 1.05473 -5.04602 -0.05430 0.0002566896 -0.38218 17.010 0.001350 794.311 285.176 0.00007862100 0.00024473297 0.0000885435 0.0001015754 202420.441 197195.949 200113.299 1.11942 -5.35454 -0.05612 0.0002564669 -0.42863 18.005 0.001429 794.158 285.181 0.00007815232 0.00024525821 0.0000880580 0.0001018281 202284.149 197132.848 199981.464 1.18299 -5.65784 -0.05773 0.0002562341 -0.47702 19.001 0.001508 794.022 285.193 0.00007768417 0.00024577645 0.0000875683 0.0001020722 202162.268 197084.743 199864.671 1.24623 -5.95975 -0.05916 0.0002559885 -0.52791 20.009 0.001588 793.900 285.210 0.00007721073 0.00024629406 0.0000870681 0.0001023108 202053.529 197051.289 199761.725 1.30994 -6.26401 -0.06042 0.0002557268 -0.58196 21.004 0.001667 793.796 285.233 0.00007674388 0.00024679802 0.0000865701 0.0001025376 201960.653 197033.301 199675.198 1.37249 -6.56297 -0.06148 0.0002554557 -0.63783 22.012 0.001747 793.707 285.261 0.00007627190 0.00024730101 0.0000860618 0.0001027585 201881.291 197030.307 199602.901 1.43546 -6.86416 -0.06236 0.0002551684 -0.69689 23.008 0.001826 793.635 285.296 0.00007580665 0.00024779039 0.0000855562 0.0001029679 201817.434 197042.362 199546.643 1.49724 -7.16000 -0.06305 0.0002548721 -0.75768 24.003 0.001905 793.580 285.335 0.00007534230 0.00024827242 0.0000850470 0.0001031684 201768.003 197069.320 199505.430 1.55862 -7.45421 -0.06355 0.0002545634 -0.82088 25.011 0.001985 793.540 285.381 0.00007487306 0.00024875299 0.0000845279 0.0001033624 201732.657 197111.790 199479.033 1.62034 -7.75045 -0.06388 0.0002542383 -0.88734 26.006 0.002064 793.517 285.432 0.00007441074 0.00024921999 0.0000840120 0.0001035450 201712.290 197168.699 199468.119 1.68085 -8.04126 -0.06401 0.0002539050 -0.95538 27.002 0.002143 793.511 285.488 0.00007394953 0.00024967942 0.0000834931 0.0001037186 201706.381 197240.470 199472.273 1.74090 -8.33031 -0.06396 0.0002535597 -1.02580 28.010 0.002223 793.520 285.551 0.00007348369 0.00025013686 0.0000829645 0.0001038852 201715.144 197328.285 199491.845 1.80123 -8.62118 -0.06372 0.0002531977 -1.09951 29.005 0.002302 793.546 285.618 0.00007302494 0.00025058080 0.0000824398 0.0001040405 201738.377 197429.939 199526.360 1.86031 -8.90656 -0.06330 0.0002528283 -1.17467 30.001 0.002381 793.589 285.691 0.00007256753 0.00025101693 0.0000819124 0.0001041868 201776.114 197546.427 199575.983 1.91887 -9.19003 -0.06269 0.0002524472 -1.25216 31.009 0.002461 793.648 285.771 0.00007210576 0.00025145054 0.0000813759 0.0001043255 201829.132 197679.500 199641.645 1.97764 -9.47511 -0.06189 0.0002520494 -1.33299 32.004 0.002540 793.723 285.854 0.00007165124 0.00025187070 0.0000808438 0.0001044532 201896.124 197825.825 199721.726 2.03513 -9.75463 -0.06091 0.0002516450 -1.41513 33.012 0.002620 793.816 285.945 0.00007119256 0.00025228797 0.0000803027 0.0001045730 201978.813 197989.101 199818.274 2.09278 -10.03560 -0.05973 0.0002512238 -1.50064 34.007 0.002699 793.923 286.040 0.00007074124 0.00025269183 0.0000797664 0.0001046820 202075.156 198165.243 199928.897 2.14912 -10.31096 -0.05837 0.0002507965 -1.58736 35.003 0.002778 794.048 286.140 0.00007029162 0.00025308747 0.0000792284 0.0001047817 202186.123 198356.196 200054.733 2.20486 -10.58419 -0.05683 0.0002503581 -1.67633 36.011 0.002858 794.190 286.247 0.00006983812 0.00025347965 0.0000786818 0.0001048731 202313.427 198564.656 200197.691 2.26069 -10.85864 -0.05508 0.0002499029 -1.76871 37.006 0.002937 794.347 286.358 0.00006939215 0.00025385848 0.0000781405 0.0001049539 202453.918 198785.412 200354.226 2.31518 -11.12742 -0.05317 0.0002494425 -1.86216 38.002 0.003016 794.521 286.475 0.00006894810 0.00025422882 0.0000775980 0.0001050253 202609.129 199020.975 200526.061 2.36903 -11.39392 -0.05107 0.0002489713 -1.95782 39.010 0.003096 794.713 286.598 0.00006850047 0.00025459511 0.0000770474 0.0001050880 202781.342 199274.611 200715.695 2.42287 -11.66142 -0.04875 0.0002484834 -2.05692 40.005 0.003175 794.919 286.725 0.00006806051 0.00025494810 0.0000765026 0.0001051404 202966.290 199539.980 200918.424 2.47536 -11.92317 -0.04627 0.0002479910 -2.15695 41.000 0.003254 795.142 286.858 0.00006762271 0.00025529233 0.0000759571 0.0001051833 203166.074 199820.161 201136.558 2.52716 -12.18250 -0.04360 0.0002474884 -2.25914 42.008 0.003334 795.385 286.997 0.00006718164 0.00025563189 0.0000754039 0.0001052171 203383.548 200118.986 201373.193 2.57887 -12.44257 -0.04070 0.0002469690 -2.36480 43.004 0.003413 795.641 287.140 0.00006674840 0.00025595821 0.0000748572 0.0001052409 203613.323 200428.987 201622.454 2.62920 -12.69684 -0.03766 0.0002464461 -2.47126 44.012 0.003493 795.917 287.290 0.00006631210 0.00025627944 0.0000743032 0.0001052553 203861.264 200758.016 201890.698 2.67941 -12.95170 -0.03437 0.0002459066 -2.58120 45.007 0.003572 796.206 287.444 0.00006588374 0.00025658746 0.0000737560 0.0001052600 204121.223 201097.852 202171.264 2.72822 -13.20071 -0.03094 0.0002453640 -2.69186 46.003 0.003651 796.511 287.603 0.00006545791 0.00025688623 0.0000732088 0.0001052552 204396.256 201452.517 202467.457 2.77624 -13.44703 -0.02732 0.0002448120 -2.80458 47.011 0.003731 796.838 287.769 0.00006502937 0.00025717926 0.0000726548 0.0001052406 204690.190 201826.789 202783.374 2.82405 -13.69367 -0.02345 0.0002442434 -2.92080 48.006 0.003810 797.177 287.939 0.00006460890 0.00025745911 0.0000721081 0.0001052167 204995.733 202211.314 203111.172 2.87045 -13.93441 -0.01944 0.0002436728 -3.03761 49.001 0.003889 797.532 288.113 0.00006419121 0.00025772942 0.0000715619 0.0001051832 205316.524 202610.682 203454.755 2.91601 -14.17230 -0.01524 0.0002430931 -3.15641 50.009 0.003969 797.909 288.295 0.00006377116 0.00025799330 0.0000710094 0.0001051397 205656.978 203030.234 203818.832 2.96128 -14.41023 -0.01079 0.0002424971 -3.27873 51.005 0.004048 798.297 288.480 0.00006335932 0.00025824405 0.0000704647 0.0001050872 206008.649 203459.487 204194.363 3.00511 -14.64220 -0.00619 0.0002418999 -3.40150 52.000 0.004127 798.702 288.670 0.00006295051 0.00025848492 0.0000699210 0.0001050252 206375.765 203903.592 204585.861 3.04806 -14.87114 -0.00140 0.0002412942 -3.52621 53.008 0.004207 799.130 288.867 0.00006253970 0.00025871866 0.0000693715 0.0001049528 206763.339 204368.458 204998.652 3.09064 -15.09985 0.00365 0.0002406724 -3.65445 54.004 0.004286 799.568 289.067 0.00006213724 0.00025893931 0.0000688303 0.0001048719 207161.756 204842.465 205422.484 3.13176 -15.32253 0.00883 0.0002400502 -3.78300 55.012 0.004366 800.029 289.275 0.00006173304 0.00025915234 0.0000682838 0.0001047803 207581.182 205337.612 205868.162 3.17245 -15.54478 0.01428 0.0002394121 -3.91509 56.007 0.004445 800.501 289.486 0.00006133729 0.00025935229 0.0000677457 0.0001046805 208011.211 205841.522 206324.615 3.21168 -15.76096 0.01987 0.0002387742 -4.04739 57.002 0.004524 800.990 289.701 0.00006094500 0.00025954178 0.0000672095 0.0001045714 208457.070 206360.286 206797.391 3.24995 -15.97383 0.02565 0.0002381288 -4.18153 58.010 0.004604 801.502 289.924 0.00006055136 0.00025972288 0.0000666684 0.0001044514 208924.792 206900.750 207292.865 3.28770 -16.18595 0.03171 0.0002374678 -4.31920 59.006 0.004683 802.024 290.149 0.00006016630 0.00025989094 0.0000661363 0.0001043235 209402.777 207449.397 207798.735 3.32398 -16.39195 0.03790 0.0002368079 -4.45696 60.001 0.004762 802.563 290.379 0.00005978498 0.00026004816 0.0000656065 0.0001041865 209896.863 208012.880 208321.176 3.35925 -16.59445 0.04429 0.0002361410 -4.59648 61.009 0.004842 803.126 290.618 0.00005940272 0.00026019619 0.0000650725 0.0001040383 210413.712 208598.603 208867.212 3.39392 -16.79587 0.05097 0.0002354589 -4.73953 62.005 0.004921 803.698 290.858 0.00005902919 0.00026033119 0.0000645478 0.0001038828 210940.508 209191.907 209423.287 3.42711 -16.99112 0.05777 0.0002347787 -4.88253 63.000 0.005000 804.287 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0.0000539377 291777.033 287145.719 291764.785 2.93257 22.84433 4.33684 0.0002185269 -5.61809 277.011 0.021985 880.209 315.478 0.00011326694 0.00017143688 0.0000985861 0.0000543715 290238.549 285485.312 290215.719 2.96676 22.71588 4.31789 0.0002193056 -5.39349 278.006 0.022064 878.898 314.901 0.00011322575 0.00017213265 0.0000989192 0.0000548057 288725.643 283853.284 288689.756 3.00093 22.58274 4.29922 0.0002200728 -5.17344 279.002 0.022143 877.589 314.327 0.00011317430 0.00017283680 0.0000992446 0.0000552456 287219.465 282229.370 287168.158 3.03553 22.44349 4.28061 0.0002208383 -4.95516 280.010 0.022223 876.265 313.748 0.00011311187 0.00017355803 0.0000995664 0.0000556968 285701.496 280593.724 285632.358 3.07101 22.29634 4.26182 0.0002216112 -4.73599 281.005 0.022302 874.958 313.180 0.00011304014 0.00017427793 0.0000998763 0.0000561478 284210.087 278987.781 284121.316 3.10649 22.14511 4.24333 0.0002223722 -4.52145 282.001 0.022381 873.654 312.614 0.00011295853 0.00017500512 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0.00017953183 0.0001018294 0.0000594646 273958.063 267987.928 273685.364 3.36942 20.92372 4.11567 0.0002276421 -3.06913 289.006 0.022937 864.564 308.741 0.00011211524 0.00018030104 0.0001020735 0.0000599544 272540.202 266473.460 272236.212 3.40876 20.72924 4.09794 0.0002283760 -2.87151 290.002 0.023016 863.289 308.208 0.00011195881 0.00018107498 0.0001023091 0.0000604484 271132.923 264972.250 270796.652 3.44860 20.52989 4.08033 0.0002291055 -2.67619 291.010 0.023096 862.003 307.674 0.00011179153 0.00018186323 0.0001025388 0.0000609527 269718.901 263465.902 269349.021 3.48948 20.32317 4.06262 0.0002298395 -2.48077 292.005 0.023175 860.739 307.150 0.00011161772 0.00018264580 0.0001027570 0.0000614545 268333.757 261992.408 267929.862 3.53037 20.11435 4.04526 0.0002305595 -2.29019 293.000 0.023254 859.481 306.632 0.00011143549 0.00018343222 0.0001029664 0.0000619601 266960.002 260533.158 266521.353 3.57180 19.90099 4.02803 0.0002312745 -2.10201 294.008 0.023334 858.213 306.113 0.00011124250 0.00018423225 0.0001031695 0.0000624758 265580.717 259070.250 265106.198 3.61429 19.68042 4.01072 0.0002319932 -1.91394 295.004 0.023413 856.967 305.605 0.00011104372 0.00018502561 0.0001033610 0.0000629884 264230.621 257640.533 263720.088 3.65678 19.45826 3.99376 0.0002326974 -1.73072 296.012 0.023493 855.712 305.097 0.00011083427 0.00018583211 0.0001035460 0.0000635108 262875.766 256208.072 262328.236 3.70037 19.22900 3.97674 0.0002334048 -1.54773 297.007 0.023572 854.480 304.600 0.00011061951 0.00018663133 0.0001037195 0.0000640298 261550.241 254808.921 260965.722 3.74396 18.99848 3.96007 0.0002340973 -1.36957 298.003 0.023651 853.255 304.109 0.00011039702 0.00018743308 0.0001038840 0.0000645517 260237.237 253425.300 259615.345 3.78810 18.76395 3.94355 0.0002347837 -1.19398 299.011 0.023731 852.023 303.618 0.00011016398 0.00018824729 0.0001040414 0.0000650831 258920.572 252040.203 258260.505 3.83335 18.52250 3.92698 0.0002354724 -1.01881 300.006 0.023810 850.813 303.138 0.00010992635 0.00018905337 0.0001041875 0.0000656104 257633.350 250688.452 256935.322 3.87859 18.28025 3.91077 0.0002361460 -0.84846 301.001 0.023889 849.611 302.665 0.00010968140 0.00018986124 0.0001043245 0.0000661402 256359.208 249352.809 255623.013 3.92439 18.03431 3.89471 0.0002368128 -0.68075 302.009 0.023969 848.403 302.191 0.00010942605 0.00019068092 0.0001044538 0.0000666791 255082.437 248016.844 254307.439 3.97132 17.78161 3.87862 0.0002374810 -0.51363 303.005 0.024048 847.219 301.730 0.00010916680 0.00019149170 0.0001045722 0.0000672134 253835.117 246714.109 253021.702 4.01823 17.52857 3.86289 0.0002381336 -0.35131 304.000 0.024127 846.043 301.274 0.00010890065 0.00019230358 0.0001046813 0.0000677497 252601.352 245427.938 251749.473 4.06568 17.27215 3.84733 0.0002387790 -0.19169 305.008 0.024207 844.861 300.819 0.00010862423 0.00019312665 0.0001047822 0.0000682946 251365.929 244142.495 250475.099 4.11430 17.00914 3.83174 0.0002394248 -0.03283 306.004 0.024286 843.704 300.376 0.00010834461 0.00019394010 0.0001048725 0.0000688343 250159.866 242890.033 249230.619 4.16287 16.74622 3.81651 0.0002400548 0.12129 307.012 0.024366 842.541 299.933 0.00010805482 0.00019476433 0.0001049543 0.0000693824 248952.759 241638.950 247984.701 4.21261 16.47682 3.80127 0.0002406848 0.27453 308.007 0.024445 841.403 299.503 0.00010776226 0.00019557853 0.0001050257 0.0000699250 247774.904 240420.617 246768.652 4.26228 16.20779 3.78640 0.0002412987 0.42307 309.002 0.024524 840.275 299.079 0.00010746348 0.00019639279 0.0001050876 0.0000704687 246611.233 239219.371 245566.959 4.31249 15.93585 3.77170 0.0002419043 0.56881 310.010 0.024604 839.143 298.655 0.00010715471 0.00019721723 0.0001051406 0.0000710203 245447.391 238020.408 244364.826 4.36389 15.65762 3.75699 0.0002425090 0.71353 311.006 0.024683 838.035 298.244 0.00010684380 0.00019803104 0.0001051835 0.0000715659 244312.571 236853.766 243192.440 4.41519 15.38014 3.74265 0.0002430974 0.85360 312.001 0.024762 836.938 297.838 0.00010652706 0.00019884436 0.0001052169 0.0000721121 243192.223 235704.405 242034.804 4.46702 15.10004 3.72849 0.0002436770 0.99084 313.009 0.024842 835.838 297.435 0.00010620050 0.00019966727 0.0001052410 0.0000726658 242072.526 234558.154 240877.664 4.52005 14.81381 3.71433 0.0002442548 1.12691 314.005 0.024921 834.762 297.042 0.00010587242 0.00020047905 0.0001052552 0.0000732128 240981.548 233443.709 239750.055 4.57295 14.52871 3.70054 0.0002448161 1.25841 315.000 0.025000 833.698 296.657 0.00010553890 0.00020128980 0.0001052600 0.0000737600 239905.272 232346.665 238637.517 4.62636 14.24125 3.68693 0.0002453681 1.38703 316.008 0.025080 832.631 296.272 0.00010519575 0.00020210960 0.0001052551 0.0000743142 238830.420 231253.491 237526.348 4.68098 13.94785 3.67333 0.0002459173 1.51436 317.003 0.025159 831.590 295.900 0.00010485166 0.00020291780 0.0001052407 0.0000748612 237783.922 230191.537 236444.413 4.73542 13.65591 3.66010 0.0002464500 1.63719 318.011 0.025239 830.547 295.529 0.00010449805 0.00020373468 0.0001052165 0.0000754149 236739.339 229133.929 235364.400 4.79107 13.35814 3.64689 0.0002469794 1.75863 319.007 0.025318 829.529 295.169 0.00010414390 0.00020453968 0.0001051830 0.0000759611 235722.836 228107.114 234313.382 4.84652 13.06206 3.63403 0.0002474921 1.87563 320.002 0.025397 828.523 294.816 0.00010378492 0.00020534287 0.0001051400 0.0000765067 234721.304 227097.763 233277.825 4.90245 12.76405 3.62136 0.0002479947 1.98973 321.010 0.025477 827.516 294.465 0.00010341661 0.00020615422 0.0001050868 0.0000770583 233722.390 226093.426 232244.976 4.95959 12.46037 3.60873 0.0002484931 2.10231 322.006 0.025556 826.534 294.124 0.00010304830 0.00020695332 0.0001050248 0.0000776020 232751.103 225119.204 231240.709 5.01649 12.15870 3.59644 0.0002489748 2.21055 323.001 0.025635 825.565 293.791 0.00010267553 0.00020775018 0.0001049534 0.0000781445 231794.889 224162.417 230252.062 5.07386 11.85532 3.58435 0.0002494459 2.31587 324.009 0.025715 824.596 293.460 0.00010229362 0.00020855470 0.0001048714 0.0000786926 230841.959 223211.267 229266.862 5.13241 11.54646 3.57230 0.0002499120 2.41955 325.004 0.025794 823.652 293.139 0.00010191223 0.00020934664 0.0001047810 0.0000792323 229916.160 222289.512 228309.776 5.19069 11.23990 3.56059 0.0002503614 2.51899 326.012 0.025874 822.709 292.821 0.00010152182 0.00021014592 0.0001046799 0.0000797772 228994.071 221373.789 227356.608 5.25016 10.92796 3.54893 0.0002508052 2.61671 327.008 0.025953 821.791 292.514 0.00010113227 0.00021093243 0.0001045707 0.0000803135 228098.759 220486.960 226431.213 5.30931 10.61850 3.53761 0.0002512322 2.71027 328.003 0.026032 820.886 292.213 0.00010073883 0.00021171605 0.0001044523 0.0000808477 227218.615 219617.438 225521.602 5.36888 10.30773 3.52648 0.0002516480 2.80089 329.011 0.026112 819.983 291.914 0.00010033657 0.00021250653 0.0001043228 0.0000813866 226342.794 218754.510 224616.580 5.42963 9.99173 3.51541 0.0002520574 2.88969 330.007 0.026191 819.104 291.626 0.00009993565 0.00021328399 0.0001041857 0.0000819163 225493.199 217919.709 223738.788 5.49002 9.67849 3.50467 0.0002524501 2.97442 331.002 0.026270 818.239 291.345 0.00009953117 0.00021405821 0.0001040394 0.0000824437 224658.787 217102.099 222876.826 5.55079 9.36414 3.49413 0.0002528311 3.05624 332.010 0.026350 817.377 291.067 0.00009911806 0.00021483882 0.0001038820 0.0000829750 223829.285 216291.615 222020.093 5.61273 9.04473 3.48364 0.0002532050 3.13611 333.005 0.026429 816.539 290.798 0.00009870675 0.00021560620 0.0001037173 0.0000834969 223025.429 215508.474 221190.011 5.67426 8.72833 3.47349 0.0002535623 3.21204 334.001 0.026508 815.715 290.536 0.00009829220 0.00021637002 0.0001035437 0.0000840159 222236.750 214742.388 220375.774 5.73614 8.41101 3.46353 0.0002539075 3.28506 335.009 0.026588 814.895 290.277 0.00009786921 0.00021713978 0.0001033586 0.0000845382 221453.545 213983.937 219567.375 5.79917 8.08881 3.45364 0.0002542449 3.35602 336.004 0.026667 814.098 290.028 0.00009744846 0.00021789613 0.0001031669 0.0000850508 220695.386 213252.030 218785.020 5.86173 7.76984 3.44407 0.0002545657 3.42317 337.012 0.026747 813.306 289.782 0.00009701940 0.00021865812 0.0001029638 0.0000855664 219943.068 212528.087 218008.897 5.92542 7.44609 3.43458 0.0002548781 3.48821 338.008 0.026826 812.539 289.546 0.00009659285 0.00021940660 0.0001027543 0.0000860719 219215.385 211830.152 217258.401 5.98862 7.12573 3.42539 0.0002551742 3.54951 339.003 0.026905 811.785 289.316 0.00009616357 0.00022015102 0.0001025360 0.0000865737 218502.825 211149.017 216523.717 6.05212 6.80476 3.41641 0.0002554578 3.60791 340.011 0.026985 811.036 289.090 0.00009572618 0.00022090065 0.0001023061 0.0000870780 217796.638 210476.323 215795.836 6.11671 6.47918 3.40750 0.0002557321 3.66411 341.006 0.027064 810.311 288.873 0.00009529170 0.00022163664 0.0001020704 0.0000875719 217114.463 209828.833 215092.939 6.18077 6.15719 3.39890 0.0002559904 3.71669 342.002 0.027143 809.601 288.662 0.00009485478 0.00022236831 0.0001018262 0.0000880616 216447.359 209197.977 214405.812 6.24508 5.83477 3.39050 0.0002562359 3.76639 343.010 0.027223 808.896 288.455 0.00009440994 0.00022310474 0.0001015703 0.0000885531 215787.149 208576.029 213726.039 6.31046 5.50790 3.38218 0.0002564715 3.81379 344.005 0.027302 808.215 288.257 0.00009396839 0.00022382745 0.0001013091 0.0000890340 215150.317 207978.482 213070.595 6.37525 5.18481 3.37416 0.0002566912 3.85771 345.001 0.027381 807.548 288.065 0.00009352468 0.00022454557 0.0001010396 0.0000895103 214528.494 207397.400 212430.864 6.44026 4.86147 3.36634 0.0002568980 3.89877 346.009 0.027461 806.888 287.877 0.00009307325 0.00022526804 0.0001007583 0.0000899878 213914.073 206825.684 211799.023 6.50629 4.53384 3.35861 0.0002570941 3.93743 347.004 0.027540 806.252 287.697 0.00009262547 0.00022597670 0.0001004723 0.0000904544 213322.393 206277.569 211190.848 6.57169 4.21016 3.35117 0.0002572747 3.97275 348.012 0.027620 805.622 287.522 0.00009217010 0.00022668941 0.0001001745 0.0000909217 212738.449 205739.123 210590.917 6.63810 3.88230 3.34383 0.0002574442 4.00562 349.007 0.027699 805.015 287.355 0.00009171861 0.00022738829 0.0000998724 0.0000913780 212176.816 205223.750 210014.204 6.70384 3.55850 3.33678 0.0002575984 4.03522 350.003 0.027778 804.423 287.195 0.00009126541 0.00022808219 0.0000995624 0.0000918290 211630.078 204724.560 209453.086 6.76972 3.23473 3.32991 0.0002577394 4.06201 351.011 0.027858 803.839 287.038 0.00009080481 0.00022877972 0.0000992405 0.0000922801 211091.572 204235.488 208900.733 6.83657 2.90693 3.32315 0.0002578686 4.08626 352.006 0.027937 803.278 286.890 0.00009034843 0.00022946337 0.0000989149 0.0000927199 210574.738 203768.705 208370.926 6.90270 2.58336 3.31667 0.0002579829 4.10738 353.002 0.028016 802.731 286.748 0.00008989058 0.00023014183 0.0000985818 0.0000931541 210072.724 203317.942 207856.639 6.96894 2.25997 3.31038 0.0002580838 4.12571 354.010 0.028096 802.194 286.610 0.00008942555 0.00023082349 0.0000982367 0.0000935877 209579.435 202877.744 207351.629 7.03610 1.93272 3.30420 0.0002581725 4.14143 355.005 0.028175 801.678 286.480 0.00008896503 0.00023149125 0.0000978886 0.0000940099 209107.178 202459.063 206868.496 7.10249 1.60984 3.29829 0.0002582466 4.15415 356.000 0.028254 801.177 286.356 0.00008850330 0.00023215360 0.0000975332 0.0000944261 208649.671 202056.244 206400.805 7.16894 1.28729 3.29257 0.0002583073 4.16411 357.008 0.028334 800.686 286.237 0.00008803458 0.00023281874 0.0000971659 0.0000948411 208201.377 201664.439 205942.902 7.23627 0.96104 3.28697 0.0002583550 4.17138 358.004 0.028413 800.217 286.125 0.00008757068 0.00023346996 0.0000967962 0.0000952445 207773.482 201293.392 205506.209 7.30278 0.63930 3.28163 0.0002583887 4.17579 359.012 0.028493 799.757 286.019 0.00008709992 0.00023412370 0.0000964147 0.0000956464 207355.130 200933.661 205079.645 7.37014 0.31397 3.27641 0.0002584091 4.17747 360.007 0.028572 799.319 285.919 0.00008663416 0.00023476353 0.0000960310 0.0000960367 206956.756 200594.189 204673.850 7.43666 -0.00676 3.27145 0.0002584157 4.17638 Engine speed (Hz) = 35.0000000000 Output power (W) = 146.1723557459 Heat into heater (W) = 260.2829790193 Heat to regenerator (W) = -0.2365281329 Heat removal from cooler (W) = 114.5006336149 Approximate Pumping loss (W) = -31.5114514952 Thermal efficiency (%) = 56.1590144299 The average engine pressure (Pa) = 272492.9648311400 The exp space work per cycle (J) = 7.4362681594 The comp space work per cycle (J) = -3.2599151381 The net work per cycle (J) = 4.1763530213 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.9679379826 The expansion work for Vmin-to-Vmax (J) = 26.1442910040 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000001 799.788 285.997 0.00008670273 0.00023462535 0.0000960310 0.0000960367 207242.156 200530.942 204836.134 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000078 799.364 285.904 0.00008623450 0.00023526213 0.0000956397 0.0000964212 206856.553 200208.031 204443.209 0.06653 -0.32138 -0.00481 0.0002584089 -0.00395 2.003 0.000155 798.955 285.817 0.00008576551 0.00023589307 0.0000952417 0.0000967988 206485.582 199900.785 204065.636 0.13303 -0.64214 -0.00943 0.0002583885 -0.01062 3.001 0.000232 798.562 285.735 0.00008529586 0.00023651812 0.0000948372 0.0000971694 206129.223 199609.156 203703.393 0.19947 -0.96226 -0.01386 0.0002583546 -0.02001 4.012 0.000310 798.179 285.659 0.00008481949 0.00023714519 0.0000944209 0.0000975376 205783.114 199329.619 203352.053 0.26671 -1.28581 -0.01815 0.0002583066 -0.03226 5.010 0.000387 797.817 285.590 0.00008434872 0.00023775815 0.0000940037 0.0000978939 205456.110 199069.299 203020.604 0.33300 -1.60446 -0.02221 0.0002582456 -0.04706 6.008 0.000464 797.471 285.526 0.00008387750 0.00023836499 0.0000935803 0.0000982428 205143.663 198824.467 202704.421 0.39919 -1.92231 -0.02608 0.0002581711 -0.06453 7.006 0.000541 797.141 285.469 0.00008340592 0.00023896566 0.0000931509 0.0000985843 204845.756 198595.085 202403.484 0.46526 -2.23932 -0.02976 0.0002580832 -0.08467 8.004 0.000618 796.826 285.417 0.00008293405 0.00023956008 0.0000927156 0.0000989182 204562.372 198381.113 202117.777 0.53120 -2.55544 -0.03325 0.0002579818 -0.10745 9.001 0.000695 796.528 285.372 0.00008246197 0.00024014819 0.0000922746 0.0000992445 204293.498 198182.515 201847.280 0.59699 -2.87062 -0.03656 0.0002578671 -0.13287 10.012 0.000773 796.241 285.331 0.00008198363 0.00024073744 0.0000918221 0.0000995672 204035.912 197996.973 201588.763 0.66347 -3.18890 -0.03973 0.0002577373 -0.16130 11.010 0.000850 795.975 285.297 0.00008151135 0.00024131263 0.0000913699 0.0000998779 203796.205 197829.212 201348.838 0.72891 -3.50206 -0.04266 0.0002575957 -0.19200 12.008 0.000927 795.724 285.269 0.00008103908 0.00024188131 0.0000909123 0.0001001806 203570.972 197676.718 201124.079 0.79414 -3.81414 -0.04541 0.0002574409 -0.22529 13.006 0.001004 795.489 285.247 0.00008056690 0.00024244340 0.0000904496 0.0001004753 203360.201 197539.461 200914.474 0.85916 -4.12510 -0.04797 0.0002572729 -0.26117 14.004 0.001081 795.270 285.230 0.00008009489 0.00024299884 0.0000899818 0.0001007619 203163.886 197417.409 200720.011 0.92395 -4.43490 -0.05035 0.0002570917 -0.29963 15.002 0.001158 795.067 285.220 0.00007962310 0.00024354754 0.0000895091 0.0001010403 202982.018 197310.534 200540.680 0.98848 -4.74348 -0.05255 0.0002568974 -0.34064 16.013 0.001236 794.877 285.215 0.00007914551 0.00024409645 0.0000890253 0.0001013139 202812.512 197217.717 200374.441 1.05359 -5.05480 -0.05458 0.0002566873 -0.38478 17.011 0.001313 794.706 285.215 0.00007867442 0.00024463140 0.0000885431 0.0001015756 202659.712 197141.310 200225.548 1.11756 -5.36081 -0.05640 0.0002564668 -0.43091 18.009 0.001390 794.552 285.222 0.00007820379 0.00024515942 0.0000880564 0.0001018289 202521.347 197080.001 200091.767 1.18124 -5.66547 -0.05804 0.0002562333 -0.47956 19.007 0.001467 794.413 285.234 0.00007773369 0.00024568042 0.0000875654 0.0001020736 202397.417 197033.766 199973.095 1.24460 -5.96873 -0.05949 0.0002559870 -0.53071 20.004 0.001544 794.290 285.252 0.00007726419 0.00024619435 0.0000870702 0.0001023098 202287.922 197002.584 199869.528 1.30762 -6.27056 -0.06076 0.0002557280 -0.58436 21.002 0.001621 794.184 285.276 0.00007679537 0.00024670112 0.0000865710 0.0001025372 202192.864 196986.433 199781.067 1.37028 -6.57090 -0.06184 0.0002554562 -0.64048 22.000 0.001698 794.094 285.305 0.00007632729 0.00024720066 0.0000860678 0.0001027560 202112.247 196985.295 199707.713 1.43258 -6.86971 -0.06274 0.0002551718 -0.69906 23.011 0.001776 794.019 285.340 0.00007585397 0.00024769925 0.0000855544 0.0001029686 202045.314 196999.431 199648.812 1.49529 -7.17080 -0.06346 0.0002548710 -0.76091 24.009 0.001853 793.961 285.381 0.00007538762 0.00024818402 0.0000850439 0.0001031696 201993.786 197028.461 199605.878 1.55679 -7.46639 -0.06398 0.0002545615 -0.82441 25.007 0.001930 793.919 285.427 0.00007492223 0.00024866134 0.0000845300 0.0001033617 201956.722 197072.454 199578.065 1.61786 -7.76031 -0.06432 0.0002542396 -0.89033 26.005 0.002007 793.894 285.479 0.00007445788 0.00024913112 0.0000840128 0.0001035447 201934.133 197131.397 199565.382 1.67849 -8.05251 -0.06448 0.0002539055 -0.95865 27.003 0.002084 793.885 285.536 0.00007399465 0.00024959330 0.0000834925 0.0001037188 201926.031 197205.277 199567.838 1.73867 -8.34296 -0.06445 0.0002535593 -1.02937 28.001 0.002161 793.892 285.599 0.00007353260 0.00025004780 0.0000829692 0.0001038837 201932.431 197294.082 199585.446 1.79837 -8.63159 -0.06423 0.0002532010 -1.10246 29.012 0.002239 793.916 285.668 0.00007306584 0.00025050028 0.0000824364 0.0001040415 201953.717 197399.249 199618.745 1.85834 -8.92208 -0.06382 0.0002528259 -1.17890 30.010 0.002316 793.956 285.742 0.00007260640 0.00025093906 0.0000819077 0.0001041880 201989.363 197518.071 199666.897 1.91703 -9.20693 -0.06324 0.0002524437 -1.25672 31.008 0.002393 794.012 285.822 0.00007214837 0.00025136992 0.0000813765 0.0001043253 202039.568 197651.793 199730.248 1.97520 -9.48982 -0.06246 0.0002520498 -1.33687 32.005 0.002470 794.084 285.907 0.00007169182 0.00025179277 0.0000808430 0.0001044533 202104.353 197800.408 199808.819 2.03282 -9.77072 -0.06150 0.0002516444 -1.41933 33.003 0.002547 794.173 285.997 0.00007123682 0.00025220752 0.0000803074 0.0001045720 202183.745 197963.910 199902.632 2.08987 -10.04957 -0.06035 0.0002512274 -1.50409 34.001 0.002624 794.278 286.093 0.00007078345 0.00025261410 0.0000797698 0.0001046814 202277.770 198142.295 200011.709 2.14635 -10.32633 -0.05902 0.0002507992 -1.59112 35.012 0.002702 794.402 286.196 0.00007032594 0.00025301753 0.0000792233 0.0001047826 202387.965 198338.169 200137.795 2.20295 -10.60449 -0.05748 0.0002503539 -1.68159 36.010 0.002779 794.540 286.302 0.00006987608 0.00025340738 0.0000786822 0.0001048731 202511.536 198546.505 200277.682 2.25821 -10.87688 -0.05576 0.0002499032 -1.77316 37.008 0.002856 794.694 286.415 0.00006942808 0.00025378879 0.0000781396 0.0001049541 202649.834 198769.717 200432.920 2.31284 -11.14702 -0.05386 0.0002494416 -1.86697 38.006 0.002933 794.865 286.532 0.00006898201 0.00025416167 0.0000775956 0.0001050256 202802.895 199007.804 200603.541 2.36681 -11.41487 -0.05178 0.0002489692 -1.96298 39.004 0.003010 795.053 286.655 0.00006853795 0.00025452593 0.0000770505 0.0001050877 202970.756 199260.767 200789.579 2.42013 -11.68038 -0.04950 0.0002484862 -2.06119 40.002 0.003087 795.257 286.783 0.00006809597 0.00025488148 0.0000765044 0.0001051402 203153.458 199528.606 200991.071 2.47275 -11.94349 -0.04704 0.0002479926 -2.16157 41.013 0.003165 795.480 286.919 0.00006765046 0.00025523266 0.0000759504 0.0001051838 203353.708 199815.091 201210.975 2.52535 -12.20753 -0.04435 0.0002474821 -2.26546 42.011 0.003242 795.717 287.058 0.00006721292 0.00025557037 0.0000754027 0.0001052171 203566.415 200112.880 201443.696 2.57655 -12.46566 -0.04150 0.0002469679 -2.37017 43.008 0.003319 795.971 287.202 0.00006677769 0.00025589909 0.0000748546 0.0001052410 203794.099 200425.550 201691.995 2.62701 -12.72125 -0.03846 0.0002464436 -2.47701 44.006 0.003396 796.241 287.351 0.00006634487 0.00025621870 0.0000743062 0.0001052553 204036.809 200753.104 201955.917 2.67672 -12.97423 -0.03523 0.0002459095 -2.58595 45.004 0.003473 796.527 287.506 0.00006591452 0.00025652912 0.0000737576 0.0001052600 204294.596 201095.547 202235.512 2.72566 -13.22456 -0.03181 0.0002453656 -2.69698 46.002 0.003550 796.830 287.666 0.00006548673 0.00025683023 0.0000732090 0.0001052552 204567.517 201452.879 202530.828 2.77381 -13.47217 -0.02820 0.0002448122 -2.81007 47.000 0.003627 797.150 287.832 0.00006506158 0.00025712193 0.0000726605 0.0001052408 204855.628 201825.106 202841.920 2.82116 -13.71702 -0.02440 0.0002442494 -2.92522 48.011 0.003705 797.491 288.004 0.00006463368 0.00025740773 0.0000721053 0.0001052165 205163.030 202217.355 203173.193 2.86829 -13.96218 -0.02034 0.0002436698 -3.04392 49.009 0.003782 797.844 288.180 0.00006421409 0.00025768018 0.0000715577 0.0001051829 205481.904 202619.572 203516.210 2.91397 -14.20130 -0.01615 0.0002430887 -3.16313 50.007 0.003859 798.213 288.361 0.00006379739 0.00025794290 0.0000710108 0.0001051398 205816.157 203036.692 203875.176 2.95880 -14.43748 -0.01176 0.0002424986 -3.28432 51.005 0.003936 798.600 288.547 0.00006338365 0.00025819578 0.0000704647 0.0001050872 206165.857 203468.718 204250.153 3.00275 -14.67068 -0.00717 0.0002418999 -3.40749 52.003 0.004013 799.003 288.738 0.00006297297 0.00025843872 0.0000699196 0.0001050250 206531.076 203915.651 204641.208 3.04582 -14.90083 -0.00238 0.0002412926 -3.53260 53.001 0.004090 799.422 288.934 0.00006256543 0.00025867159 0.0000693757 0.0001049534 206911.888 204377.491 205048.408 3.08799 -15.12787 0.00260 0.0002406771 -3.65963 54.012 0.004168 799.864 289.138 0.00006215589 0.00025889710 0.0000688260 0.0001048712 207313.622 204860.529 205477.430 3.12976 -15.35464 0.00785 0.0002400452 -3.79027 55.009 0.004245 800.317 289.345 0.00006175494 0.00025910935 0.0000682849 0.0001047805 207726.059 205352.378 205917.348 3.17006 -15.57525 0.01323 0.0002394135 -3.92112 56.007 0.004322 800.787 289.556 0.00006135738 0.00025931117 0.0000677455 0.0001046805 208154.330 205859.131 206373.633 3.20940 -15.79258 0.01881 0.0002387740 -4.05383 57.005 0.004399 801.274 289.773 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0.00017942962 0.0001018278 0.0000594615 274133.265 267881.320 273850.428 3.36357 20.90735 4.13508 0.0002276373 -3.10050 289.002 0.022300 864.861 308.776 0.00011214738 0.00018019904 0.0001020726 0.0000599525 272714.684 266360.838 272399.057 3.40286 20.71319 4.11732 0.0002283730 -2.90238 290.000 0.022377 863.586 308.240 0.00011199166 0.00018097324 0.0001023087 0.0000604476 271306.736 264853.780 270957.263 3.44267 20.51412 4.09968 0.0002291044 -2.70657 291.011 0.022455 862.300 307.703 0.00011182499 0.00018176205 0.0001025392 0.0000609534 269891.628 263341.194 269506.886 3.48352 20.30759 4.08194 0.0002298406 -2.51062 292.009 0.022532 861.036 307.177 0.00011165180 0.00018254497 0.0001027578 0.0000614565 268505.914 261862.197 268085.473 3.52437 20.09900 4.06455 0.0002305624 -2.31958 293.007 0.022609 859.777 306.657 0.00011147014 0.00018333179 0.0001029677 0.0000619634 267131.635 260397.618 266674.702 3.56575 19.88584 4.04729 0.0002312792 -2.13097 294.005 0.022686 858.525 306.142 0.00011128015 0.00018412224 0.0001031687 0.0000624739 265769.036 258947.748 265274.900 3.60766 19.66823 4.03017 0.0002319907 -1.94481 295.003 0.022763 857.279 305.632 0.00011108196 0.00018491604 0.0001033608 0.0000629878 264418.351 257512.861 263886.378 3.65011 19.44627 4.01319 0.0002326967 -1.76114 296.001 0.022840 856.040 305.128 0.00011087572 0.00018571294 0.0001035440 0.0000635050 263079.804 256093.214 262509.435 3.69310 19.22008 3.99634 0.0002333970 -1.58000 297.012 0.022918 854.792 304.623 0.00011065873 0.00018652306 0.0001037202 0.0000640320 261736.467 254670.913 261126.705 3.73720 18.98673 3.97943 0.0002341003 -1.39910 298.009 0.022995 853.567 304.130 0.00011043669 0.00018732539 0.0001038851 0.0000645553 260422.990 253282.652 259773.920 3.78128 18.75231 3.96288 0.0002347884 -1.22312 299.007 0.023072 852.349 303.642 0.00011020701 0.00018813004 0.0001040409 0.0000650814 259122.265 251910.304 258433.533 3.82592 18.51398 3.94648 0.0002354702 -1.04974 300.005 0.023149 851.140 303.161 0.00010996983 0.00018893676 0.0001041874 0.0000656100 257834.475 250554.061 257105.792 3.87110 18.27184 3.93024 0.0002361455 -0.87899 301.003 0.023226 849.938 302.686 0.00010972529 0.00018974533 0.0001043248 0.0000661412 256559.796 249214.100 255790.932 3.91684 18.02598 3.91415 0.0002368140 -0.71090 302.001 0.023303 848.745 302.216 0.00010947352 0.00019055549 0.0001044528 0.0000666747 255298.393 247890.586 254489.177 3.96313 17.77650 3.89823 0.0002374755 -0.54549 303.012 0.023381 847.545 301.747 0.00010921126 0.00019137758 0.0001045730 0.0000672173 254034.305 246566.806 253184.095 4.01059 17.52021 3.88226 0.0002381383 -0.38069 304.010 0.023458 846.369 301.290 0.00010894537 0.00019219028 0.0001046823 0.0000677549 252800.094 245276.843 251909.353 4.05799 17.26378 3.86667 0.0002387852 -0.22074 305.008 0.023535 845.202 300.838 0.00010867266 0.00019300392 0.0001047822 0.0000682944 251579.607 244003.741 250648.324 4.10595 17.00403 3.85124 0.0002394246 -0.06353 306.006 0.023612 844.045 300.394 0.00010839328 0.00019381827 0.0001048727 0.0000688355 250372.976 242747.617 249401.187 4.15445 16.74107 3.83599 0.0002400562 0.09091 307.004 0.023689 842.897 299.955 0.00010810735 0.00019463313 0.0001049537 0.0000693781 249180.325 241508.571 248168.114 4.20351 16.47500 3.82090 0.0002406798 0.24258 308.002 0.023766 841.759 299.523 0.00010781502 0.00019544830 0.0001050253 0.0000699220 248001.770 240286.696 246949.263 4.25311 16.20591 3.80599 0.0002412954 0.39145 309.012 0.023844 840.616 299.091 0.00010751249 0.00019627416 0.0001050882 0.0000704742 246822.393 239066.543 245729.240 4.30392 15.93034 3.79107 0.0002419104 0.53938 310.010 0.023921 839.498 298.672 0.00010720766 0.00019708935 0.0001051406 0.0000710203 245672.536 237879.472 244539.469 4.35462 15.65545 3.77651 0.0002425090 0.68258 311.008 0.023998 838.390 298.259 0.00010689682 0.00019790427 0.0001051836 0.0000715673 244537.083 236709.789 243364.350 4.40586 15.37782 3.76214 0.0002430989 0.82294 312.006 0.024075 837.293 297.853 0.00010658011 0.00019871872 0.0001052170 0.0000721149 243416.122 235557.550 242204.005 4.45763 15.09755 3.74794 0.0002436799 0.96044 313.004 0.024152 836.206 297.452 0.00010625764 0.00019953254 0.0001052409 0.0000726630 242309.734 234422.799 241058.552 4.50994 14.81471 3.73393 0.0002442519 1.09508 314.002 0.024229 835.130 297.059 0.00010592956 0.00020034554 0.0001052552 0.0000732114 241217.996 233305.575 239928.097 4.56277 14.52940 3.72010 0.0002448147 1.22685 315.000 0.024306 834.066 296.672 0.00010559598 0.00020115756 0.0001052600 0.0000737600 240140.976 232205.909 238812.742 4.61613 14.24171 3.70646 0.0002453681 1.35573 316.011 0.024384 832.999 296.286 0.00010525260 0.00020197895 0.0001052551 0.0000743158 239065.042 231109.886 237698.391 4.67071 13.94794 3.69283 0.0002459189 1.48334 317.009 0.024461 831.957 295.912 0.00010490836 0.00020278848 0.0001052406 0.0000748642 238017.839 230045.627 236613.705 4.72510 13.65571 3.67956 0.0002464529 1.60639 318.007 0.024538 830.927 295.545 0.00010455899 0.00020359654 0.0001052166 0.0000754123 236985.532 228998.977 235544.377 4.77999 13.36135 3.66647 0.0002469770 1.72653 319.005 0.024615 829.909 295.184 0.00010420464 0.00020440297 0.0001051831 0.0000759599 235968.167 227969.940 234490.478 4.83538 13.06495 3.65358 0.0002474910 1.84376 320.003 0.024692 828.902 294.830 0.00010384542 0.00020520762 0.0001051400 0.0000765068 234965.789 226958.514 233452.075 4.89127 12.76658 3.64088 0.0002479949 1.95806 321.000 0.024769 827.908 294.482 0.00010348145 0.00020601035 0.0001050874 0.0000770530 233978.435 225964.695 232429.227 4.94764 12.46632 3.62837 0.0002484884 2.06944 322.011 0.024847 826.913 294.137 0.00010310803 0.00020682140 0.0001050244 0.0000776051 232993.612 224975.907 231409.011 5.00522 12.16033 3.61589 0.0002489776 2.17928 323.009 0.024924 825.944 293.802 0.00010273487 0.00020761982 0.0001049527 0.0000781490 232036.602 224017.489 230417.635 5.06254 11.85652 3.60376 0.0002494498 2.28476 324.007 0.025001 824.987 293.474 0.00010235732 0.00020841590 0.0001048716 0.0000786916 231094.706 223076.630 229441.960 5.12032 11.55106 3.59182 0.0002499112 2.38730 325.005 0.025078 824.042 293.153 0.00010197549 0.00020920950 0.0001047809 0.0000792327 230167.946 222153.305 228482.024 5.17856 11.24402 3.58008 0.0002503617 2.48689 326.003 0.025155 823.111 292.838 0.00010158950 0.00021000049 0.0001046809 0.0000797722 229256.341 221247.487 227537.861 5.23723 10.93549 3.56853 0.0002508011 2.58355 327.001 0.025232 822.192 292.530 0.00010119946 0.00021078876 0.0001045715 0.0000803098 228359.905 220359.145 226609.499 5.29634 10.62552 3.55717 0.0002512293 2.67727 328.012 0.025310 821.275 292.224 0.00010080035 0.00021158435 0.0001044512 0.0000808523 227467.304 219477.049 225685.216 5.35664 10.31015 3.54587 0.0002516515 2.76920 329.010 0.025387 820.382 291.929 0.00010040251 0.00021236674 0.0001043230 0.0000813858 226601.435 218623.778 224788.732 5.41659 9.99753 3.53490 0.0002520568 2.85699 330.008 0.025464 819.503 291.641 0.00010000096 0.00021314604 0.0001041856 0.0000819169 225750.760 217787.870 223908.109 5.47695 9.68370 3.52413 0.0002524505 2.94184 331.006 0.025541 818.638 291.359 0.00009959581 0.00021392213 0.0001040389 0.0000824456 224915.281 216969.283 223043.360 5.53769 9.36873 3.51355 0.0002528325 3.02375 332.004 0.025618 817.785 291.083 0.00009918716 0.00021469491 0.0001038830 0.0000829716 224094.999 216167.973 222194.495 5.59882 9.05268 3.50316 0.0002532026 3.10272 333.001 0.025695 816.947 290.814 0.00009877513 0.00021546425 0.0001037180 0.0000834948 223289.911 215383.892 221361.519 5.66032 8.73562 3.49297 0.0002535609 3.17875 334.012 0.025773 816.111 290.548 0.00009835439 0.00021623999 0.0001035416 0.0000840218 222489.853 214607.146 220533.927 5.72298 8.41348 3.48285 0.0002539115 3.25278 335.010 0.025850 815.301 290.292 0.00009793586 0.00021700212 0.0001033584 0.0000845390 221715.333 213857.599 219732.940 5.78520 8.09459 3.47305 0.0002542454 3.32290 336.008 0.025927 814.504 290.043 0.00009751424 0.00021776050 0.0001031662 0.0000850528 220955.985 213125.130 218947.841 5.84775 7.77489 3.46345 0.0002545670 3.39010 337.006 0.026004 813.721 289.800 0.00009708966 0.00021851505 0.0001029650 0.0000855632 220211.799 212409.687 218178.624 5.91062 7.45444 3.45404 0.0002548763 3.45438 338.004 0.026081 812.952 289.563 0.00009666220 0.00021926566 0.0001027550 0.0000860701 219482.763 211711.215 217425.281 5.97380 7.13330 3.44482 0.0002551731 3.51573 339.002 0.026158 812.197 289.333 0.00009623197 0.00022001224 0.0001025362 0.0000865732 218768.861 211029.660 216687.802 6.03729 6.81154 3.43580 0.0002554575 3.57417 340.013 0.026236 811.448 289.107 0.00009579342 0.00022076431 0.0001023057 0.0000870789 218061.103 210356.443 215956.908 6.10189 6.48502 3.42686 0.0002557326 3.63040 341.011 0.026313 810.722 288.889 0.00009535790 0.00022150249 0.0001020694 0.0000875740 217377.619 209708.770 215251.325 6.16594 6.16219 3.41823 0.0002559915 3.68299 342.009 0.026390 810.010 288.678 0.00009491991 0.00022223637 0.0001018245 0.0000880650 216709.218 209077.844 214561.563 6.23025 5.83891 3.40979 0.0002562375 3.73268 343.007 0.026467 809.314 288.474 0.00009447952 0.00022296586 0.0001015711 0.0000885516 216055.882 208463.607 213887.606 6.29481 5.51525 3.40155 0.0002564707 3.77948 344.004 0.026544 808.631 288.275 0.00009403684 0.00022369086 0.0001013093 0.0000890337 215417.591 207866.001 213229.434 6.35960 5.19125 3.39349 0.0002566910 3.82339 345.002 0.026621 807.964 288.084 0.00009359197 0.00022441130 0.0001010391 0.0000895112 214794.322 207284.969 212587.029 6.42462 4.86699 3.38564 0.0002568983 3.86442 346.000 0.026698 807.311 287.898 0.00009314499 0.00022512709 0.0001007607 0.0000899839 214186.054 206720.453 211960.368 6.48983 4.54251 3.37797 0.0002570926 3.90259 347.011 0.026776 806.665 287.716 0.00009269015 0.00022584736 0.0001004702 0.0000904577 213585.159 206165.385 211341.598 6.55610 4.21366 3.37040 0.0002572760 3.93833 348.009 0.026853 806.042 287.543 0.00009223920 0.00022655355 0.0001001754 0.0000909204 213007.020 205633.941 210746.562 6.62169 3.88891 3.36312 0.0002574438 3.97073 349.007 0.026930 805.433 287.377 0.00009178641 0.00022725486 0.0000998725 0.0000913778 212443.814 205118.840 210167.202 6.68745 3.56412 3.35603 0.0002575983 4.00029 350.005 0.027007 804.840 287.216 0.00009133188 0.00022795120 0.0000995617 0.0000918299 211895.515 204620.026 209603.493 6.75335 3.23933 3.34914 0.0002577396 4.02701 351.003 0.027084 804.262 287.062 0.00009087569 0.00022864250 0.0000992431 0.0000922766 211362.102 204137.442 209055.411 6.81939 2.91460 3.34243 0.0002578676 4.05090 352.001 0.027161 803.699 286.914 0.00009041792 0.00022932868 0.0000989167 0.0000927176 210843.548 203671.032 208522.930 6.88555 2.58998 3.33592 0.0002579823 4.07196 353.012 0.027239 803.145 286.770 0.00008995269 0.00023001847 0.0000985784 0.0000931584 210333.387 203214.999 207999.414 6.95268 2.26130 3.32951 0.0002580848 4.09044 354.010 0.027316 802.612 286.634 0.00008949201 0.00023069412 0.0000982367 0.0000935877 209844.674 202780.982 207498.261 7.01903 1.93706 3.32338 0.0002581725 4.10585 355.008 0.027393 802.095 286.504 0.00008903002 0.00023136443 0.0000978877 0.0000940110 209370.749 202362.976 207012.632 7.08546 1.61307 3.31744 0.0002582467 4.11847 356.005 0.027470 801.593 286.381 0.00008856678 0.00023202933 0.0000975314 0.0000944281 208911.588 201960.928 206542.501 7.15195 1.28941 3.31169 0.0002583075 4.12831 357.003 0.027547 801.107 286.263 0.00008810239 0.00023268875 0.0000971678 0.0000948390 208467.168 201574.785 206087.844 7.21849 0.96610 3.30613 0.0002583548 4.13538 358.001 0.027624 800.636 286.152 0.00008763693 0.00023334261 0.0000967971 0.0000952435 208037.466 201204.499 205648.635 7.28505 0.64321 3.30076 0.0002583886 4.13968 359.012 0.027702 800.174 286.046 0.00008716442 0.00023399923 0.0000964145 0.0000956466 207617.166 200845.518 205219.447 7.35248 0.31660 3.29551 0.0002584091 4.14123 360.010 0.027779 799.734 285.946 0.00008669705 0.00023464170 0.0000960299 0.0000960378 207217.022 200506.997 204811.259 7.41905 -0.00531 3.29051 0.0002584157 4.14000 Engine speed (Hz) = 36.0000000000 Output power (W) = 149.0387907795 Heat into heater (W) = 267.0859434031 Heat to regenerator (W) = -0.1912928961 Heat removal from cooler (W) = 118.4585012533 Approximate Pumping loss (W) = -34.0780990578 Thermal efficiency (%) = 55.8018100393 The average engine pressure (Pa) = 272535.8617418216 The exp space work per cycle (J) = 7.4193128898 The comp space work per cycle (J) = -3.2793464792 The net work per cycle (J) = 4.1399664105 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -21.9887208977 The expansion work for Vmin-to-Vmax (J) = 26.1286873083 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.011 0.000001 800.214 286.024 0.00008676678 0.00023450105 0.0000960296 0.0000960381 207508.544 200440.712 204976.585 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.010 0.000076 799.788 285.931 0.00008629758 0.00023513956 0.0000956378 0.0000964230 207121.764 200119.337 204581.874 0.06649 -0.32210 -0.00483 0.0002584088 -0.00411 2.009 0.000151 799.378 285.845 0.00008582762 0.00023577225 0.0000952394 0.0000968010 206749.588 199813.673 204202.530 0.13294 -0.64362 -0.00947 0.0002583884 -0.01094 3.008 0.000226 798.984 285.764 0.00008535695 0.00023639906 0.0000948344 0.0000971720 206391.996 199523.673 203838.532 0.19935 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303.185 0.00011001396 0.00018881785 0.0001041872 0.0000656093 258039.594 250418.810 257280.145 3.86363 18.26172 3.95005 0.0002361445 -0.91038 301.003 0.022598 850.274 302.708 0.00010977021 0.00018962589 0.0001043247 0.0000661410 256766.270 249076.394 255964.646 3.90924 18.01631 3.93396 0.0002368137 -0.74215 302.002 0.022673 849.082 302.237 0.00010951921 0.00019043557 0.0001044529 0.0000666751 255506.215 247750.552 254662.222 3.95540 17.76727 3.91803 0.0002374760 -0.57661 303.001 0.022748 847.899 301.773 0.00010926109 0.00019124668 0.0001045718 0.0000672113 254259.582 246441.433 253373.086 4.00212 17.51471 3.90226 0.0002381310 -0.41378 304.013 0.022824 846.710 301.308 0.00010899241 0.00019206981 0.0001046826 0.0000677567 253010.172 245132.059 252080.526 4.05002 17.25527 3.88645 0.0002387873 -0.25156 305.012 0.022899 845.545 300.856 0.00010872039 0.00019288308 0.0001047826 0.0000682967 251791.003 243857.012 250818.749 4.09784 16.99590 3.87101 0.0002394273 -0.09425 306.011 0.022974 844.389 300.410 0.00010844165 0.00019369712 0.0001048731 0.0000688384 250585.675 242599.065 249570.840 4.14622 16.73329 3.85575 0.0002400596 0.06030 307.010 0.023049 843.243 299.971 0.00010815634 0.00019451170 0.0001049542 0.0000693816 249394.311 241358.318 248336.970 4.19515 16.46755 3.84065 0.0002406839 0.21205 308.009 0.023124 842.106 299.538 0.00010786460 0.00019532664 0.0001050258 0.0000699262 248217.027 240134.861 247117.300 4.24462 16.19877 3.82573 0.0002413000 0.36100 309.008 0.023199 840.979 299.111 0.00010756655 0.00019614172 0.0001050879 0.0000704719 247053.930 238928.777 245911.983 4.29464 15.92704 3.81099 0.0002419078 0.50713 310.007 0.023274 839.863 298.691 0.00010726232 0.00019695675 0.0001051405 0.0000710186 245905.121 237740.134 244721.163 4.34520 15.65246 3.79642 0.0002425071 0.65043 311.006 0.023349 838.757 298.277 0.00010695206 0.00019777156 0.0001051835 0.0000715661 244770.693 236568.995 243544.972 4.39629 15.37512 3.78203 0.0002430976 0.79088 312.005 0.023424 837.661 297.869 0.00010663588 0.00019858594 0.0001052170 0.0000721143 243650.735 235415.412 242383.537 4.44793 15.09510 3.76782 0.0002436793 0.92847 313.004 0.023499 836.576 297.468 0.00010631392 0.00019939973 0.0001052409 0.0000726630 242545.327 234279.430 241236.974 4.50010 14.81250 3.75380 0.0002442519 1.06318 314.003 0.023574 835.502 297.074 0.00010598630 0.00020021274 0.0001052552 0.0000732120 241454.544 233161.084 240105.393 4.55279 14.52741 3.73995 0.0002448153 1.19502 315.002 0.023649 834.439 296.686 0.00010565316 0.00020102481 0.0001052600 0.0000737612 240378.455 232060.404 238988.895 4.60601 14.23991 3.72630 0.0002453692 1.32396 316.001 0.023724 833.387 296.305 0.00010531462 0.00020183577 0.0001052552 0.0000743104 239317.123 230977.412 237887.574 4.65974 13.95010 3.71282 0.0002459136 1.45000 317.000 0.023799 832.347 295.931 0.00010497081 0.00020264546 0.0001052408 0.0000748595 238270.605 229912.122 236801.518 4.71399 13.65804 3.69954 0.0002464483 1.57313 318.012 0.023875 831.304 295.558 0.00010461716 0.00020346449 0.0001052165 0.0000754155 237225.301 228850.695 235716.633 4.76947 13.35990 3.68627 0.0002469800 1.69492 319.011 0.023950 830.287 295.196 0.00010426310 0.00020427113 0.0001051828 0.0000759637 236208.765 227821.068 234661.543 4.82473 13.06359 3.67336 0.0002474945 1.81217 320.010 0.024025 829.282 294.842 0.00010390413 0.00020507604 0.0001051396 0.0000765112 235207.188 226809.151 233621.938 4.88047 12.76530 3.66064 0.0002479988 1.92649 321.009 0.024100 828.289 294.493 0.00010354039 0.00020587907 0.0001050869 0.0000770579 234220.606 225814.939 232597.879 4.93671 12.46510 3.64811 0.0002484928 2.03788 322.008 0.024175 827.308 294.152 0.00010317198 0.00020668006 0.0001050246 0.0000776036 233249.054 224838.417 231589.420 4.99342 12.16307 3.63578 0.0002489762 2.14633 323.007 0.024250 826.340 293.817 0.00010279903 0.00020747889 0.0001049529 0.0000781481 232292.561 223879.568 230596.612 5.05060 11.85929 3.62363 0.0002494489 2.25183 324.006 0.024325 825.384 293.489 0.00010242164 0.00020827541 0.0001048716 0.0000786912 231351.152 222938.370 229619.497 5.10824 11.55384 3.61168 0.0002499109 2.35439 325.005 0.024400 824.441 293.167 0.00010203995 0.00020906950 0.0001047809 0.0000792329 230424.849 222014.798 228658.115 5.16634 11.24679 3.59992 0.0002503619 2.45400 326.004 0.024475 823.510 292.852 0.00010165406 0.00020986102 0.0001046808 0.0000797729 229513.670 221108.822 227712.500 5.22488 10.93821 3.58835 0.0002508017 2.55066 327.003 0.024550 822.592 292.543 0.00010126409 0.00021064984 0.0001045712 0.0000803111 228617.629 220220.410 226782.682 5.28385 10.62819 3.57698 0.0002512304 2.64437 328.002 0.024625 821.688 292.241 0.00010087015 0.00021143585 0.0001044523 0.0000808473 227736.737 219349.525 225868.684 5.34325 10.31678 3.56579 0.0002516477 2.73513 329.001 0.024700 820.796 291.946 0.00010047235 0.00021221892 0.0001043241 0.0000813814 226871.002 218496.128 224970.530 5.40307 10.00407 3.55481 0.0002520535 2.82294 330.000 0.024775 819.918 291.657 0.00010007080 0.00021299894 0.0001041866 0.0000819131 226020.430 217660.178 224088.234 5.46329 9.69012 3.54401 0.0002524477 2.90780 331.013 0.024851 819.041 291.371 0.00009966019 0.00021378612 0.0001040378 0.0000824494 225173.986 216830.834 223210.366 5.52472 9.37080 3.53328 0.0002528352 2.99078 332.012 0.024926 818.190 291.096 0.00009925142 0.00021455964 0.0001038817 0.0000829760 224353.946 216029.874 222360.038 5.58572 9.05457 3.52287 0.0002532057 3.06970 333.011 0.025001 817.352 290.827 0.00009883923 0.00021532977 0.0001037164 0.0000834997 223549.067 215246.221 221525.598 5.64710 8.73731 3.51267 0.0002535642 3.14568 334.010 0.025076 816.528 290.564 0.00009842372 0.00021609640 0.0001035421 0.0000840205 222759.345 214479.825 220707.050 5.70884 8.41909 3.50265 0.0002539106 3.21871 335.009 0.025151 815.718 290.308 0.00009800500 0.00021685943 0.0001033586 0.0000845382 221984.773 213730.635 219904.394 5.77093 8.09996 3.49283 0.0002542449 3.28880 336.008 0.025226 814.921 290.059 0.00009758316 0.00021761875 0.0001031662 0.0000850526 221225.341 212998.598 219117.629 5.83336 7.78000 3.48321 0.0002545669 3.35596 337.007 0.025301 814.139 289.816 0.00009715832 0.00021837427 0.0001029649 0.0000855636 220481.039 212283.658 218346.748 5.89612 7.45928 3.47378 0.0002548765 3.42019 338.006 0.025376 813.370 289.579 0.00009673057 0.00021912589 0.0001027546 0.0000860710 219751.855 211585.761 217591.745 5.95919 7.13784 3.46454 0.0002551737 3.48148 339.005 0.025451 812.616 289.349 0.00009630001 0.00021987351 0.0001025356 0.0000865747 219037.773 210904.849 216852.609 6.02257 6.81575 3.45550 0.0002554583 3.53986 340.004 0.025526 811.876 289.126 0.00009586674 0.00022061703 0.0001023078 0.0000870744 218338.778 210240.867 216129.330 6.08623 6.49309 3.44665 0.0002557302 3.59532 341.003 0.025601 811.150 288.908 0.00009543086 0.00022135637 0.0001020713 0.0000875701 217654.854 209593.755 215421.894 6.15018 6.16989 3.43800 0.0002559894 3.64787 342.002 0.025676 810.439 288.698 0.00009499246 0.00022209144 0.0001018262 0.0000880616 216985.982 208963.456 214730.286 6.21438 5.84623 3.42954 0.0002562359 3.69751 343.001 0.025751 809.742 288.493 0.00009455164 0.00022282215 0.0001015726 0.0000885488 216332.142 208349.912 214054.488 6.27884 5.52217 3.42127 0.0002564694 3.74425 344.013 0.025827 809.051 288.293 0.00009410257 0.00022355806 0.0001013070 0.0000890378 215684.899 207745.217 213385.790 6.34440 5.19342 3.41309 0.0002566929 3.78866 345.012 0.025902 808.383 288.101 0.00009365717 0.00022427973 0.0001010364 0.0000895158 215061.264 207165.225 212741.768 6.40932 4.86871 3.40521 0.0002569003 3.82958 346.011 0.025977 807.730 287.916 0.00009320962 0.00022499677 0.0001007576 0.0000899890 214452.599 206601.810 212113.498 6.47445 4.54377 3.39753 0.0002570946 3.86763 347.010 0.026052 807.092 287.737 0.00009276003 0.00022570912 0.0001004705 0.0000904572 213858.881 206054.913 211500.959 6.53977 4.21865 3.39003 0.0002572758 3.90281 348.009 0.026127 806.469 287.564 0.00009230848 0.00022641669 0.0001001754 0.0000909204 213280.087 205524.476 210904.128 6.60528 3.89340 3.38273 0.0002574438 3.93512 349.008 0.026202 805.861 287.398 0.00009185506 0.00022711939 0.0000998722 0.0000913783 212716.195 205010.439 210322.983 6.67095 3.56808 3.37562 0.0002575985 3.96457 350.007 0.026277 805.267 287.237 0.00009139986 0.00022781716 0.0000995610 0.0000918309 212167.181 204512.745 209757.498 6.73678 3.24275 3.36871 0.0002577399 3.99119 351.006 0.026352 804.689 287.083 0.00009094297 0.00022850991 0.0000992420 0.0000922780 211633.021 204031.338 209207.649 6.80274 2.91746 3.36198 0.0002578680 4.01496 352.005 0.026427 804.126 286.936 0.00009048448 0.00022919757 0.0000989153 0.0000927195 211113.690 203566.160 208673.413 6.86883 2.59226 3.35544 0.0002579828 4.03590 353.004 0.026502 803.577 286.794 0.00009002447 0.00022988006 0.0000985809 0.0000931552 210609.166 203117.154 208154.763 6.93503 2.26720 3.34910 0.0002580841 4.05403 354.003 0.026577 803.044 286.659 0.00008956302 0.00023055730 0.0000982390 0.0000935850 210119.425 202684.267 207651.676 7.00131 1.94233 3.34294 0.0002581720 4.06935 355.002 0.026652 802.526 286.530 0.00008910023 0.00023122924 0.0000978896 0.0000940087 209644.442 202267.443 207164.124 7.06768 1.61772 3.33698 0.0002582464 4.08186 356.001 0.026727 802.024 286.407 0.00008863617 0.00023189578 0.0000975329 0.0000944264 209184.194 201866.628 206692.085 7.13411 1.29340 3.33121 0.0002583073 4.09159 357.000 0.026802 801.536 286.290 0.00008817093 0.00023255686 0.0000971690 0.0000948377 208738.657 201481.771 206235.531 7.20059 0.96942 3.32562 0.0002583547 4.09853 358.012 0.026878 801.058 286.177 0.00008769837 0.00023322112 0.0000967929 0.0000952480 208302.165 201108.006 205788.662 7.26798 0.64154 3.32015 0.0002583889 4.10275 359.011 0.026953 800.602 286.073 0.00008723100 0.00023387099 0.0000964148 0.0000956463 207886.180 200755.119 205363.212 7.33450 0.31842 3.31495 0.0002584091 4.10413 360.010 0.027028 800.161 285.974 0.00008676269 0.00023451518 0.0000960298 0.0000960380 207484.839 200418.037 204953.175 7.40103 -0.00421 3.30993 0.0002584157 4.10276 Engine speed (Hz) = 37.0000000000 Output power (W) = 151.8008617845 Heat into heater (W) = 273.8380174246 Heat to regenerator (W) = -0.1558171978 Heat removal from cooler (W) = 122.4675405667 Approximate Pumping loss (W) = -36.7733427945 Thermal efficiency (%) = 55.4345460182 The average engine pressure (Pa) = 272580.3734054648 The exp space work per cycle (J) = 7.4017789663 The comp space work per cycle (J) = -3.2990529722 The net work per cycle (J) = 4.1027259942 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.0099050870 The expansion work for Vmin-to-Vmax (J) = 26.1126310812 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000000 800.652 286.052 0.00008683610 0.00023436861 0.0000960313 0.0000960364 207784.592 200350.468 205123.715 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000073 800.226 285.960 0.00008636663 0.00023500798 0.0000956397 0.0000964212 207397.091 200030.976 204727.640 0.06634 -0.32237 -0.00485 0.0002584089 -0.00423 2.004 0.000146 799.816 285.874 0.00008589637 0.00023564157 0.0000952414 0.0000967991 207024.123 199727.197 204346.903 0.13266 -0.64417 -0.00950 0.0002583885 -0.01119 3.002 0.000219 799.421 285.794 0.00008542538 0.00023626931 0.0000948366 0.0000971700 206665.668 199439.085 203981.481 0.19893 -0.96534 -0.01397 0.0002583546 -0.02086 4.001 0.000292 799.041 285.720 0.00008495375 0.00023689113 0.0000944254 0.0000975338 206321.707 199166.593 203631.353 0.26514 -1.28584 -0.01826 0.0002583072 -0.03323 5.013 0.000366 798.673 285.651 0.00008447509 0.00023751535 0.0000940022 0.0000978951 205987.810 198906.266 203292.018 0.33217 -1.60999 -0.02241 0.0002582453 -0.04852 6.012 0.000439 798.324 285.589 0.00008400240 0.00023812504 0.0000935784 0.0000982443 205672.983 198665.097 202972.628 0.39821 -1.92899 -0.02631 0.0002581707 -0.06629 7.011 0.000512 797.992 285.533 0.00008352932 0.00023872860 0.0000931487 0.0000985860 205372.600 198439.420 202668.473 0.46414 -2.24717 -0.03004 0.0002580827 -0.08674 8.009 0.000585 797.675 285.483 0.00008305590 0.00023932596 0.0000927131 0.0000989201 205086.645 198229.195 202379.536 0.52994 -2.56449 -0.03357 0.0002579812 -0.10983 9.008 0.000658 797.374 285.439 0.00008258223 0.00023991705 0.0000922717 0.0000992466 204815.105 198034.383 202105.801 0.59559 -2.88090 -0.03692 0.0002578663 -0.13557 10.007 0.000731 797.088 285.401 0.00008210838 0.00024050180 0.0000918247 0.0000995654 204557.968 197854.947 201847.252 0.66109 -3.19635 -0.04008 0.0002577381 -0.16393 11.005 0.000804 796.818 285.368 0.00008163444 0.00024108014 0.0000913722 0.0000998763 204315.221 197690.850 201603.875 0.72641 -3.51079 -0.04306 0.0002575965 -0.19491 12.004 0.000877 796.564 285.342 0.00008116047 0.00024165200 0.0000909143 0.0001001793 204086.854 197542.059 201375.658 0.79154 -3.82419 -0.04585 0.0002574416 -0.22849 13.002 0.000950 796.326 285.321 0.00008068655 0.00024221732 0.0000904513 0.0001004743 203872.860 197408.541 201162.587 0.85645 -4.13648 -0.04846 0.0002572735 -0.26466 14.001 0.001023 796.104 285.306 0.00008021276 0.00024277601 0.0000899831 0.0001007611 203673.230 197290.264 200964.655 0.92114 -4.44764 -0.05088 0.0002570923 -0.30341 15.013 0.001097 795.895 285.297 0.00007973269 0.00024333553 0.0000895036 0.0001010435 203485.520 197185.891 200779.451 0.98647 -4.76184 -0.05314 0.0002568951 -0.34530 16.012 0.001170 795.704 285.293 0.00007925938 0.00024388068 0.0000890257 0.0001013138 203314.799 197098.215 200611.975 1.05065 -5.07055 -0.05519 0.0002566874 -0.38920 17.011 0.001243 795.530 285.296 0.00007878643 0.00024441899 0.0000885431 0.0001015756 203158.428 197025.693 200459.614 1.11455 -5.37797 -0.05706 0.0002564668 -0.43563 18.009 0.001316 795.371 285.304 0.00007831390 0.00024495039 0.0000880561 0.0001018291 203016.407 196968.300 200322.364 1.17815 -5.68407 -0.05874 0.0002562332 -0.48458 19.008 0.001389 795.228 285.318 0.00007784187 0.00024547482 0.0000875647 0.0001020740 202888.736 196926.011 200200.223 1.24145 -5.98879 -0.06023 0.0002559867 -0.53604 20.007 0.001462 795.102 285.338 0.00007737042 0.00024599218 0.0000870691 0.0001023103 202775.415 196898.804 200093.189 1.30441 -6.29208 -0.06154 0.0002557274 -0.58999 21.005 0.001535 794.991 285.363 0.00007689962 0.00024650241 0.0000865695 0.0001025379 202676.449 196886.657 200001.263 1.36702 -6.59391 -0.06266 0.0002554554 -0.64643 22.004 0.001608 794.896 285.394 0.00007642954 0.00024700544 0.0000860660 0.0001027568 202591.843 196889.549 199924.447 1.42927 -6.89422 -0.06360 0.0002551708 -0.70533 23.003 0.001681 794.818 285.430 0.00007596026 0.00024750119 0.0000855588 0.0001029668 202521.604 196907.463 199862.745 1.49113 -7.19297 -0.06436 0.0002548736 -0.76668 24.001 0.001754 794.755 285.473 0.00007549185 0.00024798958 0.0000850479 0.0001031680 202465.741 196940.380 199816.165 1.55260 -7.49010 -0.06493 0.0002545640 -0.83046 25.014 0.001828 794.708 285.521 0.00007501800 0.00024847707 0.0000845266 0.0001033629 202423.795 196989.045 199784.387 1.61448 -7.78961 -0.06532 0.0002542375 -0.89759 26.012 0.001901 794.678 285.575 0.00007455157 0.00024895040 0.0000840090 0.0001035460 202396.914 197052.127 199768.280 1.67508 -8.08336 -0.06551 0.0002539031 -0.96623 27.011 0.001974 794.664 285.634 0.00007408624 0.00024941614 0.0000834883 0.0001037201 202384.447 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838.034 297.886 0.00010669167 0.00019845284 0.0001052170 0.0000721149 243886.703 235268.597 242563.765 4.43864 15.08894 3.78798 0.0002436799 0.89604 313.005 0.022880 836.952 297.485 0.00010637070 0.00019926539 0.0001052409 0.0000726634 242783.960 234133.012 241417.791 4.49058 14.80700 3.77396 0.0002442523 1.03063 314.004 0.022953 835.881 297.090 0.00010604405 0.00020007721 0.0001052552 0.0000732122 241695.776 233015.125 240286.737 4.54306 14.52255 3.76012 0.0002448155 1.16234 315.002 0.023026 834.821 296.702 0.00010571186 0.00020088813 0.0001052600 0.0000737612 240622.218 231914.961 239170.707 4.59605 14.23568 3.74647 0.0002453692 1.29115 316.001 0.023099 833.772 296.321 0.00010537425 0.00020169799 0.0001052552 0.0000743102 239563.350 230832.542 238069.793 4.64956 13.94648 3.73300 0.0002459134 1.41707 317.013 0.023173 832.721 295.941 0.00010502661 0.00020251769 0.0001052406 0.0000748666 238505.027 229753.419 236969.318 4.70433 13.65101 3.71954 0.0002464552 1.54174 318.012 0.023246 831.695 295.573 0.00010467846 0.00020332491 0.0001052165 0.0000754151 237475.905 228706.765 235899.106 4.75886 13.35735 3.70645 0.0002469796 1.66179 319.010 0.023319 830.681 295.212 0.00010432526 0.00020413059 0.0001051829 0.0000759631 236461.627 227677.876 234844.253 4.81389 13.06160 3.69355 0.0002474940 1.77891 320.009 0.023392 829.679 294.857 0.00010396714 0.00020493458 0.0001051397 0.0000765104 235462.236 226666.749 233804.830 4.86942 12.76385 3.68083 0.0002479981 1.89310 321.008 0.023465 828.688 294.509 0.00010360422 0.00020573673 0.0001050870 0.0000770569 234477.768 225673.373 232780.895 4.92542 12.46418 3.66830 0.0002484919 2.00436 322.006 0.023538 827.710 294.167 0.00010323660 0.00020653690 0.0001050248 0.0000776024 233508.258 224697.735 231772.507 4.98191 12.16265 3.65597 0.0002489752 2.11269 323.005 0.023611 826.744 293.832 0.00010286442 0.00020733495 0.0001049531 0.0000781467 232553.732 223739.814 230779.714 5.03886 11.85936 3.64382 0.0002494478 2.21806 324.004 0.023684 825.791 293.504 0.00010248779 0.00020813074 0.0001048719 0.0000786897 231614.217 222799.587 229802.561 5.09628 11.55437 3.63187 0.0002499096 2.32050 325.002 0.023757 824.850 293.182 0.00010210682 0.00020892414 0.0001047812 0.0000792312 230689.733 221877.028 228841.088 5.15415 11.24777 3.62011 0.0002503604 2.41998 326.001 0.023830 823.922 292.867 0.00010172163 0.00020971502 0.0001046812 0.0000797710 229780.298 220972.104 227895.330 5.21246 10.93962 3.60854 0.0002508002 2.51652 327.013 0.023904 822.994 292.555 0.00010132697 0.00021051404 0.0001045701 0.0000803164 228873.779 220072.749 226952.687 5.27202 10.62575 3.59701 0.0002512345 2.61136 328.012 0.023977 822.092 292.253 0.00010093362 0.00021129946 0.0001044512 0.0000808523 227994.688 219203.232 226038.661 5.33120 10.31472 3.58583 0.0002516515 2.70196 329.010 0.024050 821.203 291.958 0.00010053639 0.00021208200 0.0001043229 0.0000813862 227130.677 218351.238 225140.428 5.39080 10.00236 3.57484 0.0002520571 2.78960 330.009 0.024123 820.327 291.670 0.00010013538 0.00021286153 0.0001041854 0.0000819177 226281.754 217516.724 224258.005 5.45080 9.68874 3.56404 0.0002524511 2.87429 331.008 0.024196 819.464 291.388 0.00009973071 0.00021363794 0.0001040386 0.0000824467 225447.919 216699.644 223391.408 5.51120 9.37393 3.55344 0.0002528333 2.95604 332.006 0.024269 818.614 291.112 0.00009932248 0.00021441111 0.0001038826 0.0000829731 224629.172 215899.951 222540.645 5.57198 9.05801 3.54303 0.0002532037 3.03483 333.005 0.024342 817.778 290.844 0.00009891079 0.00021518094 0.0001037174 0.0000834967 223825.510 215117.596 221705.724 5.63314 8.74104 3.53282 0.0002535621 3.11068 334.004 0.024415 816.956 290.581 0.00009849577 0.00021594731 0.0001035432 0.0000840173 223036.929 214352.526 220886.649 5.69466 8.42308 3.52280 0.0002539085 3.18359 335.002 0.024488 816.148 290.326 0.00009807750 0.00021671014 0.0001033599 0.0000845349 222263.421 213604.688 220083.421 5.75654 8.10420 3.51298 0.0002542428 3.25356 336.001 0.024561 815.353 290.077 0.00009765609 0.00021746930 0.0001031676 0.0000850491 221504.978 212874.029 219296.038 5.81875 7.78446 3.50334 0.0002545647 3.32060 337.013 0.024635 814.561 289.831 0.00009722581 0.00021823503 0.0001029635 0.0000855669 220751.508 212150.837 218514.037 5.88216 7.45954 3.49378 0.0002548785 3.38556 338.012 0.024708 813.794 289.595 0.00009679838 0.00021898652 0.0001027533 0.0000860741 220023.363 211454.600 217758.546 5.94502 7.13827 3.48454 0.0002551754 3.44670 339.011 0.024781 813.042 289.365 0.00009636812 0.00021973407 0.0001025343 0.0000865775 219310.245 210775.370 217018.881 6.00819 6.81634 3.47549 0.0002554599 3.50491 340.009 0.024854 812.303 289.142 0.00009593513 0.00022047757 0.0001023065 0.0000870771 218612.137 210113.090 216295.029 6.07165 6.49380 3.46663 0.0002557317 3.56021 341.008 0.024927 811.579 288.925 0.00009549949 0.00022121692 0.0001020701 0.0000875726 217929.023 209467.700 215586.980 6.13539 6.17072 3.45797 0.0002559907 3.61259 342.006 0.025000 810.869 288.715 0.00009506131 0.00022195205 0.0001018251 0.0000880639 217260.885 208839.141 214894.717 6.19940 5.84715 3.44950 0.0002562370 3.66208 343.005 0.025073 810.173 288.511 0.00009462069 0.00022268287 0.0001015715 0.0000885509 216607.703 208227.353 214218.224 6.26366 5.52316 3.44123 0.0002564704 3.70866 344.004 0.025146 809.492 288.313 0.00009417771 0.00022340928 0.0001013095 0.0000890333 215969.457 207632.278 213557.485 6.32815 5.19880 3.43314 0.0002566909 3.75235 345.002 0.025219 808.825 288.122 0.00009373247 0.00022413120 0.0001010391 0.0000895112 215346.127 207053.853 212912.479 6.39288 4.87412 3.42525 0.0002568983 3.79316 346.001 0.025292 808.173 287.937 0.00009328506 0.00022484855 0.0001007605 0.0000899842 214737.691 206492.021 212283.188 6.45781 4.54919 3.41755 0.0002570927 3.83109 347.013 0.025366 807.527 287.756 0.00009282940 0.00022557097 0.0001004696 0.0000904587 214136.100 205939.365 211661.293 6.52384 4.21961 3.40995 0.0002572763 3.86660 348.012 0.025439 806.905 287.584 0.00009237791 0.00022627886 0.0001001745 0.0000909217 213557.588 205410.762 211063.581 6.58916 3.89433 3.40263 0.0002574442 3.89876 349.011 0.025512 806.297 287.418 0.00009192452 0.00022698193 0.0000998714 0.0000913795 212993.903 204898.572 210481.516 6.65465 3.56897 3.39551 0.0002575989 3.92807 350.009 0.025585 805.704 287.259 0.00009146932 0.00022768010 0.0000995603 0.0000918319 212445.020 204402.736 209915.077 6.72030 3.24357 3.38859 0.0002577402 3.95453 351.008 0.025658 805.126 287.105 0.00009101241 0.00022837330 0.0000992414 0.0000922788 211910.917 203923.196 209364.238 6.78609 2.91819 3.38185 0.0002578683 3.97815 352.007 0.025731 804.563 286.958 0.00009055386 0.00022906145 0.0000989148 0.0000927201 211391.569 203459.894 208828.976 6.85200 2.59289 3.37530 0.0002579829 3.99895 353.005 0.025804 804.015 286.817 0.00009009377 0.00022974448 0.0000985805 0.0000931556 210886.952 203012.774 208309.267 6.91802 2.26770 3.36894 0.0002580842 4.01692 354.004 0.025877 803.482 286.683 0.00008963222 0.00023042230 0.0000982387 0.0000935853 210397.044 202581.779 207805.085 6.98415 1.94270 3.36277 0.0002581720 4.03209 355.002 0.025950 802.965 286.554 0.00008916930 0.00023109484 0.0000978895 0.0000940089 209921.821 202166.854 207316.406 7.05035 1.61792 3.35680 0.0002582464 4.04446 356.001 0.026023 802.462 286.432 0.00008870509 0.00023176204 0.0000975329 0.0000944264 209461.258 201767.946 206843.205 7.11661 1.29342 3.35101 0.0002583073 4.05405 357.013 0.026097 801.968 286.314 0.00008823328 0.00023243284 0.0000971641 0.0000948431 209009.328 201379.864 206379.294 7.18384 0.96481 3.34533 0.0002583552 4.06093 358.012 0.026170 801.496 286.204 0.00008776672 0.00023308905 0.0000967931 0.0000952478 208578.220 201013.046 205937.188 7.25019 0.64103 3.33992 0.0002583889 4.06492 359.011 0.026243 801.040 286.100 0.00008729912 0.00023373968 0.0000964151 0.0000956460 208161.706 200662.086 205510.486 7.31657 0.31767 3.33470 0.0002584091 4.06617 360.009 0.026316 800.598 286.002 0.00008683056 0.00023438469 0.0000960302 0.0000960375 207759.765 200326.933 205099.166 7.38294 -0.00520 3.32967 0.0002584157 4.06466 Engine speed (Hz) = 38.0000000000 Output power (W) = 154.4555941691 Heat into heater (W) = 280.5517714253 Heat to regenerator (W) = -0.1976557151 Heat removal from cooler (W) = 126.5275274159 Approximate Pumping loss (W) = -39.6002504220 Thermal efficiency (%) = 55.0542216805 The average engine pressure (Pa) = 272629.5776176459 The exp space work per cycle (J) = 7.3832270637 The comp space work per cycle (J) = -3.3186061645 The net work per cycle (J) = 4.0646208992 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.0316120383 The expansion work for Vmin-to-Vmax (J) = 26.0962329375 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.012 0.000001 801.097 286.079 0.00008690257 0.00023423916 0.0000960294 0.0000960384 208063.444 200254.526 205270.537 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000072 800.672 285.988 0.00008643351 0.00023487842 0.0000956384 0.0000964224 207675.939 199937.525 204873.793 0.06610 -0.32217 -0.00485 0.0002584088 -0.00438 2.005 0.000143 800.261 285.903 0.00008596362 0.00023551194 0.0000952408 0.0000967996 207302.851 199636.196 204492.312 0.13217 -0.64378 -0.00952 0.0002583885 -0.01148 3.002 0.000214 799.866 285.823 0.00008549299 0.00023613968 0.0000948368 0.0000971698 206944.161 199350.490 204126.071 0.19820 -0.96479 -0.01400 0.0002583546 -0.02128 4.013 0.000286 799.482 285.749 0.00008501505 0.00023677026 0.0000944205 0.0000975380 206595.104 199076.668 203770.215 0.26511 -1.28964 -0.01835 0.0002583065 -0.03396 5.010 0.000357 799.118 285.682 0.00008454317 0.00023738611 0.0000940037 0.0000978939 206265.358 198822.292 203434.609 0.33101 -1.60928 -0.02246 0.0002582456 -0.04917 6.007 0.000428 798.769 285.621 0.00008407078 0.00023799595 0.0000935807 0.0000982424 205949.957 198583.406 203114.183 0.39682 -1.92817 -0.02638 0.0002581712 -0.06705 7.003 0.000499 798.436 285.566 0.00008359796 0.00023859971 0.0000931518 0.0000985835 205648.886 198359.968 202808.921 0.46252 -2.24626 -0.03011 0.0002580834 -0.08758 8.000 0.000570 798.118 285.517 0.00008312479 0.00023919732 0.0000927170 0.0000989171 205362.130 198151.938 202518.804 0.52810 -2.56350 -0.03366 0.0002579822 -0.11076 9.011 0.000642 797.812 285.473 0.00008264468 0.00023979701 0.0000922702 0.0000992477 205085.941 197956.672 202240.052 0.59447 -2.88430 -0.03707 0.0002578659 -0.13695 10.008 0.000713 797.526 285.435 0.00008217104 0.00024038203 0.0000918240 0.0000995658 204827.979 197779.557 201980.393 0.65975 -3.19970 -0.04025 0.0002577379 -0.16541 11.005 0.000784 797.255 285.404 0.00008169728 0.00024096069 0.0000913723 0.0000998762 204584.295 197617.736 201735.835 0.72487 -3.51411 -0.04324 0.0002575965 -0.19648 12.002 0.000855 797.000 285.378 0.00008122348 0.00024153292 0.0000909153 0.0001001786 204354.880 197471.175 201506.366 0.78979 -3.82749 -0.04605 0.0002574420 -0.23014 13.013 0.000927 796.758 285.358 0.00008074304 0.00024210658 0.0000904466 0.0001004772 204136.797 197338.099 201289.063 0.85542 -4.14418 -0.04871 0.0002572718 -0.26691 14.009 0.000998 796.534 285.344 0.00008026938 0.00024266565 0.0000899792 0.0001007634 203936.097 197222.172 201089.952 0.91991 -4.45534 -0.05114 0.0002570907 -0.30575 15.006 0.001069 796.327 285.336 0.00007979590 0.00024321808 0.0000895070 0.0001010415 203749.645 197121.409 200905.900 0.98416 -4.76532 -0.05339 0.0002568965 -0.34715 16.003 0.001140 796.135 285.333 0.00007932269 0.00024376379 0.0000890300 0.0001013114 203577.437 197035.780 200736.901 1.04815 -5.07408 -0.05546 0.0002566894 -0.39109 17.014 0.001212 795.956 285.336 0.00007884315 0.00024431025 0.0000885415 0.0001015765 203417.348 196964.372 200580.889 1.11277 -5.38589 -0.05737 0.0002564660 -0.43822 18.011 0.001283 795.796 285.345 0.00007837068 0.00024484221 0.0000880554 0.0001018294 203273.822 196909.143 200442.193 1.17620 -5.69205 -0.05907 0.0002562328 -0.48723 19.008 0.001354 795.652 285.360 0.00007789869 0.00024536724 0.0000875649 0.0001020739 203144.537 196868.969 200318.539 1.23931 -5.99685 -0.06058 0.0002559868 -0.53874 20.004 0.001425 795.523 285.381 0.00007742727 0.00024588526 0.0000870702 0.0001023098 203029.496 196843.828 200209.926 1.30210 -6.30024 -0.06191 0.0002557280 -0.59273 21.001 0.001496 795.411 285.407 0.00007695647 0.00024639619 0.0000865715 0.0001025370 202928.703 196833.697 200116.356 1.36455 -6.60217 -0.06305 0.0002554565 -0.64919 22.012 0.001568 795.313 285.439 0.00007647977 0.00024690700 0.0000860618 0.0001027585 202841.045 196838.732 200036.832 1.42751 -6.90683 -0.06402 0.0002551684 -0.70896 23.009 0.001639 795.232 285.476 0.00007601048 0.00024740343 0.0000855555 0.0001029682 202768.966 196858.773 199973.569 1.48921 -7.20569 -0.06480 0.0002548716 -0.77035 24.006 0.001710 795.167 285.519 0.00007554205 0.00024789254 0.0000850455 0.0001031690 202711.157 196893.766 199925.362 1.55052 -7.50296 -0.06539 0.0002545625 -0.83417 25.003 0.001781 795.119 285.568 0.00007507455 0.00024837426 0.0000845322 0.0001033608 202667.630 196943.695 199892.221 1.61142 -7.79858 -0.06579 0.0002542410 -0.90040 26.014 0.001853 795.085 285.623 0.00007460149 0.00024885513 0.0000840083 0.0001035463 202638.089 197009.566 199874.009 1.67273 -8.09664 -0.06602 0.0002539026 -0.97001 27.010 0.001924 795.069 285.683 0.00007413609 0.00024932171 0.0000834885 0.0001037201 202623.369 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826.195 293.516 0.00010255040 0.00020799311 0.0001048711 0.0000786946 231870.687 222647.258 229977.452 5.08409 11.55392 3.65231 0.0002499137 2.28709 325.009 0.023149 825.258 293.195 0.00010217068 0.00020878463 0.0001047805 0.0000792351 230949.591 221727.214 229017.466 5.14165 11.24821 3.64056 0.0002503636 2.38627 326.006 0.023220 824.334 292.880 0.00010178672 0.00020957368 0.0001046806 0.0000797739 230043.425 220824.796 228073.098 5.19965 10.94093 3.62901 0.0002508025 2.48251 327.003 0.023291 823.422 292.573 0.00010139864 0.00021036014 0.0001045713 0.0000803109 229152.203 219939.967 227144.378 5.25809 10.63217 3.61765 0.0002512302 2.57581 328.014 0.023363 822.511 292.267 0.00010100100 0.00021115490 0.0001044509 0.0000808535 228263.702 219060.600 226218.586 5.31778 10.31762 3.60633 0.0002516524 2.66741 329.011 0.023434 821.625 291.973 0.00010060496 0.00021193577 0.0001043229 0.0000813864 227402.608 218211.077 225321.459 5.37706 10.00608 3.59535 0.0002520572 2.75479 330.008 0.023505 820.752 291.685 0.00010020513 0.00021271369 0.0001041856 0.0000819169 226556.481 217379.020 224440.047 5.43675 9.69327 3.58457 0.0002524505 2.83922 331.005 0.023576 819.893 291.404 0.00009980162 0.00021348855 0.0001040390 0.0000824450 225725.323 216564.379 223574.366 5.49684 9.37926 3.57398 0.0002528321 2.92071 332.001 0.023647 819.047 291.129 0.00009939453 0.00021426022 0.0001038834 0.0000829705 224909.133 215767.107 222724.425 5.55731 9.06411 3.56358 0.0002532018 2.99926 333.012 0.023719 818.202 290.857 0.00009897817 0.00021503941 0.0001037162 0.0000835005 224096.731 214976.291 221878.598 5.61901 8.74343 3.55323 0.0002535647 3.07592 334.009 0.023790 817.383 290.596 0.00009856420 0.00021580436 0.0001035422 0.0000840202 223310.677 214213.845 221060.382 5.68023 8.42620 3.54322 0.0002539104 3.14856 335.006 0.023861 816.578 290.341 0.00009814697 0.00021656581 0.0001033592 0.0000845367 222539.575 213468.610 220257.922 5.74180 8.10802 3.53341 0.0002542439 3.21828 336.003 0.023932 815.786 290.092 0.00009772658 0.00021732366 0.0001031672 0.0000850500 221783.417 212740.530 219471.216 5.80370 7.78898 3.52378 0.0002545653 3.28506 337.014 0.024004 814.997 289.847 0.00009729715 0.00021808840 0.0001029635 0.0000855671 221031.858 212019.656 218689.515 5.86682 7.46461 3.51422 0.0002548786 3.34980 338.010 0.024075 814.233 289.611 0.00009687071 0.00021883870 0.0001027536 0.0000860734 220305.763 211325.954 217934.526 5.92938 7.14400 3.50499 0.0002551750 3.41071 339.007 0.024146 813.483 289.382 0.00009644142 0.00021958511 0.0001025350 0.0000865759 219594.573 210649.234 217195.274 5.99224 6.82270 3.49594 0.0002554590 3.46870 340.004 0.024217 812.747 289.160 0.00009600937 0.00022032752 0.0001023077 0.0000870746 218898.273 209989.436 216471.748 6.05540 6.50078 3.48709 0.0002557303 3.52378 341.001 0.024288 812.025 288.944 0.00009557465 0.00022106586 0.0001020718 0.0000875692 218216.846 209346.501 215763.936 6.11883 6.17829 3.47843 0.0002559890 3.57596 342.012 0.024360 811.307 288.731 0.00009513119 0.00022181033 0.0001018237 0.0000880666 217540.992 208711.670 215062.188 6.18344 5.85074 3.46985 0.0002562383 3.62592 343.009 0.024431 810.614 288.528 0.00009469141 0.00022254018 0.0001015706 0.0000885526 216889.466 208102.514 214385.981 6.24740 5.52730 3.46158 0.0002564712 3.67228 344.006 0.024502 809.935 288.332 0.00009424925 0.00022326568 0.0001013090 0.0000890342 216252.756 207510.040 213725.442 6.31160 5.20347 3.45350 0.0002566912 3.71575 345.002 0.024573 809.270 288.141 0.00009380481 0.00022398675 0.0001010391 0.0000895112 215630.842 206934.185 213080.552 6.37603 4.87930 3.44561 0.0002568983 3.75635 346.013 0.024645 808.611 287.955 0.00009335188 0.00022471337 0.0001007570 0.0000899900 215015.257 206367.131 212442.540 6.44159 4.55029 3.43780 0.0002570950 3.79459 347.010 0.024716 807.975 287.777 0.00009290312 0.00022542526 0.0001004705 0.0000904572 214423.077 205824.567 211829.109 6.50644 4.22563 3.43030 0.0002572758 3.82941 348.007 0.024787 807.354 287.606 0.00009245236 0.00022613247 0.0001001760 0.0000909194 213845.627 205298.441 211231.266 6.57147 3.90081 3.42298 0.0002574434 3.86139 349.004 0.024858 806.748 287.440 0.00009199968 0.00022683492 0.0000998735 0.0000913763 213282.884 204788.693 210648.988 6.63668 3.57587 3.41586 0.0002575979 3.89052 350.001 0.024929 806.157 287.282 0.00009154518 0.00022753254 0.0000995631 0.0000918280 212734.825 204295.265 210082.254 6.70205 3.25089 3.40893 0.0002577391 3.91681 351.012 0.025001 805.572 287.127 0.00009108249 0.00022823495 0.0000992403 0.0000922804 212194.019 203811.493 209523.386 6.76848 2.92132 3.40209 0.0002578687 3.94059 352.008 0.025072 805.010 286.981 0.00009062456 0.00022892259 0.0000989142 0.0000927209 211675.463 203350.755 208987.886 6.83412 2.59639 3.39554 0.0002579831 3.96120 353.005 0.025143 804.464 286.841 0.00009016507 0.00022960515 0.0000985805 0.0000931556 211171.522 202906.162 208467.858 6.89987 2.27156 3.38918 0.0002580842 3.97901 354.002 0.025214 803.932 286.707 0.00008970410 0.00023028257 0.0000982394 0.0000935845 210682.170 202477.657 207963.279 6.96572 1.94689 3.38301 0.0002581719 3.99401 355.013 0.025286 803.408 286.577 0.00008923520 0.00023096420 0.0000978858 0.0000940133 210200.803 202059.488 207467.343 7.03259 1.61785 3.37694 0.0002582471 4.00638 356.010 0.025357 802.906 286.456 0.00008877150 0.00023163103 0.0000975298 0.0000944299 209740.768 201663.217 206993.804 7.09859 1.29365 3.37115 0.0002583078 4.01577 357.007 0.025428 802.420 286.341 0.00008830657 0.00023229249 0.0000971666 0.0000948403 209295.254 201282.868 206535.640 7.16465 0.96976 3.36554 0.0002583550 4.02240 358.003 0.025499 801.948 286.231 0.00008784049 0.00023294851 0.0000967963 0.0000952444 208864.239 200918.389 206092.828 7.23075 0.64623 3.36013 0.0002583887 4.02627 359.000 0.025570 801.492 286.128 0.00008737335 0.00023359903 0.0000964191 0.0000956419 208447.701 200569.728 205665.345 7.29687 0.32311 3.35490 0.0002584090 4.02739 360.011 0.025642 801.045 286.030 0.00008689863 0.00023425300 0.0000960295 0.0000960382 208040.060 200232.259 205247.470 7.36392 -0.00410 3.34978 0.0002584157 4.02573 Engine speed (Hz) = 39.0000000000 Output power (W) = 157.0019782884 Heat into heater (W) = 287.1930585719 Heat to regenerator (W) = -0.1597592070 Heat removal from cooler (W) = 130.6415692702 Approximate Pumping loss (W) = -42.5598523547 Thermal efficiency (%) = 54.6677482628 The average engine pressure (Pa) = 272676.0794207614 The exp space work per cycle (J) = 7.3646994125 The comp space work per cycle (J) = -3.3390076615 The net work per cycle (J) = 4.0256917510 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.0536855367 The expansion work for Vmin-to-Vmax (J) = 26.0793772877 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 801.559 286.107 0.00008697837 0.00023409602 0.0000960338 0.0000960339 208355.329 200161.329 205427.547 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000070 801.129 286.016 0.00008650361 0.00023474354 0.0000956385 0.0000964223 207962.662 199842.569 205024.798 0.06670 -0.32616 -0.00493 0.0002584088 -0.00456 2.002 0.000139 800.719 285.932 0.00008603479 0.00023537611 0.0000952423 0.0000967983 207589.966 199544.061 204643.054 0.13244 -0.64712 -0.00960 0.0002583886 -0.01178 3.010 0.000209 800.319 285.852 0.00008555839 0.00023601200 0.0000948337 0.0000971726 207226.420 199257.104 204271.230 0.19908 -0.97213 -0.01415 0.0002583543 -0.02184 4.003 0.000278 799.940 285.780 0.00008508812 0.00023663297 0.0000944245 0.0000975345 206882.392 198989.849 203919.928 0.26472 -1.29187 -0.01844 0.0002583070 -0.03446 5.011 0.000348 799.571 285.713 0.00008461041 0.00023725695 0.0000940031 0.0000978944 206547.894 198734.505 203578.946 0.33124 -1.61553 -0.02261 0.0002582455 -0.04998 6.005 0.000417 799.223 285.653 0.00008413900 0.00023786603 0.0000935815 0.0000982418 206232.466 198498.323 203258.008 0.39672 -1.93385 -0.02654 0.0002581713 -0.06794 7.013 0.000487 798.885 285.598 0.00008366029 0.00023847780 0.0000931478 0.0000985867 205926.949 198274.414 202947.792 0.46305 -2.25598 -0.03034 0.0002580825 -0.08887 8.006 0.000556 798.568 285.550 0.00008318806 0.00023907471 0.0000927143 0.0000989192 205640.059 198069.135 202657.147 0.52832 -2.57267 -0.03389 0.0002579815 -0.11213 9.000 0.000625 798.266 285.507 0.00008271553 0.00023966547 0.0000922752 0.0000992441 205367.315 197879.136 202381.515 0.59345 -2.88850 -0.03726 0.0002578673 -0.13802 10.008 0.000695 797.975 285.470 0.00008223593 0.00024025845 0.0000918240 0.0000995658 205105.061 197701.958 202117.215 0.65936 -3.20796 -0.04050 0.0002577379 -0.16693 11.002 0.000764 797.704 285.439 0.00008176305 0.00024083661 0.0000913738 0.0000998752 204860.780 197542.628 201871.786 0.72417 -3.52189 -0.04350 0.0002575970 -0.19804 12.010 0.000834 797.445 285.414 0.00008128324 0.00024141666 0.0000909117 0.0001001810 204627.381 197396.491 201638.101 0.78973 -3.83933 -0.04636 0.0002574407 -0.23224 13.003 0.000903 797.205 285.395 0.00008081030 0.00024198194 0.0000904509 0.0001004745 204411.526 197267.688 201422.827 0.85415 -4.15117 -0.04899 0.0002572734 -0.26852 14.011 0.000973 796.977 285.382 0.00008033060 0.00024254877 0.0000899784 0.0001007640 204206.950 197152.452 201219.714 0.91928 -4.46639 -0.05147 0.0002570904 -0.30794 15.005 0.001042 796.768 285.374 0.00007985792 0.00024310088 0.0000895077 0.0001010411 204019.493 197054.046 201034.557 0.98324 -4.77596 -0.05374 0.0002568968 -0.34935 16.013 0.001112 796.573 285.373 0.00007937863 0.00024365419 0.0000890253 0.0001013139 203843.719 196969.587 200861.983 1.04788 -5.08878 -0.05585 0.0002566873 -0.39393 17.006 0.001181 796.395 285.377 0.00007890650 0.00024419284 0.0000885452 0.0001015745 203684.647 196901.459 200706.919 1.11132 -5.39587 -0.05775 0.0002564677 -0.44041 18.000 0.001250 796.234 285.387 0.00007843476 0.00024472468 0.0000880607 0.0001018267 203539.663 196848.322 200566.787 1.17447 -5.70167 -0.05946 0.0002562354 -0.48938 19.008 0.001320 796.086 285.402 0.00007795666 0.00024525722 0.0000875647 0.0001020740 203406.975 196809.705 200439.881 1.23823 -6.01054 -0.06101 0.0002559867 -0.54160 20.002 0.001389 795.955 285.424 0.00007748594 0.00024577516 0.0000870716 0.0001023091 203290.378 196786.690 200329.826 1.30075 -6.31359 -0.06236 0.0002557287 -0.59555 21.010 0.001459 795.839 285.451 0.00007700902 0.00024629342 0.0000865673 0.0001025388 203186.496 196778.586 200233.436 1.36384 -6.61957 -0.06354 0.0002554542 -0.65280 22.003 0.001528 795.741 285.484 0.00007653961 0.00024679714 0.0000860664 0.0001027566 203098.304 196785.603 200153.466 1.42567 -6.91968 -0.06452 0.0002551710 -0.71168 23.011 0.001598 795.657 285.522 0.00007606417 0.00024730083 0.0000855544 0.0001029686 203023.253 196807.926 200087.606 1.48802 -7.22258 -0.06532 0.0002548710 -0.77389 24.005 0.001667 795.590 285.566 0.00007559637 0.00024779001 0.0000850461 0.0001031687 202963.498 196844.896 200037.743 1.54908 -7.51957 -0.06593 0.0002545628 -0.83764 25.013 0.001737 795.539 285.616 0.00007512273 0.00024827880 0.0000845270 0.0001033627 202917.320 196897.570 200002.443 1.61061 -7.81919 -0.06637 0.0002542377 -0.90476 26.006 0.001806 795.504 285.671 0.00007465685 0.00024875314 0.0000840120 0.0001035450 202886.051 196964.426 199982.724 1.67083 -8.11285 -0.06661 0.0002539050 -0.97332 27.000 0.001875 795.484 285.732 0.00007419203 0.00024921999 0.0000834940 0.0001037183 202868.946 197046.095 199977.986 1.73062 -8.40479 -0.06666 0.0002535603 -1.04424 28.008 0.001945 795.481 285.799 0.00007372164 0.00024968586 0.0000829655 0.0001038849 202866.084 197144.070 199988.505 1.79080 -8.69916 -0.06654 0.0002531984 -1.11859 29.002 0.002014 795.494 285.870 0.00007325920 0.00025013737 0.0000824417 0.0001040400 202877.567 197255.540 200013.995 1.84964 -8.98749 -0.06622 0.0002528297 -1.19423 30.010 0.002084 795.523 285.949 0.00007279137 0.00025058752 0.0000819077 0.0001041880 202903.751 197383.725 200055.217 1.90882 -9.27808 -0.06572 0.0002524437 -1.27333 31.003 0.002153 795.568 286.031 0.00007233161 0.00025102335 0.0000813788 0.0001043247 202943.912 197524.953 200111.012 1.96665 -9.56260 -0.06504 0.0002520516 -1.35363 32.011 0.002223 795.630 286.120 0.00007186665 0.00025145742 0.0000808399 0.0001044540 202999.242 197683.307 200183.023 2.02477 -9.84923 -0.06416 0.0002516420 -1.43742 33.005 0.002292 795.707 286.214 0.00007140987 0.00025187722 0.0000803066 0.0001045722 203068.189 197854.257 200269.218 2.08152 -10.12974 -0.06310 0.0002512268 -1.52230 34.013 0.002362 795.801 286.314 0.00007094810 0.00025229485 0.0000797635 0.0001046826 203152.783 198042.749 200372.124 2.13850 -10.41220 -0.06184 0.0002507942 -1.61071 35.006 0.002431 795.910 286.419 0.00007049461 0.00025269828 0.0000792264 0.0001047821 203250.641 198243.393 200488.830 2.19409 -10.68850 -0.06042 0.0002503565 -1.70012 36.000 0.002500 796.035 286.529 0.00007004287 0.00025309343 0.0000786876 0.0001048722 203362.903 198458.769 200620.729 2.24908 -10.96262 -0.05880 0.0002499079 -1.79175 37.008 0.002570 796.179 286.645 0.00006958646 0.00025348577 0.0000781396 0.0001049541 203491.551 198692.316 200770.100 2.30423 -11.23846 -0.05697 0.0002494416 -1.88695 38.002 0.002639 796.337 286.766 0.00006913849 0.00025386399 0.0000775980 0.0001050253 203632.949 198937.358 200932.712 2.35796 -11.50807 -0.05499 0.0002489713 -1.98300 39.010 0.002709 796.513 286.893 0.00006868605 0.00025423895 0.0000770474 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290.106 0.00009779614 0.00021717917 0.0001031659 0.0000850536 222063.276 212600.771 219645.903 5.78970 7.78631 3.54443 0.0002545674 3.24904 337.003 0.023403 815.450 289.865 0.00009737432 0.00021793093 0.0001029656 0.0000855618 221325.412 211893.426 218876.730 5.85154 7.46760 3.53502 0.0002548754 3.31255 338.011 0.023473 814.678 289.628 0.00009694336 0.00021868978 0.0001027535 0.0000860737 220591.933 211193.167 218112.359 5.91459 7.14349 3.52567 0.0002551752 3.37402 339.005 0.023542 813.932 289.400 0.00009651566 0.00021943393 0.0001025356 0.0000865747 219883.782 210519.941 217374.623 5.97706 6.82330 3.51664 0.0002554583 3.43170 340.013 0.023612 813.189 289.175 0.00009607893 0.00022018487 0.0001023057 0.0000870789 219180.415 209854.174 216642.129 6.04072 6.49781 3.50768 0.0002557326 3.48726 341.006 0.023681 812.471 288.960 0.00009564575 0.00022092104 0.0001020704 0.0000875719 218501.913 209214.826 215935.792 6.10377 6.17639 3.49904 0.0002559904 3.53912 342.000 0.023750 811.766 288.752 0.00009520999 0.00022165311 0.0001018267 0.0000880607 217838.103 208592.204 215245.022 6.16707 5.85445 3.49059 0.0002562354 3.58811 343.008 0.023820 811.066 288.547 0.00009476538 0.00022239151 0.0001015708 0.0000885523 217179.666 207977.586 214560.134 6.23156 5.52736 3.48221 0.0002564711 3.63486 344.002 0.023889 810.390 288.351 0.00009432471 0.00022311506 0.0001013101 0.0000890323 216545.395 207388.472 213900.679 6.29537 5.20454 3.47415 0.0002566904 3.67807 345.010 0.023959 809.719 288.159 0.00009387531 0.00022384463 0.0001010371 0.0000895146 215916.884 206807.723 213247.525 6.36034 4.87668 3.46616 0.0002568998 3.71898 346.003 0.024028 809.072 287.976 0.00009343011 0.00022455931 0.0001007598 0.0000899852 215312.069 206251.870 212619.314 6.42460 4.55321 3.45847 0.0002570931 3.75643 347.011 0.024098 808.430 287.797 0.00009297629 0.00022527972 0.0001004702 0.0000904577 214713.397 205704.738 211997.816 6.48999 4.22481 3.45087 0.0002572760 3.79152 348.005 0.024167 807.812 287.626 0.00009252692 0.00022598520 0.0001001767 0.0000909184 214137.950 205181.900 211400.769 6.55464 3.90091 3.44356 0.0002574431 3.82326 349.013 0.024237 807.199 287.460 0.00009206907 0.00022669611 0.0000998707 0.0000913804 213569.026 204668.137 210810.844 6.62040 3.57219 3.43635 0.0002575992 3.85256 350.006 0.024306 806.610 287.302 0.00009161589 0.00022739206 0.0000995612 0.0000918306 213022.857 204178.070 210244.874 6.68539 3.24810 3.42942 0.0002577398 3.87861 351.000 0.024375 806.036 287.151 0.00009116096 0.00022808317 0.0000992440 0.0000922753 212491.187 203704.180 209694.298 6.75052 2.92398 3.42269 0.0002578673 3.90185 352.008 0.024445 805.468 287.003 0.00009069772 0.00022877927 0.0000989143 0.0000927207 211966.603 203239.895 209151.448 6.81673 2.59520 3.41605 0.0002579831 3.92256 353.002 0.024514 804.923 286.864 0.00009023951 0.00022946038 0.0000985818 0.0000931541 211464.071 202798.421 208631.812 6.88211 2.27120 3.40969 0.0002580838 3.94017 354.010 0.024584 804.386 286.730 0.00008977312 0.00023014619 0.0000982367 0.0000935877 210969.000 202366.902 208120.303 6.94854 1.94264 3.40343 0.0002581725 3.95519 355.003 0.024653 803.871 286.603 0.00008931197 0.00023081701 0.0000978892 0.0000940092 210495.513 201957.613 207631.513 7.01411 1.61897 3.39745 0.0002582464 3.96720 356.011 0.024723 803.363 286.481 0.00008884277 0.00023149222 0.0000975293 0.0000944305 210029.862 201558.631 207151.248 7.08071 1.29084 3.39158 0.0002583078 3.97657 357.005 0.024792 802.878 286.366 0.00008837902 0.00023215245 0.0000971673 0.0000948396 209585.329 201181.303 206693.208 7.14641 0.96770 3.38598 0.0002583549 3.98303 358.013 0.024862 802.402 286.257 0.00008790736 0.00023281676 0.0000967928 0.0000952481 209149.005 200814.636 206244.091 7.21310 0.64022 3.38048 0.0002583890 3.98678 359.006 0.024931 801.947 286.155 0.00008744135 0.00023346611 0.0000964167 0.0000956443 208733.337 200469.053 205816.708 7.27887 0.31782 3.37525 0.0002584090 3.98773 360.000 0.025000 801.507 286.058 0.00008697433 0.00023410994 0.0000960338 0.0000960339 208331.966 200139.153 205404.508 7.34464 -0.00415 3.37021 0.0002584157 3.98596 Engine speed (Hz) = 40.0000000000 Output power (W) = 159.4365953410 Heat into heater (W) = 293.7857016629 Heat to regenerator (W) = -0.1661279702 Heat removal from cooler (W) = 134.8084729883 Approximate Pumping loss (W) = -45.6556112029 Thermal efficiency (%) = 54.2696919688 The average engine pressure (Pa) = 272725.6131890193 The exp space work per cycle (J) = 7.3453784694 The comp space work per cycle (J) = -3.3594635859 The net work per cycle (J) = 3.9859148835 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.0762411001 The expansion work for Vmin-to-Vmax (J) = 26.0621559836 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.004 0.000000 802.025 286.134 0.00008704823 0.00023396009 0.0000960322 0.0000960356 208647.368 200060.343 205581.563 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000068 801.595 286.044 0.00008657507 0.00023460589 0.0000956385 0.0000964223 208255.718 199744.871 205179.099 0.06628 -0.32514 -0.00492 0.0002584088 -0.00470 2.012 0.000136 801.181 285.959 0.00008610103 0.00023524595 0.0000952382 0.0000968020 207878.549 199445.319 204792.065 0.13254 -0.64974 -0.00966 0.0002583883 -0.01216 3.001 0.000203 800.788 285.882 0.00008563317 0.00023587093 0.0000948373 0.0000971693 207521.072 199165.694 204425.792 0.19780 -0.96901 -0.01414 0.0002583547 -0.02218 4.004 0.000271 800.405 285.810 0.00008515761 0.00023649939 0.0000944241 0.0000975349 207172.598 198897.603 204069.327 0.26398 -1.29242 -0.01850 0.0002583070 -0.03507 5.008 0.000339 800.036 285.744 0.00008468142 0.00023712191 0.0000940044 0.0000978932 206838.552 198645.288 203728.230 0.33009 -1.61515 -0.02267 0.0002582457 -0.05067 6.012 0.000407 799.684 285.684 0.00008420466 0.00023773840 0.0000935786 0.0000982441 206518.915 198408.705 203402.483 0.39612 -1.93715 -0.02666 0.0002581708 -0.06898 7.001 0.000474 799.352 285.631 0.00008373444 0.00023833986 0.0000931531 0.0000985826 206218.059 198190.944 203096.522 0.46108 -2.25366 -0.03040 0.0002580836 -0.08965 8.004 0.000542 799.030 285.583 0.00008325681 0.00023894417 0.0000927153 0.0000989184 205926.989 197985.464 202801.199 0.52689 -2.57407 -0.03401 0.0002579817 -0.11329 9.008 0.000610 798.723 285.541 0.00008277885 0.00023954225 0.0000922717 0.0000992466 205650.286 197795.590 202521.175 0.59257 -2.89361 -0.03744 0.0002578663 -0.13959 10.012 0.000678 798.433 285.505 0.00008230065 0.00024013401 0.0000918224 0.0000995670 205387.940 197621.281 202256.439 0.65811 -3.21223 -0.04068 0.0002577374 -0.16856 11.001 0.000745 798.162 285.475 0.00008182932 0.00024071082 0.0000913743 0.0000998749 205143.483 197464.722 202010.533 0.72251 -3.52521 -0.04368 0.0002575972 -0.19967 12.004 0.000813 797.902 285.451 0.00008135088 0.00024128982 0.0000909142 0.0001001794 204909.608 197321.204 201776.106 0.78769 -3.84185 -0.04655 0.0002574416 -0.23386 13.008 0.000881 797.658 285.432 0.00008087242 0.00024186230 0.0000904487 0.0001004758 204690.063 197193.143 201556.931 0.85267 -4.15742 -0.04923 0.0002572726 -0.27067 14.012 0.000949 797.430 285.420 0.00008039403 0.00024242816 0.0000899782 0.0001007641 204484.840 197080.504 201352.998 0.91743 -4.47188 -0.05173 0.0002570903 -0.31007 15.000 0.001016 797.221 285.413 0.00007992283 0.00024297917 0.0000895097 0.0001010400 204296.638 196984.576 201166.964 0.98101 -4.78058 -0.05400 0.0002568977 -0.35143 16.004 0.001084 797.024 285.413 0.00007944481 0.00024353169 0.0000890295 0.0001013116 204119.837 196902.463 200993.271 1.04529 -5.09268 -0.05613 0.0002566891 -0.39596 17.008 0.001152 796.843 285.418 0.00007896710 0.00024407738 0.0000885445 0.0001015749 203957.348 196835.682 200834.802 1.10930 -5.40352 -0.05807 0.0002564674 -0.44305 18.012 0.001220 796.678 285.428 0.00007848976 0.00024461617 0.0000880550 0.0001018296 203809.171 196784.206 200691.554 1.17302 -5.71305 -0.05982 0.0002562326 -0.49268 19.000 0.001287 796.531 285.445 0.00007801989 0.00024514019 0.0000875684 0.0001020721 203677.174 196748.428 200565.299 1.23550 -6.01671 -0.06136 0.0002559886 -0.54406 20.004 0.001355 796.397 285.467 0.00007754354 0.00024566503 0.0000870704 0.0001023097 203557.418 196727.258 200452.270 1.29860 -6.32350 -0.06275 0.0002557281 -0.59870 21.008 0.001423 796.280 285.495 0.00007706780 0.00024618273 0.0000865682 0.0001025384 203451.985 196721.317 200354.463 1.36135 -6.62884 -0.06394 0.0002554547 -0.65585 22.011 0.001491 796.178 285.529 0.00007659274 0.00024669320 0.0000860622 0.0001027584 203360.882 196730.585 200271.885 1.42375 -6.93267 -0.06495 0.0002551686 -0.71548 23.000 0.001558 796.094 285.568 0.00007612543 0.00024718903 0.0000855599 0.0001029664 203285.142 196754.570 200205.420 1.48486 -7.23052 -0.06577 0.0002548743 -0.77665 24.004 0.001626 796.024 285.613 0.00007565197 0.00024768494 0.0000850465 0.0001031686 203222.516 196793.970 200153.093 1.54649 -7.53123 -0.06641 0.0002545631 -0.84118 25.008 0.001694 795.970 285.664 0.00007517943 0.00024817338 0.0000845296 0.0001033618 203174.252 196848.521 200116.018 1.60771 -7.83029 -0.06686 0.0002542394 -0.90815 26.011 0.001762 795.932 285.720 0.00007470789 0.00024865428 0.0000840094 0.0001035459 203140.365 196918.206 200094.206 1.66851 -8.12765 -0.06713 0.0002539033 -0.97754 27.000 0.001829 795.910 285.781 0.00007424433 0.00024912064 0.0000834938 0.0001037184 203121.055 197001.652 200087.658 1.72797 -8.41893 -0.06721 0.0002535602 -1.04827 28.004 0.001897 795.904 285.849 0.00007377500 0.00024958631 0.0000829675 0.0001038843 203115.764 197101.338 200096.192 1.78785 -8.71277 -0.06710 0.0002531998 -1.12244 29.008 0.001965 795.914 285.922 0.00007330690 0.00025004419 0.0000824385 0.0001040409 203124.908 197216.116 200120.039 1.84725 -9.00476 -0.06681 0.0002528274 -1.19899 30.011 0.002033 795.941 286.001 0.00007284010 0.00025049417 0.0000819067 0.0001041883 203148.510 197345.973 200159.218 1.90616 -9.29486 -0.06633 0.0002524430 -1.27789 31.000 0.002100 795.982 286.084 0.00007238153 0.00025092975 0.0000813803 0.0001043244 203185.931 197488.659 200212.839 1.96368 -9.57878 -0.06568 0.0002520527 -1.35794 32.004 0.002168 796.041 286.174 0.00007191757 0.00025136382 0.0000808438 0.0001044532 203238.316 197648.424 200282.526 2.02154 -9.86495 -0.06482 0.0002516450 -1.44149 33.008 0.002236 796.115 286.269 0.00007145514 0.00025178974 0.0000803050 0.0001045725 203305.244 197823.240 200367.620 2.07883 -10.14907 -0.06378 0.0002512256 -1.52736 34.011 0.002304 796.206 286.370 0.00007099435 0.00025220741 0.0000797643 0.0001046825 203386.748 198013.100 200468.149 2.13556 -10.43109 -0.06255 0.0002507948 -1.61553 35.000 0.002371 796.312 286.475 0.00007054199 0.00025261079 0.0000792297 0.0001047815 203481.344 198214.874 200582.329 2.19087 -10.70685 -0.06116 0.0002503592 -1.70463 36.004 0.002439 796.435 286.587 0.00007008465 0.00025301182 0.0000786855 0.0001048725 203591.893 198434.580 200713.600 2.24640 -10.98454 -0.05955 0.0002499060 -1.79731 37.008 0.002507 796.575 286.704 0.00006962917 0.00025340432 0.0000781398 0.0001049540 203717.132 198669.311 200860.410 2.30131 -11.25997 -0.05775 0.0002494418 -1.89224 38.011 0.002575 796.730 286.827 0.00006917564 0.00025378820 0.0000775927 0.0001050260 203857.104 198919.063 201022.797 2.35557 -11.53308 -0.05577 0.0002489666 -1.98939 39.000 0.002642 796.900 286.953 0.00006873076 0.00025415790 0.0000770525 0.0001050875 204009.473 199179.830 201198.072 2.40838 -11.79986 -0.05362 0.0002484879 -2.08728 40.004 0.002710 797.089 287.086 0.00006828132 0.00025452435 0.0000765032 0.0001051403 204178.834 199459.393 201391.511 2.46131 -12.06822 -0.05126 0.0002479916 -2.18881 41.008 0.002778 797.293 287.225 0.00006783408 0.00025488188 0.0000759531 0.0001051836 204363.074 199753.965 201600.659 2.51353 -12.33410 -0.04870 0.0002474847 -2.29252 42.011 0.002846 797.515 287.369 0.00006738910 0.00025523038 0.0000754023 0.0001052172 204562.248 200063.546 201825.567 2.56504 -12.59744 -0.04595 0.0002469675 -2.39838 43.000 0.002913 797.749 287.516 0.00006695298 0.00025556481 0.0000748592 0.0001052408 204773.154 200383.251 202062.631 2.61507 -12.85438 -0.04305 0.0002464480 -2.50478 44.004 0.002981 798.003 287.671 0.00006651276 0.00025589507 0.0000743076 0.0001052552 205002.149 200722.620 202318.983 2.66510 -13.11253 -0.03991 0.0002459108 -2.61487 45.008 0.003049 798.274 287.831 0.00006607507 0.00025621597 0.0000737558 0.0001052600 205246.257 201076.989 202591.257 2.71436 -13.36798 -0.03658 0.0002453638 -2.72707 46.011 0.003117 798.561 287.996 0.00006563998 0.00025652740 0.0000732040 0.0001052551 205505.547 201446.358 202879.516 2.76283 -13.62067 -0.03305 0.0002448071 -2.84134 47.000 0.003184 798.860 288.164 0.00006521393 0.00025682489 0.0000726605 0.0001052408 205775.938 201824.961 203179.231 2.80980 -13.86689 -0.02939 0.0002442494 -2.95596 48.004 0.003252 799.181 288.340 0.00006478428 0.00025711719 0.0000721093 0.0001052167 206065.577 202224.098 203499.414 2.85665 -14.11392 -0.02547 0.0002436740 -3.07431 49.008 0.003320 799.518 288.521 0.00006435749 0.00025739969 0.0000715585 0.0001051830 206370.614 202638.224 203835.780 2.90266 -14.35802 -0.02136 0.0002430895 -3.19469 50.011 0.003388 799.871 288.707 0.00006393367 0.00025767226 0.0000710084 0.0001051396 206691.132 203067.335 204188.401 2.94780 -14.59912 -0.01704 0.0002424960 -3.31707 51.000 0.003455 800.236 288.895 0.00006351905 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0.00009260369 0.00022583377 0.0001001778 0.0000909166 214437.158 205063.596 211574.828 6.53621 3.90665 3.46456 0.0002574424 3.78432 349.005 0.023645 807.670 287.482 0.00009214771 0.00022654226 0.0000998733 0.0000913767 213870.708 204553.560 210986.160 6.60151 3.57920 3.45736 0.0002575980 3.81338 350.008 0.023713 807.076 287.324 0.00009168983 0.00022724593 0.0000995607 0.0000918314 213319.006 204060.120 210413.195 6.66698 3.25166 3.45035 0.0002577401 3.83955 351.012 0.023781 806.496 287.171 0.00009123012 0.00022794469 0.0000992402 0.0000922806 212782.029 203583.212 209855.910 6.73260 2.92407 3.44353 0.0002578687 3.86286 352.001 0.023848 805.940 287.027 0.00009077547 0.00022862830 0.0000989167 0.0000927176 212267.329 203129.430 209322.134 6.79739 2.60132 3.43701 0.0002579823 3.88303 353.004 0.023916 805.390 286.887 0.00009031240 0.00022931710 0.0000985808 0.0000931553 211759.516 202685.167 208795.910 6.86326 2.27381 3.43057 0.0002580841 3.90067 354.008 0.023984 804.854 286.754 0.00008984777 0.00023000076 0.0000982372 0.0000935871 211266.359 202257.257 208285.297 6.92925 1.94642 3.42432 0.0002581724 3.91548 355.012 0.024052 804.334 286.626 0.00008938167 0.00023067921 0.0000978862 0.0000940128 210787.832 201845.644 207790.271 6.99533 1.61920 3.41827 0.0002582470 3.92745 356.001 0.024119 803.837 286.507 0.00008892107 0.00023134250 0.0000975330 0.0000944262 210330.631 201455.965 207317.746 7.06050 1.29701 3.41249 0.0002583073 3.93650 357.004 0.024187 803.346 286.392 0.00008845229 0.00023201038 0.0000971674 0.0000948395 209881.085 201076.533 206853.594 7.12672 0.97029 3.40681 0.0002583549 3.94289 358.008 0.024255 802.871 286.283 0.00008798231 0.00023267281 0.0000967946 0.0000952462 209446.101 200713.228 206404.958 7.19298 0.64390 3.40132 0.0002583888 3.94648 359.012 0.024323 802.412 286.181 0.00008751118 0.00023332973 0.0000964147 0.0000956464 209025.660 200365.997 205971.815 7.25927 0.31788 3.39602 0.0002584091 3.94729 360.001 0.024390 801.974 286.086 0.00008704596 0.00023397153 0.0000960336 0.0000960342 208625.603 200039.540 205560.174 7.32459 -0.00292 3.39098 0.0002584157 3.94537 Engine speed (Hz) = 41.0000000000 Output power (W) = 161.7580377836 Heat into heater (W) = 300.3083005956 Heat to regenerator (W) = -0.1199168280 Heat removal from cooler (W) = 139.0303785875 Approximate Pumping loss (W) = -48.8888848682 Thermal efficiency (%) = 53.8639915922 The average engine pressure (Pa) = 272773.8591880499 The exp space work per cycle (J) = 7.3258727273 The comp space work per cycle (J) = -3.3805547326 The net work per cycle (J) = 3.9453179947 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.0992312027 The expansion work for Vmin-to-Vmax (J) = 26.0445491974 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.005 0.000000 802.502 286.161 0.00008712128 0.00023381887 0.0000960319 0.0000960358 208947.225 199957.884 205740.471 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000066 802.074 286.072 0.00008665042 0.00023446203 0.0000956405 0.0000964204 208557.140 199646.073 205338.813 0.06576 -0.32364 -0.00491 0.0002584089 -0.00482 2.001 0.000132 801.662 285.989 0.00008617865 0.00023509956 0.0000952426 0.0000967980 208181.301 199350.019 204952.384 0.13150 -0.64678 -0.00964 0.0002583886 -0.01237 3.014 0.000199 801.259 285.911 0.00008569890 0.00023574091 0.0000948319 0.0000971742 207814.321 199065.544 204575.657 0.19821 -0.97424 -0.01425 0.0002583541 -0.02280 4.012 0.000265 800.877 285.840 0.00008522556 0.00023636688 0.0000944209 0.0000975376 207467.137 198801.092 204219.857 0.26388 -1.29621 -0.01860 0.0002583066 -0.03580 5.010 0.000331 800.510 285.775 0.00008475156 0.00023698699 0.0000940037 0.0000978939 207134.145 198552.252 203879.229 0.32948 -1.61753 -0.02277 0.0002582456 -0.05148 6.008 0.000397 800.159 285.716 0.00008427698 0.00023760118 0.0000935803 0.0000982428 206815.331 198318.979 203553.753 0.39501 -1.93814 -0.02675 0.0002581711 -0.06984 7.006 0.000463 799.823 285.663 0.00008380191 0.00023820938 0.0000931509 0.0000985843 206510.680 198101.230 203243.414 0.46044 -2.25801 -0.03055 0.0002580832 -0.09085 8.004 0.000529 799.502 285.616 0.00008332641 0.00023881151 0.0000927156 0.0000989182 206220.177 197898.962 202948.194 0.52576 -2.57707 -0.03416 0.0002579818 -0.11452 9.001 0.000595 799.196 285.575 0.00008285057 0.00023940751 0.0000922746 0.0000992445 205943.809 197712.135 202668.080 0.59095 -2.89529 -0.03758 0.0002578671 -0.14082 10.014 0.000662 798.902 285.539 0.00008236725 0.00024000619 0.0000918211 0.0000995679 205677.702 197538.230 202399.159 0.65698 -3.21741 -0.04087 0.0002577370 -0.17020 11.012 0.000728 798.627 285.510 0.00008189096 0.00024058960 0.0000913689 0.0000998785 205429.787 197382.400 202149.444 0.72187 -3.53378 -0.04393 0.0002575954 -0.20178 12.010 0.000794 798.368 285.487 0.00008141456 0.00024116665 0.0000909113 0.0001001812 205195.978 197241.896 201914.798 0.78657 -3.84915 -0.04680 0.0002574406 -0.23595 13.008 0.000860 798.124 285.470 0.00008093813 0.00024173727 0.0000904486 0.0001004759 204976.266 197116.684 201695.210 0.85108 -4.16348 -0.04949 0.0002572725 -0.27271 14.006 0.000926 797.895 285.458 0.00008046175 0.00024230139 0.0000899808 0.0001007625 204770.646 197006.730 201490.671 0.91538 -4.47672 -0.05199 0.0002570913 -0.31204 15.004 0.000992 797.683 285.452 0.00007998549 0.00024285893 0.0000895080 0.0001010409 204579.114 196912.001 201301.176 0.97945 -4.78883 -0.05431 0.0002568970 -0.35392 16.002 0.001058 797.485 285.452 0.00007950944 0.00024340982 0.0000890305 0.0001013111 204401.666 196832.469 201126.718 1.04327 -5.09975 -0.05644 0.0002566896 -0.39835 17.015 0.001125 797.301 285.458 0.00007902646 0.00024396217 0.0000885410 0.0001015767 204235.934 196767.243 200964.993 1.10780 -5.41413 -0.05842 0.0002564658 -0.44604 18.013 0.001191 797.135 285.470 0.00007855105 0.00024449943 0.0000880543 0.0001018300 204086.866 196718.245 200820.828 1.17107 -5.72252 -0.06018 0.0002562323 -0.49555 19.011 0.001257 796.985 285.487 0.00007807607 0.00024502980 0.0000875633 0.0001020746 203951.883 196684.358 200691.693 1.23405 -6.02958 -0.06176 0.0002559859 -0.54756 20.009 0.001323 796.850 285.511 0.00007760160 0.00024555321 0.0000870681 0.0001023108 203830.989 196665.558 200577.590 1.29671 -6.33526 -0.06316 0.0002557268 -0.60206 21.007 0.001389 796.731 285.539 0.00007712772 0.00024606959 0.0000865688 0.0001025382 203724.190 196661.821 200478.522 1.35904 -6.63952 -0.06437 0.0002554550 -0.65903 22.005 0.001455 796.627 285.574 0.00007665451 0.00024657885 0.0000860656 0.0001027569 203631.493 196673.127 200394.494 1.42102 -6.94231 -0.06540 0.0002551706 -0.71846 23.003 0.001521 796.540 285.614 0.00007618203 0.00024708091 0.0000855588 0.0001029668 203552.908 196699.453 200325.511 1.48263 -7.24357 -0.06624 0.0002548736 -0.78033 24.000 0.001587 796.468 285.660 0.00007571038 0.00024757570 0.0000850483 0.0001031679 203488.445 196740.780 200271.583 1.54385 -7.54326 -0.06690 0.0002545642 -0.84463 25.014 0.001654 796.411 285.712 0.00007523249 0.00024807046 0.0000845266 0.0001033629 203437.465 196798.059 200232.247 1.60559 -7.84584 -0.06738 0.0002542375 -0.91237 26.011 0.001720 796.370 285.769 0.00007476271 0.00024855034 0.0000840094 0.0001035459 203401.504 196869.562 200208.690 1.66599 -8.14221 -0.06767 0.0002539033 -0.98152 27.009 0.001786 796.346 285.832 0.00007429399 0.00024902270 0.0000834891 0.0001037199 203379.712 196956.016 200200.225 1.72594 -8.43687 -0.06777 0.0002535570 -1.05305 28.007 0.001852 796.338 285.900 0.00007382639 0.00024948745 0.0000829658 0.0001038848 203372.110 197057.406 200206.869 1.78544 -8.72975 -0.06769 0.0002531986 -1.12695 29.005 0.001918 796.345 285.974 0.00007335999 0.00024994450 0.0000824398 0.0001040405 203378.717 197173.718 200228.640 1.84447 -9.02082 -0.06743 0.0002528283 -1.20319 30.003 0.001984 796.368 286.053 0.00007289488 0.00025039378 0.0000819111 0.0001041871 203399.560 197304.942 200265.559 1.90300 -9.31002 -0.06698 0.0002524462 -1.28178 31.001 0.002050 796.407 286.138 0.00007243113 0.00025083518 0.0000813799 0.0001043245 203434.664 197451.064 200317.650 1.96102 -9.59729 -0.06634 0.0002520524 -1.36268 32.014 0.002117 796.463 286.230 0.00007196183 0.00025127514 0.0000808384 0.0001044544 203484.916 197614.630 200386.075 2.01939 -9.88691 -0.06550 0.0002516408 -1.44716 33.012 0.002183 796.534 286.325 0.00007150106 0.00025170042 0.0000803027 0.0001045730 203548.848 197790.748 200468.818 2.07633 -10.17016 -0.06449 0.0002512238 -1.53269 34.010 0.002249 796.622 286.427 0.00007104188 0.00025211755 0.0000797651 0.0001046823 203627.135 197981.738 200566.816 2.13271 -10.45133 -0.06329 0.0002507954 -1.62049 35.008 0.002315 796.725 286.533 0.00007058439 0.00025252645 0.0000792256 0.0001047822 203719.814 198187.592 200680.102 2.18850 -10.73039 -0.06190 0.0002503558 -1.71054 36.006 0.002381 796.844 286.645 0.00007012865 0.00025292703 0.0000786845 0.0001048727 203826.923 198408.303 200808.709 2.24370 -11.00726 -0.06033 0.0002499052 -1.80282 37.004 0.002447 796.980 286.763 0.00006967474 0.00025331917 0.0000781419 0.0001049537 203948.504 198643.867 200952.676 2.29828 -11.28190 -0.05857 0.0002494437 -1.89733 38.002 0.002513 797.131 286.886 0.00006922276 0.00025370280 0.0000775980 0.0001050253 204084.600 198894.278 201112.042 2.35222 -11.55425 -0.05662 0.0002489713 -1.99404 39.015 0.002580 797.302 287.016 0.00006876596 0.00025408342 0.0000770446 0.0001050883 204237.654 199163.663 201289.616 2.40632 -11.82834 -0.05445 0.0002484809 -2.09445 40.013 0.002646 797.486 287.150 0.00006831809 0.00025444957 0.0000764985 0.0001051407 204403.147 199443.978 201480.145 2.45892 -12.09592 -0.05212 0.0002479872 -2.19555 41.010 0.002712 797.686 287.289 0.00006787237 0.00025480689 0.0000759515 0.0001051837 204583.305 199739.126 201686.208 2.51085 -12.36106 -0.04960 0.0002474832 -2.29879 42.008 0.002778 797.902 287.433 0.00006742890 0.00025515528 0.0000754039 0.0001052171 204778.184 200049.104 201907.856 2.56206 -12.62369 -0.04688 0.0002469690 -2.40416 43.006 0.002844 798.135 287.582 0.00006698776 0.00025549464 0.0000748558 0.0001052409 204987.842 200373.909 202145.141 2.61255 -12.88377 -0.04398 0.0002464448 -2.51165 44.004 0.002910 798.384 287.737 0.00006654903 0.00025582485 0.0000743074 0.0001052552 205212.340 200713.538 202398.121 2.66229 -13.14122 -0.04089 0.0002459106 -2.62124 45.002 0.002976 798.649 287.897 0.00006611279 0.00025614581 0.0000737588 0.0001052600 205451.744 201067.986 202666.852 2.71128 -13.39600 -0.03760 0.0002453668 -2.73289 46.000 0.003042 798.931 288.062 0.00006567914 0.00025645741 0.0000732102 0.0001052552 205706.121 201437.250 202951.398 2.75948 -13.64806 -0.03412 0.0002448134 -2.84661 47.013 0.003109 799.234 288.235 0.00006524164 0.00025676403 0.0000726534 0.0001052406 205979.740 201827.261 203256.496 2.80760 -13.90107 -0.03039 0.0002442420 -2.96413 48.011 0.003175 799.548 288.411 0.00006481345 0.00025705641 0.0000721053 0.0001052165 206264.510 202226.370 203573.109 2.85419 -14.14745 -0.02651 0.0002436698 -3.08193 49.009 0.003241 799.880 288.591 0.00006438810 0.00025733908 0.0000715577 0.0001051829 206564.477 202640.282 203905.739 2.89994 -14.39091 -0.02244 0.0002430887 -3.20173 50.007 0.003307 800.227 288.777 0.00006396567 0.00025761192 0.0000710108 0.0001051398 206879.724 203068.992 204254.462 2.94484 -14.63140 -0.01818 0.0002424986 -3.32351 51.005 0.003373 800.592 288.968 0.00006354626 0.00025787480 0.0000704647 0.0001050872 207210.335 203512.492 204619.354 2.98888 -14.86887 -0.01371 0.0002418999 -3.44725 52.003 0.003439 800.972 289.164 0.00006312996 0.00025812761 0.0000699196 0.0001050250 207556.401 203970.775 205000.497 3.03203 -15.10324 -0.00905 0.0002412926 -3.57292 53.001 0.003505 801.370 289.365 0.00006271686 0.00025837021 0.0000693757 0.0001049534 207918.014 204443.831 205397.974 3.07428 -15.33446 -0.00419 0.0002406771 -3.70051 54.014 0.003572 801.790 289.574 0.00006230086 0.00025860592 0.0000688248 0.0001048710 208301.109 204939.155 205818.274 3.11623 -15.56589 0.00095 0.0002400439 -3.83198 55.012 0.003638 802.222 289.785 0.00006189448 0.00025882757 0.0000682838 0.0001047803 208694.352 205441.947 206248.942 3.15661 -15.79056 0.00622 0.0002394121 -3.96336 56.010 0.003704 802.669 290.001 0.00006149157 0.00025903861 0.0000677443 0.0001046802 209103.450 205959.474 206696.223 3.19603 -16.01188 0.01169 0.0002387726 -4.09661 57.007 0.003770 803.134 290.222 0.00006109223 0.00025923891 0.0000672067 0.0001045708 209528.512 206491.718 207160.219 3.23449 -16.22979 0.01737 0.0002381255 -4.23168 58.005 0.003836 803.616 290.448 0.00006069655 0.00025942834 0.0000666711 0.0001044520 209969.656 207038.660 207641.036 3.27195 -16.44422 0.02325 0.0002374711 -4.36855 59.003 0.003902 804.114 290.679 0.00006030464 0.00025960674 0.0000661377 0.0001043239 210427.003 207600.274 208138.785 3.30841 -16.65510 0.02934 0.0002368096 -4.50722 60.001 0.003968 804.630 290.915 0.00005991658 0.00025977397 0.0000656065 0.0001041865 210900.681 208176.533 208653.582 3.34385 -16.86235 0.03564 0.0002361410 -4.64764 61.014 0.004035 805.170 291.159 0.00005952670 0.00025993215 0.0000650699 0.0001040376 211398.378 208776.471 209193.744 3.37876 -17.06897 0.04224 0.0002354554 -4.79197 62.012 0.004101 805.720 291.404 0.00005914672 0.00026007640 0.0000645439 0.0001038816 211905.379 209382.140 209743.278 3.41209 -17.26872 0.04897 0.0002347735 -4.93588 63.010 0.004167 806.288 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0.00008711400 0.00023383714 0.0000960291 0.0000960387 208921.335 199933.829 205714.840 7.30498 -0.00637 3.41200 0.0002584157 3.90390 Engine speed (Hz) = 42.0000000000 Output power (W) = 163.9614650216 Heat into heater (W) = 306.8093040307 Heat to regenerator (W) = -0.2673711004 Heat removal from cooler (W) = 143.3041267072 Approximate Pumping loss (W) = -52.2644917610 Thermal efficiency (%) = 53.4408386146 The average engine pressure (Pa) = 272831.2967667697 The exp space work per cycle (J) = 7.3046891273 The comp space work per cycle (J) = -3.4008447220 The net work per cycle (J) = 3.9038444053 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.1226930652 The expansion work for Vmin-to-Vmax (J) = 26.0265374704 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.005 0.000000 802.989 286.188 0.00008719633 0.00023367401 0.0000960320 0.0000960357 209253.855 199853.130 205903.228 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.011 0.000065 802.558 286.099 0.00008672113 0.00023432354 0.0000956374 0.0000964234 208859.974 199540.699 205496.807 0.06615 -0.32669 -0.00497 0.0002584088 -0.00504 2.002 0.000129 802.148 286.017 0.00008625233 0.00023495752 0.0000952423 0.0000967983 208486.235 199248.744 205111.742 0.13128 -0.64788 -0.00968 0.0002583886 -0.01270 3.008 0.000194 801.747 285.940 0.00008577534 0.00023559570 0.0000948344 0.0000971720 208120.938 198968.092 204735.982 0.19739 -0.97354 -0.01428 0.0002583544 -0.02321 4.014 0.000259 801.361 285.869 0.00008529758 0.00023622803 0.0000944200 0.0000975384 207770.017 198703.378 204375.641 0.26346 -1.29860 -0.01869 0.0002583065 -0.03647 5.005 0.000323 800.997 285.806 0.00008482648 0.00023684487 0.0000940058 0.0000978921 207438.523 198458.262 204035.891 0.32846 -1.61804 -0.02284 0.0002582459 -0.05219 6.011 0.000388 800.641 285.747 0.00008434741 0.00023746541 0.0000935789 0.0000982439 207116.080 198225.037 203706.096 0.39440 -1.94177 -0.02688 0.0002581708 -0.07086 7.002 0.000452 800.307 285.695 0.00008387519 0.00023807048 0.0000931526 0.0000985829 206812.596 198010.837 203396.389 0.45924 -2.25980 -0.03067 0.0002580835 -0.09188 8.008 0.000517 799.982 285.649 0.00008339514 0.00023867892 0.0000927137 0.0000989196 206518.573 197808.924 203097.076 0.52497 -2.58201 -0.03433 0.0002579814 -0.11591 9.014 0.000582 799.673 285.608 0.00008291472 0.00023928116 0.0000922690 0.0000992486 206238.850 197622.724 202813.097 0.59059 -2.90337 -0.03780 0.0002578656 -0.14261 10.005 0.000646 799.384 285.574 0.00008244140 0.00023986799 0.0000918255 0.0000995648 205977.391 197454.701 202548.459 0.65505 -3.21892 -0.04104 0.0002577383 -0.17151 11.011 0.000711 799.106 285.546 0.00008196048 0.00024045769 0.0000913695 0.0000998781 205726.015 197299.567 202294.877 0.72036 -3.53846 -0.04414 0.0002575956 -0.20349 12.002 0.000775 798.847 285.523 0.00008148682 0.00024103204 0.0000909153 0.0001001786 205492.448 197162.056 202060.144 0.78450 -3.85212 -0.04701 0.0002574420 -0.23756 13.008 0.000840 798.600 285.507 0.00008100572 0.00024160890 0.0000904487 0.0001004758 205269.384 197037.838 201836.916 0.84944 -4.16964 -0.04974 0.0002572726 -0.27477 14.014 0.000905 798.368 285.496 0.00008052464 0.00024217918 0.0000899770 0.0001007648 205060.577 196929.144 201628.969 0.91418 -4.48607 -0.05229 0.0002570898 -0.31460 15.005 0.000969 798.155 285.491 0.00008005106 0.00024273418 0.0000895077 0.0001010411 204868.906 196837.259 201439.144 0.97769 -4.79652 -0.05461 0.0002568968 -0.35635 16.011 0.001034 797.955 285.492 0.00007957027 0.00024329117 0.0000890262 0.0001013135 204688.381 196759.280 201261.506 1.04195 -5.11064 -0.05678 0.0002566877 -0.40131 17.002 0.001098 797.772 285.499 0.00007909713 0.00024383294 0.0000885475 0.0001015733 204524.554 196697.576 201101.517 1.10497 -5.41872 -0.05874 0.0002564688 -0.44810 18.008 0.001163 797.603 285.511 0.00007861694 0.00024437633 0.0000880568 0.0001018287 204372.306 196650.192 200954.174 1.16869 -5.73033 -0.06054 0.0002562335 -0.49816 19.014 0.001228 797.449 285.530 0.00007813717 0.00024491276 0.0000875617 0.0001020754 204234.309 196618.181 200822.096 1.23211 -6.04060 -0.06216 0.0002559851 -0.55075 20.005 0.001292 797.314 285.554 0.00007766527 0.00024543404 0.0000870700 0.0001023098 204112.363 196601.659 200706.964 1.29425 -6.34475 -0.06357 0.0002557279 -0.60501 21.011 0.001357 797.191 285.584 0.00007718658 0.00024595640 0.0000865666 0.0001025392 204002.664 196600.085 200605.186 1.35702 -6.65222 -0.06481 0.0002554538 -0.66261 22.002 0.001421 797.087 285.619 0.00007671589 0.00024646368 0.0000860671 0.0001027563 203908.595 196613.485 200519.897 1.41849 -6.95351 -0.06585 0.0002551714 -0.72176 23.008 0.001486 796.996 285.660 0.00007623857 0.00024697164 0.0000855560 0.0001029679 203827.225 196642.256 200448.441 1.48055 -7.25798 -0.06673 0.0002548720 -0.78430 24.014 0.001551 796.921 285.707 0.00007576208 0.00024747223 0.0000850413 0.0001031706 203760.147 196686.286 200392.275 1.54222 -7.56087 -0.06742 0.0002545599 -0.84931 25.005 0.001615 796.863 285.760 0.00007529378 0.00024795783 0.0000845311 0.0001033612 203708.079 196744.529 200351.925 1.60254 -7.85749 -0.06791 0.0002542403 -0.91572 26.011 0.001680 796.820 285.818 0.00007481914 0.00024844353 0.0000840096 0.0001035458 203669.408 196818.787 200326.143 1.66339 -8.15708 -0.06822 0.0002539034 -0.98557 27.002 0.001744 796.793 285.881 0.00007435283 0.00024891431 0.0000834931 0.0001037186 203645.344 196906.760 200315.736 1.72287 -8.45035 -0.06835 0.0002535597 -1.05672 28.008 0.001809 796.781 285.951 0.00007388036 0.00024938478 0.0000829655 0.0001038849 203635.155 197011.181 200320.398 1.78282 -8.74644 -0.06830 0.0002531984 -1.13137 29.014 0.001874 796.786 286.026 0.00007340910 0.00024984745 0.0000824350 0.0001040419 203639.350 197130.778 200340.429 1.84229 -9.04068 -0.06805 0.0002528250 -1.20841 30.005 0.001938 796.806 286.106 0.00007294635 0.00025029528 0.0000819101 0.0001041874 203657.560 197263.351 200375.190 1.90036 -9.32854 -0.06762 0.0002524455 -1.28658 31.011 0.002003 796.843 286.192 0.00007247774 0.00025074219 0.0000813746 0.0001043258 203690.381 197413.030 200425.790 1.95883 -9.61897 -0.06701 0.0002520484 -1.36831 32.002 0.002067 796.895 286.283 0.00007201776 0.00025117433 0.0000808449 0.0001044529 203736.832 197575.199 200490.700 2.01588 -9.90299 -0.06621 0.0002516458 -1.45107 33.008 0.002132 796.963 286.381 0.00007155211 0.00025160511 0.0000803049 0.0001045726 203798.399 197754.917 200571.976 2.07327 -10.18940 -0.06522 0.0002512254 -1.53742 34.014 0.002197 797.048 286.484 0.00007108807 0.00025202763 0.0000797628 0.0001046828 203874.501 197949.756 200668.755 2.13010 -10.47371 -0.06403 0.0002507935 -1.62609 35.005 0.002261 797.147 286.591 0.00007063284 0.00025243548 0.0000792272 0.0001047819 203963.672 198156.363 200779.226 2.18547 -10.75154 -0.06268 0.0002503571 -1.71563 36.011 0.002326 797.264 286.705 0.00007017226 0.00025284131 0.0000786816 0.0001048731 204068.740 198381.189 200906.877 2.24111 -11.03152 -0.06112 0.0002499027 -1.80882 37.002 0.002390 797.395 286.822 0.00006972058 0.00025323253 0.0000781429 0.0001049536 204186.512 198617.307 201047.818 2.29528 -11.30498 -0.05940 0.0002494445 -1.90278 38.008 0.002455 797.545 286.947 0.00006926377 0.00025362127 0.0000775944 0.0001050257 204320.717 198872.092 201206.496 2.34966 -11.58040 -0.05746 0.0002489682 -2.00042 39.014 0.002520 797.710 287.078 0.00006880899 0.00025400125 0.0000770448 0.0001050883 204469.675 199141.964 201380.873 2.40337 -11.85345 -0.05532 0.0002484811 -2.10029 40.005 0.002584 797.889 287.211 0.00006836327 0.00025436672 0.0000765026 0.0001051404 204630.809 199422.419 201567.952 2.45560 -12.11993 -0.05303 0.0002479910 -2.20077 41.011 0.002649 798.087 287.352 0.00006791277 0.00025472899 0.0000759511 0.0001051837 204809.207 199722.217 201773.629 2.50795 -12.38809 -0.05052 0.0002474829 -2.30499 42.002 0.002713 798.299 287.496 0.00006747143 0.00025507682 0.0000754075 0.0001052169 204999.437 200032.129 201991.628 2.55880 -12.64965 -0.04785 0.0002469724 -2.40972 43.008 0.002778 798.529 287.648 0.00006702553 0.00025542097 0.0000748548 0.0001052410 205207.506 200361.835 202228.815 2.60971 -12.91271 -0.04495 0.0002464438 -2.51822 44.014 0.002843 798.777 287.805 0.00006658209 0.00025575582 0.0000743018 0.0001052553 205430.621 200706.604 202481.965 2.65986 -13.17311 -0.04185 0.0002459052 -2.62884 45.005 0.002907 799.036 287.965 0.00006614796 0.00025607632 0.0000737572 0.0001052600 205665.070 201060.781 202746.879 2.70850 -13.42684 -0.03861 0.0002453652 -2.73983 46.011 0.002972 799.317 288.132 0.00006570964 0.00025639238 0.0000732040 0.0001052551 205918.252 201435.430 203031.898 2.75711 -13.68178 -0.03513 0.0002448071 -2.85461 47.002 0.003036 799.609 288.302 0.00006528072 0.00025669414 0.0000726595 0.0001052408 206182.448 201819.017 203328.319 2.80418 -13.93003 -0.03150 0.0002442483 -2.96966 48.008 0.003101 799.922 288.480 0.00006484788 0.00025699093 0.0000721069 0.0001052166 206465.993 202223.525 203645.477 2.85116 -14.17928 -0.02762 0.0002436715 -3.08854 49.014 0.003166 800.252 288.663 0.00006441794 0.00025727784 0.0000715548 0.0001051827 206764.960 202643.068 203978.938 2.89731 -14.42556 -0.02354 0.0002430855 -3.20944 50.005 0.003230 800.593 288.849 0.00006399752 0.00025755055 0.0000710118 0.0001051399 207074.479 203070.839 204323.275 2.94190 -14.66511 -0.01933 0.0002424997 -3.33045 51.011 0.003295 800.956 289.042 0.00006357359 0.00025781746 0.0000704611 0.0001050868 207404.311 203520.199 204689.330 2.98631 -14.90533 -0.01485 0.0002418959 -3.45533 52.002 0.003359 801.330 289.238 0.00006315927 0.00025807024 0.0000699200 0.0001050251 207744.402 203977.311 205065.922 3.02917 -15.13878 -0.01024 0.0002412931 -3.58020 53.008 0.003424 801.727 289.441 0.00006274171 0.00025831665 0.0000693715 0.0001049528 208105.474 204456.448 205464.909 3.07178 -15.37269 -0.00536 0.0002406724 -3.70896 54.014 0.003489 802.141 289.650 0.00006232751 0.00025855252 0.0000688245 0.0001048709 208482.441 204950.570 205880.627 3.11346 -15.60332 -0.00028 0.0002400434 -3.83964 55.005 0.003553 802.565 289.860 0.00006192305 0.00025877435 0.0000682873 0.0001047809 208869.242 205451.717 206306.393 3.15357 -15.82712 0.00493 0.0002394162 -3.97018 56.011 0.003618 803.012 290.079 0.00006151578 0.00025898892 0.0000677434 0.0001046801 209278.076 205975.531 206755.612 3.19334 -16.05104 0.01043 0.0002387714 -4.10461 57.002 0.003682 803.469 290.299 0.00006111834 0.00025918949 0.0000672096 0.0001045714 209696.479 206505.876 207214.567 3.23154 -16.26811 0.01604 0.0002381291 -4.23880 58.008 0.003747 803.951 290.528 0.00006071840 0.00025938218 0.0000666696 0.0001044516 210137.649 207059.302 207697.712 3.26933 -16.48505 0.02195 0.0002374692 -4.37690 59.014 0.003812 804.449 290.761 0.00006032230 0.00025956363 0.0000661317 0.0001043224 210595.302 207627.609 208198.125 3.30610 -16.69837 0.02807 0.0002368021 -4.51682 60.005 0.003876 804.957 290.996 0.00005993614 0.00025973114 0.0000656044 0.0001041859 211062.152 208201.681 208707.833 3.34129 -16.90479 0.03431 0.0002361384 -4.65633 61.011 0.003941 805.490 291.239 0.00005954796 0.00025988981 0.0000650714 0.0001040380 211552.930 208799.423 209242.893 3.37598 -17.11070 0.04085 0.0002354574 -4.79978 62.002 0.004005 806.032 291.484 0.00005916980 0.00026003458 0.0000645492 0.0001038833 212052.681 209402.402 209786.977 3.40909 -17.30969 0.04751 0.0002347804 -4.94272 63.008 0.004070 806.600 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810.359 293.343 0.00005661710 0.00026071934 0.0000609405 0.0001025334 216073.366 214074.440 214141.556 3.61210 -18.60499 0.10078 0.0002298219 -6.00060 70.005 0.004522 811.041 293.623 0.00005627534 0.00026076559 0.0000604449 0.0001023075 216712.245 214790.402 214830.477 3.63613 -18.77097 0.10921 0.0002291004 -6.15626 71.011 0.004587 811.753 293.912 0.00005593340 0.00026079895 0.0000599456 0.0001020692 217379.924 215531.182 215549.827 3.65930 -18.93491 0.11801 0.0002283629 -6.31586 72.002 0.004651 812.472 294.201 0.00005560198 0.00026081796 0.0000594582 0.0001018261 218056.315 216273.591 216278.143 3.68086 -19.09162 0.12692 0.0002276324 -6.47443 73.008 0.004716 813.222 294.497 0.00005527092 0.00026082236 0.0000589676 0.0001015707 218763.331 217039.961 217039.654 3.70143 -19.24578 0.13623 0.0002268862 -6.63692 74.015 0.004781 813.991 294.799 0.00005494547 0.00026081445 0.0000584815 0.0001013066 219490.254 217822.280 217816.790 3.72080 -19.39531 0.14570 0.0002261361 -6.80082 75.005 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0.0000539420 292866.368 286456.267 292856.880 2.89851 22.58101 4.49741 0.0002185347 -5.87653 277.004 0.017894 882.428 315.883 0.00011342219 0.00017079293 0.0000985837 0.0000543683 291376.246 284795.170 291354.993 2.93130 22.46101 4.47903 0.0002193000 -5.65569 278.010 0.017959 881.125 315.289 0.00011338854 0.00017147966 0.0000989204 0.0000548073 289869.654 283116.922 289832.523 2.96500 22.33286 4.46041 0.0002200756 -5.43317 279.001 0.018023 879.843 314.707 0.00011334532 0.00017216438 0.0000992443 0.0000552451 288393.313 281473.626 288337.049 2.99857 22.20060 4.44211 0.0002208374 -5.21587 280.007 0.018088 878.543 314.118 0.00011329129 0.00017286808 0.0000995655 0.0000556955 286901.466 279814.428 286822.511 3.03309 22.06022 4.42359 0.0002216090 -4.99704 281.013 0.018153 877.246 313.533 0.00011322717 0.00017357975 0.0000998787 0.0000561514 285417.613 278165.589 285312.932 3.06803 21.91386 4.40512 0.0002223782 -4.78016 282.004 0.018217 875.971 312.960 0.00011315428 0.00017428790 0.0001001793 0.0000566057 283964.754 276552.736 283831.992 3.10285 21.76401 4.38700 0.0002231330 -4.56857 283.010 0.018282 874.678 312.382 0.00011307047 0.00017501431 0.0001004765 0.0000570723 282497.835 274925.962 282333.955 3.13865 21.60610 4.36868 0.0002238967 -4.35570 284.001 0.018346 873.409 311.816 0.00011297842 0.00017573629 0.0001007610 0.0000575367 281062.322 273335.798 280865.419 3.17435 21.44511 4.35071 0.0002246457 -4.14817 285.007 0.018411 872.124 311.245 0.00011287540 0.00017647607 0.0001010417 0.0000580133 279613.678 271733.016 279380.983 3.21105 21.27611 4.33255 0.0002254031 -3.93952 286.013 0.018476 870.842 310.679 0.00011276287 0.00017722211 0.0001013140 0.0000584949 278174.720 270143.013 277904.118 3.24822 21.10168 4.31449 0.0002261569 -3.73307 287.004 0.018540 869.584 310.126 0.00011264292 0.00017796247 0.0001015739 0.0000589736 276767.659 268590.379 276457.811 3.28528 20.92474 4.29680 0.0002268955 -3.53199 288.010 0.018605 868.311 309.568 0.00011251192 0.00017871997 0.0001018292 0.0000594643 275348.813 267027.007 274997.295 3.32339 20.73987 4.27893 0.0002276415 -3.33003 289.001 0.018669 867.062 309.024 0.00011237402 0.00017947101 0.0001020722 0.0000599517 273962.110 265501.382 273567.911 3.36140 20.55286 4.26144 0.0002283720 -3.13346 290.007 0.018734 865.799 308.476 0.00011222505 0.00018023877 0.0001023103 0.0000604510 272564.482 263966.197 272125.384 3.40049 20.35798 4.24380 0.0002291094 -2.93616 291.013 0.018799 864.541 307.934 0.00011206720 0.00018101126 0.0001025396 0.0000609545 271177.937 262445.755 270692.500 3.44008 20.15821 4.22627 0.0002298421 -2.74127 292.004 0.018863 863.309 307.405 0.00011190326 0.00018177621 0.0001027568 0.0000614540 269823.793 260963.432 269291.439 3.47955 19.95685 4.20913 0.0002305588 -2.55177 293.010 0.018928 862.062 306.873 0.00011172821 0.00018255723 0.0001029684 0.0000619651 268459.968 259473.216 267878.765 3.52015 19.74771 4.19185 0.0002312815 -2.36177 294.001 0.018992 860.842 306.355 0.00011154757 0.00018333004 0.0001031680 0.0000624719 267128.645 258021.242 266498.271 3.56064 19.53733 4.17496 0.0002319879 -2.17715 295.007 0.019057 859.608 305.834 0.00011135584 0.00018411851 0.0001033617 0.0000629900 265788.434 256562.410 265107.136 3.60227 19.31923 4.15794 0.0002326997 -1.99217 296.013 0.019122 858.382 305.319 0.00011115589 0.00018491034 0.0001035462 0.0000635115 264460.438 255119.785 263727.322 3.64443 19.09678 4.14106 0.0002334058 -1.80977 297.004 0.019186 857.181 304.817 0.00011095113 0.00018569301 0.0001037190 0.0000640281 263164.997 253715.419 262380.084 3.68646 18.87360 4.12458 0.0002340951 -1.63273 298.010 0.019251 855.969 304.314 0.00011073528 0.00018649074 0.0001038852 0.0000645557 261861.816 252305.646 261023.602 3.72967 18.64282 4.10799 0.0002347889 -1.45555 299.001 0.019315 854.783 303.825 0.00011051512 0.00018727872 0.0001040399 0.0000650779 260591.166 250934.042 259699.873 3.77275 18.41163 4.09179 0.0002354658 -1.28369 300.007 0.019380 853.586 303.334 0.00011028389 0.00018808136 0.0001041877 0.0000656110 259313.508 249557.930 258367.785 3.81703 18.17291 4.07550 0.0002361467 -1.11183 301.013 0.019445 852.398 302.849 0.00011004512 0.00018888611 0.0001043261 0.0000661466 258048.955 248199.046 257048.362 3.86185 17.93034 4.05936 0.0002368207 -0.94268 302.004 0.019509 851.236 302.377 0.00010980277 0.00018968033 0.0001044532 0.0000666762 256816.810 246878.054 255761.838 3.90651 17.68785 4.04362 0.0002374774 -0.77881 303.010 0.019574 850.064 301.905 0.00010954940 0.00019048860 0.0001045728 0.0000672163 255578.712 245553.816 254468.230 3.95242 17.43795 4.02779 0.0002381371 -0.61513 304.001 0.019638 848.919 301.446 0.00010929294 0.00019128583 0.0001046814 0.0000677501 254372.887 244267.205 253207.544 3.99814 17.18842 4.01237 0.0002387794 -0.45669 305.007 0.019703 847.765 300.987 0.00010902551 0.00019209674 0.0001047821 0.0000682940 253161.782 242978.131 251940.582 4.04513 16.93156 3.99687 0.0002394241 -0.29855 306.013 0.019768 846.620 300.534 0.00010875118 0.00019290866 0.0001048733 0.0000688396 251964.464 241706.938 250687.336 4.09265 16.67135 3.98154 0.0002400609 -0.14324 307.004 0.019832 845.502 300.095 0.00010847447 0.00019370887 0.0001049538 0.0000693783 250799.146 240472.866 249466.944 4.13998 16.41195 3.96661 0.0002406801 0.00690 308.010 0.019897 844.376 299.655 0.00010818685 0.00019452217 0.0001050259 0.0000699267 249629.519 239237.430 248241.439 4.18859 16.14535 3.95162 0.0002413007 0.15655 309.001 0.019961 843.277 299.229 0.00010789731 0.00019532336 0.0001050875 0.0000704679 248491.667 238038.714 247048.682 4.23698 15.87984 3.93703 0.0002419034 0.30109 310.007 0.020026 842.171 298.802 0.00010759691 0.00019613727 0.0001051405 0.0000710186 247350.124 236839.320 245851.548 4.28665 15.60721 3.92239 0.0002425071 0.44501 311.013 0.020091 841.075 298.382 0.00010729028 0.00019695121 0.0001051838 0.0000715700 246222.866 235658.170 244668.927 4.33687 15.33169 3.90792 0.0002431018 0.58604 312.004 0.020155 840.007 297.976 0.00010698238 0.00019775246 0.0001052169 0.0000721137 245126.984 234513.059 243518.807 4.38683 15.05767 3.89385 0.0002436787 0.72204 313.010 0.020220 838.932 297.570 0.00010666372 0.00019856589 0.0001052410 0.0000726664 244028.307 233368.235 242365.371 4.43811 14.77666 3.87974 0.0002442554 0.85726 314.001 0.020284 837.884 297.176 0.00010634423 0.00019936631 0.0001052552 0.0000732108 242960.706 232258.951 241244.221 4.48911 14.49740 3.86602 0.0002448141 0.98754 315.007 0.020349 836.831 296.784 0.00010601406 0.00020017854 0.0001052600 0.0000737640 241890.881 231150.560 240120.430 4.54142 14.21125 3.85228 0.0002453720 1.11692 316.013 0.020414 835.788 296.398 0.00010567826 0.00020098992 0.0001052551 0.0000743172 240835.683 230060.548 239011.729 4.59425 13.92263 3.83871 0.0002459202 1.24334 317.004 0.020478 834.773 296.025 0.00010534227 0.00020178782 0.0001052407 0.0000748616 239811.061 229005.266 237934.922 4.64677 13.63614 3.82554 0.0002464504 1.36492 318.010 0.020543 833.754 295.653 0.00010499569 0.00020259702 0.0001052165 0.0000754143 238785.042 227951.736 236856.442 4.70062 13.34288 3.81235 0.0002469788 1.48545 319.001 0.020607 832.761 295.293 0.00010464932 0.00020339246 0.0001051832 0.0000759579 237789.238 226932.366 235809.552 4.75413 13.05198 3.79954 0.0002474892 1.60121 320.007 0.020672 831.765 294.934 0.00010429244 0.00020419886 0.0001051398 0.0000765094 236792.569 225915.289 234761.608 4.80897 12.75441 3.78672 0.0002479972 1.71582 321.013 0.020737 830.780 294.583 0.00010393056 0.00020500363 0.0001050867 0.0000770600 235810.740 224916.555 233729.153 4.86430 12.45478 3.77409 0.0002484947 1.82743 322.004 0.020801 829.822 294.243 0.00010356945 0.00020579428 0.0001050249 0.0000776012 234858.546 223951.085 232727.775 4.91925 12.15784 3.76184 0.0002489741 1.93441 323.010 0.020866 828.862 293.905 0.00010319797 0.00020659538 0.0001049526 0.0000781496 233906.256 222988.680 231726.236 4.97553 11.85437 3.74959 0.0002494503 2.04008 324.001 0.020930 827.928 293.579 0.00010282765 0.00020738215 0.0001048721 0.0000786883 232983.193 222058.923 230755.399 5.03140 11.55379 3.73771 0.0002499084 2.14119 325.007 0.020995 826.992 293.255 0.00010244704 0.00020817904 0.0001047807 0.0000792339 232060.528 221132.722 229784.971 5.08861 11.24678 3.72584 0.0002503627 2.24090 326.013 0.021060 826.069 292.937 0.00010206200 0.00020897360 0.0001046798 0.0000797778 231152.815 220224.705 228830.281 5.14627 10.93809 3.71416 0.0002508056 2.33760 327.004 0.021124 825.172 292.631 0.00010167866 0.00020975355 0.0001045712 0.0000803115 230273.687 219348.383 227905.689 5.20347 10.63260 3.70285 0.0002512307 2.42988 328.010 0.021189 824.274 292.328 0.00010128516 0.00021054313 0.0001044514 0.0000808516 229395.680 218476.324 226982.332 5.26200 10.32081 3.69156 0.0002516509 2.52062 329.001 0.021253 823.402 292.035 0.00010089372 0.00021131792 0.0001043242 0.0000813812 228545.814 217635.315 226088.646 5.32004 10.01240 3.68062 0.0002520534 2.60703 330.007 0.021318 822.530 291.745 0.00010049221 0.00021210203 0.0001041856 0.0000819167 227697.534 216799.022 225196.724 5.37941 9.69780 3.66971 0.0002524504 2.69180 331.014 0.021383 821.671 291.461 0.00010008683 0.00021288320 0.0001040377 0.0000824498 226864.235 215980.671 224320.670 5.43918 9.38189 3.65900 0.0002528355 2.77357 332.004 0.021447 820.838 291.189 0.00009968400 0.00021364938 0.0001038829 0.0000829720 226058.392 215192.385 223473.611 5.49842 9.06962 3.64863 0.0002532029 2.85115 333.010 0.021512 820.005 290.919 0.00009927125 0.00021442440 0.0001037165 0.0000834995 225254.816 214409.474 222629.089 5.55897 8.75130 3.63830 0.0002535640 2.92697 334.001 0.021576 819.198 290.660 0.00009886138 0.00021518430 0.0001035436 0.0000840160 224478.228 213655.970 221813.095 5.61896 8.43679 3.62832 0.0002539077 2.99869 335.007 0.021641 818.392 290.403 0.00009844168 0.00021595272 0.0001033589 0.0000845375 223704.351 212908.265 221000.134 5.68024 8.11633 3.61838 0.0002542444 3.06856 336.014 0.021706 817.600 290.153 0.00009801864 0.00021671766 0.0001031651 0.0000850556 222945.422 212178.207 220203.080 5.74188 7.79489 3.60863 0.0002545687 3.13545 337.004 0.021770 816.833 289.914 0.00009759895 0.00021746733 0.0001029654 0.0000855623 222212.764 211476.561 219433.830 5.80291 7.47751 3.59922 0.0002548757 3.19839 338.010 0.021835 816.068 289.677 0.00009716958 0.00021822506 0.0001027536 0.0000860734 221483.468 210781.336 218668.339 5.86522 7.15432 3.58985 0.0002551750 3.25935 339.001 0.021899 815.328 289.451 0.00009674385 0.00021896744 0.0001025364 0.0000865728 220779.957 210113.863 217930.158 5.92688 6.83533 3.58082 0.0002554573 3.31647 340.007 0.021964 814.591 289.228 0.00009630855 0.00021971757 0.0001023070 0.0000870762 220080.232 209453.216 217196.208 5.98980 6.51064 3.57184 0.0002557312 3.37154 341.014 0.022029 813.867 289.011 0.00009587042 0.00022046373 0.0001020687 0.0000875754 219395.381 208809.894 216478.138 6.05303 6.18529 3.56306 0.0002559922 3.42365 342.004 0.022093 813.169 288.804 0.00009543634 0.00022119444 0.0001018256 0.0000880629 218735.582 208193.332 215786.617 6.11555 5.86435 3.55460 0.0002562365 3.47206 343.011 0.022158 812.474 288.601 0.00009499287 0.00022193243 0.0001015701 0.0000885535 218080.195 207584.195 215100.022 6.17932 5.53785 3.54620 0.0002564716 3.51830 344.001 0.022222 811.803 288.407 0.00009455373 0.00022265492 0.0001013102 0.0000890321 217449.366 207001.163 214439.465 6.24236 5.21591 3.53812 0.0002566903 3.56096 345.007 0.022287 811.136 288.216 0.00009410529 0.00022338440 0.0001010377 0.0000895136 216823.361 206425.950 213784.287 6.30662 4.88852 3.53010 0.0002568993 3.60137 346.014 0.022352 810.484 288.032 0.00009365450 0.00022410946 0.0001007569 0.0000899902 216212.128 205867.732 213144.913 6.37111 4.56075 3.52228 0.0002570951 3.63886 347.004 0.022416 809.855 287.858 0.00009320843 0.00022481896 0.0001004722 0.0000904545 215624.711 205334.640 212530.799 6.43482 4.23773 3.51477 0.0002572748 3.67291 348.011 0.022481 809.232 287.687 0.00009275324 0.00022553498 0.0001001749 0.0000909210 215042.728 204809.953 211922.735 6.49972 3.90941 3.50733 0.0002574440 3.70461 349.001 0.022545 808.632 287.525 0.00009230303 0.00022623542 0.0000998743 0.0000913752 214484.065 204309.750 211339.409 6.56381 3.58595 3.50020 0.0002575975 3.73298 350.007 0.022610 808.037 287.366 0.00009184380 0.00022694208 0.0000995609 0.0000918311 213931.240 203818.338 210762.572 6.62907 3.25730 3.49314 0.0002577400 3.75893 351.014 0.022675 807.457 287.215 0.00009138268 0.00022764390 0.0000992396 0.0000922814 213393.072 203343.596 210201.437 6.69449 2.92856 3.48628 0.0002578690 3.78199 352.004 0.022739 806.900 287.071 0.00009092689 0.00022833012 0.0000989155 0.0000927191 212877.480 202892.385 209664.256 6.75905 2.60484 3.47970 0.0002579827 3.80189 353.011 0.022804 806.350 286.932 0.00009046228 0.00022902210 0.0000985787 0.0000931580 212368.328 202450.542 209134.218 6.82474 2.27610 3.47322 0.0002580847 3.81926 354.001 0.022868 805.822 286.802 0.00009000322 0.00022969847 0.0000982396 0.0000935842 211881.261 202031.604 208627.612 6.88953 1.95248 3.46702 0.0002581718 3.83357 355.008 0.022933 805.301 286.675 0.00008953546 0.00023038030 0.0000978877 0.0000940110 211401.032 201622.418 208128.581 6.95544 1.62394 3.46092 0.0002582467 3.84528 356.014 0.022998 804.795 286.555 0.00008906624 0.00023105689 0.0000975284 0.0000944316 210935.343 201229.599 207645.140 7.02142 1.29558 3.45500 0.0002583080 3.85416 357.004 0.023062 804.311 286.443 0.00008860291 0.00023171788 0.0000971674 0.0000948395 210491.001 200858.756 207184.346 7.08646 0.97251 3.44937 0.0002583549 3.86014 358.011 0.023127 803.835 286.335 0.00008813106 0.00023238386 0.0000967936 0.0000952473 210054.099 200498.245 206731.776 7.15257 0.64467 3.44383 0.0002583889 3.86343 359.001 0.023191 803.381 286.236 0.00008766530 0.00023303426 0.0000964187 0.0000956423 209638.058 200159.105 206301.335 7.21770 0.32221 3.43856 0.0002584090 3.86392 360.008 0.023256 802.935 286.140 0.00008719117 0.00023368933 0.0000960309 0.0000960368 209229.856 199830.682 205879.548 7.28386 -0.00490 3.43340 0.0002584157 3.86166 Engine speed (Hz) = 43.0000000000 Output power (W) = 166.0488464800 Heat into heater (W) = 313.2061705296 Heat to regenerator (W) = -0.2107675301 Heat removal from cooler (W) = 147.6364147634 Approximate Pumping loss (W) = -55.7804225365 Thermal efficiency (%) = 53.0158285832 The average engine pressure (Pa) = 272881.0540509058 The exp space work per cycle (J) = 7.2842207825 The comp space work per cycle (J) = -3.4226197015 The net work per cycle (J) = 3.8616010809 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.1465186882 The expansion work for Vmin-to-Vmax (J) = 26.0081197691 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 803.487 286.215 0.00008727420 0.00023352436 0.0000960333 0.0000960344 209567.924 199746.649 206070.560 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.015 0.000064 803.052 286.126 0.00008679502 0.00023417983 0.0000956357 0.0000964250 209170.524 199433.805 205659.591 0.06649 -0.32951 -0.00503 0.0002584087 -0.00524 2.013 0.000127 802.639 286.044 0.00008632237 0.00023481945 0.0000952376 0.0000968026 208793.548 199141.769 205270.345 0.13194 -0.65340 -0.00979 0.0002583882 -0.01314 3.011 0.000190 802.241 285.969 0.00008584884 0.00023545345 0.0000948331 0.0000971731 208430.657 198865.478 204896.261 0.19736 -0.97678 -0.01437 0.0002583542 -0.02375 4.009 0.000253 801.858 285.899 0.00008537451 0.00023608174 0.0000944221 0.0000975366 208081.832 198604.883 204537.320 0.26275 -1.29958 -0.01876 0.0002583067 -0.03706 5.007 0.000316 801.490 285.836 0.00008489948 0.00023670426 0.0000940049 0.0000978929 207747.058 198359.935 204193.504 0.32808 -1.62178 -0.02296 0.0002582458 -0.05306 6.005 0.000379 801.138 285.779 0.00008442381 0.00023732093 0.0000935815 0.0000982418 207426.317 198130.590 203864.795 0.39334 -1.94331 -0.02698 0.0002581713 -0.07173 7.003 0.000442 800.800 285.727 0.00008394758 0.00023793168 0.0000931521 0.0000985833 207119.596 197916.802 203551.179 0.45851 -2.26412 -0.03082 0.0002580834 -0.09306 8.001 0.000505 800.477 285.682 0.00008347089 0.00023853644 0.0000927169 0.0000989173 206826.881 197718.528 203252.638 0.52358 -2.58417 -0.03447 0.0002579821 -0.11705 9.014 0.000569 800.164 285.642 0.00008298623 0.00023914458 0.0000922688 0.0000992487 206543.848 197532.950 202964.782 0.58956 -2.90846 -0.03799 0.0002578655 -0.14411 10.012 0.000632 799.872 285.609 0.00008250882 0.00023973703 0.0000918221 0.0000995672 206279.330 197365.825 202696.593 0.65437 -3.22683 -0.04127 0.0002577373 -0.17339 11.010 0.000695 799.595 285.581 0.00008203118 0.00024032326 0.0000913699 0.0000998779 206028.784 197214.092 202443.441 0.71903 -3.54428 -0.04437 0.0002575957 -0.20528 12.008 0.000758 799.333 285.560 0.00008155339 0.00024090320 0.0000909123 0.0001001806 205792.202 197077.715 202205.317 0.78352 -3.86077 -0.04728 0.0002574409 -0.23977 13.006 0.000821 799.086 285.544 0.00008107552 0.00024147677 0.0000904496 0.0001004753 205569.576 196956.657 201982.211 0.84782 -4.17625 -0.05001 0.0002572729 -0.27684 14.004 0.000884 798.855 285.534 0.00008059766 0.00024204390 0.0000899818 0.0001007619 205360.901 196850.883 201774.115 0.91192 -4.49067 -0.05256 0.0002570917 -0.31648 15.002 0.000947 798.639 285.530 0.00008011987 0.00024260451 0.0000895091 0.0001010403 205166.173 196760.361 201581.024 0.97580 -4.80399 -0.05492 0.0002568974 -0.35868 16.016 0.001011 798.435 285.532 0.00007963467 0.00024316726 0.0000890239 0.0001013147 204982.632 196683.986 201400.228 1.04045 -5.12110 -0.05713 0.0002566867 -0.40415 17.014 0.001074 798.250 285.540 0.00007915729 0.00024371450 0.0000885417 0.0001015764 204816.013 196624.115 201237.372 1.10383 -5.43204 -0.05912 0.0002564661 -0.45146 18.012 0.001137 798.080 285.553 0.00007868023 0.00024425499 0.0000880550 0.0001018296 204663.338 196579.405 201089.512 1.16694 -5.74173 -0.06093 0.0002562326 -0.50128 19.009 0.001200 797.926 285.572 0.00007820356 0.00024478866 0.0000875640 0.0001020743 204524.611 196549.829 200956.648 1.22975 -6.05011 -0.06256 0.0002559863 -0.55361 20.007 0.001263 797.787 285.597 0.00007772736 0.00024531541 0.0000870688 0.0001023104 204399.835 196535.360 200838.782 1.29226 -6.35715 -0.06400 0.0002557272 -0.60841 21.005 0.001326 797.664 285.628 0.00007725172 0.00024583518 0.0000865695 0.0001025379 204289.017 196535.974 200735.919 1.35445 -6.66278 -0.06526 0.0002554554 -0.66569 22.003 0.001389 797.556 285.664 0.00007677670 0.00024634788 0.0000860664 0.0001027566 204192.165 196551.649 200648.063 1.41629 -6.96696 -0.06633 0.0002551710 -0.72543 23.001 0.001452 797.464 285.706 0.00007630239 0.00024685344 0.0000855595 0.0001029665 204109.290 196582.362 200575.223 1.47778 -7.26965 -0.06722 0.0002548741 -0.78760 24.015 0.001516 797.386 285.755 0.00007582136 0.00024735961 0.0000850409 0.0001031707 204039.423 196628.941 200516.611 1.53985 -7.57555 -0.06794 0.0002545597 -0.85325 25.013 0.001579 797.325 285.808 0.00007534872 0.00024785050 0.0000845270 0.0001033627 203984.762 196689.909 200474.072 1.60055 -7.87506 -0.06846 0.0002542377 -0.92030 26.011 0.001642 797.280 285.867 0.00007487702 0.00024833399 0.0000840098 0.0001035458 203944.122 196765.858 200446.585 1.66084 -8.17292 -0.06880 0.0002539036 -0.98974 27.009 0.001705 797.250 285.932 0.00007440634 0.00024881000 0.0000834895 0.0001037198 203917.520 196856.771 200434.164 1.72070 -8.46907 -0.06895 0.0002535573 -1.06157 28.007 0.001768 797.236 286.002 0.00007393676 0.00024927843 0.0000829662 0.0001038847 203904.978 196962.632 200436.828 1.78011 -8.76348 -0.06892 0.0002531989 -1.13575 29.004 0.001831 797.237 286.077 0.00007346836 0.00024973921 0.0000824402 0.0001040404 203906.519 197083.427 200454.597 1.83906 -9.05609 -0.06870 0.0002528286 -1.21229 30.002 0.001894 797.255 286.159 0.00007300123 0.00025019223 0.0000819115 0.0001041870 203922.169 197219.143 200487.494 1.89751 -9.34684 -0.06830 0.0002524465 -1.29116 31.000 0.001957 797.288 286.245 0.00007253543 0.00025063742 0.0000813803 0.0001043244 203951.957 197369.767 200535.543 1.95547 -9.63568 -0.06771 0.0002520527 -1.37235 32.014 0.002021 797.338 286.339 0.00007206369 0.00025108155 0.0000808384 0.0001044544 203996.724 197538.036 200599.899 2.01381 -9.92711 -0.06692 0.0002516408 -1.45718 33.012 0.002084 797.403 286.437 0.00007160084 0.00025151066 0.0000803027 0.0001045730 204055.105 197718.679 200678.579 2.07070 -10.21195 -0.06596 0.0002512238 -1.54299 34.010 0.002147 797.484 286.540 0.00007113956 0.00025193164 0.0000797651 0.0001046823 204127.724 197914.200 200772.501 2.12703 -10.49474 -0.06481 0.0002507954 -1.63106 35.008 0.002210 797.580 286.649 0.00007067995 0.00025234442 0.0000792256 0.0001047822 204214.619 198124.588 200881.699 2.18278 -10.77540 -0.06348 0.0002503558 -1.72139 36.006 0.002273 797.693 286.763 0.00007022208 0.00025274888 0.0000786845 0.0001048727 204315.831 198349.836 201006.211 2.23794 -11.05390 -0.06195 0.0002499052 -1.81394 37.004 0.002336 797.821 286.882 0.00006976603 0.00025314492 0.0000781419 0.0001049537 204431.404 198589.936 201146.076 2.29249 -11.33017 -0.06024 0.0002494437 -1.90872 38.002 0.002399 797.966 287.007 0.00006931189 0.00025353246 0.0000775980 0.0001050253 204561.384 198844.881 201301.336 2.34642 -11.60416 -0.05834 0.0002489713 -2.00569 39.015 0.002463 798.129 287.140 0.00006885258 0.00025391733 0.0000770442 0.0001050883 204708.232 199119.067 201474.871 2.40053 -11.88011 -0.05622 0.0002484805 -2.10643 40.013 0.002526 798.306 287.275 0.00006840254 0.00025428740 0.0000764981 0.0001051408 204867.412 199403.919 201661.306 2.45313 -12.14935 -0.05394 0.0002479869 -2.20779 41.011 0.002589 798.499 287.416 0.00006795466 0.00025464865 0.0000759511 0.0001051837 205041.159 199703.598 201863.281 2.50504 -12.41613 -0.05147 0.0002474829 -2.31128 42.009 0.002652 798.708 287.562 0.00006750901 0.00025500097 0.0000754035 0.0001052171 205229.532 200018.098 202080.848 2.55625 -12.68041 -0.04881 0.0002469686 -2.41691 43.007 0.002715 798.933 287.714 0.00006706570 0.00025534424 0.0000748554 0.0001052409 205432.594 200347.413 202314.065 2.60674 -12.94214 -0.04595 0.0002464444 -2.52464 44.005 0.002778 799.174 287.870 0.00006662479 0.00025567837 0.0000743070 0.0001052552 205650.411 200691.539 202562.991 2.65649 -13.20124 -0.04291 0.0002459103 -2.63447 45.003 0.002841 799.432 288.032 0.00006618638 0.00025600323 0.0000737584 0.0001052600 205883.051 201050.468 202827.688 2.70548 -13.45767 -0.03967 0.0002453664 -2.74637 46.001 0.002904 799.706 288.199 0.00006575056 0.00025631872 0.0000732098 0.0001052552 206130.586 201424.196 203108.223 2.75371 -13.71136 -0.03624 0.0002448130 -2.86032 47.015 0.002968 800.000 288.374 0.00006531056 0.00025662948 0.0000726526 0.0001052405 206397.381 201819.001 203409.497 2.80188 -13.96622 -0.03255 0.0002442412 -2.97816 48.012 0.003031 800.307 288.552 0.00006488021 0.00025692571 0.0000721045 0.0001052165 206675.180 202222.539 203722.169 2.84848 -14.21422 -0.02873 0.0002436690 -3.09619 49.010 0.003094 800.630 288.734 0.00006445272 0.00025721219 0.0000715569 0.0001051829 206968.115 202640.853 204050.896 2.89426 -14.45930 -0.02471 0.0002430878 -3.21621 50.008 0.003157 800.970 288.922 0.00006402817 0.00025748881 0.0000710100 0.0001051397 207276.274 203073.935 204395.758 2.93919 -14.70140 -0.02049 0.0002424977 -3.33821 51.006 0.003220 801.326 289.115 0.00006360664 0.00025775545 0.0000704639 0.0001050871 207599.749 203521.773 204756.836 2.98325 -14.94046 -0.01607 0.0002418990 -3.46216 52.004 0.003283 801.698 289.313 0.00006318824 0.00025801197 0.0000699188 0.0001050249 207938.636 203984.358 205134.219 3.02644 -15.17642 -0.01145 0.0002412917 -3.58805 53.002 0.003346 802.088 289.516 0.00006277305 0.00025825824 0.0000693749 0.0001049533 208293.035 204461.675 205527.995 3.06872 -15.40921 -0.00664 0.0002406762 -3.71585 54.000 0.003409 802.493 289.723 0.00006236117 0.00025849414 0.0000688323 0.0001048722 208663.051 204953.709 205938.262 3.11008 -15.63876 -0.00162 0.0002400525 -3.84554 55.014 0.003473 802.923 289.940 0.00006194624 0.00025872300 0.0000682826 0.0001047801 209055.043 205468.606 206372.026 3.15115 -15.86858 0.00369 0.0002394107 -3.97920 56.012 0.003536 803.362 290.157 0.00006154132 0.00025893755 0.0000677432 0.0001046800 209456.880 205990.254 206815.840 3.19061 -16.09141 0.00912 0.0002387712 -4.11264 57.010 0.003599 803.819 290.380 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0.00017860956 0.0001018278 0.0000594615 275539.463 266911.946 275179.154 3.31685 20.71237 4.30078 0.0002276373 -3.36699 289.002 0.018245 867.395 309.062 0.00011240663 0.00017936408 0.0001020726 0.0000599525 274145.939 265372.671 273741.169 3.35498 20.52488 4.28319 0.0002283730 -3.16899 290.000 0.018308 866.146 308.518 0.00011226011 0.00018012356 0.0001023087 0.0000604476 272763.069 263847.656 272312.225 3.39359 20.33249 4.26571 0.0002291044 -2.97333 291.014 0.018372 864.882 307.970 0.00011210233 0.00018089989 0.0001025398 0.0000609548 271369.413 262313.392 270870.239 3.43332 20.13213 4.24807 0.0002298427 -2.77699 292.012 0.018435 863.644 307.436 0.00011193837 0.00018166852 0.0001027585 0.0000614580 270008.765 260818.152 269460.639 3.47292 19.93016 4.23083 0.0002305645 -2.58615 293.010 0.018498 862.411 306.907 0.00011176594 0.00018244126 0.0001029683 0.0000619649 268659.490 259338.153 268061.160 3.51302 19.72359 4.21371 0.0002312812 -2.39774 294.008 0.018561 861.185 306.384 0.00011158518 0.00018321785 0.0001031693 0.0000624754 267321.808 257873.679 266672.134 3.55363 19.51253 4.19672 0.0002319927 -2.21182 295.006 0.018624 859.965 305.867 0.00011139622 0.00018399803 0.0001033614 0.0000629893 265995.926 256424.998 265293.874 3.59475 19.29708 4.17986 0.0002326987 -2.02840 296.004 0.018687 858.752 305.355 0.00011119917 0.00018478154 0.0001035445 0.0000635065 264682.045 254992.361 263926.685 3.63638 19.07734 4.16313 0.0002333990 -1.84752 297.001 0.018750 857.546 304.849 0.00011099418 0.00018556813 0.0001037185 0.0000640268 263380.354 253575.997 262570.854 3.67853 18.85341 4.14655 0.0002340933 -1.66922 298.015 0.018814 856.329 304.341 0.00011077793 0.00018637010 0.0001038861 0.0000645583 262070.669 252154.038 261205.417 3.72188 18.62174 4.12984 0.0002347924 -1.49074 299.013 0.018877 855.138 303.847 0.00011055730 0.00018716214 0.0001040417 0.0000650844 260794.093 250771.120 259873.312 3.76509 18.38966 4.11355 0.0002354742 -1.31770 300.011 0.018940 853.954 303.359 0.00011032911 0.00018795654 0.0001041882 0.0000656131 259530.226 249405.077 258553.361 3.80882 18.15370 4.09740 0.0002361494 -1.14732 301.009 0.019003 852.779 302.877 0.00011009349 0.00018875304 0.0001043255 0.0000661443 258279.224 248056.076 257245.806 3.85308 17.91395 4.08140 0.0002368178 -0.97961 302.007 0.019066 851.612 302.401 0.00010985056 0.00018955144 0.0001044535 0.0000666778 257041.233 246724.272 255950.875 3.89787 17.67051 4.06556 0.0002374793 -0.81460 303.005 0.019129 850.453 301.932 0.00010960046 0.00019035151 0.0001045722 0.0000672134 255816.393 245409.803 254668.785 3.94319 17.42346 4.04988 0.0002381336 -0.65231 304.003 0.019192 849.303 301.469 0.00010934331 0.00019115303 0.0001046815 0.0000677510 254604.834 244112.797 253399.743 3.98905 17.17291 4.03435 0.0002387806 -0.49276 305.001 0.019255 848.162 301.013 0.00010907923 0.00019195578 0.0001047815 0.0000682905 253406.680 242833.368 252143.944 4.03544 16.91895 4.01899 0.0002394200 -0.33598 306.014 0.019319 847.012 300.556 0.00010880402 0.00019277234 0.0001048734 0.0000688402 252203.353 241551.733 250881.965 4.08311 16.65756 4.00355 0.0002400616 -0.17956 307.012 0.019382 845.889 300.113 0.00010852638 0.00019357697 0.0001049544 0.0000693828 251032.569 240308.033 249653.420 4.13057 16.39701 3.98853 0.0002406852 -0.02840 308.010 0.019445 844.776 299.676 0.00010824221 0.00019438223 0.0001050259 0.0000699267 249875.519 239082.183 248438.649 4.17857 16.13332 3.97366 0.0002413007 0.11994 309.008 0.019508 843.672 299.246 0.00010795162 0.00019518792 0.0001050879 0.0000704719 248732.299 237874.251 247237.809 4.22709 15.86659 3.95898 0.0002419078 0.26545 310.006 0.019571 842.579 298.823 0.00010765475 0.00019599386 0.0001051404 0.0000710180 247602.999 236684.296 246051.049 4.27615 15.59691 3.94446 0.0002425064 0.40811 311.004 0.019634 841.495 298.406 0.00010735172 0.00019679987 0.0001051834 0.0000715649 246487.702 235512.368 244878.506 4.32573 15.32436 3.93011 0.0002430963 0.54791 312.002 0.019697 840.422 297.996 0.00010704265 0.00019760575 0.0001052169 0.0000721125 245386.485 234358.507 243720.312 4.37583 15.04903 3.91595 0.0002436774 0.68485 313.016 0.019761 839.342 297.586 0.00010672261 0.00019842413 0.0001052411 0.0000726693 244282.278 233204.864 242558.552 4.42726 14.76657 3.90173 0.0002442585 0.82100 314.014 0.019824 838.290 297.189 0.00010640175 0.00019922925 0.0001052553 0.0000732178 243209.654 232087.515 241429.646 4.47841 14.48590 3.88792 0.0002448211 0.95211 315.012 0.019887 837.249 296.800 0.00010607521 0.00020003374 0.0001052600 0.0000737664 242151.309 230988.308 240315.434 4.53007 14.20271 3.87429 0.0002453744 1.08032 316.009 0.019950 836.218 296.417 0.00010574313 0.00020083743 0.0001052551 0.0000743150 241107.296 229907.251 239216.014 4.58224 13.91707 3.86084 0.0002459181 1.20561 317.007 0.020013 835.199 296.040 0.00010540562 0.00020164016 0.0001052407 0.0000748634 240077.667 228844.349 238131.479 4.63492 13.62908 3.84758 0.0002464521 1.32799 318.005 0.020076 834.190 295.671 0.00010506280 0.00020244178 0.0001052167 0.0000754115 239062.467 227799.597 237061.914 4.68809 13.33881 3.83449 0.0002469762 1.44744 319.003 0.020139 833.193 295.308 0.00010471479 0.00020324213 0.0001051831 0.0000759591 238061.735 226772.988 236007.397 4.74176 13.04634 3.82159 0.0002474903 1.56395 320.001 0.020202 832.208 294.952 0.00010436171 0.00020404106 0.0001051401 0.0000765061 237075.510 225764.506 234968.001 4.79591 12.75176 3.80888 0.0002479942 1.67752 321.015 0.020266 831.219 294.598 0.00010399795 0.00020485108 0.0001050866 0.0000770608 236088.516 224758.558 233927.657 4.85142 12.45040 3.79615 0.0002484954 1.78989 322.013 0.020329 830.257 294.256 0.00010363500 0.00020564673 0.0001050243 0.0000776059 235131.626 223786.554 232918.938 4.90654 12.15178 3.78381 0.0002489783 1.89752 323.011 0.020392 829.307 293.921 0.00010326733 0.00020644054 0.0001049526 0.0000781498 234189.327 222832.605 231925.522 4.96213 11.85127 3.77166 0.0002494505 2.00220 324.009 0.020455 828.370 293.592 0.00010289504 0.00020723238 0.0001048714 0.0000786924 233261.640 221896.677 230947.458 5.01817 11.54895 3.75969 0.0002499119 2.10393 325.007 0.020518 827.444 293.270 0.00010251826 0.00020802210 0.0001047808 0.0000792335 232348.583 220978.733 229984.790 5.07467 11.24489 3.74792 0.0002503623 2.20270 326.004 0.020581 826.531 292.955 0.00010213709 0.00020880959 0.0001046808 0.0000797729 231450.167 220078.733 229037.559 5.13162 10.93916 3.73633 0.0002508017 2.29851 327.002 0.020644 825.630 292.647 0.00010175165 0.00020959472 0.0001045714 0.0000803105 230566.406 219196.634 228105.798 5.18900 10.63184 3.72493 0.0002512299 2.39137 328.000 0.020707 824.742 292.346 0.00010136205 0.00021037736 0.0001044526 0.0000808462 229697.306 218332.389 227189.538 5.24682 10.32300 3.71372 0.0002516468 2.48126 329.014 0.020771 823.852 292.046 0.00010096210 0.00021116976 0.0001043224 0.0000813881 228829.429 217472.655 226274.633 5.30598 10.00776 3.70253 0.0002520585 2.56956 330.012 0.020834 822.989 291.759 0.00010056443 0.00021194703 0.0001041849 0.0000819192 227989.898 216644.249 225389.696 5.36462 9.69606 3.69171 0.0002524522 2.65349 331.010 0.020897 822.140 291.478 0.00010016292 0.00021272147 0.0001040382 0.0000824479 227165.036 215833.540 224520.328 5.42367 9.38305 3.68107 0.0002528341 2.73446 332.008 0.020960 821.303 291.203 0.00009975767 0.00021349295 0.0001038823 0.0000829739 226354.840 215040.473 223666.541 5.48312 9.06878 3.67063 0.0002532042 2.81248 333.006 0.021023 820.479 290.936 0.00009934880 0.00021426137 0.0001037173 0.0000834971 225559.306 214264.991 222828.349 5.54294 8.75334 3.66037 0.0002535624 2.88755 334.004 0.021086 819.668 290.675 0.00009893640 0.00021502663 0.0001035432 0.0000840173 224778.426 213507.033 222005.758 5.60313 8.43678 3.65031 0.0002539085 2.95967 335.002 0.021149 818.871 290.420 0.00009852058 0.00021578862 0.0001033600 0.0000845345 224012.193 212766.539 221198.774 5.66369 8.11917 3.64044 0.0002542425 3.02884 336.015 0.021213 818.074 290.169 0.00009809475 0.00021655924 0.0001031647 0.0000850565 223248.783 212032.109 220394.964 5.72556 7.79551 3.63060 0.0002545693 3.09610 337.013 0.021276 817.304 289.928 0.00009767234 0.00021731432 0.0001029635 0.0000855669 222512.041 211326.630 219619.446 5.78680 7.47598 3.62112 0.0002548785 3.15934 338.011 0.021339 816.547 289.694 0.00009724681 0.00021806582 0.0001027535 0.0000860737 221789.908 210638.425 218859.534 5.84838 7.15559 3.61182 0.0002551752 3.21966 339.009 0.021402 815.803 289.466 0.00009681825 0.00021881365 0.0001025346 0.0000865768 221082.370 209967.428 218115.223 5.91027 6.83440 3.60272 0.0002554595 3.27704 340.007 0.021465 815.074 289.245 0.00009638678 0.00021955771 0.0001023070 0.0000870760 220389.411 209313.576 217386.505 5.97246 6.51248 3.59380 0.0002557311 3.33151 341.005 0.021528 814.358 289.030 0.00009595249 0.00022029791 0.0001020708 0.0000875712 219711.011 208676.803 216673.372 6.03494 6.18988 3.58508 0.0002559900 3.38305 342.003 0.021591 813.656 288.822 0.00009551546 0.00022103416 0.0001018260 0.0000880621 219047.154 208057.041 215975.812 6.09771 5.86667 3.57654 0.0002562361 3.43169 343.001 0.021654 812.967 288.621 0.00009507581 0.00022176637 0.0001015726 0.0000885488 218397.818 207454.227 215293.813 6.16074 5.54289 3.56820 0.0002564694 3.47743 344.015 0.021718 812.282 288.423 0.00009462657 0.00022250596 0.0001013066 0.0000890385 217753.025 206859.127 214616.907 6.22503 5.21347 3.55992 0.0002566932 3.52092 345.012 0.021781 811.622 288.234 0.00009418190 0.00022322975 0.0001010363 0.0000895160 217132.903 206290.274 213966.232 6.28855 4.88875 3.55196 0.0002569003 3.56083 346.010 0.021844 810.976 288.052 0.00009373487 0.00022394923 0.0001007578 0.0000899886 216527.239 205738.168 213331.070 6.35231 4.56365 3.54419 0.0002570945 3.59785 347.008 0.021907 810.344 287.877 0.00009328559 0.00022466433 0.0001004711 0.0000904564 215936.011 205202.745 212711.405 6.41628 4.23822 3.53661 0.0002572755 3.63201 348.006 0.021970 809.727 287.707 0.00009283414 0.00022537495 0.0001001762 0.0000909190 215359.198 204683.939 212107.217 6.48045 3.91252 3.52922 0.0002574433 3.66329 349.004 0.022033 809.123 287.545 0.00009238062 0.00022608101 0.0000998734 0.0000913765 214796.775 204181.687 211518.486 6.54481 3.58660 3.52202 0.0002575979 3.69172 350.002 0.022096 808.534 287.388 0.00009192510 0.00022678244 0.0000995626 0.0000918286 214248.721 203695.923 210945.193 6.60934 3.26052 3.51500 0.0002577393 3.71731 351.000 0.022159 807.960 287.238 0.00009146770 0.00022747916 0.0000992440 0.0000922753 213715.010 203226.585 210387.316 6.67403 2.93434 3.50818 0.0002578673 3.74005 352.014 0.022223 807.391 287.092 0.00009100118 0.00022818202 0.0000989124 0.0000927232 213187.491 202766.553 209836.348 6.73990 2.60293 3.50144 0.0002579837 3.76026 353.012 0.022286 806.845 286.955 0.00009054021 0.00022886899 0.0000985784 0.0000931584 212682.626 202330.140 209309.483 6.80486 2.27669 3.49499 0.0002580848 3.77731 354.010 0.022349 806.314 286.824 0.00009007761 0.00022955100 0.0000982367 0.0000935877 212192.035 201909.966 208797.970 6.86995 1.95051 3.48874 0.0002581725 3.79156 355.008 0.022412 805.798 286.699 0.00008961347 0.00023022799 0.0000978877 0.0000940110 211715.694 201505.974 208301.786 6.93513 1.62444 3.48267 0.0002582467 3.80300 356.005 0.022475 805.296 286.581 0.00008914786 0.00023089987 0.0000975314 0.0000944281 211253.582 201118.103 207820.909 7.00040 1.29853 3.47678 0.0002583075 3.81166 357.003 0.022538 804.809 286.468 0.00008868088 0.00023156657 0.0000971678 0.0000948390 210805.676 200746.297 207355.317 7.06574 0.97283 3.47109 0.0002583548 3.81754 358.001 0.022601 804.336 286.362 0.00008821261 0.00023222802 0.0000967971 0.0000952435 210371.953 200390.499 206904.989 7.13114 0.64739 3.46558 0.0002583886 3.82065 359.015 0.022665 803.872 286.261 0.00008773566 0.00023289451 0.0000964134 0.0000956477 209945.848 200045.387 206463.119 7.19762 0.31711 3.46017 0.0002584092 3.82099 360.013 0.022728 803.429 286.167 0.00008726504 0.00023354513 0.0000960288 0.0000960389 209540.653 199721.692 206043.494 7.26308 -0.00765 3.45504 0.0002584157 3.81855 Engine speed (Hz) = 44.0000000000 Output power (W) = 168.0136928515 Heat into heater (W) = 319.5755217929 Heat to regenerator (W) = -0.3364845620 Heat removal from cooler (W) = 152.0218189396 Approximate Pumping loss (W) = -59.4430458031 Thermal efficiency (%) = 52.5740181566 The average engine pressure (Pa) = 272939.1728340609 The exp space work per cycle (J) = 7.2621822127 The comp space work per cycle (J) = -3.4436891934 The net work per cycle (J) = 3.8184930194 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.1708068950 The expansion work for Vmin-to-Vmax (J) = 25.9892999144 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000000 803.991 286.241 0.00008734926 0.00023337768 0.0000960310 0.0000960367 209884.635 199634.696 206237.529 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.012 0.000062 803.560 286.154 0.00008687411 0.00023402812 0.0000956371 0.0000964237 209490.408 199326.666 205828.882 0.06571 -0.32682 -0.00500 0.0002584088 -0.00536 2.016 0.000124 803.144 286.072 0.00008639796 0.00023467297 0.0000952365 0.0000968037 209110.392 199034.659 205435.588 0.13143 -0.65319 -0.00981 0.0002583882 -0.01348 3.004 0.000185 802.750 285.998 0.00008592860 0.00023530190 0.0000948359 0.0000971706 208750.357 198762.948 205063.602 0.19606 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303.385 0.00011037454 0.00018783051 0.0001041888 0.0000656152 259749.170 249251.102 258741.257 3.79980 18.13658 4.11962 0.0002361520 -1.18347 301.003 0.018580 853.167 302.907 0.00011014241 0.00018861762 0.0001043248 0.0000661412 258513.509 247913.899 257447.461 3.84343 17.89999 4.10380 0.0002368140 -1.01744 302.008 0.018642 851.996 302.427 0.00010989913 0.00018941957 0.0001044536 0.0000666782 257270.638 246572.151 256145.077 3.88831 17.65580 4.08786 0.0002374798 -0.85140 303.012 0.018704 850.833 301.954 0.00010964857 0.00019022324 0.0001045730 0.0000672173 256041.059 245248.061 254855.640 3.93373 17.40795 4.07209 0.0002381383 -0.68813 304.000 0.018765 849.698 301.495 0.00010939507 0.00019101543 0.0001046813 0.0000677497 254844.409 243962.684 253599.840 3.97893 17.16062 4.05673 0.0002387790 -0.53020 305.005 0.018827 848.553 301.035 0.00010913045 0.00019182188 0.0001047819 0.0000682926 253641.578 242673.990 252336.700 4.02541 16.90580 4.04128 0.0002394225 -0.37246 306.009 0.018889 847.417 300.581 0.00010885894 0.00019262942 0.0001048730 0.0000688372 252452.408 241403.297 251087.106 4.07243 16.64761 4.02599 0.0002400582 -0.21754 307.013 0.018951 846.290 300.135 0.00010858066 0.00019343783 0.0001049545 0.0000693834 251277.008 240150.694 249851.237 4.11999 16.38614 4.01087 0.0002406859 -0.06546 308.002 0.019012 845.191 299.701 0.00010830039 0.00019423387 0.0001050253 0.0000699220 250134.103 238936.028 248648.861 4.16730 16.12577 3.99616 0.0002412954 0.08138 309.006 0.019074 844.084 299.268 0.00010800907 0.00019504344 0.0001050878 0.0000704707 248986.317 237719.540 247440.715 4.21592 15.85806 3.98138 0.0002419065 0.22778 310.010 0.019136 842.987 298.841 0.00010771136 0.00019585329 0.0001051406 0.0000710203 247852.587 236521.349 246246.773 4.26507 15.58735 3.96678 0.0002425090 0.37130 311.015 0.019198 841.899 298.421 0.00010740739 0.00019666326 0.0001051838 0.0000715708 246732.995 235341.504 245067.178 4.31475 15.31372 3.95235 0.0002431027 0.51191 312.003 0.019259 840.840 298.014 0.00010710234 0.00019746008 0.0001052169 0.0000721131 245645.334 234198.630 243920.740 4.36414 15.04174 3.93832 0.0002436780 0.64742 313.007 0.019321 839.773 297.608 0.00010678632 0.00019826972 0.0001052410 0.0000726648 244554.014 233055.289 242769.996 4.41487 14.76257 3.92425 0.0002442537 0.78225 314.012 0.019383 838.717 297.208 0.00010646442 0.00019907893 0.0001052553 0.0000732168 243477.044 231930.387 241633.973 4.46612 14.48075 3.91035 0.0002448201 0.91414 315.000 0.019444 837.689 296.822 0.00010614209 0.00019987450 0.0001052600 0.0000737600 242431.509 230841.639 240530.746 4.51705 14.20097 3.89685 0.0002453681 1.04103 316.004 0.019506 836.655 296.436 0.00010580887 0.00020068236 0.0001052552 0.0000743122 241383.183 229753.356 239424.244 4.56932 13.91412 3.88332 0.0002459154 1.16708 317.009 0.019568 835.632 296.057 0.00010547013 0.00020148930 0.0001052406 0.0000748642 240349.371 228683.538 238332.769 4.62210 13.62487 3.86997 0.0002464529 1.29016 318.013 0.019630 834.620 295.685 0.00010512599 0.00020229515 0.0001052164 0.0000754159 239330.120 227632.179 237256.407 4.67539 13.33330 3.85680 0.0002469803 1.41028 319.001 0.019691 833.636 295.325 0.00010478225 0.00020308680 0.0001051832 0.0000759581 238341.557 226615.783 236212.234 4.72830 13.04423 3.84402 0.0002474894 1.52555 320.006 0.019753 832.647 294.967 0.00010442775 0.00020389005 0.0001051398 0.0000765086 237351.306 225601.007 235166.089 4.78257 12.74828 3.83123 0.0002479965 1.63976 321.010 0.019815 831.670 294.616 0.00010406820 0.00020469177 0.0001050868 0.0000770583 236375.723 224604.643 234135.280 4.83732 12.45024 3.81862 0.0002484931 1.75099 322.015 0.019877 830.705 294.271 0.00010370373 0.00020549181 0.0001050242 0.0000776069 235414.835 223626.663 233119.869 4.89256 12.15020 3.80620 0.0002489791 1.85922 323.003 0.019938 829.768 293.939 0.00010334044 0.00020627718 0.0001049532 0.0000781455 234483.811 222682.368 232135.918 4.94737 11.85310 3.79416 0.0002494468 1.96279 324.007 0.020000 828.826 293.608 0.00010296653 0.00020707348 0.0001048716 0.0000786916 233552.145 221740.763 231151.218 5.00354 11.54929 3.78211 0.0002499112 2.06508 325.012 0.020062 827.898 293.284 0.00010258804 0.00020786770 0.0001047803 0.0000792362 232635.235 220817.438 230182.068 5.06017 11.24370 3.77026 0.0002503646 2.16438 326.016 0.020124 826.981 292.967 0.00010220508 0.00020865970 0.0001046796 0.0000797792 231733.094 219912.350 229228.511 5.11725 10.93641 3.75859 0.0002508067 2.26068 327.004 0.020185 826.092 292.662 0.00010182404 0.00020943663 0.0001045712 0.0000803115 230859.928 219039.613 228305.586 5.17384 10.63247 3.74730 0.0002512307 2.35249 328.009 0.020247 825.200 292.358 0.00010143254 0.00021022385 0.0001044516 0.0000808506 229987.117 218170.565 227383.064 5.23179 10.32200 3.73602 0.0002516502 2.44284 329.013 0.020309 824.321 292.062 0.00010103690 0.00021100849 0.0001043226 0.0000813875 229129.096 217319.608 226476.228 5.29016 10.01003 3.72492 0.0002520581 2.53018 330.001 0.020370 823.469 291.777 0.00010064371 0.00021177782 0.0001041865 0.0000819135 228299.352 216499.978 225599.351 5.34801 9.70171 3.71420 0.0002524480 2.61319 331.006 0.020432 822.616 291.494 0.00010024019 0.00021255696 0.0001040389 0.0000824456 227470.679 215684.748 224723.701 5.40720 9.38699 3.70348 0.0002528325 2.69459 332.010 0.020494 821.776 291.218 0.00009983285 0.00021333316 0.0001038820 0.0000829750 226656.795 214887.440 223863.796 5.46679 9.07098 3.69296 0.0002532050 2.77299 333.014 0.020556 820.949 290.949 0.00009942180 0.00021410631 0.0001037158 0.0000835016 225857.696 214107.994 223019.647 5.52676 8.75376 3.68264 0.0002535654 2.84840 334.003 0.020617 820.149 290.690 0.00009901387 0.00021486391 0.0001035434 0.0000840168 225085.906 213358.491 222204.500 5.58614 8.44053 3.67267 0.0002539082 2.91968 335.007 0.020679 819.348 290.435 0.00009859578 0.00021563068 0.0001033590 0.0000845373 224316.113 212614.296 221391.635 5.64685 8.12108 3.66272 0.0002542443 2.98916 336.011 0.020741 818.561 290.186 0.00009817429 0.00021639409 0.0001031655 0.0000850545 223561.076 211887.775 220594.543 5.70792 7.80062 3.65297 0.0002545680 3.05566 337.016 0.020803 817.787 289.943 0.00009774952 0.00021715402 0.0001029630 0.0000855682 222820.783 211178.861 219813.227 5.76934 7.47919 3.64341 0.0002548792 3.11919 338.004 0.020864 817.040 289.711 0.00009732847 0.00021789820 0.0001027550 0.0000860701 222106.805 210498.501 219059.906 5.83008 7.16208 3.63420 0.0002551731 3.17878 339.008 0.020926 816.293 289.483 0.00009689746 0.00021865095 0.0001025348 0.0000865765 221395.717 209824.321 218309.875 5.89214 6.83895 3.62502 0.0002554593 3.23641 340.013 0.020988 815.560 289.260 0.00009646346 0.00021939992 0.0001023057 0.0000870789 220699.326 209167.549 217575.606 5.95452 6.51505 3.61604 0.0002557326 3.29108 341.001 0.021049 814.853 289.048 0.00009603363 0.00022013305 0.0001020718 0.0000875692 220028.493 208538.292 216868.554 6.01617 6.19568 3.60739 0.0002559890 3.34198 342.005 0.021111 814.148 288.839 0.00009559398 0.00022087426 0.0001018253 0.0000880634 219361.203 207915.853 216165.525 6.07912 5.87043 3.59879 0.0002562367 3.39079 343.010 0.021173 813.457 288.637 0.00009515163 0.00022161143 0.0001015703 0.0000885531 218708.553 207310.618 215478.225 6.14234 5.54460 3.59038 0.0002564715 3.43666 344.014 0.021235 812.779 288.441 0.00009470668 0.00022234447 0.0001013067 0.0000890384 218070.521 206722.519 214806.641 6.20582 5.21824 3.58217 0.0002566931 3.47959 345.002 0.021296 812.127 288.255 0.00009426646 0.00022306155 0.0001010391 0.0000895112 217457.025 206160.562 214161.212 6.26852 4.89668 3.57427 0.0002568983 3.51898 346.007 0.021358 811.478 288.072 0.00009381663 0.00022378611 0.0001007588 0.0000899869 216847.929 205606.256 213520.759 6.33247 4.56944 3.56644 0.0002570938 3.55611 347.011 0.021420 810.843 287.896 0.00009336448 0.00022450627 0.0001004702 0.0000904577 216253.384 205068.883 212895.973 6.39665 4.24185 3.55879 0.0002572760 3.59033 348.016 0.021482 810.222 287.726 0.00009291010 0.00022522194 0.0001001734 0.0000909234 215673.367 204548.376 212286.833 6.46103 3.91396 3.55134 0.0002574448 3.62165 349.004 0.021543 809.626 287.565 0.00009246096 0.00022592162 0.0000998735 0.0000913763 215116.861 204052.660 211702.771 6.52456 3.59113 3.54420 0.0002575979 3.64963 350.008 0.021605 809.034 287.408 0.00009200243 0.00022662815 0.0000995607 0.0000918314 214565.597 203565.417 211124.616 6.58931 3.26282 3.53713 0.0002577401 3.67522 351.013 0.021667 808.456 287.258 0.00009154195 0.00022732995 0.0000992399 0.0000922809 214028.789 203094.842 210562.048 6.65423 2.93438 3.53024 0.0002578688 3.69792 352.001 0.021728 807.902 287.116 0.00009108708 0.00022801573 0.0000989167 0.0000927176 213514.725 202648.063 210023.746 6.71824 2.61116 3.52366 0.0002579823 3.71747 353.005 0.021790 807.354 286.979 0.00009062299 0.00022870790 0.0000985805 0.0000931556 213006.527 202210.368 209492.037 6.78343 2.28263 3.51715 0.0002580842 3.73450 354.010 0.021852 806.820 286.847 0.00009015721 0.00022939510 0.0000982367 0.0000935877 212512.715 201789.152 208975.852 6.84875 1.95413 3.51084 0.0002581725 3.74868 355.014 0.021914 806.300 286.722 0.00008968984 0.00023007725 0.0000978854 0.0000940137 212033.264 201384.355 208475.167 6.91417 1.62571 3.50471 0.0002582472 3.76003 356.002 0.021975 805.804 286.606 0.00008922852 0.00023074339 0.0000975325 0.0000944268 211575.541 201002.050 207997.664 6.97863 1.30273 3.49887 0.0002583073 3.76844 357.007 0.022037 805.314 286.493 0.00008875823 0.00023141529 0.0000971666 0.0000948403 211124.514 200629.645 207527.664 7.04422 0.97464 3.49312 0.0002583550 3.77419 358.011 0.022099 804.839 286.387 0.00008828661 0.00023208191 0.0000967935 0.0000952474 210687.781 200273.481 207073.100 7.10987 0.64680 3.48756 0.0002583889 3.77714 359.015 0.022161 804.378 286.287 0.00008781372 0.00023274317 0.0000964133 0.0000956479 210265.320 199933.500 206633.950 7.17556 0.31926 3.48219 0.0002584092 3.77729 360.004 0.022222 803.940 286.195 0.00008734733 0.00023338846 0.0000960324 0.0000960353 209863.580 199614.742 206216.904 7.24022 -0.00266 3.47709 0.0002584157 3.77473 Engine speed (Hz) = 45.0000000000 Output power (W) = 169.8599821473 Heat into heater (W) = 325.8099276705 Heat to regenerator (W) = -0.1198172548 Heat removal from cooler (W) = 156.4689971173 Approximate Pumping loss (W) = -63.2482844834 Thermal efficiency (%) = 52.1346858157 The average engine pressure (Pa) = 272984.6307483430 The exp space work per cycle (J) = 7.2415618773 The comp space work per cycle (J) = -3.4668956074 The net work per cycle (J) = 3.7746662699 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.1954545603 The expansion work for Vmin-to-Vmax (J) = 25.9701208302 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.001 0.000000 804.510 286.268 0.00008743119 0.00023322065 0.0000960333 0.0000960344 210212.120 199523.751 206412.607 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.012 0.000061 804.076 286.181 0.00008695293 0.00023387586 0.0000956371 0.0000964237 209815.133 199215.828 206000.074 0.06592 -0.32904 -0.00505 0.0002584088 -0.00556 2.005 0.000121 803.665 286.101 0.00008648150 0.00023451487 0.0000952408 0.0000967996 209438.602 198928.785 205609.429 0.13076 -0.65227 -0.00983 0.0002583885 -0.01374 3.015 0.000182 803.261 286.026 0.00008600126 0.00023515889 0.0000948313 0.0000971747 209069.956 198653.003 205227.629 0.19667 -0.98040 -0.01450 0.0002583541 -0.02482 4.009 0.000242 802.879 285.958 0.00008552803 0.00023578673 0.0000944221 0.0000975366 208721.265 198397.474 204867.176 0.26147 -1.30262 -0.01891 0.0002583067 -0.03841 5.003 0.000302 802.511 285.897 0.00008505405 0.00023640892 0.0000940067 0.0000978913 208386.352 198157.497 204521.668 0.32622 -1.62427 -0.02313 0.0002582460 -0.05467 6.013 0.000363 802.153 285.840 0.00008457147 0.00023703562 0.0000935781 0.0000982445 208059.967 197929.417 204185.705 0.39198 -1.95065 -0.02724 0.0002581707 -0.07392 7.006 0.000423 801.815 285.791 0.00008409618 0.00023764620 0.0000931506 0.0000985845 207752.795 197720.666 203870.288 0.45659 -2.27100 -0.03110 0.0002580831 -0.09551 8.016 0.000484 801.487 285.746 0.00008361245 0.00023826094 0.0000927099 0.0000989225 207454.583 197524.240 203564.887 0.52218 -2.59595 -0.03484 0.0002579804 -0.12016 9.010 0.000544 801.179 285.709 0.00008313620 0.00023885961 0.0000922707 0.0000992473 207175.097 197346.536 203279.503 0.58659 -2.91479 -0.03833 0.0002578661 -0.14703 10.004 0.000604 800.886 285.677 0.00008265958 0.00023945226 0.0000918260 0.0000995645 206909.323 197184.165 203008.992 0.65087 -3.23282 -0.04164 0.0002577385 -0.17651 11.014 0.000665 800.603 285.651 0.00008217473 0.00024004855 0.0000913682 0.0000998790 206653.164 197034.766 202749.209 0.71607 -3.55526 -0.04481 0.0002575952 -0.20912 12.007 0.000725 800.340 285.631 0.00008169763 0.00024062883 0.0000909127 0.0001001804 206415.012 196903.199 202508.662 0.78004 -3.87149 -0.04776 0.0002574411 -0.24380 13.001 0.000785 800.091 285.617 0.00008122040 0.00024120288 0.0000904519 0.0001004738 206190.546 196786.851 202282.959 0.84383 -4.18675 -0.05052 0.0002572738 -0.28104 14.011 0.000846 799.854 285.609 0.00008073517 0.00024178001 0.0000899784 0.0001007640 205976.364 196684.129 202068.706 0.90849 -4.50623 -0.05314 0.0002570904 -0.32151 15.005 0.000906 799.636 285.607 0.00008025794 0.00024234123 0.0000895077 0.0001010411 205779.484 196598.368 201872.922 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841.259 298.032 0.00010716110 0.00019731638 0.0001052171 0.0000721161 245902.259 234032.268 244118.773 4.35317 15.02881 3.96086 0.0002436812 0.60983 313.002 0.018901 840.207 297.629 0.00010684953 0.00019811610 0.0001052408 0.0000726618 244825.451 232900.901 242980.766 4.40312 14.75334 3.94693 0.0002442507 0.74312 314.012 0.018962 839.149 297.227 0.00010652684 0.00019892877 0.0001052553 0.0000732170 243745.042 231769.256 241838.507 4.45442 14.47059 3.93296 0.0002448203 0.87570 315.006 0.019022 838.118 296.838 0.00010620374 0.00019972757 0.0001052600 0.0000737632 242696.514 230674.449 240729.553 4.50540 14.18992 3.91939 0.0002453712 1.00319 316.016 0.019083 837.081 296.449 0.00010586957 0.00020053896 0.0001052550 0.0000743185 241644.969 229579.993 239617.044 4.55774 13.90205 3.90578 0.0002459216 1.12984 317.010 0.019143 836.073 296.074 0.00010553541 0.00020133618 0.0001052406 0.0000748646 240624.932 228521.773 238537.548 4.60972 13.61651 3.89258 0.0002464532 1.25149 318.003 0.019203 835.075 295.706 0.00010519593 0.00020213239 0.0001052167 0.0000754103 239619.088 227481.687 237472.792 4.66219 13.32868 3.87955 0.0002469751 1.37024 319.013 0.019264 834.072 295.338 0.00010484548 0.00020294067 0.0001051828 0.0000759647 238611.071 226442.846 236405.481 4.71604 13.03378 3.86650 0.0002474954 1.48798 320.007 0.019324 833.097 294.983 0.00010449565 0.00020373439 0.0001051398 0.0000765092 237633.964 225439.292 235370.684 4.76949 12.74156 3.85384 0.0002479970 1.60084 321.000 0.019384 832.133 294.635 0.00010414086 0.00020452664 0.0001050874 0.0000770530 236671.152 224453.821 234350.847 4.82341 12.44728 3.84136 0.0002484884 1.71078 322.011 0.019445 831.166 294.288 0.00010377519 0.00020533047 0.0001050245 0.0000776047 235706.977 223470.435 233329.411 4.87872 12.14605 3.82887 0.0002489772 1.81955 323.004 0.019505 830.226 293.954 0.00010341073 0.00020611937 0.0001049531 0.0000781463 234773.071 222521.344 232339.923 4.93359 11.84784 3.81676 0.0002494474 1.92358 324.014 0.019566 829.282 293.621 0.00010303546 0.00020691951 0.0001048709 0.0000786955 233838.325 221574.875 231349.451 4.98983 11.54277 3.80465 0.0002499145 2.02634 325.008 0.019626 828.366 293.301 0.00010266180 0.00020770453 0.0001047807 0.0000792343 232933.402 220662.020 230390.516 5.04561 11.24092 3.79292 0.0002503630 2.12445 326.002 0.019686 827.462 292.987 0.00010228372 0.00020848742 0.0001046811 0.0000797714 232042.870 219767.070 229446.794 5.10183 10.93738 3.78137 0.0002508005 2.21963 327.012 0.019747 826.555 292.675 0.00010189495 0.00020928105 0.0001045703 0.0000803156 231152.259 218875.512 228502.978 5.15943 10.62712 3.76983 0.0002512339 2.31337 328.005 0.019807 825.676 292.375 0.00010150832 0.00021005929 0.0001044520 0.0000808489 230290.774 218016.528 227590.042 5.21652 10.32038 3.75866 0.0002516489 2.40262 329.016 0.019868 824.795 292.076 0.00010111107 0.00021084794 0.0001043222 0.0000813889 229429.705 217161.432 226677.584 5.27498 10.00701 3.74750 0.0002520591 2.49035 330.009 0.019928 823.941 291.790 0.00010071633 0.00021162104 0.0001041854 0.0000819177 228597.283 216338.205 225795.544 5.33290 9.69735 3.73671 0.0002524511 2.57368 331.003 0.019988 823.099 291.510 0.00010031772 0.00021239143 0.0001040393 0.0000824441 227779.271 215532.625 224928.856 5.39122 9.38634 3.72610 0.0002528314 2.65407 332.013 0.020049 822.257 291.232 0.00009990861 0.00021317175 0.0001038815 0.0000829765 226962.395 214731.650 224063.477 5.45090 9.06884 3.71552 0.0002532061 2.73279 333.006 0.020109 821.441 290.966 0.00009950251 0.00021393632 0.0001037172 0.0000834975 226173.432 213961.480 223227.792 5.51000 8.75532 3.70529 0.0002535626 2.80727 334.000 0.020169 820.638 290.707 0.00009909286 0.00021469784 0.0001035438 0.0000840155 225398.862 213208.778 222407.497 5.56946 8.44064 3.69526 0.0002539073 2.87881 335.010 0.020230 819.835 290.449 0.00009867283 0.00021546883 0.0001033584 0.0000845390 224626.128 212461.372 221589.314 5.63028 8.11961 3.68525 0.0002542454 2.94856 336.004 0.020290 819.058 290.203 0.00009825631 0.00021622390 0.0001031670 0.0000850506 223880.553 211743.704 220800.071 5.69045 7.80281 3.67560 0.0002545656 3.01421 337.014 0.020351 818.282 289.960 0.00009782952 0.00021698813 0.0001029634 0.0000855673 223137.273 211031.784 220013.461 5.75198 7.47975 3.66597 0.0002548787 3.07798 338.008 0.020411 817.532 289.727 0.00009740653 0.00021773634 0.0001027543 0.0000860719 222420.643 210348.886 219255.273 5.81283 7.16108 3.65670 0.0002551742 3.13776 339.001 0.020471 816.796 289.501 0.00009698049 0.00021848101 0.0001025364 0.0000865728 221718.341 209683.132 218512.480 5.87399 6.84157 3.64761 0.0002554573 3.19463 340.011 0.020532 816.060 289.277 0.00009654431 0.00021923436 0.0001023060 0.0000870782 221019.007 209023.786 217773.083 5.93648 6.51595 3.63857 0.0002557322 3.24948 341.005 0.020592 815.351 289.064 0.00009611239 0.00021997159 0.0001020708 0.0000875712 220345.551 208392.400 217061.315 5.99825 6.19494 3.62986 0.0002559900 3.30051 342.015 0.020653 814.643 288.855 0.00009567044 0.00022071719 0.0001018229 0.0000880681 219675.504 207767.857 216353.442 6.06133 5.86790 3.62120 0.0002562391 3.34943 343.009 0.020713 813.961 288.655 0.00009523304 0.00022144663 0.0001015706 0.0000885526 219030.815 207170.565 215672.661 6.12365 5.54563 3.61287 0.0002564712 3.39464 344.002 0.020773 813.292 288.461 0.00009479305 0.00022217205 0.0001013099 0.0000890327 218400.361 206590.079 215007.226 6.18622 5.22282 3.60473 0.0002566906 3.43698 345.012 0.020834 812.627 288.271 0.00009434319 0.00022290538 0.0001010363 0.0000895160 217773.969 206017.077 214346.418 6.25009 4.89413 3.59665 0.0002569003 3.47709 346.006 0.020894 811.986 288.091 0.00009389828 0.00022362247 0.0001007590 0.0000899866 217172.154 205470.278 213711.886 6.31314 4.57040 3.58888 0.0002570936 3.51366 347.016 0.020955 811.349 287.914 0.00009344360 0.00022434715 0.0001004688 0.0000904601 216574.833 204931.387 213082.462 6.37747 4.24089 3.58119 0.0002572768 3.54791 348.010 0.021015 810.736 287.747 0.00009299413 0.00022505557 0.0001001752 0.0000909207 216001.567 204418.006 212478.766 6.44095 3.91647 3.57380 0.0002574439 3.57874 349.003 0.021075 810.137 287.586 0.00009254255 0.00022575957 0.0000998736 0.0000913762 215442.422 203921.096 211890.333 6.50462 3.59180 3.56660 0.0002575978 3.60673 350.014 0.021136 809.543 287.428 0.00009208136 0.00022647068 0.0000995590 0.0000918338 214888.411 203432.724 211307.720 6.56953 3.26150 3.55947 0.0002577408 3.63229 351.007 0.021196 808.972 287.280 0.00009162576 0.00022716551 0.0000992417 0.0000922785 214357.673 202968.836 210750.009 6.63354 2.93647 3.55265 0.0002578682 3.65459 352.001 0.021256 808.416 287.138 0.00009116831 0.00022785567 0.0000989167 0.0000927176 213840.987 202521.228 210207.501 6.69771 2.61134 3.54602 0.0002579823 3.67409 353.011 0.021317 807.865 287.000 0.00009070142 0.00022855248 0.0000985786 0.0000931581 213330.069 202082.783 209671.515 6.76308 2.28075 3.53946 0.0002580847 3.69104 354.005 0.021377 807.337 286.871 0.00009024049 0.00022923300 0.0000982385 0.0000935856 212841.648 201667.815 209159.605 6.82750 1.95558 3.53320 0.0002581721 3.70491 355.015 0.021438 806.815 286.746 0.00008977024 0.00022991984 0.0000978852 0.0000940140 212359.418 201262.428 208654.684 6.89310 1.62507 3.52702 0.0002582472 3.71616 356.008 0.021498 806.316 286.629 0.00008930618 0.00023059040 0.0000975303 0.0000944293 211899.167 200879.855 208173.286 6.95773 1.30008 3.52113 0.0002583077 3.72444 357.002 0.021558 805.832 286.519 0.00008884069 0.00023125592 0.0000971683 0.0000948384 211452.852 200513.257 207706.986 7.02243 0.97527 3.51543 0.0002583548 3.72996 358.012 0.021619 805.354 286.412 0.00008836606 0.00023192727 0.0000967931 0.0000952478 211013.361 200156.867 207248.372 7.08827 0.64526 3.50982 0.0002583889 3.73277 359.006 0.021679 804.899 286.314 0.00008789795 0.00023258237 0.0000964170 0.0000956440 210595.082 199822.313 206812.458 7.15308 0.32094 3.50448 0.0002584090 3.73276 360.016 0.021740 804.451 286.221 0.00008742083 0.00023324298 0.0000960277 0.0000960401 210184.052 199498.388 206384.693 7.21901 -0.00846 3.49925 0.0002584157 3.72997 Engine speed (Hz) = 46.0000000000 Output power (W) = 171.5754956752 Heat into heater (W) = 332.0742611910 Heat to regenerator (W) = -0.3891894587 Heat removal from cooler (W) = 160.9655321147 Approximate Pumping loss (W) = -67.2081933552 Thermal efficiency (%) = 51.6678092002 The average engine pressure (Pa) = 273049.9933715187 The exp space work per cycle (J) = 7.2177175284 The comp space work per cycle (J) = -3.4878154485 The net work per cycle (J) = 3.7299020799 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.2206076376 The expansion work for Vmin-to-Vmax (J) = 25.9505097175 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.014 0.000001 805.030 286.293 0.00008750583 0.00023307277 0.0000960284 0.0000960393 210538.362 199404.473 206583.338 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.012 0.000060 804.601 286.207 0.00008703282 0.00023372124 0.0000956368 0.0000964239 210145.743 199102.170 206174.281 0.06497 -0.32551 -0.00500 0.0002584088 -0.00568 2.011 0.000119 804.188 286.128 0.00008655877 0.00023436429 0.0000952387 0.0000968016 209767.010 198815.741 205780.337 0.12995 -0.65061 -0.00982 0.0002583883 -0.01409 3.009 0.000178 803.789 286.055 0.00008608374 0.00023500182 0.0000948340 0.0000971724 209402.142 198545.134 205401.489 0.19491 -0.97526 -0.01446 0.0002583543 -0.02521 4.007 0.000237 803.404 285.987 0.00008560783 0.00023563377 0.0000944229 0.0000975360 209051.123 198290.298 205037.718 0.25985 -1.29940 -0.01891 0.0002583068 -0.03903 5.005 0.000296 803.035 285.926 0.00008513113 0.00023626006 0.0000940055 0.0000978923 208713.934 198051.184 204689.007 0.32475 -1.62298 -0.02317 0.0002582459 -0.05554 6.004 0.000355 802.680 285.871 0.00008465370 0.00023688062 0.0000935820 0.0000982414 208390.560 197827.744 204355.340 0.38959 -1.94596 -0.02726 0.0002581714 -0.07473 7.002 0.000414 802.340 285.822 0.00008417563 0.00023749536 0.0000931524 0.0000985830 208080.986 197619.932 204036.702 0.45435 -2.26828 -0.03115 0.0002580835 -0.09658 8.000 0.000473 802.014 285.779 0.00008369701 0.00023810423 0.0000927170 0.0000989171 207785.198 197427.703 203733.078 0.51902 -2.58990 -0.03487 0.0002579822 -0.12108 9.015 0.000533 801.699 285.742 0.00008320980 0.00023871730 0.0000922683 0.0000992491 207498.522 197248.153 203439.694 0.58468 -2.91619 -0.03846 0.0002578654 -0.14870 10.014 0.000592 801.403 285.711 0.00008273030 0.00023931406 0.0000918214 0.0000995676 207230.502 197087.224 203166.315 0.64913 -3.23623 -0.04180 0.0002577371 -0.17851 11.012 0.000651 801.123 285.686 0.00008225049 0.00023990471 0.0000913691 0.0000998784 206976.234 196941.752 202907.916 0.71343 -3.55541 -0.04496 0.0002575955 -0.21093 12.010 0.000710 800.857 285.667 0.00008177046 0.00024048917 0.0000909113 0.0001001812 206735.709 196811.698 202664.486 0.77757 -3.87368 -0.04794 0.0002574406 -0.24595 13.009 0.000769 800.607 285.654 0.00008129027 0.00024106736 0.0000904484 0.0001004760 206508.921 196697.024 202436.017 0.84154 -4.19099 -0.05073 0.0002572725 -0.28355 14.007 0.000828 800.371 285.647 0.00008081001 0.00024163921 0.0000899804 0.0001007627 206295.863 196597.695 202222.503 0.90532 -4.50730 -0.05335 0.0002570912 -0.32372 15.005 0.000887 800.151 285.645 0.00008032976 0.00024220463 0.0000895075 0.0001010412 206096.532 196513.676 202023.939 0.96889 -4.82255 -0.05578 0.0002568968 -0.36645 16.003 0.000946 799.945 285.650 0.00007984960 0.00024276356 0.0000890298 0.0001013115 205910.925 196444.934 201840.321 1.03223 -5.13669 -0.05802 0.0002566893 -0.41173 17.002 0.001005 799.755 285.660 0.00007936961 0.00024331590 0.0000885475 0.0001015733 205739.043 196391.438 201671.648 1.09533 -5.44968 -0.06009 0.0002564688 -0.45953 18.000 0.001064 799.579 285.676 0.00007888986 0.00024386159 0.0000880607 0.0001018267 205580.886 196353.158 201517.919 1.15818 -5.76146 -0.06197 0.0002562354 -0.50984 19.015 0.001124 799.417 285.699 0.00007840233 0.00024440961 0.0000875611 0.0001020757 205434.129 196329.804 201376.913 1.22180 -6.07723 -0.06369 0.0002559849 -0.56357 20.013 0.001183 799.272 285.727 0.00007792334 0.00024494161 0.0000870657 0.0001023118 205303.667 196322.127 201253.333 1.28407 -6.38643 -0.06520 0.0002557256 -0.61891 21.012 0.001242 799.142 285.760 0.00007744483 0.00024546671 0.0000865663 0.0001025393 205186.947 196329.583 201144.708 1.34602 -6.69426 -0.06653 0.0002554536 -0.67672 22.010 0.001301 799.028 285.799 0.00007696690 0.00024598482 0.0000860629 0.0001027581 205083.976 196352.149 201051.045 1.40765 -7.00068 -0.06768 0.0002551690 -0.73698 23.008 0.001360 798.929 285.844 0.00007648962 0.00024649586 0.0000855558 0.0001029680 204994.767 196389.800 200972.353 1.46893 -7.30564 -0.06864 0.0002548719 -0.79969 24.007 0.001419 798.845 285.895 0.00007601307 0.00024699973 0.0000850452 0.0001031691 204919.333 196442.514 200908.645 1.52984 -7.60909 -0.06942 0.0002545623 -0.86482 25.005 0.001478 798.776 285.951 0.00007553734 0.00024749636 0.0000845311 0.0001033612 204857.689 196510.272 200859.933 1.59037 -7.91097 -0.07001 0.0002542403 -0.93235 26.003 0.001537 798.723 286.013 0.00007506249 0.00024798566 0.0000840137 0.0001035444 204809.853 196593.053 200826.232 1.65049 -8.21124 -0.07043 0.0002539061 -1.00228 27.001 0.001596 798.685 286.081 0.00007458862 0.00024846754 0.0000834932 0.0001037185 204775.846 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835.520 295.721 0.00010526104 0.00020198039 0.0001052166 0.0000754133 239895.546 227313.463 237675.368 4.64834 13.32494 3.90247 0.0002469779 1.33140 319.007 0.018854 834.532 295.357 0.00010491565 0.00020277819 0.0001051830 0.0000759611 238901.916 226286.917 236620.678 4.70131 13.03410 3.88957 0.0002474921 1.44765 320.005 0.018913 833.555 295.000 0.00010456512 0.00020357471 0.0001051399 0.0000765082 237922.631 225278.717 235580.971 4.75476 12.74109 3.87685 0.0002479961 1.56096 321.003 0.018972 832.590 294.650 0.00010420955 0.00020436982 0.0001050872 0.0000770545 236957.719 224288.838 234556.315 4.80870 12.44598 3.86431 0.0002484898 1.67131 322.002 0.019031 831.637 294.307 0.00010384906 0.00020516336 0.0001050251 0.0000775998 236007.205 223317.251 233546.774 4.86310 12.14885 3.85196 0.0002489729 1.77871 323.017 0.019091 830.680 293.966 0.00010347753 0.00020596860 0.0001049521 0.0000781532 235055.371 222347.922 232535.681 4.91891 11.84468 3.83959 0.0002494533 1.88489 324.015 0.019150 829.750 293.637 0.00010310746 0.00020675857 0.0001048709 0.0000786959 234133.961 221413.122 231556.793 4.97425 11.54368 3.82762 0.0002499148 1.98631 325.013 0.019209 828.833 293.314 0.00010273281 0.00020754658 0.0001047802 0.0000792372 233227.004 220496.502 230593.175 5.03005 11.24089 3.81583 0.0002503654 2.08476 326.012 0.019268 827.927 292.999 0.00010235368 0.00020833249 0.0001046800 0.0000797768 232334.513 219598.015 229644.869 5.08629 10.93637 3.80423 0.0002508049 2.18024 327.010 0.019327 827.034 292.691 0.00010197019 0.00020911618 0.0001045705 0.0000803146 231456.494 218717.613 228711.913 5.14297 10.63019 3.79282 0.0002512331 2.27276 328.008 0.019386 826.153 292.389 0.00010158244 0.00020989753 0.0001044516 0.0000808504 230592.955 217855.246 227794.338 5.20007 10.32242 3.78159 0.0002516501 2.36231 329.007 0.019445 825.285 292.094 0.00010119055 0.00021067641 0.0001043234 0.0000813841 229743.898 217010.860 226892.173 5.25760 10.01313 3.77056 0.0002520555 2.44889 330.005 0.019504 824.429 291.806 0.00010079461 0.00021145272 0.0001041860 0.0000819154 228909.323 216184.398 226005.442 5.31554 9.70239 3.75971 0.0002524494 2.53250 331.003 0.019563 823.586 291.525 0.00010039475 0.00021222633 0.0001040393 0.0000824442 228089.229 215375.803 225134.166 5.37389 9.39027 3.74905 0.0002528315 2.61315 332.001 0.019622 822.756 291.251 0.00009999105 0.00021299713 0.0001038834 0.0000829705 227283.611 214585.015 224278.361 5.43262 9.07683 3.73858 0.0002532018 2.69083 333.017 0.019682 821.925 290.979 0.00009957668 0.00021377801 0.0001037155 0.0000835027 226479.177 213799.021 223423.932 5.49275 8.75681 3.72813 0.0002535662 2.76680 334.015 0.019741 821.121 290.718 0.00009916557 0.00021454282 0.0001035412 0.0000840232 225702.735 213043.957 222599.369 5.55225 8.44092 3.71804 0.0002539123 2.83851 335.013 0.019800 820.330 290.464 0.00009875094 0.00021530450 0.0001033578 0.0000845405 224940.744 212306.508 221790.308 5.61211 8.12391 3.70814 0.0002542463 2.90728 336.011 0.019859 819.552 290.217 0.00009833290 0.00021606295 0.0001031655 0.0000850545 224193.192 211586.609 220996.753 5.67233 7.80585 3.69844 0.0002545680 2.97309 337.010 0.019918 818.787 289.977 0.00009791153 0.00021681807 0.0001029643 0.0000855651 223460.066 210884.193 220218.706 5.73289 7.48680 3.68892 0.0002548774 3.03595 338.008 0.019977 818.035 289.743 0.00009748695 0.00021756975 0.0001027542 0.0000860721 222741.350 210199.191 219456.166 5.79379 7.16682 3.67959 0.0002551743 3.09588 339.006 0.020036 817.297 289.516 0.00009705925 0.00021831790 0.0001025353 0.0000865754 222037.028 209531.537 218709.129 5.85500 6.84598 3.67045 0.0002554587 3.15287 340.005 0.020095 816.572 289.296 0.00009662852 0.00021906242 0.0001023076 0.0000870748 221347.083 208881.161 217977.590 5.91652 6.52433 3.66150 0.0002557304 3.20693 341.003 0.020154 815.861 289.082 0.00009619487 0.00021980323 0.0001020713 0.0000875701 220671.495 208247.994 217261.540 5.97834 6.20193 3.65274 0.0002559894 3.25806 342.001 0.020213 815.163 288.875 0.00009575840 0.00022054022 0.0001018264 0.0000880613 220010.246 207631.967 216560.972 6.04045 5.87884 3.64417 0.0002562357 3.30628 343.016 0.020273 814.468 288.671 0.00009531172 0.00022128570 0.0001015686 0.0000885563 219352.472 207023.006 215864.395 6.10388 5.54964 3.63565 0.0002564729 3.35234 344.015 0.020332 813.798 288.477 0.00009486982 0.00022201473 0.0001013066 0.0000890385 218720.079 206441.340 215195.016 6.16653 5.22535 3.62746 0.0002566932 3.39469 345.013 0.020391 813.141 288.290 0.00009442538 0.00022273968 0.0001010362 0.0000895161 218101.959 205876.606 214541.079 6.22942 4.90055 3.61946 0.0002569004 3.43416 346.011 0.020450 812.499 288.109 0.00009397850 0.00022346046 0.0001007576 0.0000899890 217498.091 205328.735 213902.570 6.29255 4.57530 3.61165 0.0002570946 3.47073 347.009 0.020509 811.871 287.934 0.00009352925 0.00022417699 0.0001004708 0.0000904569 216908.450 204797.659 213279.472 6.35590 4.24965 3.60403 0.0002572756 3.50442 348.008 0.020568 811.256 287.767 0.00009307774 0.00022488918 0.0001001758 0.0000909197 216333.014 204283.310 212671.768 6.41945 3.92366 3.59660 0.0002574435 3.53525 349.006 0.020627 810.655 287.605 0.00009262405 0.00022559696 0.0000998728 0.0000913773 215771.759 203785.621 212079.440 6.48321 3.59739 3.58935 0.0002575982 3.56321 350.004 0.020686 810.069 287.450 0.00009216827 0.00022630023 0.0000995619 0.0000918296 215224.660 203304.526 211502.467 6.54714 3.27089 3.58229 0.0002577395 3.58832 351.003 0.020745 809.497 287.302 0.00009171050 0.00022699892 0.0000992432 0.0000922764 214691.694 202839.959 210940.832 6.61125 2.94421 3.57542 0.0002578676 3.61058 352.001 0.020804 808.938 287.160 0.00009125082 0.00022769295 0.0000989167 0.0000927176 214172.837 202391.855 210394.514 6.67551 2.61741 3.56874 0.0002579823 3.63002 353.016 0.020864 808.385 287.022 0.00009078148 0.00022839388 0.0000985769 0.0000931603 213659.630 201952.974 209854.623 6.74100 2.28501 3.56213 0.0002580852 3.64688 354.014 0.020923 807.856 286.892 0.00009031822 0.00022907826 0.0000982351 0.0000935897 213169.155 201537.882 209339.135 6.80552 1.95814 3.55583 0.0002581729 3.66062 355.013 0.020982 807.341 286.769 0.00008985332 0.00022975774 0.0000978859 0.0000940131 212692.718 201139.063 208838.901 6.87016 1.63130 3.54971 0.0002582471 3.67156 356.011 0.021041 806.840 286.653 0.00008938685 0.00023043225 0.0000975294 0.0000944304 212230.293 200756.456 208353.900 6.93489 1.30456 3.54378 0.0002583078 3.67971 357.009 0.021100 806.354 286.542 0.00008891892 0.00023110170 0.0000971657 0.0000948414 211781.859 200390.001 207884.112 6.99971 0.97797 3.53803 0.0002583551 3.68508 358.007 0.021159 805.882 286.438 0.00008844960 0.00023176602 0.0000967948 0.0000952460 211347.392 200039.641 207429.516 7.06459 0.65158 3.53247 0.0002583888 3.68767 359.006 0.021218 805.424 286.340 0.00008797898 0.00023242514 0.0000964170 0.0000956440 210926.871 199705.318 206990.091 7.12952 0.32543 3.52709 0.0002584090 3.68751 360.004 0.021277 804.981 286.249 0.00008750714 0.00023307897 0.0000960323 0.0000960354 210520.275 199386.975 206565.817 7.19449 -0.00041 3.52190 0.0002584157 3.68459 Engine speed (Hz) = 47.0000000000 Output power (W) = 173.1723049611 Heat into heater (W) = 338.1412618894 Heat to regenerator (W) = -0.0192849019 Heat removal from cooler (W) = 165.5293981859 Approximate Pumping loss (W) = -71.3105504061 Thermal efficiency (%) = 51.2130060654 The average engine pressure (Pa) = 273091.9197231556 The exp space work per cycle (J) = 7.1968213889 The comp space work per cycle (J) = -3.5123042621 The net work per cycle (J) = 3.6845171268 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.2460690516 The expansion work for Vmin-to-Vmax (J) = 25.9305861784 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.012 0.000001 805.566 286.319 0.00008758900 0.00023291226 0.0000960294 0.0000960384 210876.686 199287.330 206763.636 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.014 0.000059 805.136 286.234 0.00008711376 0.00023356430 0.0000956363 0.0000964245 210482.169 198985.714 206351.469 0.06505 -0.32713 -0.00504 0.0002584088 -0.00588 2.016 0.000117 804.721 286.155 0.00008663743 0.00023421091 0.0000952365 0.0000968037 210101.568 198700.124 205954.507 0.13010 -0.65387 -0.00990 0.0002583882 -0.01450 3.001 0.000174 804.327 286.083 0.00008616833 0.00023484100 0.0000948372 0.0000971694 209741.068 198435.018 205579.187 0.19403 -0.97455 -0.01449 0.0002583546 -0.02565 4.003 0.000232 803.941 286.016 0.00008569009 0.00023547661 0.0000944245 0.0000975345 209388.001 198181.045 205212.321 0.25905 -1.30037 -0.01898 0.0002583070 -0.03969 5.005 0.000290 803.569 285.956 0.00008521102 0.00023610656 0.0000940055 0.0000978923 209048.795 197942.942 204860.608 0.32404 -1.62565 -0.02328 0.0002582459 -0.05644 6.008 0.000348 803.212 285.901 0.00008473118 0.00023673077 0.0000935803 0.0000982428 208723.433 197720.660 204524.032 0.38898 -1.95035 -0.02740 0.0002581711 -0.07588 7.010 0.000406 802.870 285.853 0.00008425068 0.00023734917 0.0000931490 0.0000985857 208411.899 197514.153 204202.578 0.45384 -2.27440 -0.03133 0.0002580827 -0.09801 8.012 0.000464 802.543 285.811 0.00008376958 0.00023796167 0.0000927118 0.0000989211 208114.179 197323.374 203896.231 0.51862 -2.59776 -0.03508 0.0002579809 -0.12282 9.014 0.000522 802.231 285.774 0.00008328798 0.00023856821 0.0000922688 0.0000992487 207830.260 197148.279 203604.979 0.58329 -2.92037 -0.03864 0.0002578655 -0.15028 10.017 0.000580 801.934 285.744 0.00008280595 0.00023916870 0.0000918201 0.0000995686 207560.131 196988.825 203328.809 0.64784 -3.24219 -0.04202 0.0002577367 -0.18039 11.002 0.000637 801.656 285.721 0.00008233191 0.00023975287 0.0000913738 0.0000998752 207308.085 196847.319 203072.087 0.71115 -3.55764 -0.04516 0.0002575970 -0.21255 12.004 0.000695 801.388 285.702 0.00008184928 0.00024034115 0.0000909143 0.0001001793 207065.268 196718.757 202825.793 0.77541 -3.87774 -0.04817 0.0002574416 -0.24786 13.006 0.000753 801.135 285.690 0.00008136648 0.00024092314 0.0000904496 0.0001004753 206836.215 196605.718 202594.555 0.83950 -4.19689 -0.05100 0.0002572729 -0.28578 14.008 0.000811 800.897 285.684 0.00008088357 0.00024149878 0.0000899797 0.0001007631 206620.920 196508.164 202378.367 0.90341 -4.51504 -0.05365 0.0002570909 -0.32629 15.011 0.000869 800.674 285.683 0.00008040066 0.00024206798 0.0000895049 0.0001010427 206419.378 196426.061 202177.223 0.96711 -4.83215 -0.05611 0.0002568957 -0.36937 16.013 0.000927 800.467 285.689 0.00007991780 0.00024263067 0.0000890253 0.0001013139 206231.588 196359.374 201991.120 1.03058 -5.14816 -0.05838 0.0002566873 -0.41502 17.015 0.000985 800.274 285.700 0.00007943510 0.00024318675 0.0000885410 0.0001015767 206057.549 196308.072 201820.057 1.09382 -5.46301 -0.06048 0.0002564658 -0.46322 18.000 0.001042 800.099 285.717 0.00007896093 0.00024372674 0.0000880607 0.0001018267 205899.909 196272.613 201666.596 1.15572 -5.77127 -0.06235 0.0002562354 -0.51305 19.002 0.001100 799.937 285.740 0.00007847876 0.00024426950 0.0000875675 0.0001020726 205753.140 196251.724 201525.356 1.21843 -6.08370 -0.06408 0.0002559881 -0.56625 20.004 0.001158 799.789 285.769 0.00007799698 0.00024480542 0.0000870702 0.0001023098 205620.132 196246.131 201399.161 1.28084 -6.39483 -0.06562 0.0002557280 -0.62196 21.007 0.001216 799.657 285.804 0.00007751566 0.00024533441 0.0000865688 0.0001025382 205500.891 196255.809 201288.019 1.34295 -6.70460 -0.06698 0.0002554550 -0.68015 22.009 0.001274 799.540 285.844 0.00007703490 0.00024585638 0.0000860635 0.0001027578 205395.428 196280.731 201191.935 1.40473 -7.01296 -0.06816 0.0002551693 -0.74082 23.011 0.001332 799.438 285.890 0.00007655478 0.00024637125 0.0000855544 0.0001029686 205303.754 196320.873 201110.921 1.46617 -7.31987 -0.06915 0.0002548710 -0.80395 24.013 0.001390 799.352 285.942 0.00007607538 0.00024687894 0.0000850417 0.0001031704 205225.883 196376.214 201044.989 1.52724 -7.62526 -0.06996 0.0002545601 -0.86952 25.016 0.001448 799.280 286.000 0.00007559677 0.00024737935 0.0000845255 0.0001033633 205161.830 196446.730 200994.152 1.58793 -7.92910 -0.07058 0.0002542368 -0.93752 26.001 0.001505 799.225 286.062 0.00007512728 0.00024786396 0.0000840150 0.0001035440 205112.363 196530.798 200958.915 1.64718 -8.22612 -0.07101 0.0002539070 -1.00669 27.003 0.001563 799.185 286.131 0.00007465050 0.00024834969 0.0000834925 0.0001037188 205075.766 196631.348 200938.059 1.70706 -8.52669 -0.07126 0.0002535593 -1.07945 28.005 0.001621 799.159 286.205 0.00007417477 0.00024882786 0.0000829670 0.0001038844 205053.051 196747.017 200932.355 1.76650 -8.82555 -0.07133 0.0002531994 -1.15459 29.007 0.001679 799.150 286.285 0.00007370017 0.00024929840 0.0000824386 0.0001040409 205044.243 196877.789 200941.825 1.82549 -9.12263 -0.07122 0.0002528275 -1.23210 30.010 0.001737 799.155 286.371 0.00007322679 0.00024976120 0.0000819077 0.0001041880 205049.371 197023.648 200966.496 1.88400 -9.41788 -0.07092 0.0002524437 -1.31195 31.012 0.001795 799.176 286.463 0.00007275470 0.00025021618 0.0000813742 0.0001043259 205068.466 197184.578 201006.396 1.94203 -9.71124 -0.07043 0.0002520481 -1.39413 32.014 0.001853 799.213 286.559 0.00007228399 0.00025066322 0.0000808384 0.0001044544 205101.563 197360.567 201061.556 1.99954 -10.00267 -0.06975 0.0002516408 -1.47862 33.016 0.001911 799.265 286.662 0.00007181475 0.00025110224 0.0000803004 0.0001045735 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824.919 291.821 0.00010087077 0.00021128802 0.0001041856 0.0000819169 229219.206 216022.696 226211.870 5.29925 9.69983 3.78282 0.0002524505 2.49114 331.010 0.019156 824.075 291.539 0.00010046993 0.00021206424 0.0001040382 0.0000824479 228397.811 215211.769 225336.756 5.35757 9.38683 3.77211 0.0002528341 2.57196 332.012 0.019214 823.244 291.263 0.00010006521 0.00021283768 0.0001038816 0.0000829761 227590.941 214418.841 224477.196 5.41629 9.07249 3.76160 0.0002532058 2.64980 333.014 0.019272 822.426 290.995 0.00009965669 0.00021360823 0.0001037158 0.0000835016 226798.588 213643.848 223633.201 5.47540 8.75686 3.75127 0.0002535654 2.72465 334.017 0.019330 821.621 290.733 0.00009924449 0.00021437579 0.0001035408 0.0000840241 226020.743 212886.726 222804.784 5.53488 8.44002 3.74114 0.0002539129 2.79651 335.002 0.019387 820.843 290.483 0.00009883592 0.00021512708 0.0001033600 0.0000845345 225270.433 212160.004 222005.835 5.59370 8.12752 3.73136 0.0002542425 2.86423 336.004 0.019445 820.064 290.235 0.00009841672 0.00021588837 0.0001031670 0.0000850506 224521.320 211438.115 221208.324 5.65391 7.80846 3.72161 0.0002545656 2.93019 337.006 0.019503 819.298 289.994 0.00009799415 0.00021664636 0.0001029650 0.0000855632 223786.677 210733.895 220426.406 5.71446 7.48838 3.71204 0.0002548763 2.99318 338.008 0.019561 818.546 289.759 0.00009756830 0.00021740093 0.0001027541 0.0000860723 223066.489 210047.273 219660.080 5.77535 7.16734 3.70267 0.0002551744 3.05321 339.011 0.019619 817.806 289.531 0.00009713927 0.00021815199 0.0001025343 0.0000865775 222360.738 209378.180 218909.342 5.83656 6.84541 3.69348 0.0002554599 3.11027 340.013 0.019677 817.081 289.310 0.00009670717 0.00021889944 0.0001023057 0.0000870789 221669.406 208726.545 218174.189 5.89808 6.52263 3.68449 0.0002557326 3.16437 341.015 0.019735 816.369 289.096 0.00009627208 0.00021964320 0.0001020684 0.0000875762 220992.474 208092.296 217454.612 5.95991 6.19909 3.67569 0.0002559925 3.21553 342.000 0.019792 815.682 288.892 0.00009584169 0.00022037043 0.0001018267 0.0000880607 220341.223 207485.854 216762.610 6.02095 5.88042 3.66722 0.0002562354 3.26294 343.002 0.019850 814.997 288.691 0.00009540098 0.00022110657 0.0001015722 0.0000885495 219692.781 206885.869 216073.890 6.08334 5.55551 3.65880 0.0002564697 3.30828 344.004 0.019908 814.326 288.497 0.00009495757 0.00022183874 0.0001013093 0.0000890337 219058.676 206303.060 215400.715 6.14599 5.23001 3.65056 0.0002566910 3.35068 345.007 0.019966 813.669 288.309 0.00009451157 0.00022256685 0.0001010379 0.0000895132 218438.884 205737.355 214743.072 6.20890 4.90397 3.64252 0.0002568992 3.39016 346.009 0.020024 813.025 288.128 0.00009406306 0.00022329080 0.0001007582 0.0000899880 217833.383 205188.684 214100.946 6.27204 4.57744 3.63466 0.0002570942 3.42673 347.011 0.020082 812.395 287.953 0.00009361214 0.00022401051 0.0001004702 0.0000904577 217242.147 204656.978 213474.319 6.33542 4.25050 3.62700 0.0002572760 3.46040 348.013 0.020140 811.780 287.785 0.00009315891 0.00022472591 0.0001001741 0.0000909224 216665.155 204142.166 212863.176 6.39900 3.92319 3.61952 0.0002574445 3.49118 349.016 0.020198 811.178 287.624 0.00009270344 0.00022543689 0.0000998698 0.0000913818 216102.380 203644.180 212267.498 6.46279 3.59557 3.61223 0.0002575996 3.51906 350.001 0.020255 810.600 287.471 0.00009225375 0.00022613125 0.0000995631 0.0000918280 215563.136 203171.108 211697.139 6.52565 3.27334 3.60526 0.0002577391 3.54366 351.003 0.020313 810.027 287.323 0.00009179414 0.00022683325 0.0000992431 0.0000922766 215028.479 202706.283 211132.069 6.58979 2.94527 3.59834 0.0002578676 3.56586 352.005 0.020371 809.467 287.181 0.00009133257 0.00022753060 0.0000989153 0.0000927195 214507.966 202258.084 210582.405 6.65409 2.61706 3.59162 0.0002579828 3.58519 353.007 0.020429 808.922 287.045 0.00009086913 0.00022822322 0.0000985798 0.0000931566 214001.572 201826.445 210048.128 6.71854 2.28875 3.58508 0.0002580844 3.60167 354.010 0.020487 808.391 286.916 0.00009040392 0.00022891102 0.0000982367 0.0000935877 213509.273 201411.301 209529.218 6.78311 1.96041 3.57874 0.0002581725 3.61532 355.012 0.020545 807.875 286.793 0.00008993701 0.00022959394 0.0000978862 0.0000940128 213031.045 201012.589 209025.652 6.84780 1.63209 3.57258 0.0002582470 3.62614 356.014 0.020603 807.372 286.676 0.00008946851 0.00023027188 0.0000975282 0.0000944317 212566.864 200630.247 208537.412 6.91259 1.30384 3.56660 0.0002583080 3.63415 357.016 0.020661 806.885 286.566 0.00008899848 0.00023094477 0.0000971630 0.0000948443 212116.705 200264.213 208064.475 6.97747 0.97571 3.56082 0.0002583554 3.63934 358.001 0.020718 806.419 286.464 0.00008853517 0.00023160107 0.0000967971 0.0000952435 211687.948 199920.322 207614.583 7.04129 0.65342 3.55531 0.0002583886 3.64173 359.004 0.020776 805.960 286.366 0.00008806239 0.00023226373 0.0000964178 0.0000956432 211265.527 199586.449 207171.929 7.10629 0.32569 3.54990 0.0002584090 3.64140 360.006 0.020834 805.516 286.275 0.00008758836 0.00023292110 0.0000960316 0.0000960361 210857.061 199268.710 206744.518 7.17133 -0.00175 3.54467 0.0002584157 3.63830 Engine speed (Hz) = 48.0000000000 Output power (W) = 174.6345054360 Heat into heater (W) = 344.2240553982 Heat to regenerator (W) = -0.0838886745 Heat removal from cooler (W) = 170.1441997410 Approximate Pumping loss (W) = -75.5710594677 Thermal efficiency (%) = 50.7328011211 The average engine pressure (Pa) = 273151.2759766998 The exp space work per cycle (J) = 7.1730440062 The comp space work per cycle (J) = -3.5348251429 The net work per cycle (J) = 3.6382188632 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.2719075451 The expansion work for Vmin-to-Vmax (J) = 25.9101264083 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.015 0.000001 806.109 286.344 0.00008767062 0.00023275301 0.0000960280 0.0000960398 211218.514 199165.733 206944.605 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000057 805.685 286.261 0.00008720187 0.00023339667 0.0000956405 0.0000964204 210829.353 198870.255 206536.854 0.06392 -0.32274 -0.00499 0.0002584089 -0.00596 2.008 0.000114 805.268 286.182 0.00008672364 0.00023404644 0.0000952395 0.0000968008 210447.044 198585.514 206136.963 0.12900 -0.65088 -0.00988 0.0002583884 -0.01477 3.014 0.000171 804.866 286.110 0.00008624436 0.00023469071 0.0000948319 0.0000971742 210078.640 198316.873 205752.329 0.19408 -0.97860 -0.01459 0.0002583541 -0.02634 4.002 0.000227 804.485 286.045 0.00008577256 0.00023531824 0.0000944251 0.0000975340 209730.221 198068.574 205389.284 0.25800 -1.30012 -0.01903 0.0002583071 -0.04037 5.007 0.000284 804.112 285.985 0.00008529146 0.00023595138 0.0000940047 0.0000978930 209389.326 197831.697 205034.845 0.32302 -1.62686 -0.02336 0.0002582457 -0.05735 6.013 0.000341 803.754 285.931 0.00008480957 0.00023657878 0.0000935781 0.0000982445 209062.282 197610.769 204695.614 0.38800 -1.95303 -0.02751 0.0002581707 -0.07706 7.001 0.000397 803.417 285.884 0.00008433545 0.00023718952 0.0000931531 0.0000985826 208754.448 197409.200 204377.129 0.45177 -2.27287 -0.03141 0.0002580836 -0.09905 8.006 0.000454 803.088 285.842 0.00008385224 0.00023780533 0.0000927145 0.0000989190 208454.816 197219.747 204068.001 0.51659 -2.59775 -0.03519 0.0002579815 -0.12409 9.012 0.000511 802.774 285.807 0.00008336849 0.00023841518 0.0000922701 0.0000992478 208168.990 197046.101 203774.039 0.58132 -2.92190 -0.03879 0.0002578659 -0.15182 10.017 0.000568 802.474 285.778 0.00008288429 0.00023901898 0.0000918200 0.0000995687 207896.960 196888.221 203495.231 0.64593 -3.24528 -0.04220 0.0002577367 -0.18220 11.005 0.000624 802.195 285.755 0.00008240821 0.00023960623 0.0000913723 0.0000998762 207643.125 196748.421 203236.061 0.70927 -3.56217 -0.04537 0.0002575965 -0.21464 12.010 0.000681 801.925 285.737 0.00008192335 0.00024019782 0.0000909113 0.0001001812 207398.412 196621.670 202987.265 0.77360 -3.88385 -0.04841 0.0002574406 -0.25026 13.016 0.000738 801.671 285.726 0.00008143827 0.00024078312 0.0000904451 0.0001004781 207167.467 196510.562 202753.597 0.83776 -4.20459 -0.05127 0.0002572712 -0.28851 14.004 0.000794 801.435 285.721 0.00008096159 0.00024135197 0.0000899819 0.0001007618 206953.975 196416.602 202538.753 0.90062 -4.51875 -0.05390 0.0002570918 -0.32862 15.009 0.000851 801.210 285.721 0.00008047635 0.00024192459 0.0000895056 0.0001010423 206750.307 196336.397 202335.056 0.96439 -4.83749 -0.05639 0.0002568960 -0.37202 16.015 0.000908 801.000 285.728 0.00007999114 0.00024249068 0.0000890244 0.0001013144 206560.395 196271.729 202146.472 1.02795 -5.15515 -0.05870 0.0002566869 -0.41800 17.002 0.000964 800.808 285.740 0.00007951457 0.00024304042 0.0000885471 0.0001015735 206387.209 196223.293 201975.915 1.09016 -5.46612 -0.06078 0.0002564686 -0.46566 18.008 0.001021 800.628 285.758 0.00007902969 0.00024359334 0.0000880568 0.0001018287 206224.566 196189.327 201817.292 1.15324 -5.78147 -0.06272 0.0002562335 -0.51671 19.013 0.001078 800.464 285.782 0.00007854510 0.00024413949 0.0000875620 0.0001020753 206075.681 196170.804 201673.784 1.21604 -6.09558 -0.06448 0.0002559853 -0.57029 20.001 0.001134 800.316 285.811 0.00007806936 0.00024466939 0.0000870718 0.0001023090 205942.813 196167.615 201547.518 1.27745 -6.40291 -0.06602 0.0002557288 -0.62538 21.007 0.001191 800.182 285.847 0.00007758558 0.00024520187 0.0000865688 0.0001025382 205821.223 196179.621 201433.990 1.33966 -6.71440 -0.06741 0.0002554550 -0.68394 22.012 0.001248 800.062 285.889 0.00007710234 0.00024572732 0.0000860618 0.0001027585 205713.413 196206.987 201335.596 1.40155 -7.02448 -0.06862 0.0002551684 -0.74499 23.000 0.001304 799.959 285.935 0.00007662817 0.00024623663 0.0000855600 0.0001029663 205620.927 196248.807 201253.677 1.46201 -7.32772 -0.06962 0.0002548744 -0.80737 24.006 0.001361 799.870 285.988 0.00007614623 0.00024674789 0.0000850457 0.0001031689 205540.475 196306.552 201185.319 1.52319 -7.63487 -0.07045 0.0002545626 -0.87330 25.011 0.001418 799.796 286.047 0.00007566508 0.00024725186 0.0000845279 0.0001033624 205473.845 196379.588 201132.132 1.58400 -7.94047 -0.07110 0.0002542383 -0.94168 26.016 0.001475 799.738 286.112 0.00007518479 0.00024774845 0.0000840068 0.0001035468 205421.057 196467.894 201094.134 1.64441 -8.24446 -0.07157 0.0002539016 -1.01248 27.004 0.001531 799.695 286.181 0.00007471385 0.00024822905 0.0000834917 0.0001037190 205382.696 196569.501 201071.613 1.70335 -8.54149 -0.07184 0.0002535588 -1.08438 28.010 0.001588 799.667 286.256 0.00007423553 0.00024871072 0.0000829645 0.0001038852 205357.415 196688.021 201063.785 1.76292 -8.84212 -0.07194 0.0002531977 -1.15995 29.015 0.001645 799.654 286.338 0.00007375833 0.00024918474 0.0000824345 0.0001040421 205346.047 196821.754 201071.212 1.82203 -9.14097 -0.07185 0.0002528245 -1.23788 30.003 0.001701 799.657 286.423 0.00007329068 0.00024964288 0.0000819111 0.0001041871 205348.457 196967.942 201093.388 1.87965 -9.43280 -0.07158 0.0002524462 -1.31675 31.009 0.001758 799.675 286.516 0.00007281595 0.00025010142 0.0000813759 0.0001043255 205364.762 197131.788 201131.137 1.93781 -9.72797 -0.07112 0.0002520494 -1.39936 32.014 0.001815 799.708 286.614 0.00007234260 0.00025055200 0.0000808384 0.0001044544 205395.077 197310.802 201184.227 1.99546 -10.02120 -0.07047 0.0002516408 -1.48428 33.002 0.001871 799.757 286.716 0.00007187897 0.00025098682 0.0000803081 0.0001045719 205438.541 197501.432 201251.359 2.05159 -10.30734 -0.06965 0.0002512280 -1.56997 34.007 0.001928 799.821 286.826 0.00007140860 0.00025142133 0.0000797664 0.0001046820 205496.747 197710.473 201334.970 2.10817 -10.59656 -0.06862 0.0002507965 -1.65947 35.013 0.001985 799.901 286.940 0.00007093986 0.00025184758 0.0000792229 0.0001047827 205569.085 197934.641 201434.034 2.16420 -10.88366 -0.06741 0.0002503536 -1.75123 36.001 0.002041 799.995 287.059 0.00007048102 0.00025225820 0.0000786873 0.0001048722 205653.964 198169.597 201546.452 2.21867 -11.16362 -0.06604 0.0002499075 -1.84359 37.006 0.002098 800.107 287.184 0.00007001577 0.00025266775 0.0000781405 0.0001049539 205754.466 198423.719 201676.286 2.27352 -11.44637 -0.06445 0.0002494425 -1.93982 38.012 0.002155 800.234 287.315 0.00006955243 0.00025306871 0.0000775925 0.0001050260 205869.253 198692.933 201821.712 2.32774 -11.72683 -0.06267 0.0002489665 -2.03827 39.017 0.002212 800.377 287.452 0.00006909107 0.00025346098 0.0000770432 0.0001050884 205998.384 198977.229 201982.784 2.38133 -12.00494 -0.06070 0.0002484797 -2.13892 40.005 0.002268 800.533 287.591 0.00006863982 0.00025383779 0.0000765026 0.0001051404 206139.279 199271.213 202156.322 2.43334 -12.27584 -0.05858 0.0002479910 -2.23994 41.010 0.002325 800.707 287.739 0.00006818266 0.00025421248 0.0000759515 0.0001051837 206297.032 199585.373 202348.581 2.48560 -12.54912 -0.05622 0.0002474832 -2.34491 42.016 0.002382 800.898 287.891 0.00006772775 0.00025457812 0.0000753998 0.0001052173 206469.326 199914.582 202556.664 2.53716 -12.81988 -0.05368 0.0002469651 -2.45203 43.004 0.002438 801.101 288.047 0.00006728311 0.00025492843 0.0000748572 0.0001052409 206652.826 200252.659 202776.570 2.58712 -13.08337 -0.05099 0.0002464461 -2.55934 44.009 0.002495 801.323 288.210 0.00006683295 0.00025527580 0.0000743046 0.0001052553 206854.165 200611.667 203016.222 2.63725 -13.34894 -0.04806 0.0002459079 -2.67067 45.015 0.002552 801.561 288.378 0.00006638531 0.00025561375 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0.00009592470 0.00022020048 0.0001018262 0.0000880616 220674.940 207335.730 216965.273 6.00083 5.88282 3.69053 0.0002562359 3.21903 343.007 0.019445 815.522 288.707 0.00009548283 0.00022093911 0.0001015709 0.0000885519 220025.577 206735.177 216273.476 6.06317 5.55697 3.68207 0.0002564709 3.26434 344.013 0.019502 814.850 288.513 0.00009503821 0.00022167378 0.0001013071 0.0000890377 219390.568 206151.949 215597.289 6.12579 5.23049 3.67380 0.0002566928 3.30670 345.001 0.019558 814.204 288.328 0.00009459881 0.00022239164 0.0001010396 0.0000895103 218780.657 205595.756 214948.154 6.18756 4.90919 3.66586 0.0002568980 3.34546 346.006 0.019615 813.559 288.147 0.00009414903 0.00022311821 0.0001007590 0.0000899866 218174.036 205046.662 214302.873 6.25067 4.58165 3.65796 0.0002570936 3.38200 347.012 0.019672 812.929 287.972 0.00009369679 0.00022384058 0.0001004701 0.0000904579 217581.699 204514.678 213673.158 6.31401 4.25365 3.65026 0.0002572760 3.41562 348.017 0.019729 812.313 287.804 0.00009324218 0.00022455864 0.0001001730 0.0000909240 217003.621 203999.735 213058.993 6.37757 3.92527 3.64275 0.0002574450 3.44632 349.005 0.019785 811.721 287.645 0.00009279333 0.00022525983 0.0000998732 0.0000913768 216449.546 203510.351 212470.729 6.44021 3.60232 3.63555 0.0002575980 3.47365 350.010 0.019842 811.133 287.490 0.00009233429 0.00022596911 0.0000995600 0.0000918324 215899.660 203028.981 211887.337 6.50416 3.27332 3.62841 0.0002577404 3.49859 351.016 0.019899 810.558 287.342 0.00009187317 0.00022667384 0.0000992389 0.0000922823 215363.957 202564.443 211319.440 6.56828 2.94410 3.62147 0.0002578692 3.52065 352.004 0.019955 810.008 287.202 0.00009141818 0.00022736170 0.0000989158 0.0000927188 214851.440 202124.382 210776.575 6.63144 2.62049 3.61483 0.0002579826 3.53953 353.009 0.020012 809.462 287.066 0.00009095317 0.00022805716 0.0000985792 0.0000931573 214343.779 201693.015 210239.336 6.69587 2.29099 3.60825 0.0002580846 3.55589 354.015 0.020069 808.930 286.937 0.00009048634 0.00022874782 0.0000982350 0.0000935899 213850.226 201278.280 209717.532 6.76044 1.96143 3.60187 0.0002581729 3.56940 355.002 0.020125 808.422 286.817 0.00009002601 0.00022942162 0.0000978895 0.0000940089 213379.047 200886.957 209219.892 6.82399 1.63765 3.59578 0.0002582464 3.57990 356.008 0.020182 807.918 286.700 0.00008955582 0.00023010254 0.0000975304 0.0000944292 212913.388 200505.007 208728.624 6.88878 1.30813 3.58977 0.0002583077 3.58777 357.013 0.020239 807.429 286.590 0.00008908407 0.00023077843 0.0000971641 0.0000948431 212461.764 200139.500 208252.729 6.95366 0.97872 3.58395 0.0002583552 3.59282 358.001 0.020295 806.963 286.489 0.00008861917 0.00023143748 0.0000967971 0.0000952435 212031.707 199796.361 207800.134 7.01748 0.65523 3.57841 0.0002583886 3.59504 359.007 0.020352 806.503 286.391 0.00008814459 0.00023210315 0.0000964166 0.0000956444 211607.835 199463.274 207354.654 7.08249 0.32618 3.57296 0.0002584090 3.59453 360.012 0.020409 806.057 286.300 0.00008766870 0.00023276356 0.0000960291 0.0000960387 211197.930 199146.452 206924.486 7.14755 -0.00262 3.56770 0.0002584157 3.59122 Engine speed (Hz) = 49.0000000000 Output power (W) = 175.9658639801 Heat into heater (W) = 350.2300288350 Heat to regenerator (W) = -0.1282315752 Heat removal from cooler (W) = 174.8174303997 Approximate Pumping loss (W) = -79.9857277705 Thermal efficiency (%) = 50.2429402086 The average engine pressure (Pa) = 273210.7141084279 The exp space work per cycle (J) = 7.1488546080 The comp space work per cycle (J) = -3.5577145268 The net work per cycle (J) = 3.5911400812 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.2983485242 The expansion work for Vmin-to-Vmax (J) = 25.8894886054 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 806.669 286.371 0.00008776243 0.00023257882 0.0000960338 0.0000960339 211573.721 199047.324 207136.657 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000056 806.237 286.286 0.00008728380 0.00023323659 0.0000956385 0.0000964223 211176.348 198747.622 206719.033 0.06503 -0.32964 -0.00511 0.0002584088 -0.00625 2.016 0.000112 805.819 286.208 0.00008680400 0.00023388896 0.0000952365 0.0000968037 210792.886 198464.183 206316.732 0.13008 -0.65893 -0.01003 0.0002583882 -0.01529 3.006 0.000167 805.423 286.138 0.00008633172 0.00023452434 0.0000948351 0.0000971713 210429.792 198201.583 205936.511 0.19397 -0.98196 -0.01468 0.0002583544 -0.02686 4.014 0.000223 805.035 286.072 0.00008584986 0.00023516577 0.0000944200 0.0000975384 210073.843 197950.218 205564.528 0.25901 -1.31041 -0.01923 0.0002583065 -0.04137 5.004 0.000278 804.667 286.014 0.00008537571 0.00023579025 0.0000940061 0.0000978918 209737.734 197719.016 205214.051 0.32285 -1.63251 -0.02352 0.0002582459 -0.05829 6.012 0.000334 804.308 285.961 0.00008489213 0.00023642043 0.0000935784 0.0000982443 209409.226 197499.521 204872.320 0.38782 -1.95992 -0.02770 0.0002581707 -0.07822 7.002 0.000389 803.969 285.915 0.00008441646 0.00023703370 0.0000931524 0.0000985830 209100.035 197299.523 204551.526 0.45155 -2.28089 -0.03162 0.0002580835 -0.10044 8.010 0.000445 803.639 285.874 0.00008393149 0.00023765231 0.0000927127 0.0000989203 208798.902 197111.703 204239.989 0.51637 -2.60705 -0.03544 0.0002579811 -0.12575 9.000 0.000500 803.329 285.839 0.00008345461 0.00023825408 0.0000922752 0.0000992441 208516.569 196942.725 203948.823 0.57994 -2.92669 -0.03900 0.0002578673 -0.15322 10.008 0.000556 803.028 285.811 0.00008296859 0.00023886082 0.0000918240 0.0000995658 208242.758 196786.401 203667.430 0.64456 -3.25139 -0.04244 0.0002577379 -0.18384 11.016 0.000612 802.742 285.788 0.00008248215 0.00023946144 0.0000913672 0.0000998796 207982.714 196645.901 203401.229 0.70904 -3.57527 -0.04570 0.0002575949 -0.21713 12.006 0.000667 802.475 285.772 0.00008200409 0.00024004531 0.0000909133 0.0001001799 207740.704 196523.273 203154.561 0.77223 -3.89253 -0.04871 0.0002574413 -0.25240 13.014 0.000723 802.219 285.761 0.00008151710 0.00024063358 0.0000904459 0.0001004776 207507.920 196414.020 202918.447 0.83641 -4.21465 -0.05160 0.0002572715 -0.29092 14.004 0.000778 801.982 285.757 0.00008103865 0.00024120517 0.0000899818 0.0001007619 207292.670 196322.006 202701.316 0.89926 -4.53008 -0.05426 0.0002570917 -0.33130 15.012 0.000834 801.755 285.758 0.00008055144 0.00024178077 0.0000895043 0.0001010431 207087.123 196243.848 202495.268 0.96306 -4.85022 -0.05678 0.0002568954 -0.37500 16.002 0.000889 801.547 285.766 0.00008007293 0.00024233975 0.0000890305 0.0001013111 206898.617 196182.305 202307.658 1.02552 -5.16361 -0.05907 0.0002566896 -0.42044 17.010 0.000945 801.350 285.779 0.00007958582 0.00024290236 0.0000885435 0.0001015754 206720.295 196135.105 202131.664 1.08887 -5.48158 -0.06123 0.0002564669 -0.46926 18.000 0.001000 801.171 285.798 0.00007910759 0.00024344841 0.0000880607 0.0001018267 206558.528 196103.903 201973.572 1.15086 -5.79272 -0.06316 0.0002562354 -0.51970 19.008 0.001056 801.004 285.823 0.00007862091 0.00024399769 0.0000875647 0.0001020740 206407.437 196087.534 201827.635 1.21370 -6.10830 -0.06495 0.0002559867 -0.57358 20.016 0.001112 800.852 285.854 0.00007813458 0.00024454011 0.0000870645 0.0001023124 206270.090 196086.675 201696.870 1.27626 -6.42260 -0.06655 0.0002557249 -0.62999 21.006 0.001167 800.717 285.890 0.00007765736 0.00024506609 0.0000865692 0.0001025380 206148.581 196100.901 201583.212 1.33740 -6.72998 -0.06794 0.0002554552 -0.68785 22.014 0.001223 800.595 285.933 0.00007717196 0.00024559467 0.0000860609 0.0001027589 206038.501 196130.703 201482.537 1.39934 -7.04158 -0.06917 0.0002551678 -0.74923 23.004 0.001278 800.490 285.981 0.00007669582 0.00024610688 0.0000855580 0.0001029671 205943.793 196174.994 201398.453 1.45984 -7.34620 -0.07020 0.0002548732 -0.81194 24.012 0.001334 800.398 286.035 0.00007621169 0.00024662127 0.0000850424 0.0001031702 205861.026 196235.358 201327.913 1.52108 -7.65489 -0.07106 0.0002545606 -0.87823 25.002 0.001389 800.323 286.094 0.00007573695 0.00024711937 0.0000845326 0.0001033607 205793.174 196309.620 201273.451 1.58086 -7.95655 -0.07173 0.0002542413 -0.94572 26.010 0.001445 800.261 286.159 0.00007525443 0.00024761920 0.0000840102 0.0001035456 205737.787 196400.458 201233.106 1.64135 -8.26210 -0.07222 0.0002539038 -1.01686 27.000 0.001500 800.216 286.230 0.00007478143 0.00024810282 0.0000834940 0.0001037183 205696.864 196504.608 201208.337 1.70034 -8.56058 -0.07252 0.0002535603 -1.08908 28.008 0.001556 800.185 286.307 0.00007430084 0.00024858773 0.0000829655 0.0001038849 205668.942 196625.838 201198.266 1.75999 -8.86279 -0.07264 0.0002531984 -1.16500 29.016 0.001612 800.169 286.389 0.00007382136 0.00024906496 0.0000824341 0.0001040422 205654.915 196762.374 201203.504 1.81918 -9.16323 -0.07258 0.0002528243 -1.24331 30.006 0.001667 800.169 286.476 0.00007335161 0.00024952611 0.0000819096 0.0001041875 205654.692 196911.354 201223.577 1.87686 -9.45653 -0.07234 0.0002524451 -1.32252 31.014 0.001723 800.184 286.570 0.00007287457 0.00024998784 0.0000813730 0.0001043262 205668.300 197078.178 201259.245 1.93510 -9.75329 -0.07190 0.0002520472 -1.40551 32.004 0.001778 800.214 286.668 0.00007240739 0.00025043356 0.0000808438 0.0001044532 205695.285 197256.873 201309.266 1.99181 -10.04287 -0.07129 0.0002516450 -1.48929 33.012 0.001834 800.260 286.773 0.00007193315 0.00025087939 0.0000803027 0.0001045730 205736.669 197453.924 201375.495 2.04904 -10.33573 -0.07048 0.0002512238 -1.57690 34.002 0.001889 800.320 286.882 0.00007146888 0.00025130930 0.0000797694 0.0001046815 205791.013 197662.278 201455.603 2.10471 -10.62136 -0.06950 0.0002507989 -1.66518 35.010 0.001945 800.397 286.998 0.00007099778 0.00025173882 0.0000792245 0.0001047824 205860.339 197889.500 201552.544 2.16083 -10.91010 -0.06831 0.0002503549 -1.75733 36.000 0.002000 800.487 287.118 0.00007053676 0.00025215250 0.0000786876 0.0001048722 205942.218 198127.461 201662.901 2.21539 -11.19156 -0.06696 0.0002499079 -1.85005 37.008 0.002056 800.595 287.245 0.00007006915 0.00025256528 0.0000781396 0.0001049541 206039.679 198384.802 201790.732 2.27034 -11.47594 -0.06540 0.0002494416 -1.94667 38.016 0.002112 800.719 287.377 0.00006960343 0.00025296944 0.0000775901 0.0001050263 206151.416 198657.321 201934.222 2.32468 -11.75802 -0.06364 0.0002489644 -2.04554 39.006 0.002167 800.856 287.513 0.00006914797 0.00025335790 0.0000770493 0.0001050878 206275.112 198939.735 202090.445 2.37742 -12.03278 -0.06173 0.0002484851 -2.14479 40.014 0.002223 801.011 287.656 0.00006868627 0.00025374465 0.0000764977 0.0001051408 206415.328 199242.302 202265.138 2.43046 -12.31014 -0.05959 0.0002479865 -2.24802 41.004 0.002278 801.179 287.803 0.00006823493 0.00025411578 0.0000759551 0.0001051834 206567.120 199554.203 202452.121 2.48190 -12.58015 -0.05731 0.0002474865 -2.35152 42.012 0.002334 801.365 287.957 0.00006777763 0.00025448467 0.0000754020 0.0001052172 206736.079 199886.770 202658.258 2.53359 -12.85255 -0.05478 0.0002469671 -2.45905 43.002 0.002389 801.564 288.113 0.00006733078 0.00025483801 0.0000748582 0.0001052408 206916.244 200228.112 202876.253 2.58365 -13.11756 -0.05212 0.0002464471 -2.56674 44.010 0.002445 801.783 288.278 0.00006687822 0.00025518853 0.0000743042 0.0001052553 207114.245 200590.629 203114.105 2.63390 -13.38476 -0.04921 0.0002459075 -2.67849 45.000 0.002500 802.013 288.445 0.00006643622 0.00025552360 0.0000737600 0.0001052600 207323.092 200961.361 203363.392 2.68251 -13.64452 -0.04616 0.0002453680 -2.79028 46.008 0.002556 802.264 288.620 0.00006598879 0.00025585527 0.0000732058 0.0001052551 207550.467 201353.774 203633.259 2.73125 -13.90625 -0.04286 0.0002448090 -2.90618 47.016 0.002612 802.531 288.801 0.00006554410 0.00025617722 0.0000726518 0.0001052405 207792.799 201761.248 203919.402 2.77919 -14.16512 -0.03936 0.0002442404 -3.02413 48.006 0.002667 802.809 288.983 0.00006511009 0.00025648384 0.0000721081 0.0001052167 208045.459 202176.088 204216.365 2.82548 -14.41652 -0.03572 0.0002436728 -3.14197 49.014 0.002723 803.108 289.174 0.00006467109 0.00025678615 0.0000715550 0.0001051827 208317.736 202613.362 204535.038 2.87179 -14.66952 -0.03183 0.0002430857 -3.26395 50.004 0.002778 803.418 289.366 0.00006424287 0.00025707320 0.0000710124 0.0001051399 208600.011 203057.434 204864.135 2.91644 -14.91504 -0.02780 0.0002425003 -3.38570 51.012 0.002834 803.750 289.567 0.00006380995 0.00025735530 0.0000704608 0.0001050867 208902.663 203524.430 205215.725 2.96104 -15.16191 -0.02350 0.0002418955 -3.51162 52.002 0.002889 804.092 289.770 0.00006338790 0.00025762222 0.0000699200 0.0001050251 209214.999 203997.649 205577.356 3.00398 -15.40126 -0.01908 0.0002412931 -3.63721 53.010 0.002945 804.457 289.981 0.00006296147 0.00025788353 0.0000693706 0.0001049527 209548.500 204494.272 205962.290 3.04680 -15.64172 -0.01437 0.0002406713 -3.76699 54.000 0.003000 804.832 290.193 0.00006254599 0.00025812975 0.0000688323 0.0001048722 209891.385 204996.534 206356.895 3.08795 -15.87464 -0.00954 0.0002400525 -3.89633 55.008 0.003056 805.231 290.414 0.00006212644 0.00025836966 0.0000682857 0.0001047807 210256.259 205522.667 206775.645 3.12890 -16.10840 -0.00442 0.0002394144 -4.02989 56.016 0.003112 805.646 290.640 0.00006171053 0.00025859855 0.0000677408 0.0001046796 210637.178 206063.636 207211.650 3.16889 -16.33867 0.00092 0.0002387684 -4.16533 57.006 0.003167 806.071 290.867 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0.00009057634 0.00022857269 0.0000982380 0.0000935862 214203.239 201148.325 209915.988 6.73761 1.96074 3.62524 0.0002581722 3.52246 355.014 0.019723 808.967 286.838 0.00009010649 0.00022926091 0.0000978854 0.0000940137 213722.750 200750.754 209406.923 6.80224 1.63018 3.61901 0.0002582472 3.53299 356.004 0.019778 808.472 286.724 0.00008964338 0.00022993205 0.0000975319 0.0000944276 213264.516 200376.458 208921.976 6.86582 1.30555 3.61308 0.0002583074 3.54056 357.012 0.019834 807.983 286.614 0.00008917026 0.00023061041 0.0000971646 0.0000948425 212811.848 200011.765 208443.493 6.93065 0.97510 3.60723 0.0002583552 3.54545 358.002 0.019889 807.516 286.513 0.00008870412 0.00023127171 0.0000967969 0.0000952438 212380.891 199669.640 207988.543 6.99440 0.65067 3.60166 0.0002583887 3.54750 359.010 0.019945 807.055 286.416 0.00008822808 0.00023193991 0.0000964154 0.0000956457 211955.949 199337.582 207540.562 7.05937 0.32053 3.59618 0.0002584091 3.54679 360.000 0.020000 806.616 286.327 0.00008775924 0.00023259107 0.0000960338 0.0000960339 211552.177 199027.394 207115.531 7.12323 -0.00349 3.59098 0.0002584157 3.54337 Engine speed (Hz) = 50.0000000000 Output power (W) = 177.1641159155 Heat into heater (W) = 356.1617131810 Heat to regenerator (W) = -0.1743251664 Heat removal from cooler (W) = 179.5490054961 Approximate Pumping loss (W) = -84.5566303139 Thermal efficiency (%) = 49.7426054960 The average engine pressure (Pa) = 273271.0509456182 The exp space work per cycle (J) = 7.1241331040 The comp space work per cycle (J) = -3.5808507857 The net work per cycle (J) = 3.5432823183 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.3249951317 The expansion work for Vmin-to-Vmax (J) = 25.8682774500 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000000 807.231 286.396 0.00008784752 0.00023241305 0.0000960331 0.0000960346 211927.930 198921.211 207324.750 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.012 0.000055 806.798 286.312 0.00008736772 0.00023307292 0.0000956371 0.0000964237 211529.757 198622.897 206904.954 0.06494 -0.33052 -0.00514 0.0002584088 -0.00646 2.003 0.000109 806.388 286.236 0.00008689547 0.00023371557 0.0000952417 0.0000967988 211152.324 198345.913 206507.721 0.12873 -0.65472 -0.00999 0.0002583885 -0.01552 3.013 0.000164 805.984 286.164 0.00008641337 0.00023436471 0.0000948323 0.0000971738 210781.630 198079.945 206118.322 0.19370 -0.98455 -0.01476 0.0002583542 -0.02750 4.004 0.000218 805.602 286.101 0.00008593902 0.00023499666 0.0000944241 0.0000975349 210431.135 197834.613 205750.899 0.25748 -1.30797 -0.01925 0.0002583070 -0.04195 5.014 0.000273 805.227 286.042 0.00008545495 0.00023563476 0.0000940018 0.0000978954 210087.840 197600.779 205391.828 0.32241 -1.63690 -0.02365 0.0002582453 -0.05940 6.006 0.000327 804.873 285.990 0.00008497884 0.00023625571 0.0000935812 0.0000982420 209764.211 197386.895 205054.150 0.38613 -1.95934 -0.02778 0.0002581713 -0.07920 7.015 0.000382 804.527 285.944 0.00008449315 0.00023688245 0.0000931467 0.0000985875 209448.243 197184.991 204725.346 0.45096 -2.28716 -0.03180 0.0002580822 -0.10207 8.007 0.000436 804.202 285.905 0.00008401561 0.00023749211 0.0000927142 0.0000989193 209151.413 197002.363 204417.357 0.51454 -2.60840 -0.03557 0.0002579815 -0.12716 9.017 0.000491 803.885 285.871 0.00008352862 0.00023810717 0.0000922678 0.0000992494 208862.712 196832.200 204118.766 0.57921 -2.93491 -0.03922 0.0002578653 -0.15539 10.008 0.000545 803.589 285.843 0.00008304998 0.00023870521 0.0000918240 0.0000995658 208592.625 196680.648 203840.418 0.64260 -3.25476 -0.04262 0.0002577379 -0.18572 11.018 0.000600 803.301 285.822 0.00008256205 0.00023930829 0.0000913664 0.0000998802 208331.139 196542.050 203571.994 0.70704 -3.57975 -0.04591 0.0002575946 -0.21926 12.009 0.000654 803.034 285.806 0.00008208264 0.00023989441 0.0000909118 0.0001001809 208087.753 196421.405 203323.248 0.77017 -3.89800 -0.04895 0.0002574408 -0.25477 13.001 0.000708 802.780 285.797 0.00008160297 0.00024047449 0.0000904521 0.0001004737 207857.581 196316.014 203089.156 0.83314 -4.21538 -0.05181 0.0002572739 -0.29284 14.010 0.000763 802.537 285.793 0.00008111423 0.00024105904 0.0000899787 0.0001007638 207636.724 196224.314 202865.786 0.89711 -4.53770 -0.05455 0.0002570905 -0.33421 15.002 0.000817 802.313 285.795 0.00008063428 0.00024162673 0.0000895091 0.0001010403 207433.208 196149.602 202661.259 0.95972 -4.85319 -0.05705 0.0002568974 -0.37738 16.012 0.000872 802.099 285.804 0.00008014542 0.00024219849 0.0000890258 0.0001013137 207239.494 196089.077 202467.995 1.02328 -5.17346 -0.05941 0.0002566875 -0.42392 17.003 0.000926 801.904 285.818 0.00007966552 0.00024275344 0.0000885468 0.0001015737 207062.623 196044.907 202293.023 1.08547 -5.48684 -0.06155 0.0002564685 -0.47212 18.013 0.000981 801.720 285.838 0.00007917688 0.00024331207 0.0000880543 0.0001018300 206896.046 196015.424 202129.862 1.14856 -5.80486 -0.06355 0.0002562323 -0.52377 19.004 0.001035 801.554 285.864 0.00007869736 0.00024385397 0.0000875665 0.0001020731 206745.824 196001.668 201984.450 1.21025 -6.11592 -0.06533 0.0002559876 -0.57696 20.014 0.001090 801.399 285.896 0.00007820927 0.00024439913 0.0000870654 0.0001023120 206606.396 196003.103 201851.405 1.27280 -6.43148 -0.06696 0.0002557254 -0.63366 21.006 0.001144 801.263 285.933 0.00007773045 0.00024492764 0.0000865693 0.0001025380 206482.840 196019.647 201735.571 1.33392 -6.74002 -0.06837 0.0002554553 -0.69178 22.015 0.001199 801.138 285.977 0.00007724325 0.00024545898 0.0000860602 0.0001027592 206370.590 196051.888 201632.669 1.39586 -7.05290 -0.06963 0.0002551674 -0.75346 23.007 0.001253 801.031 286.026 0.00007676547 0.00024597374 0.0000855566 0.0001029677 206273.738 196098.627 201546.450 1.45635 -7.35870 -0.07069 0.0002548723 -0.81644 24.017 0.001308 800.937 286.081 0.00007627950 0.00024649091 0.0000850400 0.0001031711 206188.711 196161.573 201473.734 1.51760 -7.66870 -0.07158 0.0002545591 -0.88304 25.008 0.001362 800.859 286.141 0.00007580308 0.00024699158 0.0000845294 0.0001033619 206118.618 196238.413 201417.182 1.57738 -7.97156 -0.07227 0.0002542393 -0.95083 26.018 0.001417 800.795 286.208 0.00007531867 0.00024749421 0.0000840060 0.0001035471 206060.881 196331.971 201374.716 1.63788 -8.27844 -0.07279 0.0002539011 -1.02229 27.009 0.001471 800.747 286.279 0.00007484396 0.00024798042 0.0000834891 0.0001037199 206017.621 196438.827 201347.901 1.69688 -8.57815 -0.07312 0.0002535570 -1.09482 28.001 0.001525 800.714 286.356 0.00007437022 0.00024845934 0.0000829692 0.0001038837 205987.688 196560.523 201335.850 1.75546 -8.87620 -0.07326 0.0002532010 -1.16967 29.011 0.001580 800.695 286.440 0.00007388878 0.00024893952 0.0000824369 0.0001040414 205970.929 196699.710 201338.779 1.81469 -9.17803 -0.07323 0.0002528263 -1.24828 30.002 0.001634 800.692 286.528 0.00007341724 0.00024940341 0.0000819117 0.0001041870 205967.981 196851.310 201356.607 1.87239 -9.47260 -0.07301 0.0002524467 -1.32777 31.012 0.001689 800.704 286.623 0.00007293822 0.00024986809 0.0000813742 0.0001043259 205978.768 197020.920 201390.026 1.93068 -9.77077 -0.07260 0.0002520481 -1.41108 32.003 0.001743 800.731 286.723 0.00007246923 0.00025031656 0.0000808442 0.0001044531 206002.934 197202.358 201437.853 1.98741 -10.06163 -0.07201 0.0002516452 -1.49515 33.013 0.001798 800.773 286.829 0.00007199298 0.00025076534 0.0000803021 0.0001045732 206041.413 197402.328 201501.897 2.04468 -10.35591 -0.07123 0.0002512233 -1.58308 34.005 0.001852 800.830 286.939 0.00007152688 0.00025119800 0.0000797680 0.0001046817 206092.847 197613.543 201579.867 2.10039 -10.64284 -0.07028 0.0002507978 -1.67166 35.014 0.001907 800.904 287.057 0.00007105375 0.00025163045 0.0000792221 0.0001047828 206159.187 197843.814 201674.692 2.15656 -10.93300 -0.06912 0.0002503530 -1.76415 36.006 0.001961 800.991 287.177 0.00007059089 0.00025204687 0.0000786845 0.0001048727 206238.069 198084.753 201782.970 2.21116 -11.21577 -0.06779 0.0002499052 -1.85718 37.016 0.002016 801.095 287.306 0.00007012123 0.00025246257 0.0000781354 0.0001049546 206332.466 198345.271 201908.758 2.26617 -11.50157 -0.06625 0.0002494381 -1.95416 38.007 0.002070 801.213 287.438 0.00006966195 0.00025286231 0.0000775950 0.0001050257 206439.003 198615.881 202047.534 2.31958 -11.77994 -0.06456 0.0002489687 -2.05155 39.017 0.002125 801.349 287.577 0.00006919614 0.00025326080 0.0000770434 0.0001050884 206561.685 198906.594 202204.493 2.37335 -12.06115 -0.06264 0.0002484798 -2.15295 40.008 0.002179 801.497 287.719 0.00006874080 0.00025364343 0.0000765009 0.0001051405 206696.114 199206.825 202373.985 2.42550 -12.33489 -0.06056 0.0002479894 -2.25464 41.018 0.002234 801.664 287.869 0.00006827918 0.00025402425 0.0000759474 0.0001051840 206847.336 199527.681 202562.349 2.47794 -12.61125 -0.05826 0.0002474794 -2.36038 42.009 0.002288 801.844 288.022 0.00006782815 0.00025438930 0.0000754033 0.0001052171 207009.924 199857.482 202762.799 2.52876 -12.88011 -0.05581 0.0002469685 -2.46631 43.001 0.002342 802.039 288.180 0.00006737939 0.00025474545 0.0000748588 0.0001052408 207186.572 200201.913 202978.687 2.57889 -13.14647 -0.05317 0.0002464476 -2.57430 44.011 0.002397 802.253 288.346 0.00006692475 0.00025509893 0.0000743038 0.0001052553 207381.025 200567.748 203214.515 2.62922 -13.41511 -0.05028 0.0002459071 -2.68639 45.002 0.002451 802.479 288.515 0.00006648084 0.00025543677 0.0000737588 0.0001052600 207586.296 200941.667 203461.783 2.67790 -13.67622 -0.04726 0.0002453668 -2.79850 46.012 0.002506 802.726 288.691 0.00006603133 0.00025577134 0.0000732036 0.0001052551 207810.078 201337.506 203729.730 2.72671 -13.93938 -0.04398 0.0002448067 -2.91475 47.003 0.002560 802.984 288.870 0.00006559266 0.00025609035 0.0000726588 0.0001052407 208044.326 201740.852 204008.699 2.77387 -14.19498 -0.04057 0.0002442475 -3.03090 48.013 0.002615 803.262 289.057 0.00006514867 0.00025640548 0.0000721041 0.0001052164 208297.817 202166.627 204309.110 2.82110 -14.45240 -0.03689 0.0002436686 -3.15122 49.005 0.002669 803.552 289.246 0.00006471560 0.00025670513 0.0000715601 0.0001051831 208561.437 202599.329 204620.135 2.86665 -14.70222 -0.03309 0.0002430912 -3.27133 50.014 0.002724 803.863 289.443 0.00006427752 0.00025700026 0.0000710066 0.0001051394 208845.061 203054.962 204953.392 2.91221 -14.95362 -0.02901 0.0002424941 -3.39565 51.006 0.002778 804.185 289.642 0.00006385046 0.00025727999 0.0000704641 0.0001050871 209138.489 203516.934 205296.865 2.95609 -15.19740 -0.02481 0.0002418992 -3.51964 52.016 0.002833 804.529 289.850 0.00006341869 0.00025755453 0.0000699125 0.0001050241 209452.713 204002.330 205663.388 2.99990 -15.44250 -0.02032 0.0002412847 -3.64787 53.007 0.002887 804.883 290.059 0.00006299802 0.00025781376 0.0000693721 0.0001049529 209776.433 204493.472 206039.746 3.04203 -15.67995 -0.01572 0.0002406730 -3.77566 54.017 0.002942 805.261 290.276 0.00006257297 0.00025806712 0.0000688231 0.0001048707 210121.774 205008.516 206439.999 3.08402 -15.91847 -0.01082 0.0002400418 -3.90772 55.008 0.002996 805.648 290.495 0.00006215910 0.00025830524 0.0000682855 0.0001047806 210476.318 205528.701 206849.721 3.12432 -16.14931 -0.00581 0.0002394142 -4.03923 56.018 0.003051 806.059 290.722 0.00006174118 0.00025853677 0.0000677397 0.0001046793 210853.347 206073.254 207284.221 3.16440 -16.38095 -0.00050 0.0002387670 -4.17503 57.010 0.003105 806.479 290.950 0.00006133453 0.00025875313 0.0000672056 0.0001045705 211239.306 206622.328 207727.838 3.20280 -16.60488 0.00493 0.0002381241 -4.31016 58.001 0.003159 806.916 291.183 0.00006093160 0.00025895847 0.0000666734 0.0001044525 211641.066 207185.647 208188.464 3.24022 -16.82527 0.01057 0.0002374740 -4.44706 59.011 0.003214 807.378 291.425 0.00006052516 0.00025915609 0.0000661336 0.0001043229 212066.682 207773.986 208675.262 3.27731 -17.04603 0.01652 0.0002368045 -4.58828 60.002 0.003268 807.849 291.668 0.00006013009 0.00025933864 0.0000656059 0.0001041863 212500.860 208365.891 209170.697 3.31270 -17.25905 0.02258 0.0002361403 -4.72868 61.012 0.003323 808.346 291.919 0.00005973187 0.00025951269 0.0000650710 0.0001040379 212959.875 208983.216 209693.298 3.34770 -17.47214 0.02897 0.0002354569 -4.87342 62.004 0.003377 808.851 292.171 0.00005934509 0.00025967171 0.0000645484 0.0001038830 213427.239 209603.436 210224.249 3.38099 -17.67745 0.03547 0.0002347794 -5.01721 63.013 0.003432 809.384 292.431 0.00005895555 0.00025982139 0.0000640190 0.0001037160 213920.483 210249.435 210783.424 3.41380 -17.88252 0.04231 0.0002340830 -5.16536 64.005 0.003486 809.924 292.692 0.00005857753 0.00025995607 0.0000635021 0.0001035430 214421.901 210897.625 211350.706 3.44492 -18.07979 0.04925 0.0002333931 -5.31247 65.015 0.003541 810.492 292.961 0.00005819715 0.00026008051 0.0000629788 0.0001033576 214950.316 211571.897 211947.350 3.47547 -18.27648 0.05655 0.0002326844 -5.46394 66.006 0.003595 811.068 293.231 0.00005782837 0.00026018996 0.0000624683 0.0001031666 215486.780 212247.602 212551.923 3.50432 -18.46534 0.06394 0.0002319829 -5.61425 67.016 0.003650 811.674 293.509 0.00005745765 0.00026028821 0.0000619518 0.0001029630 216051.459 212949.612 213187.117 3.53252 -18.65325 0.07171 0.0002312628 -5.76893 68.007 0.003704 812.286 293.787 0.00005709861 0.00026037141 0.0000614483 0.0001027543 216624.139 213652.216 213830.170 3.55902 -18.83329 0.07958 0.0002305506 -5.92235 69.017 0.003759 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0.00009066584 0.00022839752 0.0000982397 0.0000935840 214559.845 201014.480 210115.713 6.71343 1.96433 3.64891 0.0002581718 3.47490 355.011 0.019336 809.529 286.861 0.00009019506 0.00022908764 0.0000978866 0.0000940124 214078.805 200617.829 209604.393 6.77795 1.63303 3.64265 0.0002582470 3.48528 356.002 0.019390 809.034 286.747 0.00008973114 0.00022976045 0.0000975325 0.0000944268 213620.149 200244.647 209117.413 6.84140 1.30775 3.63670 0.0002583073 3.49268 357.012 0.019445 808.544 286.638 0.00008925701 0.00023044078 0.0000971646 0.0000948425 213166.864 199881.049 208636.717 6.90613 0.97650 3.63081 0.0002583552 3.49740 358.003 0.019499 808.077 286.537 0.00008878998 0.00023110382 0.0000967963 0.0000952444 212735.408 199540.197 208179.765 6.96976 0.65138 3.62522 0.0002583887 3.49927 359.013 0.019554 807.616 286.441 0.00008831285 0.00023177404 0.0000964141 0.0000956470 212309.779 199209.405 207729.613 7.03463 0.32040 3.61972 0.0002584091 3.49837 360.005 0.019608 807.177 286.352 0.00008784306 0.00023242701 0.0000960320 0.0000960357 211905.430 198900.645 207302.612 7.09838 -0.00436 3.61449 0.0002584157 3.49474 Engine speed (Hz) = 51.0000000000 Output power (W) = 178.2272018318 Heat into heater (W) = 362.0175079476 Heat to regenerator (W) = -0.2221844743 Heat removal from cooler (W) = 184.3392270561 Approximate Pumping loss (W) = -89.2854829669 Thermal efficiency (%) = 49.2316525911 The average engine pressure (Pa) = 273332.2763510242 The exp space work per cycle (J) = 7.0988769094 The comp space work per cycle (J) = -3.6042258931 The net work per cycle (J) = 3.4946510163 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.3521341187 The expansion work for Vmin-to-Vmax (J) = 25.8467851350 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.012 0.000001 807.799 286.419 0.00008793010 0.00023224988 0.0000960294 0.0000960384 212284.655 198790.232 207512.593 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.004 0.000054 807.374 286.338 0.00008745840 0.00023289913 0.0000956403 0.0000964206 211893.399 198498.976 207098.712 0.06360 -0.32503 -0.00506 0.0002584089 -0.00654 2.015 0.000108 806.956 286.261 0.00008697656 0.00023355533 0.0000952371 0.0000968031 211508.453 198218.485 206692.228 0.12843 -0.65589 -0.01004 0.0002583882 -0.01597 3.007 0.000161 806.559 286.192 0.00008650252 0.00023419411 0.0000948348 0.0000971716 211144.051 197959.095 206308.178 0.19206 -0.98029 -0.01473 0.0002583544 -0.02794 4.018 0.000215 806.169 286.127 0.00008601848 0.00023483950 0.0000944185 0.0000975397 210786.424 197710.963 205932.054 0.25689 -1.31040 -0.01933 0.0002583063 -0.04288 5.010 0.000268 805.801 286.070 0.00008554244 0.00023546751 0.0000940037 0.0000978939 210448.797 197483.227 205577.771 0.32050 -1.63396 -0.02367 0.0002582456 -0.06023 6.002 0.000321 805.447 286.020 0.00008506553 0.00023609007 0.0000935827 0.0000982408 210124.405 197271.095 205238.208 0.38407 -1.95703 -0.02782 0.0002581715 -0.08022 7.013 0.000375 805.100 285.974 0.00008457883 0.00023671869 0.0000931478 0.0000985867 209807.486 197070.960 204907.364 0.44879 -2.28563 -0.03187 0.0002580825 -0.10330 8.005 0.000428 804.774 285.935 0.00008410043 0.00023733002 0.0000927150 0.0000989187 209509.763 196890.187 204597.480 0.51224 -2.60755 -0.03566 0.0002579817 -0.12859 9.016 0.000482 804.457 285.902 0.00008361236 0.00023794705 0.0000922682 0.0000992492 209219.987 196721.908 204296.849 0.57680 -2.93488 -0.03934 0.0002578653 -0.15705 10.008 0.000535 804.159 285.876 0.00008313279 0.00023854683 0.0000918240 0.0000995658 208948.876 196572.313 204016.596 0.64007 -3.25544 -0.04277 0.0002577379 -0.18759 11.000 0.000588 803.876 285.855 0.00008265277 0.00023914078 0.0000913745 0.0000998748 208690.929 196438.096 203751.004 0.70322 -3.57526 -0.04602 0.0002575972 -0.22071 12.011 0.000642 803.602 285.840 0.00008216331 0.00023973985 0.0000909110 0.0001001814 208441.643 196317.122 203495.473 0.76742 -3.90030 -0.04914 0.0002574405 -0.25710 13.003 0.000695 803.348 285.832 0.00008168262 0.00024032179 0.0000904509 0.0001004745 208210.243 196213.833 203259.459 0.83028 -4.21846 -0.05203 0.0002572734 -0.29539 14.014 0.000749 803.103 285.829 0.00008119264 0.00024090845 0.0000899770 0.0001007648 207987.989 196124.292 203034.051 0.89416 -4.54170 -0.05479 0.0002570898 -0.33701 15.006 0.000802 802.878 285.832 0.00008071161 0.00024147804 0.0000895070 0.0001010415 207783.109 196051.778 202827.594 0.95667 -4.85799 -0.05731 0.0002568965 -0.38041 16.017 0.000856 802.662 285.842 0.00008022146 0.00024205197 0.0000890232 0.0001013151 207587.866 195993.521 202632.294 1.02016 -5.17923 -0.05970 0.0002566864 -0.42720 17.009 0.000909 802.466 285.857 0.00007974042 0.00024260890 0.0000885438 0.0001015753 207409.492 195951.644 202455.385 1.08225 -5.49345 -0.06187 0.0002564671 -0.47565 18.001 0.000962 802.283 285.877 0.00007925950 0.00024315942 0.0000880600 0.0001018271 207244.246 195924.894 202293.113 1.14411 -5.80657 -0.06385 0.0002562351 -0.52658 19.012 0.001016 802.112 285.905 0.00007876972 0.00024371367 0.0000875626 0.0001020750 207089.388 195913.165 202142.836 1.20688 -6.12441 -0.06569 0.0002559856 -0.58101 20.004 0.001069 801.959 285.937 0.00007828929 0.00024425103 0.0000870702 0.0001023098 206950.657 195916.864 202010.125 1.26822 -6.43514 -0.06731 0.0002557280 -0.63690 21.015 0.001123 801.818 285.976 0.00007780017 0.00024479169 0.0000865645 0.0001025401 206822.824 195936.101 201889.980 1.33042 -6.75044 -0.06878 0.0002554526 -0.69635 22.008 0.001176 801.694 286.020 0.00007732056 0.00024531553 0.0000860642 0.0001027575 206710.635 195970.137 201786.859 1.39116 -7.05858 -0.07004 0.0002551697 -0.75714 23.018 0.001230 801.582 286.071 0.00007683244 0.00024584224 0.0000855507 0.0001029701 206609.865 196020.230 201696.882 1.45273 -7.37113 -0.07114 0.0002548688 -0.82155 24.011 0.001283 801.487 286.126 0.00007635399 0.00024635221 0.0000850431 0.0001031699 206524.262 196084.502 201623.396 1.51281 -7.67646 -0.07204 0.0002545610 -0.88718 25.003 0.001336 801.407 286.187 0.00007587623 0.00024685519 0.0000845322 0.0001033608 206451.850 196163.717 201564.612 1.57253 -7.98032 -0.07276 0.0002542410 -0.95519 26.014 0.001390 801.341 286.255 0.00007539027 0.00024736035 0.0000840083 0.0001035463 206391.658 196259.771 201519.856 1.63300 -8.28834 -0.07331 0.0002539026 -1.02690 27.006 0.001443 801.290 286.328 0.00007491417 0.00024784891 0.0000834910 0.0001037193 206345.936 196369.088 201490.807 1.69196 -8.58907 -0.07367 0.0002535583 -1.09966 28.017 0.001497 801.253 286.407 0.00007443006 0.00024833920 0.0000829609 0.0001038863 206312.984 196495.772 201476.393 1.75161 -8.89379 -0.07384 0.0002531952 -1.17617 29.009 0.001550 801.232 286.491 0.00007395597 0.00024881296 0.0000824379 0.0001040411 206294.048 196635.113 201477.172 1.80972 -9.19117 -0.07383 0.0002528270 -1.25360 30.001 0.001603 801.226 286.580 0.00007348299 0.00024927926 0.0000819123 0.0001041868 206288.423 196789.299 201492.766 1.86739 -9.48680 -0.07364 0.0002524471 -1.33333 31.012 0.001657 801.235 286.677 0.00007300232 0.00024974656 0.0000813742 0.0001043259 206296.415 196961.644 201523.922 1.92567 -9.78616 -0.07326 0.0002520481 -1.41690 32.004 0.001710 801.258 286.777 0.00007253185 0.00025019747 0.0000808438 0.0001044532 206317.763 197145.749 201569.520 1.98238 -10.07811 -0.07270 0.0002516450 -1.50121 33.015 0.001764 801.298 286.885 0.00007205392 0.00025064889 0.0000803012 0.0001045734 206353.313 197348.547 201631.318 2.03966 -10.37360 -0.07195 0.0002512226 -1.58941 34.007 0.001817 801.351 286.996 0.00007158631 0.00025108400 0.0000797666 0.0001046820 206401.790 197562.510 201707.067 2.09534 -10.66163 -0.07102 0.0002507967 -1.67823 35.018 0.001871 801.421 287.115 0.00007111147 0.00025151912 0.0000792202 0.0001047832 206465.071 197795.699 201799.667 2.15153 -10.95302 -0.06989 0.0002503514 -1.77100 36.010 0.001924 801.505 287.237 0.00007064708 0.00025193801 0.0000786822 0.0001048731 206540.860 198039.463 201905.736 2.20612 -11.23690 -0.06859 0.0002499032 -1.86427 37.002 0.001977 801.604 287.364 0.00007018441 0.00025234872 0.0000781427 0.0001049536 206630.253 198297.967 202026.893 2.26013 -11.51865 -0.06711 0.0002494443 -1.95971 38.013 0.002031 801.720 287.500 0.00006971487 0.00025275862 0.0000775917 0.0001050261 206735.383 198576.495 202165.909 2.31456 -11.80344 -0.06541 0.0002489658 -2.05917 39.005 0.002084 801.849 287.638 0.00006925594 0.00025315244 0.0000770497 0.0001050877 206852.416 198864.718 202317.688 2.36736 -12.08068 -0.06355 0.0002484855 -2.15895 40.016 0.002138 801.997 287.784 0.00006879041 0.00025354491 0.0000764965 0.0001051409 206985.833 199173.498 202488.019 2.42050 -12.36077 -0.06147 0.0002479854 -2.26280 41.008 0.002191 802.157 287.933 0.00006833559 0.00025392138 0.0000759527 0.0001051836 207130.761 199491.386 202670.656 2.47201 -12.63326 -0.05923 0.0002474843 -2.36685 42.000 0.002244 802.332 288.087 0.00006788295 0.00025428909 0.0000754083 0.0001052168 207289.613 199823.946 202868.674 2.52286 -12.90331 -0.05681 0.0002469731 -2.47298 43.011 0.002298 802.526 288.249 0.00006742409 0.00025465458 0.0000748531 0.0001052410 207465.860 200177.858 203086.319 2.57395 -13.17588 -0.05415 0.0002464421 -2.58325 44.004 0.002351 802.732 288.413 0.00006697611 0.00025500421 0.0000743078 0.0001052552 207653.056 200539.999 203315.602 2.62339 -13.44080 -0.05134 0.0002459110 -2.69354 45.014 0.002405 802.958 288.586 0.00006652219 0.00025535104 0.0000737520 0.0001052600 207858.352 200924.017 203565.258 2.67302 -13.70802 -0.04829 0.0002453601 -2.80800 46.007 0.002458 803.196 288.761 0.00006607925 0.00025568208 0.0000732066 0.0001052551 208074.237 201315.674 203826.120 2.72098 -13.96756 -0.04510 0.0002448098 -2.92237 47.017 0.002512 803.454 288.944 0.00006563066 0.00025600970 0.0000726510 0.0001052405 208308.954 201729.730 204108.122 2.76905 -14.22916 -0.04165 0.0002442395 -3.04095 48.010 0.002565 803.723 289.130 0.00006519315 0.00025632162 0.0000721061 0.0001052166 208553.912 202150.831 204400.911 2.81546 -14.48306 -0.03807 0.0002436707 -3.15932 49.002 0.002618 804.008 289.320 0.00006475846 0.00025662387 0.0000715617 0.0001051832 208813.427 202586.485 204709.654 2.86106 -14.73406 -0.03429 0.0002430929 -3.27965 50.013 0.002672 804.315 289.518 0.00006431858 0.00025692173 0.0000710076 0.0001051395 209092.923 203045.306 205040.734 2.90667 -14.98674 -0.03024 0.0002424952 -3.40424 51.005 0.002725 804.632 289.719 0.00006388990 0.00025720403 0.0000704647 0.0001050872 209382.167 203510.273 205381.994 2.95060 -15.23169 -0.02606 0.0002418999 -3.52845 52.016 0.002779 804.971 289.928 0.00006345635 0.00025748125 0.0000699125 0.0001050241 209692.200 203998.904 205746.428 2.99448 -15.47806 -0.02161 0.0002412847 -3.65695 53.008 0.002832 805.320 290.138 0.00006303408 0.00025774299 0.0000693717 0.0001049528 210011.672 204493.073 206120.654 3.03665 -15.71666 -0.01703 0.0002406726 -3.78496 54.000 0.002885 805.686 290.353 0.00006261514 0.00025799432 0.0000688323 0.0001048722 210346.316 205001.658 206511.390 3.07794 -15.95201 -0.01225 0.0002400525 -3.91482 55.011 0.002939 806.075 290.576 0.00006219182 0.00025823953 0.0000682842 0.0001047804 210703.028 205534.627 206926.610 3.11906 -16.18839 -0.00717 0.0002394126 -4.04902 56.003 0.002992 806.474 290.801 0.00006177991 0.00025846936 0.0000677478 0.0001046809 211068.746 206072.201 207351.074 3.15847 -16.41697 -0.00198 0.0002387768 -4.18255 57.014 0.003046 806.897 291.035 0.00006136397 0.00025869232 0.0000672033 0.0001045700 211457.437 206634.618 207800.947 3.19765 -16.64628 0.00353 0.0002381213 -4.32044 58.006 0.003099 807.329 291.269 0.00006095952 0.00025889998 0.0000666707 0.0001044519 211854.872 207200.996 208259.721 3.23512 -16.86777 0.00914 0.0002374707 -4.45757 59.017 0.003153 807.786 291.512 0.00006055140 0.00025910000 0.0000661304 0.0001043220 212276.232 207792.651 208744.874 3.27227 -17.08970 0.01507 0.0002368004 -4.59907 60.009 0.003206 808.252 291.756 0.00006015483 0.00025928477 0.0000656023 0.0001041854 212706.098 208387.604 209238.609 3.30771 -17.30377 0.02111 0.0002361357 -4.73968 61.001 0.003259 808.735 292.004 0.00005976234 0.00025945792 0.0000650767 0.0001040395 213152.319 208996.609 209749.928 3.34213 -17.51405 0.02737 0.0002354643 -4.88199 62.012 0.003313 809.244 292.261 0.00005936676 0.00025962219 0.0000645439 0.0001038816 213623.994 209631.473 210289.179 3.37611 -17.72431 0.03397 0.0002347735 -5.02871 63.004 0.003366 809.762 292.519 0.00005898284 0.00025977129 0.0000640237 0.0001037175 214103.879 210268.592 210836.601 3.40837 -17.92668 0.04066 0.0002340892 -5.17438 64.015 0.003420 810.308 292.785 0.00005859623 0.00025991061 0.0000634967 0.0001035411 214610.327 210931.902 211413.085 3.44012 -18.12869 0.04772 0.0002333858 -5.32447 65.007 0.003473 810.861 293.051 0.00005822136 0.00026003478 0.0000629825 0.0001033589 215124.838 211596.717 211997.528 3.47016 -18.32278 0.05486 0.0002326895 -5.47340 66.018 0.003527 811.443 293.327 0.00005784422 0.00026014822 0.0000624620 0.0001031642 215667.115 212287.982 212612.268 3.49960 -18.51616 0.06238 0.0002319742 -5.62675 67.010 0.003580 812.033 293.601 0.00005747890 0.00026024648 0.0000619546 0.0001029641 216217.373 212979.933 213234.842 3.52733 -18.70158 0.07000 0.0002312667 -5.77884 68.003 0.003633 812.641 293.880 0.00005711851 0.00026033150 0.0000614506 0.0001027553 216785.820 213685.058 213876.804 3.55387 -18.88254 0.07785 0.0002305540 -5.93245 69.013 0.003687 813.279 294.168 0.00005675653 0.00026040417 0.0000609410 0.0001025337 217384.077 214416.795 214551.239 3.57968 -19.06221 0.08610 0.0002298227 -6.09050 70.006 0.003740 813.925 294.455 0.00005640652 0.00026046145 0.0000604447 0.0001023074 217990.417 215147.748 215233.674 3.60376 -19.23382 0.09445 0.0002291001 -6.24710 71.016 0.003794 814.603 294.751 0.00005605543 0.00026050504 0.0000599431 0.0001020680 218628.244 215905.093 215950.542 3.62700 -19.40368 0.10322 0.0002283592 -6.40816 72.009 0.003847 815.289 295.044 0.00005571645 0.00026053270 0.0000594550 0.0001018245 219274.582 216660.182 216676.286 3.64849 -19.56531 0.11210 0.0002276276 -6.56766 73.001 0.003900 815.995 295.341 0.00005538328 0.00026054426 0.0000589712 0.0001015726 219941.999 217425.709 217426.054 3.66861 -19.72162 0.12127 0.0002268919 -6.72855 74.012 0.003954 816.738 295.647 0.00005505008 0.00026053996 0.0000584828 0.0001013074 220645.041 218217.183 218212.815 3.68770 -19.87534 0.13088 0.0002261382 -6.89388 75.004 0.004007 817.486 295.954 0.00005472882 0.00026052538 0.0000580081 0.0001010387 221355.149 219011.928 218995.742 3.70535 -20.02184 0.14039 0.0002253949 -7.05749 76.015 0.004061 818.265 296.272 0.00005440689 0.00026050000 0.0000575293 0.0001007566 222095.973 219840.115 219805.417 3.72225 -20.16688 0.15020 0.0002246339 -7.22553 77.007 0.004114 819.044 296.591 0.00005409599 0.00026046472 0.0000570643 0.0001004715 222838.229 220671.190 220612.437 3.73780 -20.30518 0.15994 0.0002238838 -7.39175 78.018 0.004168 819.850 296.922 0.00005378429 0.00026041818 0.0000565956 0.0001001728 223608.782 221536.607 221447.573 3.75259 -20.44202 0.17001 0.0002231164 -7.56238 79.010 0.004221 820.654 297.253 0.00005348332 0.00026036204 0.0000561409 0.0000998716 224378.424 222404.379 222280.059 3.76608 -20.57230 0.18003 0.0002223605 -7.73107 80.002 0.004274 821.468 297.590 0.00005318732 0.00026029546 0.0000556914 0.0000995626 225160.906 223290.407 223125.322 3.77853 -20.69857 0.19020 0.0002216020 -7.90093 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0.0001001810 0.0000566083 285471.243 275585.086 285326.333 3.04362 21.43244 4.59042 0.0002231374 -4.91413 283.002 0.015118 877.692 312.841 0.00011330022 0.00017412522 0.0001004740 0.0000570684 284054.116 273950.135 283871.006 3.07774 21.28481 4.57262 0.0002238905 -4.70423 284.013 0.015172 876.427 312.250 0.00011321704 0.00017484196 0.0001007644 0.0000575423 282619.588 272297.333 282394.037 3.11293 21.12879 4.55455 0.0002246547 -4.49249 285.005 0.015225 875.188 311.675 0.00011312609 0.00017555207 0.0001010411 0.0000580123 281221.076 270688.328 280950.641 3.14787 20.97025 4.53689 0.0002254015 -4.28680 286.016 0.015279 873.931 311.093 0.00011302404 0.00017628202 0.0001013147 0.0000584961 279806.088 269062.835 279486.849 3.18390 20.80331 4.51899 0.0002261588 -4.07945 287.008 0.015332 872.701 310.527 0.00011291480 0.00017700446 0.0001015749 0.0000589755 278427.297 267481.463 278057.337 3.21969 20.63427 4.50150 0.0002268984 -3.87817 288.000 0.015385 871.476 309.965 0.00011279665 0.00017773257 0.0001018267 0.0000594593 277058.656 265914.362 276635.366 3.25592 20.46018 4.48410 0.0002276341 -3.67913 289.011 0.015439 870.233 309.398 0.00011266725 0.00017847994 0.0001020747 0.0000599567 275674.878 264332.750 275194.750 3.29327 20.27770 4.46648 0.0002283794 -3.47869 290.003 0.015492 869.018 308.847 0.00011253148 0.00017921861 0.0001023094 0.0000604491 274327.448 262795.555 273789.245 3.33039 20.09371 4.44929 0.0002291065 -3.28430 291.014 0.015546 867.787 308.290 0.00011238436 0.00017997616 0.0001025398 0.0000609548 272965.747 261245.112 272366.206 3.36867 19.90136 4.43188 0.0002298427 -3.08869 292.006 0.015599 866.583 307.749 0.00011223143 0.00018072426 0.0001027572 0.0000614551 271640.421 259739.158 270978.705 3.40670 19.70787 4.41491 0.0002305603 -2.89911 293.017 0.015653 865.364 307.204 0.00011206706 0.00018149088 0.0001029698 0.0000619686 270301.666 258221.166 269574.745 3.44592 19.50604 4.39773 0.0002312864 -2.70847 294.009 0.015706 864.173 306.674 0.00011189743 0.00018224735 0.0001031696 0.0000624761 268999.258 256747.634 268206.660 3.48489 19.30343 4.38100 0.0002319937 -2.52385 295.001 0.015759 862.989 306.151 0.00011171972 0.00018300759 0.0001033606 0.0000629871 267708.480 255290.553 266848.676 3.52433 19.09646 4.36438 0.0002326957 -2.34174 296.012 0.015813 861.790 305.623 0.00011153044 0.00018378578 0.0001035460 0.0000635110 266405.488 253823.145 265475.773 3.56501 18.88119 4.34759 0.0002334050 -2.15879 297.004 0.015866 860.620 305.111 0.00011133673 0.00018455287 0.0001037190 0.0000640283 265138.707 252399.978 264139.093 3.60542 18.66569 4.33124 0.0002340953 -1.98182 298.015 0.015920 859.435 304.596 0.00011113140 0.00018533756 0.0001038861 0.0000645583 263860.497 250967.559 262788.485 3.64709 18.44191 4.31471 0.0002347924 -1.80418 299.007 0.015973 858.280 304.097 0.00011092217 0.00018611054 0.0001040409 0.0000650814 262618.349 249579.129 261474.239 3.68849 18.21825 4.29864 0.0002354702 -1.63246 300.018 0.016027 857.110 303.595 0.00011070127 0.00018690076 0.0001041893 0.0000656169 261365.535 248182.471 260147.026 3.73117 17.98636 4.28240 0.0002361542 -1.46023 301.010 0.016080 855.971 303.108 0.00011047701 0.00018767872 0.0001043257 0.0000661450 260148.590 246829.471 258856.245 3.77356 17.75491 4.26661 0.0002368188 -1.29388 302.003 0.016133 854.840 302.628 0.00011024546 0.00018845881 0.0001044530 0.0000666755 258944.321 245494.238 257577.440 3.81645 17.51974 4.25097 0.0002374765 -1.13022 303.013 0.016187 853.695 302.145 0.00011000219 0.00018925561 0.0001045732 0.0000672180 257730.488 244152.217 256287.049 3.86066 17.27639 4.23518 0.0002381393 -0.96627 304.006 0.016240 852.581 301.678 0.00010975632 0.00019003938 0.0001046819 0.0000677526 256552.162 242853.227 255033.077 3.90456 17.03398 4.21984 0.0002387824 -0.80811 305.016 0.016294 851.454 301.209 0.00010949870 0.00019083949 0.0001047830 0.0000682990 255364.985 241548.355 253768.410 3.94980 16.78344 4.20437 0.0002394301 -0.64980 306.009 0.016347 850.358 300.756 0.00010923897 0.00019162612 0.0001048729 0.0000688370 254213.025 240286.018 252540.079 3.99471 16.53414 4.18934 0.0002400580 -0.49722 307.001 0.016400 849.270 300.309 0.00010897256 0.00019241387 0.0001049535 0.0000693765 253074.266 239041.959 251324.722 4.04013 16.28155 4.17448 0.0002406781 -0.34743 308.012 0.016454 848.172 299.861 0.00010869437 0.00019321743 0.0001050260 0.0000699275 251927.686 237793.293 250099.953 4.08692 16.02091 4.15949 0.0002413015 -0.19769 309.004 0.016507 847.103 299.428 0.00010841481 0.00019400687 0.0001050877 0.0000704695 250815.831 236586.323 248911.296 4.13335 15.76196 4.14495 0.0002419052 -0.05358 310.015 0.016561 846.024 298.993 0.00010812347 0.00019481179 0.0001051408 0.0000710227 249696.820 235375.551 247714.053 4.18117 15.49501 4.13031 0.0002425116 0.09033 311.007 0.016614 844.975 298.574 0.00010783124 0.00019560218 0.0001051835 0.0000715665 248612.168 234205.858 246552.711 4.22862 15.23002 4.11610 0.0002430980 0.22871 312.018 0.016668 843.916 298.154 0.00010752721 0.00019640771 0.0001052173 0.0000721212 247521.008 233033.132 245383.585 4.27747 14.95709 4.10180 0.0002436866 0.36675 313.010 0.016721 842.887 297.748 0.00010722277 0.00019719837 0.0001052410 0.0000726662 246463.813 231900.826 244250.104 4.32591 14.68640 4.08793 0.0002442552 0.49933 314.002 0.016774 841.868 297.350 0.00010691246 0.00019798890 0.0001052552 0.0000732114 245420.300 230787.062 243130.606 4.37485 14.41301 4.07424 0.0002448147 0.62904 315.013 0.016828 840.840 296.951 0.00010659036 0.00019879406 0.0001052600 0.0000737672 244371.219 229671.355 242004.482 4.42522 14.13176 4.06046 0.0002453752 0.75822 316.005 0.016881 839.843 296.566 0.00010626852 0.00019958387 0.0001052552 0.0000743126 243355.469 228595.026 240913.544 4.47516 13.85315 4.04712 0.0002459158 0.88207 317.016 0.016935 838.837 296.182 0.00010593491 0.00020038796 0.0001052405 0.0000748682 242334.759 227517.448 239816.726 4.52653 13.56675 4.03370 0.0002464567 1.00527 318.008 0.016988 837.861 295.811 0.00010560201 0.00020117641 0.0001052166 0.0000754131 241346.928 226478.516 238754.741 4.57743 13.28323 4.02071 0.0002469777 1.12325 319.000 0.017041 836.896 295.448 0.00010526379 0.00020196397 0.0001051833 0.0000759575 240372.974 225458.078 237707.227 4.62881 12.99740 4.00789 0.0002474888 1.23831 320.011 0.017095 835.924 295.085 0.00010491384 0.00020276532 0.0001051396 0.0000765116 239394.944 224437.380 236654.911 4.68165 12.70387 3.99502 0.0002479992 1.35253 321.003 0.017148 834.981 294.735 0.00010456523 0.00020355064 0.0001050872 0.0000770545 238449.083 223454.193 235636.840 4.73398 12.41358 3.98257 0.0002484898 1.46167 322.014 0.017202 834.032 294.387 0.00010420491 0.00020434943 0.0001050242 0.0000776067 237499.719 222471.379 234614.663 4.78777 12.11567 3.97006 0.0002489790 1.56985 323.006 0.017255 833.112 294.051 0.00010384634 0.00020513196 0.0001049529 0.0000781475 236582.030 221525.297 233626.300 4.84103 11.82122 3.95797 0.0002494484 1.67306 324.017 0.017309 832.186 293.717 0.00010347611 0.00020592764 0.0001048707 0.0000786971 235661.398 220580.199 232634.511 4.89575 11.51922 3.94584 0.0002499158 1.77520 325.009 0.017362 831.290 293.396 0.00010310802 0.00020670685 0.0001047805 0.0000792351 234771.931 219671.040 231676.079 4.94991 11.22091 3.93411 0.0002503636 1.87247 326.002 0.017415 830.405 293.081 0.00010273538 0.00020748423 0.0001046811 0.0000797714 233896.455 218780.095 230732.542 5.00451 10.92079 3.92257 0.0002508005 1.96680 327.012 0.017469 829.516 292.768 0.00010235112 0.00020827427 0.0001045702 0.0000803160 233018.853 217891.016 229786.563 5.06057 10.61322 3.91100 0.0002512342 2.05988 328.005 0.017522 828.655 292.468 0.00010196960 0.00020904758 0.0001044521 0.0000808485 232171.631 217036.674 228873.215 5.11603 10.30965 3.89983 0.0002516486 2.14826 329.016 0.017576 827.790 292.169 0.00010157652 0.00020983322 0.0001043222 0.0000813889 231322.816 216184.767 227958.063 5.17296 9.99870 3.88863 0.0002520591 2.23528 330.008 0.017629 826.953 291.882 0.00010118654 0.00021060199 0.0001041856 0.0000819169 230503.843 215366.786 227075.029 5.22924 9.69196 3.87783 0.0002524505 2.31772 331.019 0.017683 826.114 291.598 0.00010078505 0.00021138277 0.0001040369 0.0000824524 229683.800 214551.795 226190.817 5.28700 9.37791 3.86701 0.0002528374 2.39869 332.011 0.017736 825.302 291.325 0.00010038702 0.00021214654 0.0001038819 0.0000829754 228893.051 213769.915 225338.195 5.34408 9.06826 3.85658 0.0002532053 2.47520 333.003 0.017789 824.503 291.059 0.00009998516 0.00021290766 0.0001037178 0.0000834956 228116.268 213005.816 224500.663 5.40155 8.75726 3.84634 0.0002535614 2.54876 334.014 0.017843 823.701 290.796 0.00009957187 0.00021368033 0.0001035414 0.0000840226 227339.181 212245.517 223662.860 5.46048 8.43908 3.83609 0.0002539120 2.62070 335.006 0.017896 822.927 290.544 0.00009916257 0.00021443581 0.0001033592 0.0000845367 226590.558 211517.108 222855.829 5.51868 8.12556 3.82621 0.0002542439 2.68835 336.017 0.017950 822.151 290.294 0.00009874191 0.00021520252 0.0001031645 0.0000850573 225842.131 210793.026 222049.120 5.57835 7.80494 3.81635 0.0002545697 2.75427 337.009 0.018003 821.402 290.056 0.00009832557 0.00021595194 0.0001029644 0.0000855647 225121.605 210100.018 221272.618 5.63726 7.48915 3.80685 0.0002548772 2.81602 338.001 0.018056 820.667 289.824 0.00009790589 0.00021669822 0.0001027556 0.0000860686 224414.969 209424.438 220511.243 5.69650 7.17233 3.79753 0.0002551723 2.87485 339.012 0.018110 819.930 289.596 0.00009747495 0.00021745525 0.0001025340 0.0000865783 223709.268 208753.960 219751.058 5.75720 6.84852 3.78823 0.0002554603 2.93180 340.004 0.018163 819.220 289.378 0.00009704881 0.00021819489 0.0001023077 0.0000870746 223030.617 208113.343 219020.217 5.81708 6.52980 3.77929 0.0002557303 2.98476 341.015 0.018217 818.510 289.162 0.00009661149 0.00021894495 0.0001020684 0.0000875762 222353.386 207478.336 218291.135 5.87840 6.20418 3.77037 0.0002559925 3.03575 342.007 0.018270 817.827 288.958 0.00009617928 0.00021967757 0.0001018249 0.0000880643 221702.634 206872.386 217590.809 5.93889 5.88379 3.76181 0.0002562372 3.08287 343.018 0.018324 817.144 288.756 0.00009573597 0.00022042030 0.0001015682 0.0000885572 221053.780 206272.549 216892.802 6.00080 5.55660 3.75327 0.0002564733 3.12791 344.010 0.018377 816.487 288.565 0.00009529807 0.00022114554 0.0001013078 0.0000890365 220430.833 205700.968 216222.957 6.06183 5.23478 3.74507 0.0002566922 3.16921 345.002 0.018430 815.843 288.381 0.00009485748 0.00022186699 0.0001010391 0.0000895112 219821.622 205146.303 215568.193 6.12312 4.91234 3.73706 0.0002568983 3.20765 346.013 0.018484 815.200 288.200 0.00009440592 0.00022259807 0.0001007570 0.0000899900 219215.017 204598.495 214916.573 6.18581 4.58323 3.72909 0.0002570950 3.24387 347.005 0.018537 814.583 288.028 0.00009396019 0.00022331162 0.0001004719 0.0000904550 218633.461 204077.761 214292.217 6.24758 4.25970 3.72146 0.0002572750 3.27654 348.016 0.018591 813.968 287.861 0.00009350358 0.00022403447 0.0001001732 0.0000909237 218054.981 203564.378 213671.548 6.31074 3.92961 3.71386 0.0002574449 3.30690 349.008 0.018644 813.378 287.702 0.00009305308 0.00022473978 0.0000998721 0.0000913785 217500.977 203077.288 213077.538 6.37293 3.60522 3.70660 0.0002575985 3.33383 350.001 0.018697 812.802 287.551 0.00009260036 0.00022544087 0.0000995631 0.0000918280 216960.579 202606.759 212498.534 6.43532 3.28048 3.69951 0.0002577391 3.35794 351.012 0.018751 812.228 287.403 0.00009213688 0.00022615079 0.0000992403 0.0000922804 216423.954 202144.312 211924.022 6.49907 2.94933 3.69249 0.0002578687 3.37961 352.004 0.018804 811.679 287.264 0.00009167992 0.00022684315 0.0000989158 0.0000927188 215910.950 201707.008 211375.261 6.56181 2.62406 3.68577 0.0002579826 3.39805 353.015 0.018858 811.133 287.129 0.00009121231 0.00022754400 0.0000985774 0.0000931597 215402.181 201278.275 210831.524 6.62590 2.29248 3.67912 0.0002580851 3.41395 354.007 0.018911 810.611 287.004 0.00009075147 0.00022822730 0.0000982377 0.0000935865 214916.463 200873.927 210312.931 6.68893 1.96690 3.67278 0.0002581723 3.42675 355.018 0.018965 810.093 286.882 0.00009028008 0.00022891875 0.0000978841 0.0000940153 214435.443 200478.637 209799.892 6.75329 1.63510 3.66650 0.0002582474 3.43694 356.010 0.019018 809.599 286.769 0.00008981570 0.00022959268 0.0000975298 0.0000944299 213976.908 200106.983 209311.389 6.81656 1.30942 3.66052 0.0002583078 3.44415 357.002 0.019071 809.119 286.662 0.00008934970 0.00023026184 0.0000971683 0.0000948384 213531.801 199751.429 208837.763 6.87994 0.98377 3.65473 0.0002583548 3.44860 358.013 0.019125 808.643 286.560 0.00008887333 0.00023093866 0.0000967928 0.0000952481 213092.080 199405.664 208370.480 6.94459 0.65206 3.64901 0.0002583890 3.45032 359.005 0.019178 808.191 286.466 0.00008840432 0.00023159798 0.0000964173 0.0000956437 212674.007 199082.433 207926.829 7.00812 0.32663 3.64359 0.0002584090 3.44925 360.016 0.019232 807.744 286.376 0.00008792505 0.00023226461 0.0000960277 0.0000960401 212261.782 198769.478 207490.049 7.07290 -0.00475 3.63824 0.0002584157 3.44536 Engine speed (Hz) = 52.0000000000 Output power (W) = 179.1535844847 Heat into heater (W) = 367.7908331453 Heat to regenerator (W) = -0.2472328261 Heat removal from cooler (W) = 189.1886842952 Approximate Pumping loss (W) = -94.1735499361 Thermal efficiency (%) = 48.7107258635 The average engine pressure (Pa) = 273393.5503332770 The exp space work per cycle (J) = 7.0732028044 The comp space work per cycle (J) = -3.6279415643 The net work per cycle (J) = 3.4452612401 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.3795993807 The expansion work for Vmin-to-Vmax (J) = 25.8248606207 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.010 0.000001 808.380 286.444 0.00008801922 0.00023207685 0.0000960299 0.0000960378 212651.456 198660.183 207708.237 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000053 807.956 286.363 0.00008754725 0.00023272698 0.0000956408 0.0000964201 212260.207 198370.720 207292.914 0.06339 -0.32530 -0.00508 0.0002584089 -0.00673 2.013 0.000106 807.537 286.286 0.00008706493 0.00023338436 0.0000952375 0.0000968027 211875.045 198091.990 206884.788 0.12802 -0.65658 -0.01007 0.0002583882 -0.01635 3.006 0.000158 807.141 286.218 0.00008659056 0.00023402412 0.0000948353 0.0000971712 211510.486 197834.457 206499.241 0.19145 -0.98129 -0.01479 0.0002583545 -0.02851 4.017 0.000211 806.751 286.154 0.00008610596 0.00023467078 0.0000944188 0.0000975395 211152.484 197588.161 206121.428 0.25610 -1.31187 -0.01941 0.0002583063 -0.04365 5.009 0.000263 806.383 286.098 0.00008562952 0.00023529986 0.0000940040 0.0000978936 210814.531 197362.344 205765.591 0.31951 -1.63579 -0.02376 0.0002582456 -0.06119 6.001 0.000315 806.029 286.048 0.00008515218 0.00023592354 0.0000935830 0.0000982405 210489.726 197152.159 205424.444 0.38288 -1.95924 -0.02794 0.0002581716 -0.08138 7.012 0.000368 805.682 286.003 0.00008466482 0.00023655357 0.0000931479 0.0000985866 210172.187 196953.967 205091.841 0.44743 -2.28837 -0.03201 0.0002580825 -0.10466 8.005 0.000420 805.355 285.966 0.00008418592 0.00023716610 0.0000927151 0.0000989186 209873.880 196775.201 204780.318 0.51069 -2.61072 -0.03582 0.0002579817 -0.13015 9.016 0.000473 805.037 285.933 0.00008369713 0.00023778462 0.0000922682 0.0000992492 209583.316 196608.937 204477.883 0.57509 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0.00011193546 0.00018212644 0.0001031705 0.0000624785 269209.299 256598.532 268399.892 3.47552 19.27122 4.40494 0.0002319971 -2.56511 295.006 0.015462 863.382 306.187 0.00011175903 0.00018288464 0.0001033615 0.0000629895 267922.172 255139.234 267043.648 3.51478 19.06517 4.38835 0.0002326990 -2.38303 296.017 0.015515 862.186 305.658 0.00011157099 0.00018366108 0.0001035469 0.0000635136 266622.438 253669.157 265671.961 3.55528 18.85077 4.37157 0.0002334085 -2.20007 297.009 0.015567 861.019 305.145 0.00011137857 0.00018442619 0.0001037199 0.0000640309 265359.308 252243.994 264336.889 3.59550 18.63618 4.35524 0.0002340988 -2.02315 298.002 0.015619 859.860 304.638 0.00011117840 0.00018519437 0.0001038839 0.0000645511 264108.297 250836.047 263012.728 3.63621 18.41750 4.33904 0.0002347830 -1.84882 299.013 0.015672 858.686 304.128 0.00011096653 0.00018598024 0.0001040417 0.0000650842 262845.850 249418.930 261674.606 3.67819 18.19050 4.32267 0.0002354739 -1.67384 300.005 0.015724 857.543 303.634 0.00011075107 0.00018675391 0.0001041874 0.0000656099 261619.746 248046.290 260373.275 3.71987 17.96384 4.30675 0.0002361452 -1.50483 301.016 0.015777 856.385 303.137 0.00011052386 0.00018754492 0.0001043265 0.0000661481 260382.962 246665.494 259058.936 3.76286 17.72889 4.29067 0.0002368226 -1.33532 302.008 0.015829 855.258 302.656 0.00011029359 0.00018832319 0.0001044537 0.0000666785 259182.294 245328.788 257781.421 3.80554 17.49461 4.27504 0.0002374803 -1.17173 303.000 0.015881 854.138 302.181 0.00011005616 0.00018910342 0.0001045717 0.0000672111 257994.400 244010.073 256516.038 3.84872 17.25669 4.25956 0.0002381308 -1.01085 304.012 0.015934 853.006 301.704 0.00010980691 0.00018990045 0.0001046825 0.0000677559 256796.921 242684.628 255239.022 3.89323 17.01053 4.24394 0.0002387864 -0.84970 305.004 0.015986 851.905 301.243 0.00010955536 0.00019068401 0.0001047818 0.0000682922 255635.146 241402.570 253998.763 3.93741 16.76552 4.22877 0.0002394221 -0.69437 306.015 0.016039 850.791 300.780 0.00010929197 0.00019148403 0.0001048735 0.0000688406 254464.492 240114.679 252747.756 3.98295 16.51233 4.21347 0.0002400621 -0.53891 307.007 0.016091 849.707 300.332 0.00010902679 0.00019227012 0.0001049540 0.0000693801 253329.225 238869.632 251533.392 4.02814 16.26058 4.19861 0.0002406821 -0.38921 308.019 0.016144 848.612 299.883 0.00010874974 0.00019307233 0.0001050264 0.0000699313 252185.767 237619.609 250309.140 4.07471 16.00070 4.18363 0.0002413057 -0.23951 309.011 0.016196 847.547 299.449 0.00010847139 0.00019386019 0.0001050881 0.0000704732 251077.346 236411.836 249121.361 4.12091 15.74256 4.16910 0.0002419093 -0.09549 310.003 0.016248 846.492 299.022 0.00010818669 0.00019464865 0.0001051403 0.0000710162 249982.332 235222.595 247946.982 4.16760 15.48138 4.15474 0.0002425045 0.04569 311.014 0.016301 845.426 298.594 0.00010789010 0.00019545271 0.0001051838 0.0000715704 248880.122 234029.588 246763.956 4.21571 15.21214 4.14026 0.0002431023 0.18665 312.006 0.016353 844.391 298.181 0.00010759292 0.00019624185 0.0001052170 0.0000721149 247812.373 232877.863 245617.062 4.26341 14.94506 4.12623 0.0002436799 0.32206 313.017 0.016406 843.345 297.767 0.00010728385 0.00019704626 0.0001052411 0.0000726703 246738.075 231723.139 244462.320 4.31253 14.66998 4.11211 0.0002442595 0.45712 314.010 0.016458 842.330 297.368 0.00010697466 0.00019783541 0.0001052553 0.0000732156 245697.818 230609.001 243343.428 4.36123 14.39734 4.09842 0.0002448189 0.58671 315.002 0.016510 841.326 296.976 0.00010665968 0.00019862432 0.0001052600 0.0000737610 244671.248 229513.485 242238.575 4.41041 14.12205 4.08491 0.0002453690 0.71341 316.013 0.016563 840.312 296.583 0.00010633282 0.00019942799 0.0001052551 0.0000743170 243639.064 228416.059 241127.031 4.46104 13.83884 4.07131 0.0002459201 0.83956 317.005 0.016615 839.329 296.205 0.00010600651 0.00020021594 0.0001052407 0.0000748622 242640.254 227358.125 240050.838 4.51120 13.55847 4.05814 0.0002464510 0.96039 318.016 0.016668 838.338 295.827 0.00010566833 0.00020101831 0.0001052164 0.0000754176 241636.436 226298.975 238968.699 4.56282 13.27022 4.04490 0.0002469820 1.08054 319.009 0.016720 837.376 295.463 0.00010533114 0.00020180470 0.0001051829 0.0000759621 240665.520 225278.553 237921.536 4.61394 12.98505 4.03209 0.0002474930 1.19547 320.001 0.016772 836.425 295.106 0.00010498872 0.00020259008 0.0001051401 0.0000765059 239708.458 224276.669 236888.869 4.66554 12.69763 4.01946 0.0002479940 1.30747 321.012 0.016825 835.468 294.750 0.00010463445 0.00020338941 0.0001050867 0.0000770592 238747.270 223274.559 235851.335 4.71860 12.40243 4.00677 0.0002484940 1.41861 322.004 0.016877 834.540 294.407 0.00010428180 0.00020417238 0.0001050249 0.0000776012 237818.244 222310.001 234848.154 4.77113 12.11066 3.99450 0.0002489741 1.52468 323.015 0.016930 833.606 294.065 0.00010391734 0.00020496896 0.0001049523 0.0000781524 236885.665 221345.852 233840.805 4.82514 11.81118 3.98217 0.0002494527 1.62976 324.008 0.016982 832.701 293.737 0.00010355491 0.00020574896 0.0001048715 0.0000786918 235984.735 220418.450 232867.356 4.87858 11.51537 3.97027 0.0002499114 1.72989 325.019 0.017035 831.790 293.409 0.00010318068 0.00020654225 0.0001047796 0.0000792401 235080.813 219492.072 231890.419 4.93350 11.21191 3.95832 0.0002503678 1.82891 326.011 0.017087 830.909 293.094 0.00010280889 0.00020731876 0.0001046801 0.0000797764 234208.013 218601.624 230946.907 4.98783 10.91232 3.94677 0.0002508046 1.92309 327.003 0.017139 830.039 292.787 0.00010243262 0.00020809337 0.0001045713 0.0000803109 233349.150 217729.395 230018.284 5.04258 10.61098 3.93541 0.0002512302 2.01432 328.014 0.017192 829.165 292.481 0.00010204462 0.00020888079 0.0001044509 0.0000808537 232488.112 216859.080 229087.162 5.09883 10.30210 3.92402 0.0002516526 2.10427 329.007 0.017244 828.319 292.187 0.00010165962 0.00020965118 0.0001043234 0.0000813841 231657.388 216023.459 228188.709 5.15443 9.99740 3.91303 0.0002520555 2.18955 330.018 0.017297 827.470 291.895 0.00010126294 0.00021043406 0.0001041841 0.0000819223 230825.023 215190.326 227288.400 5.21152 9.68523 3.90202 0.0002524544 2.27344 331.010 0.017349 826.648 291.616 0.00010086963 0.00021119978 0.0001040382 0.0000824479 230022.420 214391.056 226420.232 5.26793 9.37745 3.89140 0.0002528341 2.35277 332.002 0.017401 825.839 291.343 0.00010047236 0.00021196301 0.0001038833 0.0000829708 229233.730 213609.689 225567.094 5.32474 9.06823 3.88096 0.0002532021 2.42917 333.013 0.017454 825.027 291.072 0.00010006347 0.00021273826 0.0001037160 0.0000835010 228444.180 212831.647 224713.034 5.38303 8.75166 3.87051 0.0002535651 2.50400 334.005 0.017506 824.243 290.813 0.00009965849 0.00021349615 0.0001035428 0.0000840183 227683.550 212086.219 223890.295 5.44059 8.43975 3.86045 0.0002539091 2.57446 335.017 0.017559 823.457 290.557 0.00009924195 0.00021426574 0.0001033572 0.0000845423 226922.572 211344.663 223067.243 5.49964 8.12057 3.85038 0.0002542475 2.64326 336.009 0.017611 822.698 290.312 0.00009882967 0.00021501789 0.0001031660 0.0000850532 226189.945 210634.888 222274.946 5.55793 7.80621 3.84069 0.0002545672 2.70780 337.001 0.017663 821.952 290.073 0.00009841392 0.00021576703 0.0001029661 0.0000855607 225471.161 209942.661 221497.733 5.61656 7.49074 3.83118 0.0002548748 2.76943 338.012 0.017716 821.205 289.838 0.00009798671 0.00021652739 0.0001027532 0.0000860743 224752.778 209255.103 220721.099 5.67667 7.16812 3.82168 0.0002551755 2.82923 339.004 0.017768 820.485 289.613 0.00009756424 0.00021727018 0.0001025357 0.0000865745 224061.886 208598.086 219974.350 5.73597 6.85058 3.81255 0.0002554582 2.88497 340.016 0.017821 819.763 289.391 0.00009713037 0.00021802387 0.0001023050 0.0000870803 223371.891 207946.262 219228.765 5.79673 6.52597 3.80342 0.0002557334 2.93878 341.008 0.017873 819.069 289.180 0.00009670157 0.00021875993 0.0001020701 0.0000875726 222708.806 207324.155 218512.472 5.85665 6.20660 3.79466 0.0002559907 2.98865 342.000 0.017925 818.388 288.976 0.00009626978 0.00021949251 0.0001018267 0.0000880607 222059.459 206719.225 217811.254 5.91687 5.88640 3.78608 0.0002562354 3.03563 343.011 0.017978 817.706 288.775 0.00009582670 0.00022023552 0.0001015699 0.0000885538 221411.736 206120.261 217112.055 5.97852 5.55927 3.77753 0.0002564718 3.08055 344.003 0.018030 817.051 288.584 0.00009538914 0.00022096083 0.0001013096 0.0000890332 220790.054 205549.792 216441.251 6.03929 5.23760 3.76932 0.0002566908 3.12171 345.015 0.018083 816.397 288.396 0.00009494038 0.00022169623 0.0001010358 0.0000895170 220170.478 204985.799 215773.028 6.10149 4.90908 3.76115 0.0002569008 3.16070 346.007 0.018135 815.768 288.218 0.00009449742 0.00022241390 0.0001007588 0.0000899869 219576.360 204449.493 215132.592 6.16277 4.58617 3.75332 0.0002570938 3.19607 347.018 0.018188 815.141 288.044 0.00009404335 0.00022314135 0.0001004682 0.0000904609 218984.824 203920.170 214495.295 6.22546 4.25649 3.74552 0.0002572772 3.22918 348.010 0.018240 814.539 287.880 0.00009359537 0.00022385105 0.0001001750 0.0000909209 218418.164 203417.733 213885.172 6.28720 3.93255 3.73806 0.0002574439 3.25880 349.002 0.018292 813.951 287.722 0.00009314504 0.00022455667 0.0000998739 0.0000913757 217865.064 202931.962 213290.038 6.34914 3.60819 3.73078 0.0002575976 3.28558 350.014 0.018345 813.365 287.568 0.00009268372 0.00022527158 0.0000995590 0.0000918338 217315.251 202453.927 212698.866 6.41247 3.27721 3.72354 0.0002577408 3.30996 351.006 0.018397 812.803 287.423 0.00009222890 0.00022596872 0.0000992421 0.0000922778 216789.446 202001.597 212133.948 6.47480 2.95216 3.71663 0.0002578680 3.33104 352.017 0.018450 812.245 287.282 0.00009176319 0.00022667482 0.0000989114 0.0000927247 216267.400 201557.505 211573.538 6.53850 2.62059 3.70978 0.0002579841 3.34963 353.009 0.018502 811.710 287.151 0.00009130425 0.00022736316 0.0000985792 0.0000931573 215768.783 201138.339 211038.765 6.60115 2.29506 3.70324 0.0002580846 3.36505 354.001 0.018554 811.190 287.025 0.00009084339 0.00022804702 0.0000982396 0.0000935842 215283.591 200735.498 210518.892 6.66395 1.96939 3.69688 0.0002581718 3.37769 355.013 0.018607 810.673 286.904 0.00009037179 0.00022873935 0.0000978859 0.0000940131 214802.855 200341.641 210004.336 6.72808 1.63734 3.69058 0.0002582471 3.38770 356.005 0.018659 810.179 286.792 0.00008990732 0.00022941393 0.0000975316 0.0000944278 214344.691 199971.566 209514.495 6.79112 1.31152 3.68459 0.0002583075 3.39474 357.016 0.018712 809.691 286.684 0.00008943222 0.00023009664 0.0000971632 0.0000948442 213891.449 199610.975 209030.510 6.85548 0.97943 3.67867 0.0002583553 3.39908 358.008 0.018764 809.225 286.584 0.00008896450 0.00023076163 0.0000967946 0.0000952462 213460.209 199273.413 208570.624 6.91872 0.65367 3.67304 0.0002583888 3.40056 359.000 0.018816 808.773 286.490 0.00008849530 0.00023142176 0.0000964191 0.0000956419 213042.265 198951.861 208125.545 6.98202 0.32802 3.66760 0.0002584090 3.39931 360.012 0.018869 808.326 286.402 0.00008801563 0.00023208949 0.0000960294 0.0000960384 212629.942 198640.542 207687.125 7.04660 -0.00374 3.66223 0.0002584157 3.39524 Engine speed (Hz) = 53.0000000000 Output power (W) = 179.9423245914 Heat into heater (W) = 373.4700254870 Heat to regenerator (W) = -0.1979947404 Heat removal from cooler (W) = 194.0984247755 Approximate Pumping loss (W) = -99.2215306392 Thermal efficiency (%) = 48.1811958956 The average engine pressure (Pa) = 273453.2019531950 The exp space work per cycle (J) = 7.0473480879 The comp space work per cycle (J) = -3.6522098880 The net work per cycle (J) = 3.3951381998 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.4075726785 The expansion work for Vmin-to-Vmax (J) = 25.8027108783 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000000 808.971 286.468 0.00008811021 0.00023190037 0.0000960310 0.0000960367 213024.333 198528.143 207907.530 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.018 0.000052 808.539 286.386 0.00008762907 0.00023256359 0.0000956346 0.0000964261 212625.896 198235.156 207483.036 0.06436 -0.33169 -0.00519 0.0002584087 -0.00707 2.010 0.000103 808.129 286.312 0.00008715591 0.00023320898 0.0000952391 0.0000968012 212248.374 197963.804 207081.551 0.12751 -0.65676 -0.01010 0.0002583883 -0.01672 3.001 0.000154 807.733 286.244 0.00008668157 0.00023384924 0.0000948372 0.0000971694 211883.955 197708.246 206694.751 0.19068 -0.98154 -0.01484 0.0002583546 -0.02905 4.012 0.000206 807.344 286.181 0.00008619679 0.00023449671 0.0000944209 0.0000975376 211525.860 197463.882 206315.470 0.25509 -1.31234 -0.01948 0.0002583066 -0.04437 5.003 0.000257 806.976 286.126 0.00008572032 0.00023512640 0.0000940064 0.0000978916 211187.840 197240.058 205958.280 0.31824 -1.63637 -0.02385 0.0002582460 -0.06208 6.014 0.000309 806.615 286.076 0.00008523354 0.00023576294 0.0000935775 0.0000982450 210856.619 197027.946 205609.160 0.38261 -1.96630 -0.02812 0.0002581705 -0.08286 7.006 0.000360 806.275 286.033 0.00008475527 0.00023638176 0.0000931509 0.0000985843 210544.921 196835.654 205281.521 0.44570 -2.28939 -0.03212 0.0002580832 -0.10590 8.016 0.000412 805.942 285.995 0.00008426683 0.00023700704 0.0000927099 0.0000989225 210240.502 196655.593 204962.504 0.50996 -2.61825 -0.03603 0.0002579804 -0.13208 9.008 0.000463 805.630 285.964 0.00008378709 0.00023761466 0.0000922717 0.0000992466 209955.056 196494.642 204664.367 0.57291 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851.239 300.808 0.00010934746 0.00019133374 0.0001048732 0.0000688390 254728.298 239954.542 252968.773 3.97057 16.49158 4.23791 0.0002400603 -0.58271 307.004 0.015792 850.159 300.360 0.00010908378 0.00019211757 0.0001049537 0.0000693781 253597.261 238709.190 251756.183 4.01549 16.24090 4.22308 0.0002406798 -0.43317 308.015 0.015844 849.069 299.910 0.00010880815 0.00019291780 0.0001050262 0.0000699291 252457.647 237458.462 250533.206 4.06180 15.98200 4.20812 0.0002413033 -0.28359 309.006 0.015895 848.008 299.476 0.00010853130 0.00019370347 0.0001050878 0.0000704707 251353.362 236250.515 249347.046 4.10772 15.72491 4.19361 0.0002419065 -0.13973 310.017 0.015947 846.937 299.040 0.00010824247 0.00019450521 0.0001051409 0.0000710239 250241.173 235038.023 248151.344 4.15506 15.45965 4.17898 0.0002425128 0.00402 311.008 0.015998 845.896 298.620 0.00010795289 0.00019529199 0.0001051836 0.0000715673 249163.922 233867.655 246992.234 4.20198 15.19648 4.16480 0.0002430989 0.14213 312.019 0.016050 844.845 298.198 0.00010765133 0.00019609450 0.0001052174 0.0000721220 248079.425 232693.537 245824.402 4.25032 14.92519 4.15051 0.0002436874 0.28001 313.011 0.016101 843.824 297.792 0.00010734950 0.00019688171 0.0001052410 0.0000726666 247029.449 231560.846 244692.895 4.29824 14.65628 4.13667 0.0002442556 0.41233 314.002 0.016152 842.813 297.392 0.00010704176 0.00019766887 0.0001052552 0.0000732114 245993.054 230446.828 243575.238 4.34664 14.38463 4.12300 0.0002448147 0.54176 315.013 0.016204 841.793 296.992 0.00010672203 0.00019847127 0.0001052600 0.0000737672 244950.367 229330.191 242450.045 4.39649 14.10494 4.10924 0.0002453752 0.67075 316.004 0.016255 840.804 296.607 0.00010640271 0.00019925787 0.0001052552 0.0000743122 243941.532 228253.878 241360.697 4.44587 13.82802 4.09591 0.0002459154 0.79433 317.015 0.016307 839.805 296.221 0.00010607139 0.00020005937 0.0001052405 0.0000748678 242927.023 227175.668 240264.578 4.49671 13.54310 4.08250 0.0002464563 0.91734 318.007 0.016358 838.837 295.850 0.00010574094 0.00020084480 0.0001052166 0.0000754123 241945.892 226137.010 239203.938 4.54705 13.26121 4.06953 0.0002469770 1.03504 319.018 0.016410 837.861 295.479 0.00010539849 0.00020164480 0.0001051826 0.0000759670 240959.693 225097.147 238137.272 4.59887 12.97138 4.05648 0.0002474976 1.15203 320.009 0.016461 836.915 295.122 0.00010505734 0.00020242845 0.0001051397 0.0000765104 240006.379 224096.046 237105.684 4.65017 12.68483 4.04386 0.0002479981 1.26382 321.000 0.016512 835.979 294.772 0.00010471106 0.00020321102 0.0001050874 0.0000770530 239066.871 223113.490 236088.595 4.70192 12.39608 4.03142 0.0002484884 1.37268 322.011 0.016564 835.037 294.422 0.00010435282 0.00020400768 0.0001050244 0.0000776051 238123.174 222130.723 235066.558 4.75516 12.09947 4.01891 0.0002489776 1.48064 323.003 0.016615 834.125 294.086 0.00010399649 0.00020478765 0.0001049532 0.0000781455 237211.595 221185.499 234078.945 4.80784 11.80649 4.00683 0.0002494468 1.58356 324.014 0.016667 833.206 293.751 0.00010362823 0.00020558138 0.0001048710 0.0000786952 236296.399 220240.703 233087.084 4.86201 11.50572 3.99470 0.0002499142 1.68547 325.005 0.016718 832.317 293.430 0.00010326229 0.00020635822 0.0001047809 0.0000792327 235412.792 219332.620 232129.176 4.91558 11.20880 3.98298 0.0002503617 1.78244 326.016 0.016770 831.422 293.109 0.00010288444 0.00020714850 0.0001046796 0.0000797792 234526.128 218425.584 231167.703 4.97065 10.90415 3.97122 0.0002508067 1.87829 327.007 0.016821 830.556 292.802 0.00010250932 0.00020792170 0.0001045708 0.0000803133 233670.511 217554.423 230239.686 5.02509 10.60356 3.95987 0.0002512321 1.96931 328.018 0.016873 829.686 292.495 0.00010212231 0.00020870803 0.0001044504 0.0000808558 232812.385 216684.911 229308.771 5.08104 10.29532 3.94848 0.0002516542 2.05909 329.010 0.016924 828.844 292.202 0.00010173841 0.00020947713 0.0001043230 0.0000813858 231984.753 215850.428 228410.796 5.13632 9.99134 3.93749 0.0002520568 2.14417 330.001 0.016975 828.014 291.915 0.00010135032 0.00021024401 0.0001041865 0.0000819135 231170.971 215034.010 227527.740 5.19201 9.68579 3.92669 0.0002524480 2.22630 331.012 0.017027 827.180 291.630 0.00010095042 0.00021102354 0.0001040379 0.0000824490 230355.485 214220.117 226642.757 5.24920 9.37268 3.91586 0.0002528349 2.30701 332.004 0.017078 826.375 291.358 0.00010055417 0.00021178562 0.0001038830 0.0000829716 229569.648 213439.981 225789.905 5.30569 9.06412 3.90543 0.0002532026 2.38320 333.014 0.017130 825.566 291.087 0.00010014615 0.00021256004 0.0001037158 0.0000835016 228782.632 212662.938 224935.757 5.36367 8.74810 3.89498 0.0002535654 2.45786 334.006 0.017181 824.786 290.829 0.00009974215 0.00021331689 0.0001035428 0.0000840185 228024.693 211918.803 224113.181 5.42092 8.43681 3.88492 0.0002539093 2.52813 335.017 0.017233 824.002 290.572 0.00009932642 0.00021408575 0.0001033572 0.0000845423 227266.091 211178.317 223289.928 5.47966 8.11812 3.87485 0.0002542475 2.59675 336.008 0.017284 823.247 290.327 0.00009891506 0.00021483696 0.0001031662 0.0000850528 226535.988 210469.889 222497.672 5.53763 7.80434 3.86516 0.0002545670 2.66110 337.019 0.017336 822.490 290.085 0.00009849204 0.00021559986 0.0001029624 0.0000855699 225805.733 209765.661 221705.350 5.59710 7.48325 3.85546 0.0002548802 2.72370 338.010 0.017387 821.759 289.854 0.00009807371 0.00021634501 0.0001027536 0.0000860734 225103.392 209092.642 220943.437 5.65575 7.16724 3.84614 0.0002551750 2.78216 339.002 0.017438 821.042 289.629 0.00009765208 0.00021708703 0.0001025362 0.0000865732 224414.767 208437.043 220196.552 5.71473 6.85021 3.83701 0.0002554575 2.83770 340.013 0.017490 820.324 289.408 0.00009721887 0.00021784026 0.0001023057 0.0000870789 223726.739 207786.450 219450.491 5.77519 6.52598 3.82788 0.0002557326 2.89134 341.004 0.017541 819.632 289.197 0.00009679085 0.00021857565 0.0001020710 0.0000875708 223065.747 207165.807 218733.945 5.83480 6.20708 3.81911 0.0002559898 2.94103 342.015 0.017593 818.940 288.989 0.00009635132 0.00021932194 0.0001018229 0.0000880681 222405.846 206550.700 218018.810 5.89587 5.88105 3.81037 0.0002562391 2.98871 343.007 0.017644 818.274 288.792 0.00009591728 0.00022005034 0.0001015711 0.0000885516 221772.392 205964.710 217332.582 5.95605 5.56051 3.80197 0.0002564707 3.03256 344.017 0.017696 817.609 288.598 0.00009547182 0.00022078932 0.0001013058 0.0000890399 221140.517 205384.780 216648.342 6.01769 5.23293 3.79360 0.0002566938 3.07431 345.009 0.017747 816.970 288.414 0.00009503214 0.00022151037 0.0001010373 0.0000895143 220534.498 204833.139 215992.394 6.07841 4.91098 3.78558 0.0002568996 3.11237 346.000 0.017798 816.344 288.237 0.00009458981 0.00022222765 0.0001007607 0.0000899839 219942.024 204298.396 215351.423 6.13938 4.58841 3.77774 0.0002570926 3.14756 347.011 0.017850 815.718 288.063 0.00009413616 0.00022295503 0.0001004702 0.0000904577 219351.851 203770.490 214713.289 6.20178 4.25895 3.76993 0.0002572760 3.18050 348.003 0.017901 815.119 287.899 0.00009368874 0.00022366444 0.0001001773 0.0000909174 218786.651 203269.652 214102.523 6.26320 3.93531 3.76246 0.0002574427 3.20994 349.014 0.017953 814.521 287.739 0.00009323009 0.00022438363 0.0000998705 0.0000913808 218224.231 202776.167 213495.155 6.32605 3.60487 3.75503 0.0002575993 3.23703 350.005 0.018004 813.948 287.588 0.00009277794 0.00022508484 0.0000995617 0.0000918299 217686.195 202308.944 212914.531 6.38789 3.28038 3.74793 0.0002577396 3.26076 351.016 0.018056 813.377 287.441 0.00009231465 0.00022579550 0.0000992389 0.0000922823 217151.415 201849.587 212337.864 6.45113 2.94919 3.74087 0.0002578692 3.28205 352.007 0.018107 812.831 287.304 0.00009185812 0.00022648819 0.0000989146 0.0000927204 216640.431 201415.695 211787.314 6.51333 2.62407 3.73414 0.0002579830 3.30010 353.018 0.018159 812.288 287.170 0.00009139056 0.00022718998 0.0000985762 0.0000931612 216133.176 200990.182 211241.275 6.57691 2.29235 3.72746 0.0002580854 3.31562 354.010 0.018210 811.769 287.045 0.00009093001 0.00022787382 0.0000982367 0.0000935877 215649.133 200589.346 210720.728 6.63942 1.96682 3.72109 0.0002581725 3.32803 355.001 0.018261 811.264 286.927 0.00009046761 0.00022855315 0.0000978900 0.0000940083 215178.389 200204.780 210215.009 6.70206 1.64118 3.71490 0.0002582463 3.33767 356.012 0.018313 810.762 286.813 0.00008999432 0.00022924109 0.0000975290 0.0000944308 214712.081 199829.356 209714.622 6.76605 1.30907 3.70878 0.0002583079 3.34465 357.003 0.018364 810.284 286.707 0.00008952842 0.00022991110 0.0000971678 0.0000948390 214268.116 199477.453 209238.794 6.82891 0.98333 3.70296 0.0002583548 3.34872 358.014 0.018416 809.810 286.606 0.00008905173 0.00023058938 0.0000967923 0.0000952487 213829.057 199135.204 208768.845 6.89310 0.65123 3.69721 0.0002583890 3.35005 359.006 0.018467 809.359 286.514 0.00008858268 0.00023124975 0.0000964170 0.0000956440 213411.766 198815.713 208322.832 6.95613 0.32561 3.69175 0.0002584090 3.34860 360.017 0.018519 808.913 286.426 0.00008810296 0.00023191804 0.0000960274 0.0000960403 212999.854 198506.389 207883.245 7.02046 -0.00626 3.68638 0.0002584157 3.34432 Engine speed (Hz) = 54.0000000000 Output power (W) = 180.5871250542 Heat into heater (W) = 379.1047110563 Heat to regenerator (W) = -0.3379959665 Heat removal from cooler (W) = 199.0643752976 Approximate Pumping loss (W) = -104.4353454655 Thermal efficiency (%) = 47.6351571973 The average engine pressure (Pa) = 273519.9460454243 The exp space work per cycle (J) = 7.0200605621 The comp space work per cycle (J) = -3.6758545426 The net work per cycle (J) = 3.3442060195 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.4357574356 The expansion work for Vmin-to-Vmax (J) = 25.7799634551 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.005 0.000000 809.569 286.492 0.00008820186 0.00023172215 0.0000960317 0.0000960360 213402.170 198393.396 208109.349 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.015 0.000051 809.139 286.410 0.00008772101 0.00023238552 0.0000956357 0.0000964250 213004.317 198102.493 207683.856 0.06405 -0.33158 -0.00521 0.0002584087 -0.00725 2.005 0.000101 808.730 286.337 0.00008724827 0.00023303085 0.0000952408 0.0000967996 212627.396 197833.283 207281.479 0.12689 -0.65645 -0.01013 0.0002583885 -0.01708 3.015 0.000152 808.328 286.269 0.00008676484 0.00023368389 0.0000948315 0.0000971746 212256.308 197574.943 206886.107 0.19100 -0.98753 -0.01496 0.0002583541 -0.02986 4.005 0.000202 807.946 286.208 0.00008628974 0.00023431893 0.0000944238 0.0000975352 211905.583 197337.548 206513.229 0.25387 -1.31181 -0.01953 0.0002583070 -0.04507 5.015 0.000253 807.572 286.152 0.00008580406 0.00023496131 0.0000940015 0.0000978957 211561.169 197111.550 206147.914 0.31798 -1.64219 -0.02399 0.0002582452 -0.06332 6.005 0.000303 807.218 286.104 0.00008532694 0.00023558576 0.0000935815 0.0000982418 211236.554 196905.761 205804.472 0.38081 -1.96566 -0.02820 0.0002581713 -0.08387 7.015 0.000354 806.872 286.061 0.00008483936 0.00023621717 0.0000931470 0.0000985873 210918.732 196711.898 205469.153 0.44485 -2.29512 -0.03230 0.0002580823 -0.10754 8.005 0.000404 806.546 286.025 0.00008436054 0.00023683071 0.0000927151 0.0000989186 210620.152 196537.515 205155.094 0.50758 -2.61760 -0.03614 0.0002579817 -0.13337 9.014 0.000455 806.228 285.994 0.00008387141 0.00023745083 0.0000922688 0.0000992487 210328.851 196375.591 204849.721 0.57150 -2.94593 -0.03988 0.0002578655 -0.16240 10.004 0.000505 805.930 285.970 0.00008339124 0.00023805315 0.0000918256 0.0000995647 210056.239 196232.431 204564.998 0.63408 -3.26719 -0.04336 0.0002577384 -0.19347 11.014 0.000556 805.640 285.952 0.00008290089 0.00023866166 0.0000913681 0.0000998791 209791.397 196102.264 204289.528 0.69780 -3.59418 -0.04673 0.0002575952 -0.22780 12.004 0.000606 805.370 285.940 0.00008241969 0.00023925242 0.0000909142 0.0001001794 209544.699 195990.153 204034.105 0.76015 -3.91403 -0.04985 0.0002574416 -0.26405 13.014 0.000657 805.108 285.934 0.00008192847 0.00023984900 0.0000904459 0.0001004776 209306.267 195891.573 203788.506 0.82361 -4.23947 -0.05286 0.0002572715 -0.30363 14.004 0.000707 804.866 285.934 0.00008144658 0.00024042790 0.0000899818 0.0001007619 209085.442 195810.351 203562.357 0.88568 -4.55769 -0.05562 0.0002570917 -0.34499 15.014 0.000758 804.633 285.940 0.00008095482 0.00024101220 0.0000895034 0.0001010436 208873.385 195743.201 203346.609 0.94881 -4.88137 -0.05826 0.0002568950 -0.38976 16.004 0.000808 804.419 285.952 0.00008047257 0.00024157890 0.0000890296 0.0001013116 208678.405 195692.720 203149.721 1.01052 -5.19775 -0.06067 0.0002566892 -0.43618 17.014 0.000859 804.215 285.970 0.00007998063 0.00024215059 0.0000885417 0.0001015764 208492.700 195656.853 202963.817 1.07326 -5.51945 -0.06295 0.0002564661 -0.48608 18.004 0.000909 804.029 285.994 0.00007949836 0.00024270477 0.0000880589 0.0001018276 208323.551 195636.976 202796.189 1.13455 -5.83379 -0.06500 0.0002562345 -0.53750 19.013 0.000960 803.853 286.024 0.00007900656 0.00024326350 0.0000875620 0.0001020753 208164.194 195632.261 202640.136 1.19682 -6.15330 -0.06691 0.0002559853 -0.59248 20.003 0.001010 803.695 286.059 0.00007852461 0.00024380481 0.0000870707 0.0001023095 208020.881 195642.862 202501.783 1.25762 -6.46538 -0.06860 0.0002557283 -0.64884 21.013 0.001061 803.549 286.101 0.00007803331 0.00024435023 0.0000865655 0.0001025396 207887.884 195669.175 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839.326 295.867 0.00010580828 0.00020068304 0.0001052164 0.0000754159 242241.511 225957.194 239424.039 4.53172 13.24725 4.09413 0.0002469803 0.99077 319.003 0.016111 838.374 295.503 0.00010547404 0.00020146529 0.0001051831 0.0000759591 241278.666 224938.521 238379.629 4.58220 12.96413 4.08136 0.0002474903 1.10526 320.013 0.016162 837.413 295.139 0.00010512771 0.00020226225 0.0001051395 0.0000765126 240310.676 223918.633 237329.095 4.63417 12.67300 4.06850 0.0002480001 1.21903 321.003 0.016212 836.483 294.789 0.00010478298 0.00020304254 0.0001050873 0.0000770543 239375.521 222937.490 236313.708 4.68558 12.38534 4.05608 0.0002484896 1.32760 322.013 0.016263 835.546 294.439 0.00010442616 0.00020383723 0.0001050243 0.0000776059 238435.810 221955.803 235292.924 4.73849 12.08972 4.04360 0.0002489783 1.43533 323.003 0.016313 834.638 294.104 0.00010407137 0.00020461502 0.0001049532 0.0000781455 237528.408 221012.025 234306.834 4.79081 11.79780 4.03153 0.0002494468 1.53799 324.013 0.016364 833.724 293.769 0.00010370451 0.00020540688 0.0001048711 0.0000786946 236617.026 220068.355 233316.055 4.84464 11.49799 4.01941 0.0002499137 1.63967 325.003 0.016414 832.839 293.447 0.00010334008 0.00020618164 0.0001047812 0.0000792314 235737.412 219161.746 232359.493 4.89786 11.20210 4.00771 0.0002503606 1.73639 326.012 0.016465 831.949 293.127 0.00010296360 0.00020697015 0.0001046799 0.0000797772 234854.385 218255.877 231398.933 4.95258 10.89838 3.99596 0.0002508052 1.83201 327.002 0.016515 831.087 292.819 0.00010258995 0.00020774138 0.0001045714 0.0000803105 234002.574 217386.213 230472.086 5.00667 10.59880 3.98462 0.0002512299 1.92279 328.012 0.016566 830.221 292.513 0.00010220429 0.00020852605 0.0001044511 0.0000808525 233147.904 216517.904 229541.919 5.06226 10.29145 3.97324 0.0002516517 2.01236 329.002 0.016616 829.383 292.220 0.00010182183 0.00020929327 0.0001043240 0.0000813818 232323.887 215684.937 228644.941 5.11718 9.98845 3.96227 0.0002520538 2.09720 330.012 0.016667 828.541 291.928 0.00010142739 0.00021007362 0.0001041849 0.0000819192 231497.556 214853.927 227745.303 5.17362 9.67774 3.95126 0.0002524522 2.18071 331.002 0.016717 827.728 291.649 0.00010103654 0.00021083637 0.0001040394 0.0000824437 230701.307 214057.392 226878.311 5.22934 9.37158 3.94066 0.0002528311 2.25961 332.012 0.016768 826.911 291.371 0.00010063374 0.00021161194 0.0001038817 0.0000829760 229903.279 213263.401 226009.309 5.28659 9.05779 3.93003 0.0002532057 2.33708 333.002 0.016818 826.122 291.106 0.00010023489 0.00021236979 0.0001037180 0.0000834950 229134.755 212503.019 225172.392 5.34309 8.74872 3.91979 0.0002535610 2.41006 334.012 0.016869 825.330 290.842 0.00009982414 0.00021314013 0.0001035417 0.0000840215 228364.978 211745.757 224334.099 5.40111 8.43209 3.90953 0.0002539112 2.48148 335.002 0.016919 824.566 290.591 0.00009941770 0.00021389265 0.0001033600 0.0000845345 227624.119 211021.236 223527.318 5.45835 8.12038 3.89967 0.0002542425 2.54856 336.011 0.016970 823.799 290.342 0.00009899939 0.00021465735 0.0001031655 0.0000850545 226882.527 210300.400 222719.784 5.51711 7.80118 3.88979 0.0002545680 2.61396 337.001 0.017020 823.060 290.104 0.00009858574 0.00021540413 0.0001029660 0.0000855609 226169.263 209611.441 221943.174 5.57506 7.48707 3.88029 0.0002548749 2.67514 338.011 0.017071 822.319 289.869 0.00009816029 0.00021616278 0.0001027535 0.0000860737 225455.777 208926.724 221166.425 5.63451 7.16555 3.87078 0.0002551752 2.73454 339.001 0.017121 821.605 289.645 0.00009773981 0.00021690344 0.0001025364 0.0000865728 224770.026 208273.024 220420.001 5.69312 6.84928 3.86165 0.0002554573 2.78985 340.011 0.017172 820.890 289.424 0.00009730760 0.00021765564 0.0001023061 0.0000870780 224084.556 207624.114 219674.041 5.75323 6.52567 3.85253 0.0002557321 2.84327 341.001 0.017222 820.202 289.214 0.00009688068 0.00021838980 0.0001020718 0.0000875692 223426.227 207005.366 218957.798 5.81247 6.20749 3.84377 0.0002559890 2.89273 342.011 0.017273 819.513 289.006 0.00009644209 0.00021913517 0.0001018240 0.0000880660 222768.677 206391.951 218242.615 5.87320 5.88205 3.83502 0.0002562380 2.94021 343.001 0.017323 818.850 288.810 0.00009600911 0.00021986245 0.0001015726 0.0000885488 222137.670 205807.848 217556.531 5.93302 5.56217 3.82662 0.0002564694 2.98384 344.011 0.017374 818.188 288.616 0.00009556452 0.00022060064 0.0001013077 0.0000890366 221507.936 205229.615 216872.095 5.99431 5.23513 3.81825 0.0002566923 3.02539 345.001 0.017424 817.552 288.433 0.00009512584 0.00022132069 0.0001010396 0.0000895103 220904.146 204679.854 216216.137 6.05467 4.91381 3.81023 0.0002568980 3.06324 346.010 0.017475 816.916 288.252 0.00009467563 0.00022205133 0.0001007578 0.0000899886 220302.118 204136.495 215562.407 6.11648 4.58540 3.80223 0.0002570945 3.09890 347.000 0.017525 816.306 288.083 0.00009423162 0.00022276381 0.0001004734 0.0000904527 219725.435 203620.773 214936.527 6.17733 4.26284 3.79457 0.0002572741 3.13099 348.010 0.017576 815.697 287.916 0.00009377616 0.00022348655 0.0001001750 0.0000909209 219151.000 203111.984 214313.449 6.23962 3.93330 3.78695 0.0002574439 3.16080 349.000 0.017626 815.113 287.759 0.00009332719 0.00022419111 0.0000998746 0.0000913747 218601.313 202630.007 213717.592 6.30090 3.60974 3.77966 0.0002575973 3.18717 350.010 0.017677 814.531 287.606 0.00009286684 0.00022490561 0.0000995601 0.0000918322 218054.355 202155.490 213125.106 6.36362 3.27928 3.77241 0.0002577403 3.21116 351.000 0.017727 813.974 287.463 0.00009241326 0.00022560194 0.0000992440 0.0000922753 217531.549 201706.969 212559.208 6.42529 2.95493 3.76549 0.0002578673 3.23184 352.010 0.017778 813.419 287.323 0.00009194840 0.00022630787 0.0000989137 0.0000927215 217011.952 201266.432 211997.245 6.48838 2.62378 3.75862 0.0002579833 3.25005 353.020 0.017829 812.878 287.190 0.00009148138 0.00022700934 0.0000985757 0.0000931619 216506.126 200842.947 211450.668 6.55164 2.29237 3.75193 0.0002580856 3.26536 354.010 0.017879 812.361 287.066 0.00009102153 0.00022769265 0.0000982367 0.0000935877 216023.560 200444.249 210929.726 6.61380 1.96725 3.74556 0.0002581725 3.27757 355.019 0.017930 811.847 286.946 0.00009055053 0.00022838506 0.0000978835 0.0000940160 215544.921 200054.324 210413.562 6.67734 1.63547 3.73924 0.0002582475 3.28716 356.009 0.017980 811.357 286.835 0.00009008695 0.00022905933 0.0000975299 0.0000944298 215088.952 199688.396 209922.401 6.73977 1.31010 3.73324 0.0002583077 3.29379 357.019 0.018031 810.872 286.728 0.00008961232 0.00022974236 0.0000971620 0.0000948455 214637.387 199331.764 209436.576 6.80355 0.97819 3.72729 0.0002583555 3.29772 358.009 0.018081 810.409 286.630 0.00008914535 0.00023040727 0.0000967942 0.0000952467 214207.907 198998.350 208975.121 6.86617 0.65278 3.72165 0.0002583889 3.29881 359.019 0.018132 809.950 286.536 0.00008866745 0.00023108059 0.0000964119 0.0000956493 213783.307 198674.755 208519.559 6.93013 0.32094 3.71607 0.0002584092 3.29712 360.009 0.018182 809.515 286.450 0.00008819744 0.00023173584 0.0000960303 0.0000960374 213380.211 198373.609 208087.737 6.99290 -0.00429 3.71079 0.0002584157 3.29273 Engine speed (Hz) = 55.0000000000 Output power (W) = 181.0935270912 Heat into heater (W) = 384.6094260182 Heat to regenerator (W) = -0.2360828279 Heat removal from cooler (W) = 204.0935487358 Approximate Pumping loss (W) = -109.8091363892 Thermal efficiency (%) = 47.0850465019 The average engine pressure (Pa) = 273579.6393664753 The exp space work per cycle (J) = 6.9933649792 The comp space work per cycle (J) = -3.7007553958 The net work per cycle (J) = 3.2926095835 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.4644816253 The expansion work for Vmin-to-Vmax (J) = 25.7570912088 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 810.178 286.515 0.00008829635 0.00023153916 0.0000960338 0.0000960339 213786.734 198257.367 208315.654 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000050 809.749 286.435 0.00008781615 0.00023220219 0.0000956385 0.0000964223 213389.781 197968.663 207889.426 0.06370 -0.33122 -0.00521 0.0002584088 -0.00743 2.016 0.000100 809.334 286.361 0.00008733458 0.00023286011 0.0000952365 0.0000968037 213006.218 197696.404 207478.328 0.12744 -0.66225 -0.01024 0.0002583882 -0.01764 3.004 0.000149 808.940 286.295 0.00008686138 0.00023349984 0.0000948360 0.0000971705 212643.293 197445.490 207090.117 0.18993 -0.98641 -0.01499 0.0002583545 -0.03034 4.012 0.000199 808.553 286.233 0.00008637732 0.00023414740 0.0000944209 0.0000975376 212286.170 197205.624 206708.929 0.25371 -1.31688 -0.01966 0.0002583066 -0.04603 5.020 0.000249 808.179 286.179 0.00008589215 0.00023478962 0.0000939994 0.0000978974 211942.366 196982.035 206342.823 0.31748 -1.64700 -0.02413 0.0002582449 -0.06447 6.008 0.000298 807.827 286.131 0.00008541568 0.00023541372 0.0000935803 0.0000982428 211618.340 196778.660 205998.658 0.37996 -1.97012 -0.02834 0.0002581711 -0.08519 7.016 0.000348 807.481 286.089 0.00008492855 0.00023604511 0.0000931465 0.0000985877 211300.845 196587.146 205662.372 0.44368 -2.29937 -0.03246 0.0002580822 -0.10903 8.004 0.000397 807.156 286.053 0.00008445032 0.00023665844 0.0000927156 0.0000989182 211002.563 196415.106 205347.403 0.50607 -2.62154 -0.03631 0.0002579818 -0.13501 9.012 0.000447 806.838 286.024 0.00008396157 0.00023727868 0.0000922701 0.0000992478 210711.302 196255.470 205040.885 0.56966 -2.94971 -0.04006 0.0002578659 -0.16420 10.020 0.000497 806.534 286.000 0.00008347213 0.00023789316 0.0000918188 0.0000995695 210433.264 196111.866 204749.385 0.63317 -3.27726 -0.04363 0.0002577363 -0.19605 11.007 0.000546 806.250 285.983 0.00008299189 0.00023848969 0.0000913712 0.0000998770 210173.603 195986.642 204478.276 0.69531 -3.59761 -0.04694 0.0002575962 -0.22986 12.015 0.000596 805.975 285.972 0.00008250134 0.00023909254 0.0000909090 0.0001001827 209921.707 195874.647 204216.485 0.75861 -3.92376 -0.05015 0.0002574398 -0.26697 13.003 0.000645 805.718 285.967 0.00008202018 0.00023967751 0.0000904509 0.0001004745 209687.640 195780.318 203974.478 0.82051 -4.24264 -0.05311 0.0002572734 -0.30590 14.011 0.000695 805.471 285.968 0.00008152887 0.00024026839 0.0000899784 0.0001007640 209461.839 195699.768 203742.370 0.88352 -4.56719 -0.05595 0.0002570904 -0.34822 15.019 0.000745 805.238 285.975 0.00008103729 0.00024085310 0.0000895008 0.0001010451 209249.205 195635.041 203525.248 0.94636 -4.89085 -0.05860 0.0002568939 -0.39314 16.007 0.000794 805.023 285.988 0.00008055538 0.00024142005 0.0000890281 0.0001013124 209053.591 195586.924 203327.006 1.00776 -5.20712 -0.06103 0.0002566885 -0.43967 17.015 0.000844 804.818 286.007 0.00008006355 0.00024199229 0.0000885410 0.0001015767 208867.010 195553.419 203139.552 1.07022 -5.52886 -0.06332 0.0002564658 -0.48970 18.003 0.000893 804.631 286.031 0.00007958155 0.00024254685 0.0000880593 0.0001018274 208696.922 195535.833 202970.386 1.13122 -5.84314 -0.06539 0.0002562347 -0.54121 19.011 0.000943 804.454 286.062 0.00007908981 0.00024310628 0.0000875633 0.0001020746 208536.386 195533.417 202812.607 1.19322 -6.16273 -0.06732 0.0002559859 -0.59630 20.019 0.000993 804.292 286.099 0.00007859824 0.00024365910 0.0000870630 0.0001023131 208389.006 195546.654 202669.824 1.25497 -6.48116 -0.06907 0.0002557241 -0.65390 21.007 0.001042 804.147 286.142 0.00007811675 0.00024419436 0.0000865688 0.0001025382 208257.343 195574.786 202544.453 1.31522 -6.79204 -0.07060 0.0002554550 -0.71279 22.015 0.001092 804.014 286.190 0.00007762579 0.00024473383 0.0000860605 0.0001027591 208136.028 195618.931 202431.386 1.37642 -7.10800 -0.07198 0.0002551676 -0.77536 23.003 0.001141 803.897 286.244 0.00007714506 0.00024525583 0.0000855588 0.0001029668 208029.925 195677.300 202335.159 1.43609 -7.41635 -0.07316 0.0002548736 -0.83907 24.011 0.001191 803.792 286.305 0.00007665505 0.00024578157 0.0000850431 0.0001031699 207934.714 195752.247 202251.857 1.49665 -7.72963 -0.07418 0.0002545610 -0.90653 25.019 0.001241 803.701 286.371 0.00007616565 0.00024630024 0.0000845240 0.0001033638 207852.707 195842.713 202183.613 1.55687 -8.04145 -0.07501 0.0002542358 -0.97643 26.006 0.001290 803.627 286.442 0.00007568672 0.00024680159 0.0000840120 0.0001035450 207785.169 195946.403 202131.361 1.61553 -8.34559 -0.07565 0.0002539050 -1.04729 27.014 0.001340 803.565 286.520 0.00007519880 0.00024730597 0.0000834865 0.0001037207 207729.362 196067.528 202092.992 1.67501 -8.65439 -0.07612 0.0002535552 -1.12199 28.002 0.001389 803.519 286.602 0.00007472150 0.00024779311 0.0000829685 0.0001038840 207687.542 196201.221 202070.062 1.73292 -8.95544 -0.07640 0.0002532005 -1.19751 29.010 0.001439 803.486 286.691 0.00007423541 0.00024828279 0.0000824371 0.0001040413 207658.029 196352.918 202061.665 1.79159 -9.26099 -0.07651 0.0002528264 -1.27693 30.018 0.001489 803.469 286.787 0.00007375039 0.00024876491 0.0000819031 0.0001041893 207641.838 196520.027 202068.450 1.84982 -9.56479 -0.07642 0.0002524404 -1.35872 31.006 0.001538 803.465 286.885 0.00007327618 0.00024922993 0.0000813773 0.0001043251 207638.929 196698.728 202089.862 1.90645 -9.86079 -0.07616 0.0002520504 -1.44114 32.014 0.001588 803.477 286.992 0.00007279353 0.00024969673 0.0000808384 0.0001044544 207649.219 196896.295 202126.810 1.96376 -10.16098 -0.07571 0.0002516408 -1.52755 33.002 0.001637 803.502 287.102 0.00007232183 0.00025014653 0.0000803081 0.0001045719 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0.016370 829.078 291.942 0.00010150630 0.00020989903 0.0001041839 0.0000819230 231829.892 214675.369 227968.352 5.15487 9.66915 3.97604 0.0002524550 2.13413 331.007 0.016419 828.269 291.663 0.00010111709 0.00021065941 0.0001040387 0.0000824463 231037.922 213881.189 227103.075 5.21019 9.36414 3.96546 0.0002528330 2.21270 332.015 0.016469 827.457 291.386 0.00010071580 0.00021143291 0.0001038812 0.0000829777 230243.821 213089.260 226235.366 5.26704 9.05137 3.95484 0.0002532068 2.28987 333.003 0.016518 826.673 291.121 0.00010031857 0.00021218850 0.0001037178 0.0000834956 229479.340 212331.188 225399.952 5.32314 8.74343 3.94462 0.0002535614 2.36255 334.011 0.016568 825.885 290.858 0.00009990929 0.00021295689 0.0001035419 0.0000840211 228713.258 211575.957 224562.752 5.38076 8.42781 3.93438 0.0002539110 2.43369 335.019 0.016618 825.110 290.602 0.00009949614 0.00021372256 0.0001033567 0.0000845434 227961.302 210839.144 223740.980 5.43875 8.11083 3.92433 0.0002542482 2.50181 336.007 0.016667 824.363 290.358 0.00009908758 0.00021447015 0.0001031664 0.0000850521 227238.071 210134.862 222950.623 5.49595 7.79895 3.91466 0.0002545665 2.56562 337.015 0.016717 823.613 290.117 0.00009866703 0.00021523008 0.0001029632 0.0000855676 226514.025 209434.287 222159.427 5.55466 7.47949 3.90498 0.0002548789 2.62774 338.003 0.016766 822.891 289.886 0.00009825142 0.00021597186 0.0001027553 0.0000860694 225818.103 208765.365 221399.045 5.61254 7.16529 3.89568 0.0002551727 2.68569 339.011 0.016816 822.167 289.659 0.00009782388 0.00021672567 0.0001025343 0.0000865775 225121.879 208100.714 220638.442 5.67193 6.84359 3.88637 0.0002554599 2.74184 340.019 0.016866 821.456 289.438 0.00009739296 0.00021747624 0.0001023044 0.0000870818 224439.671 207454.087 219893.290 5.73164 6.52086 3.87726 0.0002557341 2.79498 341.006 0.016915 820.772 289.228 0.00009696745 0.00021820855 0.0001020704 0.0000875719 223784.680 206837.803 219178.029 5.79047 6.20362 3.86851 0.0002559904 2.84414 342.014 0.016965 820.087 289.022 0.00009653010 0.00021895242 0.0001018231 0.0000880678 223130.146 206226.627 218463.460 5.85080 5.87901 3.85977 0.0002562389 2.89135 343.002 0.017014 819.428 288.826 0.00009609849 0.00021967800 0.0001015722 0.0000885495 222502.225 205644.931 217778.158 5.91021 5.56005 3.85138 0.0002564697 2.93472 344.010 0.017064 818.769 288.632 0.00009565510 0.00022041480 0.0001013078 0.0000890365 221875.258 205068.892 217094.144 5.97111 5.23379 3.84302 0.0002566922 2.97602 345.018 0.017114 818.124 288.446 0.00009520880 0.00022114791 0.0001010348 0.0000895187 221262.172 204510.482 216425.548 6.03228 4.90679 3.83484 0.0002569015 3.01435 346.006 0.017163 817.504 288.270 0.00009476869 0.00022186267 0.0001007590 0.0000899866 220674.786 203980.266 215785.271 6.09248 4.58567 3.82700 0.0002570936 3.04904 347.014 0.017213 816.885 288.098 0.00009431690 0.00022258818 0.0001004694 0.0000904591 220089.097 203456.528 215147.166 6.15415 4.25737 3.81920 0.0002572765 3.08152 348.002 0.017262 816.291 287.935 0.00009387160 0.00022329533 0.0001001775 0.0000909170 219528.503 202960.141 214536.744 6.21482 3.93509 3.81173 0.0002574426 3.11049 349.010 0.017312 815.699 287.776 0.00009341469 0.00022401290 0.0000998716 0.0000913791 218970.093 202470.772 213929.075 6.27694 3.60572 3.80430 0.0002575988 3.13715 350.018 0.017362 815.120 287.624 0.00009295533 0.00022472633 0.0000995576 0.0000918358 218425.415 201998.647 213336.754 6.33927 3.27589 3.79705 0.0002577414 3.16088 351.006 0.017411 814.566 287.481 0.00009250288 0.00022542141 0.0000992421 0.0000922778 217904.924 201552.625 212771.153 6.40055 2.95227 3.79013 0.0002578680 3.18132 352.014 0.017461 814.013 287.342 0.00009203895 0.00022612640 0.0000989124 0.0000927232 217387.346 201114.428 212209.171 6.46325 2.62171 3.78326 0.0002579837 3.19929 353.002 0.017510 813.486 287.212 0.00009158219 0.00022681305 0.0000985818 0.0000931541 216893.355 200701.515 211673.268 6.52487 2.29748 3.77670 0.0002580838 3.21410 354.010 0.017560 812.961 287.086 0.00009111404 0.00022750928 0.0000982367 0.0000935877 216402.759 200296.963 211141.554 6.58790 1.96639 3.77020 0.0002581725 3.22636 355.018 0.017610 812.449 286.967 0.00009064389 0.00022820096 0.0000978841 0.0000940153 215925.744 199909.298 210625.098 6.65108 1.63513 3.76388 0.0002582474 3.23575 356.005 0.017659 811.962 286.857 0.00009018130 0.00022887432 0.0000975314 0.0000944281 215471.419 199545.706 210133.758 6.71311 1.31037 3.75787 0.0002583075 3.24218 357.013 0.017709 811.478 286.751 0.00008970746 0.00022955676 0.0000971641 0.0000948431 215021.211 199191.279 209647.459 6.77652 0.97892 3.75192 0.0002583552 3.24591 358.001 0.017758 811.017 286.653 0.00008924143 0.00023022090 0.0000967971 0.0000952435 214593.100 198860.133 209185.636 6.83876 0.65407 3.74627 0.0002583886 3.24683 359.009 0.017808 810.560 286.560 0.00008876425 0.00023089377 0.0000964156 0.0000956454 214169.586 198538.687 208729.420 6.90236 0.32264 3.74069 0.0002584091 3.24496 360.017 0.017858 810.117 286.473 0.00008828552 0.00023156169 0.0000960271 0.0000960406 213759.513 198233.805 208288.370 6.96603 -0.00871 3.73529 0.0002584157 3.24029 Engine speed (Hz) = 56.0000000000 Output power (W) = 181.4492173328 Heat into heater (W) = 390.0975030899 Heat to regenerator (W) = -0.4877651759 Heat removal from cooler (W) = 209.1764676766 Approximate Pumping loss (W) = -115.3548064034 Thermal efficiency (%) = 46.5138115204 The average engine pressure (Pa) = 273651.4107790574 The exp space work per cycle (J) = 6.9645132614 The comp space work per cycle (J) = -3.7243486662 The net work per cycle (J) = 3.2401645952 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.4935596139 The expansion work for Vmin-to-Vmax (J) = 25.7337242091 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.020 0.000001 810.784 286.536 0.00008837977 0.00023137074 0.0000960260 0.0000960417 214166.244 198111.543 208513.822 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000049 810.365 286.458 0.00008791035 0.00023201933 0.0000956397 0.0000964212 213778.830 197831.296 208096.112 0.06200 -0.32386 -0.00511 0.0002584089 -0.00748 2.011 0.000098 809.952 286.385 0.00008742976 0.00023267645 0.0000952387 0.0000968016 213396.444 197561.440 207684.569 0.12534 -0.65430 -0.01014 0.0002583883 -0.01787 3.016 0.000147 809.552 286.319 0.00008694785 0.00023332847 0.0000948310 0.0000971750 213027.267 197307.922 207288.031 0.18871 -0.98451 -0.01500 0.0002583540 -0.03101 4.001 0.000195 809.174 286.259 0.00008647457 0.00023396214 0.0000944254 0.0000975338 212678.408 197075.365 206914.119 0.25080 -1.30772 -0.01957 0.0002583072 -0.04655 5.007 0.000244 808.802 286.205 0.00008599029 0.00023460379 0.0000940050 0.0000978927 212335.309 196854.026 206547.238 0.31418 -1.63733 -0.02406 0.0002582458 -0.06512 6.012 0.000293 808.443 286.158 0.00008550495 0.00023524010 0.0000935784 0.0000982443 212005.347 196648.863 206195.316 0.37755 -1.96656 -0.02836 0.0002581707 -0.08641 7.017 0.000342 808.098 286.116 0.00008501863 0.00023587097 0.0000931457 0.0000985883 211688.504 196459.824 205858.339 0.44088 -2.29535 -0.03248 0.0002580820 -0.11041 8.002 0.000390 807.774 286.082 0.00008454136 0.00023648362 0.0000927161 0.0000989178 211390.825 196290.230 205542.718 0.50288 -2.61696 -0.03635 0.0002579819 -0.13652 9.008 0.000439 807.457 286.053 0.00008405336 0.00023710350 0.0000922717 0.0000992466 211099.890 196132.966 205235.289 0.56610 -2.94473 -0.04011 0.0002578663 -0.16584 10.013 0.000488 807.154 286.030 0.00008356463 0.00023771770 0.0000918216 0.0000995675 210822.017 195991.683 204942.770 0.62925 -3.27190 -0.04368 0.0002577371 -0.19781 11.019 0.000537 806.865 286.014 0.00008307527 0.00023832615 0.0000913659 0.0000998805 210557.190 195866.336 204665.152 0.69229 -3.59843 -0.04708 0.0002575945 -0.23244 12.004 0.000585 806.595 286.004 0.00008259536 0.00023891652 0.0000909143 0.0001001793 210310.402 195758.957 204407.640 0.75394 -3.91761 -0.05023 0.0002574416 -0.26892 13.009 0.000634 806.333 285.999 0.00008210500 0.00023951332 0.0000904481 0.0001004762 210071.360 195665.031 204159.497 0.81675 -4.24269 -0.05327 0.0002572723 -0.30875 14.015 0.000683 806.086 286.001 0.00008161426 0.00024010412 0.0000899767 0.0001007650 209845.326 195586.917 203926.235 0.87942 -4.56696 -0.05612 0.0002570897 -0.35118 15.020 0.000732 805.853 286.009 0.00008112323 0.00024068883 0.0000895003 0.0001010454 209632.291 195524.577 203707.852 0.94192 -4.89037 -0.05879 0.0002568937 -0.39621 16.005 0.000780 805.638 286.023 0.00008064202 0.00024125562 0.0000890289 0.0001013119 209436.202 195478.767 203508.349 1.00297 -5.20628 -0.06123 0.0002566889 -0.44282 17.011 0.000829 805.432 286.043 0.00008015067 0.00024182801 0.0000885431 0.0001015756 209248.882 195447.544 203319.414 1.06510 -5.52782 -0.06354 0.0002564668 -0.49293 18.016 0.000878 805.241 286.069 0.00007965929 0.00024239406 0.0000880527 0.0001018308 209074.547 195431.988 203145.358 1.12701 -5.84833 -0.06567 0.0002562315 -0.54558 19.001 0.000926 805.067 286.100 0.00007917799 0.00024294231 0.0000875681 0.0001020723 208916.358 195431.910 202989.283 1.18744 -6.16126 -0.06758 0.0002559884 -0.59962 20.007 0.000975 804.903 286.138 0.00007868680 0.00024349552 0.0000870691 0.0001023103 208767.726 195447.276 202844.692 1.24888 -6.47957 -0.06935 0.0002557274 -0.65727 21.012 0.001024 804.754 286.182 0.00007819584 0.00024404211 0.0000865661 0.0001025394 208632.082 195478.216 202714.996 1.31005 -6.79670 -0.07094 0.0002554535 -0.71741 22.018 0.001073 804.619 286.232 0.00007770520 0.00024458199 0.0000860591 0.0001027597 208509.434 195524.703 202600.207 1.37094 -7.11258 -0.07234 0.0002551668 -0.78004 23.003 0.001121 804.501 286.286 0.00007722497 0.00024510426 0.0000855588 0.0001029668 208401.896 195585.288 202502.225 1.43030 -7.42075 -0.07354 0.0002548736 -0.84378 24.008 0.001170 804.394 286.348 0.00007673522 0.00024563057 0.0000850444 0.0001031694 208305.001 195662.471 202416.981 1.49058 -7.73399 -0.07458 0.0002545618 -0.91127 25.014 0.001219 804.302 286.415 0.00007624605 0.00024614990 0.0000845266 0.0001033629 208221.134 195755.123 202346.688 1.55051 -8.04582 -0.07544 0.0002542375 -0.98119 26.019 0.001268 804.224 286.488 0.00007575755 0.00024666213 0.0000840055 0.0001035472 208150.313 195863.219 202291.364 1.61010 -8.35618 -0.07612 0.0002539007 -1.05353 27.004 0.001316 804.161 286.566 0.00007527976 0.00024715693 0.0000834919 0.0001037190 208093.605 195984.063 202251.705 1.66810 -8.65871 -0.07661 0.0002535589 -1.12673 28.009 0.001365 804.112 286.650 0.00007479285 0.00024765483 0.0000829647 0.0001038851 208048.671 196122.669 202226.084 1.72693 -8.96598 -0.07692 0.0002531979 -1.20380 29.015 0.001414 804.077 286.741 0.00007430689 0.00024814533 0.0000824347 0.0001040420 208016.852 196276.654 202215.507 1.78534 -9.27160 -0.07705 0.0002528247 -1.28324 30.020 0.001463 804.056 286.837 0.00007382195 0.00024862833 0.0000819019 0.0001041896 207998.177 196446.000 202220.005 1.84332 -9.57551 -0.07699 0.0002524395 -1.36503 31.005 0.001511 804.050 286.937 0.00007334800 0.00024909411 0.0000813776 0.0001043250 207992.658 196626.764 202239.061 1.89969 -9.87151 -0.07676 0.0002520507 -1.44741 32.011 0.001560 804.058 287.044 0.00007286538 0.00024956195 0.0000808401 0.0001044540 208000.103 196826.460 202273.506 1.95677 -10.17186 -0.07634 0.0002516421 -1.53379 33.016 0.001609 804.081 287.157 0.00007238407 0.00025002198 0.0000803004 0.0001045735 208020.800 197041.461 202323.135 2.01336 -10.47033 -0.07573 0.0002512219 -1.62247 34.001 0.001657 804.117 287.273 0.00007191394 0.00025046492 0.0000797698 0.0001046814 208053.967 197266.896 202386.517 2.06830 -10.76082 -0.07496 0.0002507992 -1.71156 35.007 0.001706 804.169 287.397 0.00007143549 0.00025090913 0.0000792262 0.0001047821 208101.033 197512.141 202466.339 2.12388 -11.05537 -0.07398 0.0002503563 -1.80473 36.012 0.001755 804.235 287.527 0.00007095862 0.00025134518 0.0000786810 0.0001048732 208161.494 197772.639 202561.487 2.17891 -11.34784 -0.07282 0.0002499023 -1.90015 37.018 0.001804 804.317 287.662 0.00007048344 0.00025177295 0.0000781343 0.0001049548 208235.406 198048.372 202672.014 2.23337 -11.63818 -0.07146 0.0002494371 -1.99779 38.003 0.001852 804.411 287.800 0.00007001969 0.00025218384 0.0000775974 0.0001050254 208320.911 198333.234 202795.252 2.28616 -11.92046 -0.06996 0.0002489708 -2.09558 39.008 0.001901 804.522 287.946 0.00006954812 0.00025259486 0.0000770481 0.0001050879 208421.635 198639.077 202936.398 2.33946 -12.20638 -0.06823 0.0002484841 -2.19757 40.014 0.001950 804.647 288.098 0.00006907853 0.00025299723 0.0000764979 0.0001051408 208536.005 198960.103 203093.108 2.39213 -12.48996 -0.06631 0.0002479867 -2.30172 41.019 0.001999 804.788 288.255 0.00006861100 0.00025339083 0.0000759468 0.0001051840 208664.095 199296.295 203265.452 2.44416 -12.77115 -0.06420 0.0002474788 -2.40803 42.004 0.002047 804.941 288.414 0.00006815512 0.00025376776 0.0000754063 0.0001052169 208802.952 199640.313 203449.509 2.49449 -13.04421 -0.06195 0.0002469713 -2.51424 43.010 0.002096 805.111 288.581 0.00006769199 0.00025414359 0.0000748540 0.0001052410 208958.444 200006.471 203653.026 2.54520 -13.32046 -0.05946 0.0002464431 -2.62475 44.015 0.002145 805.297 288.754 0.00006723123 0.00025451025 0.0000743014 0.0001052553 209127.911 200387.736 203872.413 2.59520 -13.59410 -0.05678 0.0002459048 -2.73735 45.000 0.002193 805.495 288.929 0.00006678226 0.00025486039 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289.039 0.00009662379 0.00021875945 0.0001018251 0.0000880639 223502.620 206066.419 218694.910 5.82568 5.88779 3.88493 0.0002562370 2.84145 343.012 0.016716 820.007 288.840 0.00009618494 0.00021949783 0.0001015697 0.0000885542 222865.288 205475.426 217996.641 5.88585 5.56338 3.87638 0.0002564720 2.88541 344.017 0.016765 819.353 288.647 0.00009574306 0.00022023267 0.0001013058 0.0000890399 222241.723 204902.094 217313.684 5.94631 5.23814 3.86803 0.0002566938 2.92641 345.002 0.016813 818.724 288.466 0.00009530736 0.00022094899 0.0001010391 0.0000895112 221644.204 204357.510 216659.502 6.00580 4.91881 3.86003 0.0002568983 2.96370 346.008 0.016862 818.095 288.287 0.00009485977 0.00022167655 0.0001007585 0.0000899874 221047.805 203818.907 216006.828 6.06679 4.59212 3.85204 0.0002570940 2.99885 347.013 0.016911 817.480 288.115 0.00009440944 0.00022240030 0.0001004696 0.0000904587 220465.085 203297.731 215369.432 6.12802 4.26478 3.84425 0.0002572763 3.03107 348.019 0.016960 816.878 287.950 0.00009395645 0.00022312015 0.0001001725 0.0000909249 219896.013 202793.905 214747.303 6.18949 3.93685 3.83663 0.0002574453 3.06035 349.004 0.017008 816.301 287.795 0.00009351022 0.00022382146 0.0000998735 0.0000913763 219351.757 202317.108 214152.657 6.24992 3.61510 3.82936 0.0002575979 3.08620 350.009 0.017057 815.725 287.643 0.00009305225 0.00022453336 0.0000995603 0.0000918319 218809.610 201847.401 213560.703 6.31181 3.28617 3.82212 0.0002577402 3.10971 351.015 0.017106 815.163 287.498 0.00009259190 0.00022524110 0.0000992392 0.0000922818 218281.019 201394.819 212983.968 6.37391 2.95681 3.81506 0.0002578691 3.13031 352.020 0.017155 814.614 287.360 0.00009212925 0.00022594462 0.0000989103 0.0000927261 217765.951 200959.288 212422.435 6.43619 2.62709 3.80819 0.0002579844 3.14803 353.005 0.017203 814.090 287.231 0.00009167391 0.00022662960 0.0000985805 0.0000931556 217274.478 200549.108 211887.085 6.49736 2.30379 3.80165 0.0002580842 3.16259 354.011 0.017252 813.568 287.106 0.00009120700 0.00022732450 0.0000982364 0.0000935882 216786.092 200147.119 211355.593 6.55996 1.97349 3.79514 0.0002581726 3.17462 355.016 0.017301 813.059 286.988 0.00009073806 0.00022801493 0.0000978847 0.0000940146 216311.138 199761.970 210839.250 6.62271 1.64300 3.78883 0.0002582473 3.18379 356.001 0.017349 812.574 286.878 0.00009027682 0.00022868685 0.0000975329 0.0000944264 215858.871 199400.943 210348.114 6.68431 1.31910 3.78282 0.0002583073 3.19001 357.007 0.017398 812.092 286.773 0.00008980414 0.00022936818 0.0000971666 0.0000948403 215410.418 199048.929 209861.703 6.74730 0.98836 3.77687 0.0002583550 3.19355 358.012 0.017447 811.624 286.674 0.00008932970 0.00023004480 0.0000967931 0.0000952478 214975.310 198713.556 209390.384 6.81040 0.65758 3.77110 0.0002583889 3.19427 359.018 0.017496 811.170 286.582 0.00008885359 0.00023071662 0.0000964125 0.0000956487 214553.515 198394.759 208934.140 6.87358 0.32681 3.76552 0.0002584092 3.19218 360.003 0.017544 810.738 286.498 0.00008838566 0.00023137000 0.0000960329 0.0000960349 214153.212 198098.481 208501.805 6.93555 0.00285 3.76023 0.0002584157 3.18742 Engine speed (Hz) = 57.0000000000 Output power (W) = 181.6756886923 Heat into heater (W) = 395.3262844503 Heat to regenerator (W) = 0.1624209924 Heat removal from cooler (W) = 214.3332897102 Approximate Pumping loss (W) = -121.0505083787 Thermal efficiency (%) = 45.9558839972 The average engine pressure (Pa) = 273695.8783403779 The exp space work per cycle (J) = 6.9391608216 The comp space work per cycle (J) = -3.7518680375 The net work per cycle (J) = 3.1872927841 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.5227318209 The expansion work for Vmin-to-Vmax (J) = 25.7100246050 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000000 811.412 286.560 0.00008848001 0.00023117815 0.0000960310 0.0000960367 214564.061 197973.179 208729.102 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.009 0.000048 810.987 286.481 0.00008800220 0.00023183889 0.0000956380 0.0000964228 214170.243 197689.670 208302.644 0.06284 -0.32974 -0.00522 0.0002584088 -0.00781 2.012 0.000096 810.576 286.409 0.00008752295 0.00023249468 0.0000952382 0.0000968020 213789.486 197422.485 207891.078 0.12573 -0.65934 -0.01025 0.0002583883 -0.01838 3.014 0.000144 810.178 286.343 0.00008704235 0.00023314544 0.0000948319 0.0000971742 213421.763 197171.567 207494.386 0.18864 -0.98874 -0.01510 0.0002583541 -0.03169 4.016 0.000192 809.794 286.284 0.00008656049 0.00023379110 0.0000944191 0.0000975392 213067.049 196936.858 207112.554 0.25158 -1.31789 -0.01978 0.0002583063 -0.04773 5.018 0.000240 809.424 286.230 0.00008607745 0.00023443156 0.0000940000 0.0000978969 212725.319 196718.306 206745.566 0.31452 -1.64673 -0.02426 0.0002582450 -0.06649 6.021 0.000288 809.067 286.184 0.00008559331 0.00023506676 0.0000935747 0.0000982473 212396.551 196515.858 206393.407 0.37745 -1.97522 -0.02857 0.0002581700 -0.08795 7.002 0.000335 808.731 286.144 0.00008511828 0.00023568355 0.0000931524 0.0000985830 212087.170 196333.181 206062.940 0.43904 -2.29647 -0.03262 0.0002580835 -0.11157 8.004 0.000383 808.401 286.110 0.00008463223 0.00023630809 0.0000927153 0.0000989184 211783.991 196162.454 205740.090 0.50190 -2.62410 -0.03656 0.0002579817 -0.13834 9.006 0.000431 808.085 286.082 0.00008414534 0.00023692712 0.0000922723 0.0000992462 211493.710 196007.683 205432.032 0.56470 -2.95121 -0.04033 0.0002578665 -0.16778 10.009 0.000479 807.782 286.060 0.00008365770 0.00023754056 0.0000918237 0.0000995661 211216.310 195868.821 205138.755 0.62742 -3.27775 -0.04392 0.0002577378 -0.19986 11.011 0.000527 807.494 286.044 0.00008316940 0.00023814834 0.0000913695 0.0000998781 210951.774 195745.824 204860.249 0.69006 -3.60368 -0.04733 0.0002575956 -0.23457 12.013 0.000575 807.219 286.035 0.00008268051 0.00023875036 0.0000909100 0.0001001821 210700.086 195638.649 204596.507 0.75258 -3.92893 -0.05055 0.0002574401 -0.27191 13.015 0.000623 806.958 286.031 0.00008219112 0.00023934655 0.0000904452 0.0001004780 210461.235 195547.254 204347.523 0.81499 -4.25346 -0.05360 0.0002572713 -0.31184 14.018 0.000671 806.711 286.034 0.00008170133 0.00023993681 0.0000899753 0.0001007658 210235.207 195471.600 204113.290 0.87725 -4.57720 -0.05647 0.0002570891 -0.35437 15.020 0.000719 806.477 286.043 0.00008121122 0.00024052108 0.0000895005 0.0001010453 210021.992 195411.648 203893.806 0.93936 -4.90011 -0.05915 0.0002568938 -0.39947 16.001 0.000766 806.262 286.058 0.00008073109 0.00024108727 0.0000890309 0.0001013109 209825.628 195368.124 203693.184 1.00001 -5.21543 -0.06160 0.0002566897 -0.44611 17.004 0.000814 806.056 286.079 0.00008024059 0.00024165940 0.0000885466 0.0001015738 209637.752 195339.142 203502.887 1.06175 -5.53653 -0.06393 0.0002564684 -0.49627 18.006 0.000862 805.864 286.105 0.00007975002 0.00024222526 0.0000880578 0.0001018282 209462.672 195325.756 203327.339 1.12329 -5.85664 -0.06608 0.0002562340 -0.54895 19.008 0.000910 805.686 286.138 0.00007925948 0.00024278478 0.0000875647 0.0001020740 209300.386 195327.935 203166.543 1.18461 -6.17569 -0.06805 0.0002559867 -0.60414 20.010 0.000958 805.522 286.177 0.00007876905 0.00024333786 0.0000870673 0.0001023111 209150.895 195345.648 203020.506 1.24569 -6.49363 -0.06983 0.0002557264 -0.66183 21.012 0.001006 805.372 286.222 0.00007827881 0.00024388440 0.0000865659 0.0001025395 209014.200 195378.864 202889.236 1.30650 -6.81042 -0.07144 0.0002554534 -0.72200 22.015 0.001054 805.236 286.273 0.00007778886 0.00024442432 0.0000860605 0.0001027591 208890.308 195427.555 202772.742 1.36704 -7.12599 -0.07286 0.0002551676 -0.78463 23.017 0.001102 805.114 286.329 0.00007729928 0.00024495753 0.0000855514 0.0001029698 208779.225 195491.695 202671.036 1.42729 -7.44028 -0.07411 0.0002548692 -0.84972 24.019 0.001150 805.006 286.392 0.00007681016 0.00024548393 0.0000850387 0.0001031716 208680.964 195571.257 202584.134 1.48722 -7.75325 -0.07517 0.0002545583 -0.91724 25.001 0.001197 804.913 286.458 0.00007633176 0.00024599267 0.0000845333 0.0001033604 208597.184 195664.082 202513.403 1.54559 -8.05835 -0.07604 0.0002542418 -0.98569 26.003 0.001245 804.833 286.532 0.00007584382 0.00024650530 0.0000840139 0.0001035443 208524.338 195774.095 202455.853 1.60486 -8.36851 -0.07674 0.0002539063 -1.05797 27.005 0.001293 804.767 286.612 0.00007535660 0.00024701083 0.0000834914 0.0001037191 208464.360 195899.460 202413.164 1.66375 -8.67717 -0.07726 0.0002535585 -1.13264 28.007 0.001341 804.715 286.697 0.00007487019 0.00024750916 0.0000829658 0.0001038848 208417.273 196040.155 202385.363 1.72227 -8.98428 -0.07760 0.0002531986 -1.20967 29.010 0.001389 804.677 286.789 0.00007438470 0.00024800018 0.0000824375 0.0001040412 208383.101 196196.159 202372.477 1.78038 -9.28977 -0.07776 0.0002528267 -1.28905 30.012 0.001437 804.654 286.886 0.00007390020 0.00024848380 0.0000819065 0.0001041883 208361.874 196367.452 202374.536 1.83807 -9.59358 -0.07774 0.0002524429 -1.37076 31.014 0.001485 804.645 286.988 0.00007341679 0.00024895990 0.0000813730 0.0001043262 208353.623 196554.015 202391.575 1.89532 -9.89565 -0.07753 0.0002520472 -1.45479 32.016 0.001533 804.650 287.096 0.00007293456 0.00024942837 0.0000808372 0.0001044547 208358.384 196755.828 202423.630 1.95211 -10.19593 -0.07714 0.0002516399 -1.54111 33.018 0.001581 804.670 287.210 0.00007245361 0.00024988912 0.0000802992 0.0001045738 208376.196 196972.874 202470.742 2.00843 -10.49435 -0.07656 0.0002512210 -1.62972 34.021 0.001629 804.704 287.330 0.00007197403 0.00025034201 0.0000797593 0.0001046834 208407.103 197205.135 202532.954 2.06425 -10.79084 -0.07580 0.0002507907 -1.72058 35.002 0.001676 804.751 287.452 0.00007150585 0.00025077776 0.0000792288 0.0001047816 208450.100 197447.282 202608.546 2.11841 -11.07924 -0.07487 0.0002503584 -1.81173 36.004 0.001724 804.813 287.583 0.00007102926 0.00025121480 0.0000786853 0.0001048726 208507.067 197709.603 202700.785 2.17319 -11.37176 -0.07374 0.0002499059 -1.90702 37.007 0.001772 804.891 287.719 0.00007055431 0.00025164363 0.0000781403 0.0001049540 208577.281 197987.087 202808.275 2.22741 -11.66216 -0.07243 0.0002494423 -2.00452 38.009 0.001820 804.982 287.860 0.00007008111 0.00025206416 0.0000775940 0.0001050258 208660.803 198279.716 202931.073 2.28107 -11.95040 -0.07093 0.0002489679 -2.10420 39.011 0.001868 805.089 288.007 0.00006960975 0.00025247625 0.0000770466 0.0001050881 208757.698 198587.472 203069.242 2.33413 -12.23639 -0.06924 0.0002484827 -2.20606 40.013 0.001916 805.210 288.159 0.00006914033 0.00025287977 0.0000764981 0.0001051408 208868.036 198910.338 203222.849 2.38658 -12.52009 -0.06736 0.0002479869 -2.31007 41.016 0.001964 805.346 288.317 0.00006867296 0.00025327461 0.0000759488 0.0001051839 208991.890 199248.295 203391.962 2.43840 -12.80141 -0.06529 0.0002474807 -2.41622 42.018 0.002012 805.497 288.480 0.00006820772 0.00025366062 0.0000753988 0.0001052173 209129.340 199601.323 203576.658 2.48957 -13.08030 -0.06303 0.0002469641 -2.52448 43.020 0.002060 805.663 288.648 0.00006774472 0.00025403767 0.0000748483 0.0001052412 209280.473 199969.403 203777.016 2.54007 -13.35668 -0.06058 0.0002464375 -2.63483 44.001 0.002107 805.840 288.819 0.00006729363 0.00025439806 0.0000743090 0.0001052552 209441.802 200344.377 203988.456 2.58884 -13.62481 -0.05799 0.0002459122 -2.74490 45.004 0.002155 806.035 288.997 0.00006683536 0.00025475698 0.0000737580 0.0001052600 209620.287 200742.181 204220.066 2.63795 -13.89603 -0.05516 0.0002453660 -2.85934 46.006 0.002203 806.246 289.182 0.00006637964 0.00025510652 0.0000732070 0.0001052551 209812.742 201154.968 204467.603 2.68633 -14.16453 -0.05213 0.0002448102 -2.97583 47.008 0.002251 806.472 289.371 0.00006592656 0.00025544655 0.0000726562 0.0001052407 210019.277 201582.713 204731.170 2.73396 -14.43024 -0.04891 0.0002442449 -3.09432 48.010 0.002299 806.714 289.565 0.00006547623 0.00025577690 0.0000721057 0.0001052165 210240.007 202025.386 205010.870 2.78081 -14.69309 -0.04549 0.0002436703 -3.21482 49.013 0.002347 806.971 289.765 0.00006502876 0.00025609742 0.0000715557 0.0001051828 210475.055 202482.958 205306.818 2.82688 -14.95301 -0.04187 0.0002430865 -3.33729 50.015 0.002395 807.243 289.970 0.00006458425 0.00025640796 0.0000710064 0.0001051394 210724.551 202955.395 205619.130 2.87213 -15.20992 -0.03804 0.0002424939 -3.46172 51.017 0.002443 807.531 290.180 0.00006414281 0.00025670835 0.0000704580 0.0001050865 210988.632 203442.661 205947.932 2.91655 -15.46374 -0.03402 0.0002418925 -3.58809 52.019 0.002491 807.835 290.394 0.00006370456 0.00025699843 0.0000699106 0.0001050239 211267.445 203944.715 206293.356 2.96012 -15.71440 -0.02980 0.0002412825 -3.71637 53.001 0.002538 808.149 290.610 0.00006327863 0.00025727231 0.0000693757 0.0001049534 211554.872 204450.597 206647.824 3.00193 -15.95669 -0.02546 0.0002406771 -3.84381 54.003 0.002586 808.484 290.834 0.00006284700 0.00025754147 0.0000688307 0.0001048719 211863.305 204981.787 207026.566 3.04374 -16.20085 -0.02083 0.0002400507 -3.97581 55.005 0.002634 808.836 291.064 0.00006241889 0.00025779980 0.0000682873 0.0001047809 212186.955 205527.621 207422.370 3.08464 -16.44160 -0.01599 0.0002394162 -4.10967 56.007 0.002682 809.204 291.298 0.00006199442 0.00025804710 0.0000677455 0.0001046805 212526.005 206088.041 207835.403 3.12460 -16.67886 -0.01093 0.0002387740 -4.24535 57.010 0.002730 809.589 291.537 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0.00009130323 0.00022713417 0.0000982377 0.0000935865 217176.364 199997.163 211574.978 6.53329 1.97127 3.82012 0.0002581723 3.12192 355.009 0.017002 813.679 287.009 0.00009083587 0.00022782283 0.0000978872 0.0000940116 216703.823 199614.677 211059.062 6.59557 1.64179 3.81381 0.0002582468 3.13087 356.011 0.017050 813.187 286.898 0.00009036655 0.00022850702 0.0000975293 0.0000944305 216244.516 199248.891 210558.144 6.65797 1.31214 3.80768 0.0002583078 3.13700 357.013 0.017098 812.709 286.793 0.00008989536 0.00022918666 0.0000971641 0.0000948431 215798.412 198899.738 210072.206 6.72050 0.98237 3.80173 0.0002583552 3.14030 358.016 0.017146 812.243 286.695 0.00008942239 0.00022986166 0.0000967917 0.0000952493 215365.481 198567.154 209601.230 6.78313 0.65253 3.79597 0.0002583890 3.14080 359.018 0.017194 811.792 286.604 0.00008894772 0.00023053195 0.0000964123 0.0000956489 214945.694 198251.073 209145.196 6.84585 0.32268 3.79039 0.0002584092 3.13851 360.020 0.017242 811.354 286.519 0.00008847144 0.00023119745 0.0000960260 0.0000960417 214539.021 197951.434 208704.088 6.90865 -0.00714 3.78500 0.0002584157 3.13343 Engine speed (Hz) = 58.0000000000 Output power (W) = 181.7312030539 Heat into heater (W) = 400.7016708464 Heat to regenerator (W) = -0.4138435163 Heat removal from cooler (W) = 219.5298699636 Approximate Pumping loss (W) = -126.9375572598 Thermal efficiency (%) = 45.3532431422 The average engine pressure (Pa) = 273779.1104893133 The exp space work per cycle (J) = 6.9078098203 The comp space work per cycle (J) = -3.7745132160 The net work per cycle (J) = 3.1332966044 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.5527476618 The expansion work for Vmin-to-Vmax (J) = 25.6860442661 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.020 0.000001 812.038 286.580 0.00008856910 0.00023100027 0.0000960261 0.0000960416 214956.612 197825.177 208936.092 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.018 0.000048 811.616 286.503 0.00008809302 0.00023165906 0.0000956346 0.0000964261 214565.024 197544.652 208510.144 0.06233 -0.32862 -0.00521 0.0002584087 -0.00802 2.016 0.000095 811.207 286.432 0.00008761548 0.00023231299 0.0000952363 0.0000968038 214186.306 197280.356 208098.937 0.12472 -0.65712 -0.01024 0.0002583882 -0.01877 3.015 0.000142 810.812 286.367 0.00008713657 0.00023296198 0.0000948316 0.0000971745 213820.430 197032.231 207702.453 0.18714 -0.98545 -0.01509 0.0002583541 -0.03225 4.013 0.000189 810.430 286.308 0.00008665636 0.00023360595 0.0000944205 0.0000975380 213467.371 196800.223 207320.679 0.24958 -1.31356 -0.01976 0.0002583065 -0.04844 5.011 0.000236 810.061 286.256 0.00008617494 0.00023424483 0.0000940031 0.0000978944 213127.103 196584.275 206953.597 0.31202 -1.64139 -0.02425 0.0002582455 -0.06732 6.009 0.000283 809.706 286.210 0.00008569240 0.00023487854 0.0000935795 0.0000982434 212799.601 196384.338 206601.194 0.37447 -1.96889 -0.02856 0.0002581709 -0.08889 7.008 0.000330 809.364 286.171 0.00008520882 0.00023550699 0.0000931499 0.0000985850 212484.843 196200.358 206263.456 0.43688 -2.29601 -0.03269 0.0002580829 -0.11313 8.006 0.000377 809.036 286.137 0.00008472429 0.00023613011 0.0000927145 0.0000989190 212182.808 196032.288 205940.371 0.49926 -2.62270 -0.03665 0.0002579815 -0.14002 9.004 0.000424 808.721 286.110 0.00008423889 0.00023674782 0.0000922733 0.0000992455 211893.473 195880.080 205631.927 0.56159 -2.94891 -0.04042 0.0002578668 -0.16955 10.003 0.000471 808.420 286.089 0.00008375271 0.00023736003 0.0000918265 0.0000995641 211616.821 195743.688 205338.114 0.62384 -3.27458 -0.04401 0.0002577386 -0.20172 11.001 0.000518 808.133 286.074 0.00008326584 0.00023796667 0.0000913741 0.0000998750 211352.833 195623.068 205058.922 0.68601 -3.59966 -0.04743 0.0002575971 -0.23649 12.020 0.000566 807.853 286.065 0.00008276797 0.00023858038 0.0000909067 0.0001001842 211096.284 195516.115 204788.874 0.74940 -3.93099 -0.05073 0.0002574390 -0.27469 13.019 0.000613 807.593 286.063 0.00008227994 0.00023917550 0.0000904437 0.0001004790 210857.847 195427.244 204539.213 0.81135 -4.25471 -0.05379 0.0002572707 -0.31470 14.017 0.000660 807.346 286.067 0.00008179147 0.00023976480 0.0000899757 0.0001007656 210632.032 195354.020 204304.155 0.87316 -4.57768 -0.05666 0.0002570893 -0.35728 15.015 0.000707 807.113 286.076 0.00008130265 0.00024034819 0.0000895027 0.0001010440 210418.826 195296.406 204083.696 0.93482 -4.89985 -0.05936 0.0002568947 -0.40242 16.014 0.000754 806.893 286.092 0.00008081356 0.00024092559 0.0000890250 0.0001013141 210218.222 195254.365 203877.833 0.99632 -5.22116 -0.06188 0.0002566871 -0.45009 17.012 0.000801 806.687 286.114 0.00008032428 0.00024149691 0.0000885426 0.0001015759 210030.211 195227.861 203686.567 1.05763 -5.54156 -0.06422 0.0002564665 -0.50029 18.010 0.000848 806.495 286.142 0.00007983491 0.00024206207 0.0000880557 0.0001018292 209854.790 195216.861 203509.900 1.11875 -5.86100 -0.06638 0.0002562330 -0.55300 19.008 0.000895 806.317 286.175 0.00007934552 0.00024262097 0.0000875645 0.0001020740 209691.954 195221.333 203347.836 1.17964 -6.17941 -0.06836 0.0002559866 -0.60819 20.007 0.000942 806.152 286.215 0.00007885621 0.00024317353 0.0000870691 0.0001023103 209541.704 195241.247 203200.379 1.24031 -6.49675 -0.07017 0.0002557274 -0.66587 21.005 0.000989 806.001 286.261 0.00007836707 0.00024371966 0.0000865697 0.0001025378 209404.041 195276.572 203067.538 1.30072 -6.81296 -0.07179 0.0002554555 -0.72601 22.003 0.001036 805.863 286.312 0.00007787817 0.00024425927 0.0000860664 0.0001027566 209278.969 195327.281 202949.322 1.36086 -7.12799 -0.07324 0.0002551710 -0.78859 23.001 0.001083 805.740 286.369 0.00007738961 0.00024479226 0.0000855593 0.0001029666 209166.494 195393.347 202845.745 1.42072 -7.44178 -0.07450 0.0002548739 -0.85360 24.021 0.001131 805.628 286.434 0.00007689109 0.00024532967 0.0000850378 0.0001031719 209064.639 195476.641 202755.087 1.48153 -7.76090 -0.07561 0.0002545577 -0.92248 25.019 0.001178 805.532 286.503 0.00007640348 0.00024584900 0.0000845236 0.0001033640 208977.660 195573.670 202681.143 1.54076 -8.07201 -0.07652 0.0002542356 -0.99235 26.018 0.001225 805.451 286.578 0.00007591647 0.00024636142 0.0000840062 0.0001035470 208903.314 195685.980 202621.889 1.59964 -8.38170 -0.07724 0.0002539012 -1.06460 27.016 0.001272 805.383 286.658 0.00007543016 0.00024686684 0.0000834857 0.0001037210 208841.622 195813.550 202577.345 1.65817 -8.68993 -0.07779 0.0002535547 -1.13921 28.014 0.001319 805.329 286.745 0.00007494463 0.00024736516 0.0000829622 0.0001038859 208792.602 195956.358 202547.538 1.71632 -8.99663 -0.07815 0.0002531961 -1.21617 29.012 0.001366 805.289 286.837 0.00007445997 0.00024785627 0.0000824360 0.0001040416 208756.280 196114.384 202532.495 1.77408 -9.30174 -0.07834 0.0002528256 -1.29546 30.011 0.001413 805.263 286.934 0.00007397628 0.00024834007 0.0000819071 0.0001041882 208732.683 196287.607 202532.246 1.83143 -9.60521 -0.07834 0.0002524433 -1.37706 31.009 0.001460 805.251 287.038 0.00007349363 0.00024881646 0.0000813757 0.0001043255 208721.843 196476.007 202546.825 1.88835 -9.90697 -0.07816 0.0002520493 -1.46096 32.007 0.001507 805.253 287.147 0.00007301214 0.00024928532 0.0000808420 0.0001044536 208723.793 196679.567 202576.268 1.94481 -10.20697 -0.07780 0.0002516436 -1.54713 33.006 0.001554 805.269 287.261 0.00007253189 0.00024974656 0.0000803062 0.0001045723 208738.572 196898.267 202620.616 2.00082 -10.50515 -0.07726 0.0002512265 -1.63556 34.004 0.001601 805.299 287.381 0.00007205296 0.00025020004 0.0000797684 0.0001046817 208766.223 197132.090 202679.912 2.05633 -10.80144 -0.07653 0.0002507981 -1.72623 35.002 0.001648 805.344 287.507 0.00007157547 0.00025064567 0.0000792288 0.0001047816 208806.791 197381.018 202754.202 2.11134 -11.09578 -0.07562 0.0002503584 -1.81913 36.000 0.001695 805.403 287.638 0.00007109949 0.00025108333 0.0000786874 0.0001048722 208860.328 197645.033 202843.537 2.16582 -11.38811 -0.07453 0.0002499077 -1.91424 37.020 0.001743 805.477 287.778 0.00007061505 0.00025152194 0.0000781331 0.0001049550 208928.445 197930.220 202950.358 2.22091 -11.68451 -0.07322 0.0002494361 -2.01363 38.018 0.001790 805.565 287.920 0.00007014244 0.00025194312 0.0000775889 0.0001050264 209008.366 198224.678 203070.273 2.27428 -11.97258 -0.07176 0.0002489634 -2.11314 39.016 0.001837 805.667 288.068 0.00006967163 0.00025235595 0.0000770436 0.0001050884 209101.435 198534.169 203205.408 2.32706 -12.25844 -0.07010 0.0002484800 -2.21480 40.015 0.001884 805.784 288.221 0.00006920274 0.00025276033 0.0000764973 0.0001051408 209207.720 198858.676 203355.830 2.37925 -12.54204 -0.06826 0.0002479862 -2.31860 41.013 0.001931 805.915 288.379 0.00006873585 0.00025315611 0.0000759502 0.0001051838 209327.297 199198.179 203521.609 2.43081 -12.82329 -0.06624 0.0002474819 -2.42451 42.011 0.001978 806.061 288.543 0.00006827106 0.00025354316 0.0000754023 0.0001052172 209460.243 199552.660 203702.820 2.48173 -13.10214 -0.06402 0.0002469675 -2.53251 43.010 0.002025 806.222 288.712 0.00006780848 0.00025392136 0.0000748540 0.0001052410 209606.645 199922.096 203899.543 2.53200 -13.37851 -0.06161 0.0002464431 -2.64260 44.008 0.002072 806.397 288.886 0.00006734820 0.00025429056 0.0000743054 0.0001052553 209766.593 200306.466 204111.863 2.58158 -13.65234 -0.05902 0.0002459087 -2.75474 45.006 0.002119 806.587 289.066 0.00006689033 0.00025465062 0.0000737566 0.0001052600 209940.183 200705.746 204339.870 2.63046 -13.92356 -0.05623 0.0002453646 -2.86891 46.004 0.002166 806.792 289.250 0.00006643497 0.00025500140 0.0000732078 0.0001052552 210127.518 201119.912 204583.658 2.67863 -14.19210 -0.05324 0.0002448110 -2.98511 47.003 0.002213 807.012 289.440 0.00006598223 0.00025534276 0.0000726592 0.0001052408 210328.708 201548.937 204843.329 2.72605 -14.45788 -0.05007 0.0002442479 -3.10330 48.001 0.002260 807.247 289.635 0.00006553220 0.00025567454 0.0000721108 0.0001052168 210543.868 201992.792 205118.988 2.77271 -14.72082 -0.04669 0.0002436757 -3.22348 49.020 0.002308 807.503 289.840 0.00006507552 0.00025600334 0.0000715514 0.0001051825 210778.153 202461.363 205417.132 2.81956 -14.98637 -0.04305 0.0002430819 -3.34823 50.019 0.002355 807.769 290.045 0.00006463131 0.00025631529 0.0000710043 0.0001051392 211021.936 202935.093 205725.460 2.86463 -15.24337 -0.03928 0.0002424915 -3.47234 51.017 0.002402 808.051 290.255 0.00006419014 0.00025661718 0.0000704580 0.0001050865 211280.084 203423.549 206050.137 2.90887 -15.49731 -0.03530 0.0002418925 -3.59837 52.015 0.002449 808.348 290.471 0.00006375213 0.00025690885 0.0000699127 0.0001050242 211552.744 203926.688 206391.297 2.95227 -15.74812 -0.03113 0.0002412849 -3.72629 53.014 0.002496 808.661 290.691 0.00006331738 0.00025719012 0.0000693686 0.0001049524 211840.073 204444.466 206749.082 2.99481 -15.99571 -0.02675 0.0002406690 -3.85609 54.012 0.002543 808.989 290.916 0.00006288600 0.00025746083 0.0000688258 0.0001048712 212142.234 204976.832 207123.640 3.03646 -16.24000 -0.02217 0.0002400450 -3.98775 55.010 0.002590 809.334 291.146 0.00006245811 0.00025772079 0.0000682845 0.0001047805 212459.402 205523.733 207515.129 3.07721 -16.48092 -0.01738 0.0002394130 -4.12123 56.008 0.002637 809.694 291.381 0.00006203383 0.00025796981 0.0000677449 0.0001046804 212791.761 206085.106 207923.719 3.11703 -16.71837 -0.01238 0.0002387733 -4.25653 57.007 0.002684 810.071 291.620 0.00006161326 0.00025820769 0.0000672071 0.0001045709 213139.507 206660.885 208349.587 3.15591 -16.95228 -0.00717 0.0002381260 -4.39362 58.005 0.002731 810.465 291.865 0.00006119653 0.00025843425 0.0000666713 0.0001044520 213502.848 207250.995 208792.923 3.19381 -17.18255 -0.00175 0.0002374714 -4.53247 59.003 0.002778 810.875 292.114 0.00006078376 0.00025864927 0.0000661377 0.0001043239 213882.002 207855.354 209253.929 3.23072 -17.40909 0.00389 0.0002368096 -4.67307 60.002 0.002825 811.301 292.367 0.00006037507 0.00025885254 0.0000656063 0.0001041864 214277.205 208473.868 209732.822 3.26662 -17.63182 0.00975 0.0002361408 -4.81539 61.021 0.002873 811.755 292.631 0.00005996202 0.00025904777 0.0000650662 0.0001040365 214697.639 209120.047 210240.606 3.30222 -17.85525 0.01596 0.0002354508 -4.96248 62.019 0.002920 812.216 292.893 0.00005956196 0.00025922658 0.0000645401 0.0001038805 215126.056 209766.846 210756.379 3.33600 -18.06997 0.02227 0.0002347686 -5.10821 63.018 0.002967 812.695 293.160 0.00005916636 0.00025939294 0.0000640167 0.0001037153 215571.325 210427.450 211290.797 3.36871 -18.28058 0.02881 0.0002340800 -5.25559 64.016 0.003014 813.192 293.432 0.00005877535 0.00025954658 0.0000634963 0.0001035410 216033.752 211101.710 211844.154 3.40031 -18.48698 0.03557 0.0002333853 -5.40459 65.014 0.003061 813.706 293.707 0.00005838907 0.00025968723 0.0000629790 0.0001033576 216513.665 211789.458 212416.776 3.43077 -18.68905 0.04258 0.0002326846 -5.55520 66.012 0.003108 814.239 293.987 0.00005800767 0.00025981458 0.0000624650 0.0001031653 217011.421 212490.501 213009.021 3.46009 -18.88669 0.04982 0.0002319783 -5.70738 67.011 0.003155 814.790 294.271 0.00005763128 0.00025992833 0.0000619544 0.0001029641 217527.410 213204.613 213621.296 3.48822 -19.07978 0.05731 0.0002312664 -5.86112 68.009 0.003202 815.361 294.558 0.00005726005 0.00026002813 0.0000614474 0.0001027539 218062.063 213931.530 214254.064 3.51514 -19.26818 0.06506 0.0002305493 -6.01638 69.007 0.003249 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0.00009139899 0.00022694380 0.0000982381 0.0000935860 217569.653 199844.050 211795.518 6.50469 1.97640 3.84537 0.0002581722 3.06872 355.004 0.016714 814.306 287.029 0.00009093357 0.00022763016 0.0000978890 0.0000940095 217099.983 199464.503 211280.468 6.56644 1.64820 3.83907 0.0002582465 3.07744 356.002 0.016761 813.817 286.919 0.00009046616 0.00022831213 0.0000975325 0.0000944268 216643.360 199101.561 210780.264 6.62833 1.31980 3.83295 0.0002583073 3.08336 357.000 0.016808 813.342 286.815 0.00008999686 0.00022898964 0.0000971689 0.0000948378 216199.755 198755.158 210294.886 6.69033 0.99126 3.82701 0.0002583547 3.08648 358.020 0.016856 812.870 286.716 0.00008951571 0.00022967687 0.0000967901 0.0000952510 215760.114 198418.387 209814.468 6.75377 0.65563 3.82113 0.0002583891 3.08679 359.018 0.016903 812.421 286.626 0.00008904285 0.00023034511 0.0000964122 0.0000956490 215342.725 198105.215 209359.006 6.81598 0.32694 3.81556 0.0002584092 3.08429 360.017 0.016950 811.986 286.542 0.00008856835 0.00023100865 0.0000960274 0.0000960403 214938.262 197808.390 208918.318 6.87827 -0.00172 3.81017 0.0002584157 3.07903 Engine speed (Hz) = 59.0000000000 Output power (W) = 181.6546496509 Heat into heater (W) = 405.8178632925 Heat to regenerator (W) = -0.1016294981 Heat removal from cooler (W) = 224.8001422733 Approximate Pumping loss (W) = -132.9766736358 Thermal efficiency (%) = 44.7626056126 The average engine pressure (Pa) = 273836.0238531503 The exp space work per cycle (J) = 6.8798157502 The comp space work per cycle (J) = -3.8009233833 The net work per cycle (J) = 3.0788923670 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.5827052123 The expansion work for Vmin-to-Vmax (J) = 25.6615975793 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000000 812.682 286.603 0.00008867117 0.00023080354 0.0000960310 0.0000960367 215364.032 197682.315 209156.741 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000046 812.262 286.526 0.00008819724 0.00023145999 0.0000956414 0.0000964195 214974.715 197404.518 208731.265 0.06177 -0.32724 -0.00520 0.0002584089 -0.00815 2.016 0.000093 811.848 286.454 0.00008771146 0.00023212579 0.0000952365 0.0000968037 214590.013 197137.323 208311.587 0.12495 -0.66151 -0.01034 0.0002583882 -0.01928 3.010 0.000139 811.455 286.390 0.00008723460 0.00023277254 0.0000948337 0.0000971726 214226.267 196892.042 207915.550 0.18682 -0.98851 -0.01518 0.0002583543 -0.03290 4.003 0.000185 811.076 286.333 0.00008675642 0.00023341436 0.0000944245 0.0000975345 213875.129 196662.759 207534.050 0.24871 -1.31533 -0.01985 0.0002583070 -0.04921 5.018 0.000232 810.702 286.280 0.00008626658 0.00023406498 0.0000940000 0.0000978969 213529.351 196444.961 207159.255 0.31196 -1.64899 -0.02444 0.0002582450 -0.06863 6.012 0.000278 810.349 286.235 0.00008578599 0.00023469662 0.0000935784 0.0000982443 213203.621 196247.862 206807.101 0.37387 -1.97525 -0.02874 0.0002581707 -0.09033 7.006 0.000324 810.009 286.197 0.00008530435 0.00023532311 0.0000931509 0.0000985843 212890.423 196066.605 206469.441 0.43575 -2.30115 -0.03287 0.0002580832 -0.11467 8.021 0.000371 809.676 286.164 0.00008481121 0.00023595782 0.0000927080 0.0000989239 212583.335 195897.720 206139.398 0.49894 -2.63373 -0.03691 0.0002579799 -0.14226 9.014 0.000417 809.363 286.137 0.00008432767 0.00023657365 0.0000922688 0.0000992487 212295.404 195748.344 205831.005 0.56074 -2.95877 -0.04068 0.0002578655 -0.17191 10.008 0.000463 809.064 286.117 0.00008384332 0.00023718409 0.0000918240 0.0000995658 212019.940 195614.668 205537.071 0.62247 -3.28330 -0.04428 0.0002577379 -0.20416 11.002 0.000509 808.777 286.104 0.00008335823 0.00023778906 0.0000913738 0.0000998752 211756.923 195496.649 205257.589 0.68413 -3.60727 -0.04770 0.0002575970 -0.23900 12.017 0.000556 808.499 286.096 0.00008286195 0.00023840144 0.0000909083 0.0001001832 211501.029 195392.189 204986.949 0.74702 -3.93765 -0.05101 0.0002574395 -0.27726 13.010 0.000602 808.239 286.094 0.00008237565 0.00023899509 0.0000904476 0.0001004766 211263.129 195305.694 204736.660 0.80846 -4.26033 -0.05407 0.0002572722 -0.31729 14.004 0.000648 807.993 286.098 0.00008188889 0.00023958303 0.0000899818 0.0001007619 211037.630 195234.731 204500.803 0.86978 -4.58229 -0.05696 0.0002570917 -0.35986 15.019 0.000695 807.755 286.109 0.00008139114 0.00024017776 0.0000895008 0.0001010451 210820.026 195178.230 204274.720 0.93228 -4.91045 -0.05972 0.0002568939 -0.40598 16.013 0.000741 807.536 286.126 0.00008090368 0.00024075388 0.0000890253 0.0001013139 210619.565 195138.558 204068.030 0.99329 -5.23080 -0.06225 0.0002566873 -0.45366 17.006 0.000787 807.331 286.148 0.00008041600 0.00024132403 0.0000885452 0.0001015745 210431.475 195114.309 203875.767 1.05412 -5.55027 -0.06460 0.0002564677 -0.50383 18.000 0.000833 807.138 286.177 0.00007992819 0.00024188812 0.0000880607 0.0001018267 210255.749 195105.451 203697.931 1.11476 -5.86880 -0.06678 0.0002562354 -0.55649 19.015 0.000880 806.956 286.212 0.00007942974 0.00024245813 0.0000875611 0.0001020757 210088.971 195112.264 203531.135 1.17650 -6.19324 -0.06882 0.0002559849 -0.61285 20.009 0.000926 806.790 286.253 0.00007894192 0.00024300971 0.0000870681 0.0001023108 209938.233 195134.426 203382.481 1.23670 -6.50973 -0.07064 0.0002557268 -0.67048 21.002 0.000972 806.639 286.299 0.00007845424 0.00024355496 0.0000865710 0.0001025372 209799.856 195171.887 203248.271 1.29665 -6.82512 -0.07228 0.0002554562 -0.73056 22.018 0.001019 806.498 286.352 0.00007795618 0.00024410544 0.0000860591 0.0001027597 209671.238 195225.934 203126.073 1.35764 -7.14617 -0.07377 0.0002551668 -0.79444 23.011 0.001065 806.373 286.411 0.00007746902 0.00024463763 0.0000855544 0.0001029686 209557.859 195294.240 203021.098 1.41705 -7.45918 -0.07506 0.0002548710 -0.85939 24.005 0.001111 806.262 286.475 0.00007698225 0.00024516322 0.0000850461 0.0001031687 209456.856 195377.765 202930.604 1.47617 -7.77092 -0.07616 0.0002545628 -0.92674 25.020 0.001158 806.163 286.546 0.00007648539 0.00024569331 0.0000845233 0.0001033641 209366.451 195478.798 202853.116 1.53624 -8.08808 -0.07711 0.0002542354 -0.99799 26.014 0.001204 806.080 286.621 0.00007599968 0.00024620526 0.0000840083 0.0001035463 209290.505 195593.017 202791.952 1.59471 -8.39709 -0.07786 0.0002539026 -1.07012 27.007 0.001250 806.010 286.703 0.00007551463 0.00024671032 0.0000834902 0.0001037195 209226.976 195722.382 202745.326 1.65282 -8.70468 -0.07843 0.0002535578 -1.14458 28.001 0.001296 805.954 286.790 0.00007503032 0.00024720838 0.0000829692 0.0001038837 209175.885 195866.874 202713.263 1.71057 -9.01077 -0.07882 0.0002532010 -1.22137 29.016 0.001343 805.910 286.884 0.00007453634 0.00024770994 0.0000824341 0.0001040422 209136.553 196030.109 202695.573 1.76918 -9.32191 -0.07904 0.0002528243 -1.30220 30.010 0.001389 805.882 286.983 0.00007405381 0.00024819356 0.0000819077 0.0001041880 209110.680 196205.120 202693.040 1.82614 -9.62481 -0.07907 0.0002524437 -1.38363 31.003 0.001435 805.867 287.087 0.00007357230 0.00024866987 0.0000813788 0.0001043247 209097.324 196395.196 202705.161 1.88267 -9.92604 -0.07892 0.0002520516 -1.46734 32.018 0.001482 805.866 287.199 0.00007308147 0.00024914888 0.0000808361 0.0001044549 209096.640 196604.946 202732.720 1.93999 -10.23203 -0.07859 0.0002516390 -1.55519 33.012 0.001528 805.880 287.314 0.00007260229 0.00024961010 0.0000803027 0.0001045730 209108.696 196825.425 202774.583 1.99561 -10.52970 -0.07807 0.0002512238 -1.64343 34.006 0.001574 805.907 287.435 0.00007212441 0.00025006369 0.0000797674 0.0001046818 209133.381 197060.914 202831.221 2.05077 -10.82552 -0.07738 0.0002507973 -1.73390 35.021 0.001621 805.949 287.564 0.00007163758 0.00025051913 0.0000792186 0.0001047834 209171.695 197317.008 202904.398 2.10661 -11.12580 -0.07649 0.0002503501 -1.82860 36.014 0.001667 806.004 287.696 0.00007116260 0.00025095693 0.0000786798 0.0001048734 209222.056 197582.791 202991.052 2.16075 -11.41769 -0.07543 0.0002499013 -1.92350 37.008 0.001713 806.073 287.833 0.00007068921 0.00025138676 0.0000781396 0.0001049541 209285.195 197863.531 203092.632 2.21435 -11.70754 -0.07418 0.0002494416 -2.02056 38.002 0.001759 806.156 287.976 0.00007021748 0.00025180848 0.0000775980 0.0001050253 209361.173 198159.210 203209.195 2.26740 -11.99528 -0.07276 0.0002489713 -2.11977 39.017 0.001806 806.256 288.127 0.00006973734 0.00025223088 0.0000770434 0.0001050884 209452.126 198476.728 203343.833 2.32102 -12.28704 -0.07111 0.0002484798 -2.22334 40.010 0.001852 806.368 288.281 0.00006926929 0.00025263584 0.0000764997 0.0001051406 209554.254 198802.555 203490.882 2.37289 -12.57034 -0.06931 0.0002479883 -2.32683 41.004 0.001898 806.494 288.440 0.00006880322 0.00025303233 0.0000759551 0.0001051834 209669.426 199143.264 203653.115 2.42416 -12.85133 -0.06733 0.0002474865 -2.43242 42.019 0.001945 806.638 288.608 0.00006832914 0.00025342854 0.0000753980 0.0001052174 209800.654 199506.731 203834.635 2.47590 -13.13598 -0.06511 0.0002469634 -2.54245 43.013 0.001991 806.794 288.777 0.00006786734 0.00025380748 0.0000748523 0.0001052411 209942.441 199877.467 204027.798 2.52588 -13.41212 -0.06274 0.0002464413 -2.65221 44.006 0.002037 806.963 288.952 0.00006740781 0.00025417753 0.0000743062 0.0001052553 210097.526 200263.023 204236.386 2.57519 -13.68574 -0.06019 0.0002459095 -2.76401 45.000 0.002083 807.148 289.132 0.00006695065 0.00025453856 0.0000737600 0.0001052600 210266.005 200663.373 204460.487 2.62381 -13.95679 -0.05745 0.0002453680 -2.87782 46.015 0.002130 807.351 289.321 0.00006648611 0.00025489797 0.0000732019 0.0001052551 210452.086 201087.680 204705.583 2.67276 -14.23099 -0.05445 0.0002448049 -2.99617 47.009 0.002176 807.565 289.512 0.00006603406 0.00025524031 0.0000726558 0.0001052406 210647.962 201517.862 204961.347 2.71994 -14.49661 -0.05132 0.0002442444 -3.11400 48.002 0.002222 807.794 289.707 0.00006558468 0.00025557319 0.0000721101 0.0001052168 210857.562 201962.754 205232.930 2.76636 -14.75944 -0.04800 0.0002436748 -3.23379 49.018 0.002269 808.044 289.912 0.00006512842 0.00025590336 0.0000715530 0.0001051826 211086.021 202432.480 205526.873 2.81300 -15.02501 -0.04440 0.0002430836 -3.35819 50.011 0.002315 808.303 290.118 0.00006468479 0.00025621662 0.0000710084 0.0001051396 211323.750 202907.013 205830.790 2.85785 -15.28196 -0.04069 0.0002424960 -3.48187 51.005 0.002361 808.577 290.328 0.00006424417 0.00025651993 0.0000704647 0.0001050872 211575.598 203396.151 206150.889 2.90189 -15.53588 -0.03677 0.0002418999 -3.60745 52.020 0.002408 808.873 290.549 0.00006379719 0.00025681939 0.0000699102 0.0001050239 211847.657 203910.963 206494.799 2.94604 -15.79213 -0.03256 0.0002412820 -3.73770 53.014 0.002454 809.179 290.769 0.00006336297 0.00025710208 0.0000693686 0.0001049524 212128.509 204429.493 206848.031 2.98838 -16.03970 -0.02824 0.0002406690 -3.86705 54.007 0.002500 809.500 290.995 0.00006293210 0.00025737431 0.0000688284 0.0001048716 212423.952 204962.487 207217.874 3.02985 -16.28401 -0.02372 0.0002400479 -3.99823 55.001 0.002546 809.837 291.225 0.00006250468 0.00025763589 0.0000682896 0.0001047814 212734.162 205509.887 207604.488 3.07043 -16.52498 -0.01899 0.0002394190 -4.13123 56.016 0.002593 810.197 291.465 0.00006207165 0.00025789197 0.0000677408 0.0001046796 213066.560 206084.003 208017.006 3.11095 -16.76764 -0.01394 0.0002387684 -4.26897 57.010 0.002639 810.566 291.705 0.00006165156 0.00025813145 0.0000672056 0.0001045705 213407.204 206660.332 208438.056 3.14966 -17.00158 -0.00879 0.0002381241 -4.40557 58.003 0.002685 810.951 291.949 0.00006123527 0.00025835969 0.0000666723 0.0001044523 213763.210 207250.859 208876.423 3.18742 -17.23192 -0.00343 0.0002374726 -4.54391 59.018 0.002732 811.362 292.204 0.00006081399 0.00025858108 0.0000661296 0.0001043219 214143.054 207868.798 209342.418 3.22498 -17.46346 0.00227 0.0002367995 -4.68704 60.012 0.002778 811.780 292.458 0.00006040576 0.00025878598 0.0000656008 0.0001041849 214530.815 208487.757 209816.436 3.26073 -17.68624 0.00807 0.0002361337 -4.82885 61.006 0.002824 812.216 292.716 0.00006000170 0.00025897899 0.0000650744 0.0001040389 214934.654 209120.626 210308.435 3.29546 -17.90514 0.01409 0.0002354613 -4.97233 62.021 0.002871 812.678 292.984 0.00005959330 0.00025916367 0.0000645393 0.0001038802 215364.159 209781.494 210829.965 3.32987 -18.12468 0.02047 0.0002347676 -5.12065 63.014 0.002917 813.148 293.251 0.00005919807 0.00025933192 0.0000640184 0.0001037158 215801.348 210442.104 211359.114 3.36246 -18.33543 0.02694 0.0002340822 -5.26746 64.008 0.002963 813.635 293.522 0.00005880741 0.00025948753 0.0000635004 0.0001035424 216255.488 211116.217 211907.079 3.39396 -18.54199 0.03365 0.0002333908 -5.41588 65.002 0.003009 814.140 293.798 0.00005842144 0.00025963023 0.0000629855 0.0001033600 216726.914 211803.658 212474.191 3.42434 -18.74426 0.04058 0.0002326935 -5.56588 66.017 0.003056 814.675 294.084 0.00005803208 0.00025976239 0.0000624627 0.0001031645 217226.819 212519.604 213073.787 3.45420 -18.94637 0.04792 0.0002319752 -5.72075 67.010 0.003102 815.217 294.367 0.00005765605 0.00025987805 0.0000619546 0.0001029641 217734.333 213233.356 213680.774 3.48224 -19.13961 0.05534 0.0002312667 -5.87388 68.004 0.003148 815.778 294.655 0.00005728515 0.00025997982 0.0000614499 0.0001027550 218260.337 213959.731 214308.170 3.50908 -19.32818 0.06302 0.0002305530 -6.02852 69.019 0.003195 816.371 294.952 0.00005691167 0.00026006904 0.0000609381 0.0001025324 218817.383 214714.593 214970.863 3.53524 -19.51590 0.07112 0.0002298185 -6.18805 70.013 0.003241 816.971 295.247 0.00005655166 0.00026014144 0.0000604411 0.0001023057 219382.334 215465.405 215641.346 3.55957 -19.69461 0.07933 0.0002290948 -6.34566 71.006 0.003287 817.592 295.546 0.00005619731 0.00026019851 0.0000599481 0.0001020705 219967.492 216227.563 216334.368 3.58259 -19.86819 0.08780 0.0002283666 -6.50470 72.000 0.003333 818.234 295.847 0.00005584882 0.00026023952 0.0000594593 0.0001018267 220573.663 217000.308 217051.173 3.60427 -20.03642 0.09657 0.0002276340 -6.66515 73.015 0.003380 818.912 296.157 0.00005549908 0.00026026359 0.0000589642 0.0001015689 221215.847 217799.443 217810.378 3.62494 -20.20246 0.10586 0.0002268812 -6.83050 74.009 0.003426 819.600 296.462 0.00005516339 0.00026026674 0.0000584842 0.0001013082 221868.718 218587.555 218585.617 3.64357 -20.35855 0.11534 0.0002261404 -6.99370 75.002 0.003472 820.313 296.772 0.00005483442 0.00026025648 0.0000580088 0.0001010391 222546.456 219389.840 219376.437 3.66093 -20.50934 0.12498 0.0002253960 -7.15822 76.018 0.003519 821.063 297.095 0.00005450460 0.00026023545 0.0000575280 0.0001007558 223260.681 220228.272 220194.349 3.67756 -20.65875 0.13492 0.0002246318 -7.32765 77.011 0.003565 821.814 297.417 0.00005418751 0.00026020453 0.0000570623 0.0001004702 223977.951 221067.314 221005.625 3.69278 -20.80064 0.14476 0.0002238805 -7.49476 78.005 0.003611 822.580 297.745 0.00005387580 0.00026016341 0.0000566016 0.0001001767 224711.177 221924.757 221828.179 3.70698 -20.93836 0.15472 0.0002231263 -7.66309 79.020 0.003658 823.376 298.087 0.00005356271 0.00026011082 0.0000561363 0.0000998685 225475.338 222819.976 222680.654 3.72043 -21.07485 0.16504 0.0002223528 -7.83633 80.014 0.003704 824.168 298.427 0.00005326149 0.00026004898 0.0000556862 0.0000995590 226236.917 223714.980 223527.005 3.73258 -21.20431 0.17528 0.0002215932 -8.00706 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0.00017264778 0.0001001832 0.0000566117 286868.711 274746.767 286726.046 2.97437 21.06360 4.78454 0.0002231428 -5.26687 283.010 0.013102 880.634 313.305 0.00011349026 0.00017332607 0.0001004766 0.0000570724 285477.091 273078.256 285290.986 3.00745 20.92336 4.76698 0.0002238970 -5.05664 284.004 0.013148 879.417 312.712 0.00011341835 0.00017401146 0.0001007619 0.0000575382 284094.902 271423.511 283860.827 3.04090 20.77769 4.74949 0.0002246482 -4.84850 285.019 0.013195 878.177 312.110 0.00011333545 0.00017471876 0.0001010451 0.0000580192 282692.668 269747.424 282405.201 3.07547 20.62335 4.73168 0.0002254123 -4.63805 286.013 0.013241 876.969 311.525 0.00011324521 0.00017541753 0.0001013140 0.0000584947 281330.305 268121.715 280986.567 3.10970 20.46699 4.71433 0.0002261567 -4.43429 287.006 0.013287 875.765 310.946 0.00011314605 0.00017612246 0.0001015745 0.0000589748 279978.106 266510.942 279574.376 3.14431 20.30549 4.69705 0.0002268973 -4.23276 288.000 0.013333 874.566 310.371 0.00011303808 0.00017683325 0.0001018267 0.0000594593 278636.296 264915.468 278169.081 3.17933 20.13895 4.67986 0.0002276341 -4.03351 289.015 0.013380 873.347 309.790 0.00011291876 0.00017756524 0.0001020757 0.0000599589 277276.268 263301.473 276740.811 3.21552 19.96368 4.66239 0.0002283826 -3.83232 290.009 0.013426 872.160 309.226 0.00011279328 0.00017828699 0.0001023108 0.0000604519 275956.106 261737.973 275350.761 3.25136 19.78722 4.64538 0.0002291107 -3.63778 291.002 0.013472 870.979 308.667 0.00011265929 0.00017901375 0.0001025372 0.0000609490 274646.952 260190.768 273968.856 3.28761 19.60601 4.62848 0.0002298343 -3.44565 292.018 0.013519 869.778 308.102 0.00011251372 0.00017976122 0.0001027597 0.0000614609 273320.902 258627.066 272565.710 3.32509 19.41603 4.61131 0.0002305686 -3.25185 293.011 0.013565 868.609 307.556 0.00011236287 0.00018049730 0.0001029686 0.0000619656 272034.564 257113.689 271201.397 3.36221 19.22547 4.59462 0.0002312823 -3.06466 294.005 0.013611 867.447 307.015 0.00011220382 0.00018123762 0.0001031687 0.0000624739 270759.770 255617.445 269846.312 3.39976 19.03042 4.57805 0.0002319907 -2.87998 295.020 0.013658 866.266 306.468 0.00011203298 0.00018199814 0.0001033641 0.0000629967 269469.354 254106.620 268471.639 3.43858 18.82659 4.56123 0.0002327088 -2.69390 296.014 0.013704 865.118 305.939 0.00011185771 0.00018274626 0.0001035463 0.0000635117 268218.380 252645.733 267136.193 3.47703 18.62274 4.54489 0.0002334060 -2.51437 297.007 0.013750 863.977 305.417 0.00011167458 0.00018349788 0.0001037195 0.0000640298 266979.408 251202.655 265810.919 3.51592 18.41467 4.52868 0.0002340973 -2.33743 298.001 0.013796 862.843 304.901 0.00011148370 0.00018425276 0.0001038837 0.0000645508 265752.575 249777.577 264496.104 3.55527 18.20248 4.51260 0.0002347825 -2.16312 299.016 0.013843 861.693 304.380 0.00011128077 0.00018502720 0.0001040422 0.0000650859 264511.742 248340.290 263163.791 3.59594 17.98149 4.49630 0.0002354761 -1.98775 300.010 0.013889 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0.014167 853.996 300.982 0.00010967391 0.00019043407 0.0001048734 0.0000688402 256315.812 238960.156 254305.092 3.88957 16.35058 4.38793 0.0002400616 -0.85617 307.008 0.014213 852.938 300.528 0.00010941765 0.00019120892 0.0001049541 0.0000693804 255204.007 237704.408 253096.124 3.93316 16.10481 4.37314 0.0002406825 -0.70672 308.002 0.014259 851.890 300.080 0.00010915472 0.00019198500 0.0001050253 0.0000699220 254105.321 236467.772 251899.850 3.97723 15.85575 4.35851 0.0002412954 -0.56010 309.017 0.014306 850.828 299.630 0.00010887931 0.00019277902 0.0001050884 0.0000704766 252996.367 235224.038 250690.856 4.02274 15.59797 4.34372 0.0002419130 -0.41324 310.010 0.014352 849.799 299.196 0.00010860323 0.00019355702 0.0001051406 0.0000710203 251924.395 234026.163 249520.748 4.06777 15.34250 4.32940 0.0002425090 -0.27241 311.004 0.014398 848.779 298.770 0.00010832082 0.00019433572 0.0001051834 0.0000715649 250865.719 232847.502 248363.811 4.11328 15.08398 4.31525 0.0002430963 -0.13446 312.019 0.014445 847.748 298.342 0.00010802582 0.00019513188 0.0001052174 0.0000721220 249797.813 231663.079 247195.473 4.16026 14.81677 4.30096 0.0002436874 0.00350 313.013 0.014491 846.748 297.930 0.00010773091 0.00019591147 0.0001052411 0.0000726677 248766.164 230523.300 246065.587 4.20673 14.55231 4.28714 0.0002442568 0.13559 314.006 0.014537 845.759 297.526 0.00010742997 0.00019669125 0.0001052553 0.0000732138 247747.945 229402.756 244949.272 4.25367 14.28503 4.27348 0.0002448171 0.26476 315.000 0.014583 844.780 297.129 0.00010712313 0.00019747108 0.0001052600 0.0000737600 246743.190 228301.437 243846.647 4.30107 14.01501 4.25999 0.0002453681 0.39101 316.015 0.014630 843.790 296.730 0.00010680361 0.00019826775 0.0001052551 0.0000743181 245730.531 227196.019 242734.305 4.35000 13.73635 4.24638 0.0002459212 0.51697 317.009 0.014676 842.832 296.347 0.00010648513 0.00019904720 0.0001052406 0.0000748642 244753.088 226133.517 241659.686 4.39835 13.46099 4.23324 0.0002464529 0.63728 318.002 0.014722 841.884 295.972 0.00010616105 0.00019982624 0.0001052168 0.0000754099 243789.190 225090.175 240599.067 4.44716 13.18311 4.22026 0.0002469747 0.75464 319.018 0.014769 840.927 295.596 0.00010582425 0.00020062164 0.0001051826 0.0000759670 242818.348 224043.907 239529.945 4.49752 12.89664 4.20719 0.0002474976 0.87150 320.011 0.014815 840.001 295.235 0.00010548917 0.00020139943 0.0001051396 0.0000765116 241881.890 223039.196 238497.899 4.54726 12.61387 4.19456 0.0002479992 0.98288 321.005 0.014861 839.086 294.882 0.00010514881 0.00020217638 0.0001050872 0.0000770553 240959.025 222053.528 237480.106 4.59745 12.32878 4.18211 0.0002484905 1.09130 322.020 0.014908 838.163 294.528 0.00010479569 0.00020296923 0.0001050239 0.0000776098 240030.146 221066.053 236454.982 4.64920 12.03517 4.16957 0.0002489817 1.19901 323.014 0.014954 837.270 294.189 0.00010444496 0.00020374410 0.0001049524 0.0000781514 239134.785 220118.737 235466.217 4.70030 11.74562 4.15747 0.0002494518 1.30142 324.007 0.015000 836.389 293.858 0.00010408925 0.00020451775 0.0001048716 0.0000786916 238253.035 219190.308 234491.904 4.75183 11.45396 4.14555 0.0002499112 1.40086 325.001 0.015046 835.519 293.533 0.00010372866 0.00020529006 0.0001047814 0.0000792304 237384.895 218280.707 233532.098 4.80380 11.16026 4.13381 0.0002503598 1.49732 326.016 0.015093 834.642 293.209 0.00010335530 0.00020607763 0.0001046796 0.0000797792 236511.936 217370.714 232566.462 4.85733 10.85814 4.12200 0.0002508067 1.59281 327.010 0.015139 833.795 292.899 0.00010298516 0.00020684684 0.0001045705 0.0000803144 235671.301 216498.984 231636.134 4.91016 10.56052 4.11062 0.0002512330 1.68325 328.003 0.015185 832.960 292.597 0.00010261045 0.00020761434 0.0001044523 0.0000808477 234844.260 215645.886 230720.452 4.96340 10.26106 4.09942 0.0002516480 1.77072 329.018 0.015232 832.119 292.295 0.00010222297 0.00020839665 0.0001043219 0.0000813904 234013.271 214793.413 229800.027 5.01822 9.95325 4.08816 0.0002520603 1.85702 330.012 0.015278 831.307 292.007 0.00010183931 0.00020916035 0.0001041849 0.0000819192 233213.683 213977.766 228914.061 5.07228 9.65027 4.07732 0.0002524522 1.93847 331.006 0.015324 830.508 291.726 0.00010145137 0.00020992201 0.0001040389 0.0000824456 232427.652 213180.534 228042.839 5.12674 9.34564 4.06666 0.0002528325 2.01696 332.021 0.015371 829.703 291.446 0.00010105068 0.00021069800 0.0001038802 0.0000829807 231638.520 212384.910 227167.930 5.18278 9.03275 4.05596 0.0002532089 2.09408 333.014 0.015417 828.927 291.180 0.00010065438 0.00021145519 0.0001037158 0.0000835016 230879.849 211624.674 226326.588 5.23801 8.72497 4.04567 0.0002535654 2.16656 334.008 0.015463 828.164 290.920 0.00010025410 0.00021221002 0.0001035424 0.0000840196 230134.682 210882.620 225500.054 5.29362 8.41574 4.03556 0.0002539100 2.23608 335.002 0.015509 827.412 290.668 0.00009984993 0.00021296239 0.0001033600 0.0000845345 229402.998 210158.669 224688.344 5.34959 8.10511 4.02563 0.0002542425 2.30264 336.017 0.015556 826.657 290.417 0.00009943305 0.00021372845 0.0001031645 0.0000850573 228669.310 209437.596 223874.309 5.40714 7.78634 4.01567 0.0002545697 2.36759 337.010 0.015602 825.930 290.179 0.00009902129 0.00021447553 0.0001029641 0.0000855654 227964.814 208750.003 223092.600 5.46382 7.47306 4.00611 0.0002548776 2.42818 338.004 0.015648 825.216 289.947 0.00009860592 0.00021521985 0.0001027550 0.0000860701 227273.729 208080.272 222325.741 5.52084 7.15856 3.99672 0.0002551731 2.48582 339.019 0.015695 824.498 289.718 0.00009817790 0.00021597739 0.0001025324 0.0000865819 226581.444 207414.346 221557.553 5.57943 6.83602 3.98733 0.0002554623 2.54169 340.013 0.015741 823.809 289.501 0.00009775552 0.00021671584 0.0001023057 0.0000870789 225917.390 206780.482 220820.727 5.63711 6.51923 3.97831 0.0002557326 2.59340 341.006 0.015787 823.131 289.291 0.00009732981 0.00021745125 0.0001020704 0.0000875719 225266.664 206164.235 220098.754 5.69509 6.20140 3.96948 0.0002559904 2.64218 342.000 0.015833 822.467 289.087 0.00009690086 0.00021818352 0.0001018267 0.0000880607 224629.236 205565.527 219391.633 5.75337 5.88258 3.96083 0.0002562354 2.68805 343.015 0.015880 821.801 288.886 0.00009645934 0.00021892838 0.0001015689 0.0000885558 223991.656 204971.835 218684.474 5.81322 5.55586 3.95218 0.0002564727 2.73191 344.009 0.015926 821.161 288.697 0.00009602412 0.00021965406 0.0001013082 0.0000890358 223381.022 204408.340 218007.363 5.87207 5.23522 3.94390 0.0002566919 2.77190 345.002 0.015972 820.535 288.514 0.00009558593 0.00022037633 0.0001010391 0.0000895112 222783.594 203862.143 217345.083 5.93119 4.91375 3.93580 0.0002568983 2.80899 346.018 0.016019 819.907 288.334 0.00009513525 0.00022111071 0.0001007558 0.0000899920 222186.786 203321.857 216683.715 5.99187 4.58451 3.92771 0.0002570958 2.84391 347.011 0.016065 819.306 288.165 0.00009469134 0.00022182586 0.0001004702 0.0000904577 221615.960 202810.393 216051.390 6.05150 4.26157 3.91997 0.0002572760 2.87518 348.005 0.016111 818.718 288.003 0.00009424473 0.00022253736 0.0001001767 0.0000909184 221058.242 202315.993 215433.864 6.11136 3.93796 3.91242 0.0002574431 2.90358 349.020 0.016158 818.130 287.844 0.00009378572 0.00022326048 0.0000998685 0.0000913837 220501.906 201828.390 214818.185 6.17276 3.60671 3.90488 0.0002576003 2.92964 350.014 0.016204 817.567 287.695 0.00009333393 0.00022396435 0.0000995590 0.0000918338 219970.590 201368.256 214230.537 6.23306 3.28196 3.89770 0.0002577408 2.95227 351.007 0.016250 817.018 287.553 0.00009287970 0.00022466432 0.0000992417 0.0000922785 219452.284 200924.961 213657.645 6.29357 2.95671 3.89069 0.0002578682 2.97206 352.001 0.016296 816.481 287.418 0.00009242313 0.00022536031 0.0000989167 0.0000927176 218946.955 200498.430 213099.493 6.35426 2.63104 3.88386 0.0002579823 2.98903 353.016 0.016343 815.946 287.286 0.00009195430 0.00022606725 0.0000985769 0.0000931603 218444.008 200079.868 212544.414 6.41645 2.29788 3.87707 0.0002580852 3.00345 354.010 0.016389 815.435 287.164 0.00009149325 0.00022675496 0.0000982367 0.0000935877 217964.813 199687.015 212016.013 6.47748 1.97149 3.87060 0.0002581725 3.01472 355.003 0.016435 814.937 287.048 0.00009103011 0.00022743846 0.0000978892 0.0000940092 217498.496 199310.715 211502.301 6.53865 1.64481 3.86432 0.0002582464 3.02320 356.018 0.016482 814.442 286.937 0.00009055484 0.00022813238 0.0000975267 0.0000944335 217035.308 198943.262 210992.576 6.60130 1.31081 3.85809 0.0002583082 3.02899 357.012 0.016528 813.971 286.835 0.00009008775 0.00022880712 0.0000971646 0.0000948425 216594.927 198600.225 210508.509 6.66274 0.98374 3.85216 0.0002583552 3.03185 358.006 0.016574 813.512 286.739 0.00008961882 0.00022947741 0.0000967955 0.0000952452 216167.328 198273.542 210039.079 6.72429 0.65655 3.84642 0.0002583888 3.03195 359.021 0.016621 813.057 286.647 0.00008913791 0.00023015759 0.0000964112 0.0000956500 215743.602 197956.583 209574.544 6.78728 0.32219 3.84074 0.0002584092 3.02921 360.014 0.016667 812.625 286.564 0.00008866555 0.00023081864 0.0000960282 0.0000960395 215341.749 197662.773 209134.653 6.84901 -0.00508 3.83536 0.0002584157 3.02376 Engine speed (Hz) = 60.0000000000 Output power (W) = 181.4168594475 Heat into heater (W) = 410.9404249385 Heat to regenerator (W) = -0.3046985402 Heat removal from cooler (W) = 230.1214161981 Approximate Pumping loss (W) = -139.1966075821 Thermal efficiency (%) = 44.1467542344 The average engine pressure (Pa) = 273909.1940846288 The exp space work per cycle (J) = 6.8490514737 The comp space work per cycle (J) = -3.8254371496 The net work per cycle (J) = 3.0236143241 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.6131619314 The expansion work for Vmin-to-Vmax (J) = 25.6367762556 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.020 0.000001 813.322 286.623 0.00008876219 0.00023062144 0.0000960261 0.0000960416 215766.116 197530.107 209369.077 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000046 812.907 286.547 0.00008829072 0.00023127492 0.0000956385 0.0000964223 215379.756 197255.596 208944.780 0.06117 -0.32561 -0.00519 0.0002584088 -0.00835 2.018 0.000092 812.496 286.476 0.00008780722 0.00023193809 0.0000952356 0.0000968045 214997.666 196991.493 208525.915 0.12376 -0.65839 -0.01031 0.0002583881 -0.01965 3.006 0.000137 812.106 286.413 0.00008733279 0.00023258207 0.0000948350 0.0000971714 214636.430 196749.222 208130.676 0.18503 -0.98382 -0.01515 0.0002583544 -0.03342 4.017 0.000183 811.721 286.356 0.00008684643 0.00023323538 0.0000944190 0.0000975393 214279.963 196517.959 207741.482 0.24769 -1.31631 -0.01991 0.0002583063 -0.05023 5.005 0.000228 811.358 286.305 0.00008636937 0.00023386954 0.0000940058 0.0000978921 213943.737 196307.705 207375.240 0.30900 -1.64135 -0.02439 0.0002582459 -0.06935 6.015 0.000274 811.000 286.260 0.00008588050 0.00023451265 0.0000935772 0.0000982453 213612.782 196109.061 207015.656 0.37168 -1.97333 -0.02879 0.0002581705 -0.09162 7.003 0.000319 810.663 286.223 0.00008540115 0.00023513669 0.0000931520 0.0000985834 213301.460 195930.613 206678.352 0.43298 -2.29776 -0.03292 0.0002580834 -0.11605 8.013 0.000365 810.332 286.190 0.00008491012 0.00023576929 0.0000927113 0.0000989214 212995.912 195764.380 206348.324 0.49561 -2.62903 -0.03695 0.0002579808 -0.14371 9.001 0.000410 810.021 286.165 0.00008442882 0.00023638289 0.0000922746 0.0000992445 212709.400 195617.542 206039.909 0.55683 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0.92777 -4.91102 -0.05993 0.0002568941 -0.40920 16.007 0.000729 808.190 286.159 0.00008099774 0.00024057649 0.0000890283 0.0001013123 211028.118 195020.415 204262.276 0.98824 -5.23016 -0.06247 0.0002566886 -0.45683 17.017 0.000775 807.980 286.183 0.00008050125 0.00024115762 0.0000885401 0.0001015772 210836.067 194997.993 204064.974 1.04988 -5.55551 -0.06489 0.0002564654 -0.50808 18.005 0.000820 807.788 286.212 0.00008001538 0.00024172011 0.0000880582 0.0001018280 210660.450 194991.483 203886.355 1.10999 -5.87289 -0.06707 0.0002562342 -0.56069 19.015 0.000866 807.605 286.248 0.00007951864 0.00024228886 0.0000875611 0.0001020757 210493.456 195000.564 203718.486 1.17123 -6.19633 -0.06912 0.0002559849 -0.61700 20.003 0.000911 807.440 286.289 0.00007903270 0.00024283907 0.0000870707 0.0001023095 210342.343 195024.809 203568.669 1.23092 -6.51172 -0.07096 0.0002557283 -0.67454 21.014 0.000957 807.285 286.338 0.00007853606 0.00024339508 0.0000865654 0.0001025397 210200.393 195065.267 203430.255 1.29169 -6.83302 -0.07265 0.0002554531 -0.73585 22.002 0.001002 807.146 286.391 0.00007805040 0.00024393264 0.0000860671 0.0001027563 210073.781 195120.151 203309.270 1.35088 -7.14621 -0.07413 0.0002551714 -0.79825 23.012 0.001048 807.018 286.451 0.00007755422 0.00024447554 0.0000855540 0.0001029688 209956.882 195191.872 203200.350 1.41111 -7.46515 -0.07546 0.0002548708 -0.86450 24.000 0.001093 806.906 286.515 0.00007706919 0.00024500008 0.0000850485 0.0001031678 209854.787 195277.286 203108.245 1.46974 -7.77592 -0.07659 0.0002545643 -0.93169 25.010 0.001139 806.805 286.587 0.00007657383 0.00024552948 0.0000845283 0.0001033623 209762.969 195380.164 203028.878 1.52936 -8.09227 -0.07756 0.0002542386 -1.00280 26.020 0.001185 806.718 286.665 0.00007607903 0.00024605190 0.0000840047 0.0001035475 209683.845 195498.756 202964.479 1.58864 -8.40721 -0.07835 0.0002539003 -1.07635 27.009 0.001230 806.647 286.747 0.00007559562 0.00024655613 0.0000834895 0.0001037198 209618.743 195629.951 202915.984 1.64629 -8.71390 -0.07894 0.0002535573 -1.15063 28.019 0.001276 806.587 286.837 0.00007510219 0.00024706445 0.0000829598 0.0001038866 209564.787 195779.558 202881.265 1.70486 -9.02590 -0.07937 0.0002531944 -1.22894 29.007 0.001321 806.543 286.930 0.00007462029 0.00024755467 0.0000824388 0.0001040408 209524.345 195941.053 202861.857 1.76177 -9.32959 -0.07960 0.0002528277 -1.30785 30.017 0.001367 806.511 287.031 0.00007412860 0.00024804847 0.0000819036 0.0001041891 209495.646 196121.591 202856.929 1.81955 -9.63840 -0.07966 0.0002524408 -1.39086 31.005 0.001412 806.494 287.136 0.00007364860 0.00024852427 0.0000813776 0.0001043250 209479.967 196313.304 202866.730 1.87565 -9.93885 -0.07954 0.0002520507 -1.47433 32.016 0.001458 806.490 287.249 0.00007315903 0.00024900312 0.0000808376 0.0001044546 209476.644 196524.692 202891.732 1.93256 -10.24423 -0.07924 0.0002516402 -1.56196 33.004 0.001503 806.500 287.364 0.00007268128 0.00024946407 0.0000803072 0.0001045721 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307.052 0.00011223843 0.00018112225 0.0001031718 0.0000624819 270962.624 255453.115 270034.575 3.38752 18.99334 4.60313 0.0002320017 -2.92434 295.008 0.013434 866.709 306.518 0.00011207350 0.00018186035 0.0001033619 0.0000629908 269710.341 253979.878 268698.420 3.42512 18.79592 4.58679 0.0002327007 -2.74324 296.019 0.013480 865.546 305.979 0.00011189675 0.00018261868 0.0001035472 0.0000635143 268442.361 252492.011 267342.592 3.46400 18.58971 4.57020 0.0002334095 -2.56074 297.007 0.013525 864.415 305.459 0.00011171599 0.00018336407 0.0001037195 0.0000640296 267213.956 251054.408 266026.340 3.50249 18.38376 4.55410 0.0002340971 -2.38481 298.017 0.013571 863.266 304.933 0.00011152328 0.00018412938 0.0001038863 0.0000645593 265970.666 249603.371 264691.460 3.54228 18.16902 4.53777 0.0002347936 -2.20765 299.005 0.013616 862.150 304.425 0.00011132712 0.00018488112 0.0001040405 0.0000650802 264766.673 248202.160 263396.265 3.58167 17.95489 4.52193 0.0002354688 -2.03700 300.015 0.013662 861.018 303.912 0.00011111889 0.00018565249 0.0001041889 0.0000656154 263548.590 246788.663 262083.460 3.62240 17.73195 4.50587 0.0002361523 -1.86530 301.004 0.013707 859.918 303.418 0.00011090776 0.00018640972 0.0001043248 0.0000661414 262369.487 245424.476 260810.375 3.66270 17.50999 4.49029 0.0002368142 -1.70003 302.014 0.013753 858.802 302.919 0.00011068445 0.00018718626 0.0001044544 0.0000666814 261177.067 244049.101 259520.673 3.70437 17.27922 4.47452 0.0002374838 -1.53387 303.002 0.013798 857.719 302.438 0.00011045879 0.00018794813 0.0001045719 0.0000672119 260023.273 242722.450 258270.656 3.74560 17.04976 4.45923 0.0002381317 -1.37408 304.012 0.013844 856.620 301.953 0.00011022084 0.00018872899 0.0001046825 0.0000677561 258856.918 241385.665 257004.991 3.78822 16.81149 4.44374 0.0002387866 -1.21357 305.000 0.013889 855.554 301.486 0.00010998106 0.00018949470 0.0001047815 0.0000682903 257728.800 240096.952 255778.912 3.83038 16.57487 4.42874 0.0002394198 -1.05934 306.010 0.013935 854.474 301.015 0.00010972892 0.00019027909 0.0001048731 0.0000688380 256588.861 238799.114 254538.130 3.87397 16.32944 4.41356 0.0002400591 -0.90455 307.021 0.013981 853.403 300.552 0.00010946976 0.00019106497 0.0001049550 0.0000693873 255462.392 237521.069 253310.223 3.91804 16.08053 4.39854 0.0002406903 -0.75269 308.009 0.014026 852.364 300.106 0.00010920956 0.00019183502 0.0001050258 0.0000699260 254373.514 236290.013 252121.645 3.96162 15.83372 4.38400 0.0002412998 -0.60696 309.019 0.014072 851.312 299.657 0.00010893687 0.00019262328 0.0001050885 0.0000704778 253273.896 235051.274 250919.743 4.00666 15.57814 4.36930 0.0002419143 -0.46093 310.007 0.014117 850.293 299.225 0.00010866364 0.00019339530 0.0001051405 0.0000710186 252211.404 233858.744 249756.933 4.05119 15.32498 4.35508 0.0002425071 -0.32093 311.017 0.014163 849.260 298.791 0.00010837785 0.00019418522 0.0001051839 0.0000715722 251138.870 232659.443 248581.688 4.09720 15.06305 4.34070 0.0002431042 -0.18078 312.006 0.014208 848.260 298.373 0.00010809203 0.00019495853 0.0001052170 0.0000721145 250102.973 231505.528 247445.248 4.14267 14.80384 4.32680 0.0002436795 -0.04657 313.016 0.014254 847.248 297.954 0.00010779357 0.00019574944 0.0001052411 0.0000726693 249057.717 230345.721 246297.243 4.18964 14.53588 4.31275 0.0002442585 0.08765 314.004 0.014299 846.268 297.551 0.00010749557 0.00019652338 0.0001052552 0.0000732124 248048.584 229230.445 245187.710 4.23605 14.27092 4.29918 0.0002448157 0.21603 315.014 0.014345 845.277 297.146 0.00010718488 0.00019731461 0.0001052600 0.0000737678 247030.760 228110.121 244067.460 4.28398 13.99724 4.28548 0.0002453758 0.34427 316.002 0.014390 844.317 296.758 0.00010687512 0.00019808856 0.0001052552 0.0000743110 246048.527 227033.443 242985.310 4.33133 13.72683 4.27224 0.0002459142 0.46678 317.012 0.014436 843.347 296.368 0.00010655264 0.00019887949 0.0001052406 0.0000748662 245058.255 225952.534 241893.271 4.38020 13.44774 4.25888 0.0002464548 0.58901 318.001 0.014481 842.409 295.994 0.00010623154 0.00019965285 0.0001052168 0.0000754090 244103.022 224914.360 240838.920 4.42847 13.17217 4.24598 0.0002469738 0.70563 319.011 0.014527 841.460 295.619 0.00010589768 0.00020044288 0.0001051829 0.0000759633 243140.391 223872.746 239775.491 4.47828 12.88795 4.23297 0.0002474941 0.82181 320.021 0.014573 840.523 295.252 0.00010555823 0.00020123224 0.0001051391 0.0000765169 242191.756 222850.934 238726.659 4.52857 12.60125 4.22014 0.0002480040 0.93493 321.009 0.014618 839.617 294.900 0.00010522085 0.00020200365 0.0001050869 0.0000770577 241277.298 221870.452 237714.831 4.57820 12.31845 4.20776 0.0002484926 1.04263 322.019 0.014664 838.702 294.547 0.00010487066 0.00020279126 0.0001050239 0.0000776094 240356.381 220887.672 236695.111 4.62940 12.02706 4.19529 0.0002489814 1.14968 323.007 0.014709 837.819 294.210 0.00010452298 0.00020356069 0.0001049529 0.0000781481 239469.049 219945.270 235711.902 4.67992 11.73981 4.18326 0.0002494489 1.25142 324.018 0.014755 836.927 293.872 0.00010416246 0.00020434602 0.0001048707 0.0000786973 238575.868 219001.303 234721.569 4.73202 11.44401 4.17115 0.0002499160 1.35239 325.006 0.014800 836.065 293.549 0.00010380488 0.00020511298 0.0001047809 0.0000792331 237715.670 218096.751 233767.225 4.78341 11.15258 4.15947 0.0002503620 1.44818 326.016 0.014846 835.196 293.226 0.00010343445 0.00020589552 0.0001046796 0.0000797792 236850.220 217191.347 232806.507 4.83638 10.85264 4.14772 0.0002508067 1.54306 327.004 0.014891 834.358 292.918 0.00010306737 0.00020665950 0.0001045712 0.0000803115 236017.140 216324.390 231881.234 4.88862 10.55729 4.13640 0.0002512307 1.63289 328.014 0.014937 833.513 292.610 0.00010268743 0.00020743876 0.0001044509 0.0000808537 235179.394 215457.276 230950.323 4.94244 10.25348 4.12501 0.0002516526 1.72167 329.003 0.014982 832.697 292.316 0.00010231125 0.00020819930 0.0001043240 0.0000813819 234373.396 214627.636 230054.288 4.99550 9.95448 4.11405 0.0002520539 1.80554 330.013 0.015028 831.876 292.023 0.00010192221 0.00020897481 0.0001041848 0.0000819196 233563.310 213798.520 229153.339 5.05015 9.64707 4.10303 0.0002524525 1.88823 331.001 0.015073 831.084 291.743 0.00010153731 0.00020973147 0.0001040396 0.0000824431 232784.341 213005.902 228286.676 5.10400 9.34467 4.09243 0.0002528307 1.96615 332.011 0.015119 830.286 291.464 0.00010113957 0.00021050278 0.0001038818 0.0000829756 232001.851 212214.476 227415.808 5.15945 9.03391 4.08178 0.0002532054 2.04276 333.021 0.015165 829.501 291.193 0.00010073756 0.00021127181 0.0001037147 0.0000835052 231233.282 211441.980 226560.183 5.21529 8.72155 4.07131 0.0002535679 2.11630 334.009 0.015210 828.745 290.935 0.00010034029 0.00021202180 0.0001035421 0.0000840203 230494.870 210704.516 225737.925 5.27029 8.41450 4.06125 0.0002539105 2.18528 335.020 0.015256 827.985 290.678 0.00009993017 0.00021278599 0.0001033566 0.0000845438 229753.774 209969.225 224912.507 5.32688 8.09918 4.05115 0.0002542484 2.25276 336.008 0.015301 827.253 290.434 0.00009952514 0.00021353104 0.0001031662 0.0000850526 229042.193 209267.996 224119.828 5.38260 7.78935 4.04146 0.0002545669 2.31581 337.018 0.015347 826.517 290.192 0.00009910729 0.00021428998 0.0001029626 0.0000855693 228328.474 208569.579 223324.668 5.43991 7.47130 4.03173 0.0002548799 2.37725 338.006 0.015392 825.810 289.962 0.00009869489 0.00021502971 0.0001027546 0.0000860712 227643.623 207904.260 222561.606 5.49631 7.15892 4.02239 0.0002551738 2.43440 339.016 0.015438 825.099 289.734 0.00009826969 0.00021578300 0.0001025330 0.0000865804 226957.172 207242.383 221796.732 5.55430 6.83840 4.01304 0.0002554615 2.48982 340.005 0.015483 824.416 289.518 0.00009785028 0.00021651702 0.0001023076 0.0000870748 226298.940 206612.644 221063.304 5.61135 6.52371 4.00406 0.0002557304 2.54110 341.015 0.015529 823.731 289.304 0.00009741812 0.00021726429 0.0001020685 0.0000875760 225639.642 205986.972 220328.724 5.66998 6.20094 3.99508 0.0002559925 2.59052 342.003 0.015574 823.073 289.102 0.00009699207 0.00021799223 0.0001018260 0.0000880621 225007.911 205392.488 219624.928 5.72764 5.88417 3.98647 0.0002562361 2.63595 343.013 0.015620 822.413 288.902 0.00009655331 0.00021873311 0.0001015695 0.0000885547 224375.639 204802.686 218920.632 5.78688 5.55939 3.97785 0.0002564722 2.67941 344.001 0.015665 821.779 288.714 0.00009612099 0.00021945462 0.0001013102 0.0000890321 223770.285 204243.130 218246.451 5.84510 5.24077 3.96961 0.0002566903 2.71901 345.011 0.015711 821.145 288.528 0.00009567600 0.00022018874 0.0001010366 0.0000895155 223164.909 203688.869 217572.413 5.90490 4.91421 3.96136 0.0002569001 2.75654 346.022 0.015757 820.524 288.350 0.00009522800 0.00022091932 0.0001007546 0.0000899939 222573.079 203152.449 216913.658 5.96496 4.58684 3.95330 0.0002570966 2.79108 347.010 0.015802 819.928 288.182 0.00009478692 0.00022163050 0.0001004706 0.0000904570 222007.188 202644.875 216283.999 6.02397 4.26585 3.94560 0.0002572757 2.82198 348.020 0.015848 819.333 288.017 0.00009433325 0.00022235380 0.0001001721 0.0000909253 221442.050 202143.509 215655.441 6.08453 3.93704 3.93791 0.0002574455 2.85064 349.008 0.015893 818.763 287.863 0.00009388679 0.00022305770 0.0000998722 0.0000913783 220902.204 201670.071 215055.299 6.14399 3.61476 3.93057 0.0002575985 2.87582 350.018 0.015939 818.193 287.712 0.00009342779 0.00022377339 0.0000995575 0.0000918359 220363.619 201203.444 214456.885 6.20500 3.28473 3.92325 0.0002577414 2.89864 351.006 0.015984 817.649 287.571 0.00009297631 0.00022446967 0.0000992419 0.0000922782 219849.680 200763.840 213886.203 6.26487 2.96136 3.91627 0.0002578681 2.91812 352.017 0.016030 817.105 287.434 0.00009251235 0.00022517742 0.0000989115 0.0000927245 219337.509 200331.646 213317.872 6.32628 2.63034 3.90931 0.0002579840 2.93514 353.005 0.016075 816.586 287.306 0.00009205619 0.00022586577 0.0000985807 0.0000931555 218849.340 199925.582 212776.588 6.38652 2.30610 3.90269 0.0002580842 2.94897 354.015 0.016121 816.069 287.182 0.00009158763 0.00022656524 0.0000982349 0.0000935900 218363.443 199527.526 212238.276 6.44827 1.97430 3.89611 0.0002581729 2.96023 355.003 0.016166 815.576 287.067 0.00009112714 0.00022724534 0.0000978892 0.0000940092 217900.908 199154.718 211726.323 6.50883 1.64941 3.88984 0.0002582464 2.96846 356.013 0.016212 815.085 286.957 0.00009065433 0.00022793622 0.0000975285 0.0000944314 217441.146 198790.516 211217.958 6.57088 1.31704 3.88363 0.0002583080 2.97401 357.002 0.016257 814.618 286.856 0.00009018984 0.00022860775 0.0000971685 0.0000948383 217004.112 198450.691 210735.267 6.63170 0.99171 3.87772 0.0002583548 2.97667 358.012 0.016303 814.153 286.759 0.00008971313 0.00022928972 0.0000967932 0.0000952477 216570.350 198120.070 210256.780 6.69399 0.65899 3.87187 0.0002583889 2.97657 359.022 0.016349 813.702 286.668 0.00008923458 0.00022996705 0.0000964108 0.0000956504 216149.679 197806.325 209793.367 6.75638 0.32619 3.86620 0.0002584093 2.97362 360.010 0.016394 813.273 286.586 0.00008876474 0.00023062511 0.0000960299 0.0000960378 215750.791 197515.668 209354.599 6.81750 0.00058 3.86083 0.0002584157 2.96799 Engine speed (Hz) = 61.0000000000 Output power (W) = 181.0380269636 Heat into heater (W) = 415.8675738821 Heat to regenerator (W) = 0.0353534991 Heat removal from cooler (W) = 235.5106717740 Approximate Pumping loss (W) = -145.5766534167 Thermal efficiency (%) = 43.5326143064 The average engine pressure (Pa) = 273967.2508522607 The exp space work per cycle (J) = 6.8200333954 The comp space work per cycle (J) = -3.8521968878 The net work per cycle (J) = 2.9678365076 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.6439672815 The expansion work for Vmin-to-Vmax (J) = 25.6118037891 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.017 0.000001 813.977 286.644 0.00008886132 0.00023042729 0.0000960271 0.0000960406 216178.787 197380.192 209590.606 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.022 0.000046 813.556 286.568 0.00008838204 0.00023109207 0.0000956331 0.0000964275 215786.985 197102.887 209158.159 0.06189 -0.33108 -0.00529 0.0002584087 -0.00872 2.004 0.000090 813.158 286.499 0.00008791188 0.00023173747 0.0000952414 0.0000967991 215416.229 196847.731 208749.649 0.12247 -0.65477 -0.01029 0.0002583885 -0.01993 3.008 0.000135 812.763 286.436 0.00008742953 0.00023239275 0.0000948342 0.0000971721 215049.634 196603.069 208346.492 0.18447 -0.98572 -0.01522 0.0002583544 -0.03412 4.013 0.000180 812.381 286.379 0.00008694576 0.00023304311 0.0000944206 0.0000975379 214695.738 196374.825 207958.120 0.24650 -1.31652 -0.01997 0.0002583065 -0.05106 5.017 0.000225 812.013 286.328 0.00008646066 0.00023368848 0.0000940006 0.0000978964 214354.512 196162.945 207584.518 0.30855 -1.64712 -0.02454 0.0002582451 -0.07073 6.021 0.000270 811.658 286.284 0.00008597431 0.00023432876 0.0000935744 0.0000982475 214025.927 195967.374 207225.672 0.37061 -1.97747 -0.02893 0.0002581700 -0.09312 7.003 0.000314 811.324 286.248 0.00008549763 0.00023494983 0.0000931518 0.0000985835 213716.840 195791.869 206889.054 0.43127 -2.30018 -0.03305 0.0002580834 -0.11763 8.008 0.000359 810.995 286.216 0.00008500907 0.00023557982 0.0000927137 0.0000989196 213413.176 195628.401 206559.350 0.49329 -2.62987 -0.03708 0.0002579814 -0.14536 9.012 0.000404 810.679 286.191 0.00008451951 0.00023620450 0.0000922698 0.0000992480 213122.076 195481.091 206244.363 0.55527 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0.013710 854.961 301.050 0.00010978480 0.00019012045 0.0001048724 0.0000688335 256867.497 238643.554 254777.691 3.85877 16.30358 4.43930 0.0002400539 -0.95431 307.007 0.013755 853.900 300.588 0.00010952860 0.00019089992 0.0001049540 0.0000693797 255751.126 237371.095 253557.819 3.90234 16.05708 4.42438 0.0002406816 -0.80335 308.011 0.013800 852.848 300.134 0.00010926557 0.00019168071 0.0001050259 0.0000699271 254648.123 236118.349 252350.793 3.94639 15.80721 4.40961 0.0002413011 -0.65529 309.015 0.013845 851.807 299.687 0.00010899583 0.00019246264 0.0001050883 0.0000704758 253558.549 234885.357 251156.785 3.99091 15.55403 4.39500 0.0002419121 -0.51016 310.020 0.013890 850.774 299.247 0.00010871947 0.00019324552 0.0001051411 0.0000710255 252482.462 233672.151 249975.961 4.03592 15.29764 4.38056 0.0002425146 -0.36796 311.002 0.013934 849.775 298.824 0.00010844297 0.00019401175 0.0001051833 0.0000715637 251443.377 232505.058 248834.274 4.08038 15.04390 4.36659 0.0002430951 -0.23178 312.006 0.013979 848.762 298.399 0.00010815386 0.00019479601 0.0001052170 0.0000721149 250394.111 231331.038 247679.974 4.12633 14.78137 4.35247 0.0002436799 -0.09543 313.011 0.014024 847.760 297.981 0.00010785847 0.00019558071 0.0001052410 0.0000726666 249358.469 230176.842 246539.294 4.17276 14.51585 4.33852 0.0002442556 0.03794 314.015 0.014069 846.768 297.570 0.00010755689 0.00019636569 0.0001052553 0.0000732186 248336.490 229042.465 245412.366 4.21967 14.24742 4.32473 0.0002448219 0.16832 315.019 0.014114 845.787 297.167 0.00010724925 0.00019715079 0.0001052600 0.0000737707 247328.207 227927.895 244299.312 4.26705 13.97616 4.31112 0.0002453787 0.29571 316.002 0.014158 844.837 296.781 0.00010694267 0.00019791841 0.0001052552 0.0000743106 246355.600 226857.226 243224.519 4.31383 13.70826 4.29797 0.0002459138 0.41737 317.006 0.014203 843.877 296.392 0.00010662332 0.00019870329 0.0001052407 0.0000748626 245374.483 225781.768 242139.237 4.36214 13.43161 4.28469 0.0002464513 0.53881 318.010 0.014248 842.927 296.012 0.00010629822 0.00019948784 0.0001052165 0.0000754143 244407.135 224726.040 241068.151 4.41092 13.15235 4.27159 0.0002469788 0.65723 319.015 0.014293 841.988 295.638 0.00010596748 0.00020027191 0.0001051827 0.0000759654 243453.571 223690.005 240011.355 4.46016 12.87055 4.25866 0.0002474962 0.77262 320.019 0.014338 841.060 295.273 0.00010563118 0.00020105536 0.0001051392 0.0000765159 242513.806 222673.621 238968.937 4.50987 12.58629 4.24591 0.0002480031 0.88498 321.001 0.014382 840.164 294.922 0.00010529710 0.00020182066 0.0001050874 0.0000770533 241608.275 221698.778 237963.664 4.55891 12.30602 4.23361 0.0002484887 0.99191 322.006 0.014427 839.258 294.571 0.00010495015 0.00020260246 0.0001050248 0.0000776020 240695.824 220721.113 236949.915 4.60951 12.01708 4.22121 0.0002489748 1.09827 323.010 0.014472 838.364 294.228 0.00010459797 0.00020338324 0.0001049527 0.0000781494 239797.191 219762.942 235950.768 4.66056 11.72589 4.20899 0.0002494501 1.20158 324.014 0.014517 837.481 293.891 0.00010424065 0.00020416286 0.0001048709 0.0000786955 238912.375 218824.206 234966.287 4.71206 11.43250 4.19694 0.0002499145 1.30185 325.019 0.014562 836.609 293.563 0.00010387831 0.00020494118 0.0001047796 0.0000792401 238041.374 217904.840 233996.530 4.76399 11.13700 4.18508 0.0002503678 1.39906 326.001 0.014606 835.768 293.249 0.00010351925 0.00020570085 0.0001046812 0.0000797710 237203.081 217024.569 233062.613 4.81519 10.84608 4.17366 0.0002508002 1.49118 327.005 0.014651 834.920 292.935 0.00010314726 0.00020647627 0.0001045710 0.0000803121 236359.384 216143.312 232122.130 4.86798 10.54659 4.16215 0.0002512312 1.58237 328.010 0.014696 834.083 292.628 0.00010277055 0.00020725003 0.0001044514 0.0000808512 235529.478 215281.217 231196.518 4.92118 10.24517 4.15083 0.0002516507 1.67051 329.014 0.014741 833.258 292.329 0.00010238920 0.00020802203 0.0001043224 0.0000813881 234713.351 214438.209 230285.813 4.97480 9.94190 4.13969 0.0002520585 1.75561 330.018 0.014786 832.445 292.037 0.00010200333 0.00020879214 0.0001041840 0.0000819227 233910.988 213614.212 229390.052 5.02883 9.63684 4.12873 0.0002524547 1.83766 331.001 0.014830 831.661 291.759 0.00010162176 0.00020954321 0.0001040396 0.0000824429 233139.747 212826.831 228528.676 5.08205 9.33690 4.11819 0.0002528306 1.91494 332.005 0.014875 830.872 291.482 0.00010122723 0.00021030927 0.0001038828 0.0000829724 232364.553 212040.199 227662.558 5.13687 9.02849 4.10760 0.0002532032 1.99098 333.009 0.014920 830.095 291.212 0.00010082847 0.00021107312 0.0001037167 0.0000834990 231603.066 211272.338 226811.463 5.19207 8.71848 4.09719 0.0002535637 2.06397 334.014 0.014965 829.330 290.949 0.00010042557 0.00021183464 0.0001035414 0.0000840226 230855.265 210523.166 225975.413 5.24765 8.40694 4.08696 0.0002539120 2.13393 335.018 0.015010 828.577 290.694 0.00010001864 0.00021259375 0.0001033569 0.0000845431 230121.124 209792.599 225154.424 5.30361 8.09393 4.07691 0.0002542480 2.20087 336.000 0.015054 827.853 290.451 0.00009961693 0.00021333354 0.0001031677 0.0000850488 229416.482 209096.177 224366.253 5.35867 7.78650 4.06727 0.0002545645 2.26339 337.005 0.015099 827.125 290.210 0.00009920230 0.00021408756 0.0001029653 0.0000855625 228709.283 208402.159 223575.086 5.41533 7.47075 4.05759 0.0002548758 2.32434 338.009 0.015144 826.409 289.976 0.00009878391 0.00021483885 0.0001027539 0.0000860726 228015.664 207726.495 222799.010 5.47233 7.15370 4.04810 0.0002551746 2.38228 339.013 0.015189 825.706 289.750 0.00009836186 0.00021558732 0.0001025337 0.0000865790 227335.597 207069.100 222038.031 5.52968 6.83542 4.03879 0.0002554607 2.43721 340.018 0.015234 825.015 289.530 0.00009793625 0.00021633288 0.0001023045 0.0000870814 226669.050 206429.888 221292.151 5.58735 6.51597 4.02967 0.0002557339 2.48914 341.022 0.015279 824.336 289.318 0.00009750717 0.00021707544 0.0001020666 0.0000875797 226015.992 205808.774 220561.369 5.64533 6.19540 4.02073 0.0002559944 2.53807 342.004 0.015323 823.685 289.117 0.00009708437 0.00021779849 0.0001018256 0.0000880629 225390.458 205218.880 219861.424 5.70232 5.88094 4.01216 0.0002562365 2.58303 343.009 0.015368 823.032 288.918 0.00009664870 0.00021853483 0.0001015706 0.0000885526 224763.983 204633.311 219160.497 5.76091 5.55834 4.00359 0.0002564712 2.62606 344.013 0.015413 822.391 288.727 0.00009620984 0.00021926788 0.0001013070 0.0000890378 224150.898 204065.589 218474.656 5.81977 5.23480 3.99520 0.0002566929 2.66613 345.018 0.015458 821.763 288.543 0.00009576788 0.00021999757 0.0001010350 0.0000895184 223551.169 203515.631 217803.895 5.87892 4.91037 3.98699 0.0002569014 2.70322 346.022 0.015503 821.148 288.365 0.00009532292 0.00022072380 0.0001007545 0.0000899941 222964.760 202983.354 217148.204 5.93832 4.58511 3.97897 0.0002570966 2.73737 347.004 0.015547 820.559 288.199 0.00009488502 0.00022143047 0.0001004723 0.0000904544 222404.229 202479.924 216521.644 5.99666 4.26634 3.97131 0.0002572747 2.76790 348.008 0.015592 819.970 288.035 0.00009443437 0.00022214961 0.0001001756 0.0000909200 221844.062 201982.379 215895.726 6.05656 3.93961 3.96365 0.0002574436 2.79623 349.013 0.015637 819.393 287.879 0.00009398098 0.00022286505 0.0000998707 0.0000913804 221297.109 201502.275 215284.842 6.11669 3.61222 3.95618 0.0002575992 2.82163 350.017 0.015682 818.829 287.729 0.00009352494 0.00022357668 0.0000995578 0.0000918354 220763.334 201039.534 214688.978 6.17703 3.28423 3.94889 0.0002577413 2.84412 351.022 0.015727 818.278 287.586 0.00009306634 0.00022428445 0.0000992370 0.0000922849 220242.701 200594.079 214108.121 6.23759 2.95568 3.94178 0.0002578699 2.86370 352.004 0.015771 817.752 287.453 0.00009261554 0.00022497265 0.0000989158 0.0000927188 219746.310 200175.163 213554.665 6.29699 2.63396 3.93501 0.0002579826 2.88004 353.008 0.015816 817.226 287.323 0.00009215215 0.00022567250 0.0000985796 0.0000931569 219251.561 199763.673 213003.438 6.35791 2.30449 3.92827 0.0002580845 2.89391 354.012 0.015861 816.714 287.201 0.00009168646 0.00022636823 0.0000982357 0.0000935890 218769.846 199369.246 212467.168 6.41901 1.97463 3.92171 0.0002581727 2.90490 355.017 0.015906 816.215 287.085 0.00009121856 0.00022705976 0.0000978844 0.0000940149 218301.128 198991.810 211945.838 6.48027 1.64443 3.91533 0.0002582474 2.91303 356.021 0.015951 815.728 286.975 0.00009074854 0.00022774700 0.0000975256 0.0000944347 217845.373 198631.296 211439.430 6.54166 1.31396 3.90914 0.0002583084 2.91832 357.003 0.015995 815.266 286.875 0.00009028701 0.00022841475 0.0000971678 0.0000948390 217412.244 198295.088 210958.687 6.60183 0.99061 3.90326 0.0002583548 2.92074 358.008 0.016040 814.805 286.779 0.00008981306 0.00022909329 0.0000967947 0.0000952461 216982.022 197967.837 210481.739 6.66347 0.65974 3.89742 0.0002583888 2.92042 359.012 0.016085 814.358 286.690 0.00008933726 0.00022976730 0.0000964145 0.0000956466 216564.657 197657.308 210019.659 6.72522 0.32875 3.89177 0.0002584091 2.91729 360.017 0.016130 813.924 286.607 0.00008885969 0.00023043672 0.0000960274 0.0000960403 216160.117 197363.434 209572.431 6.78706 -0.00230 3.88630 0.0002584157 2.91136 Engine speed (Hz) = 62.0000000000 Output power (W) = 180.4942419913 Heat into heater (W) = 420.7974396558 Heat to regenerator (W) = -0.1426509265 Heat removal from cooler (W) = 240.9505140100 Approximate Pumping loss (W) = -152.1402878729 Thermal efficiency (%) = 42.8933793273 The average engine pressure (Pa) = 274041.1530669907 The exp space work per cycle (J) = 6.7882970401 The comp space work per cycle (J) = -3.8770995886 The net work per cycle (J) = 2.9111974515 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.6751967247 The expansion work for Vmin-to-Vmax (J) = 25.5863941762 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.020 0.000001 814.637 286.664 0.00008895874 0.00023023477 0.0000960260 0.0000960417 216593.758 197226.751 209812.312 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.018 0.000045 814.220 286.589 0.00008848251 0.00023089583 0.0000956346 0.0000964261 216205.391 196952.799 209381.403 0.06121 -0.32906 -0.00527 0.0002584087 -0.00888 2.016 0.000089 813.817 286.520 0.00008800468 0.00023155225 0.0000952365 0.0000968037 215829.533 196695.205 208965.086 0.12248 -0.65811 -0.01036 0.0002583882 -0.02050 3.014 0.000133 813.426 286.457 0.00008752531 0.00023220395 0.0000948319 0.0000971742 215466.152 196453.909 208563.346 0.18380 -0.98709 -0.01528 0.0002583541 -0.03485 4.012 0.000177 813.048 286.402 0.00008704450 0.00023285084 0.0000944209 0.0000975376 215115.215 196228.857 208176.166 0.24515 -1.31595 -0.02002 0.0002583066 -0.05191 5.010 0.000221 812.683 286.352 0.00008656234 0.00023349285 0.0000940037 0.0000978939 214776.693 196019.992 207803.532 0.30653 -1.64464 -0.02457 0.0002582456 -0.07167 6.008 0.000265 812.331 286.309 0.00008607890 0.00023412990 0.0000935803 0.0000982428 214450.556 195827.262 207445.428 0.36792 -1.97311 -0.02895 0.0002581711 -0.09412 7.006 0.000309 811.992 286.272 0.00008559428 0.00023476191 0.0000931509 0.0000985843 214136.777 195650.616 207101.842 0.42930 -2.30130 -0.03316 0.0002580832 -0.11924 8.004 0.000353 811.666 286.242 0.00008510855 0.00023538879 0.0000927156 0.0000989182 213835.327 195490.002 206772.760 0.49066 -2.62916 -0.03718 0.0002579818 -0.14701 9.001 0.000397 811.353 286.218 0.00008462181 0.00023601048 0.0000922746 0.0000992445 213546.182 195345.374 206458.170 0.55198 -2.95664 -0.04103 0.0002578671 -0.17743 10.022 0.000442 811.046 286.200 0.00008412305 0.00023664083 0.0000918177 0.0000995703 213263.167 195213.945 206151.410 0.61463 -3.29112 -0.04478 0.0002577360 -0.21126 11.020 0.000486 810.759 286.188 0.00008363451 0.00023725175 0.0000913654 0.0000998808 212998.836 195101.511 205866.103 0.67583 -3.61766 -0.04827 0.0002575943 -0.24697 12.018 0.000530 810.485 286.183 0.00008314522 0.00023785723 0.0000909079 0.0001001835 212746.741 195004.927 205595.260 0.73695 -3.94367 -0.05159 0.0002574394 -0.28529 13.016 0.000574 810.225 286.184 0.00008265525 0.00023845717 0.0000904451 0.0001004781 212506.860 194924.151 205338.873 0.79797 -4.26908 -0.05472 0.0002572712 -0.32619 14.014 0.000618 809.977 286.191 0.00008216470 0.00023905150 0.0000899772 0.0001007647 212279.176 194859.144 205096.938 0.85887 -4.59384 -0.05768 0.0002570899 -0.36966 15.012 0.000662 809.742 286.204 0.00008167365 0.00023964013 0.0000895044 0.0001010430 212063.673 194809.868 204869.450 0.91964 -4.91790 -0.06047 0.0002568955 -0.41568 16.010 0.000706 809.521 286.223 0.00008118219 0.00024022298 0.0000890269 0.0001013131 211860.335 194776.285 204656.408 0.98026 -5.24120 -0.06307 0.0002566880 -0.46424 17.007 0.000750 809.313 286.249 0.00008069041 0.00024079996 0.0000885447 0.0001015748 211669.150 194758.361 204457.809 1.04073 -5.56369 -0.06550 0.0002564675 -0.51532 18.005 0.000794 809.117 286.280 0.00008019838 0.00024137098 0.0000880580 0.0001018281 211490.108 194756.062 204273.656 1.10101 -5.88532 -0.06775 0.0002562341 -0.56891 19.003 0.000838 808.935 286.318 0.00007970620 0.00024193595 0.0000875670 0.0001020728 211323.201 194769.356 204103.952 1.16110 -6.20602 -0.06983 0.0002559879 -0.62498 20.001 0.000882 808.766 286.361 0.00007921397 0.00024249478 0.0000870718 0.0001023090 211168.422 194798.211 203948.701 1.22097 -6.52575 -0.07173 0.0002557288 -0.68353 21.022 0.000927 808.607 286.412 0.00007871057 0.00024305988 0.0000865612 0.0001025416 211022.666 194843.788 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318.016 0.014022 843.453 296.031 0.00010636602 0.00019931943 0.0001052164 0.0000754176 244715.946 224541.016 241302.717 4.39249 13.13467 4.29738 0.0002469820 0.60783 319.014 0.014066 842.524 295.659 0.00010603864 0.00020009697 0.0001051827 0.0000759652 243772.087 223511.194 240253.275 4.44113 12.85550 4.28455 0.0002474960 0.72236 320.012 0.014110 841.606 295.295 0.00010570578 0.00020087393 0.0001051395 0.0000765122 242841.812 222500.842 239217.972 4.49022 12.57389 4.27188 0.0002479997 0.83390 321.010 0.014154 840.699 294.939 0.00010536752 0.00020165019 0.0001050868 0.0000770583 241925.128 221509.911 238196.888 4.53976 12.28989 4.25939 0.0002484931 0.94244 322.008 0.014198 839.803 294.590 0.00010502398 0.00020242560 0.0001050247 0.0000776034 241022.041 220538.348 237190.100 4.58974 12.00358 4.24707 0.0002489760 1.04797 323.006 0.014242 838.919 294.248 0.00010467525 0.00020320004 0.0001049530 0.0000781473 240132.553 219586.097 236197.674 4.64017 11.71502 4.23493 0.0002494483 1.15050 324.004 0.014286 838.045 293.913 0.00010432143 0.00020397338 0.0001048718 0.0000786899 239256.662 218653.096 235219.676 4.69102 11.42429 4.22297 0.0002499097 1.25001 325.002 0.014330 837.183 293.586 0.00010396263 0.00020474550 0.0001047813 0.0000792310 238394.365 217739.282 234256.162 4.74231 11.13145 4.21118 0.0002503603 1.34652 326.022 0.014375 836.313 293.259 0.00010359061 0.00020553376 0.0001046789 0.0000797827 237526.523 216824.475 233285.789 4.79521 10.82983 4.19931 0.0002508096 1.44211 327.020 0.014419 835.474 292.947 0.00010322202 0.00020630303 0.0001045693 0.0000803202 236691.699 215949.261 232351.732 4.84735 10.53292 4.18789 0.0002512376 1.53252 328.018 0.014463 834.647 292.642 0.00010284874 0.00020707070 0.0001044504 0.0000808558 235870.441 215093.024 231432.307 4.89991 10.23410 4.17664 0.0002516542 1.61992 329.016 0.014507 833.831 292.345 0.00010247086 0.00020783668 0.0001043221 0.0000813892 235062.736 214255.686 230527.552 4.95288 9.93342 4.16557 0.0002520594 1.70431 330.014 0.014551 833.027 292.055 0.00010208850 0.00020860084 0.0001041846 0.0000819204 234268.567 213437.173 229637.502 5.00625 9.63096 4.15468 0.0002524530 1.78569 331.012 0.014595 832.235 291.772 0.00010170173 0.00020936307 0.0001040379 0.0000824490 233487.918 212637.405 228762.189 5.06001 9.32678 4.14397 0.0002528349 1.86407 332.010 0.014639 831.454 291.496 0.00010131067 0.00021012328 0.0001038820 0.0000829750 232720.767 211856.303 227901.639 5.11416 9.02094 4.13345 0.0002532050 1.93944 333.008 0.014683 830.686 291.228 0.00010091540 0.00021088134 0.0001037169 0.0000834982 231967.094 211093.786 227055.877 5.16869 8.71350 4.12310 0.0002535632 2.01180 334.006 0.014727 829.929 290.966 0.00010051602 0.00021163717 0.0001035428 0.0000840185 231226.875 210349.772 226224.921 5.22360 8.40452 4.11294 0.0002539093 2.08117 335.004 0.014771 829.185 290.713 0.00010011262 0.00021239066 0.0001033596 0.0000845356 230500.087 209624.177 225408.789 5.27887 8.09406 4.10295 0.0002542432 2.14755 336.002 0.014815 828.452 290.466 0.00009970530 0.00021314170 0.0001031674 0.0000850495 229786.701 208916.918 224607.495 5.33449 7.78219 4.09315 0.0002545649 2.21093 337.022 0.014860 827.716 290.221 0.00009928476 0.00021390718 0.0001029617 0.0000855715 229070.937 208212.463 223803.347 5.39175 7.46182 4.08331 0.0002548812 2.27267 338.020 0.014904 827.008 289.989 0.00009886979 0.00021465298 0.0001027515 0.0000860783 228384.577 207542.036 223032.095 5.44807 7.14726 4.07388 0.0002551779 2.33003 339.018 0.014948 826.312 289.763 0.00009845118 0.00021539605 0.0001025326 0.0000865813 227711.534 206889.690 222275.704 5.50473 6.83146 4.06462 0.0002554620 2.38441 340.016 0.014992 825.629 289.545 0.00009802903 0.00021613629 0.0001023049 0.0000870805 227051.776 206255.341 221534.178 5.56170 6.51448 4.05555 0.0002557335 2.43583 341.014 0.015036 824.958 289.334 0.00009760341 0.00021687361 0.0001020686 0.0000875756 226405.271 205638.905 220807.516 5.61899 6.19638 4.04666 0.0002559923 2.48428 342.012 0.015080 824.300 289.130 0.00009717443 0.00021760793 0.0001018237 0.0000880666 225771.987 205040.298 220095.718 5.67659 5.87721 4.03796 0.0002562383 2.52979 343.010 0.015124 823.654 288.933 0.00009674217 0.00021833914 0.0001015703 0.0000885531 225151.889 204459.435 219398.780 5.73447 5.55703 4.02943 0.0002564715 2.57235 344.008 0.015168 823.020 288.743 0.00009630673 0.00021906717 0.0001013084 0.0000890353 224544.944 203896.235 218716.696 5.79264 5.23589 4.02109 0.0002566917 2.61198 345.006 0.015212 822.399 288.560 0.00009586819 0.00021979192 0.0001010382 0.0000895127 223951.116 203350.615 218049.459 5.85108 4.91386 4.01292 0.0002568990 2.64867 346.004 0.015256 821.790 288.384 0.00009542665 0.00022051332 0.0001007597 0.0000899854 223370.370 202822.492 217397.062 5.90979 4.59098 4.00494 0.0002570932 2.68245 347.001 0.015300 821.194 288.215 0.00009498219 0.00022123127 0.0001004731 0.0000904532 222802.670 202311.788 216759.493 5.96874 4.26732 3.99714 0.0002572743 2.71332 348.022 0.015345 820.598 288.049 0.00009452471 0.00022196188 0.0001001715 0.0000909263 222235.524 201807.410 216122.759 6.02929 3.93554 3.98935 0.0002574458 2.74189 349.020 0.015389 820.027 287.894 0.00009407462 0.00022267261 0.0000998685 0.0000913837 221694.102 201331.694 215515.149 6.08872 3.61046 3.98192 0.0002576003 2.76690 350.018 0.015433 819.470 287.745 0.00009362188 0.00022337965 0.0000995576 0.0000918358 221165.615 200873.158 214922.329 6.14836 3.28474 3.97467 0.0002577414 2.78903 351.016 0.015477 818.924 287.604 0.00009316657 0.00022408291 0.0000992389 0.0000922823 220650.027 200431.725 214344.286 6.20822 2.95846 3.96760 0.0002578692 2.80829 352.014 0.015521 818.392 287.469 0.00009270879 0.00022478231 0.0000989124 0.0000927232 220147.301 200007.322 213781.005 6.26827 2.63167 3.96071 0.0002579837 2.82469 353.012 0.015565 817.872 287.340 0.00009224863 0.00022547777 0.0000985784 0.0000931584 219657.400 199599.872 213232.469 6.32850 2.30441 3.95400 0.0002580848 2.83824 354.010 0.015609 817.366 287.219 0.00009178616 0.00022616922 0.0000982367 0.0000935877 219180.287 199209.305 212698.662 6.38889 1.97675 3.94747 0.0002581725 2.84895 355.008 0.015653 816.872 287.104 0.00009132148 0.00022685657 0.0000978877 0.0000940110 218715.927 198835.550 212179.568 6.44945 1.64873 3.94112 0.0002582467 2.85684 356.005 0.015697 816.390 286.996 0.00009085467 0.00022753975 0.0000975314 0.0000944281 218264.282 198478.536 211675.168 6.51015 1.32040 3.93495 0.0002583075 2.86191 357.003 0.015741 815.922 286.894 0.00009038581 0.00022821868 0.0000971678 0.0000948390 217825.318 198138.196 211185.447 6.57098 0.99183 3.92896 0.0002583548 2.86418 358.001 0.015785 815.466 286.800 0.00008991500 0.00022889327 0.0000967971 0.0000952435 217398.997 197814.463 210710.386 6.63193 0.66306 3.92314 0.0002583886 2.86366 359.022 0.015830 815.014 286.709 0.00008943155 0.00022957863 0.0000964108 0.0000956504 216976.030 197500.483 210239.674 6.69438 0.32667 3.91739 0.0002584093 2.86025 360.020 0.015874 814.584 286.628 0.00008895705 0.00023024422 0.0000960261 0.0000960416 216575.180 197210.145 209794.214 6.75553 -0.00233 3.91194 0.0002584157 2.85412 Engine speed (Hz) = 63.0000000000 Output power (W) = 179.7988451439 Heat into heater (W) = 425.5983990613 Heat to regenerator (W) = -0.1470401065 Heat removal from cooler (W) = 246.4520436144 Approximate Pumping loss (W) = -158.8736818920 Thermal efficiency (%) = 42.2461281669 The average engine pressure (Pa) = 274110.7945854829 The exp space work per cycle (J) = 6.7567401849 The comp space work per cycle (J) = -3.9027902620 The net work per cycle (J) = 2.8539499229 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.7067506257 The expansion work for Vmin-to-Vmax (J) = 25.5607005486 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 815.314 286.685 0.00008906796 0.00023002502 0.0000960338 0.0000960339 217022.139 197077.868 210046.645 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.014 0.000044 814.892 286.609 0.00008858418 0.00023069719 0.0000956363 0.0000964245 216628.477 196800.925 209607.471 0.06188 -0.33438 -0.00537 0.0002584088 -0.00922 2.004 0.000087 814.492 286.542 0.00008810975 0.00023134950 0.0000952411 0.0000967993 216256.147 196546.622 209192.794 0.12242 -0.66118 -0.01045 0.0002583885 -0.02095 3.018 0.000131 814.097 286.479 0.00008762269 0.00023201222 0.0000948301 0.0000971758 215887.796 196303.072 208783.310 0.18442 -0.99553 -0.01545 0.0002583539 -0.03575 4.009 0.000174 813.723 286.424 0.00008714521 0.00023265514 0.0000944221 0.0000975366 215540.137 196081.289 208397.615 0.24506 -1.32220 -0.02017 0.0002583067 -0.05292 5.023 0.000218 813.353 286.374 0.00008665522 0.00023330808 0.0000939982 0.0000978985 215196.965 195870.900 208017.756 0.30712 -1.65631 -0.02482 0.0002582447 -0.07324 6.013 0.000261 813.005 286.332 0.00008617505 0.00023394129 0.0000935778 0.0000982448 214873.848 195681.415 207660.983 0.36779 -1.98263 -0.02918 0.0002581706 -0.09577 7.004 0.000304 812.669 286.296 0.00008569367 0.00023456958 0.0000931515 0.0000985838 214562.817 195507.817 207318.484 0.42846 -2.30871 -0.03337 0.0002580833 -0.12094 8.018 0.000348 812.339 286.266 0.00008519994 0.00023520732 0.0000927093 0.0000989230 214257.035 195346.576 206982.782 0.49052 -2.64206 -0.03748 0.0002579803 -0.14941 9.009 0.000391 812.029 286.243 0.00008471638 0.00023582542 0.0000922714 0.0000992468 213970.374 195204.972 206669.125 0.55113 -2.96748 -0.04132 0.0002578662 -0.17987 10.022 0.000435 811.724 286.226 0.00008422058 0.00023645257 0.0000918175 0.0000995704 213689.472 195076.373 206362.913 0.61311 -3.30005 -0.04506 0.0002577359 -0.21372 11.013 0.000478 811.440 286.215 0.00008373518 0.00023706017 0.0000913686 0.0000998787 213427.076 194966.578 206078.054 0.67361 -3.62460 -0.04855 0.0002575953 -0.24940 12.004 0.000521 811.168 286.211 0.00008324899 0.00023766245 0.0000909143 0.0001001793 213176.637 194872.441 205807.416 0.73404 -3.94865 -0.05186 0.0002574416 -0.28765 13.018 0.000565 810.904 286.212 0.00008275077 0.00023827315 0.0000904442 0.0001004787 212932.731 194792.279 205545.197 0.79577 -4.27965 -0.05507 0.0002572709 -0.32942 14.008 0.000608 810.658 286.220 0.00008226325 0.00023886443 0.0000899797 0.0001007631 212706.424 194729.697 205303.311 0.85599 -4.60251 -0.05803 0.0002570909 -0.37281 15.022 0.000652 810.420 286.235 0.00008176384 0.00023946370 0.0000894995 0.0001010459 212487.172 194681.744 205070.503 0.91749 -4.93218 -0.06087 0.0002568934 -0.41980 16.013 0.000695 810.199 286.255 0.00008127534 0.00024004363 0.0000890253 0.0001013139 212284.925 194650.564 204857.352 0.97745 -5.25364 -0.06348 0.0002566873 -0.46826 17.004 0.000738 809.992 286.281 0.00008078648 0.00024061783 0.0000885466 0.0001015738 212094.547 194634.852 204658.401 1.03725 -5.57431 -0.06591 0.0002564684 -0.51921 18.017 0.000782 809.793 286.314 0.00008028597 0.00024119936 0.0000880522 0.0001018310 211912.017 194634.752 204469.524 1.09826 -5.90159 -0.06823 0.0002562313 -0.57390 19.008 0.000825 809.612 286.352 0.00007979665 0.00024176170 0.0000875647 0.0001020740 211745.620 194650.236 204299.309 1.15770 -6.22054 -0.07031 0.0002559867 -0.62982 20.022 0.000869 809.440 286.397 0.00007929586 0.00024233090 0.0000870616 0.0001023138 211587.611 194681.994 204139.844 1.21831 -6.54593 -0.07226 0.0002557234 -0.68958 21.012 0.000912 809.284 286.448 0.00007880643 0.00024288101 0.0000865659 0.0001025395 211445.165 194728.551 203998.384 1.27731 -6.86293 -0.07399 0.0002554534 -0.75042 22.003 0.000955 809.142 286.504 0.00007831708 0.00024342493 0.0000860664 0.0001027566 211314.551 194790.424 203871.148 1.33608 -7.17887 -0.07555 0.0002551710 -0.81367 23.017 0.000999 809.009 286.567 0.00007781653 0.00024397502 0.0000855514 0.0001029698 211193.148 194869.563 203755.690 1.39596 -7.50102 -0.07696 0.0002548692 -0.88086 24.008 0.001042 808.892 286.635 0.00007732761 0.00024450615 0.0000850446 0.0001031693 211086.476 194962.344 203657.271 1.45420 -7.81467 -0.07816 0.0002545619 -0.94893 25.021 0.001086 808.786 286.711 0.00007682767 0.00024504295 0.0000845225 0.0001033644 210989.580 195073.058 203571.330 1.51349 -8.13435 -0.07921 0.0002542349 -1.02101 26.012 0.001129 808.696 286.790 0.00007633954 0.00024556091 0.0000840090 0.0001035460 210906.871 195196.649 203501.793 1.57113 -8.44547 -0.08006 0.0002539031 -1.09383 27.003 0.001172 808.618 286.876 0.00007585194 0.00024607221 0.0000834925 0.0001037188 210836.022 195335.434 203446.561 1.62845 -8.75526 -0.08074 0.0002535593 -1.16897 28.017 0.001216 808.553 286.969 0.00007535363 0.00024658839 0.0000829609 0.0001038863 210775.818 195493.152 203404.877 1.68674 -9.07080 -0.08125 0.0002531952 -1.24824 29.007 0.001259 808.501 287.066 0.00007486737 0.00024708590 0.0000824386 0.0001040409 210729.011 195662.614 203378.664 1.74335 -9.37771 -0.08157 0.0002528275 -1.32802 30.021 0.001303 808.462 287.171 0.00007437063 0.00024758776 0.0000819015 0.0001041897 210693.449 195851.680 203366.734 1.80089 -9.69019 -0.08172 0.0002524392 -1.41201 31.012 0.001346 808.437 287.280 0.00007388608 0.00024807105 0.0000813742 0.0001043259 210670.772 196051.738 203369.662 1.85672 -9.99397 -0.08168 0.0002520481 -1.49637 32.003 0.001389 808.426 287.394 0.00007340252 0.00024854716 0.0000808445 0.0001044530 210660.063 196266.888 203387.046 1.91214 -10.29611 -0.08147 0.0002516455 -1.58297 33.016 0.001433 808.427 287.516 0.00007290883 0.00024902678 0.0000803004 0.0001045735 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330.002 0.014323 833.620 292.074 0.00010217680 0.00020840263 0.0001041864 0.0000819139 234634.145 213265.721 229893.717 4.98425 9.61938 4.18070 0.0002524483 1.73231 331.016 0.014367 832.819 291.787 0.00010178493 0.00020917599 0.0001040374 0.0000824509 233844.142 212453.386 229004.372 5.03854 9.31101 4.16982 0.0002528363 1.81179 332.006 0.014410 832.047 291.513 0.00010139766 0.00020992979 0.0001038826 0.0000829731 233085.503 211678.182 228149.915 5.09199 9.00797 4.15937 0.0002532037 1.88646 333.020 0.014454 831.270 291.240 0.00010099705 0.00021069899 0.0001037148 0.0000835046 232322.919 210903.966 227290.628 5.14706 8.69623 4.14886 0.0002535675 1.95981 334.011 0.014497 830.523 290.981 0.00010060143 0.00021144852 0.0001035419 0.0000840211 231591.028 210165.848 226465.592 5.20125 8.39003 4.13877 0.0002539110 2.02850 335.002 0.014540 829.787 290.728 0.00010020182 0.00021219579 0.0001033600 0.0000845345 230872.320 209445.937 225655.124 5.25581 8.08235 4.12885 0.0002542425 2.09423 336.015 0.014584 829.047 290.478 0.00009978889 0.00021295799 0.0001031647 0.0000850565 230150.516 208728.044 224840.903 5.31199 7.76604 4.11889 0.0002545693 2.15844 337.006 0.014627 828.336 290.240 0.00009938149 0.00021370038 0.0001029650 0.0000855632 229458.397 208044.715 224059.950 5.36725 7.45555 4.10934 0.0002548763 2.21821 338.020 0.014671 827.620 290.004 0.00009896078 0.00021445740 0.0001027516 0.0000860781 228763.740 207364.081 223275.950 5.42413 7.13649 4.09975 0.0002551777 2.27633 339.011 0.014714 826.933 289.780 0.00009854596 0.00021519453 0.0001025343 0.0000865775 228098.090 206716.994 222524.547 5.48006 6.82342 4.09055 0.0002554599 2.33016 340.001 0.014757 826.257 289.563 0.00009812762 0.00021592893 0.0001023084 0.0000870732 227445.475 206087.693 221787.754 5.53630 6.50917 4.08154 0.0002557295 2.38107 341.015 0.014801 825.579 289.349 0.00009769599 0.00021667747 0.0001020684 0.0000875762 226791.143 205462.082 221048.952 5.59417 6.18643 4.07250 0.0002559925 2.43014 342.006 0.014844 824.928 289.146 0.00009727077 0.00021740606 0.0001018252 0.0000880636 226164.801 204868.512 220341.722 5.65102 5.86995 4.06385 0.0002562368 2.47514 343.020 0.014888 824.275 288.946 0.00009683230 0.00021814848 0.0001015678 0.0000885579 225537.283 204279.290 219633.167 5.70950 5.54505 4.05518 0.0002564737 2.51819 344.010 0.014931 823.649 288.758 0.00009640057 0.00021887089 0.0001013078 0.0000890365 224937.076 203721.115 218955.487 5.76693 5.22656 4.04689 0.0002566922 2.55732 345.001 0.014974 823.035 288.576 0.00009596577 0.00021959013 0.0001010395 0.0000895105 224349.733 203180.309 218292.404 5.82463 4.90716 4.03878 0.0002568980 2.59357 346.015 0.015018 822.420 288.398 0.00009551775 0.00022032272 0.0001007566 0.0000899907 223762.010 202644.824 217629.002 5.88394 4.57944 4.03067 0.0002570953 2.62768 347.005 0.015061 821.831 288.230 0.00009507697 0.00022103528 0.0001004719 0.0000904550 223200.583 202138.919 216995.425 5.94215 4.25837 4.02292 0.0002572750 2.65811 348.019 0.015105 821.242 288.065 0.00009462302 0.00022176086 0.0001001723 0.0000909250 222639.303 201638.979 216362.193 6.00196 3.92906 4.01517 0.0002574454 2.68629 349.010 0.015148 820.678 287.911 0.00009417662 0.00022246640 0.0000998716 0.0000913791 222103.643 201167.651 215758.078 6.06065 3.60653 4.00778 0.0002575988 2.71094 350.001 0.015191 820.126 287.764 0.00009372757 0.00022316835 0.0000995631 0.0000918280 221580.663 200713.297 215168.506 6.11955 3.28336 4.00057 0.0002577391 2.73275 351.014 0.015235 819.575 287.620 0.00009326543 0.00022388283 0.0000992394 0.0000922817 221058.607 200265.869 214580.262 6.18003 2.95207 3.99337 0.0002578690 2.75214 352.005 0.015278 819.049 287.487 0.00009281128 0.00022457727 0.0000989153 0.0000927195 220561.166 199845.629 214020.070 6.23933 2.62777 3.98652 0.0002579828 2.76823 353.019 0.015322 818.523 287.357 0.00009234410 0.00022528390 0.0000985759 0.0000931615 220065.166 199432.954 213461.859 6.30020 2.29544 3.97969 0.0002580855 2.78179 354.010 0.015365 818.022 287.237 0.00009188520 0.00022597052 0.0000982367 0.0000935877 219593.113 199046.531 212930.985 6.35985 1.97022 3.97320 0.0002581725 2.79220 355.000 0.015408 817.534 287.123 0.00009142409 0.00022665315 0.0000978903 0.0000940080 219133.551 198676.714 212414.577 6.41967 1.64463 3.96688 0.0002582463 2.79983 356.014 0.015452 817.047 287.014 0.00009095004 0.00022734746 0.0000975282 0.0000944317 218676.195 198315.418 211901.116 6.48102 1.31113 3.96060 0.0002583080 2.80476 357.005 0.015495 816.584 286.913 0.00009048469 0.00022802179 0.0000971673 0.0000948396 218241.796 197978.995 211413.926 6.54111 0.98493 3.95464 0.0002583549 2.80679 358.019 0.015539 816.123 286.817 0.00009000649 0.00022870744 0.0000967906 0.0000952504 217810.111 197651.730 210930.327 6.60272 0.65092 3.94872 0.0002583891 2.80601 359.009 0.015582 815.686 286.730 0.00008953725 0.00022937316 0.0000964156 0.0000956454 217400.727 197348.434 210472.284 6.66305 0.32434 3.94312 0.0002584091 2.80248 360.000 0.015625 815.261 286.650 0.00008906621 0.00023003451 0.0000960338 0.0000960339 217003.654 197061.415 210028.622 6.72346 -0.00237 3.93769 0.0002584157 2.79622 Engine speed (Hz) = 64.0000000000 Output power (W) = 178.9468209607 Heat into heater (W) = 430.3013859033 Heat to regenerator (W) = -0.1514655362 Heat removal from cooler (W) = 252.0121804699 Approximate Pumping loss (W) = -165.7814581488 Thermal efficiency (%) = 41.5863919622 The average engine pressure (Pa) = 274181.1941063766 The exp space work per cycle (J) = 6.7246390595 The comp space work per cycle (J) = -3.9285949820 The net work per cycle (J) = 2.7960440775 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.7388247903 The expansion work for Vmin-to-Vmax (J) = 25.5348688678 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.016 0.000001 815.982 286.703 0.00008916065 0.00022983764 0.0000960275 0.0000960402 217440.348 196916.868 210267.385 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.022 0.000044 815.565 286.629 0.00008868047 0.00023050525 0.0000956328 0.0000964278 217050.891 196643.711 209830.459 0.06112 -0.33197 -0.00534 0.0002584086 -0.00941 2.005 0.000086 815.171 286.562 0.00008820979 0.00023115288 0.0000952408 0.0000967996 216682.598 196393.034 209417.948 0.12088 -0.65626 -0.01039 0.0002583885 -0.02129 3.011 0.000129 814.779 286.500 0.00008772629 0.00023181129 0.0000948329 0.0000971733 216317.894 196152.839 209010.192 0.18213 -0.98825 -0.01538 0.0002583542 -0.03620 4.018 0.000172 814.401 286.445 0.00008724125 0.00023246492 0.0000944185 0.0000975397 215965.660 195929.231 208617.169 0.24341 -1.32018 -0.02019 0.0002583063 -0.05386 5.000 0.000214 814.043 286.398 0.00008676608 0.00023309866 0.0000940076 0.0000978906 215633.623 195726.782 208247.493 0.30330 -1.64428 -0.02471 0.0002582462 -0.07377 6.007 0.000257 813.691 286.355 0.00008627824 0.00023374262 0.0000935807 0.0000982424 215305.938 195535.797 207883.546 0.36464 -1.97591 -0.02916 0.0002581712 -0.09686 7.013 0.000300 813.351 286.320 0.00008578912 0.00023438156 0.0000931478 0.0000985867 214990.624 195361.235 207534.286 0.42597 -2.30733 -0.03343 0.0002580825 -0.12266 8.019 0.000343 813.024 286.291 0.00008529880 0.00023501540 0.0000927088 0.0000989233 214687.650 195203.046 207199.701 0.48728 -2.63846 -0.03753 0.0002579801 -0.15117 9.002 0.000385 812.717 286.268 0.00008481881 0.00023562951 0.0000922744 0.0000992446 214403.606 195064.295 206887.051 0.54715 -2.96157 -0.04135 0.0002578671 -0.18160 10.008 0.000428 812.415 286.252 0.00008432639 0.00023625303 0.0000918240 0.0000995658 214124.938 194938.326 206581.438 0.60839 -3.29198 -0.04509 0.0002577379 -0.21541 11.014 0.000471 812.127 286.242 0.00008383302 0.00023687121 0.0000913681 0.0000998791 213858.527 194828.587 206290.466 0.66957 -3.62196 -0.04865 0.0002575952 -0.25187 12.020 0.000514 811.852 286.238 0.00008333881 0.00023748396 0.0000909067 0.0001001842 213604.346 194735.035 206014.125 0.73068 -3.95144 -0.05203 0.0002574390 -0.29098 13.003 0.000556 811.595 286.241 0.00008285536 0.00023807714 0.0000904509 0.0001004745 213367.860 194659.244 205758.329 0.79028 -4.27272 -0.05516 0.0002572734 -0.33172 14.009 0.000599 811.346 286.249 0.00008235973 0.00023867891 0.0000899792 0.0001007634 213137.788 194597.564 205510.890 0.85119 -4.60105 -0.05819 0.0002570907 -0.37600 15.016 0.000642 811.109 286.264 0.00008186352 0.00023927499 0.0000895025 0.0001010441 212919.880 194551.949 205278.066 0.91198 -4.92873 -0.06103 0.0002568947 -0.42289 16.022 0.000685 810.885 286.286 0.00008136681 0.00023986530 0.0000890210 0.0001013163 212714.119 194522.361 205059.852 0.97264 -5.25569 -0.06370 0.0002566853 -0.47235 17.005 0.000727 810.680 286.313 0.00008088126 0.00024043623 0.0000885461 0.0001015741 212524.853 194508.899 204860.817 1.03173 -5.57429 -0.06614 0.0002564682 -0.52314 18.011 0.000770 810.482 286.346 0.00008038384 0.00024101487 0.0000880554 0.0001018294 212343.057 194510.888 204671.484 1.09205 -5.89967 -0.06846 0.0002562328 -0.57765 19.017 0.000813 810.297 286.386 0.00007988619 0.00024158746 0.0000875603 0.0001020761 212173.366 194528.802 204496.763 1.15219 -6.22416 -0.07059 0.0002559844 -0.63470 20.023 0.000856 810.125 286.432 0.00007938840 0.00024215393 0.0000870609 0.0001023141 212015.769 194562.609 204336.660 1.21213 -6.54771 -0.07255 0.0002557230 -0.69426 21.006 0.000898 809.970 286.483 0.00007890215 0.00024270121 0.0000865692 0.0001025380 211873.506 194610.944 204194.399 1.27045 -6.86277 -0.07429 0.0002554552 -0.75484 22.012 0.000941 809.825 286.541 0.00007840436 0.00024325527 0.0000860618 0.0001027585 211739.799 194676.081 204063.213 1.32993 -7.18428 -0.07590 0.0002551684 -0.81932 23.018 0.000984 809.692 286.605 0.00007790670 0.00024380291 0.0000855507 0.0001029701 211618.173 194757.025 203946.672 1.38915 -7.50468 -0.07732 0.0002548688 -0.88627 24.001 0.001026 809.575 286.673 0.00007742085 0.00024433153 0.0000850479 0.0001031680 211511.040 194851.322 203846.992 1.44673 -7.81650 -0.07854 0.0002545640 -0.95402 25.007 0.001069 809.468 286.749 0.00007692373 0.00024486620 0.0000845298 0.0001033617 211413.300 194963.438 203759.443 1.50540 -8.13453 -0.07961 0.0002542395 -1.02579 26.014 0.001112 809.375 286.831 0.00007642704 0.00024539415 0.0000840083 0.0001035463 211327.654 195091.287 203686.587 1.56375 -8.45126 -0.08050 0.0002539026 -1.09996 27.020 0.001155 809.294 286.919 0.00007593085 0.00024591528 0.0000834836 0.0001037217 211254.109 195234.845 203628.446 1.62178 -8.76663 -0.08121 0.0002535533 -1.17653 28.003 0.001197 809.228 287.011 0.00007544678 0.00024641760 0.0000829683 0.0001038840 211193.972 195390.210 203585.886 1.67812 -9.07331 -0.08174 0.0002532003 -1.25362 29.009 0.001240 809.174 287.110 0.00007495187 0.00024692494 0.0000824379 0.0001040411 211144.394 195564.759 203556.909 1.73545 -9.38584 -0.08209 0.0002528270 -1.33487 30.015 0.001283 809.133 287.216 0.00007445776 0.00024742514 0.0000819048 0.0001041888 211106.969 195754.954 203542.729 1.79240 -9.69682 -0.08226 0.0002524416 -1.41846 31.021 0.001326 809.106 287.327 0.00007396453 0.00024791808 0.0000813692 0.0001043271 211081.722 195960.775 203543.381 1.84895 -10.00620 -0.08226 0.0002520443 -1.50438 32.004 0.001368 809.091 287.441 0.00007348373 0.00024839245 0.0000808438 0.0001044532 211068.846 196176.877 203558.372 1.90378 -10.30678 -0.08207 0.0002516450 -1.59052 33.010 0.001411 809.090 287.564 0.00007299256 0.00024887072 0.0000803037 0.0001045728 211067.759 196413.530 203588.457 1.95948 -10.61281 -0.08170 0.0002512245 -1.68097 34.016 0.001454 809.102 287.693 0.00007250257 0.00024934139 0.0000797616 0.0001046830 211078.947 196665.753 203633.496 2.01473 -10.91705 -0.08115 0.0002507926 -1.77369 35.023 0.001497 809.128 287.827 0.00007201386 0.00024980434 0.0000792176 0.0001047836 211102.452 196933.526 203693.538 2.06950 -11.21942 -0.08042 0.0002503493 -1.86866 36.005 0.001539 809.166 287.963 0.00007153785 0.00025024896 0.0000786847 0.0001048727 211137.346 197210.065 203766.719 2.12253 -11.51291 -0.07952 0.0002499054 -1.96357 37.012 0.001582 809.218 288.109 0.00007105198 0.00025069629 0.0000781376 0.0001049543 211185.341 197508.521 203856.578 2.17630 -11.81141 -0.07842 0.0002494399 -2.06293 38.018 0.001625 809.284 288.260 0.00007056770 0.00025113551 0.0000775891 0.0001050264 211245.806 197822.471 203961.610 2.22955 -12.10784 -0.07714 0.0002489635 -2.16448 39.001 0.001667 809.362 288.413 0.00007009631 0.00025155659 0.0000770523 0.0001050875 211316.963 198144.058 204078.910 2.28102 -12.39533 -0.07570 0.0002484878 -2.26577 40.007 0.001710 809.455 288.575 0.00006961547 0.00025197942 0.0000765016 0.0001051405 211402.268 198488.574 204214.133 2.33315 -12.68748 -0.07405 0.0002479901 -2.37159 41.013 0.001753 809.562 288.742 0.00006913653 0.00025239375 0.0000759502 0.0001051838 211500.246 198848.523 204364.739 2.38470 -12.97736 -0.07221 0.0002474819 -2.47955 42.019 0.001796 809.683 288.916 0.00006865960 0.00025279945 0.0000753980 0.0001052174 211610.977 199223.880 204530.810 2.43563 -13.26489 -0.07018 0.0002469634 -2.58962 43.002 0.001838 809.814 289.090 0.00006819581 0.00025318722 0.0000748582 0.0001052408 211731.528 199605.360 204708.030 2.48476 -13.54339 -0.06801 0.0002464471 -2.69915 44.008 0.001881 809.962 289.274 0.00006772316 0.00025357540 0.0000743052 0.0001052553 211867.731 200011.104 204904.929 2.53442 -13.82607 -0.06560 0.0002459085 -2.81334 45.014 0.001924 810.125 289.463 0.00006725286 0.00025395450 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825.557 289.161 0.00009736419 0.00021720856 0.0001018249 0.0000880643 226555.432 204691.037 220584.374 5.62323 5.87194 4.08998 0.0002562372 2.42049 343.013 0.014659 824.912 288.963 0.00009692965 0.00021794502 0.0001015694 0.0000885549 225935.026 204106.951 219880.514 5.68094 5.54984 4.08137 0.0002564723 2.46303 344.020 0.014702 824.280 288.771 0.00009649181 0.00021867834 0.0001013053 0.0000890410 225327.860 203540.912 219191.678 5.73894 5.22673 4.07294 0.0002566943 2.50259 345.002 0.014744 823.674 288.591 0.00009606105 0.00021939149 0.0001010391 0.0000895112 224747.561 203005.377 218533.359 5.79585 4.91020 4.06489 0.0002568983 2.53834 346.009 0.014787 823.066 288.414 0.00009561694 0.00022011835 0.0001007583 0.0000899878 224166.456 202474.762 217874.201 5.85439 4.58524 4.05682 0.0002570941 2.57201 347.015 0.014830 822.471 288.244 0.00009516980 0.00022084181 0.0001004692 0.0000904594 223598.477 201961.941 217230.042 5.91319 4.25943 4.04894 0.0002572766 2.60272 348.021 0.014873 821.889 288.081 0.00009471971 0.00022156179 0.0001001718 0.0000909258 223043.585 201466.832 216600.873 5.97223 3.93283 4.04125 0.0002574457 2.63047 349.004 0.014915 821.332 287.928 0.00009427733 0.00022226158 0.0000998735 0.0000913763 222514.192 201000.256 216000.793 6.03012 3.61311 4.03390 0.0002575979 2.65473 350.010 0.014958 820.775 287.779 0.00009382168 0.00022297442 0.0000995601 0.0000918322 221985.049 200539.918 215401.216 6.08962 3.28510 4.02657 0.0002577403 2.67668 351.016 0.015001 820.230 287.637 0.00009336336 0.00022368353 0.0000992388 0.0000922825 221468.874 200097.052 214816.588 6.14932 2.95646 4.01942 0.0002578693 2.69569 352.022 0.015044 819.698 287.501 0.00009290244 0.00022438882 0.0000989096 0.0000927270 220965.624 199671.579 214246.894 6.20923 2.62724 4.01245 0.0002579846 2.71180 353.005 0.015086 819.191 287.376 0.00009244982 0.00022507395 0.0000985805 0.0000931556 220486.519 199272.718 213704.852 6.26793 2.30518 4.00582 0.0002580842 2.72473 354.011 0.015129 818.685 287.254 0.00009198405 0.00022577145 0.0000982361 0.0000935885 220008.703 198881.404 213164.632 6.32819 1.97499 3.99921 0.0002581726 2.73511 355.018 0.015172 818.191 287.139 0.00009151594 0.00022646491 0.0000978841 0.0000940153 219543.694 198507.259 212639.299 6.38862 1.64438 3.99278 0.0002582474 2.74262 356.000 0.015214 817.721 287.033 0.00009105656 0.00022713824 0.0000975332 0.0000944261 219101.824 198158.321 212140.536 6.44780 1.32111 3.98668 0.0002583073 2.74719 357.007 0.015257 817.253 286.932 0.00009058411 0.00022782343 0.0000971666 0.0000948403 218662.014 197817.906 211644.576 6.50851 0.98985 3.98061 0.0002583550 2.74904 358.013 0.015300 816.797 286.837 0.00009010960 0.00022850432 0.0000967928 0.0000952481 218234.893 197494.451 211163.450 6.56936 0.65833 3.97473 0.0002583890 2.74805 359.019 0.015343 816.355 286.749 0.00008963311 0.00022918084 0.0000964119 0.0000956493 217820.423 197187.889 210697.140 6.63031 0.32662 3.96902 0.0002584092 2.74424 360.002 0.015385 815.935 286.669 0.00008916587 0.00022983733 0.0000960331 0.0000960346 217427.767 196904.702 210255.961 6.68995 0.00247 3.96363 0.0002584157 2.73779 Engine speed (Hz) = 65.0000000000 Output power (W) = 177.9442967951 Heat into heater (W) = 434.8466327742 Heat to regenerator (W) = 0.1606369642 Heat removal from cooler (W) = 257.6357913689 Approximate Pumping loss (W) = -172.8567636858 Thermal efficiency (%) = 40.9211624015 The average engine pressure (Pa) = 274243.7109330951 The exp space work per cycle (J) = 6.6932407363 The comp space work per cycle (J) = -3.9556361702 The net work per cycle (J) = 2.7376045661 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.7708678580 The expansion work for Vmin-to-Vmax (J) = 25.5084724240 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.009 0.000000 816.667 286.723 0.00008926507 0.00022963317 0.0000960302 0.0000960375 217871.680 196760.513 210500.652 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.007 0.000042 816.255 286.649 0.00008878889 0.00023029580 0.0000956388 0.0000964220 217486.496 196490.892 210065.986 0.06031 -0.32930 -0.00532 0.0002584089 -0.00953 2.005 0.000084 815.856 286.582 0.00008831097 0.00023095395 0.0000952408 0.0000967996 217113.560 196237.738 209645.808 0.12069 -0.65866 -0.01046 0.0002583885 -0.02180 3.003 0.000126 815.469 286.521 0.00008783142 0.00023160754 0.0000948363 0.0000971702 216752.836 196000.994 209240.102 0.18113 -0.98804 -0.01542 0.0002583546 -0.03680 4.001 0.000168 815.095 286.467 0.00008735031 0.00023225648 0.0000944254 0.0000975338 216404.288 195780.602 208848.852 0.24161 -1.31738 -0.02021 0.0002583072 -0.05453 5.023 0.000211 814.725 286.418 0.00008685621 0.00023291598 0.0000939982 0.0000978985 216060.019 195571.845 208463.247 0.30357 -1.65447 -0.02492 0.0002582447 -0.07547 6.021 0.000253 814.377 286.377 0.00008637221 0.00023355529 0.0000935747 0.0000982473 215736.007 195384.378 208101.206 0.36411 -1.98357 -0.02935 0.0002581700 -0.09865 7.019 0.000295 814.041 286.343 0.00008588690 0.00023418972 0.0000931453 0.0000985886 215424.068 195213.101 207753.577 0.42465 -2.31247 -0.03361 0.0002580819 -0.12450 8.016 0.000337 813.718 286.314 0.00008540037 0.00023481918 0.0000927099 0.0000989225 215124.170 195057.964 207420.346 0.48518 -2.64113 -0.03768 0.0002579804 -0.15301 9.014 0.000379 813.407 286.293 0.00008491272 0.00023544361 0.0000922688 0.0000992487 214836.284 194918.919 207101.501 0.54568 -2.96948 -0.04158 0.0002578655 -0.18417 10.012 0.000421 813.109 286.277 0.00008442402 0.00023606291 0.0000918221 0.0000995672 214560.379 194795.919 206797.030 0.60615 -3.29748 -0.04531 0.0002577373 -0.21796 11.010 0.000463 812.824 286.268 0.00008393436 0.00023667702 0.0000913699 0.0000998779 214296.428 194688.919 206506.924 0.66656 -3.62507 -0.04886 0.0002575957 -0.25437 12.008 0.000505 812.551 286.265 0.00008344383 0.00023728583 0.0000909123 0.0001001806 214044.404 194597.876 206231.174 0.72690 -3.95219 -0.05223 0.0002574409 -0.29337 13.006 0.000547 812.291 286.268 0.00008295251 0.00023788928 0.0000904496 0.0001004753 213804.283 194522.749 205969.772 0.78715 -4.27881 -0.05543 0.0002572729 -0.33496 14.004 0.000589 812.043 286.278 0.00008246050 0.00023848728 0.0000899818 0.0001007619 213576.041 194463.498 205722.712 0.84730 -4.60485 -0.05845 0.0002570917 -0.37912 15.002 0.000631 811.809 286.293 0.00008196787 0.00023907973 0.0000895091 0.0001010403 213359.657 194420.084 205489.989 0.90734 -4.93027 -0.06130 0.0002568974 -0.42584 16.024 0.000674 811.582 286.316 0.00008146296 0.00023968047 0.0000890201 0.0001013168 213150.384 194392.007 205266.575 0.96867 -5.26273 -0.06403 0.0002566850 -0.47630 17.022 0.000716 811.373 286.344 0.00008096936 0.00024026146 0.0000885379 0.0001015784 212957.940 194380.536 205062.861 1.02843 -5.58673 -0.06652 0.0002564643 -0.52813 18.019 0.000758 811.176 286.378 0.00008047540 0.00024083666 0.0000880511 0.0001018316 212777.299 194384.796 204873.479 1.08802 -5.90993 -0.06884 0.0002562307 -0.58247 19.017 0.000800 810.993 286.419 0.00007998119 0.00024140596 0.0000875601 0.0001020762 212608.449 194404.757 204698.432 1.14743 -6.23229 -0.07098 0.0002559843 -0.63931 20.015 0.000842 810.822 286.465 0.00007948680 0.00024196928 0.0000870648 0.0001023123 212451.379 194440.388 204537.725 1.20664 -6.55374 -0.07295 0.0002557251 -0.69861 21.013 0.000884 810.664 286.518 0.00007899233 0.00024252653 0.0000865655 0.0001025396 212306.079 194491.658 204391.363 1.26564 -6.87425 -0.07474 0.0002554532 -0.76037 22.011 0.000926 810.518 286.576 0.00007849787 0.00024307762 0.0000860624 0.0001027583 212172.543 194558.541 204259.355 1.32442 -7.19373 -0.07635 0.0002551687 -0.82457 23.009 0.000968 810.385 286.641 0.00007800350 0.00024362245 0.0000855555 0.0001029682 212050.768 194641.010 204141.713 1.38294 -7.51215 -0.07779 0.0002548716 -0.89120 24.007 0.001010 810.265 286.711 0.00007750933 0.00024416092 0.0000850450 0.0001031692 211940.752 194739.039 204038.448 1.44120 -7.82944 -0.07905 0.0002545622 -0.96023 25.005 0.001052 810.158 286.788 0.00007701543 0.00024469294 0.0000845311 0.0001033612 211842.497 194852.605 203949.577 1.49918 -8.14554 -0.08014 0.0002542403 -1.03165 26.003 0.001094 810.064 286.870 0.00007652190 0.00024521841 0.0000840139 0.0001035443 211756.008 194981.683 203875.118 1.55687 -8.46039 -0.08105 0.0002539063 -1.10544 27.001 0.001136 809.982 286.958 0.00007602884 0.00024573722 0.0000834936 0.0001037184 211681.293 195126.252 203815.091 1.61423 -8.77394 -0.08179 0.0002535601 -1.18159 28.022 0.001179 809.912 287.055 0.00007552461 0.00024626139 0.0000829579 0.0001038872 211617.008 195290.289 203768.612 1.67262 -9.09354 -0.08235 0.0002531931 -1.26197 29.020 0.001221 809.857 287.155 0.00007503277 0.00024676641 0.0000824318 0.0001040428 211566.159 195466.143 203737.870 1.72930 -9.40426 -0.08273 0.0002528226 -1.34282 30.018 0.001263 809.814 287.260 0.00007454168 0.00024726447 0.0000819031 0.0001041893 211527.129 195657.426 203721.642 1.78561 -9.71350 -0.08293 0.0002524404 -1.42598 31.016 0.001305 809.784 287.372 0.00007405143 0.00024775544 0.0000813719 0.0001043265 211499.940 195864.117 203719.960 1.84153 -10.02118 -0.08295 0.0002520464 -1.51142 32.014 0.001347 809.767 287.489 0.00007356212 0.00024823922 0.0000808384 0.0001044544 211484.617 196086.198 203732.861 1.89705 -10.32725 -0.08279 0.0002516408 -1.59913 33.012 0.001389 809.764 287.612 0.00007307384 0.00024871569 0.0000803027 0.0001045730 211481.192 196323.650 203760.385 1.95214 -10.63164 -0.08245 0.0002512238 -1.68908 34.010 0.001431 809.773 287.741 0.00007258670 0.00024918473 0.0000797651 0.0001046823 211489.699 196576.455 203802.576 2.00679 -10.93429 -0.08194 0.0002507954 -1.78127 35.008 0.001473 809.795 287.875 0.00007210078 0.00024964624 0.0000792256 0.0001047822 211510.177 196844.595 203859.480 2.06098 -11.23513 -0.08124 0.0002503558 -1.87566 36.006 0.001515 809.830 288.015 0.00007161620 0.00025010007 0.0000786845 0.0001048727 211542.670 197128.052 203931.150 2.11470 -11.53410 -0.08037 0.0002499052 -1.97224 37.004 0.001557 809.879 288.160 0.00007113305 0.00025054612 0.0000781419 0.0001049537 211587.227 197426.806 204017.640 2.16791 -11.83113 -0.07931 0.0002494437 -2.07100 38.002 0.001599 809.941 288.312 0.00007065143 0.00025098426 0.0000775980 0.0001050253 211643.901 197740.840 204119.010 2.22061 -12.12615 -0.07807 0.0002489713 -2.17191 39.023 0.001642 810.018 288.472 0.00007016004 0.00025142449 0.0000770399 0.0001050888 211714.541 198078.159 204238.277 2.27401 -12.42604 -0.07661 0.0002484767 -2.27743 40.021 0.001684 810.106 288.634 0.00006968184 0.00025184620 0.0000764938 0.0001051411 211795.927 198423.054 204369.964 2.32560 -12.71679 -0.07500 0.0002479829 -2.38264 41.019 0.001726 810.209 288.802 0.00006920548 0.00025225960 0.0000759468 0.0001051840 211889.629 198783.167 204516.740 2.37662 -13.00532 -0.07320 0.0002474788 -2.48995 42.017 0.001768 810.324 288.975 0.00006873107 0.00025266454 0.0000753992 0.0001052173 211995.722 199158.475 204678.685 2.42704 -13.29156 -0.07122 0.0002469645 -2.59933 43.015 0.001810 810.453 289.153 0.00006825872 0.00025306089 0.0000748511 0.0001052411 212114.292 199548.955 204855.882 2.47684 -13.57544 -0.06905 0.0002464402 -2.71077 44.013 0.001852 810.596 289.337 0.00006778853 0.00025344848 0.0000743026 0.0001052553 212245.429 199954.581 205048.423 2.52602 -13.85688 -0.06670 0.0002459060 -2.82425 45.011 0.001894 810.752 289.526 0.00006732061 0.00025382719 0.0000737540 0.0001052600 212389.231 200375.326 205256.403 2.57453 -14.13581 -0.06415 0.0002453620 -2.93975 46.009 0.001936 810.923 289.720 0.00006685508 0.00025419684 0.0000732054 0.0001052551 212545.803 200811.161 205479.926 2.62237 -14.41215 -0.06142 0.0002448085 -3.05724 47.007 0.001978 811.107 289.920 0.00006639204 0.00025455728 0.0000726570 0.0001052407 212715.258 201262.053 205719.100 2.66952 -14.68583 -0.05849 0.0002442457 -3.17671 48.005 0.002020 811.305 290.125 0.00006593160 0.00025490836 0.0000721089 0.0001052167 212897.718 201727.967 205974.042 2.71594 -14.95676 -0.05537 0.0002436736 -3.29813 49.002 0.002062 811.517 290.335 0.00006547388 0.00025524990 0.0000715613 0.0001051832 213093.314 202208.866 206244.875 2.76163 -15.22488 -0.05206 0.0002430925 -3.42149 50.000 0.002104 811.744 290.550 0.00006501900 0.00025558173 0.0000710143 0.0001051401 213302.184 202704.706 206531.730 2.80656 -15.49008 -0.04855 0.0002425025 -3.54677 51.022 0.002147 811.991 290.775 0.00006455635 0.00025591123 0.0000704552 0.0001050862 213529.935 203227.785 206842.162 2.85176 -15.75851 -0.04475 0.0002418894 -3.67699 52.020 0.002189 812.247 291.000 0.00006410756 0.00025622287 0.0000699102 0.0001050239 213766.136 203753.720 207161.882 2.89509 -16.01758 -0.04084 0.0002412820 -3.80608 53.018 0.002231 812.517 291.231 0.00006366197 0.00025652425 0.0000693663 0.0001049521 214016.095 204294.443 207498.076 2.93759 -16.27349 -0.03673 0.0002406663 -3.93702 54.016 0.002273 812.803 291.466 0.00006321968 0.00025681518 0.0000688237 0.0001048708 214279.992 204849.893 207850.914 2.97925 -16.52616 -0.03241 0.0002400425 -4.06978 55.014 0.002315 813.103 291.706 0.00006278084 0.00025709546 0.0000682826 0.0001047801 214558.023 205420.001 208220.574 3.02004 -16.77548 -0.02789 0.0002394107 -4.20436 56.012 0.002357 813.419 291.951 0.00006234555 0.00025736488 0.0000677432 0.0001046800 214850.392 206004.690 208607.250 3.05994 -17.02138 -0.02316 0.0002387712 -4.34072 57.010 0.002399 813.750 292.200 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0.00009208515 0.00022556835 0.0000982367 0.0000935877 220429.457 198716.044 213402.403 6.29721 1.97323 4.02522 0.0002581725 2.67719 355.008 0.014941 818.868 287.157 0.00009162117 0.00022625628 0.0000978877 0.0000940110 219969.892 198346.118 212880.340 6.35683 1.64544 4.01883 0.0002582467 2.68443 356.005 0.014983 818.393 287.050 0.00009115495 0.00022694018 0.0000975314 0.0000944281 219522.806 197993.049 212372.867 6.41659 1.31727 4.01262 0.0002583075 2.68886 357.003 0.015025 817.930 286.950 0.00009068658 0.00022761999 0.0000971678 0.0000948390 219088.161 197656.767 211879.966 6.47649 0.98878 4.00659 0.0002583548 2.69047 358.001 0.015067 817.481 286.857 0.00009021613 0.00022829563 0.0000967971 0.0000952435 218665.917 197337.206 211401.621 6.53652 0.66001 4.00074 0.0002583886 2.68929 359.023 0.015110 817.033 286.768 0.00008973243 0.00022898294 0.0000964104 0.0000956508 218246.427 197027.290 210926.948 6.59809 0.32318 3.99494 0.0002584093 2.68520 360.021 0.015152 816.609 286.688 0.00008925806 0.00022964989 0.0000960257 0.0000960420 217849.161 196741.368 210478.007 6.65834 -0.00599 3.98944 0.0002584157 2.67840 Engine speed (Hz) = 66.0000000000 Output power (W) = 176.7613167678 Heat into heater (W) = 439.4503386457 Heat to regenerator (W) = -0.3954436313 Heat removal from cooler (W) = 263.3032432893 Approximate Pumping loss (W) = -180.1291684668 Thermal efficiency (%) = 40.2232746737 The average engine pressure (Pa) = 274330.5188780566 The exp space work per cycle (J) = 6.6578891824 The comp space work per cycle (J) = -3.9796874132 The net work per cycle (J) = 2.6782017692 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.8035704838 The expansion work for Vmin-to-Vmax (J) = 25.4817722530 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.009 0.000000 817.356 286.741 0.00008936693 0.00022943155 0.0000960302 0.0000960375 218304.233 196600.485 210733.197 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.022 0.000042 816.940 286.667 0.00008888358 0.00023010463 0.0000956328 0.0000964278 217914.629 196328.360 210290.887 0.06090 -0.33433 -0.00541 0.0002584086 -0.00993 2.011 0.000083 816.546 286.601 0.00008840998 0.00023075728 0.0000952384 0.0000968019 217546.390 196079.119 209873.476 0.12043 -0.66080 -0.01052 0.0002583883 -0.02235 3.000 0.000124 816.164 286.542 0.00008793473 0.00023140550 0.0000948375 0.0000971692 217190.057 195846.030 209470.242 0.18002 -0.98730 -0.01545 0.0002583547 -0.03745 4.013 0.000166 815.786 286.487 0.00008744627 0.00023206486 0.0000944203 0.0000975382 216837.341 195623.943 209071.858 0.24112 -1.32176 -0.02032 0.0002583065 -0.05569 5.002 0.000207 815.430 286.441 0.00008696793 0.00023270388 0.0000940069 0.0000978912 216505.001 195423.379 208697.277 0.30079 -1.64818 -0.02491 0.0002582461 -0.07619 6.015 0.000249 815.077 286.400 0.00008647647 0.00023335365 0.0000935770 0.0000982454 216176.789 195234.500 208328.214 0.36194 -1.98245 -0.02942 0.0002581705 -0.09992 7.004 0.000290 814.745 286.366 0.00008599538 0.00023398316 0.0000931515 0.0000985838 215868.300 195066.248 207982.228 0.42165 -2.30860 -0.03365 0.0002580833 -0.12575 8.017 0.000332 814.418 286.338 0.00008550128 0.00023462302 0.0000927096 0.0000989227 215564.451 194910.364 207642.428 0.48280 -2.64247 -0.03781 0.0002579803 -0.15492 9.006 0.000373 814.111 286.317 0.00008501778 0.00023524269 0.0000922725 0.0000992460 215279.679 194774.224 207324.983 0.54247 -2.96812 -0.04169 0.0002578665 -0.18603 10.019 0.000415 813.809 286.302 0.00008452138 0.00023587232 0.0000918190 0.0000995694 215000.061 194651.139 207014.396 0.60357 -3.30137 -0.04549 0.0002577364 -0.22057 11.008 0.000456 813.527 286.293 0.00008403581 0.00023648183 0.0000913709 0.0000998772 214738.883 194546.925 206725.447 0.66316 -3.62632 -0.04903 0.0002575961 -0.25690 12.021 0.000498 813.251 286.291 0.00008353747 0.00023710089 0.0000909064 0.0001001845 214483.374 194456.455 206444.031 0.72413 -3.95874 -0.05247 0.0002574388 -0.29676 13.010 0.000539 812.994 286.295 0.00008305017 0.00023769992 0.0000904477 0.0001004765 214245.677 194383.996 206183.541 0.78357 -4.28277 -0.05566 0.0002572722 -0.33824 14.023 0.000581 812.743 286.306 0.00008255024 0.00023830807 0.0000899728 0.0001007673 214014.170 194325.972 205931.264 0.84437 -4.61414 -0.05874 0.0002570881 -0.38335 15.012 0.000622 812.511 286.322 0.00008206156 0.00023889629 0.0000895043 0.0001010431 213799.853 194285.109 205699.208 0.90361 -4.93703 -0.06158 0.0002568954 -0.42992 16.001 0.000663 812.291 286.345 0.00008157233 0.00023947904 0.0000890310 0.0001013108 213597.054 194259.799 205481.191 0.96272 -5.25929 -0.06425 0.0002566898 -0.47899 17.014 0.000705 812.079 286.374 0.00008107068 0.00024007025 0.0000885415 0.0001015765 213401.231 194249.964 205272.413 1.02312 -5.58868 -0.06680 0.0002564660 -0.53182 18.003 0.000746 811.884 286.409 0.00008058059 0.00024064167 0.0000880593 0.0001018274 213221.690 194256.038 205082.815 1.08194 -5.90947 -0.06912 0.0002562347 -0.58589 19.016 0.000788 811.697 286.451 0.00008007825 0.00024122108 0.0000875608 0.0001020759 213049.658 194278.285 204903.150 1.14200 -6.23726 -0.07132 0.0002559847 -0.64381 20.005 0.000829 811.527 286.498 0.00007958765 0.00024178082 0.0000870700 0.0001023098 212893.315 194315.616 204741.978 1.20045 -6.55637 -0.07329 0.0002557279 -0.70281 21.018 0.000871 811.366 286.552 0.00007908496 0.00024234807 0.0000865632 0.0001025407 212745.021 194369.821 204591.443 1.26011 -6.88232 -0.07513 0.0002554519 -0.76575 22.007 0.000912 811.221 286.611 0.00007859422 0.00024289575 0.0000860646 0.0001027574 212611.832 194438.293 204458.720 1.31813 -7.19953 -0.07676 0.0002551699 -0.82962 23.020 0.000954 811.085 286.678 0.00007809156 0.00024345047 0.0000855500 0.0001029704 212487.242 194524.344 204337.347 1.37732 -7.52341 -0.07824 0.0002548684 -0.89751 24.009 0.000995 810.966 286.749 0.00007760103 0.00024398572 0.0000850441 0.0001031695 212377.183 194623.852 204233.115 1.43484 -7.83848 -0.07952 0.0002545616 -0.96618 25.022 0.001037 810.856 286.827 0.00007709878 0.00024452750 0.0000845223 0.0001033644 212276.286 194741.645 204140.956 1.49349 -8.16005 -0.08064 0.0002542348 -1.03895 26.011 0.001078 810.761 286.910 0.00007660882 0.00024504993 0.0000840098 0.0001035458 212189.358 194872.093 204065.276 1.55045 -8.47275 -0.08157 0.0002539036 -1.11235 27.024 0.001120 810.677 287.001 0.00007610734 0.00024557837 0.0000834816 0.0001037223 212112.164 195021.534 204002.404 1.60848 -8.79178 -0.08234 0.0002535519 -1.18993 28.013 0.001161 810.607 287.095 0.00007561833 0.00024608757 0.0000829630 0.0001038856 212048.390 195182.833 203955.357 1.66481 -9.10187 -0.08291 0.0002531967 -1.26799 29.002 0.001202 810.550 287.195 0.00007512992 0.00024659007 0.0000824417 0.0001040400 211996.072 195359.342 203922.492 1.72080 -9.41059 -0.08332 0.0002528297 -1.34832 30.015 0.001244 810.505 287.304 0.00007463032 0.00024709779 0.0000819050 0.0001041888 211954.371 195555.906 203903.561 1.77779 -9.72535 -0.08355 0.0002524418 -1.43296 31.004 0.001285 810.473 287.415 0.00007414343 0.00024758643 0.0000813786 0.0001043248 211925.295 195763.146 203899.496 1.83304 -10.03110 -0.08360 0.0002520514 -1.51785 32.017 0.001327 810.453 287.535 0.00007364557 0.00024807972 0.0000808370 0.0001044547 211907.450 195991.153 203910.137 1.88923 -10.34268 -0.08347 0.0002516398 -1.60712 33.006 0.001368 810.447 287.658 0.00007316057 0.00024855405 0.0000803062 0.0001045723 211901.713 196229.051 203935.016 1.94367 -10.64521 -0.08316 0.0002512265 -1.69649 34.019 0.001410 810.454 287.790 0.00007266486 0.00024903244 0.0000797604 0.0001046832 211907.838 196488.425 203975.392 1.99900 -10.95336 -0.08267 0.0002507917 -1.79031 35.007 0.001451 810.473 287.925 0.00007218214 0.00024949199 0.0000792258 0.0001047822 211925.572 196756.908 204029.388 2.05256 -11.25240 -0.08201 0.0002503560 -1.88409 36.021 0.001493 810.506 288.068 0.00007168898 0.00024995500 0.0000786765 0.0001048740 211955.822 197047.576 204099.691 2.10694 -11.55685 -0.08115 0.0002498985 -1.98239 37.009 0.001534 810.551 288.213 0.00007120895 0.00025039930 0.0000781388 0.0001049542 211997.194 197346.571 204183.008 2.15954 -11.85214 -0.08013 0.0002494410 -2.08050 38.022 0.001576 810.610 288.368 0.00007071874 0.00025084641 0.0000775866 0.0001050267 212051.762 197668.458 204283.464 2.21291 -12.15262 -0.07890 0.0002489613 -2.18320 39.011 0.001617 810.681 288.525 0.00007024180 0.00025127493 0.0000770464 0.0001050881 212116.983 197997.890 204396.339 2.26448 -12.44389 -0.07752 0.0002484825 -2.28557 40.000 0.001658 810.765 288.687 0.00006976654 0.00025169547 0.0000765052 0.0001051402 212194.077 198342.329 204523.915 2.31550 -12.73308 -0.07596 0.0002479934 -2.39002 41.013 0.001700 810.865 288.858 0.00006928154 0.00025211784 0.0000759500 0.0001051838 212285.431 198710.705 204669.921 2.36720 -13.02709 -0.07417 0.0002474818 -2.49915 42.002 0.001741 810.975 289.031 0.00006880999 0.00025252179 0.0000754073 0.0001052169 212386.772 199085.457 204827.482 2.41708 -13.31184 -0.07225 0.0002469722 -2.60774 43.015 0.001783 811.101 289.213 0.00006832901 0.00025292689 0.0000748509 0.0001052411 212503.128 199484.840 205004.372 2.46756 -13.60115 -0.07008 0.0002464400 -2.72107 44.004 0.001824 811.238 289.397 0.00006786161 0.00025331370 0.0000743074 0.0001052552 212629.047 199889.811 205192.257 2.51621 -13.88117 -0.06778 0.0002459106 -2.83373 45.017 0.001866 811.392 289.590 0.00006738510 0.00025370093 0.0000737505 0.0001052600 212770.771 200320.096 205400.402 2.56538 -14.16548 -0.06524 0.0002453585 -2.95119 46.006 0.001907 811.556 289.784 0.00006692228 0.00025406999 0.0000732068 0.0001052551 212921.656 200755.175 205618.997 2.61273 -14.44047 -0.06256 0.0002448100 -3.06783 47.019 0.001949 811.738 289.988 0.00006645068 0.00025443871 0.0000726501 0.0001052404 213089.177 201216.240 205858.817 2.66052 -14.71947 -0.05963 0.0002442385 -3.18932 48.008 0.001990 811.930 290.193 0.00006599288 0.00025478938 0.0000721069 0.0001052166 213265.477 201681.298 206108.560 2.70647 -14.98912 -0.05657 0.0002436715 -3.30987 49.021 0.002032 812.140 290.407 0.00006552667 0.00025513892 0.0000715510 0.0001051824 213459.291 202172.997 206380.535 2.75280 -15.26248 -0.05325 0.0002430815 -3.43532 50.010 0.002073 812.359 290.622 0.00006507436 0.00025547053 0.0000710090 0.0001051396 213661.528 202667.880 206661.924 2.79728 -15.52646 -0.04980 0.0002424967 -3.55968 51.023 0.002115 812.598 290.847 0.00006461400 0.00025580020 0.0000704546 0.0001050861 213882.207 203190.039 206966.597 2.84205 -15.79385 -0.04608 0.0002418888 -3.68901 52.012 0.002156 812.846 291.072 0.00006416764 0.00025611204 0.0000699145 0.0001050244 214110.977 203714.559 207280.195 2.88497 -16.05183 -0.04224 0.0002412869 -3.81711 53.001 0.002197 813.108 291.302 0.00006372440 0.00025641383 0.0000693755 0.0001049534 214353.101 204253.637 207609.936 2.92708 -16.30672 -0.03821 0.0002406768 -3.94703 54.014 0.002239 813.391 291.542 0.00006327370 0.00025671238 0.0000688246 0.0001048710 214615.162 204820.896 207964.631 2.96937 -16.56453 -0.03387 0.0002400436 -4.08197 55.003 0.002280 813.682 291.781 0.00006283714 0.00025699326 0.0000682884 0.0001047812 214884.876 205389.253 208327.571 3.00979 -16.81289 -0.02943 0.0002394176 -4.21550 56.016 0.002322 813.996 292.031 0.00006239354 0.00025726995 0.0000677408 0.0001046796 215175.613 205986.353 208716.659 3.05031 -17.06383 -0.02467 0.0002387684 -4.35410 57.005 0.002363 814.317 292.280 0.00006196416 0.00025752907 0.0000672081 0.0001045711 215473.751 206583.679 209113.575 3.08895 -17.30530 -0.01981 0.0002381272 -4.49115 58.018 0.002405 814.662 292.540 0.00006152818 0.00025778303 0.0000666644 0.0001044504 215794.077 207210.271 209537.910 3.12759 -17.54898 -0.01462 0.0002374628 -4.63331 59.007 0.002446 815.014 292.798 0.00006110650 0.00025801949 0.0000661358 0.0001043234 216121.592 207836.184 209969.695 3.16436 -17.78317 -0.00934 0.0002368072 -4.77379 60.020 0.002488 815.391 293.067 0.00006067869 0.00025824975 0.0000655966 0.0001041838 216472.552 208491.831 210430.257 3.20103 -18.01919 -0.00371 0.0002361284 -4.91942 61.009 0.002529 815.775 293.335 0.00006026524 0.00025846257 0.0000650727 0.0001040384 216830.536 209145.859 210897.942 3.23584 -18.24568 0.00202 0.0002354591 -5.06324 62.022 0.002571 816.186 293.613 0.00005984615 0.00025866807 0.0000645387 0.0001038801 217213.328 209830.017 211395.875 3.27044 -18.47360 0.00811 0.0002347668 -5.21224 63.011 0.002612 816.603 293.889 0.00005944151 0.00025885618 0.0000640203 0.0001037164 217603.037 210511.562 211900.672 3.30317 -18.69196 0.01428 0.0002340847 -5.35931 64.024 0.002654 817.047 294.176 0.00005903172 0.00025903576 0.0000634922 0.0001035396 218019.049 211223.545 212437.327 3.33560 -18.91131 0.02085 0.0002333797 -5.51159 65.013 0.002695 817.499 294.460 0.00005863647 0.00025919794 0.0000629797 0.0001033579 218441.947 211931.847 212980.682 3.36616 -19.12108 0.02749 0.0002326857 -5.66181 66.002 0.002736 817.968 294.748 0.00005824608 0.00025934681 0.0000624705 0.0001031674 218881.856 212653.018 213543.718 3.39560 -19.32641 0.03438 0.0002319860 -5.81356 67.015 0.002778 818.467 295.048 0.00005785137 0.00025948513 0.0000619524 0.0001029632 219350.614 213404.829 214141.403 3.42457 -19.53201 0.04169 0.0002312636 -5.97055 68.004 0.002819 818.972 295.343 0.00005747132 0.00025960590 0.0000614501 0.0001027551 219826.418 214151.148 214745.850 3.45166 -19.72794 0.04909 0.0002305532 -6.12529 69.017 0.002861 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826.833 289.190 0.00009755325 0.00021680789 0.0001018250 0.0000880641 227345.886 204334.605 221077.662 5.56850 5.86307 4.14230 0.0002562371 2.30892 343.020 0.014221 826.190 288.991 0.00009711717 0.00021754838 0.0001015677 0.0000885580 226726.506 203748.067 220368.025 5.62593 5.53960 4.13362 0.0002564738 2.35136 344.009 0.014262 825.575 288.803 0.00009668817 0.00021826827 0.0001013082 0.0000890358 226134.696 203193.228 219689.898 5.68227 5.22278 4.12533 0.0002566919 2.38987 345.022 0.014304 824.957 288.617 0.00009624541 0.00021900259 0.0001010338 0.0000895204 225541.549 202642.938 219010.193 5.74026 4.89723 4.11701 0.0002569022 2.42633 346.011 0.014345 824.366 288.444 0.00009581008 0.00021971628 0.0001007577 0.0000899888 224975.267 202123.316 218361.273 5.79713 4.57849 4.10907 0.0002570945 2.45900 347.024 0.014387 823.773 288.273 0.00009536102 0.00022044408 0.0001004666 0.0000904636 224408.187 201608.929 217711.472 5.85565 4.25108 4.10112 0.0002572782 2.48950 348.013 0.014428 823.206 288.113 0.00009491970 0.00022115124 0.0001001743 0.0000909220 223867.270 201124.191 217091.724 5.91302 3.93064 4.09354 0.0002574443 2.51638 349.002 0.014469 822.652 287.959 0.00009447556 0.00022185506 0.0000998742 0.0000913754 223338.823 200656.565 216486.371 5.97062 3.60944 4.08614 0.0002575975 2.54040 350.015 0.014511 822.096 287.810 0.00009401773 0.00022257249 0.0000995586 0.0000918343 222810.373 200195.195 215881.166 6.02985 3.27967 4.07873 0.0002577410 2.56208 351.004 0.014552 821.566 287.670 0.00009356812 0.00022326929 0.0000992428 0.0000922769 222307.043 199761.974 215304.915 6.08787 2.95709 4.07168 0.0002578677 2.58037 352.017 0.014594 821.036 287.534 0.00009310487 0.00022397937 0.0000989115 0.0000927245 221804.238 199335.690 214729.494 6.14752 2.62601 4.06465 0.0002579840 2.59618 353.006 0.014635 820.531 287.409 0.00009265013 0.00022466884 0.0000985804 0.0000931558 221325.858 198936.567 214182.289 6.20594 2.30225 4.05795 0.0002580842 2.60878 354.019 0.014677 820.026 287.287 0.00009218181 0.00022537124 0.0000982336 0.0000935916 220848.526 198545.059 213636.591 6.26595 1.97007 4.05128 0.0002581732 2.61879 355.008 0.014718 819.545 287.174 0.00009172228 0.00022605306 0.0000978877 0.0000940110 220394.930 198179.738 213118.370 6.32471 1.64535 4.04494 0.0002582467 2.62574 356.021 0.014760 819.066 287.066 0.00009124924 0.00022674747 0.0000975259 0.0000944344 219942.900 197822.710 212602.329 6.38505 1.31230 4.03862 0.0002583083 2.62999 357.009 0.014801 818.610 286.967 0.00009078527 0.00022742133 0.0000971655 0.0000948415 219513.920 197490.907 212113.025 6.44409 0.98682 4.03264 0.0002583551 2.63134 358.023 0.014843 818.156 286.873 0.00009030785 0.00022810742 0.0000967892 0.0000952520 219087.024 197168.076 211626.572 6.50471 0.65310 4.02669 0.0002583892 2.62988 359.011 0.014884 817.725 286.787 0.00008983978 0.00022877300 0.0000964148 0.0000956463 218682.498 196869.522 211166.117 6.56399 0.32708 4.02105 0.0002584091 2.62568 360.000 0.014925 817.306 286.708 0.00008936981 0.00022943439 0.0000960337 0.0000960340 218289.993 196587.297 210719.889 6.62338 0.00087 4.01560 0.0002584157 2.61875 Engine speed (Hz) = 67.0000000000 Output power (W) = 175.4429409203 Heat into heater (W) = 443.7664224064 Heat to regenerator (W) = 0.0581454880 Heat removal from cooler (W) = 269.0449170932 Approximate Pumping loss (W) = -187.5531469072 Thermal efficiency (%) = 39.5349742707 The average engine pressure (Pa) = 274390.8991383488 The exp space work per cycle (J) = 6.6259284398 The comp space work per cycle (J) = -4.0073770827 The net work per cycle (J) = 2.6185513570 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.8364760394 The expansion work for Vmin-to-Vmax (J) = 25.4550273964 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.017 0.000001 818.206 286.823 0.00008946328 0.00022922057 0.0000960271 0.0000960406 218773.859 196469.482 211000.429 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.021 0.000042 817.795 286.750 0.00008898446 0.00022988790 0.0000956334 0.0000964272 218389.146 196201.242 210560.970 0.05995 -0.33129 -0.00538 0.0002584087 -0.01008 2.000 0.000082 817.407 286.685 0.00008851556 0.00023053468 0.0000952429 0.0000967977 218025.592 195955.674 210146.289 0.11851 -0.65461 -0.01045 0.0002583886 -0.02259 3.004 0.000123 817.021 286.625 0.00008803322 0.00023119318 0.0000948360 0.0000971705 217664.979 195720.440 209735.633 0.17860 -0.98609 -0.01547 0.0002583545 -0.03815 4.008 0.000164 816.648 286.571 0.00008754923 0.00023184708 0.0000944227 0.0000975361 217316.506 195501.824 209339.531 0.23875 -1.31758 -0.02032 0.0002583068 -0.05646 5.011 0.000205 816.288 286.524 0.00008706366 0.00023249632 0.0000940031 0.0000978944 216980.134 195299.770 208957.969 0.29893 -1.64903 -0.02499 0.0002582455 -0.07751 6.015 0.000246 815.939 286.484 0.00008657662 0.00023314081 0.0000935772 0.0000982453 216655.824 195114.224 208590.929 0.35914 -1.98039 -0.02948 0.0002581705 -0.10128 7.019 0.000287 815.604 286.450 0.00008608818 0.00023378047 0.0000931453 0.0000985886 216343.540 194945.132 208238.399 0.41936 -2.31160 -0.03379 0.0002580819 -0.12776 8.022 0.000328 815.281 286.423 0.00008559843 0.00023441522 0.0000927074 0.0000989244 216043.245 194792.443 207900.363 0.47957 -2.64262 -0.03792 0.0002579798 -0.15694 9.001 0.000368 814.978 286.403 0.00008511945 0.00023502968 0.0000922746 0.0000992445 215761.797 194659.240 207584.530 0.53830 -2.96532 -0.04179 0.0002578671 -0.18798 10.005 0.000409 814.680 286.388 0.00008462737 0.00023565450 0.0000918253 0.0000995649 215485.089 194538.815 207275.094 0.59847 -3.29578 -0.04557 0.0002577383 -0.22244 11.009 0.000450 814.394 286.380 0.00008413424 0.00023627416 0.0000913705 0.0000998774 215220.272 194434.653 206980.118 0.65858 -3.62589 -0.04918 0.0002575960 -0.25954 12.012 0.000491 814.121 286.378 0.00008364015 0.00023688858 0.0000909103 0.0001001819 214967.315 194346.710 206699.593 0.71864 -3.95559 -0.05261 0.0002574402 -0.29927 13.016 0.000532 813.861 286.383 0.00008314519 0.00023749768 0.0000904449 0.0001004782 214726.188 194274.944 206433.510 0.77862 -4.28482 -0.05587 0.0002572711 -0.34163 14.020 0.000573 813.613 286.394 0.00008264944 0.00023810138 0.0000899743 0.0001007664 214496.865 194219.313 206181.862 0.83850 -4.61352 -0.05895 0.0002570887 -0.38658 15.024 0.000614 813.377 286.412 0.00008215299 0.00023869958 0.0000894988 0.0001010463 214279.319 194179.781 205944.645 0.89828 -4.94165 -0.06185 0.0002568931 -0.43412 16.003 0.000654 813.160 286.435 0.00008166807 0.00023927782 0.0000890302 0.0001013113 214078.407 194156.691 205727.115 0.95647 -5.26117 -0.06451 0.0002566894 -0.48297 17.006 0.000695 812.949 286.465 0.00008117050 0.00023986491 0.0000885452 0.0001015745 213884.061 194148.855 205518.395 1.01599 -5.58799 -0.06706 0.0002564677 -0.53557 18.010 0.000736 812.751 286.501 0.00008067251 0.00024044625 0.0000880557 0.0001018292 213701.427 194157.011 205324.099 1.07535 -5.91408 -0.06944 0.0002562330 -0.59070 19.014 0.000777 812.566 286.543 0.00008017418 0.00024102174 0.0000875619 0.0001020753 213530.488 194181.128 205144.228 1.13454 -6.23936 -0.07164 0.0002559852 -0.64835 20.017 0.000818 812.393 286.591 0.00007967559 0.00024159130 0.0000870638 0.0001023128 213371.228 194221.175 204978.786 1.19353 -6.56378 -0.07366 0.0002557245 -0.70851 21.021 0.000859 812.232 286.646 0.00007917684 0.00024215482 0.0000865616 0.0001025414 213223.633 194277.123 204827.778 1.25233 -6.88729 -0.07551 0.0002554510 -0.77115 22.000 0.000899 812.088 286.705 0.00007869020 0.00024269869 0.0000860678 0.0001027560 213090.871 194347.002 204694.371 1.30948 -7.20198 -0.07714 0.0002551718 -0.83464 23.004 0.000940 811.953 286.772 0.00007819141 0.00024325001 0.0000855580 0.0001029671 212966.295 194434.282 204571.904 1.36782 -7.52351 -0.07864 0.0002548732 -0.90214 24.008 0.000981 811.830 286.845 0.00007769273 0.00024379502 0.0000850446 0.0001031693 212853.361 194537.383 204463.902 1.42590 -7.84395 -0.07996 0.0002545619 -0.97207 25.011 0.001022 811.720 286.924 0.00007719426 0.00024433360 0.0000845277 0.0001033625 212752.068 194656.281 204370.379 1.48372 -8.16325 -0.08111 0.0002542382 -1.04442 26.015 0.001063 811.622 287.008 0.00007669610 0.00024486566 0.0000840075 0.0001035465 212662.415 194790.953 204291.354 1.54124 -8.48133 -0.08207 0.0002539021 -1.11917 27.019 0.001104 811.537 287.099 0.00007619833 0.00024539110 0.0000834842 0.0001037215 212584.407 194941.376 204226.845 1.59846 -8.79815 -0.08286 0.0002535537 -1.19629 28.022 0.001145 811.465 287.196 0.00007570106 0.00024590981 0.0000829579 0.0001038872 212518.052 195107.530 204176.878 1.65535 -9.11363 -0.08347 0.0002531931 -1.27578 29.002 0.001185 811.407 287.296 0.00007521648 0.00024640928 0.0000824417 0.0001040400 212464.554 195284.771 204142.167 1.71053 -9.42007 -0.08390 0.0002528297 -1.35559 30.005 0.001226 811.359 287.405 0.00007472047 0.00024691437 0.0000819100 0.0001041874 212421.255 195481.942 204121.008 1.76673 -9.73274 -0.08416 0.0002524454 -1.43970 31.009 0.001267 811.325 287.519 0.00007422523 0.00024741240 0.0000813757 0.0001043255 212389.652 195694.785 204114.477 1.82255 -10.04389 -0.08424 0.0002520493 -1.52611 32.013 0.001308 811.303 287.639 0.00007373088 0.00024790327 0.0000808392 0.0001044542 212369.767 195923.280 204122.611 1.87798 -10.35346 -0.08414 0.0002516414 -1.61480 33.016 0.001349 811.294 287.765 0.00007323751 0.00024838685 0.0000803004 0.0001045735 212361.629 196167.409 204145.450 1.93299 -10.66138 -0.08386 0.0002512219 -1.70577 34.020 0.001390 811.298 287.897 0.00007274521 0.00024886301 0.0000797597 0.0001046834 212365.268 196427.155 204183.039 1.98757 -10.96758 -0.08340 0.0002507910 -1.79899 35.024 0.001431 811.315 288.034 0.00007225410 0.00024933165 0.0000792171 0.0001047837 212380.720 196702.498 204235.423 2.04170 -11.27200 -0.08276 0.0002503488 -1.89445 36.003 0.001471 811.344 288.174 0.00007177621 0.00024978149 0.0000786861 0.0001048724 212407.220 196986.140 204300.838 2.09405 -11.56721 -0.08196 0.0002499065 -1.98970 37.007 0.001512 811.386 288.323 0.00007128773 0.00025023489 0.0000781403 0.0001049539 212446.137 197292.245 204382.611 2.14723 -11.86791 -0.08096 0.0002494423 -2.08951 38.010 0.001553 811.441 288.477 0.00007080075 0.00025068037 0.0000775933 0.0001050259 212497.006 197613.892 204479.346 2.19990 -12.16663 -0.07977 0.0002489672 -2.19149 39.014 0.001594 811.510 288.637 0.00007031536 0.00025111782 0.0000770450 0.0001050882 212559.883 197951.063 204591.110 2.25204 -12.46328 -0.07841 0.0002484813 -2.29563 40.018 0.001635 811.591 288.803 0.00006983167 0.00025154709 0.0000764957 0.0001051410 212634.833 198303.736 204717.972 2.30364 -12.75781 -0.07685 0.0002479847 -2.40190 41.021 0.001676 811.686 288.974 0.00006934979 0.00025196804 0.0000759456 0.0001051841 212721.925 198671.891 204860.008 2.35466 -13.05014 -0.07512 0.0002474777 -2.51029 42.000 0.001716 811.791 289.147 0.00006888151 0.00025237058 0.0000754083 0.0001052168 212818.667 199045.964 205013.280 2.40388 -13.33314 -0.07324 0.0002469731 -2.61805 43.004 0.001757 811.912 289.329 0.00006840353 0.00025277467 0.0000748570 0.0001052409 212929.978 199444.635 205185.536 2.45372 -13.62090 -0.07113 0.0002464459 -2.73056 44.008 0.001798 812.046 289.516 0.00006792768 0.00025317001 0.0000743054 0.0001052553 213053.677 199858.716 205373.223 2.50294 -13.90623 -0.06884 0.0002459087 -2.84513 45.012 0.001839 812.194 289.709 0.00006745408 0.00025355644 0.0000737536 0.0001052600 213189.864 200288.178 205576.440 2.55151 -14.18906 -0.06635 0.0002453616 -2.96173 46.015 0.001880 812.356 289.907 0.00006698284 0.00025393380 0.0000732019 0.0001052551 213338.644 200732.990 205795.292 2.59942 -14.46932 -0.06367 0.0002448049 -3.08034 47.019 0.001921 812.531 290.111 0.00006651407 0.00025430193 0.0000726503 0.0001052404 213500.132 201193.120 206029.891 2.64663 -14.74690 -0.06081 0.0002442387 -3.20095 48.023 0.001962 812.720 290.320 0.00006604790 0.00025466066 0.0000720990 0.0001052162 213674.449 201668.531 206280.357 2.69313 -15.02175 -0.05774 0.0002436632 -3.32353 49.002 0.002002 812.918 290.529 0.00006559572 0.00025500142 0.0000715617 0.0001051832 213857.006 202147.035 206540.128 2.73779 -15.28717 -0.05456 0.0002430929 -3.44501 50.005 0.002043 813.134 290.748 0.00006513502 0.00025534107 0.0000710116 0.0001051399 214057.069 202652.515 206822.325 2.78283 -15.55636 -0.05111 0.0002424995 -3.57142 51.009 0.002084 813.365 290.972 0.00006467727 0.00025567079 0.0000704623 0.0001050869 214270.387 203173.144 207120.794 2.82709 -15.82255 -0.04746 0.0002418973 -3.69975 52.013 0.002125 813.610 291.202 0.00006422259 0.00025599039 0.0000699141 0.0001050243 214497.121 203708.872 207435.691 2.87055 -16.08566 -0.04361 0.0002412865 -3.82996 53.016 0.002166 813.870 291.437 0.00006377110 0.00025629968 0.0000693670 0.0001049522 214737.446 204259.637 207767.179 2.91319 -16.34559 -0.03955 0.0002406672 -3.96204 54.020 0.002207 814.145 291.676 0.00006332294 0.00025659846 0.0000688213 0.0001048704 214991.551 204825.376 208115.434 2.95500 -16.60227 -0.03529 0.0002400398 -4.09597 55.024 0.002248 814.434 291.921 0.00006287822 0.00025688651 0.0000682771 0.0001047792 215259.636 205406.015 208480.645 2.99593 -16.85559 -0.03082 0.0002394043 -4.23171 56.003 0.002288 814.730 292.164 0.00006244780 0.00025715701 0.0000677478 0.0001046809 215534.859 205986.777 208853.480 3.03502 -17.09941 -0.02626 0.0002387768 -4.36588 57.007 0.002329 815.050 292.418 0.00006201028 0.00025742324 0.0000672071 0.0001045709 215831.206 206596.612 209252.792 3.07418 -17.34582 -0.02138 0.0002381260 -4.50516 58.010 0.002370 815.384 292.677 0.00006157660 0.00025767808 0.0000666684 0.0001044514 216142.216 207221.082 209669.700 3.11241 -17.58858 -0.01628 0.0002374678 -4.64620 59.014 0.002411 815.735 292.941 0.00006114689 0.00025792130 0.0000661319 0.0001043224 216468.152 207860.078 210104.452 3.14968 -17.82759 -0.01096 0.0002368024 -4.78896 60.018 0.002452 816.101 293.209 0.00006072130 0.00025815263 0.0000655977 0.0001041841 216809.295 208513.476 210557.314 3.18597 -18.06275 -0.00542 0.0002361299 -4.93343 61.021 0.002493 816.483 293.482 0.00006029997 0.00025837181 0.0000650661 0.0001040365 217165.947 209181.140 211028.574 3.22125 -18.29395 0.00034 0.0002354506 -5.07959 62.001 0.002533 816.872 293.752 0.00005989315 0.00025857367 0.0000645499 0.0001038835 217529.157 209846.118 211506.372 3.25467 -18.51557 0.00619 0.0002347814 -5.22378 63.004 0.002574 817.288 294.034 0.00005948066 0.00025876802 0.0000640237 0.0001037175 217917.428 210541.490 212014.930 3.28788 -18.73860 0.01241 0.0002340892 -5.37320 64.008 0.002615 817.720 294.320 0.00005907286 0.00025894934 0.0000635004 0.0001035424 218322.251 211250.606 212542.907 3.32000 -18.95732 0.01887 0.0002333908 -5.52423 65.012 0.002656 818.170 294.610 0.00005866991 0.00025911730 0.0000629803 0.0001033581 218744.037 211973.243 213090.718 3.35101 -19.17160 0.02557 0.0002326864 -5.67684 66.015 0.002697 818.638 294.904 0.00005827198 0.00025927153 0.0000624635 0.0001031647 219183.231 212709.142 213658.823 3.38088 -19.38130 0.03252 0.0002319763 -5.83102 67.019 0.002738 819.124 295.202 0.00005787923 0.00025941166 0.0000619502 0.0001029624 219640.321 213458.006 214247.744 3.40957 -19.58629 0.03972 0.0002312605 -5.98673 68.023 0.002779 819.629 295.504 0.00005749183 0.00025953725 0.0000614404 0.0001027510 220115.848 214219.486 214858.080 3.43705 -19.78642 0.04719 0.0002305395 -6.14396 69.002 0.002819 820.141 295.802 0.00005711922 0.00025964530 0.0000609468 0.0001025362 220598.120 214974.153 215474.834 3.46265 -19.97681 0.05474 0.0002298311 -6.29879 70.006 0.002860 820.685 296.111 0.00005674296 0.00025974067 0.0000604447 0.0001023074 221111.920 215759.241 216129.672 3.48764 -20.16683 0.06275 0.0002291001 -6.45893 71.009 0.002901 821.250 296.423 0.00005637263 0.00025981980 0.0000599467 0.0001020698 221646.214 216555.386 216808.500 3.51129 -20.35143 0.07105 0.0002283645 -6.62050 72.013 0.002942 821.836 296.738 0.00005600848 0.00025988187 0.0000594529 0.0001018235 222201.941 217361.723 217512.735 3.53356 -20.53037 0.07967 0.0002276244 -6.78347 73.017 0.002983 822.446 297.055 0.00005565078 0.00025992567 0.0000589635 0.0001015685 222780.285 218176.962 218244.506 3.55437 -20.70333 0.08862 0.0002268801 -6.94783 74.020 0.003024 823.079 297.374 0.00005529987 0.00025994906 0.0000584787 0.0001013051 223382.913 218998.636 219008.032 3.57359 -20.86979 0.09796 0.0002261318 -7.11354 75.024 0.003065 823.740 297.691 0.00005495641 0.00025994702 0.0000579985 0.0001010332 224013.166 219820.895 219813.483 3.59095 -21.02864 0.10780 0.0002253797 -7.28057 76.003 0.003105 824.413 298.006 0.00005462864 0.00025993248 0.0000575348 0.0001007598 224655.358 220638.004 220611.485 3.60668 -21.17816 0.11753 0.0002246426 -7.44477 77.007 0.003146 825.126 298.335 0.00005429951 0.00025990722 0.0000570643 0.0001004715 225337.503 221493.953 221437.630 3.62171 -21.32656 0.12759 0.0002238838 -7.61432 78.011 0.003187 825.859 298.670 0.00005397680 0.00025987151 0.0000565990 0.0001001749 226040.502 222368.716 222273.210 3.63568 -21.47027 0.13776 0.0002231219 -7.78512 79.014 0.003228 826.609 299.012 0.00005366013 0.00025982537 0.0000561389 0.0000998703 226761.799 223262.476 223118.996 3.64859 -21.60947 0.14805 0.0002223572 -7.95713 80.018 0.003269 827.375 299.360 0.00005334927 0.00025976882 0.0000556842 0.0000995576 227499.464 224175.400 223975.504 3.66048 -21.74427 0.15848 0.0002215899 -8.13031 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0.00017184591 0.0001001789 0.0000566050 288344.244 274026.497 288216.287 2.87630 20.64383 4.99295 0.0002231319 -5.66630 283.006 0.011561 883.878 313.885 0.00011366225 0.00017251035 0.0001004753 0.0000570704 286966.623 272305.878 286791.667 2.90859 20.51021 4.97552 0.0002238937 -5.45383 284.010 0.011602 882.676 313.271 0.00011359970 0.00017318223 0.0001007636 0.0000575409 285599.038 270600.488 285371.184 2.94123 20.37109 4.95814 0.0002246525 -5.24352 285.013 0.011643 881.478 312.662 0.00011352800 0.00017386122 0.0001010435 0.0000580164 284241.709 268910.700 283955.436 2.97422 20.22658 4.94083 0.0002254080 -5.03541 286.017 0.011684 880.285 312.057 0.00011344726 0.00017454699 0.0001013151 0.0000584968 282894.851 267236.886 282544.983 3.00757 20.07676 4.92357 0.0002261599 -4.82957 287.021 0.011725 879.098 311.458 0.00011335757 0.00017523921 0.0001015782 0.0000589818 281558.675 265579.403 281140.349 3.04128 19.92173 4.90639 0.0002269080 -4.62602 288.000 0.011765 877.945 310.878 0.00011326152 0.00017592048 0.0001018267 0.0000594593 280265.576 263978.418 279776.057 3.07452 19.76555 4.88970 0.0002276341 -4.42970 289.004 0.011806 876.769 310.289 0.00011315441 0.00017662458 0.0001020729 0.0000599532 278951.089 262354.209 278384.349 3.10897 19.60051 4.87267 0.0002283741 -4.23083 290.007 0.011847 875.599 309.707 0.00011303862 0.00017733425 0.0001023104 0.0000604512 277647.862 260747.322 276999.859 3.14380 19.43053 4.85574 0.0002291097 -4.03439 291.011 0.011888 874.436 309.130 0.00011291427 0.00017804922 0.0001025392 0.0000609534 276356.073 259158.059 275623.007 3.17902 19.25571 4.83889 0.0002298406 -3.84042 292.015 0.011929 873.279 308.558 0.00011278143 0.00017876922 0.0001027591 0.0000614595 275075.889 257586.704 274254.196 3.21463 19.07613 4.82215 0.0002305665 -3.64896 293.018 0.011970 872.130 307.994 0.00011264022 0.00017949398 0.0001029701 0.0000619693 273807.472 256033.524 272893.810 3.25064 18.89190 4.80551 0.0002312874 -3.46004 294.022 0.012011 870.987 307.435 0.00011249073 0.00018022324 0.0001031721 0.0000624828 272550.972 254498.770 271542.214 3.28706 18.70308 4.78897 0.0002320029 -3.27369 295.001 0.012051 869.879 306.896 0.00011233701 0.00018093883 0.0001033606 0.0000629871 271336.742 253019.426 270232.389 3.32298 18.51455 4.77295 0.0002326956 -3.09441 296.005 0.012092 868.751 306.350 0.00011217146 0.00018167627 0.0001035447 0.0000635072 270104.201 251521.736 268899.169 3.36021 18.31696 4.75664 0.0002334000 -2.91326 297.009 0.012133 867.630 305.811 0.00011199794 0.00018241749 0.0001037198 0.0000640305 268883.981 250043.110 267575.731 3.39787 18.11505 4.74045 0.0002340983 -2.73478 298.012 0.012174 866.517 305.279 0.00011181654 0.00018316226 0.0001038856 0.0000645568 267676.202 248583.728 266262.381 3.43594 17.90891 4.72439 0.0002347904 -2.55900 299.016 0.012215 865.412 304.753 0.00011162736 0.00018391036 0.0001040422 0.0000650859 266480.977 247143.755 264959.407 3.47445 17.69862 4.70845 0.0002354761 -2.38595 300.020 0.012256 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0.012501 857.944 301.285 0.00011010005 0.00018920342 0.0001048737 0.0000688417 258500.687 237649.487 256180.567 3.75526 16.12322 4.60105 0.0002400634 -1.25686 307.021 0.012542 856.909 300.817 0.00010985255 0.00018997052 0.0001049550 0.0000693875 257408.802 236368.418 254969.274 3.79730 15.88279 4.58624 0.0002406906 -1.10644 308.000 0.012582 855.909 300.368 0.00010960448 0.00019072036 0.0001050252 0.0000699212 256356.335 235138.097 253799.519 3.83875 15.64491 4.57193 0.0002412945 -0.96250 309.004 0.012623 854.893 299.914 0.00010934354 0.00019149028 0.0001050877 0.0000704695 255290.712 233897.041 252612.988 3.88168 15.39779 4.55741 0.0002419052 -0.81787 310.008 0.012664 853.887 299.469 0.00010907595 0.00019226135 0.0001051405 0.0000710187 254238.453 232676.274 251439.248 3.92507 15.14739 4.54305 0.0002425073 -0.67620 311.011 0.012705 852.891 299.030 0.00010880181 0.00019303342 0.0001051837 0.0000715688 253199.596 231475.809 250278.458 3.96891 14.89379 4.52885 0.0002431006 -0.53749 312.015 0.012746 851.905 298.600 0.00010852123 0.00019380631 0.0001052173 0.0000721196 252174.180 230295.648 249130.770 4.01320 14.63708 4.51481 0.0002436849 -0.40176 313.019 0.012787 850.929 298.177 0.00010823430 0.00019457987 0.0001052412 0.0000726709 251162.235 229135.785 247996.326 4.05795 14.37731 4.50094 0.0002442601 -0.26903 314.022 0.012828 849.963 297.761 0.00010794114 0.00019535392 0.0001052554 0.0000732225 250163.788 227996.205 246875.264 4.10315 14.11457 4.48722 0.0002448259 -0.13930 315.001 0.012868 849.031 297.363 0.00010764920 0.00019610943 0.0001052600 0.0000737608 249202.723 226903.947 245794.561 4.14768 13.85544 4.47400 0.0002453688 -0.01563 316.005 0.012909 848.086 296.963 0.00010734400 0.00019688403 0.0001052552 0.0000743126 248231.006 225804.369 244700.299 4.19377 13.58703 4.46061 0.0002459158 0.10814 317.009 0.012950 847.151 296.570 0.00010703285 0.00019765867 0.0001052406 0.0000748642 247272.843 224724.991 243619.774 4.24031 13.31586 4.44740 0.0002464529 0.22888 318.012 0.012991 846.227 296.185 0.00010671587 0.00019843322 0.0001052165 0.0000754155 246328.246 223665.770 242553.092 4.28730 13.04200 4.43435 0.0002469800 0.34659 319.016 0.013032 845.314 295.808 0.00010639314 0.00019920753 0.0001051826 0.0000759662 245397.222 222626.661 241500.352 4.33473 12.76552 4.42147 0.0002474969 0.46125 320.020 0.013073 844.412 295.438 0.00010606477 0.00019998146 0.0001051392 0.0000765163 244479.776 221607.612 240461.645 4.38260 12.48648 4.40876 0.0002480035 0.57287 321.024 0.013114 843.521 295.076 0.00010573086 0.00020075487 0.0001050861 0.0000770655 243575.907 220608.565 239437.057 4.43091 12.20496 4.39623 0.0002484996 0.68143 322.003 0.013154 842.662 294.731 0.00010539985 0.00020150881 0.0001050250 0.0000776004 242707.169 219653.104 238451.142 4.47846 11.92798 4.38417 0.0002489734 0.78440 323.006 0.013195 841.793 294.384 0.00010505528 0.00020228082 0.0001049529 0.0000781475 241830.117 218693.391 237454.677 4.52762 11.64175 4.37198 0.0002494484 0.88693 324.010 0.013236 840.935 294.045 0.00010470545 0.00020305193 0.0001048713 0.0000786932 240966.629 217753.488 236472.552 4.57721 11.35323 4.35996 0.0002499125 0.98639 325.014 0.013277 840.088 293.713 0.00010435048 0.00020382202 0.0001047801 0.0000792374 240116.694 216833.322 235504.829 4.62722 11.06250 4.34813 0.0002503655 1.08279 326.017 0.013318 839.253 293.389 0.00010399045 0.00020459096 0.0001046794 0.0000797799 239280.298 215932.818 234551.566 4.67766 10.76961 4.33646 0.0002508074 1.17612 327.021 0.013359 838.429 293.073 0.00010362546 0.00020535863 0.0001045692 0.0000803206 238457.426 215051.899 233612.816 4.72850 10.47463 4.32498 0.0002512379 1.26639 328.000 0.013399 837.637 292.771 0.00010326469 0.00020610625 0.0001044526 0.0000808462 237667.640 214211.262 232710.995 4.77850 10.18489 4.31395 0.0002516468 1.35151 329.004 0.013440 836.836 292.470 0.00010289018 0.00020687108 0.0001043238 0.0000813827 236871.431 213368.796 231801.054 4.83014 9.88596 4.30282 0.0002520545 1.43573 330.008 0.013481 836.046 292.176 0.00010251100 0.00020763430 0.0001041856 0.0000819169 236088.685 212545.670 230905.756 4.88218 9.58513 4.29186 0.0002524505 1.51688 331.011 0.013522 835.269 291.890 0.00010212725 0.00020839581 0.0001040380 0.0000824486 235319.379 211741.798 230025.134 4.93462 9.28246 4.28109 0.0002528346 1.59498 332.015 0.013563 834.503 291.611 0.00010173900 0.00020915549 0.0001038812 0.0000829777 234563.486 210957.094 229159.222 4.98743 8.97802 4.27050 0.0002532068 1.67002 333.019 0.013604 833.749 291.340 0.00010134637 0.00020991324 0.0001037151 0.0000835039 233820.979 210191.468 228308.044 5.04063 8.67185 4.26009 0.0002535670 1.74201 334.022 0.013645 833.007 291.076 0.00010094944 0.00021066896 0.0001035398 0.0000840271 233091.827 209444.833 227471.626 5.09419 8.36402 4.24985 0.0002539149 1.81095 335.002 0.013685 832.294 290.826 0.00010055814 0.00021140419 0.0001033600 0.0000845345 232393.300 208734.623 226669.851 5.14680 8.06216 4.24005 0.0002542425 1.87527 336.005 0.013726 831.576 290.577 0.00010015299 0.00021215560 0.0001031667 0.0000850513 231690.440 208025.241 225862.646 5.20107 7.75124 4.23017 0.0002545661 1.93820 337.009 0.013767 830.870 290.335 0.00009974382 0.00021290467 0.0001029644 0.0000855647 231000.839 207334.580 225070.251 5.25570 7.43883 4.22048 0.0002548772 1.99809 338.013 0.013808 830.175 290.101 0.00009933072 0.00021365132 0.0001027532 0.0000860745 230324.460 206662.550 224292.676 5.31066 7.12499 4.21097 0.0002551756 2.05496 339.016 0.013849 829.493 289.874 0.00009891378 0.00021439545 0.0001025330 0.0000865804 229661.269 206009.062 223529.929 5.36596 6.80980 4.20164 0.0002554615 2.10880 340.020 0.013890 828.823 289.654 0.00009849309 0.00021513696 0.0001023040 0.0000870825 229011.227 205374.024 222782.015 5.42157 6.49329 4.19249 0.0002557345 2.15963 341.024 0.013931 828.165 289.441 0.00009806875 0.00021587576 0.0001020663 0.0000875804 228374.295 204757.346 222048.939 5.47751 6.17553 4.18352 0.0002559947 2.20744 342.003 0.013971 827.535 289.241 0.00009765131 0.00021659385 0.0001018260 0.0000880621 227765.495 204173.317 221348.041 5.53237 5.86437 4.17494 0.0002562361 2.25120 343.007 0.014012 826.902 289.043 0.00009722001 0.00021732704 0.0001015711 0.0000885516 227154.348 203592.650 220644.276 5.58890 5.54431 4.16633 0.0002564707 2.29310 344.010 0.014053 826.280 288.852 0.00009678531 0.00021805726 0.0001013078 0.0000890365 226556.191 203030.078 219955.344 5.64571 5.22316 4.15791 0.0002566922 2.33201 345.014 0.014094 825.671 288.669 0.00009634731 0.00021878442 0.0001010360 0.0000895167 225970.984 202485.515 219281.240 5.70281 4.90098 4.14966 0.0002569006 2.36795 346.018 0.014135 825.074 288.492 0.00009590611 0.00021950843 0.0001007558 0.0000899920 225398.683 201958.874 218621.956 5.76017 4.57783 4.14160 0.0002570958 2.40092 347.021 0.014176 824.490 288.323 0.00009546177 0.00022022922 0.0001004673 0.0000904624 224839.247 201450.070 217977.485 5.81778 4.25376 4.13371 0.0002572777 2.43093 348.000 0.014216 823.932 288.164 0.00009502535 0.00022092923 0.0001001780 0.0000909164 224305.811 200970.785 217362.998 5.87423 3.93676 4.12619 0.0002574424 2.45737 349.004 0.014257 823.372 288.009 0.00009457511 0.00022164338 0.0000998734 0.0000913765 223771.662 200496.972 216747.760 5.93233 3.61104 4.11867 0.0002575979 2.48156 350.008 0.014298 822.825 287.860 0.00009412200 0.00022235406 0.0000995608 0.0000918312 223250.247 200040.750 216147.301 5.99064 3.28456 4.11132 0.0002577400 2.50283 351.012 0.014339 822.290 287.719 0.00009366612 0.00022306118 0.0000992403 0.0000922804 222741.523 199602.037 215561.609 6.04918 2.95738 4.10416 0.0002578687 2.52119 352.015 0.014380 821.767 287.585 0.00009320755 0.00022376466 0.0000989120 0.0000927239 222245.446 199180.754 214990.668 6.10792 2.62955 4.09717 0.0002579839 2.53664 353.019 0.014421 821.257 287.457 0.00009274638 0.00022446442 0.0000985759 0.0000931615 221761.971 198776.825 214434.463 6.16684 2.30113 4.09037 0.0002580855 2.54919 354.023 0.014462 820.759 287.337 0.00009228270 0.00022516037 0.0000982323 0.0000935933 221291.054 198390.173 213892.980 6.22595 1.97216 4.08375 0.0002581735 2.55886 355.002 0.014502 820.286 287.226 0.00009182799 0.00022583561 0.0000978898 0.0000940086 220843.684 198029.530 213378.874 6.28378 1.65075 4.07746 0.0002582463 2.56553 356.005 0.014543 819.813 287.119 0.00009135959 0.00022652383 0.0000975314 0.0000944281 220397.449 197676.794 212866.425 6.34321 1.32087 4.07119 0.0002583075 2.56955 357.009 0.014584 819.353 287.018 0.00009088894 0.00022720800 0.0000971657 0.0000948414 219963.642 197341.120 212368.648 6.40278 0.99060 4.06510 0.0002583551 2.57072 358.013 0.014625 818.905 286.925 0.00009041612 0.00022788806 0.0000967928 0.0000952481 219542.220 197022.437 211885.524 6.46248 0.66001 4.05919 0.0002583890 2.56905 359.016 0.014666 818.469 286.839 0.00008994122 0.00022856392 0.0000964129 0.0000956483 219133.139 196720.679 211417.037 6.52231 0.32913 4.05346 0.0002584092 2.56457 360.020 0.014707 818.047 286.759 0.00008946432 0.00022923551 0.0000960260 0.0000960417 218736.359 196435.780 210963.168 6.58223 -0.00197 4.04791 0.0002584157 2.55727 Engine speed (Hz) = 68.0000000000 Output power (W) = 173.8802002945 Heat into heater (W) = 447.5919269574 Heat to regenerator (W) = -0.1336698368 Heat removal from cooler (W) = 275.2575486051 Approximate Pumping loss (W) = -195.1888971173 Thermal efficiency (%) = 38.8479304076 The average engine pressure (Pa) = 274501.5866187669 The exp space work per cycle (J) = 6.5906725063 The comp space work per cycle (J) = -4.0336107372 The net work per cycle (J) = 2.5570617690 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.8727731534 The expansion work for Vmin-to-Vmax (J) = 25.4298349224 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.012 0.000000 818.909 286.840 0.00008956881 0.00022901257 0.0000960292 0.0000960385 219215.462 196307.113 211239.320 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.005 0.000040 818.505 286.768 0.00008909493 0.00022967360 0.0000956395 0.0000964213 218835.979 196042.750 210803.030 0.05902 -0.32797 -0.00534 0.0002584089 -0.01018 2.024 0.000081 818.103 286.701 0.00008860731 0.00023034670 0.0000952333 0.0000968066 218459.351 195788.837 210370.633 0.11960 -0.66428 -0.01063 0.0002583879 -0.02345 3.018 0.000121 817.723 286.642 0.00008812982 0.00023099896 0.0000948304 0.0000971755 218103.906 195557.702 209963.205 0.17877 -0.99249 -0.01561 0.0002583540 -0.03914 4.011 0.000161 817.356 286.590 0.00008765067 0.00023164678 0.0000944212 0.0000975374 217760.271 195342.890 209570.005 0.23800 -1.32074 -0.02042 0.0002583066 -0.05753 5.005 0.000201 817.000 286.544 0.00008716994 0.00023229008 0.0000940058 0.0000978921 217428.406 195144.345 209191.018 0.29727 -1.64897 -0.02506 0.0002582459 -0.07860 6.023 0.000242 816.649 286.503 0.00008667565 0.00023294468 0.0000935737 0.0000982481 217100.420 194957.664 208817.291 0.35804 -1.98535 -0.02963 0.0002581698 -0.10297 7.017 0.000282 816.318 286.471 0.00008619199 0.00023357858 0.0000931460 0.0000985880 216792.272 194791.901 208467.041 0.41735 -2.31340 -0.03391 0.0002580821 -0.12944 8.010 0.000322 816.000 286.444 0.00008570701 0.00023420773 0.0000927126 0.0000989205 216495.780 194642.250 208130.960 0.47666 -2.64129 -0.03802 0.0002579811 -0.15855 9.004 0.000362 815.693 286.424 0.00008522079 0.00023483204 0.0000922734 0.0000992453 216210.910 194508.663 207809.037 0.53595 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0.89355 -4.94367 -0.06210 0.0002568947 -0.43744 16.009 0.000644 813.879 286.462 0.00008176510 0.00023908931 0.0000890272 0.0001013129 214529.570 194019.033 205940.352 0.95233 -5.26830 -0.06482 0.0002566881 -0.48726 17.002 0.000684 813.671 286.492 0.00008127203 0.00023967173 0.0000885471 0.0001015735 214337.119 194013.243 205732.068 1.01099 -5.59228 -0.06737 0.0002564686 -0.53958 18.021 0.000725 813.470 286.530 0.00008076614 0.00024026292 0.0000880504 0.0001018319 214151.651 194023.613 205533.207 1.07095 -5.92364 -0.06980 0.0002562304 -0.59579 19.014 0.000765 813.287 286.573 0.00008027222 0.00024083394 0.0000875615 0.0001020755 213982.193 194049.606 205353.471 1.12928 -6.24614 -0.07200 0.0002559850 -0.65313 20.008 0.000805 813.115 286.622 0.00007977801 0.00024139920 0.0000870684 0.0001023106 213824.063 194091.249 205187.836 1.18744 -6.56783 -0.07403 0.0002557270 -0.71293 21.002 0.000845 812.956 286.676 0.00007928361 0.00024195860 0.0000865713 0.0001025371 213677.245 194148.513 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307.488 0.00011252541 0.00018009429 0.0001031714 0.0000624807 272779.955 254368.441 271761.973 3.27227 18.65729 4.81480 0.0002320001 -3.32655 295.012 0.011876 870.323 306.939 0.00011237082 0.00018081805 0.0001033625 0.0000629925 271551.848 252864.443 270435.110 3.30853 18.46702 4.79857 0.0002327030 -3.14467 296.005 0.011916 869.210 306.398 0.00011220832 0.00018154577 0.0001035448 0.0000635074 270335.708 251379.050 269117.450 3.34519 18.27243 4.78245 0.0002334002 -2.96538 297.024 0.011957 868.077 305.849 0.00011203366 0.00018229556 0.0001037223 0.0000640384 269101.712 249876.026 267776.723 3.38320 18.06859 4.76605 0.0002341088 -2.78433 298.017 0.011997 866.980 305.321 0.00011185544 0.00018303060 0.0001038864 0.0000645595 267910.170 248428.869 266478.632 3.42069 17.86552 4.75017 0.0002347939 -2.61038 299.011 0.012037 865.890 304.799 0.00011166961 0.00018376892 0.0001040414 0.0000650832 266730.942 247000.840 265190.641 3.45860 17.65838 4.73441 0.0002354727 -2.43911 300.005 0.012077 864.808 304.284 0.00011147627 0.00018451031 0.0001041873 0.0000656097 265564.125 245592.081 263913.018 3.49692 17.44726 4.71878 0.0002361450 -2.27055 301.023 0.012118 863.708 303.764 0.00011127040 0.00018527319 0.0001043274 0.0000661518 264381.118 244168.236 262614.486 3.53665 17.22681 4.70290 0.0002368272 -2.10060 302.017 0.012158 862.644 303.263 0.00011106215 0.00018602015 0.0001044547 0.0000666830 263239.717 242798.875 261358.637 3.57583 17.00786 4.68753 0.0002374857 -1.93759 303.010 0.012198 861.588 302.770 0.00011084667 0.00018676957 0.0001045728 0.0000672163 262110.991 241449.127 260113.901 3.61545 16.78517 4.67231 0.0002381371 -1.77735 304.004 0.012238 860.540 302.283 0.00011062408 0.00018752123 0.0001046817 0.0000677516 260995.016 240119.079 258880.502 3.65550 16.55880 4.65722 0.0002387813 -1.61992 305.022 0.012279 859.476 301.792 0.00011038864 0.00018829383 0.0001047836 0.0000683022 259864.445 238776.299 257628.255 3.69700 16.32305 4.64190 0.0002394337 -1.46146 306.016 0.012319 858.447 301.320 0.00011015194 0.00018904949 0.0001048735 0.0000688410 258774.493 237486.353 256418.453 3.73792 16.08950 4.62710 0.0002400625 -1.30975 307.009 0.012359 857.427 300.856 0.00010990842 0.00018980684 0.0001049542 0.0000693812 257697.483 236216.292 255220.601 3.77929 15.85250 4.61245 0.0002406834 -1.16088 308.003 0.012399 856.416 300.398 0.00010965818 0.00019056571 0.0001050254 0.0000699228 256633.466 234966.155 254034.882 3.82109 15.61215 4.59794 0.0002412962 -1.01489 309.021 0.012440 855.390 299.937 0.00010939481 0.00019134494 0.0001050887 0.0000704791 255556.384 233705.471 252832.294 3.86440 15.36237 4.58323 0.0002419158 -0.86824 310.015 0.012480 854.398 299.495 0.00010913126 0.00019210634 0.0001051409 0.0000710229 254518.819 232495.757 251671.668 3.90709 15.11543 4.56903 0.0002425118 -0.72810 311.009 0.012520 853.416 299.060 0.00010886129 0.00019286876 0.0001051836 0.0000715675 253494.377 231306.023 250523.673 3.95023 14.86534 4.55499 0.0002430991 -0.59087 312.002 0.012560 852.444 298.633 0.00010858499 0.00019363201 0.0001052169 0.0000721127 252483.090 230136.271 249388.459 3.99381 14.61219 4.54110 0.0002436776 -0.45657 313.021 0.012601 851.459 298.203 0.00010829532 0.00019441506 0.0001052412 0.0000726721 251460.203 228958.004 248238.274 4.03893 14.34960 4.52703 0.0002442613 -0.32195 314.014 0.012641 850.507 297.791 0.00010800652 0.00019517955 0.0001052553 0.0000732182 250475.640 227828.684 247129.360 4.08340 14.09045 4.51347 0.0002448215 -0.19361 315.008 0.012681 849.565 297.386 0.00010771168 0.00019594441 0.0001052600 0.0000737644 249504.307 226719.299 246033.624 4.12830 13.82844 4.50006 0.0002453724 -0.06821 316.002 0.012721 848.634 296.989 0.00010741091 0.00019670950 0.0001052552 0.0000743106 248546.220 225629.821 244951.186 4.17365 13.56365 4.48682 0.0002459138 0.05421 317.020 0.012762 847.690 296.590 0.00010709657 0.00019749380 0.0001052404 0.0000748703 247577.943 224533.728 243855.600 4.22057 13.28941 4.47342 0.0002464588 0.17661 318.014 0.012802 846.780 296.208 0.00010678408 0.00019825892 0.0001052164 0.0000754161 246646.718 223484.446 242800.417 4.26680 13.01918 4.46051 0.0002469805 0.29302 319.007 0.012842 845.880 295.834 0.00010646595 0.00019902383 0.0001051830 0.0000759613 245728.768 222454.945 241758.842 4.31345 12.74637 4.44777 0.0002474923 0.40643 320.001 0.012882 844.991 295.467 0.00010614228 0.00019978842 0.0001051401 0.0000765059 244824.096 221445.175 240730.966 4.36054 12.47104 4.43519 0.0002479940 0.51686 321.019 0.012923 844.091 295.099 0.00010580486 0.00020057165 0.0001050863 0.0000770632 243910.587 220430.577 239691.699 4.40924 12.18629 4.42248 0.0002484975 0.62694 322.013 0.012963 843.224 294.747 0.00010547025 0.00020133517 0.0001050243 0.0000776059 243032.800 219460.583 238691.815 4.45719 11.90607 4.41025 0.0002489783 0.73130 323.006 0.013003 842.368 294.403 0.00010513038 0.00020209797 0.0001049529 0.0000781475 242168.280 218510.136 237705.866 4.50555 11.62352 4.39819 0.0002494484 0.83265 324.000 0.013043 841.523 294.067 0.00010478534 0.00020285992 0.0001048722 0.0000786877 241317.020 217579.167 236733.921 4.55433 11.33873 4.38630 0.0002499079 0.93100 325.018 0.013084 840.668 293.730 0.00010442642 0.00020363993 0.0001047797 0.0000792399 240458.226 216645.065 235752.274 4.60476 11.04454 4.37429 0.0002503676 1.02870 326.012 0.013124 839.845 293.409 0.00010407122 0.00020439982 0.0001046800 0.0000797770 239633.777 215753.319 234808.868 4.65436 10.75537 4.36275 0.0002508050 1.12096 327.006 0.013164 839.033 293.095 0.00010371113 0.00020515850 0.0001045710 0.0000803123 238822.545 214880.829 233879.637 4.70437 10.46413 4.35138 0.0002512313 1.21022 328.024 0.013205 838.213 292.781 0.00010333707 0.00020593480 0.0001044497 0.0000808589 238004.728 214006.426 232941.935 4.75605 10.16353 4.33991 0.0002516566 1.29859 329.018 0.013245 837.425 292.482 0.00010296739 0.00020669071 0.0001043220 0.0000813900 237220.200 213172.682 232041.548 4.80686 9.86830 4.32890 0.0002520600 1.38177 330.011 0.013285 836.648 292.191 0.00010259309 0.00020744510 0.0001041850 0.0000819188 236448.825 212357.949 231155.465 4.85805 9.57119 4.31806 0.0002524519 1.46194 331.005 0.013325 835.882 291.907 0.00010221429 0.00020819784 0.0001040390 0.0000824452 235690.578 211562.141 230283.721 4.90963 9.27225 4.30739 0.0002528322 1.53911 332.023 0.013366 835.109 291.624 0.00010182143 0.00020896759 0.0001038798 0.0000829820 234926.973 210765.989 229405.097 4.96288 8.96401 4.29664 0.0002532099 1.61509 333.017 0.013406 834.366 291.355 0.00010143377 0.00020971670 0.0001037154 0.0000835029 234195.228 210008.243 228562.479 5.01521 8.66156 4.28634 0.0002535663 1.68619 334.011 0.013446 833.636 291.094 0.00010104187 0.00021046386 0.0001035419 0.0000840209 233476.527 209269.160 227734.282 5.06790 8.35747 4.27620 0.0002539109 1.75430 335.004 0.013486 832.916 290.840 0.00010064582 0.00021120898 0.0001033595 0.0000845358 232770.837 208548.654 226920.526 5.12095 8.05179 4.26625 0.0002542433 1.81942 336.023 0.013527 832.192 290.587 0.00010023566 0.00021197050 0.0001031633 0.0000850602 232060.974 207829.320 226101.431 5.17568 7.73689 4.25623 0.0002545715 1.88307 337.016 0.013567 831.496 290.347 0.00009983148 0.00021271118 0.0001029629 0.0000855684 231381.530 207146.159 225316.966 5.22942 7.42817 4.24663 0.0002548793 1.94216 338.010 0.013607 830.813 290.115 0.00009942343 0.00021344952 0.0001027538 0.0000860730 230714.994 206481.306 224546.984 5.28349 7.11803 4.23721 0.0002551748 1.99827 339.003 0.013647 830.141 289.890 0.00009901158 0.00021418545 0.0001025359 0.0000865739 230061.330 205834.671 223791.493 5.33789 6.80654 4.22797 0.0002554579 2.05142 340.022 0.013688 829.465 289.667 0.00009858559 0.00021493715 0.0001023036 0.0000870834 229404.643 205190.686 223032.161 5.39397 6.48591 4.21868 0.0002557350 2.10283 341.015 0.013728 828.817 289.457 0.00009816633 0.00021566789 0.0001020683 0.0000875763 228776.927 204580.674 222306.031 5.44900 6.17183 4.20980 0.0002559926 2.15000 342.009 0.013768 828.181 289.254 0.00009774355 0.00021639594 0.0001018244 0.0000880651 228161.966 203988.615 221594.402 5.50433 5.85655 4.20109 0.0002562376 2.19422 343.003 0.013808 827.557 289.058 0.00009731732 0.00021712120 0.0001015722 0.0000885496 227559.720 203414.422 220897.275 5.55995 5.54014 4.19257 0.0002564698 2.23550 344.021 0.013849 826.930 288.864 0.00009687696 0.00021786162 0.0001013049 0.0000890417 226955.570 202844.324 220197.766 5.61725 5.21470 4.18401 0.0002566946 2.27478 345.015 0.013889 826.331 288.682 0.00009644403 0.00021858100 0.0001010358 0.0000895170 226378.944 202306.045 219529.993 5.67343 4.89614 4.17584 0.0002569008 2.31014 346.008 0.013929 825.743 288.508 0.00009600792 0.00021929734 0.0001007584 0.0000899876 225814.906 201785.373 218876.707 5.72986 4.57661 4.16785 0.0002570940 2.34260 347.002 0.013969 825.168 288.340 0.00009556871 0.00022001057 0.0001004730 0.0000904533 225263.414 201282.224 218237.900 5.78656 4.25616 4.16003 0.0002572743 2.37215 348.020 0.014010 824.590 288.175 0.00009511540 0.00022073831 0.0001001720 0.0000909255 224711.110 200784.597 217598.141 5.84492 3.92679 4.15221 0.0002574456 2.39944 349.014 0.014050 824.039 288.022 0.00009467019 0.00022144498 0.0000998704 0.0000913809 224184.890 200316.684 216988.625 5.90209 3.60462 4.14475 0.0002575993 2.42315 350.007 0.014090 823.500 287.875 0.00009422213 0.00022214830 0.0000995609 0.0000918311 223671.084 199866.048 216393.558 5.95948 3.28170 4.13747 0.0002577400 2.44398 351.001 0.014130 822.974 287.735 0.00009377133 0.00022284817 0.0000992437 0.0000922757 223169.649 199432.613 215812.925 6.01709 2.95805 4.13037 0.0002578674 2.46196 352.020 0.014171 822.446 287.599 0.00009330648 0.00022356189 0.0000989105 0.0000927258 222668.469 199006.112 215232.743 6.07634 2.62563 4.12327 0.0002579843 2.47742 353.013 0.014211 821.944 287.473 0.00009285035 0.00022425456 0.0000985779 0.0000931590 222191.948 198607.273 214681.299 6.13434 2.30071 4.11653 0.0002580849 2.48964 354.007 0.014251 821.454 287.354 0.00009239173 0.00022494356 0.0000982377 0.0000935865 221727.663 198225.405 214144.246 6.19251 1.97522 4.10996 0.0002581723 2.49903 355.000 0.014291 820.976 287.242 0.00009193068 0.00022562881 0.0000978903 0.0000940080 221275.571 197860.437 213621.569 6.25085 1.64924 4.10356 0.0002582463 2.50560 356.019 0.014332 820.499 287.133 0.00009145569 0.00022632722 0.0000975266 0.0000944337 220824.783 197503.808 213100.728 6.31082 1.31463 4.09719 0.0002583082 2.50943 357.012 0.014372 820.046 287.035 0.00009099002 0.00022700464 0.0000971645 0.0000948427 220397.246 197172.846 212607.113 6.36946 0.98777 4.09115 0.0002583552 2.51034 358.006 0.014412 819.605 286.943 0.00009052217 0.00022767807 0.0000967954 0.0000952454 219981.769 196858.573 212127.824 6.42823 0.66057 4.08529 0.0002583888 2.50847 359.024 0.014453 819.165 286.855 0.00009004048 0.00022836413 0.0000964099 0.0000956514 219568.376 196553.697 211651.403 6.48860 0.32488 4.07946 0.0002584093 2.50368 360.018 0.014493 818.749 286.777 0.00008956851 0.00022902927 0.0000960268 0.0000960409 219177.188 196273.023 211201.074 6.54760 -0.00288 4.07395 0.0002584157 2.49622 Engine speed (Hz) = 69.0000000000 Output power (W) = 172.2240120594 Heat into heater (W) = 451.7842277935 Heat to regenerator (W) = -0.1985059018 Heat removal from cooler (W) = 281.1026674171 Approximate Pumping loss (W) = -202.9816202051 Thermal efficiency (%) = 38.1208553695 The average engine pressure (Pa) = 274576.8170925021 The exp space work per cycle (J) = 6.5556161236 The comp space work per cycle (J) = -4.0596159488 The net work per cycle (J) = 2.4960001748 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.9059896076 The expansion work for Vmin-to-Vmax (J) = 25.4019897823 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.018 0.000001 819.614 286.856 0.00008966945 0.00022881076 0.0000960268 0.0000960409 219656.102 196140.010 211475.178 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.001 0.000040 819.216 286.785 0.00008920085 0.00022946492 0.0000956414 0.0000964195 219282.327 195879.834 211042.582 0.05805 -0.32439 -0.00529 0.0002584089 -0.01031 2.009 0.000080 818.821 286.719 0.00008871835 0.00023013154 0.0000952394 0.0000968010 218910.969 195629.733 210613.353 0.11768 -0.65727 -0.01054 0.0002583884 -0.02365 3.017 0.000120 818.437 286.660 0.00008823401 0.00023079373 0.0000948307 0.0000971753 218551.721 195396.528 210198.749 0.17738 -0.99028 -0.01561 0.0002583540 -0.03979 4.025 0.000160 818.066 286.607 0.00008774793 0.00023145139 0.0000944155 0.0000975423 218204.538 195180.161 209798.753 0.23714 -1.32335 -0.02051 0.0002583059 -0.05870 5.008 0.000199 817.717 286.562 0.00008727240 0.00023208819 0.0000940046 0.0000978931 217877.611 194985.359 209422.805 0.29544 -1.64811 -0.02511 0.0002582457 -0.07981 6.016 0.000239 817.370 286.523 0.00008678312 0.00023273669 0.0000935769 0.0000982455 217554.132 194802.078 209051.612 0.35528 -1.98116 -0.02965 0.0002581704 -0.10417 7.024 0.000279 817.036 286.490 0.00008629236 0.00023338044 0.0000931431 0.0000985903 217242.594 194635.470 208694.981 0.41512 -2.31413 -0.03401 0.0002580814 -0.13127 8.006 0.000318 816.723 286.465 0.00008581251 0.00023400343 0.0000927143 0.0000989192 216950.303 194489.030 208361.271 0.47348 -2.63862 -0.03809 0.0002579815 -0.16031 9.014 0.000358 816.413 286.445 0.00008531907 0.00023463754 0.0000922688 0.0000992487 216662.230 194355.200 208033.357 0.53332 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0.012144 858.946 301.352 0.00011020171 0.00018890110 0.0001048740 0.0000688441 259040.592 237314.382 256648.364 3.71981 16.05717 4.65315 0.0002400661 -1.36200 307.004 0.012183 857.941 300.892 0.00010996227 0.00018964819 0.0001049538 0.0000693785 257979.266 236056.388 255464.903 3.76048 15.82375 4.63867 0.0002406803 -1.21482 308.012 0.012223 856.920 300.427 0.00010970986 0.00019041601 0.0001050260 0.0000699279 256903.926 234786.479 254263.364 3.80263 15.58092 4.62397 0.0002413020 -1.06679 309.020 0.012263 855.908 299.969 0.00010945064 0.00019118524 0.0001050886 0.0000704785 255841.998 233537.197 253074.428 3.84523 15.33470 4.60943 0.0002419152 -0.92173 310.003 0.012302 854.932 299.531 0.00010919142 0.00019193643 0.0001051403 0.0000710164 254819.573 232339.022 251927.516 3.88720 15.09144 4.59540 0.0002425047 -0.78317 311.011 0.012342 853.940 299.089 0.00010891902 0.00019270794 0.0001051837 0.0000715688 253784.256 231130.518 250763.971 3.93069 14.83874 4.58116 0.0002431006 -0.64402 312.019 0.012382 852.959 298.654 0.00010864011 0.00019348035 0.0001052174 0.0000721220 252762.463 229942.665 249613.519 3.97463 14.58288 4.56709 0.0002436874 -0.50788 313.002 0.012421 852.011 298.238 0.00010836199 0.00019423416 0.0001052408 0.0000726618 251779.264 228804.382 248504.574 4.01790 14.33043 4.55352 0.0002442507 -0.37806 314.010 0.012461 851.050 297.819 0.00010807050 0.00019500788 0.0001052553 0.0000732158 250784.263 227657.278 247380.401 4.06273 14.06852 4.53977 0.0002448191 -0.24791 315.018 0.012501 850.099 297.407 0.00010777279 0.00019578201 0.0001052600 0.0000737699 249802.857 226530.773 246269.734 4.10800 13.80366 4.52618 0.0002453779 -0.12081 316.001 0.012540 849.183 297.014 0.00010747664 0.00019653706 0.0001052552 0.0000743102 248859.093 225452.232 245199.952 4.15257 13.54265 4.51310 0.0002459134 0.00018 317.009 0.012580 848.253 296.618 0.00010716695 0.00019731159 0.0001052406 0.0000748642 247904.584 224366.308 244116.311 4.19872 13.27218 4.49984 0.0002464529 0.12124 318.017 0.012620 847.334 296.230 0.00010685134 0.00019808609 0.0001052163 0.0000754178 246963.708 223300.869 243046.518 4.24532 12.99896 4.48675 0.0002469822 0.23923 319.025 0.012660 846.426 295.849 0.00010652991 0.00019886044 0.0001051823 0.0000759710 246036.469 222255.863 241990.676 4.29235 12.72307 4.47384 0.0002475013 0.35415 320.008 0.012699 845.551 295.486 0.00010621100 0.00019961513 0.0001051398 0.0000765096 245145.542 221256.602 240974.752 4.33863 12.45158 4.46141 0.0002479974 0.46323 321.016 0.012739 844.664 295.121 0.00010587837 0.00020038874 0.0001050865 0.0000770612 244245.238 220251.784 239946.735 4.38653 12.17062 4.44883 0.0002484958 0.57206 322.024 0.012779 843.789 294.764 0.00010554020 0.00020116178 0.0001050236 0.0000776118 243358.565 219267.221 238932.933 4.43486 11.88719 4.43643 0.0002489834 0.67780 323.006 0.012818 842.946 294.423 0.00010520527 0.00020191482 0.0001049529 0.0000781475 242507.177 218326.706 237958.234 4.48239 11.60853 4.42451 0.0002494484 0.77792 324.014 0.012858 842.093 294.081 0.00010485648 0.00020268635 0.0001048709 0.0000786955 241647.402 217381.939 236972.724 4.53156 11.32043 4.41245 0.0002499145 0.87755 325.022 0.012898 841.251 293.747 0.00010450245 0.00020345694 0.0001047793 0.0000792421 240801.226 216457.210 236001.639 4.58116 11.03005 4.40057 0.0002503694 0.97408 326.005 0.012937 840.442 293.429 0.00010415232 0.00020420722 0.0001046807 0.0000797733 239989.284 215574.818 235068.777 4.62991 10.74481 4.38916 0.0002508020 1.06522 327.013 0.012977 839.623 293.110 0.00010378824 0.00020497557 0.0001045701 0.0000803164 239169.918 214689.432 234126.353 4.68032 10.45013 4.37763 0.0002512345 1.15563 328.021 0.013017 838.815 292.799 0.00010341920 0.00020574261 0.0001044500 0.0000808573 238364.098 213823.842 233198.518 4.73114 10.15338 4.36628 0.0002516554 1.24295 329.004 0.013056 838.039 292.503 0.00010305472 0.00020648910 0.0001043238 0.0000813827 237591.442 212998.871 232307.968 4.78107 9.86210 4.35539 0.0002520545 1.32510 330.012 0.013096 837.255 292.207 0.00010267618 0.00020725322 0.0001041849 0.0000819192 236812.303 212172.126 231409.075 4.83267 9.56143 4.34439 0.0002524522 1.40630 331.020 0.013136 836.482 291.919 0.00010229298 0.00020801570 0.0001040367 0.0000824532 236046.635 211364.918 230524.893 4.88466 9.25886 4.33358 0.0002528379 1.48441 332.003 0.013175 835.740 291.645 0.00010191495 0.00020875743 0.0001038831 0.0000829712 235313.049 210596.613 229677.010 4.93572 8.96208 4.32320 0.0002532024 1.55760 333.011 0.013215 834.991 291.372 0.00010152281 0.00020951635 0.0001037164 0.0000834997 234573.896 209827.722 228821.975 4.98846 8.65595 4.31274 0.0002535642 1.62961 334.019 0.013255 834.254 291.107 0.00010112627 0.00021027331 0.0001035405 0.0000840252 233848.122 209078.096 227981.736 5.04158 8.34811 4.30246 0.0002539137 1.69854 335.002 0.013294 833.546 290.855 0.00010073552 0.00021100937 0.0001033600 0.0000845345 233153.340 208365.669 227176.770 5.09371 8.04637 4.29262 0.0002542425 1.76278 336.010 0.013334 832.832 290.604 0.00010033059 0.00021176216 0.0001031659 0.0000850536 232453.886 207653.816 226365.815 5.14753 7.73531 4.28270 0.0002545674 1.82564 337.018 0.013374 832.131 290.361 0.00009992154 0.00021251270 0.0001029626 0.0000855691 231767.705 206960.949 225569.712 5.20171 7.42272 4.27296 0.0002548798 1.88542 338.000 0.013413 831.458 290.131 0.00009951885 0.00021324221 0.0001027558 0.0000860683 231111.421 206303.595 224807.822 5.25485 7.11652 4.26364 0.0002551721 1.94077 339.008 0.013453 830.781 289.903 0.00009910195 0.00021398801 0.0001025348 0.0000865765 230451.340 205647.952 224041.083 5.30969 6.80107 4.25426 0.0002554593 1.99452 340.016 0.013493 830.115 289.682 0.00009868121 0.00021473126 0.0001023049 0.0000870807 229804.414 205011.018 223289.224 5.36485 6.48425 4.24506 0.0002557336 2.04522 341.024 0.013533 829.462 289.469 0.00009825672 0.00021547189 0.0001020661 0.0000875808 229170.602 204392.699 222552.247 5.42032 6.16612 4.23605 0.0002559949 2.09287 342.007 0.013572 828.836 289.268 0.00009783931 0.00021619138 0.0001018249 0.0000880643 228565.220 203807.673 221848.027 5.47471 5.85475 4.22743 0.0002562372 2.13642 343.015 0.013612 828.207 289.069 0.00009740768 0.00021692654 0.0001015689 0.0000885558 227957.181 203225.849 221140.449 5.53078 5.53421 4.21877 0.0002564727 2.17810 344.023 0.013652 827.590 288.877 0.00009697255 0.00021765879 0.0001013043 0.0000890427 227362.128 202662.369 220447.753 5.58715 5.21253 4.21030 0.0002566950 2.21675 345.006 0.013691 827.001 288.697 0.00009654504 0.00021836987 0.0001010381 0.0000895129 226794.409 202130.550 219786.698 5.64237 4.89784 4.20221 0.0002568990 2.25155 346.014 0.013731 826.408 288.520 0.00009610330 0.00021909615 0.0001007568 0.0000899903 226224.868 201603.034 219123.380 5.69928 4.57408 4.19410 0.0002570951 2.28428 347.022 0.013771 825.828 288.350 0.00009565834 0.00021981927 0.0001004671 0.0000904627 225668.176 201093.597 218474.925 5.75644 4.24934 4.18617 0.0002572778 2.31402 348.005 0.013810 825.274 288.191 0.00009522149 0.00022052119 0.0001001767 0.0000909184 225137.729 200614.220 217856.984 5.81242 3.93183 4.17861 0.0002574431 2.34014 349.013 0.013850 824.718 288.036 0.00009477043 0.00022123783 0.0000998707 0.0000913804 224606.278 200140.235 217237.858 5.87006 3.60532 4.17103 0.0002575992 2.36401 350.021 0.013890 824.174 287.887 0.00009431641 0.00022195106 0.0000995567 0.0000918371 224087.538 199684.076 216633.563 5.92794 3.27800 4.16364 0.0002577418 2.38492 351.004 0.013929 823.656 287.749 0.00009387099 0.00022264311 0.0000992428 0.0000922769 223593.958 199256.404 216058.645 5.98458 2.95814 4.15661 0.0002578677 2.40247 352.012 0.013969 823.137 287.615 0.00009341139 0.00022334937 0.0000989132 0.0000927223 223100.181 198835.210 215483.605 6.04287 2.62937 4.14957 0.0002579835 2.41756 353.020 0.014009 822.631 287.487 0.00009294909 0.00022405199 0.0000985757 0.0000931619 222618.973 198431.600 214923.357 6.10136 2.29996 4.14272 0.0002580856 2.42974 354.002 0.014048 822.149 287.369 0.00009249584 0.00022473345 0.0000982392 0.0000935846 222161.852 198054.936 214391.340 6.15857 1.97820 4.13621 0.0002581719 2.43881 355.010 0.014088 821.667 287.256 0.00009202848 0.00022542863 0.0000978867 0.0000940122 221705.327 197685.830 213860.258 6.21741 1.64766 4.12972 0.0002582469 2.44524 356.018 0.014128 821.197 287.149 0.00009155868 0.00022611992 0.0000975267 0.0000944335 221261.231 197334.082 213343.918 6.27641 1.31662 4.12340 0.0002583082 2.44879 357.001 0.014167 820.751 287.052 0.00009109836 0.00022679010 0.0000971686 0.0000948381 220840.157 197007.772 212854.665 6.33408 0.99343 4.11741 0.0002583547 2.44948 358.009 0.014207 820.306 286.959 0.00009062400 0.00022747348 0.0000967942 0.0000952467 220420.466 196690.097 212367.393 6.39337 0.66158 4.11145 0.0002583889 2.44736 359.017 0.014247 819.874 286.873 0.00009014746 0.00022815274 0.0000964126 0.0000956486 220013.062 196389.570 211894.812 6.45278 0.32939 4.10567 0.0002584092 2.44239 360.000 0.014286 819.464 286.795 0.00008968083 0.00022881096 0.0000960338 0.0000960339 219627.631 196113.004 211448.173 6.51080 0.00524 4.10021 0.0002584157 2.43482 Engine speed (Hz) = 70.0000000000 Output power (W) = 170.4213622530 Heat into heater (W) = 455.7563122365 Heat to regenerator (W) = 0.3668022970 Heat removal from cooler (W) = 287.0145760250 Approximate Pumping loss (W) = -210.9352468999 Thermal efficiency (%) = 37.3930887357 The average engine pressure (Pa) = 274636.6647497781 The exp space work per cycle (J) = 6.5223573999 The comp space work per cycle (J) = -4.0877665105 The net work per cycle (J) = 2.4345908893 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.9400699030 The expansion work for Vmin-to-Vmax (J) = 25.3746607923 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.024 0.000001 820.325 286.871 0.00008977046 0.00022860777 0.0000960243 0.0000960434 220099.988 195971.306 211712.901 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.021 0.000040 819.924 286.800 0.00008929531 0.00022927150 0.0000956333 0.0000964274 219722.727 195708.922 211273.272 0.05855 -0.32900 -0.00538 0.0002584087 -0.01073 2.018 0.000079 819.535 286.735 0.00008881825 0.00022993102 0.0000952356 0.0000968045 219357.270 195463.159 210847.927 0.11718 -0.65819 -0.01058 0.0002583881 -0.02420 3.015 0.000118 819.158 286.677 0.00008833935 0.00023058625 0.0000948315 0.0000971746 219003.571 195233.958 210436.850 0.17589 -0.98754 -0.01561 0.0002583541 -0.04041 4.012 0.000157 818.793 286.625 0.00008785871 0.00023123712 0.0000944209 0.0000975376 218661.586 195021.261 210040.023 0.23465 -1.31697 -0.02046 0.0002583066 -0.05935 5.009 0.000196 818.440 286.581 0.00008737641 0.00023188354 0.0000940041 0.0000978935 218331.272 194825.013 209657.433 0.29346 -1.64645 -0.02514 0.0002582456 -0.08098 6.006 0.000235 818.099 286.542 0.00008689252 0.00023252543 0.0000935812 0.0000982420 218012.587 194645.159 209289.062 0.35231 -1.97592 -0.02965 0.0002581713 -0.10531 7.002 0.000274 817.770 286.510 0.00008640715 0.00023316273 0.0000931523 0.0000985832 217705.488 194481.648 208934.897 0.41118 -2.30533 -0.03398 0.0002580835 -0.13232 8.025 0.000314 817.446 286.484 0.00008590786 0.00023381151 0.0000927063 0.0000989252 217402.508 194330.870 208586.392 0.47156 -2.64306 -0.03825 0.0002579795 -0.16278 9.022 0.000353 817.141 286.466 0.00008541971 0.00023443926 0.0000922656 0.0000992510 217118.756 194200.313 208260.959 0.53042 -2.97219 -0.04223 0.0002578646 -0.19516 10.018 0.000392 816.849 286.454 0.00008493033 0.00023506216 0.0000918193 0.0000995691 216846.470 194085.954 207949.692 0.58926 -3.30109 -0.04604 0.0002577365 -0.23017 11.015 0.000431 816.569 286.448 0.00008443980 0.00023568014 0.0000913676 0.0000998794 216585.614 193987.748 207652.579 0.64807 -3.62972 -0.04967 0.0002575950 -0.26780 12.012 0.000470 816.300 286.448 0.00008394820 0.00023629313 0.0000909105 0.0001001818 216336.151 193905.652 207369.610 0.70683 -3.95803 -0.05313 0.0002574403 -0.30803 13.009 0.000509 816.044 286.455 0.00008345561 0.00023690103 0.0000904482 0.0001004761 216098.046 193839.627 207100.776 0.76552 -4.28596 -0.05642 0.0002572724 -0.35084 14.006 0.000548 815.800 286.468 0.00008296214 0.00023750376 0.0000899809 0.0001007624 215871.268 193789.632 206846.069 0.82413 -4.61345 -0.05954 0.0002570914 -0.39622 15.003 0.000587 815.567 286.488 0.00008246785 0.00023810125 0.0000895087 0.0001010405 215655.783 193755.631 206605.483 0.88265 -4.94046 -0.06248 0.0002568973 -0.44416 16.025 0.000627 815.342 286.515 0.00008196015 0.00023870851 0.0000890194 0.0001013172 215446.474 193737.334 206373.391 0.94256 -5.27529 -0.06532 0.0002566847 -0.49595 17.022 0.000666 815.133 286.547 0.00008146450 0.00023929510 0.0000885377 0.0001015785 215253.778 193735.622 206161.395 1.00084 -5.60115 -0.06791 0.0002564642 -0.54901 18.019 0.000705 814.937 286.585 0.00008096831 0.00023987617 0.0000880515 0.0001018314 215072.291 193749.802 205963.510 1.05898 -5.92636 -0.07033 0.0002562309 -0.60456 19.016 0.000744 814.753 286.630 0.00008047166 0.00024045165 0.0000875610 0.0001020758 214901.989 193779.841 205779.736 1.11697 -6.25085 -0.07258 0.0002559848 -0.66261 20.012 0.000783 814.581 286.681 0.00007997465 0.00024102144 0.0000870663 0.0001023116 214742.851 193825.710 205610.075 1.17479 -6.57459 -0.07466 0.0002557259 -0.72312 21.009 0.000822 814.421 286.738 0.00007947736 0.00024158545 0.0000865675 0.0001025388 214594.857 193887.383 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318.016 0.012442 847.894 296.253 0.00010691943 0.00019791037 0.0001052164 0.0000754176 247284.473 223121.134 243297.413 4.22324 12.97923 4.51308 0.0002469820 0.18449 319.013 0.012481 847.000 295.876 0.00010660296 0.00019867448 0.0001051828 0.0000759646 246371.290 222086.755 242253.879 4.26946 12.70732 4.50031 0.0002474954 0.29805 320.010 0.012520 846.117 295.507 0.00010628087 0.00019943833 0.0001051396 0.0000765110 245471.421 221072.377 241224.026 4.31610 12.43285 4.48772 0.0002479986 0.40859 321.007 0.012559 845.245 295.145 0.00010595327 0.00020020179 0.0001050870 0.0000770565 244584.862 220077.940 240207.942 4.36316 12.15589 4.47529 0.0002484915 0.51611 322.004 0.012598 844.383 294.791 0.00010562024 0.00020096473 0.0001050249 0.0000776010 243711.607 219103.381 239205.706 4.41064 11.87650 4.46303 0.0002489740 0.62060 323.001 0.012637 843.533 294.445 0.00010528189 0.00020172703 0.0001049534 0.0000781443 242851.647 218148.630 238217.393 4.45853 11.59474 4.45094 0.0002494457 0.72206 324.023 0.012677 842.672 294.098 0.00010492942 0.00020250808 0.0001048702 0.0000787002 241983.435 217189.902 237218.275 4.50808 11.30337 4.43871 0.0002499184 0.82298 325.020 0.012716 841.844 293.767 0.00010458056 0.00020326870 0.0001047795 0.0000792407 241150.366 216275.055 236258.372 4.55681 11.01702 4.42697 0.0002503683 0.91831 326.017 0.012755 841.027 293.443 0.00010422665 0.00020402831 0.0001046795 0.0000797795 240330.550 215379.792 235312.587 4.60594 10.72850 4.41540 0.0002508071 1.01060 327.014 0.012794 840.221 293.128 0.00010386779 0.00020478679 0.0001045701 0.0000803165 239523.966 214504.032 234380.972 4.65547 10.43786 4.40400 0.0002512347 1.09986 328.010 0.012833 839.427 292.819 0.00010350407 0.00020554404 0.0001044514 0.0000808516 238730.593 213647.694 233463.577 4.70539 10.14517 4.39278 0.0002516509 1.18608 329.007 0.012872 838.644 292.519 0.00010313557 0.00020629994 0.0001043233 0.0000813844 237950.408 212810.692 232560.447 4.75571 9.85050 4.38173 0.0002520558 1.26928 330.004 0.012911 837.872 292.226 0.00010276239 0.00020705439 0.0001041861 0.0000819150 237183.384 211992.942 231671.621 4.80641 9.55389 4.37086 0.0002524491 1.34944 331.001 0.012950 837.112 291.940 0.00010238463 0.00020780727 0.0001040396 0.0000824431 236429.494 211194.355 230797.137 4.85748 9.25541 4.36016 0.0002528307 1.42658 332.023 0.012990 836.344 291.655 0.00010199250 0.00020857772 0.0001038798 0.0000829820 235669.888 210395.105 229915.161 4.91026 8.94740 4.34937 0.0002532099 1.50255 333.020 0.013029 835.608 291.385 0.00010160572 0.00020932713 0.0001037148 0.0000835046 234942.512 209635.064 229069.822 4.96208 8.64531 4.33903 0.0002535675 1.57356 334.017 0.013068 834.883 291.122 0.00010121462 0.00021007465 0.0001035408 0.0000840243 234228.176 208893.916 228238.911 5.01427 8.34153 4.32887 0.0002539131 1.64155 335.014 0.013107 834.169 290.867 0.00010081929 0.00021082021 0.0001033577 0.0000845408 233526.847 208171.570 227422.448 5.06681 8.03611 4.31888 0.0002542465 1.70653 336.011 0.013146 833.467 290.618 0.00010041982 0.00021156370 0.0001031657 0.0000850541 232838.489 207467.934 226620.453 5.11969 7.72911 4.30907 0.0002545678 1.76850 337.008 0.013185 832.777 290.378 0.00010001630 0.00021230503 0.0001029647 0.0000855640 232163.064 206782.917 225832.941 5.17292 7.42059 4.29944 0.0002548767 1.82747 338.004 0.013224 832.099 290.145 0.00009960881 0.00021304411 0.0001027549 0.0000860703 231500.534 206116.428 225059.923 5.22648 7.11060 4.28998 0.0002551732 1.88344 339.001 0.013263 831.433 289.919 0.00009919746 0.00021378084 0.0001025364 0.0000865728 230850.860 205468.375 224301.410 5.28036 6.79920 4.28070 0.0002554573 1.93642 340.024 0.013303 830.762 289.694 0.00009877162 0.00021453392 0.0001023032 0.0000870843 230197.840 204822.761 223538.522 5.33595 6.47841 4.27137 0.0002557355 1.98766 341.020 0.013342 830.119 289.483 0.00009835268 0.00021526562 0.0001020671 0.0000875788 229574.083 204211.774 222809.409 5.39046 6.16432 4.26245 0.0002559939 2.03460 342.017 0.013381 829.489 289.279 0.00009793013 0.00021599470 0.0001018224 0.0000880692 228963.056 203618.949 222094.813 5.44528 5.84899 4.25371 0.0002562396 2.07858 343.014 0.013420 828.870 289.082 0.00009750405 0.00021672108 0.0001015692 0.0000885552 228364.717 203044.197 221394.736 5.50038 5.53246 4.24514 0.0002564724 2.11959 344.011 0.013459 828.263 288.893 0.00009707453 0.00021744468 0.0001013076 0.0000890368 227779.021 202487.430 220709.175 5.55577 5.21480 4.23676 0.0002566924 2.15764 345.008 0.013498 827.669 288.711 0.00009664167 0.00021816540 0.0001010376 0.0000895137 227205.924 201948.558 220038.126 5.61142 4.89606 4.22855 0.0002568994 2.19276 346.005 0.013537 827.086 288.535 0.00009620553 0.00021888316 0.0001007594 0.0000899859 226645.380 201427.497 219381.584 5.66735 4.57628 4.22052 0.0002570934 2.22493 347.001 0.013576 826.515 288.367 0.00009576621 0.00021959789 0.0001004731 0.0000904532 226097.344 200924.160 218739.542 5.72352 4.25553 4.21266 0.0002572743 2.25419 348.024 0.013616 825.942 288.202 0.00009531241 0.00022032770 0.0001001709 0.0000909272 225548.200 200426.240 218096.089 5.78139 3.92559 4.20479 0.0002574461 2.28116 349.021 0.013655 825.396 288.048 0.00009486691 0.00022103603 0.0000998683 0.0000913840 225025.358 199958.550 217483.390 5.83805 3.60302 4.19729 0.0002576004 2.30451 350.018 0.013694 824.862 287.902 0.00009441848 0.00022174107 0.0000995577 0.0000918356 224514.882 199508.333 216885.160 5.89494 3.27964 4.18998 0.0002577413 2.32497 351.014 0.013733 824.340 287.762 0.00009396721 0.00022244276 0.0000992394 0.0000922817 224016.725 199075.509 216301.387 5.95204 2.95548 4.18284 0.0002578690 2.34254 352.011 0.013772 823.829 287.629 0.00009351318 0.00022314100 0.0000989133 0.0000927221 223530.841 198660.000 215732.058 6.00934 2.63062 4.17587 0.0002579834 2.35724 353.008 0.013811 823.331 287.503 0.00009305648 0.00022383573 0.0000985796 0.0000931569 223057.181 198261.728 215177.159 6.06683 2.30509 4.16908 0.0002580845 2.36908 354.005 0.013850 822.845 287.384 0.00009259719 0.00022452686 0.0000982384 0.0000935857 222595.698 197880.619 214636.675 6.12450 1.97895 4.16247 0.0002581721 2.37807 355.002 0.013889 822.371 287.272 0.00009213540 0.00022521433 0.0000978898 0.0000940086 222146.344 197516.598 214110.590 6.18235 1.65225 4.15604 0.0002582463 2.38422 356.024 0.013929 821.898 287.164 0.00009165925 0.00022591552 0.0000975246 0.0000944359 221698.019 197160.918 213585.957 6.24184 1.31665 4.14962 0.0002583085 2.38759 357.021 0.013968 821.448 287.066 0.00009119264 0.00022659531 0.0000971613 0.0000948462 221273.089 196831.293 213088.990 6.29999 0.98897 4.14354 0.0002583555 2.38802 358.018 0.014007 821.011 286.974 0.00009072378 0.00022727119 0.0000967909 0.0000952501 220860.147 196518.543 212606.374 6.35828 0.66090 4.13763 0.0002583891 2.38566 359.015 0.014046 820.586 286.889 0.00009025275 0.00022794309 0.0000964136 0.0000956476 220459.144 196222.601 212138.090 6.41669 0.33247 4.13191 0.0002584092 2.38050 360.012 0.014085 820.172 286.811 0.00008977964 0.00022861094 0.0000960294 0.0000960384 220070.034 195943.403 211684.123 6.47521 0.00374 4.12635 0.0002584157 2.37257 Engine speed (Hz) = 71.0000000000 Output power (W) = 168.4357633595 Heat into heater (W) = 459.7395673736 Heat to regenerator (W) = 0.2653721901 Heat removal from cooler (W) = 292.9709814833 Approximate Pumping loss (W) = -219.0857011537 Thermal efficiency (%) = 36.6372127424 The average engine pressure (Pa) = 274714.2968613878 The exp space work per cycle (J) = 6.4860766846 The comp space work per cycle (J) = -4.1137419894 The net work per cycle (J) = 2.3723346952 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -22.9740319659 The expansion work for Vmin-to-Vmax (J) = 25.3463666611 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.017 0.000001 821.047 286.887 0.00008987848 0.00022839430 0.0000960271 0.0000960406 220552.361 195804.864 211958.735 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000039 820.653 286.817 0.00008940921 0.00022905042 0.0000956408 0.0000964201 220181.213 195546.620 211523.150 0.05751 -0.32503 -0.00533 0.0002584089 -0.01080 2.013 0.000078 820.260 286.752 0.00008892561 0.00022971958 0.0000952376 0.0000968026 219812.199 195298.492 211090.568 0.11662 -0.65884 -0.01062 0.0002583882 -0.02468 3.024 0.000117 819.880 286.693 0.00008844008 0.00023038439 0.0000948278 0.0000971779 219455.192 195067.436 210672.623 0.17581 -0.99282 -0.01573 0.0002583537 -0.04137 4.009 0.000155 819.522 286.643 0.00008796524 0.00023102788 0.0000944221 0.0000975366 219118.842 194858.665 210279.456 0.23355 -1.31836 -0.02054 0.0002583067 -0.06033 5.020 0.000194 819.166 286.598 0.00008747617 0.00023168386 0.0000939994 0.0000978974 218785.401 194661.137 209890.359 0.29285 -1.65254 -0.02530 0.0002582449 -0.08253 6.005 0.000232 818.831 286.560 0.00008699804 0.00023231859 0.0000935815 0.0000982418 218471.924 194484.928 209525.269 0.35067 -1.97817 -0.02977 0.0002581713 -0.10683 7.016 0.000271 818.500 286.529 0.00008650578 0.00023296542 0.0000931465 0.0000985877 218161.869 194320.711 209164.957 0.41003 -2.31233 -0.03418 0.0002580822 -0.13448 8.001 0.000309 818.188 286.504 0.00008602470 0.00023359108 0.0000927169 0.0000989172 217871.092 194176.857 208827.886 0.46788 -2.63784 -0.03830 0.0002579821 -0.16407 9.012 0.000348 817.881 286.486 0.00008552958 0.00023422844 0.0000922701 0.0000992478 217584.248 194045.747 208496.301 0.52725 -2.97177 -0.04236 0.0002578659 -0.19712 10.022 0.000387 817.586 286.474 0.00008503314 0.00023486088 0.0000918175 0.0000995704 217309.097 193931.334 208179.246 0.58660 -3.30551 -0.04623 0.0002577359 -0.23287 11.007 0.000425 817.310 286.469 0.00008454826 0.00023547229 0.0000913712 0.0000998770 217052.209 193835.869 207884.286 0.64439 -3.63044 -0.04984 0.0002575962 -0.27030 12.018 0.000464 817.039 286.470 0.00008404949 0.00023609477 0.0000909077 0.0001001836 216800.025 193754.287 207595.885 0.70366 -3.96363 -0.05337 0.0002574393 -0.31135 13.003 0.000502 816.787 286.478 0.00008356250 0.00023669632 0.0000904509 0.0001004745 216565.441 193690.729 207328.823 0.76135 -4.28792 -0.05664 0.0002572734 -0.35391 14.014 0.000541 816.540 286.492 0.00008306175 0.00023730851 0.0000899770 0.0001007648 216336.075 193641.812 207069.038 0.82048 -4.62034 -0.05982 0.0002570898 -0.40020 15.025 0.000580 816.306 286.513 0.00008256013 0.00023791535 0.0000894981 0.0001010467 216118.213 193609.381 206823.735 0.87952 -4.95228 -0.06282 0.0002568928 -0.44911 16.010 0.000618 816.089 286.539 0.00008207061 0.00023850142 0.0000890267 0.0001013132 215916.969 193593.605 206598.646 0.93694 -5.27521 -0.06557 0.0002566879 -0.49928 17.021 0.000657 815.878 286.573 0.00008156754 0.00023909746 0.0000885382 0.0001015782 215721.723 193593.618 206381.922 0.99575 -5.60606 -0.06822 0.0002564645 -0.55332 18.006 0.000695 815.685 286.611 0.00008107679 0.00023967282 0.0000880578 0.0001018282 215542.458 193609.389 206184.673 1.05292 -5.92780 -0.07063 0.0002562340 -0.60846 19.017 0.000734 815.498 286.658 0.00008057262 0.00024025770 0.0000875604 0.0001020760 215369.713 193641.715 205996.519 1.11144 -6.25733 -0.07294 0.0002559845 -0.66757 20.002 0.000772 815.328 286.709 0.00008008098 0.00024082201 0.0000870716 0.0001023091 215212.321 193688.912 205827.110 1.16830 -6.57767 -0.07501 0.0002557287 -0.72761 21.012 0.000811 815.166 286.767 0.00007957609 0.00024139536 0.0000865659 0.0001025395 215061.978 193753.434 205667.533 1.22647 -6.90564 -0.07696 0.0002554534 -0.79171 22.023 0.000850 815.016 286.832 0.00007907096 0.00024196272 0.0000860562 0.0001027609 214922.949 193834.222 205522.438 1.28444 -7.23274 -0.07874 0.0002551651 -0.85832 23.008 0.000888 814.881 286.902 0.00007857865 0.00024250969 0.0000855558 0.0001029680 214798.351 193928.559 205395.000 1.34071 -7.55056 -0.08029 0.0002548719 -0.92562 24.019 0.000927 814.754 286.979 0.00007807335 0.00024306496 0.0000850387 0.0001031716 214681.611 194041.387 205278.522 1.39822 -7.87575 -0.08172 0.0002545583 -0.99712 25.004 0.000965 814.643 287.060 0.00007758106 0.00024359995 0.0000845315 0.0001033611 214578.706 194166.896 205178.991 1.45403 -8.19159 -0.08294 0.0002542406 -1.06914 26.015 0.001004 814.541 287.150 0.00007707596 0.00024414271 0.0000840075 0.0001035465 214484.208 194311.673 205091.183 1.51103 -8.51465 -0.08401 0.0002539021 -1.14545 27.000 0.001042 814.453 287.243 0.00007658405 0.00024466532 0.0000834940 0.0001037183 214402.959 194468.271 205019.618 1.56629 -8.82828 -0.08489 0.0002535603 -1.22213 28.011 0.001081 814.374 287.345 0.00007607954 0.00024519517 0.0000829640 0.0001038854 214330.681 194644.914 204960.552 1.62271 -9.14895 -0.08561 0.0002531973 -1.30319 29.022 0.001120 814.308 287.453 0.00007557547 0.00024571832 0.0000824310 0.0001040430 214269.656 194837.668 204916.078 1.67881 -9.46831 -0.08615 0.0002528221 -1.38663 30.007 0.001158 814.255 287.564 0.00007508484 0.00024622150 0.0000819092 0.0001041876 214221.025 195040.958 204886.807 1.73315 -9.77817 -0.08651 0.0002524448 -1.47019 31.018 0.001197 814.213 287.684 0.00007458194 0.00024673108 0.0000813711 0.0001043267 214182.238 195265.468 204871.229 1.78856 -10.09476 -0.08670 0.0002520458 -1.55825 32.003 0.001235 814.184 287.806 0.00007409265 0.00024722082 0.0000808446 0.0001044530 214155.295 195499.666 204870.175 1.84219 -10.40179 -0.08671 0.0002516456 -1.64629 33.013 0.001274 814.166 287.938 0.00007359133 0.00024771638 0.0000803020 0.0001045732 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330.005 0.012732 838.487 292.242 0.00010284518 0.00020686173 0.0001041860 0.0000819154 237548.745 211806.447 231927.753 4.78097 9.53878 4.39719 0.0002524494 1.29259 331.016 0.012771 837.720 291.952 0.00010246323 0.00020762398 0.0001040374 0.0000824509 236787.927 210996.668 231041.195 4.83243 9.23682 4.38635 0.0002528363 1.37063 332.001 0.012809 836.985 291.677 0.00010208659 0.00020836508 0.0001038835 0.0000829701 236059.542 210226.574 230191.543 4.88293 8.94080 4.37595 0.0002532016 1.44368 333.012 0.012848 836.241 291.402 0.00010169554 0.00020912393 0.0001037163 0.0000835001 235325.219 209455.543 229334.107 4.93514 8.63519 4.36546 0.0002535644 1.51558 334.022 0.012887 835.510 291.136 0.00010130003 0.00020988090 0.0001035398 0.0000840271 234604.264 208703.996 228491.463 4.98771 8.32781 4.35516 0.0002539149 1.58437 335.007 0.012925 834.809 290.883 0.00010091045 0.00021061656 0.0001033589 0.0000845375 233914.618 207990.370 227684.675 5.03928 8.02668 4.34529 0.0002542444 1.64842 336.018 0.012964 834.102 290.631 0.00010050639 0.00021136953 0.0001031642 0.0000850580 233219.947 207277.010 226871.300 5.09256 7.71600 4.33534 0.0002545702 1.71109 337.003 0.013002 833.424 290.393 0.00010010866 0.00021210109 0.0001029656 0.0000855618 232555.836 206600.409 226093.065 5.14481 7.41176 4.32582 0.0002548754 1.76918 338.014 0.013041 832.740 290.156 0.00009969641 0.00021284966 0.0001027529 0.0000860752 231887.292 205924.862 225309.023 5.19877 7.09801 4.31622 0.0002551761 1.82576 339.025 0.013080 832.068 289.927 0.00009928014 0.00021359587 0.0001025311 0.0000865848 231231.919 205268.322 224539.855 5.25306 6.78278 4.30682 0.0002554639 1.87925 340.010 0.013118 831.426 289.711 0.00009887078 0.00021432057 0.0001023064 0.0000870775 230605.979 204646.809 223804.723 5.30627 6.47428 4.29782 0.0002557318 1.92842 341.021 0.013157 830.778 289.497 0.00009844685 0.00021506183 0.0001020670 0.0000875790 229976.482 204027.518 223064.942 5.36119 6.15631 4.28877 0.0002559940 1.97586 342.006 0.013195 830.159 289.295 0.00009803020 0.00021578154 0.0001018252 0.0000880636 229375.668 203442.118 222358.452 5.41500 5.84525 4.28013 0.0002562368 2.01913 343.017 0.013234 829.535 289.095 0.00009759897 0.00021651749 0.0001015685 0.0000885565 228771.870 202859.705 221648.069 5.47052 5.52477 4.27144 0.0002564730 2.06054 344.002 0.013272 828.939 288.908 0.00009717536 0.00021723187 0.0001013101 0.0000890323 228196.007 202310.061 220970.222 5.52490 5.21136 4.26315 0.0002566904 2.09796 345.012 0.013311 828.340 288.723 0.00009673718 0.00021796217 0.0001010363 0.0000895160 227617.724 201764.165 220289.231 5.58098 4.88857 4.25482 0.0002569003 2.13338 346.023 0.013350 827.752 288.546 0.00009629559 0.00021868949 0.0001007541 0.0000899947 227052.291 201236.629 219623.120 5.63733 4.56471 4.24667 0.0002570969 2.16577 347.008 0.013388 827.192 288.380 0.00009586215 0.00021939520 0.0001004711 0.0000904564 226513.672 200740.193 218988.394 5.69249 4.24816 4.23890 0.0002572755 2.19444 348.019 0.013427 826.629 288.216 0.00009541413 0.00022011636 0.0001001723 0.0000909250 225973.467 200248.642 218351.638 5.74935 3.92232 4.23111 0.0002574454 2.22089 349.004 0.013465 826.092 288.064 0.00009497459 0.00022081592 0.0000998734 0.0000913765 225459.333 199787.102 217745.497 5.80498 3.60395 4.22370 0.0002575979 2.24379 350.015 0.013504 825.554 287.916 0.00009452047 0.00022153060 0.0000995585 0.0000918345 224944.162 199331.198 217138.057 5.86230 3.27635 4.21627 0.0002577410 2.26435 351.000 0.013542 825.041 287.778 0.00009407515 0.00022222369 0.0000992440 0.0000922753 224454.323 198904.230 216560.458 5.91837 2.95636 4.20920 0.0002578673 2.28153 352.011 0.013581 824.527 287.643 0.00009361528 0.00022293157 0.0000989134 0.0000927220 223963.986 198483.645 215982.285 5.97611 2.62720 4.20213 0.0002579834 2.29624 353.022 0.013620 824.025 287.516 0.00009315262 0.00022363589 0.0000985749 0.0000931628 223486.152 198080.827 215418.916 6.03406 2.29734 4.19524 0.0002580858 2.30800 354.007 0.013658 823.547 287.398 0.00009269923 0.00022431864 0.0000982377 0.0000935865 223032.548 197705.353 214884.215 6.09070 1.97531 4.18870 0.0002581723 2.31663 355.018 0.013697 823.070 287.285 0.00009223133 0.00022501569 0.0000978842 0.0000940152 222579.249 197337.385 214350.025 6.14900 1.64421 4.18216 0.0002582474 2.32262 356.003 0.013735 822.616 287.181 0.00009177300 0.00022569120 0.0000975324 0.0000944269 222149.453 196995.721 213843.726 6.20596 1.32107 4.17597 0.0002583074 2.32564 357.013 0.013774 822.163 287.082 0.00009130020 0.00022638066 0.0000971641 0.0000948431 221720.491 196662.308 213338.652 6.26458 0.98895 4.16979 0.0002583552 2.32589 358.024 0.013813 821.722 286.989 0.00009082504 0.00022706615 0.0000967885 0.0000952528 221303.778 196346.289 212848.299 6.32333 0.65638 4.16379 0.0002583893 2.32326 359.009 0.013851 821.305 286.906 0.00009035989 0.00022773019 0.0000964156 0.0000956454 220909.486 196055.037 212384.663 6.38070 0.33196 4.15812 0.0002584091 2.31793 360.020 0.013890 820.888 286.827 0.00008988034 0.00022840763 0.0000960260 0.0000960417 220516.813 195773.157 211923.324 6.43970 -0.00133 4.15248 0.0002584157 2.30965 Engine speed (Hz) = 72.0000000000 Output power (W) = 166.2767087600 Heat into heater (W) = 463.6583440165 Heat to regenerator (W) = -0.0954859053 Heat removal from cooler (W) = 298.9782883972 Approximate Pumping loss (W) = -227.4229121571 Thermal efficiency (%) = 35.8619036853 The average engine pressure (Pa) = 274798.9547868565 The exp space work per cycle (J) = 6.4483349975 The comp space work per cycle (J) = -4.1389362647 The net work per cycle (J) = 2.3093987328 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.0082534935 The expansion work for Vmin-to-Vmax (J) = 25.3176522263 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000000 821.776 286.903 0.00008998903 0.00022817664 0.0000960316 0.0000960361 221009.449 195638.179 212208.447 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.004 0.000038 821.379 286.832 0.00008951347 0.00022884210 0.0000956400 0.0000964209 220634.985 195377.478 211765.749 0.05796 -0.32947 -0.00542 0.0002584089 -0.01118 2.003 0.000076 820.994 286.768 0.00008903590 0.00022950344 0.0000952417 0.0000967988 220272.206 195133.535 211337.317 0.11601 -0.65920 -0.01066 0.0002583885 -0.02512 3.002 0.000114 820.620 286.711 0.00008855643 0.00023016058 0.0000948369 0.0000971697 219921.063 194906.289 210923.134 0.17414 -0.98913 -0.01572 0.0002583546 -0.04181 4.000 0.000152 820.259 286.660 0.00008807512 0.00023081345 0.0000944257 0.0000975335 219581.509 194695.684 210523.184 0.23233 -1.31920 -0.02062 0.0002583072 -0.06124 5.025 0.000191 819.900 286.615 0.00008757932 0.00023147898 0.0000939972 0.0000978993 219245.019 194496.780 210127.492 0.29211 -1.65806 -0.02546 0.0002582445 -0.08400 6.024 0.000229 819.563 286.578 0.00008709456 0.00023212296 0.0000935734 0.0000982484 218928.801 194319.723 209756.333 0.35039 -1.98828 -0.03000 0.0002581698 -0.10892 7.023 0.000267 819.237 286.547 0.00008660822 0.00023276243 0.0000931436 0.0000985900 218624.031 194159.143 209399.360 0.40870 -2.31849 -0.03436 0.0002580815 -0.13653 8.021 0.000305 818.924 286.523 0.00008612039 0.00023339731 0.0000927079 0.0000989240 218330.662 194014.989 209056.558 0.46702 -2.64864 -0.03856 0.0002579799 -0.16682 9.020 0.000343 818.622 286.505 0.00008563115 0.00023402752 0.0000922664 0.0000992505 218048.652 193887.213 208727.913 0.52534 -2.97867 -0.04258 0.0002578649 -0.19976 10.018 0.000381 818.332 286.494 0.00008514058 0.00023465299 0.0000918193 0.0000995691 217777.957 193775.769 208413.412 0.58365 -3.30855 -0.04643 0.0002577365 -0.23535 11.017 0.000419 818.054 286.490 0.00008464879 0.00023527363 0.0000913668 0.0000998800 217518.536 193680.613 208113.043 0.64192 -3.63820 -0.05010 0.0002575947 -0.27356 12.016 0.000457 817.788 286.492 0.00008415584 0.00023588937 0.0000909089 0.0001001828 217270.348 193601.702 207826.796 0.70015 -3.96758 -0.05360 0.0002574397 -0.31439 13.014 0.000495 817.533 286.500 0.00008366183 0.00023650012 0.0000904457 0.0001004777 217033.353 193538.996 207554.660 0.75833 -4.29664 -0.05693 0.0002572715 -0.35781 14.013 0.000533 817.290 286.515 0.00008316684 0.00023710579 0.0000899775 0.0001007645 216807.514 193492.455 207296.628 0.81643 -4.62532 -0.06009 0.0002570900 -0.40381 15.012 0.000571 817.059 286.536 0.00008267096 0.00023770631 0.0000895044 0.0001010430 216592.795 193462.043 207052.691 0.87445 -4.95356 -0.06307 0.0002568955 -0.45238 16.010 0.000609 816.840 286.564 0.00008217428 0.00023830158 0.0000890265 0.0001013133 216389.161 193447.724 206822.844 0.93237 -5.28132 -0.06588 0.0002566878 -0.50349 17.009 0.000647 816.633 286.598 0.00008167688 0.00023889153 0.0000885440 0.0001015752 216196.580 193449.466 206607.084 0.99017 -5.60854 -0.06852 0.0002564672 -0.55713 18.008 0.000685 816.437 286.638 0.00008117886 0.00023947606 0.0000880570 0.0001018286 216015.019 193467.235 206405.406 1.04784 -5.93515 -0.07099 0.0002562336 -0.61329 19.006 0.000723 816.253 286.684 0.00008068030 0.00024005509 0.0000875656 0.0001020735 215844.451 193501.001 206217.811 1.10537 -6.26112 -0.07328 0.0002559871 -0.67194 20.005 0.000761 816.081 286.737 0.00008018130 0.00024062852 0.0000870700 0.0001023098 215684.848 193550.737 206044.299 1.16273 -6.58637 -0.07541 0.0002557279 -0.73306 21.003 0.000799 815.921 286.795 0.00007968194 0.00024119627 0.0000865704 0.0001025375 215536.185 193616.413 205884.874 1.21992 -6.91086 -0.07736 0.0002554559 -0.79665 22.002 0.000837 815.772 286.860 0.00007918232 0.00024175824 0.0000860669 0.0001027564 215398.440 193698.006 205739.540 1.27691 -7.23453 -0.07913 0.0002551713 -0.86269 23.001 0.000875 815.635 286.932 0.00007868252 0.00024231433 0.0000855597 0.0001029665 215271.594 193795.489 205608.305 1.33370 -7.55731 -0.08074 0.0002548742 -0.93115 24.026 0.000914 815.506 287.011 0.00007816948 0.00024287885 0.0000850354 0.0001031729 215152.723 193912.038 205488.286 1.39174 -7.88760 -0.08221 0.0002545562 -1.00391 25.024 0.000952 815.393 287.095 0.00007766962 0.00024342274 0.0000845210 0.0001033649 215047.909 194041.652 205385.651 1.44806 -8.20841 -0.08346 0.0002542340 -1.07723 26.023 0.000990 815.291 287.184 0.00007716986 0.00024396046 0.0000840034 0.0001035480 214953.950 194187.090 205297.151 1.50411 -8.52816 -0.08455 0.0002538994 -1.15292 27.022 0.001028 815.201 287.280 0.00007667031 0.00024449191 0.0000834827 0.0001037220 214870.837 194348.333 205222.803 1.55990 -8.84679 -0.08546 0.0002535527 -1.23097 28.020 0.001066 815.123 287.381 0.00007617105 0.00024501697 0.0000829590 0.0001038869 214798.565 194525.361 205162.628 1.61539 -9.16424 -0.08619 0.0002531939 -1.31135 29.019 0.001104 815.057 287.489 0.00007567219 0.00024553556 0.0000824326 0.0001040426 214737.132 194718.158 205116.648 1.67057 -9.48044 -0.08675 0.0002528232 -1.39404 30.018 0.001142 815.002 287.603 0.00007517382 0.00024604755 0.0000819035 0.0001041892 214686.542 194926.704 205084.889 1.72543 -9.79533 -0.08714 0.0002524406 -1.47904 31.016 0.001180 814.959 287.722 0.00007467604 0.00024655284 0.0000813719 0.0001043265 214646.798 195150.984 205067.381 1.77995 -10.10884 -0.08736 0.0002520464 -1.56631 32.015 0.001218 814.927 287.848 0.00007417896 0.00024705131 0.0000808380 0.0001044545 214617.912 195390.982 205064.156 1.83411 -10.42092 -0.08740 0.0002516405 -1.65584 33.013 0.001256 814.908 287.979 0.00007368266 0.00024754285 0.0000803020 0.0001045732 214599.898 195646.680 205075.251 1.88789 -10.73150 -0.08726 0.0002512232 -1.74761 34.012 0.001294 814.900 288.116 0.00007318725 0.00024802734 0.0000797639 0.0001046825 214592.774 195918.064 205100.706 1.94128 -11.04051 -0.08695 0.0002507945 -1.84161 35.011 0.001332 814.904 288.259 0.00007269283 0.00024850465 0.0000792241 0.0001047825 214596.565 196205.119 205140.565 1.99425 -11.34789 -0.08646 0.0002503546 -1.93781 36.009 0.001370 814.920 288.407 0.00007219952 0.00024897468 0.0000786826 0.0001048730 214611.298 196507.827 205194.876 2.04680 -11.65356 -0.08580 0.0002499036 -2.03618 37.008 0.001408 814.948 288.562 0.00007170740 0.00024943728 0.0000781396 0.0001049541 214637.007 196826.173 205263.692 2.09889 -11.95745 -0.08496 0.0002494416 -2.13673 38.007 0.001446 814.987 288.722 0.00007121658 0.00024989232 0.0000775952 0.0001050257 214673.733 197160.141 205347.068 2.15052 -12.25951 -0.08394 0.0002489689 -2.23941 39.005 0.001484 815.039 288.888 0.00007072718 0.00025033968 0.0000770497 0.0001050877 214721.519 197509.713 205445.068 2.20166 -12.55965 -0.08274 0.0002484855 -2.34422 40.004 0.001522 815.103 289.059 0.00007023931 0.00025077923 0.0000765032 0.0001051403 214780.418 197874.872 205557.758 2.25229 -12.85780 -0.08136 0.0002479916 -2.45113 41.003 0.001560 815.178 289.236 0.00006975306 0.00025121080 0.0000759559 0.0001051834 214850.488 198255.597 205685.210 2.30240 -13.15390 -0.07980 0.0002474873 -2.56013 42.001 0.001598 815.266 289.419 0.00006926854 0.00025163428 0.0000754079 0.0001052169 214931.794 198651.868 205827.502 2.35197 -13.44785 -0.07806 0.0002469728 -2.67119 43.026 0.001637 815.369 289.612 0.00006877321 0.00025206031 0.0000748449 0.0001052413 215026.997 199074.710 205989.056 2.40226 -13.74725 -0.07608 0.0002464343 -2.78729 44.025 0.001675 815.482 289.805 0.00006829257 0.00025246690 0.0000742961 0.0001052554 215131.297 199502.413 206161.680 2.45066 -14.03665 -0.07397 0.0002458996 -2.90247 45.023 0.001713 815.607 290.004 0.00006781401 0.00025286493 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0.013014 830.820 289.307 0.00009812205 0.00021558189 0.0001018233 0.0000880674 229778.094 203253.214 222609.752 5.38559 5.83363 4.30639 0.0002562387 1.95993 343.012 0.013052 830.208 289.110 0.00009769688 0.00021630824 0.0001015696 0.0000885544 229184.693 202678.360 221907.647 5.44008 5.51753 4.29780 0.0002564720 2.00064 344.011 0.013090 829.608 288.920 0.00009726819 0.00021703188 0.0001013076 0.0000890368 228603.874 202121.645 221220.034 5.49485 5.20025 4.28939 0.0002566924 2.03838 345.010 0.013128 829.019 288.737 0.00009683608 0.00021775273 0.0001010371 0.0000895146 228035.590 201582.980 220546.910 5.54989 4.88183 4.28115 0.0002568998 2.07316 346.008 0.013166 828.443 288.561 0.00009640062 0.00021847072 0.0001007584 0.0000899876 227479.792 201062.276 219888.270 5.60520 4.56234 4.27309 0.0002570940 2.10498 347.007 0.013204 827.878 288.393 0.00009596191 0.00021918576 0.0001004715 0.0000904557 226936.433 200559.446 219244.107 5.66076 4.24181 4.26521 0.0002572752 2.13387 348.006 0.013242 827.325 288.232 0.00009552002 0.00021989776 0.0001001764 0.0000909187 226405.461 200074.405 218614.413 5.71657 3.92031 4.25751 0.0002574432 2.15982 349.004 0.013280 826.784 288.078 0.00009507504 0.00022060665 0.0000998734 0.0000913765 225886.829 199607.067 217999.180 5.77261 3.59790 4.24998 0.0002575979 2.18284 350.003 0.013318 826.256 287.931 0.00009462705 0.00022131234 0.0000995624 0.0000918289 225380.485 199157.351 217398.396 5.82888 3.27461 4.24264 0.0002577393 2.20296 351.001 0.013356 825.739 287.791 0.00009417614 0.00022201477 0.0000992435 0.0000922759 224886.380 198725.173 216812.050 5.88536 2.95050 4.23546 0.0002578675 2.22017 352.000 0.013394 825.234 287.658 0.00009372240 0.00022271384 0.0000989170 0.0000927172 224404.463 198310.455 216240.129 5.94205 2.62563 4.22847 0.0002579822 2.23450 353.025 0.013433 824.728 287.529 0.00009325385 0.00022342775 0.0000985738 0.0000931642 223922.484 197902.896 215668.141 6.00043 2.29146 4.22147 0.0002580861 2.24620 354.024 0.013471 824.247 287.411 0.00009279461 0.00022411980 0.0000982319 0.0000935937 223465.108 197523.317 215125.406 6.05750 1.96520 4.21483 0.0002581736 2.25471 355.022 0.013509 823.779 287.299 0.00009233279 0.00022480826 0.0000978825 0.0000940172 223019.766 197160.966 214597.051 6.11474 1.63832 4.20837 0.0002582477 2.26036 356.021 0.013547 823.322 287.194 0.00009186847 0.00022549307 0.0000975258 0.0000944346 222586.407 196815.769 214083.062 6.17214 1.31089 4.20208 0.0002583084 2.26317 357.020 0.013585 822.877 287.096 0.00009140173 0.00022617413 0.0000971618 0.0000948456 222164.981 196487.656 213583.421 6.22969 0.98294 4.19597 0.0002583555 2.26315 358.018 0.013623 822.444 287.005 0.00009093265 0.00022685138 0.0000967908 0.0000952503 221755.437 196176.556 213098.112 6.28738 0.65454 4.19003 0.0002583891 2.26031 359.017 0.013661 822.024 286.921 0.00009046133 0.00022752474 0.0000964127 0.0000956484 221357.724 195882.402 212627.119 6.34520 0.32574 4.18427 0.0002584092 2.25467 360.015 0.013699 821.615 286.844 0.00008998784 0.00022819413 0.0000960278 0.0000960399 220971.794 195605.128 212170.423 6.40313 -0.00342 4.17868 0.0002584157 2.24624 Engine speed (Hz) = 73.0000000000 Output power (W) = 163.9567525487 Heat into heater (W) = 467.4283863292 Heat to regenerator (W) = -0.2495801156 Heat removal from cooler (W) = 305.0436943532 Approximate Pumping loss (W) = -235.9338114468 Thermal efficiency (%) = 35.0763362568 The average engine pressure (Pa) = 274878.9823054820 The exp space work per cycle (J) = 6.4108305960 The comp space work per cycle (J) = -4.1648476844 The net work per cycle (J) = 2.2459829116 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.0434207639 The expansion work for Vmin-to-Vmax (J) = 25.2894036755 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.024 0.000001 822.499 286.916 0.00009008563 0.00022797797 0.0000960243 0.0000960434 221457.992 195462.028 212446.383 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.010 0.000038 822.109 286.847 0.00008961646 0.00022863491 0.0000956377 0.0000964231 221090.494 195206.067 212008.644 0.05686 -0.32512 -0.00535 0.0002584088 -0.01131 2.022 0.000076 821.721 286.782 0.00008913254 0.00022930549 0.0000952339 0.0000968061 220724.832 194960.220 211573.506 0.11535 -0.65931 -0.01068 0.0002583880 -0.02573 3.008 0.000113 821.355 286.726 0.00008865942 0.00022995433 0.0000948343 0.0000971721 220380.201 194737.366 211163.854 0.17238 -0.98492 -0.01569 0.0002583544 -0.04248 4.020 0.000151 820.991 286.675 0.00008817162 0.00023061642 0.0000944173 0.0000975408 220037.923 194525.401 210757.528 0.23101 -1.31951 -0.02066 0.0002583061 -0.06246 5.006 0.000188 820.649 286.632 0.00008769490 0.00023125685 0.0000940052 0.0000978926 219715.963 194335.424 210375.898 0.28816 -1.64542 -0.02533 0.0002582458 -0.08460 6.018 0.000226 820.309 286.595 0.00008720357 0.00023191015 0.0000935757 0.0000982465 219396.869 194157.114 209998.317 0.34689 -1.98021 -0.02995 0.0002581702 -0.11009 7.004 0.000263 819.989 286.565 0.00008672357 0.00023254186 0.0000931515 0.0000985838 219097.387 193999.802 209644.645 0.40411 -2.30621 -0.03427 0.0002580833 -0.13756 8.016 0.000301 819.673 286.541 0.00008622904 0.00023318605 0.0000927099 0.0000989225 218801.282 193854.935 209295.748 0.46289 -2.64099 -0.03854 0.0002579804 -0.16849 9.002 0.000338 819.377 286.525 0.00008574610 0.00023380874 0.0000922742 0.0000992448 218524.093 193730.090 208969.976 0.52012 -2.96688 -0.04253 0.0002578670 -0.20123 10.014 0.000376 819.084 286.514 0.00008524872 0.00023444350 0.0000918211 0.0000995679 218250.790 193618.471 208649.706 0.57889 -3.30143 -0.04645 0.0002577370 -0.23754 11.000 0.000413 818.811 286.510 0.00008476317 0.00023505684 0.0000913745 0.0000998747 217995.715 193525.910 208351.783 0.63608 -3.62699 -0.05009 0.0002575972 -0.27549 12.012 0.000451 818.543 286.513 0.00008426329 0.00023568185 0.0000909103 0.0001001819 217745.037 193447.361 208060.090 0.69478 -3.96110 -0.05366 0.0002574402 -0.31712 13.025 0.000489 818.286 286.522 0.00008376227 0.00023630178 0.0000904409 0.0001004808 217505.757 193385.503 207782.860 0.75343 -4.29491 -0.05705 0.0002572696 -0.36141 14.010 0.000526 818.048 286.537 0.00008327344 0.00023690045 0.0000899787 0.0001007638 217283.685 193341.272 207526.814 0.81046 -4.61959 -0.06018 0.0002570905 -0.40709 15.023 0.000564 817.815 286.559 0.00008277045 0.00023751013 0.0000894991 0.0001010461 217066.780 193312.241 207278.103 0.86896 -4.95263 -0.06322 0.0002568932 -0.45660 16.008 0.000601 817.599 286.587 0.00008227986 0.00023809864 0.0000890274 0.0001013128 216866.420 193299.904 207049.811 0.92582 -5.27646 -0.06602 0.0002566882 -0.50732 17.021 0.000639 817.390 286.623 0.00008177526 0.00023869771 0.0000885382 0.0001015782 216671.739 193303.558 206829.594 0.98410 -5.60851 -0.06871 0.0002564645 -0.56198 18.006 0.000676 817.197 286.663 0.00008128327 0.00023927573 0.0000880575 0.0001018283 216492.951 193322.982 206629.039 1.04072 -5.93126 -0.07116 0.0002562338 -0.61769 19.019 0.000714 817.012 286.711 0.00008077740 0.00023986384 0.0000875594 0.0001020766 216320.359 193359.193 206437.303 1.09874 -6.26211 -0.07351 0.0002559839 -0.67743 20.004 0.000751 816.842 286.764 0.00008028437 0.00024043101 0.0000870702 0.0001023097 216163.017 193410.259 206264.479 1.15506 -6.58357 -0.07562 0.0002557280 -0.73804 21.017 0.000789 816.680 286.824 0.00007977760 0.00024100780 0.0000865637 0.0001025404 216012.394 193478.912 206101.227 1.21274 -6.91297 -0.07762 0.0002554522 -0.80280 22.002 0.000826 816.533 286.889 0.00007928388 0.00024156376 0.0000860667 0.0001027564 215876.393 193561.515 205956.144 1.26872 -7.23291 -0.07940 0.0002551712 -0.86825 23.015 0.000864 816.394 286.962 0.00007877659 0.00024212885 0.0000855525 0.0001029693 215747.637 193662.506 205821.393 1.32600 -7.56064 -0.08104 0.0002548699 -0.93794 24.000 0.000901 816.270 287.040 0.00007828253 0.00024267323 0.0000850483 0.0001031679 215632.885 193776.550 205704.077 1.38156 -7.87884 -0.08248 0.0002545642 -1.00817 25.013 0.000939 816.155 287.125 0.00007777509 0.00024322623 0.0000845270 0.0001033627 215525.916 193909.788 205597.864 1.43838 -8.20466 -0.08378 0.0002542377 -1.08273 26.025 0.000977 816.051 287.217 0.00007726773 0.00024377295 0.0000840023 0.0001035483 215429.962 194059.331 205506.131 1.49494 -8.52941 -0.08490 0.0002538987 -1.15972 27.011 0.001014 815.961 287.312 0.00007677387 0.00024429914 0.0000834884 0.0001037201 215347.106 194220.588 205430.741 1.54975 -8.84453 -0.08582 0.0002535565 -1.23701 28.023 0.001052 815.881 287.417 0.00007626693 0.00024483315 0.0000829575 0.0001038873 215272.861 194402.257 205367.638 1.60575 -9.16701 -0.08659 0.0002531929 -1.31875 29.009 0.001089 815.814 287.524 0.00007577368 0.00024534677 0.0000824379 0.0001040411 215211.130 194594.758 205320.166 1.65998 -9.47979 -0.08718 0.0002528270 -1.40063 30.021 0.001127 815.757 287.640 0.00007526756 0.00024586764 0.0000819015 0.0001041897 215158.576 194808.479 205285.785 1.71535 -9.79973 -0.08760 0.0002524392 -1.48705 31.007 0.001164 815.713 287.759 0.00007477530 0.00024636824 0.0000813769 0.0001043252 215117.968 195032.157 205266.331 1.76893 -10.10992 -0.08783 0.0002520501 -1.57345 32.019 0.001202 815.680 287.887 0.00007427040 0.00024687552 0.0000808357 0.0001044550 215087.117 195277.866 205260.787 1.82361 -10.42706 -0.08790 0.0002516387 -1.66447 33.005 0.001239 815.659 288.018 0.00007377953 0.00024736266 0.0000803066 0.0001045722 215067.659 195532.660 205269.479 1.87648 -10.73441 -0.08780 0.0002512268 -1.75530 34.017 0.001277 815.649 288.158 0.00007327625 0.00024785589 0.0000797612 0.0001046831 215058.557 195810.294 205292.916 1.93039 -11.04850 -0.08751 0.0002507923 -1.85085 35.003 0.001314 815.651 288.300 0.00007278716 0.00024832911 0.0000792284 0.0001047817 215060.313 196096.143 205329.908 1.98247 -11.35273 -0.08706 0.0002503581 -1.94605 36.015 0.001352 815.665 288.452 0.00007228593 0.00024880778 0.0000786794 0.0001048735 215073.045 196405.641 205382.502 2.03554 -11.66349 -0.08641 0.0002499009 -2.04604 37.001 0.001389 815.689 288.606 0.00007179903 0.00024926659 0.0000781435 0.0001049535 215096.115 196722.485 205447.981 2.08677 -11.96434 -0.08561 0.0002494450 -2.14553 38.013 0.001427 815.727 288.769 0.00007130027 0.00024973020 0.0000775917 0.0001050261 215130.807 197063.784 205529.942 2.13892 -12.27149 -0.08461 0.0002489658 -2.24988 39.025 0.001465 815.776 288.939 0.00007080291 0.00025018597 0.0000770387 0.0001050889 215176.688 197421.171 205626.874 2.19058 -12.57669 -0.08342 0.0002484756 -2.35641 40.011 0.001502 815.836 289.109 0.00007032012 0.00025062208 0.0000764993 0.0001051407 215232.161 197784.593 205735.706 2.24039 -12.87193 -0.08209 0.0002479880 -2.46221 41.023 0.001540 815.910 289.290 0.00006982589 0.00025106196 0.0000759444 0.0001051842 215300.280 198173.677 205862.394 2.29101 -13.17308 -0.08054 0.0002474766 -2.57298 42.009 0.001577 815.993 289.472 0.00006934636 0.00025148232 0.0000754035 0.0001052171 215377.523 198567.923 206000.345 2.33978 -13.46422 -0.07885 0.0002469687 -2.68287 43.021 0.001615 816.091 289.664 0.00006885571 0.00025190573 0.0000748475 0.0001052412 215468.134 198988.621 206157.102 2.38930 -13.76101 -0.07694 0.0002464368 -2.79780 44.007 0.001652 816.198 289.856 0.00006837988 0.00025230975 0.0000743058 0.0001052553 215567.421 199413.606 206324.500 2.43695 -14.04776 -0.07489 0.0002459091 -2.91170 45.019 0.001690 816.320 290.060 0.00006789327 0.00025271606 0.0000737493 0.0001052600 215680.837 199865.823 206511.688 2.48529 -14.33988 -0.07260 0.0002453573 -3.03070 46.005 0.001727 816.452 290.263 0.00006742160 0.00025310313 0.0000732074 0.0001052552 215802.506 200321.444 206708.913 2.53174 -14.62192 -0.07019 0.0002448106 -3.14852 47.017 0.001765 816.599 290.477 0.00006693950 0.00025349170 0.0000726510 0.0001052405 215939.108 200805.064 206926.949 2.57881 -14.90904 -0.06752 0.0002442395 -3.27151 48.003 0.001802 816.755 290.691 0.00006647246 0.00025386116 0.0000721097 0.0001052167 216083.565 201291.196 207154.437 2.62399 -15.18605 -0.06474 0.0002436744 -3.39318 49.015 0.001840 816.927 290.916 0.00006599536 0.00025423130 0.0000715542 0.0001051827 216243.810 201806.078 207403.802 2.66971 -15.46783 -0.06169 0.0002430849 -3.52007 50.001 0.001877 817.108 291.140 0.00006553342 0.00025458246 0.0000710139 0.0001051401 216411.540 202322.568 207662.052 2.71353 -15.73948 -0.05853 0.0002425020 -3.64549 51.013 0.001915 817.306 291.376 0.00006506181 0.00025493342 0.0000704600 0.0001050867 216595.968 202868.536 207943.296 2.75781 -16.01557 -0.05509 0.0002418946 -3.77620 52.026 0.001953 817.518 291.617 0.00006459318 0.00025527438 0.0000699070 0.0001050235 216792.886 203430.176 208240.928 2.80132 -16.28864 -0.05145 0.0002412785 -3.90880 53.011 0.001990 817.737 291.857 0.00006413988 0.00025559655 0.0000693698 0.0001049526 216996.790 203992.035 208546.638 2.84294 -16.55154 -0.04771 0.0002406704 -4.03972 54.024 0.002028 817.975 292.108 0.00006367752 0.00025591713 0.0000688194 0.0001048701 217218.888 204584.416 208877.136 2.88488 -16.81836 -0.04366 0.0002400375 -4.17601 55.009 0.002065 818.221 292.357 0.00006323059 0.00025621905 0.0000682849 0.0001047805 217447.686 205176.069 209215.213 2.92493 -17.07498 -0.03953 0.0002394135 -4.31047 56.022 0.002103 818.487 292.619 0.00006277505 0.00025651839 0.0000677377 0.0001046790 217695.767 205798.891 209579.355 2.96521 -17.33517 -0.03507 0.0002387647 -4.45034 57.007 0.002140 818.760 292.878 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287.426 0.00009290123 0.00022390352 0.0000982343 0.0000935908 223910.835 197349.025 215381.031 6.02069 1.97273 4.24130 0.0002581731 2.19237 355.002 0.013326 824.504 287.315 0.00009244590 0.00022458297 0.0000978895 0.0000940089 223473.511 196992.074 214858.591 6.07683 1.65034 4.23491 0.0002582464 2.19776 356.015 0.013364 824.044 287.209 0.00009197568 0.00022527711 0.0000975280 0.0000944320 223036.450 196642.913 214336.563 6.13465 1.31864 4.22853 0.0002583080 2.20041 357.000 0.013401 823.607 287.113 0.00009151542 0.00022594935 0.0000971689 0.0000948378 222622.604 196319.846 213842.406 6.19109 0.99514 4.22248 0.0002583547 2.20019 358.013 0.013439 823.171 287.021 0.00009104030 0.00022663594 0.0000967928 0.0000952481 222209.549 196005.341 213349.392 6.24921 0.66241 4.21645 0.0002583890 2.19711 359.025 0.013477 822.748 286.936 0.00009056284 0.00022731859 0.0000964096 0.0000956517 221808.578 195708.289 212871.052 6.30745 0.32924 4.21060 0.0002584093 2.19115 360.011 0.013514 822.347 286.860 0.00009009577 0.00022797941 0.0000960296 0.0000960381 221429.717 195435.759 212419.384 6.36428 0.00446 4.20507 0.0002584157 2.18259 Engine speed (Hz) = 74.0000000000 Output power (W) = 161.4915420118 Heat into heater (W) = 470.9567625248 Heat to regenerator (W) = 0.3301779571 Heat removal from cooler (W) = 311.1753820122 Approximate Pumping loss (W) = -244.6020061036 Thermal efficiency (%) = 34.2900994023 The average engine pressure (Pa) = 274941.8079851675 The exp space work per cycle (J) = 6.3753987546 The comp space work per cycle (J) = -4.1930806193 The net work per cycle (J) = 2.1823181353 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.0778285900 The expansion work for Vmin-to-Vmax (J) = 25.2601467253 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 823.244 286.932 0.00009020314 0.00022774926 0.0000960338 0.0000960339 221925.704 195296.189 212705.606 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.026 0.000038 822.841 286.860 0.00008971506 0.00022843324 0.0000956314 0.0000964292 221545.266 195030.843 212248.928 0.05882 -0.33831 -0.00559 0.0002584086 -0.01201 2.025 0.000075 822.461 286.797 0.00008923772 0.00022909514 0.0000952329 0.0000968070 221186.531 194789.554 211818.667 0.11618 -0.66803 -0.01085 0.0002583879 -0.02651 3.024 0.000112 822.092 286.741 0.00008875839 0.00022975295 0.0000948278 0.0000971779 220839.279 194565.048 211402.595 0.17362 -0.99800 -0.01594 0.0002583537 -0.04377 4.023 0.000149 821.736 286.691 0.00008827715 0.00023040659 0.0000944163 0.0000975417 220503.457 194357.269 211000.697 0.23113 -1.32816 -0.02086 0.0002583060 -0.06376 5.022 0.000186 821.391 286.648 0.00008779408 0.00023105598 0.0000939985 0.0000978982 220179.016 194166.160 210612.955 0.28870 -1.65848 -0.02560 0.0002582447 -0.08648 6.021 0.000223 821.057 286.612 0.00008730927 0.00023170105 0.0000935746 0.0000982474 219865.903 193991.667 210239.355 0.34631 -1.98890 -0.03017 0.0002581700 -0.11191 7.020 0.000260 820.736 286.582 0.00008682281 0.00023234172 0.0000931446 0.0000985891 219564.069 193833.739 209879.879 0.40395 -2.31936 -0.03457 0.0002580818 -0.14004 8.019 0.000297 820.426 286.559 0.00008633477 0.00023297790 0.0000927088 0.0000989233 219273.464 193692.324 209534.513 0.46161 -2.64982 -0.03879 0.0002579801 -0.17084 9.018 0.000334 820.128 286.543 0.00008584525 0.00023360952 0.0000922672 0.0000992499 218994.041 193567.376 209203.243 0.51928 -2.98022 -0.04284 0.0002578651 -0.20431 10.017 0.000371 819.841 286.533 0.00008535432 0.00023423651 0.0000918200 0.0000995687 218725.753 193458.848 208886.056 0.57693 -3.31051 -0.04672 0.0002577367 -0.24043 11.016 0.000408 819.566 286.530 0.00008486208 0.00023485878 0.0000913673 0.0000998796 218468.551 193366.696 208582.939 0.63456 -3.64063 -0.05043 0.0002575949 -0.27918 12.015 0.000445 819.303 286.533 0.00008436860 0.00023547625 0.0000909092 0.0001001826 218222.393 193290.878 208293.879 0.69216 -3.97054 -0.05397 0.0002574398 -0.32055 13.014 0.000482 819.051 286.543 0.00008387398 0.00023608884 0.0000904459 0.0001004776 217987.233 193231.354 208018.868 0.74971 -4.30018 -0.05733 0.0002572715 -0.36452 14.013 0.000519 818.810 286.559 0.00008337830 0.00023669646 0.0000899775 0.0001007645 217763.030 193188.085 207757.894 0.80719 -4.62950 -0.06053 0.0002570900 -0.41107 15.012 0.000556 818.582 286.582 0.00008288165 0.00023729904 0.0000895043 0.0001010431 217549.741 193161.035 207510.951 0.86459 -4.95844 -0.06355 0.0002568954 -0.46019 16.011 0.000593 818.364 286.611 0.00008238411 0.00023789649 0.0000890262 0.0001013135 217347.328 193150.169 207278.032 0.92190 -5.28695 -0.06640 0.0002566877 -0.51185 17.010 0.000630 818.159 286.646 0.00008188578 0.00023848872 0.0000885435 0.0001015754 217155.753 193155.453 207059.130 0.97910 -5.61498 -0.06907 0.0002564669 -0.56606 18.009 0.000667 817.964 286.688 0.00008138675 0.00023907565 0.0000880563 0.0001018290 216974.979 193176.858 206854.244 1.03618 -5.94246 -0.07158 0.0002562332 -0.62277 19.008 0.000704 817.781 286.736 0.00008088709 0.00023965718 0.0000875647 0.0001020740 216804.973 193214.352 206663.371 1.09313 -6.26934 -0.07392 0.0002559867 -0.68199 20.007 0.000741 817.610 286.790 0.00008038691 0.00024023323 0.0000870690 0.0001023103 216645.701 193267.909 206486.510 1.14992 -6.59557 -0.07608 0.0002557273 -0.74369 21.006 0.000778 817.450 286.851 0.00007988629 0.00024080370 0.0000865692 0.0001025380 216497.134 193337.501 206323.664 1.20654 -6.92109 -0.07807 0.0002554552 -0.80785 22.005 0.000815 817.301 286.918 0.00007938532 0.00024136851 0.0000860655 0.0001027570 216359.245 193423.104 206174.836 1.26299 -7.24584 -0.07989 0.0002551705 -0.87446 23.004 0.000852 817.164 286.991 0.00007888410 0.00024192755 0.0000855580 0.0001029671 216232.007 193524.694 206040.032 1.31923 -7.56977 -0.08154 0.0002548732 -0.94349 24.003 0.000889 817.039 287.070 0.00007838272 0.00024248074 0.0000850470 0.0001031684 216115.397 193642.248 205919.261 1.37526 -7.89281 -0.08302 0.0002545634 -1.01493 25.002 0.000926 816.924 287.155 0.00007788127 0.00024302797 0.0000845326 0.0001033607 216009.397 193775.746 205812.532 1.43106 -8.21490 -0.08432 0.0002542413 -1.08877 26.001 0.000963 816.821 287.247 0.00007737984 0.00024356915 0.0000840148 0.0001035440 215913.987 193925.167 205719.860 1.48661 -8.53599 -0.08546 0.0002539069 -1.16498 27.000 0.001000 816.730 287.344 0.00007687854 0.00024410417 0.0000834940 0.0001037183 215829.155 194090.494 205641.260 1.54190 -8.85601 -0.08642 0.0002535603 -1.24354 28.026 0.001038 816.648 287.451 0.00007636392 0.00024464713 0.0000829560 0.0001038878 215753.028 194276.825 205575.202 1.59840 -9.18351 -0.08723 0.0002531918 -1.32666 29.025 0.001075 816.579 287.561 0.00007586315 0.00024516935 0.0000824293 0.0001040435 215689.606 194474.338 205525.186 1.65310 -9.50119 -0.08784 0.0002528209 -1.40994 30.024 0.001112 816.522 287.676 0.00007536281 0.00024568509 0.0000819000 0.0001041901 215636.739 194687.704 205489.306 1.70750 -9.81761 -0.08828 0.0002524381 -1.49552 31.023 0.001149 816.476 287.798 0.00007486297 0.00024619424 0.0000813682 0.0001043274 215594.426 194916.908 205467.591 1.76157 -10.13271 -0.08854 0.0002520436 -1.58337 32.022 0.001186 816.442 287.926 0.00007436375 0.00024669668 0.0000808341 0.0001044554 215562.672 195161.935 205460.073 1.81529 -10.44644 -0.08864 0.0002516375 -1.67349 33.021 0.001223 816.419 288.060 0.00007386524 0.00024719231 0.0000802979 0.0001045741 215541.485 195422.770 205466.784 1.86864 -10.75871 -0.08855 0.0002512200 -1.76584 34.020 0.001260 816.407 288.199 0.00007336755 0.00024768101 0.0000797597 0.0001046834 215530.878 195699.398 205487.765 1.92162 -11.06947 -0.08830 0.0002507910 -1.86041 35.019 0.001297 816.407 288.344 0.00007287077 0.00024816264 0.0000792196 0.0001047833 215530.869 195991.807 205523.058 1.97419 -11.37864 -0.08786 0.0002503509 -1.95719 36.018 0.001334 816.419 288.496 0.00007237502 0.00024863709 0.0000786779 0.0001048737 215541.480 196299.980 205572.709 2.02635 -11.68617 -0.08726 0.0002498996 -2.05614 37.017 0.001371 816.441 288.653 0.00007188040 0.00024910424 0.0000781347 0.0001049547 215562.739 196623.903 205636.768 2.07807 -11.99197 -0.08647 0.0002494374 -2.15726 38.016 0.001408 816.476 288.815 0.00007138701 0.00024956394 0.0000775901 0.0001050263 215594.680 196963.561 205715.292 2.12934 -12.29598 -0.08551 0.0002489644 -2.26052 39.015 0.001445 816.522 288.984 0.00007089496 0.00025001608 0.0000770444 0.0001050883 215637.342 197318.937 205808.341 2.18014 -12.59813 -0.08437 0.0002484807 -2.36590 40.014 0.001482 816.579 289.158 0.00007040437 0.00025046050 0.0000764977 0.0001051408 215690.771 197690.016 205915.980 2.23044 -12.89834 -0.08306 0.0002479865 -2.47338 41.013 0.001519 816.649 289.338 0.00006991533 0.00025089708 0.0000759502 0.0001051838 215755.020 198076.779 206038.279 2.28024 -13.19655 -0.08156 0.0002474819 -2.58294 42.012 0.001556 816.730 289.523 0.00006942797 0.00025132566 0.0000754020 0.0001052172 215830.147 198479.207 206175.315 2.32951 -13.49266 -0.07989 0.0002469672 -2.69455 43.011 0.001593 816.823 289.714 0.00006894239 0.00025174609 0.0000748533 0.0001052410 215916.220 198897.279 206327.171 2.37823 -13.78662 -0.07803 0.0002464423 -2.80821 44.010 0.001630 816.927 289.910 0.00006845871 0.00025215824 0.0000743042 0.0001052553 216013.313 199330.972 206493.934 2.42638 -14.07834 -0.07599 0.0002459075 -2.92389 45.009 0.001667 817.044 290.112 0.00006797705 0.00025256193 0.0000737550 0.0001052600 216121.508 199780.260 206675.700 2.47395 -14.36773 -0.07376 0.0002453630 -3.04156 46.008 0.001704 817.172 290.320 0.00006749753 0.00025295700 0.0000732058 0.0001052551 216240.897 200245.116 206872.571 2.52091 -14.65473 -0.07136 0.0002448090 -3.16121 47.007 0.001741 817.313 290.533 0.00006702025 0.00025334330 0.0000726568 0.0001052407 216371.580 200725.510 207084.657 2.56724 -14.93924 -0.06876 0.0002442455 -3.28281 48.006 0.001778 817.466 290.751 0.00006654535 0.00025372065 0.0000721081 0.0001052167 216513.666 201221.406 207312.075 2.61292 -15.22119 -0.06598 0.0002436728 -3.40634 49.005 0.001815 817.631 290.974 0.00006607294 0.00025408888 0.0000715599 0.0001051831 216667.277 201732.767 207554.952 2.65793 -15.50048 -0.06301 0.0002430910 -3.53179 50.004 0.001852 817.809 291.203 0.00006560315 0.00025444779 0.0000710124 0.0001051399 216832.543 202259.550 207813.423 2.70226 -15.77703 -0.05985 0.0002425003 -3.65913 51.003 0.001889 817.999 291.437 0.00006513611 0.00025479721 0.0000704657 0.0001050873 217009.607 202801.709 208087.632 2.74587 -16.05076 -0.05649 0.0002419010 -3.78833 52.002 0.001926 818.202 291.677 0.00006467193 0.00025513694 0.0000699200 0.0001050251 217198.623 203359.190 208377.736 2.78875 -16.32157 -0.05294 0.0002412931 -3.91938 53.001 0.001963 818.418 291.921 0.00006421076 0.00025546678 0.0000693755 0.0001049534 217399.759 203931.934 208683.900 2.83087 -16.58936 -0.04920 0.0002406768 -4.05226 54.000 0.002000 818.647 292.170 0.00006375272 0.00025578652 0.0000688323 0.0001048722 217613.196 204519.876 209006.304 2.87222 -16.85405 -0.04525 0.0002400525 -4.18693 55.026 0.002038 818.896 292.432 0.00006328571 0.00025610417 0.0000682760 0.0001047790 217845.413 205139.450 209354.528 2.91385 -17.12256 -0.04099 0.0002394029 -4.32710 56.025 0.002075 819.152 292.691 0.00006283443 0.00025640277 0.0000677360 0.0001046786 218084.403 205757.963 209710.453 2.95355 -17.38065 -0.03664 0.0002387626 -4.46536 57.024 0.002112 819.422 292.956 0.00006238670 0.00025669059 0.0000671978 0.0001045689 218336.337 206391.424 210083.244 2.99241 -17.63532 -0.03208 0.0002381148 -4.60535 58.023 0.002149 819.705 293.225 0.00006194265 0.00025696739 0.0000666617 0.0001044498 218601.462 207039.729 210473.141 3.03039 -17.88649 -0.02731 0.0002374595 -4.74706 59.022 0.002186 820.003 293.499 0.00006150243 0.00025723291 0.0000661277 0.0001043214 218880.045 207702.762 210880.401 3.06748 -18.13403 -0.02233 0.0002367971 -4.89044 60.021 0.002223 820.315 293.778 0.00006106618 0.00025748689 0.0000655960 0.0001041837 219172.373 208380.395 211305.305 3.10365 -18.37784 -0.01713 0.0002361277 -5.03550 61.020 0.002260 820.642 294.062 0.00006063406 0.00025772905 0.0000650668 0.0001040367 219478.758 209072.481 211748.157 3.13887 -18.61781 -0.01171 0.0002354515 -5.18219 62.019 0.002297 820.983 294.349 0.00006020621 0.00025795909 0.0000645403 0.0001038805 219799.534 209778.856 212209.289 3.17311 -18.85380 -0.00607 0.0002347688 -5.33050 63.018 0.002334 821.340 294.642 0.00005978279 0.00025817671 0.0000640165 0.0001037152 220135.066 210499.335 212689.062 3.20636 -19.08571 -0.00020 0.0002340797 -5.48040 64.017 0.002371 821.713 294.938 0.00005936396 0.00025838157 0.0000634957 0.0001035408 220485.749 211233.709 213187.874 3.23858 -19.31339 0.00590 0.0002333845 -5.63187 65.016 0.002408 822.102 295.239 0.00005894989 0.00025857331 0.0000629781 0.0001033573 220852.012 211981.739 213706.168 3.26974 -19.53672 0.01224 0.0002326834 -5.78488 66.015 0.002445 822.508 295.544 0.00005854075 0.00025875156 0.0000624637 0.0001031648 221234.323 212743.150 214244.435 3.29981 -19.75556 0.01882 0.0002319765 -5.93942 67.014 0.002482 822.930 295.853 0.00005813670 0.00025891591 0.0000619527 0.0001029634 221633.196 213517.627 214803.228 3.32876 -19.96976 0.02566 0.0002312641 -6.09544 68.013 0.002519 823.370 296.166 0.00005773794 0.00025906590 0.0000614454 0.0001027531 222049.197 214304.802 215383.180 3.35655 -20.17915 0.03276 0.0002305465 -6.25294 69.012 0.002556 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828.716 288.258 0.00009572110 0.00021947591 0.0001001772 0.0000909175 227261.862 199711.545 219129.073 5.64999 3.91337 4.31025 0.0002574428 2.03685 349.002 0.012926 828.182 288.105 0.00009527733 0.00022018415 0.0000998740 0.0000913755 226748.712 199245.348 218512.510 5.70532 3.59162 4.30271 0.0002575976 2.05947 350.001 0.012963 827.660 287.958 0.00009483049 0.00022088930 0.0000995630 0.0000918281 226247.742 198796.868 217910.335 5.76087 3.26895 4.29534 0.0002577391 2.07916 351.000 0.013000 827.150 287.818 0.00009438066 0.00022159127 0.0000992440 0.0000922753 225758.899 198366.021 217322.537 5.81664 2.94542 4.28815 0.0002578673 2.09595 352.026 0.013038 826.638 287.682 0.00009391565 0.00022230883 0.0000989084 0.0000927286 225269.410 197941.800 216733.803 5.87413 2.61229 4.28095 0.0002579850 2.11018 353.025 0.013075 826.152 287.557 0.00009346001 0.00022300413 0.0000985738 0.0000931642 224804.984 197546.451 216175.107 5.93031 2.28716 4.27412 0.0002580861 2.12111 354.024 0.013112 825.678 287.438 0.00009300163 0.00022369601 0.0000982318 0.0000935939 224352.522 197168.496 215630.747 5.98667 1.96132 4.26746 0.0002581737 2.12916 355.023 0.013149 825.215 287.327 0.00009254059 0.00022438441 0.0000978822 0.0000940175 223911.970 196807.860 215100.708 6.04320 1.63482 4.26097 0.0002582478 2.13435 356.022 0.013186 824.764 287.223 0.00009207698 0.00022506925 0.0000975254 0.0000944350 223483.275 196464.468 214584.975 6.09989 1.30771 4.25466 0.0002583084 2.13670 357.021 0.013223 824.325 287.126 0.00009161088 0.00022575045 0.0000971613 0.0000948462 223066.381 196138.249 214083.531 6.15674 0.98004 4.24853 0.0002583555 2.13620 358.020 0.013260 823.898 287.035 0.00009114237 0.00022642794 0.0000967901 0.0000952510 222661.235 195829.133 213596.360 6.21373 0.65186 4.24257 0.0002583891 2.13289 359.019 0.013297 823.483 286.952 0.00009067153 0.00022710164 0.0000964119 0.0000956493 222267.783 195537.052 213123.446 6.27085 0.32323 4.23679 0.0002584092 2.12676 360.018 0.013334 823.079 286.875 0.00009019845 0.00022777147 0.0000960268 0.0000960409 221885.971 195261.939 212664.771 6.32808 -0.00581 4.23117 0.0002584157 2.11784 Engine speed (Hz) = 75.0000000000 Output power (W) = 158.8167780610 Heat into heater (W) = 474.6060419533 Heat to regenerator (W) = -0.4361178493 Heat removal from cooler (W) = 317.3380780811 Approximate Pumping loss (W) = -253.4913231826 Thermal efficiency (%) = 33.4628647809 The average engine pressure (Pa) = 275037.7677959496 The exp space work per cycle (J) = 6.3346985954 The comp space work per cycle (J) = -4.2171415546 The net work per cycle (J) = 2.1175570408 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.1134546142 The expansion work for Vmin-to-Vmax (J) = 25.2310116550 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.017 0.000001 823.977 286.945 0.00009030118 0.00022754738 0.0000960271 0.0000960406 222380.360 195117.982 212947.672 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000037 823.593 286.876 0.00008983292 0.00022820411 0.0000956408 0.0000964201 222017.257 194864.272 212508.311 0.05610 -0.32466 -0.00537 0.0002584089 -0.01176 2.015 0.000074 823.210 286.812 0.00008934951 0.00022887507 0.0000952371 0.0000968031 221655.675 194620.616 212071.101 0.11386 -0.65867 -0.01072 0.0002583882 -0.02666 3.027 0.000111 822.840 286.756 0.00008886402 0.00022954187 0.0000948266 0.0000971790 221305.804 194394.235 211648.427 0.17170 -0.99297 -0.01589 0.0002583536 -0.04439 4.012 0.000147 822.490 286.707 0.00008838973 0.00023018659 0.0000944209 0.0000975376 220976.576 194190.495 211251.112 0.22805 -1.31846 -0.02075 0.0002583066 -0.06434 5.024 0.000184 822.143 286.664 0.00008790037 0.00023084498 0.0000939976 0.0000978990 220649.648 193998.020 210857.065 0.28602 -1.65316 -0.02557 0.0002582446 -0.08761 6.009 0.000220 821.817 286.629 0.00008742249 0.00023148136 0.0000935797 0.0000982433 220342.637 193827.162 210487.571 0.34247 -1.97895 -0.03009 0.0002581710 -0.11293 7.021 0.000257 821.493 286.599 0.00008692961 0.00023213102 0.0000931440 0.0000985896 220038.437 193668.375 210122.086 0.40053 -2.31386 -0.03457 0.0002580816 -0.14168 8.006 0.000293 821.190 286.577 0.00008644846 0.00023275875 0.0000927143 0.0000989192 219753.438 193530.194 209780.351 0.45703 -2.63973 -0.03875 0.0002579815 -0.17229 9.019 0.000330 820.889 286.561 0.00008595241 0.00023339936 0.0000922669 0.0000992501 219471.758 193404.893 209443.366 0.51511 -2.97463 -0.04287 0.0002578650 -0.20646 10.004 0.000366 820.608 286.552 0.00008546833 0.00023401814 0.0000918260 0.0000995645 219208.573 193299.200 209129.334 0.57161 -3.30040 -0.04671 0.0002577385 -0.24231 11.016 0.000403 820.331 286.549 0.00008496944 0.00023464939 0.0000913673 0.0000998796 218949.212 193207.198 208820.793 0.62967 -3.63508 -0.05048 0.0002575949 -0.28183 12.001 0.000439 820.073 286.553 0.00008448277 0.00023525890 0.0000909157 0.0001001784 218707.648 193133.820 208534.412 0.68612 -3.96053 -0.05399 0.0002574421 -0.32287 13.013 0.000476 819.819 286.563 0.00008398139 0.00023588045 0.0000904462 0.0001004774 218470.415 193074.948 208254.268 0.74409 -4.29478 -0.05741 0.0002572717 -0.36767 14.026 0.000513 819.577 286.580 0.00008347887 0.00023649697 0.0000899716 0.0001007680 218244.326 193032.808 207988.500 0.80201 -4.62872 -0.06067 0.0002570877 -0.41513 15.011 0.000549 819.353 286.603 0.00008298895 0.00023709190 0.0000895049 0.0001010427 218035.002 193007.831 207743.707 0.85828 -4.95329 -0.06366 0.0002568957 -0.46384 16.023 0.000586 819.134 286.634 0.00008248447 0.00023769822 0.0000890205 0.0001013166 217830.771 192998.593 207506.281 0.91602 -5.28647 -0.06657 0.0002566851 -0.51649 17.008 0.000622 818.932 286.669 0.00008199281 0.00023828307 0.0000885445 0.0001015749 217642.632 193005.563 207289.049 0.97210 -5.61020 -0.06922 0.0002564674 -0.57021 18.020 0.000659 818.736 286.712 0.00008148673 0.00023887885 0.0000880508 0.0001018317 217460.094 193029.096 207079.941 1.02962 -5.94239 -0.07178 0.0002562306 -0.62797 19.005 0.000695 818.557 286.761 0.00008099368 0.00023945327 0.0000875661 0.0001020733 217292.988 193067.892 206890.255 1.08546 -6.26505 -0.07410 0.0002559874 -0.68664 20.017 0.000732 818.384 286.816 0.00008048636 0.00024003814 0.0000870638 0.0001023128 217131.994 193124.077 206709.455 1.14270 -6.59603 -0.07631 0.0002557245 -0.74945 21.002 0.000768 818.227 286.877 0.00007999228 0.00024060178 0.0000865710 0.0001025372 216985.782 193194.589 206547.312 1.19823 -6.91740 -0.07830 0.0002554562 -0.81299 22.015 0.000805 818.076 286.946 0.00007948408 0.00024117538 0.0000860605 0.0001027591 216846.199 193283.320 206394.824 1.25512 -7.24694 -0.08016 0.0002551676 -0.88077 23.027 0.000842 817.938 287.021 0.00007897558 0.00024174313 0.0000855463 0.0001029719 216717.423 193388.511 206256.693 1.31181 -7.57567 -0.08185 0.0002548662 -0.95105 24.012 0.000878 817.814 287.100 0.00007848063 0.00024228983 0.0000850424 0.0001031702 216602.474 193506.636 206136.084 1.36676 -7.89466 -0.08333 0.0002545606 -1.02180 25.024 0.000915 817.698 287.187 0.00007797182 0.00024284573 0.0000845210 0.0001033649 216494.944 193644.236 206026.305 1.42302 -8.22159 -0.08467 0.0002542340 -1.09693 26.009 0.000951 817.597 287.279 0.00007747674 0.00024338069 0.0000840105 0.0001035455 216400.625 193793.856 205933.303 1.47751 -8.53872 -0.08581 0.0002539041 -1.17238 27.022 0.000988 817.503 287.379 0.00007696800 0.00024392434 0.0000834827 0.0001037220 216314.259 193963.787 205851.926 1.53326 -8.86360 -0.08680 0.0002535527 -1.25231 28.007 0.001024 817.424 287.482 0.00007647318 0.00024444719 0.0000829662 0.0001038847 216240.502 194144.829 205786.591 1.58723 -9.17863 -0.08760 0.0002531989 -1.33237 29.019 0.001061 817.353 287.594 0.00007596490 0.00024497816 0.0000824326 0.0001040426 216175.244 194347.022 205733.688 1.64241 -9.50122 -0.08825 0.0002528232 -1.41701 30.004 0.001097 817.296 287.709 0.00007547072 0.00024548846 0.0000819107 0.0001041872 216122.007 194559.422 205696.102 1.69580 -9.81389 -0.08871 0.0002524460 -1.50163 31.016 0.001134 817.248 287.834 0.00007496330 0.00024600633 0.0000813719 0.0001043265 216077.829 194793.813 205671.769 1.75034 -10.13394 -0.08901 0.0002520464 -1.59090 32.001 0.001170 817.213 287.961 0.00007447015 0.00024650365 0.0000808453 0.0001044528 216045.100 195037.512 205662.037 1.80307 -10.44401 -0.08913 0.0002516461 -1.67998 33.013 0.001207 817.188 288.097 0.00007396398 0.00024700795 0.0000803020 0.0001045732 216022.006 195304.043 205666.397 1.85690 -10.76125 -0.08907 0.0002512232 -1.77381 34.026 0.001244 817.174 288.240 0.00007345861 0.00024750518 0.0000797565 0.0001046840 216009.610 195586.843 205685.357 1.91035 -11.07697 -0.08884 0.0002507885 -1.86992 35.011 0.001280 817.172 288.384 0.00007296777 0.00024798209 0.0000792241 0.0001047825 216007.833 195877.601 205717.858 1.96197 -11.38262 -0.08844 0.0002503546 -1.96560 36.023 0.001317 817.182 288.538 0.00007246429 0.00024846502 0.0000786751 0.0001048742 216016.595 196192.457 205765.752 2.01461 -11.69512 -0.08786 0.0002498973 -2.06614 37.008 0.001353 817.202 288.694 0.00007197548 0.00024892777 0.0000781396 0.0001049541 216035.446 196514.378 205826.499 2.06540 -11.99750 -0.08711 0.0002494416 -2.16609 38.020 0.001390 817.234 288.861 0.00007147432 0.00024939589 0.0000775878 0.0001050266 216065.466 196861.233 205903.530 2.11716 -12.30650 -0.08617 0.0002489623 -2.27099 39.005 0.001426 817.277 289.028 0.00007098798 0.00024984396 0.0000770497 0.0001050877 216105.066 197214.258 205992.739 2.16705 -12.60534 -0.08508 0.0002484855 -2.37514 40.018 0.001463 817.332 289.206 0.00007048957 0.00025029673 0.0000764957 0.0001051410 216156.490 197593.050 206099.148 2.21784 -12.91054 -0.08378 0.0002479847 -2.48431 41.003 0.001499 817.398 289.384 0.00007000612 0.00025072959 0.0000759559 0.0001051834 216217.008 197977.117 206217.072 2.26677 -13.20554 -0.08234 0.0002474873 -2.59257 42.015 0.001536 817.476 289.573 0.00006951091 0.00025116643 0.0000754004 0.0001052173 216290.037 198387.777 206353.140 2.31652 -13.50665 -0.08067 0.0002469657 -2.70593 43.027 0.001573 817.567 289.768 0.00006901750 0.00025159498 0.0000748444 0.0001052413 216374.111 198814.558 206504.364 2.36573 -13.80557 -0.07882 0.0002464337 -2.82138 44.012 0.001609 817.666 289.963 0.00006853926 0.00025200383 0.0000743030 0.0001052553 216466.585 199245.257 206666.135 2.41305 -14.09423 -0.07684 0.0002459064 -2.93569 45.024 0.001646 817.781 290.169 0.00006804974 0.00025241553 0.0000737465 0.0001052600 216572.676 199703.776 206847.535 2.46110 -14.38858 -0.07462 0.0002453545 -3.05520 46.009 0.001682 817.903 290.375 0.00006757552 0.00025280768 0.0000732050 0.0001052551 216686.738 200165.304 207038.860 2.50725 -14.67263 -0.07228 0.0002448082 -3.17343 47.022 0.001719 818.041 290.593 0.00006709038 0.00025320188 0.0000726487 0.0001052404 216815.205 200655.450 207250.848 2.55407 -14.96208 -0.06969 0.0002442371 -3.29691 48.007 0.001755 818.188 290.809 0.00006662066 0.00025357667 0.0000721077 0.0001052166 216951.240 201147.688 207472.157 2.59899 -15.24121 -0.06698 0.0002436723 -3.41896 49.019 0.001792 818.350 291.037 0.00006614039 0.00025395269 0.0000715522 0.0001051825 217102.519 201669.326 207715.208 2.64448 -15.52543 -0.06401 0.0002430827 -3.54633 50.004 0.001828 818.520 291.265 0.00006567564 0.00025430942 0.0000710124 0.0001051399 217260.992 202192.126 207966.995 2.68808 -15.79928 -0.06093 0.0002425003 -3.67212 51.016 0.001865 818.708 291.503 0.00006520074 0.00025466651 0.0000704584 0.0001050865 217435.604 202745.085 208241.655 2.73217 -16.07791 -0.05757 0.0002418929 -3.80329 52.001 0.001901 818.903 291.741 0.00006474148 0.00025500445 0.0000699204 0.0001050251 217617.067 203298.263 208524.492 2.77436 -16.34615 -0.05411 0.0002412935 -3.93274 53.014 0.001938 819.115 291.990 0.00006427247 0.00025534181 0.0000693686 0.0001049524 217815.631 203882.332 208831.389 2.81697 -16.61881 -0.05035 0.0002406690 -4.06762 54.026 0.001975 819.342 292.245 0.00006380665 0.00025566886 0.0000688182 0.0001048699 218026.606 204482.070 209154.896 2.85878 -16.88830 -0.04640 0.0002400362 -4.20435 55.011 0.002011 819.574 292.497 0.00006335662 0.00025597695 0.0000682842 0.0001047804 218243.983 205080.568 209485.791 2.89869 -17.14737 -0.04235 0.0002394126 -4.33913 56.023 0.002048 819.827 292.762 0.00006289751 0.00025628298 0.0000677370 0.0001046788 218480.053 205710.991 209842.668 2.93888 -17.41030 -0.03798 0.0002387638 -4.47943 57.008 0.002084 820.086 293.024 0.00006245427 0.00025657016 0.0000672064 0.0001045707 218722.279 206339.173 210206.455 2.97716 -17.66280 -0.03353 0.0002381251 -4.61764 58.020 0.002121 820.366 293.299 0.00006200243 0.00025685422 0.0000666630 0.0001044501 218984.368 206999.908 210597.605 3.01562 -17.91876 -0.02875 0.0002374612 -4.76142 59.005 0.002157 820.652 293.571 0.00006156655 0.00025711954 0.0000661365 0.0001043236 219252.413 207657.367 210995.229 3.05218 -18.16426 -0.02388 0.0002368081 -4.90298 60.018 0.002194 820.960 293.855 0.00006112256 0.00025738059 0.0000655977 0.0001041841 219541.597 208347.944 211421.703 3.08882 -18.41282 -0.01867 0.0002361299 -5.05014 61.003 0.002230 821.275 294.136 0.00006069461 0.00025762298 0.0000650760 0.0001040393 219836.594 209034.168 211854.274 3.12355 -18.65088 -0.01338 0.0002354633 -5.19494 62.015 0.002267 821.613 294.430 0.00006025908 0.00025785988 0.0000645423 0.0001038812 220154.134 209753.995 212317.310 3.15827 -18.89156 -0.00771 0.0002347715 -5.34540 63.000 0.002303 821.957 294.719 0.00005983968 0.00025807818 0.0000640259 0.0001037183 220477.408 210468.336 212786.139 3.19108 -19.12172 -0.00198 0.0002340922 -5.49336 64.012 0.002340 822.326 295.022 0.00005941325 0.00025828967 0.0000634982 0.0001035416 220824.779 211216.660 213287.213 3.22376 -19.35401 0.00415 0.0002333878 -5.64701 65.025 0.002377 822.711 295.329 0.00005899169 0.00025848774 0.0000629736 0.0001033557 221187.917 211979.073 213808.230 3.25536 -19.58185 0.01053 0.0002326773 -5.80224 66.010 0.002413 823.102 295.631 0.00005858636 0.00025866719 0.0000624664 0.0001031659 221556.838 212734.131 214334.794 3.28505 -19.79912 0.01697 0.0002319803 -5.95477 67.022 0.002450 823.521 295.946 0.00005817493 0.00025883757 0.0000619487 0.0001029618 221952.562 213523.461 214896.726 3.31443 -20.01772 0.02384 0.0002312585 -6.11304 68.007 0.002486 823.945 296.256 0.00005777982 0.00025898924 0.0000614485 0.0001027544 222354.256 214304.035 215464.271 3.34189 -20.22570 0.03079 0.0002305509 -6.26848 69.019 0.002523 824.400 296.578 0.00005737926 0.00025913008 0.0000609381 0.0001025324 222784.878 215118.775 216069.707 3.36892 -20.43443 0.03819 0.0002298185 -6.42969 70.004 0.002559 824.861 296.896 0.00005699512 0.00025925194 0.0000604454 0.0001023077 223221.845 215923.130 216681.156 3.39400 -20.63243 0.04567 0.0002291012 -6.58794 71.016 0.002596 825.354 297.225 0.00005660627 0.00025936089 0.0000599431 0.0001020680 223690.253 216761.136 217333.660 3.41849 -20.83050 0.05365 0.0002283592 -6.75199 72.001 0.002632 825.853 297.548 0.00005623397 0.00025945026 0.0000594586 0.0001018263 224165.697 217586.693 217993.256 3.44102 -21.01770 0.06172 0.0002276329 -6.91295 73.014 0.002669 826.389 297.882 0.00005585779 0.00025952395 0.0000589649 0.0001015693 224675.726 218444.552 218698.416 3.46276 -21.20412 0.07035 0.0002268822 -7.07972 74.026 0.002706 826.947 298.218 0.00005548849 0.00025957772 0.0000584759 0.0001013035 225208.867 219310.224 219433.983 3.48298 -21.38409 0.07935 0.0002261275 -7.24784 75.011 0.002742 827.515 298.546 0.00005513616 0.00025960833 0.0000580047 0.0001010367 225751.692 220157.012 220183.978 3.50105 -21.55239 0.08852 0.0002253895 -7.41267 76.023 0.002779 828.127 298.880 0.00005478196 0.00025960872 0.0000575253 0.0001007541 226338.274 221021.566 221008.793 3.51751 -21.71662 0.09861 0.0002246274 -7.58335 77.008 0.002815 828.755 299.207 0.00005444564 0.00025959177 0.0000570636 0.0001004711 226940.256 221872.586 221832.374 3.53207 -21.86971 0.10867 0.0002238827 -7.75062 78.021 0.002852 829.428 299.550 0.00005410790 0.00025956360 0.0000565943 0.0001001719 227587.437 222765.921 222685.379 3.54591 -22.02162 0.11908 0.0002231143 -7.92374 79.006 0.002888 830.106 299.889 0.00005378645 0.00025952587 0.0000561428 0.0000998729 228241.251 223653.584 223522.716 3.55833 -22.16441 0.12932 0.0002223638 -8.09333 80.018 0.002925 830.825 300.245 0.00005346297 0.00025947654 0.0000556842 0.0000995576 228934.978 224585.108 224391.827 3.57004 -22.30625 0.13995 0.0002215899 -8.26879 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0.00017110324 0.0001001832 0.0000566116 289748.357 273317.233 289642.955 2.76136 20.16355 5.19617 0.0002231428 -6.09493 283.002 0.010344 887.254 314.466 0.00011380356 0.00017173404 0.0001004740 0.0000570684 288424.247 271591.604 288272.002 2.79196 20.04036 5.17940 0.0002238905 -5.88633 284.014 0.010381 886.068 313.831 0.00011375059 0.00017239004 0.0001007648 0.0000575430 287073.930 269834.572 286866.188 2.82372 19.90829 5.16220 0.0002246558 -5.67412 285.026 0.010418 884.887 313.201 0.00011368852 0.00017305346 0.0001010471 0.0000580226 285734.506 268094.640 285464.297 2.85581 19.77079 5.14505 0.0002254177 -5.46419 286.011 0.010454 883.744 312.593 0.00011361947 0.00017370575 0.0001013136 0.0000584940 284441.907 266418.472 284104.648 2.88734 19.63187 5.12842 0.0002261556 -5.26216 287.024 0.010491 882.575 311.974 0.00011353967 0.00017438283 0.0001015790 0.0000589832 283124.500 264713.278 282712.263 2.92008 19.48391 5.11138 0.0002269102 -5.05685 288.009 0.010527 881.444 311.377 0.00011345352 0.00017504779 0.0001018289 0.0000594636 281853.661 263071.536 281362.917 2.95227 19.33500 5.09488 0.0002276405 -4.85940 289.021 0.010564 880.288 310.769 0.00011335632 0.00017573728 0.0001020771 0.0000599617 280558.956 261402.347 279982.141 2.98568 19.17694 5.07799 0.0002283868 -4.65890 290.006 0.010600 879.169 310.183 0.00011325341 0.00017641376 0.0001023101 0.0000604505 279310.524 259796.218 278645.023 3.01853 19.01837 5.06163 0.0002291086 -4.46621 291.018 0.010637 878.027 309.588 0.00011313916 0.00017711453 0.0001025408 0.0000609570 278039.160 258164.200 277277.724 3.05265 18.85056 5.04490 0.0002298458 -4.27067 292.003 0.010673 876.922 309.014 0.00011301983 0.00017780144 0.0001027566 0.0000614536 276813.728 256594.761 275954.558 3.08619 18.68267 5.02872 0.0002305582 -4.08288 293.016 0.010710 875.793 308.431 0.00011288888 0.00017851239 0.0001029695 0.0000619678 275566.288 255000.959 274602.418 3.12102 18.50545 5.01218 0.0002312854 -3.89246 294.000 0.010746 874.703 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868.203 304.586 0.00011175997 0.00018354898 0.0001041895 0.0000656177 267279.428 244524.636 265492.737 3.37253 17.15673 4.90074 0.0002361552 -2.64931 301.005 0.011002 867.168 304.073 0.00011157106 0.00018427105 0.0001043249 0.0000661420 266163.497 243130.543 264249.808 3.40942 16.95083 4.88553 0.0002368149 -2.48526 302.017 0.011039 866.113 303.553 0.00011136944 0.00018501608 0.0001044548 0.0000666832 265029.519 241718.433 262982.992 3.44773 16.73528 4.87003 0.0002374859 -2.31949 303.002 0.011075 865.095 303.055 0.00011116609 0.00018574361 0.0001045719 0.0000672118 263938.855 240364.722 261761.006 3.48541 16.52179 4.85509 0.0002381317 -2.16099 304.014 0.011112 864.059 302.550 0.00011094982 0.00018649385 0.0001046828 0.0000677572 262830.977 238994.281 260516.200 3.52454 16.29859 4.83986 0.0002387880 -2.00098 305.027 0.011149 863.031 302.053 0.00011072627 0.00018724644 0.0001047840 0.0000683045 261736.419 237645.060 259282.902 3.56408 16.07163 4.82477 0.0002394365 -1.84391 306.012 0.011185 862.041 301.576 0.00011050186 0.00018798075 0.0001048732 0.0000688386 260684.278 236352.721 258094.191 3.60296 15.84727 4.81023 0.0002400598 -1.69394 307.024 0.011222 861.032 301.095 0.00011026423 0.00018873741 0.0001049553 0.0000693891 259616.149 235045.506 256884.235 3.64334 15.61312 4.79543 0.0002406924 -1.54275 308.009 0.011258 860.060 300.634 0.00011002630 0.00018947533 0.0001050258 0.0000699260 258589.809 233794.102 255718.625 3.68303 15.38190 4.78117 0.0002412998 -1.39853 309.021 0.011295 859.071 300.167 0.00010977496 0.00019023534 0.0001050887 0.0000704789 257548.275 232529.002 254532.791 3.72424 15.14085 4.76666 0.0002419156 -1.25328 310.006 0.011331 858.119 299.721 0.00010952389 0.00019097619 0.0001051404 0.0000710180 256547.877 231318.597 253391.004 3.76474 14.90306 4.75270 0.0002425064 -1.11487 311.018 0.011368 857.150 299.271 0.00010925922 0.00019173888 0.0001051840 0.0000715728 255533.066 230095.639 252229.998 3.80679 14.65539 4.73849 0.0002431048 -0.97563 312.003 0.011404 856.217 298.840 0.00010899536 0.00019248202 0.0001052169 0.0000721133 254558.716 228926.224 251112.685 3.84811 14.41130 4.72482 0.0002436782 -0.84308 313.016 0.011441 855.268 298.405 0.00010871775 0.00019324674 0.0001052411 0.0000726693 253570.717 227745.363 249977.141 3.89100 14.15729 4.71093 0.0002442584 -0.70988 314.001 0.011477 854.355 297.990 0.00010844147 0.00019399154 0.0001052552 0.0000732106 252622.488 226616.860 248884.886 3.93314 13.90718 4.69757 0.0002448139 -0.58325 315.013 0.011514 853.427 297.571 0.00010815128 0.00019475767 0.0001052600 0.0000737672 251661.360 225477.986 247775.372 3.97687 13.64711 4.68400 0.0002453752 -0.45615 316.025 0.011551 852.510 297.160 0.00010785486 0.00019552429 0.0001052550 0.0000743237 250713.862 224360.334 246679.248 4.02103 13.38408 4.67059 0.0002459267 -0.33215 317.010 0.011587 851.627 296.768 0.00010756055 0.00019627051 0.0001052406 0.0000748650 249805.060 223293.210 245625.718 4.06440 13.12538 4.65770 0.0002464536 -0.21449 318.023 0.011624 850.732 296.373 0.00010725212 0.00019703765 0.0001052162 0.0000754210 248884.462 222217.275 244556.365 4.10939 12.85669 4.64462 0.0002469852 -0.09664 319.008 0.011660 849.870 295.997 0.00010694630 0.00019778412 0.0001051830 0.0000759615 248001.827 221190.632 243529.093 4.15357 12.59261 4.63205 0.0002474925 0.01503 320.020 0.011697 848.996 295.618 0.00010662622 0.00019855125 0.0001051392 0.0000765163 247108.114 220156.181 242486.931 4.19938 12.31853 4.61930 0.0002480035 0.12671 321.005 0.011733 848.156 295.257 0.00010630926 0.00019929744 0.0001050872 0.0000770553 246251.621 219169.770 241486.301 4.24436 12.04933 4.60706 0.0002484905 0.23237 322.017 0.011770 847.304 294.893 0.00010597790 0.00020006402 0.0001050240 0.0000776083 245384.751 218176.527 240471.700 4.29100 11.77012 4.59465 0.0002489803 0.33786 323.002 0.011806 846.485 294.548 0.00010565015 0.00020080943 0.0001049533 0.0000781451 244554.348 217230.066 239498.047 4.33677 11.49604 4.58274 0.0002494464 0.43749 324.014 0.011843 845.655 294.201 0.00010530788 0.00020157496 0.0001048709 0.0000786955 243714.259 216277.725 238511.327 4.38422 11.21194 4.57067 0.0002499145 0.53679 325.027 0.011880 844.837 293.861 0.00010496022 0.00020233977 0.0001047789 0.0000792444 242887.713 215345.992 237538.846 4.43207 10.92546 4.55877 0.0002503713 0.63293 326.012 0.011916 844.051 293.539 0.00010461686 0.00020308311 0.0001046800 0.0000797768 242096.482 214459.135 236606.379 4.47901 10.64449 4.54737 0.0002508049 0.72346 327.024 0.011953 843.255 293.215 0.00010425884 0.00020384616 0.0001045689 0.0000803222 241296.582 213567.796 235662.181 4.52764 10.35350 4.53582 0.0002512391 0.81341 328.009 0.011989 842.492 292.908 0.00010390558 0.00020458756 0.0001044515 0.0000808508 240531.224 212720.069 234757.341 4.57534 10.06826 4.52475 0.0002516503 0.89790 329.021 0.012026 841.718 292.600 0.00010353754 0.00020534839 0.0001043215 0.0000813919 239757.857 211868.764 233841.639 4.62474 9.77299 4.51355 0.0002520614 0.98163 330.006 0.012062 840.977 292.309 0.00010317472 0.00020608742 0.0001041858 0.0000819161 239018.254 211059.809 232964.618 4.67318 9.48370 4.50282 0.0002524499 1.06008 331.019 0.012099 840.227 292.017 0.00010279704 0.00020684560 0.0001040369 0.0000824524 238271.291 210248.165 232077.593 4.72333 9.18440 4.49197 0.0002528374 1.13762 332.004 0.012135 839.509 291.740 0.00010242500 0.00020758184 0.0001038830 0.0000829716 237557.310 209477.612 231228.548 4.77249 8.89130 4.48158 0.0002532026 1.21005 333.016 0.012172 838.782 291.463 0.00010203802 0.00020833695 0.0001037156 0.0000835024 236836.607 208705.244 230370.345 4.82337 8.58818 4.47108 0.0002535659 1.28140 334.001 0.012208 838.086 291.202 0.00010165711 0.00020907002 0.0001035437 0.0000840158 236148.101 207972.717 229549.402 4.87322 8.29149 4.46104 0.0002539075 1.34781 335.013 0.012245 837.382 290.941 0.00010126118 0.00020982166 0.0001033578 0.0000845404 235453.499 207239.236 228720.137 4.92480 7.98480 4.45089 0.0002542463 1.41299 336.025 0.012282 836.690 290.687 0.00010086086 0.00021057140 0.0001031628 0.0000850617 234772.063 206525.315 227905.573 4.97674 7.67638 4.44093 0.0002545725 1.47504 337.010 0.012318 836.029 290.448 0.00010046721 0.00021129895 0.0001029641 0.0000855654 234121.638 205849.368 227127.153 5.02759 7.37470 4.43141 0.0002548776 1.53243 338.023 0.012355 835.361 290.210 0.00010005847 0.00021204465 0.0001027510 0.0000860796 233466.043 205173.743 226341.648 5.08019 7.06304 4.42180 0.0002551786 1.58835 339.008 0.012391 834.722 289.986 0.00009965680 0.00021276809 0.0001025349 0.0000865761 232840.672 204534.867 225591.529 5.13168 6.75831 4.41262 0.0002554591 1.63977 340.020 0.012428 834.078 289.763 0.00009923998 0.00021350937 0.0001023040 0.0000870825 232210.733 203897.148 224835.133 5.18491 6.44363 4.40337 0.0002557345 1.68957 341.005 0.012464 833.462 289.554 0.00009883062 0.00021422834 0.0001020708 0.0000875712 231610.230 203294.965 224113.352 5.23700 6.13607 4.39454 0.0002559900 1.73507 342.017 0.012501 832.841 289.346 0.00009840606 0.00021496486 0.0001018224 0.0000880692 231005.752 202694.767 223386.094 5.29084 5.81859 4.38564 0.0002562396 1.77879 343.002 0.012537 832.249 289.151 0.00009798934 0.00021567903 0.0001015723 0.0000885495 230429.925 202128.905 222692.671 5.34351 5.50840 4.37716 0.0002564697 1.81837 344.015 0.012574 831.652 288.958 0.00009755739 0.00021641044 0.0001013066 0.0000890385 229850.706 201565.848 221994.560 5.39792 5.18833 4.36862 0.0002566932 1.85604 345.027 0.012611 831.067 288.773 0.00009712183 0.00021713913 0.0001010324 0.0000895228 229284.210 201021.474 221311.221 5.45261 4.86703 4.36026 0.0002569032 1.89066 346.012 0.012647 830.509 288.600 0.00009669465 0.00021784543 0.0001007574 0.0000899893 228745.185 200509.656 220660.526 5.50608 4.55328 4.35230 0.0002570947 1.92141 347.024 0.012684 829.948 288.429 0.00009625220 0.00021856851 0.0001004665 0.0000904638 228203.632 200001.868 220006.318 5.56129 4.22971 4.34430 0.0002572782 1.95003 348.009 0.012720 829.414 288.270 0.00009581848 0.00021926919 0.0001001754 0.0000909204 227688.770 199525.473 219383.955 5.61524 3.91386 4.33668 0.0002574438 1.97498 349.021 0.012757 828.877 288.114 0.00009536949 0.00021998633 0.0000998681 0.0000913844 227171.942 199053.918 218758.851 5.67094 3.58823 4.32904 0.0002576005 1.99764 350.006 0.012793 828.366 287.970 0.00009492957 0.00022068108 0.0000995612 0.0000918306 226681.031 198612.607 218164.787 5.72535 3.27047 4.32177 0.0002577398 2.01682 351.019 0.012830 827.852 287.829 0.00009447437 0.00022139195 0.0000992380 0.0000922836 226188.708 198176.940 217568.748 5.78149 2.94299 4.31448 0.0002578696 2.03357 352.004 0.012866 827.364 287.698 0.00009402857 0.00022208046 0.0000989158 0.0000927188 225721.532 197770.387 217002.939 5.83631 2.62353 4.30756 0.0002579826 2.04701 353.016 0.012903 826.875 287.571 0.00009356749 0.00022278477 0.0000985769 0.0000931603 225253.491 197370.280 216435.915 5.89286 2.29440 4.30062 0.0002580852 2.05790 354.001 0.012939 826.410 287.455 0.00009311613 0.00022346673 0.0000982397 0.0000935840 224809.831 196998.171 215898.311 5.94805 1.97344 4.29404 0.0002581718 2.06566 355.013 0.012976 825.944 287.342 0.00009264952 0.00022416416 0.0000978857 0.0000940134 224365.848 196633.309 215360.246 6.00496 1.64287 4.28746 0.0002582471 2.07074 356.026 0.013013 825.491 287.236 0.00009218021 0.00022485798 0.0000975241 0.0000944365 223933.972 196286.195 214836.835 6.06204 1.31165 4.28106 0.0002583086 2.07288 357.011 0.013049 825.061 287.141 0.00009172111 0.00022552952 0.0000971651 0.0000948420 223525.333 195965.426 214341.620 6.11772 0.98881 4.27500 0.0002583551 2.07217 358.023 0.013086 824.631 287.049 0.00009124677 0.00022621600 0.0000967890 0.0000952522 223117.174 195653.111 213847.072 6.17510 0.65646 4.26895 0.0002583892 2.06858 359.008 0.013122 824.225 286.967 0.00009078292 0.00022688024 0.0000964162 0.0000956449 222731.503 195366.065 213379.907 6.23105 0.33261 4.26324 0.0002584091 2.06232 360.020 0.013159 823.818 286.890 0.00009030388 0.00022755907 0.0000960260 0.0000960417 222346.836 195088.272 212914.155 6.28867 -0.00067 4.25754 0.0002584157 2.05304 Engine speed (Hz) = 76.0000000000 Output power (W) = 156.0088577427 Heat into heater (W) = 477.9391101902 Heat to regenerator (W) = -0.0505504312 Heat removal from cooler (W) = 323.5729231024 Approximate Pumping loss (W) = -262.5245606916 Thermal efficiency (%) = 32.6419944333 The average engine pressure (Pa) = 275106.7023455877 The exp space work per cycle (J) = 6.2975102184 The comp space work per cycle (J) = -4.2447620902 The net work per cycle (J) = 2.0527481282 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.1490503677 The expansion work for Vmin-to-Vmax (J) = 25.2017984959 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.026 0.000001 824.719 286.958 0.00009040382 0.00022733846 0.0000960239 0.0000960438 222841.000 194941.058 213195.458 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.023 0.000037 824.333 286.889 0.00008992968 0.00022800384 0.0000956324 0.0000964282 222475.564 194685.309 212749.634 0.05647 -0.32880 -0.00545 0.0002584086 -0.01221 2.021 0.000073 823.958 286.826 0.00008945340 0.00022866530 0.0000952343 0.0000968057 222121.487 194446.444 212317.917 0.11304 -0.65795 -0.01074 0.0002583880 -0.02718 3.019 0.000109 823.596 286.771 0.00008897506 0.00022932279 0.0000948297 0.0000971762 221778.713 194224.402 211900.291 0.16969 -0.98741 -0.01584 0.0002583539 -0.04491 4.017 0.000145 823.244 286.722 0.00008849473 0.00022997622 0.0000944187 0.0000975396 221447.187 194019.126 211496.738 0.22642 -1.31712 -0.02078 0.0002583063 -0.06538 5.015 0.000181 822.905 286.680 0.00008801251 0.00023062552 0.0000940014 0.0000978958 221126.853 193830.560 211107.243 0.28320 -1.64703 -0.02555 0.0002582452 -0.08857 6.013 0.000217 822.576 286.644 0.00008752847 0.00023127062 0.0000935780 0.0000982446 220817.657 193658.650 210731.789 0.34004 -1.97709 -0.03014 0.0002581706 -0.11447 7.011 0.000253 822.259 286.616 0.00008704270 0.00023191142 0.0000931485 0.0000985861 220519.544 193503.344 210370.359 0.39691 -2.30726 -0.03456 0.0002580826 -0.14306 8.009 0.000289 821.954 286.594 0.00008655528 0.00023254787 0.0000927132 0.0000989200 220232.460 193364.593 210022.939 0.45380 -2.63747 -0.03881 0.0002579812 -0.17433 9.007 0.000325 821.660 286.578 0.00008606630 0.00023317988 0.0000922722 0.0000992463 219956.355 193242.349 209689.514 0.51070 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0.85313 -4.95510 -0.06386 0.0002568934 -0.46828 16.020 0.000578 819.914 286.655 0.00008259293 0.00023748952 0.0000890219 0.0001013159 218321.352 192845.266 207739.981 0.90972 -5.28381 -0.06674 0.0002566857 -0.52046 17.018 0.000614 819.710 286.692 0.00008209448 0.00023808299 0.0000885396 0.0001015775 218131.591 192854.050 207518.477 0.96622 -5.61209 -0.06945 0.0002564651 -0.57517 18.016 0.000650 819.518 286.736 0.00008159524 0.00023867127 0.0000880529 0.0001018307 217952.383 192879.000 207310.880 1.02259 -5.93989 -0.07199 0.0002562316 -0.63240 19.014 0.000686 819.337 286.785 0.00008109531 0.00023925429 0.0000875619 0.0001020753 217783.688 192920.086 207117.187 1.07884 -6.26714 -0.07436 0.0002559852 -0.69212 20.012 0.000722 819.167 286.841 0.00008059477 0.00023983195 0.0000870666 0.0001023114 217625.470 192977.282 206937.395 1.13495 -6.59380 -0.07656 0.0002557261 -0.75432 21.010 0.000758 819.009 286.903 0.00008009372 0.00024040417 0.0000865674 0.0001025388 217477.692 193050.562 206771.505 1.19090 -6.91981 -0.07858 0.0002554542 -0.81897 22.008 0.000794 818.861 286.972 0.00007959223 0.00024097085 0.0000860642 0.0001027575 217340.321 193139.902 206619.521 1.24668 -7.24511 -0.08044 0.0002551697 -0.88607 23.005 0.000830 818.725 287.047 0.00007909041 0.00024153190 0.0000855573 0.0001029674 217213.326 193245.280 206481.446 1.30226 -7.56964 -0.08213 0.0002548727 -0.95559 24.003 0.000866 818.599 287.128 0.00007858835 0.00024208722 0.0000850468 0.0001031685 217096.679 193366.674 206357.288 1.35765 -7.89334 -0.08365 0.0002545633 -1.02751 25.001 0.000902 818.485 287.215 0.00007808614 0.00024263672 0.0000845329 0.0001033606 216990.352 193504.066 206247.055 1.41281 -8.21616 -0.08500 0.0002542415 -1.10182 26.027 0.000939 818.379 287.311 0.00007756992 0.00024319530 0.0000840014 0.0001035487 216891.802 193661.923 206148.283 1.46927 -8.54696 -0.08621 0.0002538980 -1.18066 27.025 0.000975 818.287 287.410 0.00007706769 0.00024373269 0.0000834810 0.0001037225 216806.336 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868.709 304.637 0.00011180050 0.00018340545 0.0001041883 0.0000656133 267535.156 244390.724 265732.843 3.35227 17.11723 4.92691 0.0002361496 -2.70717 301.009 0.010859 867.664 304.116 0.00011161060 0.00018413469 0.0001043256 0.0000661445 266408.649 242975.646 264475.521 3.38943 16.90970 4.91153 0.0002368180 -2.54100 302.007 0.010895 866.629 303.602 0.00011141336 0.00018486681 0.0001044536 0.0000666780 265294.910 241581.069 263228.605 3.42697 16.69829 4.89628 0.0002374795 -2.37763 303.005 0.010931 865.602 303.095 0.00011120885 0.00018560162 0.0001045722 0.0000672136 264194.005 240207.079 261992.343 3.46491 16.48307 4.88116 0.0002381339 -2.21708 304.003 0.010967 864.584 302.596 0.00011099718 0.00018633892 0.0001046816 0.0000677512 263105.995 238853.747 260766.969 3.50325 16.26412 4.86617 0.0002387808 -2.05939 305.001 0.011003 863.575 302.105 0.00011077843 0.00018707854 0.0001047815 0.0000682907 262030.933 237521.133 259552.707 3.54199 16.04152 4.85131 0.0002394202 -1.90456 306.027 0.011040 862.548 301.608 0.00011054633 0.00018784091 0.0001048745 0.0000688468 260939.554 236173.141 258316.519 3.58222 15.80899 4.83619 0.0002400693 -1.74844 307.025 0.011076 861.559 301.132 0.00011031352 0.00018858465 0.0001049553 0.0000693895 259890.895 234882.671 257125.433 3.62177 15.57919 4.82162 0.0002406928 -1.59949 308.022 0.011112 860.579 300.663 0.00011007391 0.00018933015 0.0001050267 0.0000699334 258855.319 233613.027 255946.073 3.66173 15.34595 4.80719 0.0002413081 -1.45346 309.020 0.011148 859.608 300.202 0.00010982760 0.00019007725 0.0001050886 0.0000704785 257832.860 232364.223 254778.624 3.70210 15.10935 4.79291 0.0002419152 -1.31037 310.018 0.011184 858.647 299.749 0.00010957468 0.00019082578 0.0001051410 0.0000710247 256823.547 231136.265 253623.259 3.74288 14.86944 4.77878 0.0002425137 -1.17023 311.016 0.011220 857.697 299.304 0.00010931523 0.00019157557 0.0001051839 0.0000715716 255827.405 229929.148 252480.143 3.78406 14.62631 4.76479 0.0002431035 -1.03306 312.014 0.011256 856.756 298.867 0.00010904936 0.00019232647 0.0001052172 0.0000721192 254844.455 228742.858 251349.434 3.82566 14.38001 4.75096 0.0002436845 -0.89886 313.012 0.011292 855.825 298.437 0.00010877715 0.00019307832 0.0001052410 0.0000726673 253874.713 227577.375 250231.280 3.86766 14.13062 4.73728 0.0002442564 -0.76766 314.010 0.011328 854.905 298.015 0.00010849869 0.00019383098 0.0001052553 0.0000732158 252918.193 226432.669 249125.822 3.91008 13.87820 4.72376 0.0002448191 -0.63945 315.008 0.011364 853.994 297.601 0.00010821408 0.00019458428 0.0001052600 0.0000737644 251974.903 225308.705 248033.192 3.95290 13.62283 4.71039 0.0002453724 -0.51426 316.006 0.011400 853.094 297.195 0.00010792340 0.00019533809 0.0001052551 0.0000743130 251044.847 224205.440 246953.516 3.99613 13.36456 4.69718 0.0002459162 -0.39209 317.004 0.011436 852.205 296.797 0.00010762675 0.00019609227 0.0001052407 0.0000748614 250128.029 223122.825 245886.912 4.03978 13.10346 4.68414 0.0002464502 -0.27294 318.002 0.011472 851.326 296.407 0.00010732421 0.00019684668 0.0001052168 0.0000754095 249224.445 222060.806 244833.491 4.08382 12.83960 4.67125 0.0002469743 -0.15682 319.027 0.011509 850.434 296.014 0.00010700724 0.00019762214 0.0001051822 0.0000759723 248309.547 220990.685 243764.656 4.12951 12.56559 4.65817 0.0002475026 -0.04065 320.025 0.011545 849.577 295.639 0.00010669305 0.00019837660 0.0001051389 0.0000765193 247432.782 219970.242 242738.281 4.17438 12.29632 4.64562 0.0002480062 0.06929 321.023 0.011581 848.731 295.273 0.00010637325 0.00019913089 0.0001050861 0.0000770653 246569.226 218970.200 241725.386 4.21965 12.02448 4.63323 0.0002484995 0.17619 322.021 0.011617 847.895 294.914 0.00010604793 0.00019988488 0.0001050238 0.0000776104 245718.866 217990.485 240726.057 4.26531 11.75012 4.62100 0.0002489822 0.28003 323.019 0.011653 847.070 294.563 0.00010571718 0.00020063845 0.0001049520 0.0000781543 244881.685 217031.021 239740.372 4.31137 11.47332 4.60895 0.0002494543 0.38081 324.017 0.011689 846.257 294.220 0.00010538108 0.00020139148 0.0001048707 0.0000786969 244057.663 216091.728 238768.405 4.35783 11.19413 4.59706 0.0002499156 0.47854 325.015 0.011725 845.454 293.885 0.00010503973 0.00020214385 0.0001047800 0.0000792380 243246.778 215172.523 237810.227 4.40467 10.91261 4.58533 0.0002503660 0.57320 326.013 0.011761 844.663 293.558 0.00010469321 0.00020289544 0.0001046799 0.0000797774 242449.006 214273.320 236865.900 4.45190 10.62883 4.57378 0.0002508053 0.66481 327.011 0.011797 843.882 293.238 0.00010434162 0.00020364615 0.0001045704 0.0000803150 241664.319 213394.031 235935.482 4.49951 10.34283 4.56240 0.0002512334 0.75335 328.009 0.011833 843.113 292.927 0.00010398503 0.00020439585 0.0001044516 0.0000808506 240892.690 212534.566 235019.028 4.54749 10.05469 4.55119 0.0002516502 0.83883 329.007 0.011869 842.355 292.623 0.00010362354 0.00020514446 0.0001043234 0.0000813841 240134.087 211694.833 234116.587 4.59585 9.76446 4.54015 0.0002520555 0.92125 330.004 0.011905 841.609 292.326 0.00010325723 0.00020589185 0.0001041860 0.0000819152 239388.476 210874.739 233228.202 4.64458 9.47219 4.52928 0.0002524492 1.00062 331.002 0.011941 840.874 292.038 0.00010288619 0.00020663792 0.0001040394 0.0000824439 238655.823 210074.189 232353.916 4.69368 9.17794 4.51859 0.0002528313 1.07693 332.000 0.011977 840.150 291.757 0.00010251050 0.00020738257 0.0001038835 0.0000829699 237936.091 209293.087 231493.765 4.74313 8.88178 4.50806 0.0002532015 1.15018 333.026 0.012014 839.418 291.476 0.00010211963 0.00020814633 0.0001037139 0.0000835076 237209.791 208510.453 230624.483 4.79432 8.57544 4.49743 0.0002535695 1.22229 334.024 0.012050 838.717 291.211 0.00010173479 0.00020888780 0.0001035396 0.0000840278 236516.141 207768.492 229793.089 4.84448 8.27556 4.48726 0.0002539154 1.28937 335.022 0.012086 838.028 290.953 0.00010134557 0.00020962756 0.0001033562 0.0000845449 235835.291 207045.687 228975.918 4.89498 7.97392 4.47726 0.0002542491 1.35340 336.020 0.012122 837.351 290.703 0.00010095204 0.00021036550 0.0001031639 0.0000850587 235167.197 206341.939 228172.990 4.94582 7.67058 4.46744 0.0002545706 1.41440 337.018 0.012158 836.685 290.461 0.00010055431 0.00021110155 0.0001029626 0.0000855691 234511.816 205657.151 227384.326 4.99699 7.36561 4.45779 0.0002548798 1.47237 338.016 0.012194 836.030 290.226 0.00010015244 0.00021183559 0.0001027526 0.0000860759 233869.102 204991.225 226609.940 5.04848 7.05905 4.44832 0.0002551765 1.52731 339.013 0.012230 835.388 289.998 0.00009974652 0.00021256756 0.0001025337 0.0000865790 233239.007 204344.066 225849.846 5.10028 6.75095 4.43902 0.0002554607 1.57924 340.011 0.012266 834.756 289.779 0.00009933664 0.00021329735 0.0001023060 0.0000870782 232621.483 203715.577 225104.054 5.15239 6.44137 4.42990 0.0002557322 1.62815 341.009 0.012302 834.137 289.566 0.00009892288 0.00021402488 0.0001020698 0.0000875733 232016.482 203105.661 224372.571 5.20480 6.13037 4.42095 0.0002559911 1.67406 342.007 0.012338 833.529 289.361 0.00009850533 0.00021475007 0.0001018249 0.0000880643 231423.953 202514.224 223655.403 5.25751 5.81799 4.41218 0.0002562372 1.71698 343.005 0.012374 832.933 289.163 0.00009808407 0.00021547283 0.0001015715 0.0000885509 230843.846 201941.172 222952.552 5.31049 5.50429 4.40358 0.0002564704 1.75690 344.003 0.012410 832.348 288.973 0.00009765917 0.00021619307 0.0001013097 0.0000890330 230276.107 201386.412 222264.019 5.36376 5.18932 4.39516 0.0002566907 1.79385 345.001 0.012446 831.775 288.790 0.00009723073 0.00021691072 0.0001010395 0.0000895105 229720.685 200849.852 221589.804 5.41730 4.87313 4.38691 0.0002568980 1.82783 346.027 0.012483 831.198 288.610 0.00009678678 0.00021764552 0.0001007532 0.0000899963 229162.613 200317.256 220911.776 5.47259 4.54694 4.37861 0.0002570975 1.85966 347.025 0.012519 830.649 288.442 0.00009635141 0.00021835766 0.0001004663 0.0000904639 228632.002 199817.324 220266.581 5.52664 4.22844 4.37072 0.0002572783 1.88764 348.022 0.012555 830.112 288.281 0.00009591274 0.00021906696 0.0001001714 0.0000909265 228113.543 199335.322 219635.688 5.58094 3.90888 4.36300 0.0002574459 1.91269 349.020 0.012591 829.586 288.127 0.00009547085 0.00021977334 0.0000998684 0.0000913839 227607.181 198871.162 219019.089 5.63547 3.58831 4.35546 0.0002576003 1.93480 350.018 0.012627 829.072 287.981 0.00009502583 0.00022047672 0.0000995575 0.0000918359 227112.862 198424.761 218416.775 5.69022 3.26677 4.34809 0.0002577414 1.95399 351.016 0.012663 828.569 287.842 0.00009457776 0.00022117704 0.0000992388 0.0000922825 226630.528 197996.035 217828.734 5.74519 2.94433 4.34090 0.0002578693 1.97027 352.014 0.012699 828.079 287.710 0.00009412673 0.00022187420 0.0000989123 0.0000927234 226160.124 197584.903 217254.956 5.80036 2.62102 4.33388 0.0002579837 1.98366 353.012 0.012735 827.600 287.585 0.00009367280 0.00022256814 0.0000985782 0.0000931586 225701.592 197191.285 216695.428 5.85572 2.29691 4.32703 0.0002580848 1.99416 354.010 0.012771 827.132 287.467 0.00009321608 0.00022325877 0.0000982366 0.0000935879 225254.876 196815.102 216150.135 5.91127 1.97204 4.32036 0.0002581725 2.00178 355.008 0.012807 826.676 287.356 0.00009275663 0.00022394603 0.0000978876 0.0000940112 224819.918 196456.281 215619.063 5.96700 1.64646 4.31387 0.0002582468 2.00655 356.006 0.012843 826.232 287.252 0.00009229454 0.00022462983 0.0000975312 0.0000944283 224396.662 196114.745 215102.198 6.02289 1.32022 4.30754 0.0002583075 2.00846 357.004 0.012879 825.800 287.155 0.00009182989 0.00022531011 0.0000971677 0.0000948392 223985.050 195790.423 214599.522 6.07893 0.99338 4.30139 0.0002583548 2.00754 358.002 0.012915 825.379 287.065 0.00009136276 0.00022598678 0.0000967970 0.0000952436 223585.024 195483.244 214111.020 6.13511 0.66597 4.29542 0.0002583887 2.00380 359.027 0.012952 824.959 286.980 0.00009088016 0.00022667842 0.0000964088 0.0000956526 223185.901 195185.326 213623.702 6.19299 0.32895 4.28946 0.0002584093 1.99703 360.025 0.012988 824.561 286.904 0.00009040826 0.00022734756 0.0000960240 0.0000960437 222809.196 194912.704 213163.891 6.24943 0.00057 4.28383 0.0002584157 1.98761 Engine speed (Hz) = 77.0000000000 Output power (W) = 153.0223688757 Heat into heater (W) = 481.2058636037 Heat to regenerator (W) = 0.0439125434 Heat removal from cooler (W) = 329.8551213932 Approximate Pumping loss (W) = -271.7466508970 Thermal efficiency (%) = 31.7997722907 The average engine pressure (Pa) = 275183.2530178841 The exp space work per cycle (J) = 6.2587793413 The comp space work per cycle (J) = -4.2714758494 The net work per cycle (J) = 1.9873034919 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.1846532564 The expansion work for Vmin-to-Vmax (J) = 25.1719567483 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.026 0.000001 825.468 286.971 0.00009051048 0.00022712329 0.0000960238 0.0000960440 223307.017 194765.152 213448.420 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.009 0.000036 825.091 286.903 0.00009004389 0.00022777863 0.0000956383 0.0000964226 222949.372 194514.153 213008.399 0.05525 -0.32366 -0.00538 0.0002584088 -0.01225 2.020 0.000072 824.715 286.840 0.00008956175 0.00022844880 0.0000952350 0.0000968050 222592.929 194273.105 212570.047 0.11217 -0.65695 -0.01075 0.0002583881 -0.02765 3.002 0.000107 824.360 286.786 0.00008909094 0.00022909649 0.0000948366 0.0000971700 222257.434 194055.341 212157.700 0.16760 -0.98131 -0.01579 0.0002583546 -0.04534 4.013 0.000143 824.007 286.736 0.00008860463 0.00022975864 0.0000944203 0.0000975382 221923.656 193848.359 211747.778 0.22469 -1.31522 -0.02080 0.0002583065 -0.06630 5.024 0.000179 823.665 286.694 0.00008811634 0.00023041660 0.0000939976 0.0000978990 221601.281 193658.562 211352.246 0.28184 -1.64937 -0.02564 0.0002582446 -0.09006 6.007 0.000214 823.344 286.660 0.00008763979 0.00023105219 0.0000935806 0.0000982425 221298.738 193490.461 210981.481 0.33745 -1.97441 -0.03018 0.0002581711 -0.11583 7.018 0.000250 823.026 286.631 0.00008714783 0.00023170167 0.0000931456 0.0000985884 220998.682 193334.395 210614.278 0.39468 -2.30886 -0.03467 0.0002580820 -0.14506 8.001 0.000285 822.727 286.610 0.00008666787 0.00023232887 0.0000927169 0.0000989172 220717.726 193198.989 210271.024 0.45036 -2.63410 -0.03887 0.0002579821 -0.17611 9.012 0.000321 822.432 286.595 0.00008617258 0.00023296955 0.0000922701 0.0000992478 220439.762 193076.455 209932.088 0.50763 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0.010898 863.086 301.653 0.00011059674 0.00018768057 0.0001048734 0.0000688398 261224.108 236031.031 258572.813 3.56039 15.77393 4.86249 0.0002400612 -1.80775 307.025 0.010934 862.088 301.169 0.00011036247 0.00018843174 0.0001049553 0.0000693895 260165.988 234721.589 257367.794 3.60020 15.54224 4.84774 0.0002406928 -1.65691 308.007 0.010969 861.127 300.707 0.00011012802 0.00018916381 0.0001050257 0.0000699252 259150.132 233469.098 256207.719 3.63931 15.31359 4.83355 0.0002412989 -1.51314 309.018 0.011005 860.149 300.239 0.00010988008 0.00018991844 0.0001050885 0.0000704774 258118.524 232202.001 255026.485 3.67993 15.07500 4.81910 0.0002419139 -1.36823 310.001 0.011040 859.207 299.791 0.00010963253 0.00019065355 0.0001051402 0.0000710152 257128.504 230990.695 253889.888 3.71983 14.83978 4.80520 0.0002425034 -1.23026 311.012 0.011076 858.248 299.339 0.00010937130 0.00019141097 0.0001051837 0.0000715692 256123.523 229765.955 252733.147 3.76127 14.59457 4.79105 0.0002431010 -1.09135 312.023 0.011112 857.299 298.895 0.00010910347 0.00019216957 0.0001052175 0.0000721240 255132.074 228562.673 251589.073 3.80313 14.34610 4.77705 0.0002436895 -0.95551 313.006 0.011147 856.387 298.471 0.00010883683 0.00019290805 0.0001052409 0.0000726638 254181.155 227413.366 250489.072 3.84423 14.10149 4.76360 0.0002442527 -0.82638 314.016 0.011183 855.459 298.042 0.00010855626 0.00019366848 0.0001052554 0.0000732193 253216.437 226252.327 249370.429 3.88691 13.84681 4.74991 0.0002448227 -0.69660 315.027 0.011219 854.542 297.622 0.00010826936 0.00019442961 0.0001052600 0.0000737751 252265.287 225112.652 248264.890 3.93001 13.58910 4.73639 0.0002453831 -0.56991 316.010 0.011254 853.660 297.221 0.00010798445 0.00019517013 0.0001052551 0.0000743154 251353.569 224025.074 247202.749 3.97231 13.33568 4.72339 0.0002459185 -0.44972 317.021 0.011290 852.764 296.817 0.00010768536 0.00019593221 0.0001052404 0.0000748709 250429.184 222927.394 246123.432 4.01622 13.07216 4.71019 0.0002464594 -0.32916 318.004 0.011325 851.903 296.432 0.00010738877 0.00019667337 0.0001052167 0.0000754107 249543.484 221880.539 245087.012 4.05931 12.81322 4.69751 0.0002469755 -0.21493 319.015 0.011361 851.028 296.044 0.00010707784 0.00019743584 0.0001051827 0.0000759654 248645.851 220824.626 244034.371 4.10404 12.54415 4.68464 0.0002474962 -0.10053 320.026 0.011397 850.165 295.663 0.00010676105 0.00019819830 0.0001051389 0.0000765195 247761.770 219789.792 242995.410 4.14917 12.27236 4.67193 0.0002480064 0.01075 321.008 0.011432 849.335 295.302 0.00010644752 0.00019893946 0.0001050870 0.0000770573 246915.226 218803.842 241998.518 4.19344 12.00557 4.65973 0.0002484922 0.11594 322.019 0.011468 848.493 294.937 0.00010611944 0.00019970152 0.0001050239 0.0000776094 246057.830 217810.361 240986.816 4.23938 11.72862 4.64735 0.0002489814 0.22103 323.002 0.011503 847.686 294.591 0.00010579511 0.00020044203 0.0001049533 0.0000781451 245237.197 216864.465 240016.588 4.28443 11.45693 4.63549 0.0002494464 0.32020 324.013 0.011539 846.866 294.243 0.00010545609 0.00020120320 0.0001048711 0.0000786948 244406.412 215912.020 239032.469 4.33115 11.17505 4.62345 0.0002499138 0.41910 325.024 0.011575 846.058 293.903 0.00010511166 0.00020196373 0.0001047792 0.0000792429 243589.086 214980.254 238062.447 4.37828 10.89077 4.61158 0.0002503700 0.51485 326.007 0.011610 845.283 293.580 0.00010477170 0.00020270240 0.0001046806 0.0000797741 242807.341 214094.109 237132.948 4.42446 10.61214 4.60021 0.0002508027 0.60493 327.018 0.011646 844.497 293.255 0.00010441687 0.00020346132 0.0001045696 0.0000803187 242016.477 213202.858 236190.917 4.47236 10.32330 4.58869 0.0002512363 0.69449 328.000 0.011681 843.744 292.948 0.00010406697 0.00020419822 0.0001044526 0.0000808462 241260.403 212355.926 235288.744 4.51929 10.04036 4.57765 0.0002516468 0.77854 329.011 0.011717 842.981 292.639 0.00010370209 0.00020495509 0.0001043228 0.0000813865 240495.880 211504.821 234374.926 4.56793 9.74720 4.56647 0.0002520574 0.86189 330.022 0.011753 842.229 292.338 0.00010333224 0.00020571076 0.0001041835 0.0000819246 239744.661 210673.926 233475.486 4.61695 9.45193 4.55547 0.0002524561 0.94210 331.005 0.011788 841.509 292.054 0.00010296800 0.00020644417 0.0001040390 0.0000824452 239027.029 209885.393 232614.854 4.66496 9.16291 4.54494 0.0002528322 1.01707 332.016 0.011824 840.781 291.769 0.00010258863 0.00020719715 0.0001038811 0.0000829780 238301.937 209094.065 231743.891 4.71471 8.86367 4.53428 0.0002532071 1.09109 333.027 0.011860 840.064 291.492 0.00010220456 0.00020794861 0.0001037137 0.0000835080 237590.031 208322.648 230887.420 4.76481 8.56251 4.52381 0.0002535698 1.16198 334.009 0.011895 839.378 291.230 0.00010182674 0.00020867764 0.0001035421 0.0000840203 236910.502 207591.653 230068.663 4.81387 8.26791 4.51379 0.0002539105 1.22790 335.020 0.011931 838.684 290.969 0.00010143366 0.00020942581 0.0001033565 0.0000845442 236224.477 206859.208 229240.861 4.86466 7.96311 4.50367 0.0002542487 1.29262 336.003 0.011966 838.021 290.722 0.00010104725 0.00021015146 0.0001031672 0.0000850502 235570.024 206165.908 228450.024 4.91437 7.66509 4.49399 0.0002545654 1.35255 337.014 0.012002 837.351 290.476 0.00010064551 0.00021089596 0.0001029634 0.0000855673 234909.699 205472.036 227650.983 4.96584 7.35687 4.48422 0.0002548787 1.41113 338.025 0.012038 836.692 290.238 0.00010023950 0.00021163845 0.0001027505 0.0000860807 234262.335 204797.571 226866.551 5.01763 7.04701 4.47462 0.0002551792 1.46660 339.008 0.012073 836.063 290.014 0.00009984076 0.00021235832 0.0001025349 0.0000865761 233645.329 204160.349 226117.929 5.06829 6.74422 4.46546 0.0002554591 1.51755 340.019 0.012109 835.428 289.790 0.00009942660 0.00021309659 0.0001023044 0.0000870818 233023.376 203523.861 225362.349 5.12070 6.43127 4.45622 0.0002557341 1.56691 341.001 0.012144 834.822 289.581 0.00009902010 0.00021381218 0.0001020717 0.0000875694 232430.978 202923.371 224641.796 5.17196 6.12558 4.44740 0.0002559891 1.61194 342.012 0.012180 834.210 289.373 0.00009859811 0.00021454589 0.0001018236 0.0000880667 231834.232 202324.468 223915.101 5.22497 5.80975 4.43851 0.0002562384 1.65523 343.023 0.012216 833.611 289.173 0.00009817229 0.00021527715 0.0001015669 0.0000885596 231250.187 201744.477 223203.059 5.27828 5.49255 4.42980 0.0002564745 1.69544 344.006 0.012251 833.039 288.985 0.00009775470 0.00021598567 0.0001013089 0.0000890344 230694.489 201198.635 222524.844 5.33037 5.18288 4.42151 0.0002566913 1.73160 345.017 0.012287 832.463 288.800 0.00009732156 0.00021671185 0.0001010352 0.0000895180 230135.330 200655.656 221841.701 5.38423 4.86312 4.41315 0.0002569012 1.76578 346.028 0.012323 831.899 288.622 0.00009688483 0.00021743533 0.0001007529 0.0000899968 229588.704 200131.302 221173.207 5.43835 4.54213 4.40497 0.0002570977 1.79693 347.010 0.012358 831.362 288.457 0.00009645688 0.00021813604 0.0001004704 0.0000904574 229069.225 199639.281 220537.324 5.49121 4.22895 4.39719 0.0002572758 1.82430 348.021 0.012394 830.821 288.294 0.00009601334 0.00021885395 0.0001001717 0.0000909260 228547.150 199151.387 219897.708 5.54583 3.90572 4.38937 0.0002574457 1.84948 349.004 0.012429 830.307 288.142 0.00009557893 0.00021954910 0.0000998734 0.0000913765 228051.428 198694.642 219289.886 5.59916 3.59045 4.38193 0.0002575979 1.87107 350.015 0.012465 829.789 287.994 0.00009512890 0.00022026112 0.0000995585 0.0000918345 227553.674 198242.858 218679.117 5.65423 3.26517 4.37446 0.0002577410 1.89031 351.026 0.012501 829.284 287.853 0.00009467571 0.00022097004 0.0000992356 0.0000922868 227068.163 197809.252 218082.958 5.70953 2.93895 4.36717 0.0002578704 1.90657 352.009 0.012536 828.805 287.723 0.00009423215 0.00022165621 0.0000989141 0.0000927210 226607.819 197405.039 217517.356 5.76350 2.62091 4.36025 0.0002579832 1.91953 353.020 0.012572 828.323 287.597 0.00009377297 0.00022235878 0.0000985757 0.0000931619 226146.277 197007.039 216949.977 5.81920 2.29294 4.35331 0.0002580856 1.92993 354.002 0.012607 827.866 287.481 0.00009332375 0.00022303863 0.0000982392 0.0000935846 225709.122 196637.287 216412.330 5.87353 1.97332 4.34673 0.0002581719 1.93722 355.013 0.012643 827.408 287.368 0.00009285890 0.00022373453 0.0000978857 0.0000940134 225271.313 196274.576 215873.676 5.92960 1.64382 4.34014 0.0002582471 1.94181 356.024 0.012679 826.961 287.263 0.00009239131 0.00022442694 0.0000975246 0.0000944359 224845.446 195929.642 215349.565 5.98583 1.31363 4.33373 0.0002583085 1.94348 357.007 0.012714 826.539 287.168 0.00009193416 0.00022509670 0.0000971665 0.0000948405 224442.801 195611.261 214853.939 6.04065 0.99198 4.32767 0.0002583550 1.94231 358.018 0.012750 826.116 287.078 0.00009146140 0.00022578200 0.0000967909 0.0000952501 224040.308 195301.169 214358.459 6.09718 0.66055 4.32161 0.0002583891 1.93825 359.001 0.012785 825.716 286.996 0.00009099939 0.00022644469 0.0000964189 0.0000956420 223660.272 195016.526 213890.638 6.15227 0.33781 4.31588 0.0002584090 1.93153 360.012 0.012821 825.317 286.919 0.00009052179 0.00022712257 0.0000960294 0.0000960384 223280.915 194740.999 213423.724 6.20906 0.00536 4.31017 0.0002584157 1.92179 Engine speed (Hz) = 78.0000000000 Output power (W) = 149.8753690795 Heat into heater (W) = 484.3067480967 Heat to regenerator (W) = 0.4180994900 Heat removal from cooler (W) = 336.1934648918 Approximate Pumping loss (W) = -281.1389729794 Thermal efficiency (%) = 30.9463722462 The average engine pressure (Pa) = 275253.9797017546 The exp space work per cycle (J) = 6.2204721630 The comp space work per cycle (J) = -4.2989930722 The net work per cycle (J) = 1.9214790908 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.2209311447 The expansion work for Vmin-to-Vmax (J) = 25.1424102354 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.018 0.000001 826.225 286.984 0.00009062131 0.00022690167 0.0000960268 0.0000960409 223778.365 194590.406 213706.690 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.013 0.000036 825.846 286.916 0.00009014910 0.00022756542 0.0000956364 0.0000964243 223418.575 194337.129 213260.169 0.05558 -0.32764 -0.00546 0.0002584088 -0.01265 2.009 0.000071 825.479 286.854 0.00008967469 0.00022822538 0.0000952394 0.0000968010 223069.943 194100.726 212827.617 0.11125 -0.65568 -0.01075 0.0002583884 -0.02806 3.004 0.000106 825.122 286.799 0.00008919815 0.00022888148 0.0000948359 0.0000971706 222732.409 193881.137 212409.017 0.16702 -0.98407 -0.01587 0.0002583545 -0.04621 4.028 0.000142 824.767 286.750 0.00008870586 0.00022955223 0.0000944142 0.0000975435 222396.748 193672.755 211992.995 0.22445 -1.32216 -0.02096 0.0002583057 -0.06773 5.023 0.000177 824.434 286.709 0.00008822525 0.00023020028 0.0000939979 0.0000978987 222081.545 193487.100 211602.646 0.28035 -1.65113 -0.02574 0.0002582446 -0.09141 6.019 0.000212 824.112 286.675 0.00008774275 0.00023084425 0.0000935755 0.0000982466 221777.263 193318.091 211226.199 0.33631 -1.98029 -0.03034 0.0002581702 -0.11779 7.014 0.000247 823.801 286.647 0.00008725846 0.00023148407 0.0000931471 0.0000985872 221483.842 193165.677 210863.637 0.39230 -2.30961 -0.03478 0.0002580823 -0.14684 8.010 0.000282 823.501 286.626 0.00008677245 0.00023211965 0.0000927129 0.0000989202 221201.226 193029.808 210514.945 0.44832 -2.63903 -0.03904 0.0002579812 -0.17857 9.005 0.000317 823.212 286.612 0.00008628481 0.00023275093 0.0000922730 0.0000992457 220929.358 192910.439 210180.108 0.50435 -2.96850 -0.04314 0.0002578667 -0.21295 10.000 0.000352 822.934 286.604 0.00008579561 0.00023337782 0.0000918274 0.0000995634 220668.181 192807.524 209859.111 0.56038 -3.29797 -0.04707 0.0002577389 -0.24997 11.024 0.000388 822.660 286.603 0.00008529091 0.00023401796 0.0000913635 0.0000998822 220410.639 192718.790 209543.367 0.61801 -3.63680 -0.05093 0.0002575937 -0.29077 12.020 0.000423 822.405 286.609 0.00008479883 0.00023463571 0.0000909070 0.0001001840 220170.984 192649.123 209250.405 0.67401 -3.96611 -0.05451 0.0002574391 -0.33309 13.015 0.000458 822.161 286.621 0.00008430545 0.00023524884 0.0000904454 0.0001004779 219941.856 192595.787 208971.244 0.72997 -4.29526 -0.05793 0.0002572713 -0.37799 14.010 0.000493 821.928 286.640 0.00008381085 0.00023585727 0.0000899787 0.0001007638 219723.205 192558.745 208705.873 0.78588 -4.62421 -0.06118 0.0002570905 -0.42546 15.006 0.000528 821.705 286.665 0.00008331513 0.00023646091 0.0000895072 0.0001010414 219514.979 192537.961 208454.283 0.84172 -4.95289 -0.06425 0.0002568966 -0.47549 16.001 0.000563 821.494 286.697 0.00008281838 0.00023705968 0.0000890309 0.0001013109 219317.128 192533.403 208216.465 0.89749 -5.28126 -0.06716 0.0002566898 -0.52805 17.025 0.000599 821.288 286.736 0.00008230643 0.00023767040 0.0000885361 0.0001015793 219124.399 192545.609 207986.213 0.95476 -5.61862 -0.06998 0.0002564635 -0.58474 18.021 0.000634 821.099 286.781 0.00008180783 0.00023825904 0.0000880506 0.0001018318 218947.450 192573.872 207776.313 1.01032 -5.94618 -0.07255 0.0002562305 -0.64239 19.016 0.000669 820.921 286.832 0.00008130845 0.00023884255 0.0000875608 0.0001020759 218780.736 192618.271 207580.167 1.06577 -6.27326 -0.07495 0.0002559847 -0.70253 20.011 0.000704 820.753 286.889 0.00008080839 0.00023942085 0.0000870668 0.0001023113 218624.214 192678.781 207397.774 1.12109 -6.59981 -0.07718 0.0002557262 -0.76514 21.007 0.000739 820.596 286.953 0.00008030773 0.00023999385 0.0000865688 0.0001025382 218477.842 192755.378 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-0.38925 318.006 0.011182 852.483 296.457 0.00010745297 0.00019650003 0.0001052167 0.0000754117 249862.627 221701.161 245341.435 4.03481 12.78370 4.72370 0.0002469764 -0.27366 319.001 0.011217 851.626 296.074 0.00010714828 0.00019724901 0.0001051832 0.0000759579 248982.796 220660.195 244305.728 4.07855 12.51973 4.71103 0.0002474892 -0.16109 320.025 0.011253 850.755 295.688 0.00010682893 0.00019801941 0.0001051389 0.0000765191 248091.520 219610.883 243254.212 4.12395 12.24545 4.69817 0.0002480060 -0.04847 321.020 0.011288 849.920 295.321 0.00010651277 0.00019876831 0.0001050863 0.0000770638 247238.301 218611.446 242245.399 4.16848 11.97618 4.68583 0.0002484981 0.05793 322.016 0.011323 849.096 294.961 0.00010619109 0.00019951698 0.0001050241 0.0000776075 246398.177 217632.370 241249.977 4.21340 11.70438 4.67365 0.0002489796 0.16128 323.011 0.011358 848.282 294.610 0.00010586397 0.00020026531 0.0001049526 0.0000781500 245571.129 216673.575 240268.029 4.25871 11.43012 4.66164 0.0002494506 0.26159 324.006 0.011393 847.480 294.266 0.00010553151 0.00020101318 0.0001048716 0.0000786912 244757.135 215734.979 239299.627 4.30440 11.15346 4.64979 0.0002499109 0.35885 325.002 0.011428 846.688 293.931 0.00010519379 0.00020176046 0.0001047813 0.0000792310 243956.170 214816.496 238344.844 4.35047 10.87446 4.63811 0.0002503602 0.45305 326.026 0.011464 845.885 293.593 0.00010484102 0.00020252837 0.0001046785 0.0000797844 243145.887 213892.663 237377.055 4.39825 10.58511 4.62627 0.0002508110 0.54676 327.021 0.011499 845.116 293.273 0.00010449290 0.00020327412 0.0001045692 0.0000803206 242371.269 213014.711 236450.089 4.44508 10.30153 4.61493 0.0002512379 0.63477 328.017 0.011534 844.358 292.961 0.00010413977 0.00020401896 0.0001044506 0.0000808548 241609.594 212156.600 235536.921 4.49228 10.01579 4.60376 0.0002516535 0.71973 329.012 0.011569 843.611 292.657 0.00010378172 0.00020476278 0.0001043227 0.0000813869 240860.828 211318.237 234637.601 4.53985 9.72794 4.59276 0.0002520577 0.80163 330.007 0.011604 842.875 292.360 0.00010341885 0.00020550546 0.0001041856 0.0000819167 240124.935 210499.527 233752.176 4.58777 9.43803 4.58193 0.0002524504 0.88049 331.003 0.011639 842.151 292.071 0.00010305123 0.00020624692 0.0001040393 0.0000824440 239401.879 209700.374 232880.686 4.63605 9.14613 4.57127 0.0002528314 0.95630 332.027 0.011675 841.418 291.782 0.00010266824 0.00020700817 0.0001038793 0.0000829837 238671.515 208898.688 231998.876 4.68608 8.84386 4.56048 0.0002532110 1.03109 333.022 0.011710 840.716 291.509 0.00010229125 0.00020774682 0.0001037145 0.0000835056 237974.378 208138.907 231155.768 4.73507 8.54807 4.55017 0.0002535681 1.10073 334.017 0.011745 840.026 291.244 0.00010190976 0.00020848394 0.0001035407 0.0000840245 237289.954 207398.387 230326.698 4.78439 8.25045 4.54002 0.0002539132 1.16732 335.013 0.011780 839.347 290.986 0.00010152387 0.00020921943 0.0001033579 0.0000845403 236618.201 206677.029 229511.693 4.83406 7.95106 4.53005 0.0002542462 1.23089 336.008 0.011815 838.680 290.736 0.00010113365 0.00020995321 0.0001031662 0.0000850528 235959.073 205974.734 228710.776 4.88405 7.64994 4.52026 0.0002545670 1.29142 337.004 0.011850 838.024 290.493 0.00010073919 0.00021068518 0.0001029655 0.0000855620 235312.523 205291.404 227923.967 4.93436 7.34715 4.51063 0.0002548755 1.34894 338.027 0.011886 837.362 290.251 0.00010032911 0.00021143609 0.0001027500 0.0000860819 234660.573 204608.231 227129.413 4.98644 7.03402 4.50091 0.0002551799 1.40495 339.023 0.011921 836.729 290.024 0.00009992630 0.00021216411 0.0001025316 0.0000865837 234039.391 203963.070 226371.272 5.03739 6.72801 4.49164 0.0002554633 1.45635 340.018 0.011956 836.108 289.804 0.00009951949 0.00021289006 0.0001023044 0.0000870816 233430.640 203336.578 225627.280 5.08864 6.42048 4.48254 0.0002557340 1.50475 341.014 0.011991 835.498 289.592 0.00009910876 0.00021361385 0.0001020687 0.0000875754 232834.268 202728.656 224897.447 5.14018 6.11150 4.47361 0.0002559922 1.55015 342.009 0.012026 834.900 289.387 0.00009869421 0.00021433540 0.0001018244 0.0000880651 232250.222 202139.211 224181.779 5.19201 5.80111 4.46485 0.0002562376 1.59256 343.004 0.012061 834.314 289.189 0.00009827591 0.00021505461 0.0001015717 0.0000885505 231678.449 201568.146 223480.280 5.24413 5.48936 4.45627 0.0002564702 1.63200 344.028 0.012097 833.722 288.994 0.00009784183 0.00021579186 0.0001013030 0.0000890451 231103.087 200999.844 222773.522 5.29801 5.16734 4.44763 0.0002566961 1.66946 345.024 0.012132 833.159 288.812 0.00009741617 0.00021650610 0.0001010333 0.0000895213 230556.044 200465.780 222100.769 5.35067 4.85300 4.43940 0.0002569026 1.70288 346.019 0.012167 832.608 288.636 0.00009698701 0.00021721777 0.0001007554 0.0000899927 230021.108 199949.817 221442.183 5.40359 4.53746 4.43134 0.0002570961 1.73334 347.014 0.012202 832.067 288.469 0.00009655443 0.00021792678 0.0001004693 0.0000904592 229498.223 199451.865 220797.761 5.45675 4.22077 4.42346 0.0002572765 1.76086 348.010 0.012237 831.539 288.308 0.00009611850 0.00021863306 0.0001001752 0.0000909207 228987.331 198971.836 220167.497 5.51015 3.90297 4.41575 0.0002574439 1.78545 349.005 0.012272 831.022 288.155 0.00009567932 0.00021933654 0.0000998730 0.0000913770 228488.375 198509.644 219551.383 5.56378 3.58413 4.40821 0.0002575981 1.80712 350.001 0.012307 830.516 288.009 0.00009523695 0.00022003713 0.0000995631 0.0000918280 228001.296 198065.202 218949.412 5.61764 3.26428 4.40085 0.0002577391 1.82587 351.024 0.012343 830.008 287.866 0.00009477871 0.00022075464 0.0000992361 0.0000922862 227512.631 197626.493 218344.985 5.67325 2.93430 4.39345 0.0002578703 1.84214 352.020 0.012378 829.526 287.734 0.00009433014 0.00022144914 0.0000989104 0.0000927259 227049.466 197217.805 217771.669 5.72752 2.61257 4.38644 0.0002579844 1.85502 353.015 0.012413 829.056 287.610 0.00009387862 0.00022214053 0.0000985771 0.0000931600 226598.001 196826.622 217212.462 5.78199 2.29000 4.37960 0.0002580851 1.86503 354.011 0.012448 828.596 287.492 0.00009342426 0.00022282873 0.0000982364 0.0000935882 226158.174 196452.864 216667.350 5.83664 1.96662 4.37293 0.0002581726 1.87217 355.006 0.012483 828.149 287.382 0.00009296711 0.00022351366 0.0000978882 0.0000940104 225729.927 196096.456 216136.320 5.89147 1.64249 4.36643 0.0002582466 1.87646 356.001 0.012518 827.713 287.279 0.00009250727 0.00022419526 0.0000975328 0.0000944265 225313.200 195757.323 215619.355 5.94646 1.31765 4.36011 0.0002583073 1.87791 357.025 0.012554 827.276 287.180 0.00009203156 0.00022489277 0.0000971597 0.0000948480 224896.520 195426.448 215102.279 6.00317 0.98286 4.35378 0.0002583557 1.87645 358.021 0.012589 826.863 287.091 0.00009156649 0.00022556738 0.0000967898 0.0000952513 224502.975 195122.141 214613.801 6.05846 0.65675 4.34781 0.0002583892 1.87218 359.016 0.012624 826.461 287.009 0.00009109897 0.00022623842 0.0000964130 0.0000956481 224120.767 194834.897 214139.341 6.11388 0.33009 4.34200 0.0002584092 1.86510 360.012 0.012659 826.071 286.933 0.00009062908 0.00022690583 0.0000960294 0.0000960384 223749.836 194564.650 213678.883 6.16942 0.00292 4.33637 0.0002584157 1.85524 Engine speed (Hz) = 79.0000000000 Output power (W) = 146.5387769368 Heat into heater (W) = 487.3841070735 Heat to regenerator (W) = 0.2308659800 Heat removal from cooler (W) = 342.5732751347 Approximate Pumping loss (W) = -290.7297951472 Thermal efficiency (%) = 30.0663839485 The average engine pressure (Pa) = 275338.2989299002 The exp space work per cycle (J) = 6.1797476347 The comp space work per cycle (J) = -4.3248264076 The net work per cycle (J) = 1.8549212270 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.2573260074 The expansion work for Vmin-to-Vmax (J) = 25.1122472345 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 826.991 286.998 0.00009073710 0.00022667249 0.0000960338 0.0000960339 224255.500 194417.327 213971.045 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000035 826.610 286.929 0.00009025934 0.00022734463 0.0000956385 0.0000964223 223893.607 194161.583 213517.885 0.05589 -0.33158 -0.00554 0.0002584088 -0.01303 2.016 0.000070 826.241 286.867 0.00008977929 0.00022801294 0.0000952365 0.0000968037 223543.084 193923.181 213079.016 0.11189 -0.66361 -0.01091 0.0002583882 -0.02890 3.024 0.000105 825.883 286.812 0.00008929701 0.00022867735 0.0000948278 0.0000971779 223203.868 193702.058 212654.420 0.16797 -0.99602 -0.01611 0.0002583537 -0.04758 4.003 0.000139 825.546 286.765 0.00008882646 0.00022931897 0.0000944245 0.0000975345 222885.110 193503.743 212255.606 0.22253 -1.31927 -0.02099 0.0002583070 -0.06841 5.011 0.000174 825.211 286.724 0.00008834005 0.00022997547 0.0000940031 0.0000978944 222567.997 193316.514 211859.098 0.27875 -1.65230 -0.02584 0.0002582455 -0.09260 6.019 0.000209 824.888 286.689 0.00008785168 0.00023062783 0.0000935754 0.0000982468 222262.003 193146.393 211476.810 0.33503 -1.98556 -0.03051 0.0002581701 -0.11955 7.027 0.000244 824.575 286.662 0.00008736141 0.00023127599 0.0000931415 0.0000985916 221967.064 192993.329 211108.728 0.39136 -2.31902 -0.03501 0.0002580811 -0.14927 8.006 0.000278 824.283 286.642 0.00008688343 0.00023190152 0.0000927143 0.0000989192 221691.080 192860.922 210764.747 0.44610 -2.64307 -0.03922 0.0002579815 -0.18075 9.014 0.000313 823.993 286.628 0.00008638970 0.00023254115 0.0000922688 0.0000992487 221417.757 192741.335 210424.619 0.50246 -2.97673 -0.04338 0.0002578655 -0.21585 10.022 0.000348 823.714 286.620 0.00008589434 0.00023317634 0.0000918175 0.0000995704 221155.308 192638.660 210098.648 0.55884 -3.31041 -0.04737 0.0002577359 -0.25365 11.002 0.000382 823.454 286.620 0.00008541166 0.00023378904 0.0000913738 0.0000998752 220910.714 192555.070 209795.533 0.61359 -3.63454 -0.05108 0.0002575970 -0.29295 12.010 0.000417 823.198 286.626 0.00008491334 0.00023441524 0.0000909117 0.0001001810 220669.528 192485.607 209497.431 0.66993 -3.96813 -0.05473 0.0002574407 -0.33603 13.018 0.000452 822.952 286.639 0.00008441365 0.00023503674 0.0000904442 0.0001004787 220439.043 192432.931 209213.444 0.72623 -4.30158 -0.05820 0.0002572709 -0.38177 14.026 0.000487 822.718 286.659 0.00008391268 0.00023565349 0.0000899716 0.0001007680 220219.199 192397.002 208943.562 0.78249 -4.63485 -0.06150 0.0002570877 -0.43015 15.005 0.000521 822.502 286.684 0.00008342487 0.00023624796 0.0000895077 0.0001010411 220015.776 192378.104 208694.887 0.83707 -4.95836 -0.06454 0.0002568968 -0.47965 16.013 0.000556 822.289 286.717 0.00008292163 0.00023685506 0.0000890253 0.0001013139 219816.753 192375.090 208452.782 0.89319 -5.29110 -0.06751 0.0002566873 -0.53318 17.021 0.000591 822.088 286.756 0.00008241737 0.00023745714 0.0000885382 0.0001015782 219628.212 192388.724 208224.754 0.94922 -5.62348 -0.07029 0.0002564645 -0.58929 18.000 0.000625 821.903 286.801 0.00008192662 0.00023803712 0.0000880607 0.0001018267 219455.046 192417.881 208016.713 1.00355 -5.94598 -0.07284 0.0002562354 -0.64625 19.008 0.000660 821.724 286.853 0.00008142062 0.00023862904 0.0000875647 0.0001020740 219287.021 192464.248 207816.419 1.05936 -6.27751 -0.07529 0.0002559867 -0.70740 20.016 0.000695 821.555 286.912 0.00008091387 0.00023921568 0.0000870645 0.0001023124 219129.330 192527.179 207630.187 1.11503 -6.60852 -0.07757 0.0002557249 -0.77108 21.024 0.000730 821.397 286.977 0.00008040646 0.00023979694 0.0000865601 0.0001025421 218981.927 192606.649 207458.016 1.17056 -6.93895 -0.07967 0.0002554502 -0.83727 22.003 0.000764 821.255 287.047 0.00007991302 0.00024035635 0.0000860664 0.0001027566 218848.547 192699.663 207304.228 1.22434 -7.25933 -0.08156 0.0002551710 -0.90396 23.011 0.000799 821.118 287.125 0.00007940460 0.00024092673 0.0000855544 0.0001029686 218721.301 192811.672 207159.780 1.27953 -7.58845 -0.08332 0.0002548710 -0.97505 24.019 0.000834 820.993 287.210 0.00007889580 0.00024149145 0.0000850387 0.0001031716 218604.221 192940.156 207029.400 1.33453 -7.91682 -0.08492 0.0002545583 -1.04859 25.027 0.000869 820.878 287.300 0.00007838673 0.00024205042 0.0000845195 0.0001033654 218497.269 193085.097 206913.095 1.38932 -8.24437 -0.08634 0.0002542330 -1.12456 26.006 0.000903 820.777 287.395 0.00007789203 0.00024258780 0.0000840120 0.0001035450 218403.039 193241.638 206813.600 1.44233 -8.56172 -0.08756 0.0002539050 -1.20068 27.014 0.000938 820.684 287.498 0.00007738269 0.00024313511 0.0000834865 0.0001037207 218315.957 193418.973 206725.072 1.49666 -8.88748 -0.08864 0.0002535552 -1.28140 28.022 0.000973 820.601 287.608 0.00007687337 0.00024367635 0.0000829579 0.0001038872 218238.911 193612.717 206650.656 1.55073 -9.21224 -0.08955 0.0002531931 -1.36449 29.002 0.001007 820.531 287.720 0.00007637870 0.00024419623 0.0000824417 0.0001040400 218173.654 193816.624 206591.893 1.60301 -9.52671 -0.09027 0.0002528297 -1.44747 30.010 0.001042 820.470 287.842 0.00007586970 0.00024472520 0.0000819077 0.0001041880 218116.325 194042.677 206545.348 1.65653 -9.84931 -0.09084 0.0002524437 -1.53519 31.018 0.001077 820.419 287.970 0.00007536101 0.00024524777 0.0000813711 0.0001043267 218068.969 194285.101 206512.975 1.70975 -10.17072 -0.09124 0.0002520458 -1.62522 32.026 0.001112 820.378 288.105 0.00007485274 0.00024576384 0.0000808322 0.0001044558 218031.573 194543.884 206494.800 1.76265 -10.49087 -0.09146 0.0002516361 -1.71756 33.005 0.001146 820.350 288.241 0.00007435948 0.00024625883 0.0000803066 0.0001045722 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0.74068 330.019 0.011459 843.505 292.374 0.00010349530 0.00020532009 0.0001041839 0.0000819230 240485.796 210303.639 234006.104 4.56000 9.41262 4.60801 0.0002524550 0.82036 331.027 0.011494 842.776 292.082 0.00010312422 0.00020606949 0.0001040356 0.0000824570 239757.804 209494.347 233124.163 4.60854 9.11781 4.59722 0.0002528406 0.89692 332.006 0.011528 842.079 291.805 0.00010275914 0.00020679620 0.0001038826 0.0000829731 239063.152 208727.337 232281.097 4.65605 8.82950 4.58690 0.0002532037 0.96830 333.014 0.011563 841.373 291.527 0.00010237868 0.00020754288 0.0001037158 0.0000835016 238360.935 207957.391 231427.351 4.70529 8.53079 4.57646 0.0002535654 1.03870 334.022 0.011598 840.679 291.258 0.00010199359 0.00020828804 0.0001035398 0.0000840271 237671.726 207207.250 230587.955 4.75489 8.23018 4.56619 0.0002539149 1.10597 335.002 0.011632 840.015 291.004 0.00010161515 0.00020901035 0.0001033600 0.0000845345 237014.621 206497.409 229786.311 4.80339 7.93640 4.55639 0.0002542425 1.16835 336.010 0.011667 839.344 290.750 0.00010122118 0.00020975221 0.0001031659 0.0000850536 236350.918 205786.011 228975.287 4.85365 7.63222 4.54646 0.0002545674 1.22950 337.018 0.011702 838.684 290.504 0.00010082284 0.00021049226 0.0001029626 0.0000855691 235700.082 205094.110 228178.688 4.90423 7.32631 4.53672 0.0002548798 1.28754 338.026 0.011737 838.037 290.266 0.00010042021 0.00021123041 0.0001027504 0.0000860810 235062.059 204421.605 227396.531 4.95514 7.01872 4.52715 0.0002551794 1.34248 339.005 0.011771 837.418 290.042 0.00010002505 0.00021194555 0.0001025356 0.0000865746 234454.487 203786.788 226650.566 5.00489 6.71837 4.51803 0.0002554583 1.39290 340.013 0.011806 836.794 289.819 0.00009961421 0.00021267967 0.0001023057 0.0000870789 233841.574 203152.219 225896.924 5.05642 6.40764 4.50881 0.0002557326 1.44176 341.021 0.011841 836.181 289.604 0.00009919933 0.00021341162 0.0001020670 0.0000875790 233241.316 202536.742 225157.761 5.10824 6.09539 4.49976 0.0002559940 1.48754 342.000 0.011875 835.596 289.402 0.00009879252 0.00021412049 0.0001018267 0.0000880607 232670.274 201957.037 224453.589 5.15886 5.79066 4.49115 0.0002562354 1.52908 343.008 0.011910 835.007 289.202 0.00009836992 0.00021484791 0.0001015708 0.0000885523 232094.803 201378.906 223742.989 5.21125 5.47558 4.48246 0.0002564711 1.56882 344.016 0.011945 834.429 289.009 0.00009794354 0.00021557289 0.0001013062 0.0000890392 231531.819 200819.573 223046.882 5.26392 5.15914 4.47394 0.0002566935 1.60552 345.024 0.011980 833.862 288.824 0.00009751345 0.00021629537 0.0001010332 0.0000895215 230981.264 200278.941 222365.268 5.31686 4.84140 4.46560 0.0002569027 1.63917 346.003 0.012014 833.324 288.652 0.00009709218 0.00021699472 0.0001007598 0.0000899852 230458.285 199771.571 221717.005 5.36854 4.53153 4.45767 0.0002570931 1.66896 347.011 0.012049 832.781 288.481 0.00009665502 0.00021771200 0.0001004702 0.0000904577 229932.059 199267.529 221063.955 5.42199 4.21136 4.44968 0.0002572760 1.69665 348.019 0.012084 832.249 288.319 0.00009621441 0.00021842653 0.0001001723 0.0000909250 229418.085 198781.908 220425.388 5.47568 3.89005 4.44187 0.0002574454 1.72133 349.027 0.012119 831.730 288.164 0.00009577043 0.00021913823 0.0000998663 0.0000913870 228916.300 198314.619 219801.294 5.52961 3.56763 4.43424 0.0002576013 1.74300 350.006 0.012153 831.237 288.020 0.00009533597 0.00021982680 0.0000995612 0.0000918306 228440.465 197878.149 219208.885 5.58221 3.25342 4.42699 0.0002577398 1.76120 351.014 0.012188 830.740 287.879 0.00009488558 0.00022053267 0.0000992394 0.0000922817 227962.530 197446.740 218613.300 5.63658 2.92898 4.41970 0.0002578690 1.77699 352.022 0.012223 830.256 287.746 0.00009443205 0.00022123548 0.0000989096 0.0000927270 227496.599 197033.404 218032.161 5.69115 2.60360 4.41260 0.0002579846 1.78982 353.002 0.012257 829.796 287.624 0.00009398857 0.00022191520 0.0000985818 0.0000931541 227055.415 196649.104 217481.446 5.74435 2.28666 4.40586 0.0002580838 1.79946 354.010 0.012292 829.335 287.505 0.00009352912 0.00022261174 0.0000982368 0.0000935877 226612.964 196271.155 216928.746 5.79930 1.95955 4.39910 0.0002581725 1.80647 355.018 0.012327 828.885 287.393 0.00009306678 0.00022330498 0.0000978842 0.0000940152 226182.328 195911.036 216390.451 5.85443 1.63166 4.39251 0.0002582474 1.81057 356.026 0.012362 828.447 287.289 0.00009260165 0.00022399484 0.0000975241 0.0000944365 225763.444 195568.672 215866.547 5.90973 1.30302 4.38610 0.0002583086 1.81174 357.005 0.012396 828.033 287.195 0.00009214721 0.00022466170 0.0000971673 0.0000948396 225367.719 195253.018 215371.375 5.96360 0.98310 4.38005 0.0002583549 1.81010 358.013 0.012431 827.618 287.105 0.00009167680 0.00022534469 0.0000967928 0.0000952481 224971.814 194945.436 214875.791 6.01919 0.65314 4.37398 0.0002583890 1.80557 359.021 0.012466 827.215 287.022 0.00009120384 0.00022602408 0.0000964112 0.0000956500 224587.468 194655.391 214394.549 6.07492 0.32259 4.36810 0.0002584092 1.79817 360.000 0.012500 826.834 286.948 0.00009074202 0.00022668055 0.0000960338 0.0000960339 224225.112 194390.361 213940.773 6.12918 0.00096 4.36255 0.0002584157 1.78823 Engine speed (Hz) = 80.0000000000 Output power (W) = 143.0319291468 Heat into heater (W) = 490.3346082881 Heat to regenerator (W) = 0.0769786999 Heat removal from cooler (W) = 349.0036355747 Approximate Pumping loss (W) = -300.4992968774 Thermal efficiency (%) = 29.1702700012 The average engine pressure (Pa) = 275422.3364187985 The exp space work per cycle (J) = 6.1386382129 The comp space work per cycle (J) = -4.3507390986 The net work per cycle (J) = 1.7878991143 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.2938516235 The expansion work for Vmin-to-Vmax (J) = 25.0817507378 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.027 0.000001 827.743 287.008 0.00009083178 0.00022647262 0.0000960233 0.0000960444 224718.278 194231.560 214216.257 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.018 0.000035 827.372 286.940 0.00009036225 0.00022713356 0.0000956344 0.0000964263 224365.169 193981.220 213770.022 0.05459 -0.32594 -0.00546 0.0002584087 -0.01312 2.010 0.000069 827.012 286.880 0.00008989046 0.00022779086 0.0000952389 0.0000968014 224022.992 193747.693 213337.579 0.10928 -0.65233 -0.01075 0.0002583883 -0.02899 3.001 0.000103 826.663 286.826 0.00008941648 0.00022844443 0.0000948370 0.0000971696 223691.683 193530.919 212918.911 0.16406 -0.97912 -0.01587 0.0002583546 -0.04758 4.022 0.000138 826.315 286.777 0.00008892636 0.00022911326 0.0000944167 0.0000975413 223361.916 193325.210 212502.301 0.22053 -1.31589 -0.02097 0.0002583060 -0.06955 5.013 0.000172 825.989 286.737 0.00008844819 0.00022975905 0.0000940022 0.0000978951 223052.472 193142.264 212111.537 0.27545 -1.64335 -0.02575 0.0002582453 -0.09363 6.005 0.000206 825.673 286.704 0.00008796808 0.00023040089 0.0000935815 0.0000982418 222753.707 192975.907 211734.497 0.33043 -1.97106 -0.03036 0.0002581713 -0.12039 7.025 0.000241 825.359 286.676 0.00008747190 0.00023105742 0.0000931423 0.0000985910 222457.245 192821.930 211360.688 0.38706 -2.30863 -0.03493 0.0002580813 -0.15073 8.017 0.000275 825.066 286.656 0.00008698809 0.00023169103 0.0000927098 0.0000989226 222179.964 192689.083 211011.451 0.44211 -2.63670 -0.03920 0.0002579804 -0.18289 9.008 0.000309 824.783 286.643 0.00008650259 0.00023232048 0.0000922715 0.0000992467 221913.179 192572.679 210675.892 0.49718 -2.96488 -0.04331 0.0002578663 -0.21768 10.029 0.000344 824.503 286.636 0.00008600112 0.00023296400 0.0000918146 0.0000995724 221649.445 192469.978 210344.733 0.55387 -3.30277 -0.04736 0.0002577350 -0.25623 11.020 0.000378 824.243 286.637 0.00008551242 0.00023358475 0.0000913653 0.0000998809 221403.774 192386.808 210036.883 0.60894 -3.63100 -0.05113 0.0002575942 -0.29633 12.012 0.000412 823.993 286.643 0.00008502227 0.00023420111 0.0000909107 0.0001001817 221168.419 192319.952 209742.667 0.66398 -3.95919 -0.05473 0.0002574404 -0.33901 13.003 0.000446 823.753 286.657 0.00008453076 0.00023481298 0.0000904509 0.0001004745 220943.321 192269.374 209462.073 0.71900 -4.28727 -0.05816 0.0002572734 -0.38426 14.024 0.000481 823.518 286.677 0.00008402345 0.00023543810 0.0000899725 0.0001007675 220722.258 192234.272 209187.441 0.77559 -4.62485 -0.06152 0.0002570880 -0.43351 15.015 0.000515 823.301 286.703 0.00008352942 0.00023604065 0.0000895027 0.0001010440 220517.805 192216.619 208934.455 0.83050 -4.95257 -0.06461 0.0002568947 -0.48392 16.007 0.000549 823.094 286.736 0.00008303428 0.00023663848 0.0000890283 0.0001013123 220323.442 192215.140 208695.058 0.88534 -5.28003 -0.06754 0.0002566886 -0.53685 17.027 0.000584 822.892 286.777 0.00008252351 0.00023724888 0.0000885351 0.0001015799 220133.846 192230.482 208462.807 0.94170 -5.61680 -0.07038 0.0002564630 -0.59396 18.019 0.000618 822.706 286.823 0.00008202638 0.00023783688 0.0000880515 0.0001018314 219959.799 192261.737 208250.965 0.99636 -5.94357 -0.07297 0.0002562309 -0.65195 19.010 0.000652 822.531 286.875 0.00008152839 0.00023841992 0.0000875636 0.0001020745 219795.685 192309.083 208052.691 1.05090 -6.26993 -0.07540 0.0002559861 -0.71240 20.002 0.000686 822.366 286.933 0.00008102965 0.00023899789 0.0000870716 0.0001023091 219641.456 192372.493 207867.983 1.10532 -6.59581 -0.07766 0.0002557287 -0.77531 21.022 0.000721 822.208 287.000 0.00008051553 0.00023958750 0.0000865610 0.0001025417 219492.968 192454.524 207692.010 1.16119 -6.93072 -0.07981 0.0002554507 -0.84260 22.014 0.000755 822.064 287.072 0.00008001550 0.00024015495 0.0000860611 0.0001027588 219358.659 192550.467 207534.827 1.21531 -7.25547 -0.08173 0.0002551680 -0.91042 23.005 0.000789 821.931 287.149 0.00007951498 0.00024071707 0.0000855575 0.0001029673 219234.099 192662.409 207391.207 1.26927 -7.57957 -0.08349 0.0002548729 -0.98063 24.026 0.000824 821.804 287.236 0.00007899932 0.00024129007 0.0000850354 0.0001031729 219116.017 192794.338 207257.537 1.32462 -7.91247 -0.08513 0.0002545562 -1.05539 25.017 0.000858 821.692 287.326 0.00007849808 0.00024184111 0.0000845248 0.0001033635 219011.122 192938.696 207141.458 1.37819 -8.23509 -0.08655 0.0002542363 -1.13040 26.009 0.000892 821.590 287.422 0.00007799662 0.00024238653 0.0000840109 0.0001035454 218915.860 193099.002 207038.962 1.43154 -8.55690 -0.08780 0.0002539043 -1.20775 27.000 0.000926 821.498 287.525 0.00007749504 0.00024292626 0.0000834940 0.0001037183 218830.199 193275.243 206950.057 1.48468 -8.87782 -0.08889 0.0002535603 -1.28742 28.021 0.000961 821.415 287.637 0.00007697867 0.00024347578 0.0000829588 0.0001038869 218752.016 193473.296 206872.750 1.53912 -9.20721 -0.08983 0.0002531938 -1.37183 29.012 0.000995 821.344 287.752 0.00007647712 0.00024400362 0.0000824362 0.0001040416 218685.750 193681.833 206811.472 1.59174 -9.52617 -0.09058 0.0002528258 -1.45614 30.003 0.001029 821.283 287.872 0.00007597574 0.00024452543 0.0000819109 0.0001041872 218629.003 193906.266 206763.835 1.64409 -9.84406 -0.09117 0.0002524461 -1.54271 31.024 0.001064 821.231 288.003 0.00007545989 0.00024505620 0.0000813677 0.0001043275 218580.509 194153.892 206729.066 1.69768 -10.17014 -0.09159 0.0002520432 -1.63417 32.016 0.001098 821.191 288.136 0.00007495914 0.00024556548 0.0000808376 0.0001044546 218543.023 194410.553 206709.178 1.74943 -10.48568 -0.09183 0.0002516402 -1.72527 33.007 0.001132 821.160 288.275 0.00007445885 0.00024606842 0.0000803054 0.0001045725 218515.006 194683.079 206703.004 1.80086 -10.79998 -0.09191 0.0002512259 -1.81857 34.028 0.001167 821.140 288.425 0.00007394443 0.00024657940 0.0000797556 0.0001046841 218496.048 194980.182 206711.008 1.85345 -11.12214 -0.09181 0.0002507877 -1.91689 35.019 0.001201 821.131 288.576 0.00007344539 0.00024706911 0.0000792196 0.0001047833 218487.228 195284.877 206732.768 1.90418 -11.43369 -0.09155 0.0002503509 -2.01459 36.010 0.001235 821.131 288.733 0.00007294712 0.00024755211 0.0000786820 0.0001048731 218487.866 195605.410 206768.349 1.95454 -11.74378 -0.09111 0.0002499031 -2.11444 37.002 0.001269 821.142 288.896 0.00007244973 0.00024802830 0.0000781429 0.0001049536 218497.969 195941.771 206817.794 2.00451 -12.05235 -0.09051 0.0002494445 -2.21640 38.022 0.001304 821.164 289.069 0.00007193873 0.00024851123 0.0000775866 0.0001050267 218518.268 196304.549 206883.227 2.05553 -12.36833 -0.08971 0.0002489613 -2.32356 39.014 0.001338 821.195 289.244 0.00007144344 0.00024897318 0.0000770450 0.0001050882 218547.621 196673.002 206960.960 2.10467 -12.67359 -0.08875 0.0002484813 -2.42976 40.005 0.001372 821.237 289.424 0.00007094935 0.00024942791 0.0000765024 0.0001051404 218586.491 197057.254 207052.717 2.15336 -12.97712 -0.08763 0.0002479908 -2.53802 41.026 0.001407 821.290 289.616 0.00007044209 0.00024988834 0.0000759431 0.0001051843 218636.478 197469.295 207161.887 2.20302 -13.28767 -0.08630 0.0002474753 -2.65159 42.017 0.001441 821.352 289.808 0.00006995077 0.00025032800 0.0000753990 0.0001052173 218694.762 197885.568 207282.300 2.25077 -13.58744 -0.08482 0.0002469643 -2.76396 43.009 0.001475 821.425 290.005 0.00006946099 0.00025076003 0.0000748544 0.0001052410 218762.676 198317.598 207416.942 2.29803 -13.88525 -0.08318 0.0002464434 -2.87833 44.000 0.001509 821.508 290.208 0.00006897286 0.00025118427 0.0000743096 0.0001052552 218840.271 198765.369 207565.893 2.34478 -14.18101 -0.08135 0.0002459128 -2.99467 45.021 0.001544 821.604 290.423 0.00006847222 0.00025161269 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0.011729 836.281 289.412 0.00009888040 0.00021392308 0.0001018228 0.0000880683 233076.881 201760.382 224708.936 5.12403 5.78711 4.51744 0.0002562392 1.46667 343.007 0.011763 835.705 289.215 0.00009846572 0.00021463760 0.0001015710 0.0000885517 232514.527 201192.055 224009.956 5.17519 5.47781 4.50889 0.0002564708 1.50554 344.028 0.011798 835.124 289.020 0.00009803497 0.00021537073 0.0001013032 0.0000890448 231948.210 200626.052 223305.024 5.22814 5.15801 4.50026 0.0002566959 1.54248 345.019 0.011832 834.571 288.837 0.00009761287 0.00021608049 0.0001010346 0.0000895191 231410.233 200094.621 222634.423 5.27983 4.84606 4.49206 0.0002569016 1.57537 346.010 0.011866 834.030 288.663 0.00009718724 0.00021678778 0.0001007578 0.0000899886 230884.181 199581.232 221977.804 5.33177 4.53287 4.48403 0.0002570945 1.60532 347.002 0.011900 833.500 288.495 0.00009675815 0.00021749253 0.0001004730 0.0000904533 230369.996 199085.794 221335.164 5.38396 4.21849 4.47617 0.0002572743 1.63235 348.022 0.011935 832.966 288.330 0.00009631292 0.00021821528 0.0001001714 0.0000909265 229853.020 198594.442 220688.220 5.43793 3.89368 4.46825 0.0002574459 1.65712 349.014 0.011969 832.459 288.178 0.00009587706 0.00021891464 0.0000998704 0.0000913809 229362.735 198135.165 220073.933 5.49059 3.57705 4.46074 0.0002575993 1.67824 350.005 0.012003 831.964 288.032 0.00009543799 0.00021961123 0.0000995616 0.0000918301 228884.135 197693.577 219473.607 5.54346 3.25939 4.45339 0.0002577397 1.69647 351.026 0.012038 831.465 287.890 0.00009498272 0.00022032533 0.0000992356 0.0000922868 228403.600 197257.390 218870.195 5.59811 2.93135 4.44601 0.0002578704 1.71222 352.017 0.012072 830.992 287.759 0.00009453736 0.00022101607 0.0000989112 0.0000927248 227948.527 196851.446 218298.169 5.65140 2.61173 4.43902 0.0002579841 1.72460 353.009 0.012106 830.531 287.635 0.00009408902 0.00022170381 0.0000985793 0.0000931572 227504.955 196462.944 217740.071 5.70488 2.29122 4.43219 0.0002580845 1.73412 354.000 0.012140 830.081 287.518 0.00009363778 0.00022238848 0.0000982400 0.0000935837 227072.820 196091.806 217195.888 5.75855 1.96987 4.42553 0.0002581717 1.74080 355.021 0.012175 829.629 287.406 0.00009317033 0.00022309000 0.0000978830 0.0000940166 226639.857 195727.810 216650.222 5.81397 1.63824 4.41886 0.0002582476 1.74471 356.012 0.012209 829.202 287.303 0.00009271344 0.00022376823 0.0000975289 0.0000944310 226230.742 195391.681 216134.238 5.86797 1.31533 4.41254 0.0002583079 1.74564 357.004 0.012243 828.786 287.208 0.00009225389 0.00022444316 0.0000971677 0.0000948392 225832.876 195072.693 215632.126 5.92212 0.99172 4.40640 0.0002583548 1.74377 358.024 0.012278 828.369 287.117 0.00009177813 0.00022513443 0.0000967885 0.0000952528 225434.991 194762.153 215129.721 5.97801 0.65793 4.40026 0.0002583893 1.73891 359.016 0.012312 827.976 287.035 0.00009131342 0.00022580247 0.0000964132 0.0000956480 225059.758 194477.739 214655.715 6.03244 0.33306 4.39446 0.0002584092 1.73137 360.007 0.012346 827.594 286.961 0.00009084628 0.00022646701 0.0000960310 0.0000960367 224695.583 194210.261 214195.533 6.08699 0.00764 4.38883 0.0002584157 1.72106 Engine speed (Hz) = 81.0000000000 Output power (W) = 139.3781029878 Heat into heater (W) = 493.0464429115 Heat to regenerator (W) = 0.6188171258 Heat removal from cooler (W) = 355.4950424390 Approximate Pumping loss (W) = -310.4232678862 Thermal efficiency (%) = 28.2687574349 The average engine pressure (Pa) = 275491.2925681668 The exp space work per cycle (J) = 6.0993175889 The comp space work per cycle (J) = -4.3786002681 The net work per cycle (J) = 1.7207173208 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.3305132730 The expansion work for Vmin-to-Vmax (J) = 25.0512305938 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.008 0.000000 828.517 287.021 0.00009094837 0.00022624123 0.0000960308 0.0000960370 225199.643 194056.995 214483.877 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.012 0.000034 828.144 286.953 0.00009047352 0.00022691027 0.0000956371 0.0000964237 224844.785 193804.198 214031.186 0.05487 -0.32973 -0.00554 0.0002584088 -0.01350 2.015 0.000068 827.783 286.892 0.00008999631 0.00022757561 0.0000952368 0.0000968034 224501.063 193568.669 213592.596 0.10984 -0.65995 -0.01090 0.0002583882 -0.02982 3.019 0.000102 827.433 286.837 0.00008951683 0.00022823719 0.0000948298 0.0000971761 224168.408 193350.347 213168.090 0.16491 -0.99060 -0.01610 0.0002583539 -0.04893 4.023 0.000136 827.094 286.790 0.00008903516 0.00022889492 0.0000944164 0.0000975415 223846.754 193149.173 212757.650 0.22005 -1.32164 -0.02112 0.0002583060 -0.07083 5.026 0.000170 826.767 286.750 0.00008855137 0.00022954875 0.0000939967 0.0000978997 223536.034 192965.090 212361.259 0.27526 -1.65302 -0.02597 0.0002582444 -0.09549 6.000 0.000203 826.459 286.717 0.00008807987 0.00023017952 0.0000935834 0.0000982403 223244.846 192802.714 211989.945 0.32890 -1.97493 -0.03051 0.0002581717 -0.12206 7.004 0.000237 826.154 286.691 0.00008759217 0.00023082541 0.0000931515 0.0000985838 222955.478 192652.154 211621.188 0.38421 -2.30682 -0.03502 0.0002580833 -0.15213 8.008 0.000271 825.859 286.671 0.00008710260 0.00023146715 0.0000927137 0.0000989196 222676.848 192518.530 211266.429 0.43955 -2.63890 -0.03936 0.0002579814 -0.18492 9.012 0.000305 825.576 286.658 0.00008661125 0.00023210468 0.0000922701 0.0000992478 222408.891 192401.794 210925.652 0.49491 -2.97111 -0.04353 0.0002578659 -0.22041 10.015 0.000339 825.303 286.652 0.00008611820 0.00023273791 0.0000918208 0.0000995681 222151.541 192301.902 210598.841 0.55028 -3.30341 -0.04753 0.0002577369 -0.25858 11.019 0.000373 825.041 286.652 0.00008562355 0.00023336677 0.0000913659 0.0000998805 221904.735 192218.810 210285.982 0.60565 -3.63573 -0.05135 0.0002575945 -0.29943 12.023 0.000407 824.791 286.660 0.00008512737 0.00023399118 0.0000909057 0.0001001849 221668.410 192152.476 209987.059 0.66100 -3.96803 -0.05501 0.0002574386 -0.34293 13.026 0.000441 824.551 286.674 0.00008462975 0.00023461105 0.0000904402 0.0001004812 221442.503 192102.862 209702.060 0.71631 -4.30025 -0.05850 0.0002572694 -0.38907 14.000 0.000474 824.329 286.694 0.00008414547 0.00023520828 0.0000899835 0.0001007609 221233.146 192070.663 209438.747 0.76996 -4.62258 -0.06172 0.0002570924 -0.43635 15.004 0.000508 824.110 286.721 0.00008364527 0.00023581898 0.0000895080 0.0001010409 221027.591 192053.891 209181.150 0.82518 -4.95450 -0.06487 0.0002568970 -0.48763 16.008 0.000542 823.902 286.755 0.00008314389 0.00023642490 0.0000890277 0.0001013126 220832.276 192053.737 208937.444 0.88033 -5.28619 -0.06785 0.0002566884 -0.54149 17.011 0.000576 823.705 286.796 0.00008264141 0.00023702596 0.0000885428 0.0001015758 220647.142 192070.168 208707.618 0.93540 -5.61758 -0.07066 0.0002564666 -0.59791 18.015 0.000610 823.519 286.843 0.00008213793 0.00023762208 0.0000880533 0.0001018305 220472.133 192103.157 208491.665 0.99037 -5.94862 -0.07330 0.0002562318 -0.65689 19.019 0.000644 823.343 286.896 0.00008163354 0.00023821316 0.0000875594 0.0001020766 220307.194 192152.676 208289.580 1.04523 -6.27927 -0.07578 0.0002559839 -0.71839 20.022 0.000678 823.178 286.956 0.00008112832 0.00023879911 0.0000870612 0.0001023139 220152.271 192218.701 208101.357 1.09997 -6.60946 -0.07808 0.0002557232 -0.78240 21.026 0.000712 823.023 287.023 0.00008062237 0.00023937986 0.0000865590 0.0001025425 220007.312 192301.207 207926.993 1.15456 -6.93913 -0.08021 0.0002554496 -0.84890 22.000 0.000745 822.883 287.094 0.00008013069 0.00023993845 0.0000860678 0.0001027560 219876.100 192397.029 207771.012 1.20741 -7.25856 -0.08212 0.0002551718 -0.91581 23.004 0.000779 822.749 287.173 0.00007962357 0.00024050865 0.0000855580 0.0001029671 219750.635 192511.953 207623.959 1.26169 -7.58704 -0.08392 0.0002548732 -0.98716 24.008 0.000813 822.626 287.259 0.00007911599 0.00024107336 0.0000850446 0.0001031693 219634.992 192643.301 207490.768 1.31578 -7.91484 -0.08555 0.0002545619 -1.06095 25.011 0.000847 822.512 287.351 0.00007860805 0.00024163248 0.0000845277 0.0001033625 219529.130 192791.054 207371.445 1.36969 -8.24189 -0.08701 0.0002542382 -1.13716 26.015 0.000881 822.410 287.449 0.00007809985 0.00024218592 0.0000840075 0.0001035465 219433.007 192955.198 207265.997 1.42337 -8.56814 -0.08830 0.0002539021 -1.21576 27.019 0.000915 822.317 287.554 0.00007759147 0.00024273357 0.0000834842 0.0001037215 219346.586 193135.718 207174.434 1.47684 -8.89351 -0.08942 0.0002535537 -1.29673 28.022 0.000949 822.235 287.665 0.00007708302 0.00024327534 0.0000829579 0.0001038872 219269.831 193332.600 207096.768 1.53006 -9.21795 -0.09037 0.0002531931 -1.38006 29.026 0.000983 822.163 287.782 0.00007657460 0.00024381110 0.0000824288 0.0001040437 219202.711 193545.834 207033.014 1.58302 -9.54139 -0.09115 0.0002528205 -1.46573 30.000 0.001016 822.103 287.902 0.00007608126 0.00024432528 0.0000819126 0.0001041867 219146.752 193768.422 206984.457 1.63416 -9.85431 -0.09174 0.0002524474 -1.55109 31.004 0.001050 822.052 288.032 0.00007557318 0.00024484892 0.0000813784 0.0001043248 219098.539 194013.845 206948.175 1.68656 -10.17561 -0.09218 0.0002520513 -1.64130 32.008 0.001084 822.010 288.167 0.00007506544 0.00024536623 0.0000808419 0.0001044536 219059.887 194275.589 206925.868 1.73866 -10.49572 -0.09246 0.0002516435 -1.73379 33.011 0.001118 821.979 288.309 0.00007455812 0.00024587711 0.0000803031 0.0001045729 219030.780 194553.643 206917.565 1.79044 -10.81457 -0.09256 0.0002512241 -1.82853 34.015 0.001152 821.958 288.457 0.00007405134 0.00024638144 0.0000797624 0.0001046828 219011.204 194848.000 206923.296 1.84187 -11.13211 -0.09249 0.0002507932 -1.92550 35.019 0.001186 821.947 288.611 0.00007354519 0.00024687908 0.0000792198 0.0001047832 219001.152 195158.652 206943.098 1.89296 -11.44825 -0.09225 0.0002503510 -2.02469 36.022 0.001220 821.947 288.771 0.00007303980 0.00024736993 0.0000786755 0.0001048741 219000.620 195485.589 206977.008 1.94367 -11.76293 -0.09183 0.0002498977 -2.12607 37.026 0.001254 821.956 288.938 0.00007253526 0.00024785385 0.0000781298 0.0001049554 219009.612 195828.804 207025.072 1.99399 -12.07608 -0.09124 0.0002494332 -2.22962 38.000 0.001287 821.975 289.104 0.00007204648 0.00024831679 0.0000775988 0.0001050252 219027.453 196177.482 207085.302 2.04244 -12.37848 -0.09051 0.0002489720 -2.33218 39.004 0.001321 822.005 289.282 0.00007154396 0.00024878668 0.0000770505 0.0001050877 219055.239 196552.746 207161.401 2.09194 -12.68840 -0.08958 0.0002484862 -2.43994 40.008 0.001355 822.045 289.466 0.00007104261 0.00024924924 0.0000765013 0.0001051405 219092.590 196944.259 207251.810 2.14100 -12.99657 -0.08847 0.0002479898 -2.54982 41.011 0.001389 822.095 289.656 0.00007054257 0.00024970433 0.0000759512 0.0001051837 219139.531 197352.011 207356.592 2.18960 -13.30290 -0.08719 0.0002474829 -2.66177 42.015 0.001423 822.155 289.851 0.00007004395 0.00025015182 0.0000754004 0.0001052173 219196.097 197775.988 207475.816 2.23773 -13.60734 -0.08573 0.0002469657 -2.77579 43.019 0.001457 822.226 290.052 0.00006954686 0.00025059154 0.0000748491 0.0001052412 219262.329 198216.176 207609.557 2.28535 -13.90979 -0.08409 0.0002464383 -2.89186 44.022 0.001491 822.307 290.259 0.00006905142 0.00025102334 0.0000742975 0.0001052554 219338.277 198672.560 207757.897 2.33246 -14.21018 -0.08228 0.0002459009 -3.00994 45.026 0.001525 822.399 290.472 0.00006855776 0.00025144707 0.0000737457 0.0001052600 219423.999 199145.121 207920.924 2.37904 -14.50842 -0.08029 0.0002453537 -3.13002 46.000 0.001558 822.498 290.684 0.00006808043 0.00025185047 0.0000732102 0.0001052552 219516.609 199619.234 208093.290 2.42371 -14.79576 -0.07818 0.0002448134 -3.24845 47.004 0.001592 822.610 290.908 0.00006759062 0.00025225781 0.0000726586 0.0001052407 219621.797 200123.609 208285.544 2.46918 -15.08953 -0.07582 0.0002442473 -3.37240 48.007 0.001626 822.733 291.138 0.00006710296 0.00025265657 0.0000721073 0.0001052166 219736.986 200644.091 208492.791 2.51405 -15.38090 -0.07329 0.0002436719 -3.49828 49.011 0.001660 822.867 291.373 0.00006661756 0.00025304658 0.0000715565 0.0001051828 219862.275 201180.647 208715.150 2.55832 -15.66978 -0.07057 0.0002430874 -3.62606 50.015 0.001694 823.011 291.613 0.00006613457 0.00025342765 0.0000710065 0.0001051394 219997.773 201733.243 208952.751 2.60194 -15.95609 -0.06766 0.0002424939 -3.75573 51.018 0.001728 823.166 291.859 0.00006565411 0.00025379959 0.0000704572 0.0001050864 220143.601 202301.837 209205.734 2.64492 -16.23972 -0.06457 0.0002418916 -3.88727 52.022 0.001762 823.333 292.111 0.00006517632 0.00025416220 0.0000699090 0.0001050237 220299.894 202886.383 209474.249 2.68722 -16.52059 -0.06128 0.0002412807 -4.02064 53.026 0.001796 823.511 292.367 0.00006470134 0.00025451527 0.0000693619 0.0001049515 220466.801 203486.829 209758.459 2.72882 -16.79860 -0.05781 0.0002406614 -4.15582 54.000 0.001829 823.694 292.622 0.00006424313 0.00025484864 0.0000688323 0.0001048722 220639.104 204084.763 210049.483 2.76851 -17.06560 -0.05425 0.0002400525 -4.28874 55.004 0.001863 823.895 292.889 0.00006377408 0.00025518228 0.0000682881 0.0001047811 220827.420 204716.357 210365.144 2.80867 -17.33767 -0.05038 0.0002394172 -4.42744 56.007 0.001897 824.107 293.161 0.00006330825 0.00025550574 0.0000677455 0.0001046805 221026.883 205363.649 210697.060 2.84807 -17.60658 -0.04632 0.0002387740 -4.56788 57.011 0.001931 824.331 293.439 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0.0002580845 1.66774 354.012 0.011992 830.821 287.529 0.00009373692 0.00022217909 0.0000982360 0.0000935886 227525.091 195904.218 217452.912 5.72098 1.95817 4.45152 0.0002581727 1.67424 355.015 0.012026 830.381 287.418 0.00009327785 0.00022286857 0.0000978849 0.0000940143 227102.463 195546.940 216915.771 5.77509 1.63241 4.44495 0.0002582473 1.67784 356.019 0.012060 829.952 287.315 0.00009281595 0.00022355479 0.0000975264 0.0000944338 226691.370 195207.341 216392.829 5.82936 1.30586 4.43855 0.0002583083 1.67854 357.023 0.012094 829.534 287.218 0.00009235128 0.00022423770 0.0000971606 0.0000948470 226291.746 194885.346 215884.070 5.88379 0.97858 4.43233 0.0002583556 1.67636 358.026 0.012128 829.128 287.129 0.00009188393 0.00022491721 0.0000967877 0.0000952536 225903.523 194580.883 215389.479 5.93836 0.65060 4.42628 0.0002583893 1.67131 359.001 0.012161 828.745 287.049 0.00009142783 0.00022557342 0.0000964189 0.0000956420 225537.559 194302.075 214922.967 5.99146 0.33167 4.42057 0.0002584090 1.66368 360.004 0.012195 828.361 286.974 0.00009095544 0.00022624602 0.0000960322 0.0000960356 225171.607 194031.957 214456.245 6.04628 0.00249 4.41486 0.0002584157 1.65301 Engine speed (Hz) = 82.0000000000 Output power (W) = 135.5179689488 Heat into heater (W) = 495.7953323528 Heat to regenerator (W) = 0.2042530101 Heat removal from cooler (W) = 362.0187474353 Approximate Pumping loss (W) = -320.5606928068 Thermal efficiency (%) = 27.3334499350 The average engine pressure (Pa) = 275582.2070286548 The exp space work per cycle (J) = 6.0563535176 The comp space work per cycle (J) = -4.4036953597 The net work per cycle (J) = 1.6526581579 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.3683582025 The expansion work for Vmin-to-Vmax (J) = 25.0210163604 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.025 0.000001 829.280 287.032 0.00009104790 0.00022603350 0.0000960240 0.0000960437 225669.713 193872.178 214736.129 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.011 0.000034 828.918 286.965 0.00009058184 0.00022669059 0.0000956373 0.0000964235 225323.978 193624.770 214290.785 0.05352 -0.32370 -0.00545 0.0002584088 -0.01354 2.027 0.000068 828.556 286.903 0.00009009924 0.00022736392 0.0000952320 0.0000968078 224978.940 193387.333 213846.147 0.10876 -0.65772 -0.01089 0.0002583879 -0.03033 3.013 0.000101 828.215 286.850 0.00008962857 0.00022801381 0.0000948322 0.0000971739 224654.826 193173.775 213428.353 0.16246 -0.98238 -0.01600 0.0002583541 -0.04938 4.029 0.000135 827.876 286.803 0.00008914138 0.00022867957 0.0000944137 0.0000975439 224331.925 192971.093 213012.064 0.21788 -1.31729 -0.02109 0.0002583056 -0.07181 5.015 0.000168 827.557 286.763 0.00008866642 0.00022932196 0.0000940014 0.0000978958 224029.163 192791.154 212621.751 0.27173 -1.64270 -0.02587 0.0002582452 -0.09629 6.001 0.000201 827.249 286.731 0.00008818946 0.00022996054 0.0000935831 0.0000982405 223736.818 192627.695 212244.948 0.32563 -1.96842 -0.03047 0.0002581716 -0.12344 7.017 0.000235 826.942 286.704 0.00008769605 0.00023061443 0.0000931459 0.0000985882 223446.441 192476.467 211870.840 0.38122 -2.30427 -0.03505 0.0002580821 -0.15417 8.003 0.000268 826.656 286.685 0.00008721528 0.00023124509 0.0000927158 0.0000989181 223175.047 192346.317 211521.418 0.43521 -2.63045 -0.03933 0.0002579819 -0.18666 9.019 0.000302 826.372 286.672 0.00008671811 0.00023189065 0.0000922667 0.0000992502 222906.119 192229.310 211175.486 0.49085 -2.96668 -0.04356 0.0002578650 -0.22287 10.005 0.000335 826.106 286.667 0.00008623387 0.00023251306 0.0000918253 0.0000995649 222655.412 192132.284 210853.379 0.54487 -3.29312 -0.04750 0.0002577383 -0.26064 11.021 0.000369 825.844 286.668 0.00008573328 0.00023314998 0.0000913650 0.0000998812 222407.664 192049.315 210535.560 0.60052 -3.62952 -0.05139 0.0002575941 -0.30226 12.007 0.000402 825.600 286.676 0.00008524588 0.00023376386 0.0000909128 0.0001001803 222177.384 191985.244 210240.709 0.65451 -3.95602 -0.05499 0.0002574411 -0.34526 13.023 0.000436 825.360 286.690 0.00008474222 0.00023439182 0.0000904417 0.0001004802 221950.551 191936.149 209950.943 0.71012 -4.29237 -0.05854 0.0002572699 -0.39222 14.009 0.000469 825.137 286.711 0.00008425200 0.00023499684 0.0000899794 0.0001007633 221740.444 191904.882 209683.295 0.76405 -4.61873 -0.06181 0.0002570908 -0.44037 15.025 0.000503 824.918 286.739 0.00008374561 0.00023561552 0.0000894981 0.0001010467 221534.267 191889.514 209421.530 0.81957 -4.95482 -0.06501 0.0002568928 -0.49260 16.011 0.000536 824.716 286.773 0.00008325292 0.00023621137 0.0000890262 0.0001013135 221344.088 191890.918 209181.038 0.87338 -5.28083 -0.06796 0.0002566877 -0.54583 17.027 0.000570 824.518 286.815 0.00008274416 0.00023682043 0.0000885353 0.0001015798 221158.317 191909.147 208947.232 0.92874 -5.61645 -0.07082 0.0002564631 -0.60326 18.013 0.000603 824.337 286.862 0.00008224933 0.00023740679 0.0000880543 0.0001018300 220987.826 191943.103 208733.859 0.98239 -5.94188 -0.07343 0.0002562323 -0.66150 19.029 0.000637 824.161 286.917 0.00008173855 0.00023800588 0.0000875544 0.0001020790 220822.223 191994.815 208527.979 1.03755 -6.27680 -0.07594 0.0002559814 -0.72406 20.015 0.000670 824.000 286.977 0.00008124194 0.00023858240 0.0000870650 0.0001023122 220671.194 192061.220 208341.698 1.09097 -6.60145 -0.07822 0.0002557252 -0.78723 21.001 0.000703 823.849 287.043 0.00008074458 0.00023915394 0.0000865717 0.0001025369 220529.670 192143.573 208168.755 1.14426 -6.92563 -0.08034 0.0002554566 -0.85282 22.017 0.000737 823.704 287.117 0.00008023146 0.00023973751 0.0000860595 0.0001027595 220393.748 192245.081 208004.521 1.19901 -7.25909 -0.08235 0.0002551670 -0.92288 23.003 0.000770 823.574 287.196 0.00007973286 0.00024029868 0.0000855586 0.0001029669 220271.372 192359.756 207858.655 1.25199 -7.58215 -0.08413 0.0002548735 -0.99330 24.019 0.000804 823.450 287.284 0.00007921864 0.00024087139 0.0000850389 0.0001031715 220155.075 192494.528 207722.321 1.30640 -7.91434 -0.08580 0.0002545584 -1.06830 25.005 0.000837 823.339 287.375 0.00007871915 0.00024142183 0.0000845311 0.0001033612 220051.655 192641.455 207603.541 1.35902 -8.23605 -0.08725 0.0002542403 -1.14346 26.021 0.000871 823.236 287.476 0.00007820421 0.00024198327 0.0000840046 0.0001035476 219954.798 192809.425 207495.123 1.41302 -8.56673 -0.08858 0.0002539001 -1.22332 27.007 0.000904 823.145 287.579 0.00007770421 0.00024252259 0.0000834904 0.0001037195 219870.160 192988.546 207403.454 1.46522 -8.88685 -0.08970 0.0002535579 -1.30316 28.023 0.000938 823.062 287.693 0.00007718894 0.00024307238 0.0000829577 0.0001038873 219792.575 193189.661 207322.989 1.51876 -9.21577 -0.09069 0.0002531930 -1.38779 29.009 0.000971 822.992 287.809 0.00007668881 0.00024360018 0.0000824379 0.0001040411 219726.570 193400.927 207258.476 1.57048 -9.53407 -0.09147 0.0002528270 -1.47223 30.025 0.001005 822.929 287.935 0.00007617361 0.00024413788 0.0000818996 0.0001041902 219668.112 193635.140 207206.022 1.62350 -9.86097 -0.09212 0.0002524378 -1.56156 31.011 0.001038 822.879 288.063 0.00007567374 0.00024465375 0.0000813748 0.0001043258 219620.613 193878.513 207168.732 1.67467 -10.17719 -0.09257 0.0002520485 -1.65051 32.027 0.001072 822.836 288.201 0.00007515901 0.00024517893 0.0000808316 0.0001044560 219581.169 194145.787 207144.369 1.72710 -10.50182 -0.09287 0.0002516356 -1.74445 33.013 0.001105 822.805 288.342 0.00007465981 0.00024568241 0.0000803023 0.0001045731 219552.079 194421.231 207134.393 1.77767 -10.81571 -0.09299 0.0002512235 -1.83784 34.029 0.001139 822.783 288.493 0.00007414597 0.00024619461 0.0000797550 0.0001046843 219531.563 194721.533 207138.229 1.82944 -11.13780 -0.09295 0.0002507873 -1.93632 35.015 0.001172 822.772 288.645 0.00007364783 0.00024668526 0.0000792219 0.0001047828 219520.817 195029.020 207155.685 1.87934 -11.44909 -0.09273 0.0002503528 -2.03406 36.001 0.001205 822.770 288.803 0.00007315037 0.00024716941 0.0000786873 0.0001048722 219519.093 195352.279 207186.705 1.92889 -11.75899 -0.09235 0.0002499075 -2.13392 37.017 0.001239 822.778 288.973 0.00007263866 0.00024766131 0.0000781349 0.0001049547 219526.751 195701.821 207232.894 1.97956 -12.07678 -0.09179 0.0002494376 -2.23899 38.003 0.001272 822.795 289.143 0.00007214290 0.00024813190 0.0000775974 0.0001050254 219543.344 196057.078 207291.580 2.02834 -12.38367 -0.09107 0.0002489708 -2.34308 39.019 0.001306 822.824 289.324 0.00007163315 0.00024860956 0.0000770424 0.0001050885 219569.887 196439.573 207366.373 2.07819 -12.69820 -0.09015 0.0002484790 -2.45247 40.005 0.001339 822.861 289.506 0.00007113953 0.00024906605 0.0000765028 0.0001051404 219604.833 196826.798 207452.927 2.12614 -13.00180 -0.08910 0.0002479912 -2.56071 41.021 0.001373 822.910 289.699 0.00007063222 0.00024952892 0.0000759460 0.0001051841 219650.325 197242.209 207556.551 2.17509 -13.31278 -0.08783 0.0002474781 -2.67433 42.007 0.001406 822.967 289.892 0.00007014117 0.00024997078 0.0000754049 0.0001052170 219703.713 197661.360 207671.215 2.22213 -13.61278 -0.08643 0.0002469700 -2.78662 43.023 0.001440 823.035 290.097 0.00006963675 0.00025041826 0.0000748469 0.0001052412 219768.272 198109.643 207803.942 2.27011 -13.91990 -0.08480 0.0002464362 -2.90438 44.009 0.001473 823.112 290.302 0.00006914875 0.00025084489 0.0000743050 0.0001052553 219840.247 198560.671 207947.002 2.31618 -14.21600 -0.08305 0.0002459083 -3.02065 45.024 0.001507 823.202 290.519 0.00006864771 0.00025127638 0.0000737465 0.0001052600 219924.054 199041.765 208109.153 2.36312 -14.51893 -0.08107 0.0002453545 -3.14246 46.011 0.001540 823.298 290.735 0.00006816322 0.00025168717 0.0000732044 0.0001052551 220014.825 199524.605 208280.948 2.40814 -14.81080 -0.07897 0.0002448075 -3.26262 47.026 0.001574 823.409 290.963 0.00006766605 0.00025210200 0.0000726461 0.0001052403 220118.134 200038.431 208472.900 2.45396 -15.10921 -0.07662 0.0002442344 -3.38838 48.012 0.001607 823.526 291.190 0.00006718557 0.00025249630 0.0000721045 0.0001052165 220227.984 200552.994 208673.826 2.49786 -15.39652 -0.07416 0.0002436690 -3.51234 49.028 0.001641 823.657 291.429 0.00006669278 0.00025289378 0.0000715471 0.0001051822 220351.126 201099.449 208896.022 2.54247 -15.69006 -0.07144 0.0002430772 -3.64197 50.014 0.001674 823.795 291.667 0.00006621680 0.00025327087 0.0000710067 0.0001051394 220480.420 201645.617 209126.542 2.58517 -15.97246 -0.06862 0.0002424941 -3.76964 51.000 0.001707 823.943 291.910 0.00006574323 0.00025363923 0.0000704671 0.0001050874 220619.453 202207.300 209371.831 2.62724 -16.25231 -0.06562 0.0002419025 -3.89910 52.016 0.001741 824.106 292.166 0.00006525796 0.00025400940 0.0000699121 0.0001050241 220773.016 202802.184 209640.149 2.66992 -16.53789 -0.06234 0.0002412842 -4.03433 53.002 0.001774 824.275 292.420 0.00006478967 0.00025435941 0.0000693747 0.0001049533 220932.217 203395.227 209915.869 2.71066 -16.81229 -0.05897 0.0002406760 -4.16736 54.018 0.001808 824.461 292.687 0.00006431013 0.00025471027 0.0000688223 0.0001048706 221106.863 204022.312 210215.875 2.75193 -17.09204 -0.05530 0.0002400409 -4.30623 55.004 0.001841 824.652 292.951 0.00006384767 0.00025504111 0.0000682877 0.0001047810 221286.853 204646.488 210522.703 2.79127 -17.36060 -0.05154 0.0002394167 -4.44274 56.020 0.001875 824.861 293.228 0.00006337441 0.00025537176 0.0000677385 0.0001046791 221483.289 205305.507 210855.151 2.83104 -17.63413 -0.04748 0.0002387656 -4.58515 57.006 0.001908 825.075 293.503 0.00006291834 0.00025568253 0.0000672073 0.0001045709 221684.821 205960.522 211193.876 2.86887 -17.89643 -0.04333 0.0002381263 -4.72505 58.022 0.001942 825.307 293.790 0.00006245197 0.00025599201 0.0000666621 0.0001044499 221903.894 206651.132 211559.647 2.90705 -18.16330 -0.03886 0.0002374600 -4.87089 59.008 0.001975 825.545 294.074 0.00006200287 0.00025628172 0.0000661350 0.0001043232 222127.867 207336.609 211931.196 2.94330 -18.41892 -0.03431 0.0002368062 -5.01409 60.024 0.002009 825.802 294.372 0.00006154399 0.00025656896 0.0000655943 0.0001041832 222370.591 208058.370 212331.323 2.97979 -18.67868 -0.02942 0.0002361255 -5.16328 61.010 0.002042 826.064 294.666 0.00006110248 0.00025683655 0.0000650720 0.0001040382 222618.077 208773.823 212736.786 3.01434 -18.92716 -0.02446 0.0002354581 -5.30967 62.026 0.002076 826.347 294.973 0.00006065173 0.00025710040 0.0000645365 0.0001038794 222885.656 209526.170 213172.495 3.04904 -19.17930 -0.01913 0.0002347639 -5.46211 63.012 0.002109 826.634 295.276 0.00006021843 0.00025734467 0.0000640195 0.0001037162 223157.931 210270.979 213613.173 3.08180 -19.42016 -0.01374 0.0002340837 -5.61161 64.028 0.002143 826.945 295.593 0.00005977649 0.00025758382 0.0000634899 0.0001035388 223451.798 211053.184 214085.932 3.11459 -19.66418 -0.00795 0.0002333767 -5.76719 65.014 0.002176 827.260 295.905 0.00005935207 0.00025780343 0.0000629790 0.0001033576 223750.381 211826.546 214563.392 3.14545 -19.89687 -0.00211 0.0002326846 -5.91969 66.000 0.002209 827.588 296.221 0.00005893227 0.00025801034 0.0000624713 0.0001031677 224062.568 212613.604 215059.652 3.17533 -20.12534 0.00396 0.0002319870 -6.07363 67.016 0.002243 827.943 296.551 0.00005850479 0.00025820983 0.0000619516 0.0001029629 224398.953 213438.530 215591.165 3.20505 -20.35616 0.01046 0.0002312626 -6.23372 68.002 0.002276 828.301 296.875 0.00005809495 0.00025838971 0.0000614508 0.0001027554 224740.296 214252.453 216127.273 3.23284 -20.57559 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0.0002572778 1.50276 348.008 0.011647 834.420 288.357 0.00009651879 0.00021777689 0.0001001758 0.0000909197 230736.144 198228.440 221230.292 5.36302 3.88881 4.52071 0.0002574435 1.52627 349.024 0.011681 833.909 288.200 0.00009607391 0.00021849208 0.0000998674 0.0000913854 230240.731 197758.535 220600.105 5.41618 3.56541 4.51300 0.0002576008 1.54748 350.010 0.011714 833.424 288.055 0.00009563884 0.00021918355 0.0000995602 0.0000918320 229771.531 197320.292 220002.400 5.46800 3.25044 4.50569 0.0002577403 1.56514 351.026 0.011748 832.936 287.914 0.00009518727 0.00021989312 0.0000992357 0.0000922866 229300.042 196887.061 219400.945 5.52160 2.92485 4.49833 0.0002578704 1.58036 352.012 0.011781 832.473 287.784 0.00009474585 0.00022057898 0.0000989132 0.0000927223 228853.933 196484.245 218831.109 5.57383 2.60786 4.49136 0.0002579835 1.59224 353.028 0.011815 832.009 287.657 0.00009428790 0.00022128261 0.0000985730 0.0000931653 228406.099 196087.346 218258.344 5.62783 2.28029 4.48435 0.0002580863 1.60151 354.014 0.011848 831.569 287.541 0.00009384045 0.00022196257 0.0000982354 0.0000935894 227982.818 195719.632 217716.331 5.68042 1.96147 4.47772 0.0002581728 1.60764 355.029 0.011882 831.127 287.429 0.00009337645 0.00022265997 0.0000978800 0.0000940203 227558.368 195358.737 217172.207 5.73479 1.63212 4.47107 0.0002582482 1.61102 356.016 0.011915 830.709 287.327 0.00009292328 0.00022333373 0.0000975277 0.0000944323 227157.649 195025.814 216657.965 5.78772 1.31166 4.46478 0.0002583081 1.61145 357.002 0.011948 830.303 287.232 0.00009246741 0.00022400432 0.0000971685 0.0000948383 226767.945 194709.920 216157.380 5.84079 0.99048 4.45865 0.0002583548 1.60911 358.017 0.011982 829.895 287.142 0.00009199499 0.00022469187 0.0000967911 0.0000952500 226377.882 194402.190 215655.893 5.89563 0.65883 4.45252 0.0002583891 1.60379 359.004 0.012015 829.511 287.061 0.00009153387 0.00022535584 0.0000964178 0.0000956432 226010.339 194120.657 215182.989 5.94898 0.33630 4.44673 0.0002584090 1.59582 360.019 0.012049 829.126 286.986 0.00009105620 0.00022603641 0.0000960263 0.0000960414 225642.970 193848.190 214709.988 6.00407 0.00337 4.44095 0.0002584157 1.58474 Engine speed (Hz) = 83.0000000000 Output power (W) = 131.5031391782 Heat into heater (W) = 498.3381411988 Heat to regenerator (W) = 0.2799840512 Heat removal from cooler (W) = 368.5985309660 Approximate Pumping loss (W) = -330.8590004435 Thermal efficiency (%) = 26.3883352099 The average engine pressure (Pa) = 275662.7113313321 The exp space work per cycle (J) = 6.0144983526 The comp space work per cycle (J) = -4.4301231818 The net work per cycle (J) = 1.5843751708 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.4056148063 The expansion work for Vmin-to-Vmax (J) = 24.9899899772 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.013 0.000000 830.059 287.044 0.00009116141 0.00022580545 0.0000960288 0.0000960389 226151.945 193694.300 215003.135 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.011 0.000033 829.695 286.976 0.00009069024 0.00022647030 0.0000956374 0.0000964234 225804.892 193444.576 214551.629 0.05376 -0.32734 -0.00552 0.0002584088 -0.01394 2.009 0.000066 829.343 286.916 0.00009021667 0.00022713159 0.0000952394 0.0000968010 225468.717 193211.995 214113.997 0.10762 -0.65520 -0.01088 0.0002583884 -0.03067 3.007 0.000099 829.002 286.862 0.00008974078 0.00022778927 0.0000948348 0.0000971716 225143.350 192996.497 213690.223 0.16157 -0.98356 -0.01606 0.0002583544 -0.05017 4.005 0.000132 828.671 286.816 0.00008926264 0.00022844325 0.0000944239 0.0000975350 224828.720 192798.025 213280.288 0.21561 -1.31234 -0.02108 0.0002583070 -0.07243 5.003 0.000165 828.351 286.776 0.00008878234 0.00022909346 0.0000940067 0.0000978913 224524.759 192616.523 212884.175 0.26971 -1.64151 -0.02592 0.0002582460 -0.09742 6.000 0.000198 828.043 286.744 0.00008829996 0.00022973984 0.0000935834 0.0000982403 224231.396 192451.938 212501.867 0.32387 -1.97102 -0.03060 0.0002581717 -0.12514 7.029 0.000232 827.736 286.717 0.00008780088 0.00023040170 0.0000931409 0.0000985920 223940.155 192300.004 212122.396 0.37972 -2.31080 -0.03524 0.0002580810 -0.15654 8.027 0.000265 827.449 286.698 0.00008731452 0.00023104005 0.0000927055 0.0000989258 223668.096 192169.609 211768.064 0.43396 -2.64084 -0.03957 0.0002579793 -0.18974 9.024 0.000298 827.173 286.686 0.00008682633 0.00023167434 0.0000922643 0.0000992520 223406.426 192055.983 211427.487 0.48823 -2.97105 -0.04374 0.0002578643 -0.22562 10.022 0.000331 826.907 286.681 0.00008633638 0.00023230448 0.0000918175 0.0000995704 223155.076 191959.081 211100.648 0.54250 -3.30141 -0.04774 0.0002577359 -0.26417 11.020 0.000364 826.652 286.683 0.00008584477 0.00023293041 0.0000913653 0.0000998809 222913.979 191878.861 210787.533 0.59678 -3.63184 -0.05157 0.0002575942 -0.30535 12.018 0.000397 826.408 286.691 0.00008535157 0.00023355204 0.0000909077 0.0001001836 222683.067 191815.284 210488.125 0.65104 -3.96230 -0.05523 0.0002574393 -0.34916 13.016 0.000430 826.174 286.706 0.00008485687 0.00023416930 0.0000904449 0.0001004782 222462.274 191768.312 210202.412 0.70528 -4.29275 -0.05873 0.0002572711 -0.39558 14.014 0.000463 825.951 286.728 0.00008436075 0.00023478211 0.0000899770 0.0001007648 222251.533 191737.909 209930.381 0.75948 -4.62312 -0.06206 0.0002570898 -0.44459 15.012 0.000496 825.738 286.756 0.00008386329 0.00023539039 0.0000895043 0.0001010431 222050.781 191724.043 209672.019 0.81363 -4.95337 -0.06522 0.0002568954 -0.49617 16.010 0.000529 825.535 286.791 0.00008336459 0.00023599406 0.0000890267 0.0001013132 221859.953 191726.681 209427.315 0.86771 -5.28344 -0.06821 0.0002566879 -0.55032 17.008 0.000562 825.343 286.832 0.00008286473 0.00023659304 0.0000885445 0.0001015749 221678.987 191745.794 209196.259 0.92172 -5.61328 -0.07104 0.0002564674 -0.60700 18.006 0.000595 825.161 286.881 0.00008236379 0.00023718724 0.0000880578 0.0001018282 221507.821 191781.355 208978.843 0.97564 -5.94283 -0.07370 0.0002562340 -0.66620 19.004 0.000628 824.990 286.935 0.00008186187 0.00023777657 0.0000875668 0.0001020729 221346.395 191833.339 208775.060 1.02946 -6.27205 -0.07619 0.0002559878 -0.72790 20.002 0.000661 824.828 286.996 0.00008135905 0.00023836096 0.0000870716 0.0001023091 221194.649 191901.722 208584.903 1.08316 -6.60087 -0.07851 0.0002557287 -0.79208 21.030 0.000695 824.673 287.066 0.00008084014 0.00023895780 0.0000865572 0.0001025433 221048.370 191989.307 208403.232 1.13835 -6.93918 -0.08074 0.0002554486 -0.86079 22.028 0.000728 824.532 287.140 0.00008033578 0.00023953187 0.0000860540 0.0001027619 220916.106 192090.920 208240.730 1.19178 -7.26703 -0.08273 0.0002551639 -0.92996 23.026 0.000761 824.401 287.220 0.00007983078 0.00024010073 0.0000855470 0.0001029716 220793.354 192208.872 208091.847 1.24504 -7.59431 -0.08455 0.0002548666 -1.00156 24.024 0.000794 824.281 287.307 0.00007932525 0.00024066428 0.0000850365 0.0001031724 220680.064 192343.146 207956.585 1.29813 -7.92097 -0.08620 0.0002545569 -1.07556 25.021 0.000827 824.170 287.401 0.00007881929 0.00024122243 0.0000845225 0.0001033644 220576.187 192493.726 207834.947 1.35104 -8.24695 -0.08769 0.0002542349 -1.15196 26.019 0.000860 824.069 287.500 0.00007831297 0.00024177507 0.0000840053 0.0001035473 220481.674 192660.599 207726.938 1.40375 -8.57218 -0.08901 0.0002539006 -1.23072 27.017 0.000893 823.978 287.606 0.00007780640 0.00024232212 0.0000834850 0.0001037212 220396.481 192843.752 207632.566 1.45624 -8.89662 -0.09016 0.0002535542 -1.31183 28.015 0.000926 823.897 287.718 0.00007729968 0.00024286347 0.0000829617 0.0001038861 220320.568 193043.175 207551.841 1.50850 -9.22019 -0.09115 0.0002531958 -1.39526 29.013 0.000959 823.826 287.837 0.00007679290 0.00024339902 0.0000824356 0.0001040417 220253.894 193258.856 207484.777 1.56051 -9.54284 -0.09197 0.0002528254 -1.48101 30.011 0.000992 823.765 287.961 0.00007628616 0.00024392866 0.0000819069 0.0001041882 220196.425 193490.787 207431.388 1.61227 -9.86450 -0.09263 0.0002524432 -1.56905 31.009 0.001025 823.713 288.092 0.00007577956 0.00024445229 0.0000813757 0.0001043255 220148.128 193738.959 207391.695 1.66375 -10.18512 -0.09311 0.0002520493 -1.65935 32.007 0.001058 823.671 288.229 0.00007527319 0.00024496980 0.0000808422 0.0001044535 220108.975 194003.366 207365.717 1.71494 -10.50462 -0.09343 0.0002516438 -1.75191 33.005 0.001091 823.639 288.372 0.00007476717 0.00024548107 0.0000803066 0.0001045722 220078.940 194283.999 207353.481 1.76582 -10.82294 -0.09358 0.0002512268 -1.84669 34.003 0.001124 823.617 288.521 0.00007426159 0.00024598600 0.0000797690 0.0001046815 220058.003 194580.853 207355.014 1.81638 -11.14001 -0.09356 0.0002507985 -1.94367 35.001 0.001157 823.604 288.677 0.00007375655 0.00024648445 0.0000792295 0.0001047815 220046.148 194893.922 207370.349 1.86660 -11.45577 -0.09337 0.0002503591 -2.04285 36.029 0.001191 823.601 288.843 0.00007323690 0.00024699112 0.0000786720 0.0001048747 220043.420 195233.430 207400.622 1.91798 -11.77965 -0.09300 0.0002498947 -2.14729 37.027 0.001224 823.608 289.010 0.00007273330 0.00024747607 0.0000781294 0.0001049555 220049.974 195579.400 207444.094 1.96746 -12.09254 -0.09247 0.0002494329 -2.25084 38.025 0.001257 823.624 289.184 0.00007223057 0.00024795418 0.0000775854 0.0001050269 220065.591 195941.565 207501.489 2.01656 -12.40389 -0.09177 0.0002489603 -2.35651 39.023 0.001290 823.651 289.363 0.00007172882 0.00024842531 0.0000770403 0.0001050887 220090.275 196319.919 207572.857 2.06525 -12.71365 -0.09090 0.0002484770 -2.46428 40.020 0.001323 823.687 289.548 0.00007122817 0.00024888934 0.0000764942 0.0001051411 220124.038 196714.455 207658.252 2.11351 -13.02174 -0.08985 0.0002479833 -2.57413 41.018 0.001356 823.732 289.739 0.00007072872 0.00024934611 0.0000759472 0.0001051840 220166.897 197125.163 207757.732 2.16134 -13.32808 -0.08863 0.0002474792 -2.68604 42.016 0.001389 823.788 289.936 0.00007023059 0.00024979550 0.0000753996 0.0001052173 220218.876 197552.034 207871.363 2.20871 -13.63260 -0.08724 0.0002469649 -2.79998 43.014 0.001422 823.853 290.139 0.00006973389 0.00025023736 0.0000748515 0.0001052411 220280.008 197995.057 207999.215 2.25561 -13.93522 -0.08568 0.0002464406 -2.91594 44.012 0.001455 823.928 290.347 0.00006923875 0.00025067152 0.0000743030 0.0001052553 220350.332 198454.218 208141.365 2.30201 -14.23586 -0.08394 0.0002459064 -3.03388 45.010 0.001488 824.013 290.561 0.00006874527 0.00025109785 0.0000737544 0.0001052600 220429.895 198929.503 208297.895 2.34790 -14.53444 -0.08203 0.0002453624 -3.15380 46.008 0.001521 824.107 290.781 0.00006825359 0.00025151618 0.0000732058 0.0001052551 220518.755 199420.894 208468.897 2.39326 -14.83088 -0.07993 0.0002448090 -3.27567 47.006 0.001554 824.212 291.006 0.00006776383 0.00025192634 0.0000726574 0.0001052407 220616.978 199928.370 208654.468 2.43807 -15.12509 -0.07766 0.0002442461 -3.39946 48.004 0.001587 824.326 291.238 0.00006727610 0.00025232817 0.0000721093 0.0001052167 220724.639 200451.908 208854.713 2.48232 -15.41699 -0.07521 0.0002436740 -3.52515 49.002 0.001620 824.451 291.474 0.00006679055 0.00025272149 0.0000715617 0.0001051832 220841.827 200991.480 209069.748 2.52597 -15.70649 -0.07258 0.0002430929 -3.65272 50.030 0.001654 824.590 291.724 0.00006629268 0.00025311763 0.0000709982 0.0001051387 220972.633 201564.138 209306.897 2.57032 -16.00216 -0.06968 0.0002424849 -3.78610 51.028 0.001687 824.736 291.971 0.00006581192 0.00025349310 0.0000704521 0.0001050858 221109.476 202136.160 209552.348 2.61272 -16.28651 -0.06668 0.0002418859 -3.91742 52.026 0.001720 824.892 292.224 0.00006533372 0.00025385950 0.0000699070 0.0001050235 221256.180 202724.105 209812.993 2.65447 -16.56819 -0.06349 0.0002412785 -4.05055 53.024 0.001753 825.058 292.483 0.00006485822 0.00025421661 0.0000693631 0.0001049516 221412.884 203327.922 210088.989 2.69556 -16.84710 -0.06012 0.0002406628 -4.18546 54.022 0.001786 825.235 292.747 0.00006438555 0.00025456422 0.0000688206 0.0001048703 221579.739 203947.557 210380.503 2.73595 -17.12313 -0.05655 0.0002400389 -4.32214 55.020 0.001819 825.424 293.016 0.00006391586 0.00025490213 0.0000682795 0.0001047796 221756.912 204582.947 210687.717 2.77563 -17.39620 -0.05279 0.0002394071 -4.46056 56.017 0.001852 825.623 293.290 0.00006344928 0.00025523011 0.0000677401 0.0001046794 221944.589 205234.021 211010.828 2.81457 -17.66619 -0.04884 0.0002387675 -4.60070 57.015 0.001885 825.833 293.569 0.00006298597 0.00025554791 0.0000672025 0.0001045699 222142.972 205900.695 211350.047 2.85276 -17.93301 -0.04469 0.0002381204 -4.74253 58.013 0.001918 826.055 293.853 0.00006252607 0.00025585530 0.0000666669 0.0001044510 222352.282 206582.878 211705.606 2.89017 -18.19654 -0.04034 0.0002374659 -4.88603 59.011 0.001951 826.288 294.143 0.00006206972 0.00025615201 0.0000661335 0.0001043228 222572.761 207280.464 212077.754 2.92678 -18.45667 -0.03579 0.0002368043 -5.03117 60.009 0.001984 826.534 294.437 0.00006161709 0.00025643777 0.0000656023 0.0001041854 222804.676 207993.335 212466.763 2.96255 -18.71328 -0.03103 0.0002361357 -5.17794 61.007 0.002017 826.791 294.736 0.00006116832 0.00025671231 0.0000650737 0.0001040387 223048.315 208721.355 212872.928 2.99747 -18.96626 -0.02606 0.0002354604 -5.32630 62.005 0.002050 827.061 295.040 0.00006072358 0.00025697532 0.0000645476 0.0001038828 223303.994 209464.372 213296.572 3.03151 -19.21549 -0.02088 0.0002347785 -5.47624 63.003 0.002083 827.344 295.348 0.00006028303 0.00025722650 0.0000640244 0.0001037178 223572.058 210222.211 213738.049 3.06465 -19.46083 -0.01548 0.0002340902 -5.62772 64.001 0.002116 827.640 295.661 0.00005984685 0.00025746549 0.0000635042 0.0001035437 223852.882 210994.675 214197.749 3.09685 -19.70216 -0.00985 0.0002333959 -5.78073 65.029 0.002150 827.960 295.988 0.00005940218 0.00025769861 0.0000629714 0.0001033549 224155.998 211805.604 214690.894 3.12902 -19.94645 -0.00382 0.0002326742 -5.93994 66.027 0.002183 828.284 296.310 0.00005897538 0.00025791176 0.0000624576 0.0001031625 224464.038 212607.031 215188.967 3.15923 -20.17919 0.00227 0.0002319681 -6.09596 67.025 0.002216 828.623 296.636 0.00005855348 0.00025811157 0.0000619472 0.0001029612 224786.212 213422.293 215706.725 3.18842 -20.40747 0.00861 0.0002312564 -6.25344 68.023 0.002249 828.977 296.966 0.00005813667 0.00025829758 0.0000614404 0.0001027510 225123.066 214251.043 216244.777 3.21655 -20.63114 0.01519 0.0002305395 -6.41233 69.021 0.002282 829.346 297.300 0.00005772514 0.00025846931 0.0000609374 0.0001025320 225475.205 215092.879 216803.818 3.24358 -20.85001 0.02203 0.0002298175 -6.57262 70.019 0.002315 829.732 297.637 0.00005731910 0.00025862619 0.0000604382 0.0001023044 225843.304 215947.323 217384.654 3.26947 -21.06391 0.02913 0.0002290906 -6.73428 71.016 0.002348 830.135 297.978 0.00005691877 0.00025876761 0.0000599431 0.0001020680 226228.119 216813.806 217988.235 3.29419 -21.27262 0.03652 0.0002283592 -6.89729 72.014 0.002381 830.556 298.323 0.00005652438 0.00025889284 0.0000594522 0.0001018231 226630.508 217691.630 218615.712 3.31768 -21.47593 0.04419 0.0002276233 -7.06161 73.012 0.002414 830.995 298.669 0.00005613618 0.00025900100 0.0000589656 0.0001015697 227051.462 218579.914 219268.529 3.33988 -21.67357 0.05218 0.0002268833 -7.22723 74.010 0.002447 831.455 299.019 0.00005575446 0.00025909101 0.0000584835 0.0001013078 227492.148 219477.500 219948.586 3.36074 -21.86524 0.06050 0.0002261393 -7.39411 75.008 0.002480 831.936 299.370 0.00005537951 0.00025916139 0.0000580061 0.0001010375 227953.995 220382.744 220658.605 3.38015 -22.05054 0.06918 0.0002253916 -7.56222 76.006 0.002513 832.440 299.722 0.00005501173 0.00025920980 0.0000575334 0.0001007590 228438.863 221292.960 221403.133 3.39799 -22.22893 0.07829 0.0002246405 -7.73155 77.004 0.002546 832.970 300.071 0.00005465166 0.00025922987 0.0000570656 0.0001004723 228949.612 222200.585 222195.748 3.41392 -22.39909 0.08799 0.0002238860 -7.90205 78.002 0.002579 833.533 300.416 0.00005430041 0.00025921458 0.0000566030 0.0001001775 229492.569 223097.133 223050.230 3.42754 -22.55938 0.09844 0.0002231285 -8.07371 79.030 0.002613 834.147 300.776 0.00005394788 0.00025918585 0.0000561317 0.0000998654 230086.363 224038.068 223939.053 3.44035 -22.71805 0.10934 0.0002223451 -8.25173 80.028 0.002646 834.773 301.132 0.00005361421 0.00025914694 0.0000556797 0.0000995544 230692.418 224970.091 224807.608 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0.009722 878.535 308.335 0.00011297890 0.00017824657 0.0001031690 0.0000624746 276114.302 252476.889 275012.261 2.99734 17.90655 5.20137 0.0002319917 -4.17309 295.004 0.009755 877.469 307.759 0.00011284515 0.00017893634 0.0001033611 0.0000629885 274940.866 250917.112 273716.046 3.03090 17.73151 5.18551 0.0002326977 -3.99072 296.002 0.009788 876.411 307.191 0.00011270359 0.00017963046 0.0001035442 0.0000635057 273779.862 249377.851 272427.919 3.06479 17.55213 5.16975 0.0002333980 -3.81102 297.000 0.009821 875.361 306.630 0.00011255429 0.00018032869 0.0001037183 0.0000640260 272631.379 247859.259 271148.219 3.09902 17.36850 5.15410 0.0002340923 -3.63402 298.028 0.009855 874.288 306.059 0.00011239248 0.00018105215 0.0001038881 0.0000645651 271461.278 246316.418 269838.895 3.13465 17.17493 5.13808 0.0002348013 -3.45450 299.026 0.009888 873.256 305.513 0.00011222775 0.00018175805 0.0001040437 0.0000650912 270338.467 244840.212 268577.280 3.16958 16.98288 5.12265 0.0002354830 -3.28306 300.024 0.009921 872.232 304.974 0.00011205555 0.00018246742 0.0001041901 0.0000656200 269228.410 243385.057 267325.024 3.20486 16.78681 5.10733 0.0002361581 -3.11439 301.022 0.009954 871.217 304.442 0.00011187595 0.00018318005 0.0001043272 0.0000661512 268131.173 241951.049 266082.407 3.24049 16.58677 5.09213 0.0002368264 -2.94854 302.020 0.009987 870.211 303.918 0.00011168905 0.00018389573 0.0001044551 0.0000666847 267046.814 240538.272 264849.695 3.27648 16.38285 5.07705 0.0002374878 -2.78551 303.018 0.010020 869.214 303.402 0.00011149493 0.00018461428 0.0001045737 0.0000672204 265975.386 239146.795 263627.142 3.31283 16.17511 5.06209 0.0002381421 -2.62534 304.016 0.010053 868.227 302.893 0.00011129367 0.00018533549 0.0001046829 0.0000677580 264916.937 237776.675 262414.993 3.34955 15.96362 5.04726 0.0002387889 -2.46804 305.014 0.010086 867.248 302.392 0.00011108537 0.00018605920 0.0001047827 0.0000682975 263871.511 236427.956 261213.478 3.38663 15.74846 5.03257 0.0002394282 -2.31363 306.012 0.010119 866.280 301.899 0.00011087009 0.00018678522 0.0001048732 0.0000688386 262839.144 235100.670 260022.817 3.42407 15.52970 5.01800 0.0002400598 -2.16214 307.009 0.010152 865.321 301.414 0.00011064794 0.00018751336 0.0001049542 0.0000693812 261819.870 233794.840 258843.222 3.46189 15.30739 5.00357 0.0002406834 -2.01357 308.007 0.010185 864.371 300.936 0.00011041900 0.00018824347 0.0001050257 0.0000699252 260813.716 232510.477 257674.892 3.50008 15.08162 4.98928 0.0002412989 -1.86796 309.005 0.010218 863.432 300.466 0.00011018334 0.00018897538 0.0001050877 0.0000704703 259820.706 231247.581 256518.019 3.53865 14.85244 4.97513 0.0002419060 -1.72531 310.003 0.010251 862.502 300.005 0.00010994107 0.00018970891 0.0001051403 0.0000710164 258840.859 230006.144 255372.782 3.57759 14.61993 4.96112 0.0002425047 -1.58563 311.001 0.010284 861.582 299.551 0.00010969225 0.00019044392 0.0001051833 0.0000715633 257874.189 228786.149 254239.356 3.61690 14.38414 4.94725 0.0002430947 -1.44895 312.029 0.010318 860.646 299.092 0.00010942915 0.00019120257 0.0001052177 0.0000721275 256892.020 227551.583 253084.107 3.65781 14.13786 4.93312 0.0002436932 -1.31127 313.027 0.010351 859.747 298.655 0.00010916733 0.00019194010 0.0001052413 0.0000726756 255952.133 226375.033 251975.152 3.69789 13.89563 4.91955 0.0002442650 -1.18070 314.025 0.010384 858.858 298.226 0.00010889922 0.00019267863 0.0001052554 0.0000732241 255025.445 225219.823 250878.476 3.73835 13.65033 4.90614 0.0002448276 -1.05315 315.023 0.010417 857.980 297.805 0.00010862492 0.00019341803 0.0001052600 0.0000737727 254111.953 224085.905 249794.220 3.77919 13.40201 4.89287 0.0002453807 -0.92865 316.021 0.010450 857.112 297.391 0.00010834451 0.00019415816 0.0001052550 0.0000743213 253211.653 222973.223 248722.513 3.82040 13.15075 4.87976 0.0002459243 -0.80718 317.019 0.010483 856.255 296.986 0.00010805808 0.00019489887 0.0001052404 0.0000748697 252324.539 221881.718 247663.481 3.86199 12.89659 4.86681 0.0002464582 -0.68877 318.017 0.010516 855.408 296.590 0.00010776570 0.00019564004 0.0001052163 0.0000754178 251450.599 220811.324 246617.241 3.90396 12.63960 4.85401 0.0002469822 -0.57342 319.015 0.010549 854.572 296.201 0.00010746747 0.00019638153 0.0001051827 0.0000759654 250589.818 219761.970 245583.903 3.94631 12.37985 4.84137 0.0002474962 -0.46114 320.013 0.010582 853.747 295.820 0.00010716346 0.00019712322 0.0001051395 0.0000765124 249742.180 218733.580 244563.571 3.98902 12.11739 4.82889 0.0002479999 -0.35193 321.011 0.010615 852.933 295.447 0.00010685377 0.00019786497 0.0001050868 0.0000770585 248907.665 217726.075 243556.342 4.03211 11.85229 4.81656 0.0002484933 -0.24579 322.008 0.010648 852.129 295.083 0.00010653847 0.00019860667 0.0001050246 0.0000776035 248086.250 216739.370 242562.308 4.07557 11.58459 4.80440 0.0002489762 -0.14274 323.006 0.010681 851.337 294.726 0.00010621764 0.00019934819 0.0001049529 0.0000781475 247277.909 215773.380 241581.554 4.11940 11.31437 4.79241 0.0002494484 -0.04276 324.004 0.010714 850.555 294.378 0.00010589138 0.00020008943 0.0001048718 0.0000786901 246482.615 214828.014 240614.161 4.16359 11.04167 4.78057 0.0002499099 0.05413 325.002 0.010747 849.785 294.037 0.00010555977 0.00020083025 0.0001047812 0.0000792312 245700.337 213903.179 239660.202 4.20815 10.76655 4.76890 0.0002503604 0.14793 326.000 0.010780 849.025 293.705 0.00010522288 0.00020157056 0.0001046812 0.0000797706 244931.042 212998.780 238719.747 4.25306 10.48908 4.75740 0.0002507999 0.23864 327.028 0.010814 848.254 293.371 0.00010487035 0.00020233264 0.0001045684 0.0000803245 244151.978 212088.248 237764.984 4.29971 10.20079 4.74572 0.0002512409 0.32888 328.026 0.010847 847.518 293.055 0.00010452300 0.00020307155 0.0001044494 0.0000808600 243408.934 211225.040 236852.138 4.34535 9.91870 4.73455 0.0002516575 0.41332 329.024 0.010880 846.792 292.746 0.00010417064 0.00020380963 0.0001043211 0.0000813935 242678.761 210381.968 235952.974 4.39133 9.63442 4.72355 0.0002520626 0.49468 330.022 0.010913 846.077 292.446 0.00010381332 0.00020454675 0.0001041835 0.0000819246 241961.418 209558.931 235067.543 4.43766 9.34800 4.71272 0.0002524561 0.57295 331.020 0.010946 845.374 292.154 0.00010345115 0.00020528282 0.0001040367 0.0000824532 241256.861 208755.825 234195.891 4.48434 9.05951 4.70206 0.0002528379 0.64815 332.018 0.010979 844.682 291.869 0.00010308420 0.00020601775 0.0001038807 0.0000829792 240565.047 207972.547 233338.059 4.53134 8.76898 4.69156 0.0002532079 0.72026 333.016 0.011012 844.002 291.593 0.00010271255 0.00020675143 0.0001037156 0.0000835024 239885.927 207208.993 232494.084 4.57868 8.47649 4.68124 0.0002535659 0.78930 334.014 0.011045 843.333 291.324 0.00010233628 0.00020748377 0.0001035414 0.0000840226 239219.455 206465.059 231664.001 4.62635 8.18207 4.67108 0.0002539120 0.85527 335.012 0.011078 842.675 291.063 0.00010195547 0.00020821468 0.0001033581 0.0000845397 238565.579 205740.639 230847.839 4.67434 7.88578 4.66110 0.0002542458 0.91816 336.010 0.011111 842.028 290.810 0.00010157020 0.00020894406 0.0001031659 0.0000850536 237924.249 205035.630 230045.624 4.72264 7.58768 4.65129 0.0002545674 0.97800 337.008 0.011144 841.393 290.565 0.00010118056 0.00020967183 0.0001029647 0.0000855640 237295.413 204349.928 229257.381 4.77126 7.28781 4.64164 0.0002548767 1.03478 338.005 0.011177 840.769 290.328 0.00010078661 0.00021039790 0.0001027547 0.0000860708 236679.015 203683.428 228483.129 4.82018 6.98623 4.63217 0.0002551736 1.08851 339.003 0.011210 840.157 290.098 0.00010038845 0.00021112217 0.0001025359 0.0000865739 236075.001 203036.027 227722.885 4.86940 6.68299 4.62287 0.0002554579 1.13920 340.001 0.011243 839.556 289.876 0.00009998615 0.00021184457 0.0001023084 0.0000870731 235483.313 202407.624 226976.664 4.91891 6.37814 4.61374 0.0002557295 1.18685 341.029 0.011277 838.949 289.655 0.00009956742 0.00021258680 0.0001020649 0.0000875833 234886.528 201779.941 226222.509 4.97022 6.06241 4.60452 0.0002559962 1.23278 342.027 0.011310 838.371 289.448 0.00009915696 0.00021330513 0.0001018199 0.0000880741 234319.689 201189.797 225504.791 5.02030 5.75445 4.59574 0.0002562420 1.27428 343.025 0.011343 837.804 289.249 0.00009874260 0.00021402133 0.0001015663 0.0000885607 233764.998 200618.347 224801.123 5.07066 5.44502 4.58713 0.0002564750 1.31278 344.023 0.011376 837.249 289.058 0.00009832442 0.00021473533 0.0001013043 0.0000890427 233222.395 200065.492 224111.508 5.12128 5.13419 4.57869 0.0002566950 1.34827 345.021 0.011409 836.706 288.874 0.00009790250 0.00021544704 0.0001010340 0.0000895201 232691.817 199531.136 223435.950 5.17215 4.82199 4.57043 0.0002569021 1.38077 346.019 0.011442 836.174 288.698 0.00009747692 0.00021615637 0.0001007554 0.0000899927 232173.202 199015.184 222774.448 5.22328 4.50849 4.56234 0.0002570961 1.41028 347.017 0.011475 835.653 288.529 0.00009704775 0.00021686327 0.0001004686 0.0000904604 231666.486 198517.542 222126.999 5.27465 4.19373 4.55442 0.0002572770 1.43682 348.015 0.011508 835.144 288.368 0.00009661508 0.00021756764 0.0001001736 0.0000909230 231171.605 198038.119 221493.601 5.32625 3.87775 4.54667 0.0002574447 1.46039 349.013 0.011541 834.646 288.214 0.00009617898 0.00021826942 0.0000998707 0.0000913804 230688.492 197576.824 220874.247 5.37808 3.56061 4.53909 0.0002575992 1.48101 350.011 0.011574 834.159 288.067 0.00009573953 0.00021896853 0.0000995599 0.0000918325 230217.084 197133.570 220268.931 5.43013 3.24236 4.53169 0.0002577404 1.49868 351.009 0.011607 833.683 287.928 0.00009529681 0.00021966489 0.0000992412 0.0000922791 229757.312 196708.270 219677.645 5.48238 2.92304 4.52445 0.0002578683 1.51343 352.007 0.011640 833.219 287.796 0.00009485089 0.00022035842 0.0000989148 0.0000927201 229309.110 196300.840 219100.378 5.53484 2.60271 4.51739 0.0002579829 1.52525 353.004 0.011673 832.767 287.671 0.00009440187 0.00022104906 0.0000985808 0.0000931553 228872.411 195911.197 218537.120 5.58748 2.28141 4.51050 0.0002580841 1.53417 354.002 0.011706 832.325 287.554 0.00009394980 0.00022173674 0.0000982392 0.0000935846 228447.146 195539.262 217987.858 5.64031 1.95918 4.50378 0.0002581719 1.54019 355.000 0.011739 831.895 287.444 0.00009349478 0.00022242137 0.0000978903 0.0000940080 228033.248 195184.955 217452.580 5.69331 1.63608 4.49723 0.0002582463 1.54333 356.028 0.011773 831.463 287.338 0.00009302296 0.00022312349 0.0000975230 0.0000944377 227618.621 194838.270 216915.693 5.74809 1.30234 4.49067 0.0002583088 1.54356 357.026 0.011806 831.056 287.242 0.00009256218 0.00022380173 0.0000971593 0.0000948484 227227.586 194519.524 216408.762 5.80141 0.97762 4.48447 0.0002583558 1.54088 358.024 0.011839 830.659 287.154 0.00009209868 0.00022447670 0.0000967885 0.0000952528 226847.708 194218.183 215915.771 5.85487 0.65217 4.47844 0.0002583893 1.53536 359.022 0.011872 830.274 287.072 0.00009163253 0.00022514835 0.0000964107 0.0000956506 226478.916 193934.179 215436.702 5.90847 0.32605 4.47257 0.0002584093 1.52702 360.020 0.011905 829.900 286.998 0.00009116383 0.00022581658 0.0000960260 0.0000960417 226121.140 193667.442 214971.540 5.96219 -0.00070 4.46688 0.0002584157 1.51586 Engine speed (Hz) = 84.0000000000 Output power (W) = 127.2999415995 Heat into heater (W) = 500.8237347211 Heat to regenerator (W) = -0.0589070491 Heat removal from cooler (W) = 375.2182687283 Approximate Pumping loss (W) = -341.3514380915 Thermal efficiency (%) = 25.4181127559 The average engine pressure (Pa) = 275752.7504651176 The exp space work per cycle (J) = 5.9708245068 The comp space work per cycle (J) = -4.4553490115 The net work per cycle (J) = 1.5154754952 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.4429212933 The expansion work for Vmin-to-Vmax (J) = 24.9583967886 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.023 0.000001 830.832 287.054 0.00009126427 0.00022559203 0.0000960247 0.0000960430 226627.674 193509.884 215260.885 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.003 0.000033 830.479 286.988 0.00009080244 0.00022624418 0.0000956407 0.0000964202 226290.089 193265.582 214817.193 0.05236 -0.32093 -0.00543 0.0002584089 -0.01394 2.012 0.000066 830.126 286.927 0.00009032372 0.00022691318 0.0000952379 0.0000968023 225952.862 193030.971 214373.594 0.10645 -0.65244 -0.01085 0.0002583883 -0.03112 3.022 0.000099 829.784 286.873 0.00008984259 0.00022757853 0.0000948285 0.0000971772 225626.635 192813.889 213944.151 0.16064 -0.98448 -0.01611 0.0002583538 -0.05114 4.001 0.000131 829.463 286.828 0.00008937382 0.00022822014 0.0000944253 0.0000975339 225320.729 192620.070 213541.223 0.21327 -1.30690 -0.02104 0.0002583071 -0.07326 5.011 0.000164 829.143 286.788 0.00008888817 0.00022887806 0.0000940031 0.0000978944 225015.951 192437.343 213139.609 0.26761 -1.63981 -0.02595 0.0002582455 -0.09883 6.021 0.000197 828.834 286.755 0.00008840036 0.00022953210 0.0000935746 0.0000982474 224721.953 192271.974 212752.098 0.32201 -1.97309 -0.03069 0.0002581700 -0.12720 7.000 0.000229 828.545 286.731 0.00008792533 0.00023016255 0.0000931532 0.0000985824 224447.088 192128.144 212389.779 0.37480 -2.29658 -0.03512 0.0002580837 -0.15735 8.010 0.000262 828.257 286.712 0.00008743349 0.00023080872 0.0000927128 0.0000989203 224174.104 191996.813 212029.993 0.42929 -2.63043 -0.03952 0.0002579811 -0.19117 9.020 0.000295 827.980 286.700 0.00008693974 0.00023145079 0.0000922664 0.0000992505 223911.679 191882.692 211684.256 0.48380 -2.96451 -0.04375 0.0002578649 -0.22773 10.030 0.000328 827.715 286.695 0.00008644414 0.00023208867 0.0000918143 0.0000995726 223659.739 191785.733 211352.552 0.53832 -3.29874 -0.04781 0.0002577350 -0.26702 11.009 0.000360 827.467 286.697 0.00008596190 0.00023270314 0.0000913705 0.0000998774 223425.380 191708.063 211044.287 0.59119 -3.62296 -0.05158 0.0002575960 -0.30770 12.019 0.000393 827.223 286.706 0.00008546294 0.00023333255 0.0000909075 0.0001001837 223193.881 191644.785 210740.178 0.64570 -3.95737 -0.05530 0.0002574392 -0.35230 13.028 0.000426 826.989 286.722 0.00008496240 0.00023395754 0.0000904392 0.0001004818 222972.654 191598.550 210450.056 0.70019 -4.29178 -0.05885 0.0002572690 -0.39958 14.008 0.000458 826.772 286.744 0.00008447561 0.00023455928 0.0000899801 0.0001007629 222767.872 191569.955 210182.070 0.75299 -4.61602 -0.06213 0.0002570910 -0.44796 15.017 0.000491 826.559 286.773 0.00008397222 0.00023517532 0.0000895017 0.0001010446 222566.669 191557.181 209919.459 0.80740 -4.95029 -0.06534 0.0002568943 -0.50045 16.027 0.000524 826.356 286.809 0.00008346751 0.00023578670 0.0000890184 0.0001013178 222375.529 191561.346 209670.796 0.86174 -5.28440 -0.06838 0.0002566842 -0.55556 17.006 0.000556 826.170 286.850 0.00008297693 0.00023637501 0.0000885452 0.0001015745 222199.726 191581.535 209442.980 0.91436 -5.60820 -0.07117 0.0002564677 -0.61149 18.016 0.000589 825.988 286.899 0.00008246988 0.00023697694 0.0000880527 0.0001018308 222028.209 191618.981 209221.762 0.96854 -5.94185 -0.07388 0.0002562315 -0.67170 19.026 0.000622 825.816 286.955 0.00008196179 0.00023757396 0.0000875558 0.0001020783 221866.555 191673.284 209014.464 1.02262 -6.27518 -0.07641 0.0002559821 -0.73448 20.005 0.000654 825.660 287.016 0.00008146817 0.00023814810 0.0000870699 0.0001023099 221719.161 191742.018 208826.736 1.07495 -6.59806 -0.07871 0.0002557278 -0.79778 21.015 0.000687 825.508 287.085 0.00008095828 0.00023873517 0.0000865646 0.0001025400 221576.751 191829.457 208646.839 1.12878 -6.93059 -0.08091 0.0002554527 -0.86555 22.025 0.000720 825.367 287.161 0.00008044760 0.00023931704 0.0000860554 0.0001027612 221444.019 191933.688 208480.848 1.18247 -7.26264 -0.08294 0.0002551647 -0.93583 23.004 0.000752 825.240 287.240 0.00007995175 0.00023987625 0.0000855580 0.0001029671 221324.497 192050.779 208333.166 1.23439 -7.58410 -0.08475 0.0002548732 -1.00634 24.014 0.000785 825.119 287.329 0.00007943982 0.00024044763 0.0000850415 0.0001031705 221210.658 192188.033 208194.562 1.28775 -7.91501 -0.08644 0.0002545600 -1.08150 25.024 0.000818 825.008 287.424 0.00007892740 0.00024101354 0.0000845214 0.0001033648 221106.328 192342.030 208069.865 1.34094 -8.24525 -0.08797 0.0002542342 -1.15909 26.003 0.000850 824.910 287.523 0.00007843012 0.00024155699 0.0000840139 0.0001035443 221014.192 192507.336 207962.233 1.39231 -8.56479 -0.08929 0.0002539063 -1.23665 27.013 0.000883 824.819 287.631 0.00007791701 0.00024211183 0.0000834874 0.0001037204 220928.441 192694.272 207864.945 1.44508 -8.89354 -0.09048 0.0002535559 -1.31901 28.022 0.000916 824.737 287.745 0.00007740369 0.00024266091 0.0000829579 0.0001038872 220852.050 192897.915 207781.585 1.49762 -9.22144 -0.09149 0.0002531931 -1.40375 29.002 0.000948 824.668 287.862 0.00007690583 0.00024318773 0.0000824417 0.0001040400 220786.873 193111.332 207714.064 1.54834 -9.53852 -0.09232 0.0002528297 -1.48818 30.011 0.000981 824.606 287.989 0.00007639241 0.00024372513 0.0000819067 0.0001041883 220728.794 193347.854 207658.178 1.60038 -9.86455 -0.09300 0.0002524430 -1.57756 31.021 0.001014 824.554 288.122 0.00007587908 0.00024425643 0.0000813692 0.0001043271 220679.955 193601.057 207616.264 1.65214 -10.18954 -0.09352 0.0002520444 -1.66926 32.000 0.001046 824.513 288.258 0.00007538151 0.00024476571 0.0000808457 0.0001044527 220641.386 193862.511 207588.985 1.70206 -10.50362 -0.09385 0.0002516464 -1.76037 33.010 0.001079 824.480 288.404 0.00007486868 0.00024528469 0.0000803037 0.0001045728 220610.650 194148.552 207574.660 1.75323 -10.82635 -0.09403 0.0002512245 -1.85659 34.020 0.001112 824.457 288.556 0.00007435626 0.00024579722 0.0000797597 0.0001046834 220589.063 194451.255 207574.382 1.80408 -11.14784 -0.09403 0.0002507910 -1.95506 35.030 0.001145 824.443 288.714 0.00007384436 0.00024630320 0.0000792137 0.0001047843 220576.606 194770.615 207588.182 1.85459 -11.46802 -0.09386 0.0002503461 -2.05577 36.009 0.001177 824.440 288.873 0.00007334857 0.00024678747 0.0000786828 0.0001048730 220573.229 195096.201 207615.042 1.90323 -11.77717 -0.09353 0.0002499037 -2.15554 37.019 0.001210 824.445 289.044 0.00007283802 0.00024728017 0.0000781337 0.0001049549 220578.710 195448.357 207656.682 1.95302 -12.09455 -0.09302 0.0002494366 -2.26059 38.029 0.001243 824.461 289.220 0.00007232831 0.00024776592 0.0000775832 0.0001050271 220593.287 195817.154 207712.519 2.00241 -12.41039 -0.09234 0.0002489584 -2.36781 39.008 0.001275 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0.009609 878.999 308.384 0.00011300175 0.00017814400 0.0001031733 0.0000624859 276304.625 252326.062 275198.094 2.97570 17.85131 5.22642 0.0002320073 -4.22899 295.007 0.009641 877.957 307.817 0.00011287181 0.00017881838 0.0001033617 0.0000629902 275157.303 250792.304 273928.898 3.00845 17.68055 5.21089 0.0002327000 -4.05009 296.017 0.009674 876.891 307.241 0.00011272994 0.00017951823 0.0001035469 0.0000635136 273986.696 249231.428 272628.118 3.04256 17.50009 5.19498 0.0002334085 -3.86830 297.027 0.009707 875.833 306.671 0.00011258017 0.00018022231 0.0001037229 0.0000640401 272828.941 247691.840 271335.890 3.07701 17.31528 5.17917 0.0002341110 -3.68927 298.006 0.009739 874.815 306.126 0.00011242747 0.00018090888 0.0001038846 0.0000645536 271718.623 246219.372 270091.303 3.11074 17.13198 5.16395 0.0002347862 -3.51833 299.016 0.009772 873.774 305.572 0.00011226239 0.00018162064 0.0001040422 0.0000650859 270586.421 244722.118 268816.884 3.14587 16.93881 5.14836 0.0002354761 -3.34484 300.026 0.009805 872.742 305.025 0.00011208966 0.00018233597 0.0001041903 0.0000656209 269467.302 243246.531 267551.967 3.18136 16.74151 5.13288 0.0002361593 -3.17419 301.005 0.009837 871.751 304.501 0.00011191494 0.00018303283 0.0001043250 0.0000661422 268394.651 241836.443 266334.732 3.21611 16.54632 5.11799 0.0002368152 -3.01146 302.015 0.009870 870.737 303.969 0.00011172740 0.00018375457 0.0001044545 0.0000666820 267301.485 240403.805 265089.371 3.25230 16.34111 5.10276 0.0002374845 -2.84651 303.025 0.009903 869.732 303.445 0.00011153248 0.00018447927 0.0001045745 0.0000672240 266221.579 238993.081 263854.339 3.28886 16.13199 5.08765 0.0002381465 -2.68447 304.004 0.009935 868.768 302.945 0.00011133649 0.00018518465 0.0001046817 0.0000677516 265187.104 237646.089 262666.834 3.32465 15.92554 5.07312 0.0002387813 -2.53017 305.014 0.009968 867.782 302.436 0.00011112727 0.00018591461 0.0001047827 0.0000682975 264133.448 236278.684 261452.874 3.36194 15.70893 5.05827 0.0002394282 -2.37396 306.023 0.010001 866.806 301.936 0.00011091092 0.00018664695 0.0001048742 0.0000688451 263093.177 234933.325 260249.958 3.39959 15.48863 5.04356 0.0002400673 -2.22073 307.003 0.010033 865.869 301.458 0.00011069441 0.00018735922 0.0001049536 0.0000693775 262097.244 233649.807 259094.250 3.43646 15.27154 5.02942 0.0002406792 -2.07502 308.012 0.010066 864.913 300.974 0.00011046428 0.00018809575 0.0001050260 0.0000699279 261083.428 232347.920 257913.720 3.47485 15.04417 5.01498 0.0002413020 -1.92774 309.022 0.010099 863.967 300.497 0.00011022728 0.00018883414 0.0001050887 0.0000704795 260083.079 231068.106 256744.855 3.51362 14.81330 5.00068 0.0002419163 -1.78349 310.001 0.010131 863.059 300.043 0.00010999099 0.00018955178 0.0001051402 0.0000710154 259125.923 229848.145 255622.729 3.55158 14.58617 4.98695 0.0002425036 -1.64653 311.011 0.010164 862.133 299.583 0.00010974072 0.00019029335 0.0001051837 0.0000715688 258152.149 228611.769 254477.383 3.59110 14.34863 4.97294 0.0002431006 -1.50830 312.021 0.010197 861.218 299.131 0.00010948384 0.00019103630 0.0001052174 0.0000721230 257191.884 227397.408 253344.235 3.63100 14.10781 4.95908 0.0002436884 -1.37316 313.000 0.010229 860.340 298.701 0.00010922852 0.00019175790 0.0001052408 0.0000726608 256273.623 226240.834 252257.228 3.67005 13.87121 4.94578 0.0002442496 -1.24507 314.010 0.010262 859.445 298.265 0.00010895888 0.00019250311 0.0001052553 0.0000732158 255339.977 225069.720 251148.571 3.71071 13.62410 4.93222 0.0002448191 -1.11603 315.020 0.010295 858.561 297.837 0.00010868290 0.00019324923 0.0001052600 0.0000737709 254419.844 223920.488 250052.568 3.75174 13.37390 4.91881 0.0002453789 -0.99010 316.030 0.010328 857.688 297.418 0.00010840065 0.00019399613 0.0001052549 0.0000743261 253513.219 222793.081 248969.356 3.79316 13.12067 4.90556 0.0002459290 -0.86729 317.009 0.010360 856.851 297.020 0.00010812106 0.00019472100 0.0001052406 0.0000748642 252646.958 221720.619 247931.306 3.83368 12.87228 4.89286 0.0002464529 -0.75120 318.019 0.010393 855.999 296.617 0.00010782673 0.00019546902 0.0001052163 0.0000754188 251766.907 220636.006 246873.660 3.87585 12.61327 4.87992 0.0002469831 -0.63457 319.028 0.010426 855.158 296.223 0.00010752640 0.00019621739 0.0001051822 0.0000759729 250900.327 219573.011 245829.169 3.91840 12.35142 4.86715 0.0002475031 -0.52108 320.008 0.010458 854.353 295.848 0.00010722951 0.00019694331 0.0001051398 0.0000765096 250072.852 218562.796 244828.994 3.96001 12.09484 4.85491 0.0002479974 -0.41403 321.017 0.010491 853.534 295.470 0.00010691761 0.00019769201 0.0001050864 0.0000770622 249232.745 217542.141 243810.723 4.00330 11.82757 4.84245 0.0002484966 -0.30675 322.027 0.010524 852.725 295.101 0.00010659995 0.00019844069 0.0001050234 0.0000776138 248406.043 216542.854 242805.910 4.04697 11.55764 4.83016 0.0002489852 -0.20262 323.006 0.010556 851.952 294.750 0.00010628651 0.00019916654 0.0001049529 0.0000781475 247617.168 215594.168 241844.481 4.08966 11.29340 4.81840 0.0002494484 -0.10467 324.016 0.010589 851.166 294.396 0.00010595778 0.00019991482 0.0001048708 0.0000786965 246816.786 214636.697 240866.430 4.13406 11.01841 4.80644 0.0002499153 -0.00677 325.026 0.010622 850.392 294.051 0.00010562355 0.00020066271 0.0001047790 0.0000792440 246029.720 213700.313 239902.085 4.17882 10.74092 4.79464 0.0002503710 0.08796 326.005 0.010654 849.651 293.725 0.00010529428 0.00020138746 0.0001046807 0.0000797733 245279.187 212812.346 238980.120 4.22257 10.46953 4.78336 0.0002508020 0.17680 327.015 0.010687 848.899 293.396 0.00010494947 0.00020213426 0.0001045699 0.0000803173 244518.243 211917.200 238042.977 4.26805 10.18733 4.77190 0.0002512353 0.26530 328.025 0.010720 848.158 293.075 0.00010459942 0.00020288034 0.0001044496 0.0000808593 243770.503 211042.838 237119.739 4.31389 9.90281 4.76060 0.0002516569 0.35063 329.004 0.010752 847.450 292.772 0.00010425505 0.00020360303 0.0001043238 0.0000813827 243057.993 210214.719 236237.811 4.35867 9.62475 4.74981 0.0002520545 0.43036 330.014 0.010785 846.732 292.467 0.00010389492 0.00020434737 0.0001041847 0.0000819202 242336.139 209380.983 235342.125 4.40520 9.33585 4.73886 0.0002524529 0.50946 331.024 0.010818 846.025 292.171 0.00010352978 0.00020509069 0.0001040362 0.0000824551 241627.358 208567.713 234460.500 4.45207 9.04479 4.72807 0.0002528393 0.58540 332.003 0.010850 845.351 291.891 0.00010317102 0.00020581039 0.0001038831 0.0000829712 240952.496 207798.530 233619.061 4.49785 8.76056 4.71778 0.0002532024 0.65603 333.013 0.010883 844.666 291.611 0.00010279630 0.00020655136 0.0001037161 0.0000835007 240269.327 207025.255 232765.257 4.54539 8.46544 4.70733 0.0002535648 0.72575 334.022 0.010916 843.994 291.338 0.00010241682 0.00020729100 0.0001035398 0.0000840271 239599.086 206272.121 231925.632 4.59326 8.16834 4.69706 0.0002539149 0.79233 335.002 0.010948 843.353 291.082 0.00010204438 0.00020800687 0.0001033600 0.0000845345 238961.451 205560.943 231125.021 4.63999 7.87840 4.68727 0.0002542425 0.85389 336.011 0.010981 842.703 290.825 0.00010165579 0.00020874360 0.0001031655 0.0000850545 238316.517 204847.166 230313.414 4.68850 7.57755 4.67734 0.0002545680 0.91428 337.021 0.011014 842.065 290.577 0.00010126270 0.00020947873 0.0001029619 0.0000855709 237684.349 204153.206 229516.070 4.73733 7.27488 4.66759 0.0002548809 0.97154 338.000 0.011046 841.458 290.343 0.00010087729 0.00021018994 0.0001027558 0.0000860683 237083.476 203499.100 228756.530 4.78497 6.97969 4.65829 0.0002551721 1.02407 339.010 0.011079 840.843 290.110 0.00010047556 0.00021092162 0.0001025344 0.0000865774 236476.286 202843.860 227987.341 4.83439 6.67358 4.64889 0.0002554598 1.07518 340.020 0.011112 840.239 289.885 0.00010006957 0.00021165142 0.0001023040 0.0000870825 235881.687 202208.119 227232.469 4.88412 6.36580 4.63965 0.0002557345 1.12317 341.030 0.011145 839.648 289.668 0.00009965940 0.00021237925 0.0001020648 0.0000875834 235299.620 201591.771 226491.928 4.93413 6.05641 4.63059 0.0002559963 1.16805 342.009 0.011177 839.085 289.465 0.00009925775 0.00021308306 0.0001018244 0.0000880651 234747.100 201012.521 225787.522 4.98290 5.75490 4.62197 0.0002562376 1.20862 343.019 0.011210 838.516 289.263 0.00009883959 0.00021380677 0.0001015680 0.0000885575 234189.532 200434.065 225075.234 5.03346 5.44249 4.61326 0.0002564735 1.24741 344.029 0.011243 837.959 289.070 0.00009841748 0.00021452826 0.0001013029 0.0000890453 233644.307 199874.695 224377.297 5.08429 5.12860 4.60472 0.0002566962 1.28313 345.008 0.011275 837.430 288.889 0.00009800449 0.00021522569 0.0001010376 0.0000895137 233127.330 199350.406 223714.220 5.13383 4.82289 4.59661 0.0002568994 1.31483 346.018 0.011308 836.896 288.710 0.00009757486 0.00021594257 0.0001007558 0.0000899920 232606.224 198828.336 223044.559 5.18517 4.50628 4.58842 0.0002570958 1.34450 347.027 0.011341 836.373 288.539 0.00009714154 0.00021665699 0.0001004655 0.0000904653 232097.263 198325.056 222389.251 5.23676 4.18835 4.58040 0.0002572788 1.37113 348.007 0.011373 835.878 288.381 0.00009671789 0.00021734734 0.0001001761 0.0000909192 231615.260 197854.882 221767.506 5.28701 3.87886 4.57280 0.0002574433 1.39404 349.016 0.011406 835.378 288.225 0.00009627752 0.00021805669 0.0000998696 0.0000913821 231130.023 197388.337 221140.459 5.33905 3.55850 4.56513 0.0002575997 1.41469 350.026 0.011439 834.890 288.076 0.00009583369 0.00021876334 0.0000995550 0.0000918395 230656.726 196940.305 220527.750 5.39132 3.23698 4.55763 0.0002577425 1.43233 351.005 0.011471 834.427 287.940 0.00009540008 0.00021944594 0.0000992423 0.0000922777 230209.109 196523.444 219947.294 5.44221 2.92414 4.55053 0.0002578680 1.44656 352.015 0.011504 833.962 287.806 0.00009494967 0.00022014708 0.0000989120 0.0000927239 229759.125 196111.615 219362.802 5.49488 2.60048 4.54338 0.0002579839 1.45828 353.025 0.011537 833.508 287.680 0.00009449604 0.00022084529 0.0000985738 0.0000931642 229320.872 195718.038 218792.619 5.54775 2.27580 4.53641 0.0002580861 1.46703 354.004 0.011569 833.079 287.565 0.00009405316 0.00022151949 0.0000982386 0.0000935854 228907.032 195353.739 218253.368 5.59920 1.96004 4.52981 0.0002581721 1.47267 355.014 0.011602 832.647 287.454 0.00009359343 0.00022221173 0.0000978854 0.0000940137 228491.672 194995.870 217711.334 5.65242 1.63351 4.52318 0.0002582472 1.47558 356.024 0.011635 832.228 287.350 0.00009313071 0.00022290083 0.0000975247 0.0000944358 228087.825 194656.012 217183.570 5.70582 1.30612 4.51672 0.0002583085 1.47555 357.003 0.011667 831.831 287.256 0.00009267925 0.00022356598 0.0000971679 0.0000948389 227707.143 194343.580 216685.413 5.75774 0.98786 4.51063 0.0002583548 1.47273 358.013 0.011700 831.434 287.166 0.00009221090 0.00022424868 0.0000967928 0.0000952481 227325.760 194038.974 216185.712 5.81143 0.65891 4.50451 0.0002583890 1.46694 359.023 0.011733 831.047 287.084 0.00009173982 0.00022492802 0.0000964105 0.0000956507 226955.673 193752.158 215700.235 5.86526 0.32923 4.49858 0.0002584093 1.45826 360.002 0.011765 830.684 287.011 0.00009128047 0.00022558349 0.0000960331 0.0000960346 226607.517 193490.956 215243.037 5.91757 0.00891 4.49298 0.0002584157 1.44708 Engine speed (Hz) = 85.0000000000 Output power (W) = 122.9687988205 Heat into heater (W) = 502.9935766383 Heat to regenerator (W) = 0.7572393654 Heat removal from cooler (W) = 381.9035664795 Approximate Pumping loss (W) = -351.9768397180 Thermal efficiency (%) = 24.4473894960 The average engine pressure (Pa) = 275818.3379401189 The exp space work per cycle (J) = 5.9303390585 The comp space work per cycle (J) = -4.4836473077 The net work per cycle (J) = 1.4466917508 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.4809812647 The expansion work for Vmin-to-Vmax (J) = 24.9276730155 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.017 0.000001 831.615 287.065 0.00009137492 0.00022536708 0.0000960271 0.0000960406 227110.603 193329.132 215527.350 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000033 831.262 286.998 0.00009090819 0.00022602665 0.0000956385 0.0000964223 226772.108 193082.640 215077.779 0.05257 -0.32441 -0.00550 0.0002584088 -0.01435 2.030 0.000066 830.908 286.937 0.00009042433 0.00022670327 0.0000952310 0.0000968088 226434.137 192846.216 214628.415 0.10689 -0.65956 -0.01100 0.0002583878 -0.03204 3.020 0.000098 830.576 286.884 0.00008995274 0.00022735585 0.0000948293 0.0000971766 226117.098 192634.130 214206.474 0.15965 -0.98509 -0.01616 0.0002583539 -0.05197 4.011 0.000130 830.255 286.839 0.00008947887 0.00022800490 0.0000944212 0.0000975374 225810.513 192438.895 213798.110 0.21249 -1.31109 -0.02115 0.0002583066 -0.07462 5.002 0.000162 829.944 286.800 0.00008900279 0.00022865033 0.0000940070 0.0000978911 225514.309 192260.457 213403.306 0.26540 -1.63751 -0.02598 0.0002582461 -0.09997 6.024 0.000195 829.635 286.767 0.00008850961 0.00022931207 0.0000935735 0.0000982483 225219.644 192093.980 213010.347 0.32003 -1.97454 -0.03079 0.0002581698 -0.12894 7.014 0.000227 829.345 286.743 0.00008802931 0.00022994994 0.0000931471 0.0000985872 224944.303 191949.502 212643.033 0.37305 -2.30169 -0.03528 0.0002580823 -0.15975 8.005 0.000259 829.066 286.725 0.00008754703 0.00023058398 0.0000927150 0.0000989187 224679.123 191821.670 212289.227 0.42610 -2.62913 -0.03961 0.0002579817 -0.19321 9.027 0.000292 828.789 286.713 0.00008704772 0.00023123375 0.0000922634 0.0000992527 224416.222 191707.229 211938.495 0.48084 -2.96704 -0.04390 0.0002578640 -0.23049 10.017 0.000324 828.532 286.709 0.00008656170 0.00023185978 0.0000918198 0.0000995688 224171.461 191613.072 211612.077 0.53394 -3.29490 -0.04790 0.0002577366 -0.26931 11.008 0.000356 828.284 286.711 0.00008607396 0.00023248177 0.0000913709 0.0000998772 223936.643 191535.431 211299.118 0.58703 -3.62289 -0.05172 0.0002575961 -0.31073 12.030 0.000389 828.039 286.721 0.00008556926 0.00023311887 0.0000909024 0.0001001870 223704.828 191472.621 210990.461 0.64178 -3.96122 -0.05550 0.0002574374 -0.35617 13.020 0.000421 827.812 286.737 0.00008507827 0.00023373240 0.0000904429 0.0001004795 223489.991 191428.411 210704.797 0.69485 -4.28933 -0.05899 0.0002572704 -0.40284 14.011 0.000453 827.596 286.759 0.00008458580 0.00023434165 0.0000899784 0.0001007640 223284.885 191400.607 210432.549 0.74788 -4.61743 -0.06233 0.0002570904 -0.45208 15.002 0.000485 827.389 286.788 0.00008409195 0.00023494654 0.0000895091 0.0001010403 223089.442 191389.177 210173.705 0.80087 -4.94545 -0.06549 0.0002568974 -0.50385 16.024 0.000518 827.186 286.825 0.00008358128 0.00023556569 0.0000890201 0.0001013168 222897.938 191394.509 209920.797 0.85545 -5.28360 -0.06859 0.0002566850 -0.55988 17.014 0.000550 827.000 286.867 0.00008308485 0.00023616149 0.0000885414 0.0001015766 222721.911 191416.249 209689.144 0.90831 -5.61133 -0.07142 0.0002564659 -0.61676 18.005 0.000582 826.823 286.916 0.00008258729 0.00023675269 0.0000880582 0.0001018280 222555.343 191454.279 209470.862 0.96108 -5.93883 -0.07409 0.0002562342 -0.67613 19.027 0.000615 826.652 286.974 0.00008207307 0.00023735746 0.0000875555 0.0001020785 222393.406 191510.533 209259.754 1.01541 -6.27628 -0.07667 0.0002559819 -0.73993 20.017 0.000647 826.495 287.036 0.00008157345 0.00023793908 0.0000870638 0.0001023128 222245.851 191581.580 209068.608 1.06797 -6.60316 -0.07901 0.0002557245 -0.80430 21.008 0.000679 826.348 287.104 0.00008107295 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300.020 0.009691 873.262 305.080 0.00011212452 0.00018219964 0.0001041895 0.0000656177 269713.972 243120.923 267788.486 3.15801 16.69186 5.15837 0.0002361552 -3.23594 301.010 0.009723 872.263 304.549 0.00011194923 0.00018290229 0.0001043257 0.0000661450 268632.847 241691.348 266559.122 3.19296 16.49545 5.14333 0.0002368188 -3.07133 302.001 0.009755 871.273 304.026 0.00011176674 0.00018360799 0.0001044528 0.0000666747 267564.453 240282.904 265339.373 3.22825 16.29521 5.12841 0.0002374755 -2.90952 303.023 0.009788 870.261 303.494 0.00011157111 0.00018433876 0.0001045743 0.0000672231 266476.057 238852.647 264091.845 3.26500 16.08477 5.11315 0.0002381454 -2.74561 304.014 0.009820 869.289 302.986 0.00011137428 0.00018505010 0.0001046827 0.0000677568 265433.667 237487.310 262892.391 3.30100 15.87696 5.09848 0.0002387875 -2.58954 305.004 0.009852 868.326 302.486 0.00011117051 0.00018576395 0.0001047819 0.0000682924 264404.142 236143.260 261703.281 3.33734 15.66551 5.08393 0.0002394223 -2.43634 306.026 0.009885 867.343 301.978 0.00011095319 0.00018650254 0.0001048744 0.0000688464 263355.952 234779.534 260488.076 3.37519 15.44374 5.06907 0.0002400689 -2.28136 307.017 0.009917 866.400 301.493 0.00011073558 0.00018722094 0.0001049547 0.0000693851 262352.654 233478.798 259320.638 3.41226 15.22513 5.05478 0.0002406879 -2.13402 308.007 0.009949 865.466 301.017 0.00011051127 0.00018794132 0.0001050257 0.0000699252 261362.309 232199.402 258164.174 3.44968 15.00310 5.04064 0.0002412989 -1.98959 309.029 0.009982 864.513 300.533 0.00011027303 0.00018868612 0.0001050891 0.0000704833 260354.601 230902.372 256983.265 3.48864 14.77062 5.02619 0.0002419204 -1.84371 310.020 0.010014 863.600 300.073 0.00011003538 0.00018941003 0.0001051411 0.0000710255 259390.621 229666.302 255849.664 3.52680 14.54182 5.01232 0.0002425146 -1.70525 311.010 0.010046 862.696 299.620 0.00010979129 0.00019013545 0.0001051837 0.0000715685 258439.641 228451.535 254727.581 3.56531 14.30980 4.99860 0.0002431001 -1.56974 312.001 0.010078 861.802 299.175 0.00010954084 0.00019086222 0.0001052169 0.0000721121 257501.668 227258.042 253617.178 3.60419 14.07461 4.98501 0.0002436770 -1.43720 313.023 0.010111 860.891 298.725 0.00010927599 0.00019161296 0.0001052412 0.0000726733 256548.012 226049.494 252484.471 3.64466 13.82881 4.97116 0.0002442625 -1.30363 314.014 0.010143 860.017 298.296 0.00010901286 0.00019234202 0.0001052553 0.0000732178 255636.469 224899.092 251398.258 3.68427 13.58737 4.95787 0.0002448211 -1.17716 315.004 0.010175 859.155 297.876 0.00010874363 0.00019307200 0.0001052600 0.0000737624 254737.935 223769.831 250324.167 3.72425 13.34294 4.94473 0.0002453704 -1.05368 316.026 0.010208 858.275 297.451 0.00010845966 0.00019382560 0.0001052549 0.0000743241 253824.939 222627.363 249229.345 3.76585 13.08781 4.93134 0.0002459270 -0.92949 317.017 0.010240 857.434 297.047 0.00010817825 0.00019455702 0.0001052405 0.0000748686 252952.804 221540.865 248180.272 3.80657 12.83751 4.91850 0.0002464571 -0.81213 318.007 0.010272 856.602 296.650 0.00010789097 0.00019528894 0.0001052166 0.0000754127 252093.647 220475.319 247143.694 3.84764 12.58441 4.90582 0.0002469773 -0.69780 319.029 0.010305 855.756 296.250 0.00010758866 0.00019604414 0.0001051821 0.0000759733 251221.218 219398.342 246087.928 3.89038 12.32052 4.89291 0.0002475035 -0.58306 320.020 0.010337 854.946 295.870 0.00010728971 0.00019677670 0.0001051392 0.0000765163 250388.371 218375.126 245077.064 3.93219 12.06190 4.88054 0.0002480035 -0.47489 321.011 0.010369 854.147 295.499 0.00010698514 0.00019750940 0.0001050868 0.0000770585 249568.445 217372.630 244079.010 3.97435 11.80065 4.86833 0.0002484933 -0.36975 322.001 0.010401 853.359 295.135 0.00010667502 0.00019824210 0.0001050251 0.0000775996 248761.415 216390.768 243093.857 4.01688 11.53683 4.85628 0.0002489727 -0.26766 323.023 0.010434 852.557 294.768 0.00010634949 0.00019899760 0.0001049517 0.0000781565 247942.644 215399.742 242091.520 4.06110 11.26213 4.84402 0.0002494562 -0.16556 324.014 0.010466 851.790 294.421 0.00010602835 0.00019972997 0.0001048710 0.0000786951 247161.723 214459.519 241132.828 4.10434 10.99326 4.83229 0.0002499142 -0.06966 325.004 0.010498 851.035 294.081 0.00010570192 0.00020046200 0.0001047810 0.0000792323 246393.610 213539.656 240187.278 4.14793 10.72199 4.82072 0.0002503614 0.02319 326.026 0.010531 850.267 293.739 0.00010535981 0.00020121645 0.0001046785 0.0000797846 245614.870 212612.269 239226.018 4.19324 10.43978 4.80896 0.0002508111 0.11575 327.017 0.010563 849.534 293.416 0.00010502285 0.00020194747 0.0001045697 0.0000803183 244872.662 211733.462 238307.373 4.23753 10.16380 4.79773 0.0002512360 0.20241 328.008 0.010595 848.811 293.100 0.00010468083 0.00020267784 0.0001044517 0.0000808500 244143.151 210874.719 237402.064 4.28216 9.88557 4.78665 0.0002516498 0.28602 329.029 0.010628 848.078 292.783 0.00010432289 0.00020343023 0.0001043204 0.0000813962 243404.097 210010.046 236482.492 4.32854 9.59637 4.77540 0.0002520646 0.36904 330.020 0.010660 847.378 292.484 0.00010397083 0.00020415894 0.0001041838 0.0000819234 242700.249 209191.742 235604.439 4.37385 9.31376 4.76466 0.0002524552 0.44646 331.011 0.010692 846.689 292.193 0.00010361394 0.00020488669 0.0001040381 0.0000824482 242008.968 208393.193 234739.876 4.41949 9.02908 4.75409 0.0002528344 0.52083 332.001 0.010724 846.011 291.909 0.00010325230 0.00020561339 0.0001038834 0.0000829705 241330.210 207614.293 233888.845 4.46545 8.74236 4.74367 0.0002532018 0.59215 333.023 0.010757 845.324 291.625 0.00010287447 0.00020636158 0.0001037144 0.0000835061 240643.304 206831.524 233025.433 4.51319 8.44463 4.73311 0.0002535685 0.66252 334.014 0.010789 844.669 291.357 0.00010250343 0.00020708584 0.0001035414 0.0000840226 239989.832 206092.217 232202.003 4.55980 8.15396 4.72304 0.0002539120 0.72768 335.004 0.010821 844.025 291.097 0.00010212788 0.00020780876 0.0001033595 0.0000845360 239348.731 205372.245 231392.210 4.60672 7.86141 4.71313 0.0002542435 0.78981 336.026 0.010854 843.372 290.837 0.00010173595 0.00020855277 0.0001031626 0.0000850620 238700.499 204649.913 230571.422 4.65543 7.55782 4.70309 0.0002545727 0.85071 337.017 0.010886 842.751 290.593 0.00010135147 0.00020927270 0.0001029628 0.0000855687 238084.367 203968.893 229789.408 4.70297 7.26163 4.69353 0.0002548796 0.90669 338.008 0.010918 842.141 290.356 0.00010096271 0.00020999103 0.0001027543 0.0000860719 237480.444 203306.892 229021.104 4.75080 6.96373 4.68413 0.0002551742 0.95966 339.029 0.010951 841.523 290.120 0.00010055741 0.00021073004 0.0001025301 0.0000865869 236870.376 202644.016 228243.169 4.80043 6.65476 4.67461 0.0002554651 1.01114 340.020 0.010983 840.936 289.899 0.00010016019 0.00021144485 0.0001023040 0.0000870825 236291.078 202020.333 227502.765 4.84884 6.35351 4.66555 0.0002557345 1.05801 341.011 0.011015 840.360 289.686 0.00009975894 0.00021215781 0.0001020694 0.0000875740 235723.813 201415.362 226776.117 4.89753 6.05068 4.65666 0.0002559914 1.10189 342.001 0.011047 839.795 289.480 0.00009935371 0.00021286884 0.0001018263 0.0000880614 235168.523 200829.002 226063.234 4.94649 5.74634 4.64794 0.0002562358 1.14279 343.023 0.011080 839.224 289.275 0.00009893174 0.00021359997 0.0001015669 0.0000885596 234608.356 200243.707 225342.499 4.99725 5.43094 4.63913 0.0002564745 1.18184 344.014 0.011112 838.682 289.085 0.00009851868 0.00021430682 0.0001013068 0.0000890382 234077.198 199694.850 224657.598 5.04674 5.12365 4.63075 0.0002566930 1.21669 345.005 0.011144 838.151 288.902 0.00009810188 0.00021501150 0.0001010385 0.0000895122 233557.827 199164.310 223986.477 5.09647 4.81498 4.62254 0.0002568987 1.24859 346.026 0.011177 837.615 288.721 0.00009766822 0.00021573585 0.0001007533 0.0000899961 233034.501 198636.274 223308.819 5.14802 4.49527 4.61425 0.0002570974 1.27840 347.017 0.011209 837.107 288.553 0.00009724406 0.00021643589 0.0001004686 0.0000904604 232538.872 198142.652 222665.692 5.19824 4.18395 4.60638 0.0002572770 1.30431 348.008 0.011241 836.609 288.392 0.00009681638 0.00021713353 0.0001001758 0.0000909197 232054.831 197667.065 222036.344 5.24869 3.87140 4.59868 0.0002574435 1.32730 349.029 0.011274 836.108 288.234 0.00009637175 0.00021785038 0.0000998656 0.0000913880 231567.732 197195.413 221401.754 5.30094 3.54783 4.59092 0.0002576016 1.34795 350.020 0.011306 835.633 288.089 0.00009593717 0.00021854291 0.0000995569 0.0000918367 231107.027 196756.190 220800.377 5.35182 3.23292 4.58356 0.0002577417 1.36502 351.011 0.011338 835.170 287.950 0.00009549932 0.00021923283 0.0000992405 0.0000922801 230657.707 196334.739 220212.759 5.40291 2.91691 4.57637 0.0002578686 1.37919 352.002 0.011370 834.717 287.819 0.00009505826 0.00021992006 0.0000989165 0.0000927179 230219.704 195930.977 219638.892 5.45419 2.59986 4.56935 0.0002579824 1.39048 353.023 0.011403 834.262 287.692 0.00009460014 0.00022062586 0.0000985745 0.0000931634 229779.793 195533.037 219061.484 5.50727 2.27186 4.56229 0.0002580859 1.39911 354.014 0.011435 833.832 287.575 0.00009415280 0.00022130740 0.0000982353 0.0000935896 229364.564 195164.956 218515.517 5.55892 1.95283 4.55561 0.0002581728 1.40458 355.005 0.011467 833.413 287.466 0.00009370249 0.00022198602 0.0000978887 0.0000940098 228960.440 194814.323 217983.266 5.61074 1.63290 4.54910 0.0002582465 1.40720 356.026 0.011500 832.992 287.361 0.00009323506 0.00022268274 0.0000975238 0.0000944368 228555.245 194470.929 217448.735 5.66435 1.30207 4.54256 0.0002583087 1.40693 357.017 0.011532 832.595 287.266 0.00009277893 0.00022335525 0.0000971628 0.0000948446 228173.462 194155.510 216944.306 5.71648 0.98045 4.53639 0.0002583554 1.40380 358.008 0.011564 832.209 287.178 0.00009232006 0.00022402464 0.0000967947 0.0000952461 227802.570 193857.318 216453.551 5.76875 0.65806 4.53039 0.0002583888 1.39787 359.029 0.011597 831.822 287.095 0.00009184405 0.00022471160 0.0000964079 0.0000956534 227431.417 193567.780 215961.766 5.82280 0.32486 4.52437 0.0002584094 1.38882 360.020 0.011629 831.458 287.022 0.00009137983 0.00022537444 0.0000960260 0.0000960417 227082.425 193304.376 215498.739 5.87533 0.00107 4.51871 0.0002584157 1.37723 Engine speed (Hz) = 86.0000000000 Output power (W) = 118.4064758260 Heat into heater (W) = 505.2780099184 Heat to regenerator (W) = 0.0920746896 Heat removal from cooler (W) = 388.6087678126 Approximate Pumping loss (W) = -362.8376311739 Thermal efficiency (%) = 23.4339261756 The average engine pressure (Pa) = 275916.2591088053 The exp space work per cycle (J) = 5.8846791750 The comp space work per cycle (J) = -4.5078596887 The net work per cycle (J) = 1.3768194863 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.5193660720 The expansion work for Vmin-to-Vmax (J) = 24.8961855584 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.015 0.000000 832.400 287.075 0.00009148367 0.00022514436 0.0000960280 0.0000960398 227593.394 193146.798 215793.033 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.017 0.000032 832.046 287.008 0.00009101207 0.00022581130 0.0000956348 0.0000964259 227254.187 192898.161 215337.648 0.05277 -0.32788 -0.00557 0.0002584087 -0.01479 2.020 0.000064 831.703 286.948 0.00009053795 0.00022647480 0.0000952350 0.0000968050 226925.769 192666.926 214896.161 0.10564 -0.65636 -0.01097 0.0002583881 -0.03240 3.022 0.000096 831.370 286.895 0.00009006137 0.00022713480 0.0000948287 0.0000971771 226608.062 192453.031 214468.553 0.15860 -0.98541 -0.01620 0.0002583538 -0.05281 4.024 0.000128 831.049 286.849 0.00008958243 0.00022779122 0.0000944158 0.0000975421 226300.989 192256.417 214054.808 0.21165 -1.31497 -0.02126 0.0002583059 -0.07602 5.026 0.000160 830.738 286.811 0.00008910120 0.00022844399 0.0000939967 0.0000978997 226004.474 192077.028 213654.906 0.26477 -1.64499 -0.02616 0.0002582444 -0.10199 6.029 0.000192 830.438 286.779 0.00008861776 0.00022909304 0.0000935714 0.0000982500 225718.438 191914.810 213268.831 0.31794 -1.97543 -0.03088 0.0002581694 -0.13072 7.031 0.000224 830.149 286.754 0.00008813219 0.00022973830 0.0000931400 0.0000985928 225442.804 191769.712 212896.564 0.37117 -2.30623 -0.03543 0.0002580808 -0.16219 8.002 0.000255 829.879 286.737 0.00008765985 0.00023035970 0.0000927164 0.0000989176 225185.631 191645.428 212549.082 0.42277 -2.62699 -0.03968 0.0002579820 -0.19527 9.004 0.000287 829.610 286.726 0.00008717033 0.00023099726 0.0000922734 0.0000992453 224930.252 191533.893 212203.950 0.47606 -2.95836 -0.04391 0.0002578668 -0.23209 10.006 0.000319 829.352 286.722 0.00008667893 0.00023163081 0.0000918248 0.0000995653 224685.046 191439.340 211872.576 0.52936 -3.28994 -0.04796 0.0002577381 -0.27160 11.008 0.000351 829.104 286.725 0.00008618572 0.00023226027 0.0000913707 0.0000998773 224449.938 191361.727 211554.943 0.58267 -3.62169 -0.05184 0.0002575960 -0.31378 12.011 0.000383 828.867 286.734 0.00008569080 0.00023288556 0.0000909112 0.0001001813 224224.851 191301.013 211251.035 0.63598 -3.95356 -0.05556 0.0002574405 -0.35861 13.013 0.000415 828.640 286.751 0.00008519424 0.00023350660 0.0000904464 0.0001004773 224009.710 191257.163 210960.837 0.68926 -4.28548 -0.05911 0.0002572717 -0.40608 14.015 0.000447 828.424 286.774 0.00008469613 0.00023412332 0.0000899765 0.0001007651 223804.439 191230.140 210684.335 0.74251 -4.61742 -0.06250 0.0002570896 -0.45617 15.017 0.000479 828.217 286.804 0.00008419655 0.00023473563 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4.94432 0.0002464508 -0.87572 318.007 0.010153 857.198 296.680 0.00010795143 0.00019511743 0.0001052166 0.0000754125 252410.250 220304.033 247402.577 3.81924 12.55363 4.93150 0.0002469771 -0.76014 319.009 0.010185 856.372 296.286 0.00010765642 0.00019585629 0.0001051829 0.0000759625 251558.641 219245.965 246367.853 3.86086 12.29581 4.91885 0.0002474934 -0.64766 320.012 0.010217 855.558 295.901 0.00010735557 0.00019659545 0.0001051396 0.0000765118 250720.273 218209.256 245346.082 3.90284 12.03522 4.90635 0.0002479994 -0.53829 321.014 0.010249 854.754 295.524 0.00010704894 0.00019733477 0.0001050866 0.0000770602 249895.124 217193.821 244337.365 3.94519 11.77194 4.89401 0.0002484949 -0.43204 322.016 0.010281 853.961 295.155 0.00010673664 0.00019807413 0.0001050241 0.0000776077 249083.166 216199.570 243341.797 3.98789 11.50601 4.88183 0.0002489798 -0.32890 323.018 0.010313 853.179 294.794 0.00010641873 0.00019881341 0.0001049520 0.0000781539 248284.371 215226.411 242359.468 4.03096 11.23751 4.86981 0.0002494540 -0.22889 324.021 0.010345 852.409 294.442 0.00010609531 0.00019955250 0.0001048704 0.0000786989 247498.707 214274.247 241390.460 4.07437 10.96647 4.85796 0.0002499173 -0.13199 325.023 0.010377 851.649 294.098 0.00010576645 0.00020029128 0.0001047793 0.0000792423 246726.140 213342.982 240434.851 4.11815 10.69297 4.84627 0.0002503696 -0.03823 326.025 0.010409 850.901 293.761 0.00010543223 0.00020102963 0.0001046786 0.0000797840 245966.633 212432.513 239492.715 4.16227 10.41706 4.83474 0.0002508107 0.05241 327.027 0.010441 850.164 293.434 0.00010509274 0.00020176745 0.0001045685 0.0000803239 245220.148 211542.739 238564.117 4.20674 10.13879 4.82338 0.0002512404 0.13993 328.029 0.010473 849.438 293.114 0.00010474805 0.00020250464 0.0001044490 0.0000808618 244486.642 210673.555 237649.121 4.25156 9.85821 4.81219 0.0002516588 0.22432 329.000 0.010504 848.745 292.812 0.00010440926 0.00020321807 0.0001043243 0.0000813808 243788.397 209851.067 236775.744 4.29530 9.58426 4.80151 0.0002520531 0.30309 330.003 0.010536 848.042 292.508 0.00010405458 0.00020395369 0.0001041863 0.0000819142 243080.319 209022.109 235887.689 4.34078 9.29931 4.79064 0.0002524485 0.38133 331.005 0.010568 847.349 292.213 0.00010369494 0.00020468836 0.0001040390 0.0000824452 242385.088 208213.424 235013.393 4.38660 9.01222 4.77995 0.0002528322 0.45645 332.007 0.010600 846.669 291.925 0.00010333044 0.00020542198 0.0001038824 0.0000829735 241702.655 207424.903 234152.900 4.43274 8.72304 4.76942 0.0002532039 0.52845 333.009 0.010632 845.999 291.646 0.00010296113 0.00020615446 0.0001037167 0.0000834990 241032.970 206656.437 233306.250 4.47921 8.43183 4.75906 0.0002535637 0.59733 334.012 0.010664 845.341 291.374 0.00010258711 0.00020688571 0.0001035417 0.0000840215 240375.980 205907.918 232473.479 4.52600 8.13863 4.74888 0.0002539112 0.66311 335.014 0.010696 844.694 291.111 0.00010220846 0.00020761562 0.0001033577 0.0000845408 239731.632 205179.236 231654.621 4.57311 7.84351 4.73886 0.0002542465 0.72578 336.016 0.010728 844.059 290.855 0.00010182524 0.00020834411 0.0001031646 0.0000850569 239099.869 204470.282 230849.704 4.62052 7.54650 4.72901 0.0002545695 0.78535 337.018 0.010760 843.435 290.607 0.00010143755 0.00020907108 0.0001029625 0.0000855695 238480.636 203780.948 230058.754 4.66824 7.24767 4.71934 0.0002548800 0.84183 338.021 0.010792 842.822 290.368 0.00010104546 0.00020979646 0.0001027515 0.0000860785 237873.874 203111.126 229281.793 4.71625 6.94706 4.70983 0.0002551780 0.89522 339.023 0.010824 842.221 290.136 0.00010064905 0.00021052015 0.0001025316 0.0000865837 237279.523 202460.710 228518.840 4.76456 6.64473 4.70050 0.0002554633 0.94552 340.025 0.010856 841.632 289.912 0.00010024839 0.00021124206 0.0001023029 0.0000870850 236697.523 201829.592 227769.912 4.81316 6.34072 4.69134 0.0002557359 0.99276 341.027 0.010888 841.054 289.696 0.00009984357 0.00021196211 0.0001020654 0.0000875822 236127.811 201217.667 227035.022 4.86203 6.03508 4.68235 0.0002559956 1.03692 342.030 0.010920 840.487 289.487 0.00009943467 0.00021268023 0.0001018193 0.0000880752 235570.323 200624.832 226314.181 4.91118 5.72787 4.67353 0.0002562425 1.07803 343.000 0.010951 839.949 289.293 0.00009903472 0.00021337398 0.0001015727 0.0000885486 235041.854 200068.630 225629.271 4.95905 5.42880 4.66515 0.0002564693 1.11494 344.003 0.010983 839.405 289.099 0.00009861800 0.00021408803 0.0001013098 0.0000890328 234508.245 199513.078 224936.110 5.00872 5.11863 4.65667 0.0002566906 1.15005 345.005 0.011015 838.872 288.914 0.00009819743 0.00021479991 0.0001010384 0.0000895124 233986.666 198976.315 224257.015 5.05864 4.80703 4.64836 0.0002568988 1.18213 346.007 0.011047 838.351 288.736 0.00009777307 0.00021550953 0.0001007587 0.0000899871 233477.050 198458.243 223591.988 5.10881 4.49406 4.64023 0.0002570938 1.21119 347.009 0.011079 837.841 288.566 0.00009734503 0.00021621681 0.0001004708 0.0000904569 232979.327 197958.764 222941.028 5.15921 4.17975 4.63226 0.0002572756 1.23723 348.012 0.011111 837.342 288.403 0.00009691336 0.00021692168 0.0001001746 0.0000909215 232493.430 197477.784 222304.133 5.20985 3.86416 4.62447 0.0002574442 1.26028 349.014 0.011143 836.855 288.248 0.00009647814 0.00021762407 0.0000998704 0.0000913809 232019.287 197015.211 221681.298 5.26070 3.54733 4.61685 0.0002575993 1.28033 350.016 0.011175 836.379 288.101 0.00009603946 0.00021832389 0.0000995582 0.0000918349 231556.827 196570.954 221072.518 5.31178 3.22932 4.60941 0.0002577411 1.29741 351.018 0.011207 835.914 287.961 0.00009559740 0.00021902107 0.0000992381 0.0000922834 231105.980 196144.923 220477.785 5.36305 2.91017 4.60213 0.0002578695 1.31151 352.021 0.011239 835.461 287.828 0.00009515202 0.00021971554 0.0000989102 0.0000927262 230666.671 195737.032 219897.090 5.41453 2.58993 4.59503 0.0002579844 1.32266 353.023 0.011271 835.018 287.703 0.00009470341 0.00022040723 0.0000985746 0.0000931633 230238.829 195347.197 219330.424 5.46620 2.26865 4.58810 0.0002580859 1.33087 354.025 0.011303 834.587 287.585 0.00009425164 0.00022109606 0.0000982314 0.0000935943 229822.379 194975.335 218777.774 5.51804 1.94637 4.58134 0.0002581737 1.33615 355.027 0.011335 834.168 287.475 0.00009379680 0.00022178195 0.0000978807 0.0000940193 229417.247 194621.366 218239.129 5.57006 1.62315 4.57475 0.0002582481 1.33851 356.030 0.011367 833.759 287.372 0.00009333896 0.00022246485 0.0000975227 0.0000944381 229023.359 194285.211 217714.475 5.62224 1.29903 4.56833 0.0002583088 1.33796 357.000 0.011398 833.374 287.279 0.00009289264 0.00022312347 0.0000971689 0.0000948378 228652.430 193976.480 217219.544 5.67293 0.98423 4.56227 0.0002583547 1.33468 358.003 0.011430 832.987 287.190 0.00009242913 0.00022380024 0.0000967966 0.0000952441 228280.457 193675.181 216722.392 5.72540 0.65849 4.55619 0.0002583887 1.32846 359.005 0.011462 832.611 287.109 0.00009196285 0.00022447380 0.0000964173 0.0000956437 227919.502 193391.480 216239.186 5.77800 0.33199 4.55028 0.0002584090 1.31937 360.007 0.011494 832.246 287.034 0.00009149388 0.00022514407 0.0000960310 0.0000960367 227569.489 193125.308 215769.910 5.83073 0.00478 4.54454 0.0002584157 1.30744 Engine speed (Hz) = 87.0000000000 Output power (W) = 113.7106205797 Heat into heater (W) = 507.2731443682 Heat to regenerator (W) = 0.4159277502 Heat removal from cooler (W) = 395.3749500565 Approximate Pumping loss (W) = -373.8357076584 Thermal efficiency (%) = 22.4160537261 The average engine pressure (Pa) = 275993.5414185342 The exp space work per cycle (J) = 5.8416561792 The comp space work per cycle (J) = -4.5346375519 The net work per cycle (J) = 1.3070186274 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.5575745293 The expansion work for Vmin-to-Vmax (J) = 24.8645931567 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000000 833.190 287.086 0.00009159572 0.00022491649 0.0000960316 0.0000960361 228079.766 192965.804 216063.024 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.020 0.000032 832.835 287.018 0.00009111931 0.00022559078 0.0000956340 0.0000964267 227739.927 192714.874 215601.736 0.05296 -0.33132 -0.00564 0.0002584087 -0.01521 2.002 0.000063 832.503 286.959 0.00009065528 0.00022624069 0.0000952423 0.0000967983 227421.178 192488.799 215168.392 0.10436 -0.65289 -0.01094 0.0002583886 -0.03271 3.015 0.000095 832.170 286.906 0.00009017378 0.00022690809 0.0000948313 0.0000971747 227102.875 192272.932 214735.015 0.15751 -0.98544 -0.01625 0.0002583541 -0.05359 4.029 0.000127 831.849 286.860 0.00008968983 0.00022757188 0.0000944137 0.0000975439 226795.389 192074.782 214315.787 0.21074 -1.31853 -0.02137 0.0002583056 -0.07733 5.011 0.000158 831.548 286.822 0.00008921872 0.00022821141 0.0000940031 0.0000978944 226507.751 191899.666 213923.137 0.26239 -1.64169 -0.02618 0.0002582455 -0.10303 6.025 0.000190 831.248 286.790 0.00008873016 0.00022886788 0.0000935729 0.0000982488 226221.322 191736.230 213531.713 0.31575 -1.97571 -0.03097 0.0002581697 -0.13234 7.007 0.000221 830.967 286.766 0.00008825475 0.00022950018 0.0000931503 0.0000985847 225953.928 191594.641 213165.962 0.36750 -2.29968 -0.03544 0.0002580830 -0.16342 8.021 0.000253 830.689 286.749 0.00008776191 0.00023014903 0.0000927080 0.0000989239 225688.236 191465.714 212802.271 0.42096 -2.63444 -0.03989 0.0002579799 -0.19824 9.003 0.000284 830.429 286.738 0.00008728251 0.00023077381 0.0000922739 0.0000992450 225440.777 191357.462 212463.351 0.47278 -2.95902 -0.04404 0.0002578669 -0.23461 10.017 0.000316 830.171 286.734 0.00008678572 0.00023141475 0.0000918201 0.0000995686 225195.504 191262.857 212127.322 0.52628 -3.29432 -0.04815 0.0002577367 -0.27487 11.030 0.000348 829.924 286.738 0.00008628704 0.00023205155 0.0000913607 0.0000998840 224960.481 191185.621 211805.317 0.57979 -3.62981 -0.05208 0.0002575927 -0.31787 12.012 0.000379 829.694 286.748 0.00008580223 0.00023266444 0.0000909103 0.0001001819 224742.500 191127.322 211506.734 0.63162 -3.95495 -0.05574 0.0002574402 -0.36212 13.026 0.000411 829.468 286.765 0.00008530010 0.00023329288 0.0000904402 0.0001004812 224527.419 191084.163 211212.292 0.68510 -4.29067 -0.05934 0.0002572694 -0.41045 14.008 0.000442 829.258 286.788 0.00008481210 0.00023389751 0.0000899797 0.0001007631 224328.606 191058.808 210940.381 0.73688 -4.61594 -0.06267 0.0002570909 -0.45983 15.022 0.000474 829.052 286.819 0.00008430686 0.00023451726 0.0000894995 0.0001010459 224133.155 191049.588 210673.444 0.79029 -4.95168 -0.06593 0.0002568934 -0.51343 16.004 0.000505 828.862 286.856 0.00008381601 0.00023511333 0.0000890295 0.0001013116 223953.209 191057.051 210428.151 0.84198 -5.27686 -0.06893 0.0002566891 -0.56787 17.018 0.000537 828.676 286.900 0.00008330799 0.00023572408 0.0000885396 0.0001015775 223777.082 191081.649 210188.665 0.89526 -5.61241 -0.07186 0.0002564651 -0.62666 18.000 0.000568 828.505 286.950 0.00008281462 0.00023631126 0.0000880607 0.0001018267 223615.709 191121.822 209969.943 0.94681 -5.93731 -0.07454 0.0002562354 -0.68609 19.014 0.000600 828.339 287.008 0.00008230418 0.00023691268 0.0000875619 0.0001020753 223458.605 191180.136 209757.865 0.99992 -6.27245 -0.07713 0.0002559852 -0.74999 20.028 0.000632 828.183 287.072 0.00008179264 0.00023750923 0.0000870587 0.0001023151 223311.052 191255.541 209559.694 1.05292 -6.60731 -0.07956 0.0002557218 -0.81646 21.010 0.000663 828.042 287.142 0.00008129612 0.00023808241 0.0000865674 0.0001025388 223177.147 191344.868 209380.971 1.10416 -6.93137 -0.08174 0.0002554542 -0.88328 22.023 0.000695 827.905 287.220 0.00008078269 0.00023866911 0.0000860562 0.0001027609 223048.182 191453.864 209210.161 1.15691 -7.26548 -0.08383 0.0002551651 -0.95474 23.005 0.000726 827.782 287.302 0.00008028453 0.00023923257 0.0000855573 0.0001029674 222932.151 191575.700 209057.935 1.20788 -7.58871 -0.08569 0.0002548727 -1.02636 24.019 0.000758 827.665 287.393 0.00007976958 0.00023980906 0.0000850387 0.0001031716 222821.499 191718.223 208914.470 1.26033 -7.92186 -0.08745 0.0002545583 -1.10275 25.001 0.000789 827.560 287.488 0.00007927013 0.00024036245 0.0000845329 0.0001033606 222723.081 191872.512 208788.733 1.31097 -8.24404 -0.08899 0.0002542415 -1.17910 26.015 0.000821 827.462 287.592 0.00007875404 0.00024092835 0.0000840075 0.0001035465 222630.484 192048.512 208672.613 1.36306 -8.57598 -0.09041 0.0002539021 -1.26032 27.029 0.000853 827.374 287.703 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11.20975 4.89545 0.0002494525 -0.29254 324.029 0.010228 853.027 294.463 0.00010616123 0.00019937659 0.0001048697 0.0000787034 247833.896 214088.334 241646.881 4.04441 10.93658 4.88347 0.0002499211 -0.19467 325.011 0.010259 852.288 294.125 0.00010584040 0.00020009876 0.0001047804 0.0000792358 247081.098 213174.785 240711.243 4.08698 10.66952 4.87202 0.0002503643 -0.10291 326.025 0.010291 851.535 293.784 0.00010550383 0.00020084384 0.0001046787 0.0000797838 246317.161 212252.775 239758.941 4.13128 10.39141 4.86037 0.0002508105 -0.01134 327.007 0.010322 850.818 293.462 0.00010517261 0.00020156514 0.0001045709 0.0000803129 245589.792 211379.827 238849.559 4.17452 10.11968 4.84925 0.0002512318 0.07432 328.020 0.010354 850.088 293.137 0.00010482545 0.00020230911 0.0001044501 0.0000808570 244852.022 210499.518 237924.491 4.21950 9.83685 4.83793 0.0002516551 0.15958 329.003 0.010385 849.392 292.831 0.00010448415 0.00020302913 0.0001043240 0.0000813819 244149.918 209666.762 237041.610 4.26341 9.56065 4.82713 0.0002520539 0.23913 330.016 0.010417 848.686 292.523 0.00010412674 0.00020377157 0.0001041843 0.0000819215 243438.137 208827.724 236144.011 4.30907 9.27333 4.81615 0.0002524538 0.31809 331.030 0.010449 847.990 292.224 0.00010376426 0.00020451307 0.0001040352 0.0000824585 242739.485 208009.483 235260.441 4.35506 8.98379 4.80534 0.0002528417 0.39386 332.012 0.010480 847.328 291.942 0.00010340833 0.00020523042 0.0001038816 0.0000829761 242075.137 207236.536 234417.907 4.39994 8.70126 4.79504 0.0002532058 0.46422 333.026 0.010512 846.656 291.658 0.00010303607 0.00020596978 0.0001037139 0.0000835076 241402.178 206458.906 233562.091 4.44658 8.40755 4.78457 0.0002535695 0.53370 334.008 0.010543 846.015 291.392 0.00010267082 0.00020668487 0.0001035424 0.0000840196 240762.619 205725.087 232746.519 4.49208 8.12107 4.77459 0.0002539100 0.59797 335.022 0.010575 845.366 291.125 0.00010228911 0.00020742173 0.0001033562 0.0000845449 240115.141 204987.626 231918.606 4.53936 7.82339 4.76446 0.0002542491 0.66119 336.004 0.010606 844.748 290.874 0.00010191486 0.00020813420 0.0001031670 0.0000850506 239500.158 204292.507 231130.126 4.58546 7.53316 4.75482 0.0002545656 0.71940 337.018 0.010638 844.122 290.623 0.00010152400 0.00020886818 0.0001029626 0.0000855691 238877.933 203594.774 230330.235 4.63335 7.23171 4.74503 0.0002548798 0.77637 338.031 0.010670 843.507 290.380 0.00010112863 0.00020960055 0.0001027491 0.0000860839 238268.446 202917.053 229544.614 4.68154 6.92843 4.73542 0.0002551811 0.83018 339.013 0.010701 842.923 290.152 0.00010074137 0.00021030843 0.0001025337 0.0000865790 237690.092 202279.489 228797.172 4.72850 6.63293 4.72628 0.0002554607 0.87929 340.027 0.010733 842.331 289.925 0.00010033732 0.00021103740 0.0001023024 0.0000870861 237105.495 201640.841 228039.703 4.77727 6.32619 4.71701 0.0002557364 0.92689 341.009 0.010764 841.769 289.713 0.00009994182 0.00021174181 0.0001020698 0.0000875733 236551.132 201040.921 227319.563 4.82479 6.02744 4.70820 0.0002559911 0.97001 342.023 0.010796 841.200 289.502 0.00009952942 0.00021246703 0.0001018209 0.0000880720 235991.171 200440.921 226590.303 4.87411 5.71744 4.69928 0.0002562410 1.01143 343.005 0.010827 840.661 289.304 0.00009912597 0.00021316766 0.0001015715 0.0000885509 235460.548 199878.239 225897.510 4.92214 5.41563 4.69081 0.0002564704 1.04858 344.019 0.010859 840.115 289.109 0.00009870552 0.00021388882 0.0001013055 0.0000890406 234924.960 199316.471 225196.493 4.97199 5.10257 4.68223 0.0002566941 1.08386 345.001 0.010890 839.597 288.927 0.00009829443 0.00021458535 0.0001010395 0.0000895105 234417.817 198790.629 224531.071 5.02052 4.79788 4.67409 0.0002568980 1.11507 346.015 0.010922 839.075 288.747 0.00009786625 0.00021530211 0.0001007566 0.0000899907 233906.330 198266.690 223858.316 5.07087 4.48195 4.66586 0.0002570953 1.14425 347.028 0.010954 838.563 288.574 0.00009743426 0.00021601653 0.0001004652 0.0000904658 233406.978 197761.816 223199.915 5.12145 4.16465 4.65781 0.0002572790 1.17034 348.011 0.010985 838.079 288.415 0.00009701220 0.00021670631 0.0001001749 0.0000909210 232934.733 197290.807 222575.778 5.17068 3.85599 4.65017 0.0002574440 1.19268 349.024 0.011017 837.591 288.258 0.00009657294 0.00021741588 0.0000998672 0.0000913857 232459.056 196823.180 221945.632 5.22172 3.53611 4.64246 0.0002576009 1.21272 350.006 0.011048 837.129 288.113 0.00009614400 0.00021810081 0.0000995612 0.0000918306 232009.608 196388.075 221348.857 5.27137 3.22505 4.63516 0.0002577398 1.22924 351.020 0.011080 836.663 287.971 0.00009569778 0.00021880523 0.0000992375 0.0000922842 231557.316 195957.329 220746.944 5.32282 2.90279 4.62780 0.0002578697 1.24329 352.002 0.011111 836.223 287.841 0.00009526224 0.00021948503 0.0000989163 0.0000927182 231130.379 195557.781 220177.504 5.37287 2.58951 4.62083 0.0002579825 1.25401 353.016 0.011143 835.780 287.715 0.00009480937 0.00022018401 0.0000985769 0.0000931603 230701.176 195163.568 219603.790 5.42471 2.26506 4.61381 0.0002580852 1.26211 354.030 0.011175 835.348 287.595 0.00009435324 0.00022088010 0.0000982298 0.0000935963 230283.585 194787.781 219044.382 5.47674 1.93957 4.60697 0.0002581741 1.26722 355.012 0.011206 834.941 287.487 0.00009390833 0.00022155163 0.0000978862 0.0000940128 229890.043 194441.233 218516.088 5.52730 1.62331 4.60051 0.0002582470 1.26931 356.026 0.011238 834.531 287.383 0.00009344601 0.00022224184 0.0000975241 0.0000944365 229495.084 194101.485 217984.809 5.57966 1.29592 4.59401 0.0002583086 1.26854 357.008 0.011269 834.146 287.289 0.00009299526 0.00022290752 0.0000971662 0.0000948408 229123.317 193789.699 217483.737 5.63053 0.97790 4.58788 0.0002583550 1.26497 358.021 0.011301 833.758 287.200 0.00009252708 0.00022359157 0.0000967896 0.0000952516 228750.680 193485.685 216980.531 5.68319 0.64880 4.58172 0.0002583892 1.25838 359.004 0.011332 833.394 287.120 0.00009207079 0.00022425114 0.0000964178 0.0000956432 228400.387 193208.376 216506.625 5.73433 0.32923 4.57593 0.0002584090 1.24921 360.017 0.011364 833.029 287.045 0.00009159705 0.00022492872 0.0000960271 0.0000960406 228049.760 192939.812 216031.429 5.78724 -0.00139 4.57011 0.0002584157 1.23687 Engine speed (Hz) = 88.0000000000 Output power (W) = 108.8060662317 Heat into heater (W) = 509.2775128073 Heat to regenerator (W) = -0.1223722822 Heat removal from cooler (W) = 402.1699369382 Approximate Pumping loss (W) = -385.0453224822 Thermal efficiency (%) = 21.3647890385 The average engine pressure (Pa) = 276089.4063944315 The exp space work per cycle (J) = 5.7954854078 The comp space work per cycle (J) = -4.5590528370 The net work per cycle (J) = 1.2364325708 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.5963108928 The expansion work for Vmin-to-Vmax (J) = 24.8327434637 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.009 0.000000 833.978 287.095 0.00009170194 0.00022469649 0.0000960305 0.0000960372 228562.965 192781.217 216328.278 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000031 833.635 287.029 0.00009123579 0.00022535680 0.0000956410 0.0000964199 228233.245 192535.817 215875.645 0.05147 -0.32427 -0.00554 0.0002584089 -0.01514 2.027 0.000063 833.291 286.968 0.00009075193 0.00022603497 0.0000952320 0.0000968078 227903.887 192300.500 215422.662 0.10470 -0.65967 -0.01108 0.0002583879 -0.03369 3.020 0.000094 832.969 286.916 0.00009028068 0.00022668855 0.0000948293 0.0000971766 227595.395 192089.913 214997.622 0.15637 -0.98520 -0.01628 0.0002583539 -0.05445 4.014 0.000125 832.658 286.871 0.00008980703 0.00022733871 0.0000944202 0.0000975383 227297.227 191896.368 214586.133 0.20811 -1.31128 -0.02131 0.0002583065 -0.07796 5.007 0.000156 832.357 286.833 0.00008933106 0.00022798539 0.0000940049 0.0000978929 227009.304 191719.810 214188.178 0.25992 -1.63787 -0.02618 0.0002582458 -0.10420 6.000 0.000187 832.067 286.802 0.00008885284 0.00022862851 0.0000935835 0.0000982402 226731.547 191560.188 213803.740 0.31180 -1.96491 -0.03088 0.0002581717 -0.13316 7.025 0.000219 831.777 286.777 0.00008835694 0.00022928857 0.0000931423 0.0000985910 226455.408 191413.128 213421.060 0.36540 -2.30292 -0.03556 0.0002580813 -0.16587 8.019 0.000250 831.508 286.760 0.00008787441 0.00022992424 0.0000927090 0.0000989232 226198.065 191287.772 213064.038 0.41736 -2.63074 -0.03993 0.0002579802 -0.20029 9.012 0.000281 831.248 286.750 0.00008738988 0.00023055614 0.0000922699 0.0000992479 225950.646 191179.207 212720.480 0.46935 -2.95887 -0.04413 0.0002578658 -0.23737 10.005 0.000312 830.999 286.747 0.00008690343 0.00023118420 0.0000918253 0.0000995649 225713.071 191087.391 212390.369 0.52136 -3.28727 -0.04817 0.0002577383 -0.27709 11.030 0.000344 830.752 286.750 0.00008639934 0.00023182841 0.0000913607 0.0000998840 225478.074 191010.139 212063.697 0.57505 -3.62647 -0.05217 0.0002575927 -0.32086 12.024 0.000375 830.523 286.761 0.00008590922 0.00023244844 0.0000909052 0.0001001852 225260.261 190952.239 211760.864 0.62706 -3.95525 -0.05587 0.0002574384 -0.36591 13.017 0.000406 830.304 286.778 0.00008541742 0.00023306439 0.0000904446 0.0001004784 225052.052 190910.974 211471.431 0.67905 -4.28414 -0.05941 0.0002572710 -0.41356 14.010 0.000437 830.095 286.802 0.00008492402 0.00023367621 0.0000899789 0.0001007637 224853.370 190886.308 211195.381 0.73102 -4.61308 -0.06279 0.0002570906 -0.46378 15.003 0.000468 829.895 286.833 0.00008442910 0.00023428380 0.0000895084 0.0001010407 224664.135 190878.213 210932.702 0.78294 -4.94205 -0.06600 0.0002568971 -0.51656 16.029 0.000500 829.700 286.871 0.00008391671 0.00023490650 0.0000890177 0.0001013182 224478.624 190887.205 210675.559 0.83649 -5.28158 -0.06915 0.0002566839 -0.57372 17.022 0.000531 829.520 286.916 0.00008341897 0.00023550528 0.0000885377 0.0001015785 224308.353 190912.697 210440.012 0.88829 -5.61040 -0.07203 0.0002564642 -0.63165 18.015 0.000562 829.350 286.966 0.00008291996 0.00023609961 0.0000880533 0.0001018305 224147.297 190954.677 210217.797 0.94002 -5.93909 -0.07475 0.0002562318 -0.69208 19.008 0.000593 829.190 287.024 0.00008241977 0.00023668941 0.0000875645 0.0001020740 223995.382 191013.123 210008.906 0.99166 -6.26757 -0.07731 0.0002559866 -0.75500 20.002 0.000624 829.039 287.088 0.00008191849 0.00023727458 0.0000870716 0.0001023091 223852.533 191088.015 209813.328 1.04320 -6.59581 -0.07970 0.0002557287 -0.82038 21.027 0.000656 828.893 287.160 0.00008139998 0.00023787370 0.0000865587 0.0001025427 223714.509 191182.554 209625.399 1.09629 -6.93431 -0.08200 0.0002554494 -0.89045 22.020 0.000687 828.761 287.238 0.00008089675 0.00023844923 0.0000860578 0.0001027602 223589.864 191290.813 209456.858 1.14759 -7.26187 -0.08406 0.0002551661 -0.96079 23.013 0.000718 828.639 287.321 0.00008039269 0.00023901988 0.0000855533 0.0001029691 223474.068 191415.468 209301.612 1.19874 -7.58901 -0.08596 0.0002548703 -1.03354 24.007 0.000749 828.526 287.411 0.00007988789 0.00023958557 0.0000850452 0.0001031691 223367.053 191556.505 209159.659 1.24975 -7.91568 -0.08769 0.0002545623 -1.10867 25.032 0.000781 828.418 287.511 0.00007936614 0.00024016421 0.0000845171 0.0001033663 223265.727 191719.263 209027.069 1.30223 -8.25233 -0.08932 0.0002542315 -1.18872 26.025 0.000812 828.324 287.614 0.00007886012 0.00024071952 0.0000840023 0.0001035483 223176.354 191893.560 208912.130 1.35289 -8.57787 -0.09072 0.0002538987 -1.26865 27.018 0.000843 828.238 287.724 0.00007835365 0.00024126960 0.0000834844 0.0001037214 223095.567 192084.210 208810.487 1.40335 -8.90276 -0.09197 0.0002535538 -1.35092 28.012 0.000874 828.161 287.839 0.00007784681 0.00024181433 0.0000829636 0.0001038855 223023.303 192291.206 208722.145 1.45361 -9.22694 -0.09305 0.0002531971 -1.43549 29.005 0.000905 828.094 287.962 0.00007733970 0.00024235363 0.0000824400 0.0001040405 222959.506 192514.542 208647.111 1.50365 -9.55036 -0.09396 0.0002528285 -1.52235 30.030 0.000937 828.033 288.094 0.00007681605 0.00024290451 0.0000818968 0.0001041910 222902.473 192762.218 208583.627 1.55506 -9.88334 -0.09474 0.0002524357 -1.61439 31.023 0.000968 827.984 288.229 0.00007630868 0.00024343245 0.0000813680 0.0001043274 222855.713 193018.749 208535.674 1.60461 -10.20501 -0.09533 0.0002520435 -1.70583 32.017 0.000999 827.943 288.370 0.00007580135 0.00024395463 0.0000808370 0.0001044547 222817.262 193291.611 208501.067 1.65389 -10.52573 -0.09575 0.0002516398 -1.79950 33.010 0.001030 827.911 288.517 0.00007529413 0.00024447095 0.0000803039 0.0001045728 222787.071 193580.801 208479.826 1.70290 -10.84543 -0.09601 0.0002512247 -1.89538 34.003 0.001061 827.887 288.671 0.00007478714 0.00024498131 0.0000797688 0.0001046816 222765.101 193886.319 208471.972 1.75162 -11.16404 -0.09611 0.0002507984 -1.99344 35.028 0.001093 827.872 288.835 0.00007426414 0.00024550175 0.0000792145 0.0001047842 222751.003 194218.818 208477.933 1.80159 -11.49173 -0.09603 0.0002503467 -2.09693 36.022 0.001124 827.867 289.001 0.00007375793 0.00024599963 0.0000786759 0.0001048740 222745.623 194557.516 208497.366 1.84968 -11.80795 -0.09580 0.0002498980 -2.19936 37.015 0.001155 827.869 289.173 0.00007325226 0.00024649119 0.0000781358 0.0001049546 222748.361 194912.542 208530.273 1.89742 -12.12287 -0.09539 0.0002494384 -2.30391 38.008 0.001186 827.881 289.351 0.00007274723 0.00024697630 0.0000775944 0.0001050257 222759.192 195283.894 208576.689 1.94481 -12.43644 -0.09483 0.0002489682 -2.41056 39.001 0.001217 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4.79013 0.0002542482 0.59575 336.012 0.010487 845.426 290.887 0.00010199610 0.00020793951 0.0001031654 0.0000850548 239887.295 204100.803 231394.592 4.55029 7.51744 4.78038 0.0002545682 0.65444 337.005 0.010518 844.817 290.641 0.00010161442 0.00020865727 0.0001029652 0.0000855629 239281.806 203416.781 230611.123 4.59684 7.22290 4.77080 0.0002548761 0.71009 338.031 0.010550 844.200 290.395 0.00010121585 0.00020939661 0.0001027493 0.0000860836 238669.588 202730.893 229816.707 4.64519 6.91700 4.76108 0.0002551809 0.76435 339.024 0.010581 843.614 290.164 0.00010082538 0.00021011124 0.0001025313 0.0000865842 238088.844 202085.898 229061.016 4.69232 6.61890 4.75183 0.0002554636 0.81383 340.017 0.010612 843.039 289.941 0.00010043070 0.00021082420 0.0001023047 0.0000870810 237520.182 201459.945 228319.020 4.73972 6.31913 4.74276 0.0002557338 0.86028 341.010 0.010643 842.475 289.726 0.00010003189 0.00021153542 0.0001020695 0.0000875738 236963.541 200852.933 227590.734 4.78740 6.01773 4.73385 0.0002559914 0.90371 342.004 0.010674 841.923 289.519 0.00009962902 0.00021224481 0.0001018258 0.0000880625 236418.856 200264.756 226876.169 4.83533 5.71474 4.72511 0.0002562363 0.94413 343.029 0.010706 841.364 289.313 0.00009920897 0.00021297509 0.0001015654 0.0000885624 235869.074 199677.257 226152.956 4.88509 5.40037 4.71626 0.0002564758 0.98270 344.022 0.010737 840.834 289.121 0.00009879808 0.00021368052 0.0001013046 0.0000890422 235348.486 199127.050 225466.303 4.93354 5.09432 4.70786 0.0002566948 1.01703 345.015 0.010768 840.315 288.936 0.00009838335 0.00021438390 0.0001010356 0.0000895173 234839.654 198595.376 224793.391 4.98224 4.78682 4.69963 0.0002569009 1.04837 346.009 0.010799 839.807 288.760 0.00009796487 0.00021508514 0.0001007583 0.0000899878 234342.509 198082.139 224134.224 5.03117 4.47794 4.69156 0.0002570941 1.07673 347.002 0.010830 839.311 288.591 0.00009754270 0.00021578416 0.0001004730 0.0000904533 233856.982 197587.242 223488.803 5.08033 4.16771 4.68367 0.0002572743 1.10213 348.027 0.010862 838.810 288.424 0.00009710313 0.00021650334 0.0001001700 0.0000909287 233367.906 197095.521 222836.976 5.13131 3.84611 4.67569 0.0002574467 1.12525 349.020 0.010893 838.336 288.270 0.00009667371 0.00021719765 0.0000998684 0.0000913839 232905.773 196637.613 222219.481 5.18092 3.53329 4.66814 0.0002576003 1.14466 350.014 0.010924 837.873 288.123 0.00009624082 0.00021788952 0.0000995590 0.0000918338 232455.044 196197.769 221615.721 5.23073 3.21927 4.66075 0.0002577408 1.16113 351.007 0.010955 837.421 287.984 0.00009580455 0.00021857888 0.0000992418 0.0000922783 232015.644 195775.902 221025.689 5.28074 2.90409 4.65354 0.0002578681 1.17468 352.000 0.010986 836.980 287.853 0.00009536498 0.00021926567 0.0000989170 0.0000927172 231587.502 195371.927 220449.379 5.33095 2.58779 4.64649 0.0002579822 1.18532 353.025 0.011018 836.536 287.724 0.00009490783 0.00021997184 0.0000985737 0.0000931643 231157.276 194973.598 219868.860 5.38296 2.26018 4.63938 0.0002580861 1.19327 354.019 0.011049 836.118 287.608 0.00009446176 0.00022065318 0.0000982336 0.0000935916 230751.781 194605.729 219320.404 5.43353 1.94177 4.63267 0.0002581732 1.19803 355.012 0.011080 835.710 287.498 0.00009401260 0.00022133172 0.0000978862 0.0000940128 230357.316 194255.507 218785.637 5.48426 1.62239 4.62613 0.0002582470 1.19992 356.005 0.011111 835.313 287.396 0.00009356044 0.00022200741 0.0000975315 0.0000944280 229973.804 193922.854 218264.547 5.53515 1.30209 4.61976 0.0002583075 1.19896 357.030 0.011143 834.914 287.298 0.00009309062 0.00022270183 0.0000971579 0.0000948500 229589.330 193597.821 217740.978 5.58783 0.97053 4.61335 0.0002583559 1.19498 358.024 0.011174 834.539 287.210 0.00009263257 0.00022337149 0.0000967888 0.0000952525 229227.843 193300.649 217247.640 5.63901 0.64848 4.60732 0.0002583892 1.18824 359.017 0.011205 834.175 287.130 0.00009217175 0.00022403809 0.0000964127 0.0000956484 228877.076 193020.830 216767.936 5.69032 0.32565 4.60145 0.0002584092 1.17869 360.010 0.011236 833.821 287.056 0.00009170822 0.00022470155 0.0000960299 0.0000960378 228536.951 192758.296 216301.849 5.74175 0.00208 4.59575 0.0002584157 1.16633 Engine speed (Hz) = 89.0000000000 Output power (W) = 103.7636140770 Heat into heater (W) = 511.0159206418 Heat to regenerator (W) = 0.1852820442 Heat removal from cooler (W) = 409.0216282713 Approximate Pumping loss (W) = -396.3950840234 Thermal efficiency (%) = 20.3053583823 The average engine pressure (Pa) = 276168.0006031133 The exp space work per cycle (J) = 5.7514650487 The comp space work per cycle (J) = -4.5855817445 The net work per cycle (J) = 1.1658833042 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.6350313468 The expansion work for Vmin-to-Vmax (J) = 24.8009146510 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.011 0.000000 834.769 287.105 0.00009180837 0.00022447577 0.0000960296 0.0000960381 229047.326 192596.422 216594.722 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.015 0.000031 834.426 287.038 0.00009133759 0.00022514308 0.0000956357 0.0000964250 228717.421 192348.945 216136.547 0.05163 -0.32756 -0.00560 0.0002584087 -0.01560 2.020 0.000062 834.094 286.978 0.00009086418 0.00022580709 0.0000952350 0.0000968050 228398.184 192119.053 215692.233 0.10336 -0.65580 -0.01104 0.0002583881 -0.03404 3.024 0.000093 833.772 286.926 0.00009038819 0.00022646773 0.0000948278 0.0000971779 228089.530 191906.682 215261.762 0.15518 -0.98468 -0.01631 0.0002583537 -0.05530 4.028 0.000124 833.461 286.880 0.00008990973 0.00022712492 0.0000944140 0.0000975436 227791.376 191711.774 214845.118 0.20708 -1.31414 -0.02140 0.0002583057 -0.07937 5.000 0.000154 833.170 286.843 0.00008944440 0.00022775756 0.0000940076 0.0000978906 227512.757 191539.726 214455.061 0.25738 -1.63349 -0.02617 0.0002582462 -0.10533 6.005 0.000185 832.880 286.812 0.00008896128 0.00022840776 0.0000935815 0.0000982418 227235.017 191379.017 214065.570 0.30941 -1.96397 -0.03094 0.0002581713 -0.13488 7.009 0.000216 832.600 286.788 0.00008847591 0.00022905430 0.0000931493 0.0000985855 226967.525 191235.610 213689.852 0.36150 -2.29489 -0.03554 0.0002580828 -0.16719 8.014 0.000247 832.331 286.771 0.00008798837 0.00022969710 0.0000927112 0.0000989215 226710.196 191109.457 213327.887 0.41362 -2.62620 -0.03996 0.0002579807 -0.20225 9.018 0.000278 832.072 286.761 0.00008749874 0.00023033611 0.0000922672 0.0000992499 226462.947 191000.511 212979.659 0.46578 -2.95786 -0.04422 0.0002578651 -0.24003 10.022 0.000309 831.823 286.758 0.00008700711 0.00023097123 0.0000918175 0.0000995704 226225.691 190908.727 212645.150 0.51795 -3.28981 -0.04832 0.0002577359 -0.28052 11.027 0.000340 831.585 286.762 0.00008651355 0.00023160240 0.0000913623 0.0000998829 225998.345 190834.066 212324.343 0.57013 -3.62200 -0.05224 0.0002575933 -0.32370 12.031 0.000371 831.356 286.773 0.00008601815 0.00023222954 0.0000909017 0.0001001875 225780.823 190776.487 212017.220 0.62231 -3.95439 -0.05600 0.0002574372 -0.36956 13.003 0.000401 831.145 286.791 0.00008553706 0.00023283254 0.0000904509 0.0001004745 225579.594 190736.997 211733.019 0.67278 -4.27619 -0.05947 0.0002572734 -0.41646 14.008 0.000432 830.936 286.815 0.00008503829 0.00023345153 0.0000899801 0.0001007629 225381.159 190712.929 211452.778 0.72492 -4.60880 -0.06290 0.0002570910 -0.46753 15.012 0.000463 830.737 286.847 0.00008453792 0.00023406625 0.0000895043 0.0001010431 225192.299 190705.842 211186.175 0.77701 -4.94146 -0.06616 0.0002568954 -0.52121 16.016 0.000494 830.549 286.885 0.00008403605 0.00023467664 0.0000890236 0.0001013149 225012.933 190715.708 210933.196 0.82905 -5.27410 -0.06926 0.0002566865 -0.57750 17.021 0.000525 830.370 286.930 0.00008353276 0.00023528261 0.0000885382 0.0001015782 224842.976 190742.499 210693.828 0.88103 -5.60667 -0.07219 0.0002564645 -0.63636 18.025 0.000556 830.200 286.982 0.00008302813 0.00023588408 0.0000880483 0.0001018330 224682.348 190786.190 210468.059 0.93293 -5.93913 -0.07495 0.0002562293 -0.69779 19.030 0.000587 830.041 287.041 0.00008252226 0.00023648097 0.0000875540 0.0001020792 224530.967 190846.759 210255.879 0.98475 -6.27141 -0.07754 0.0002559812 -0.76176 20.002 0.000617 829.895 287.104 0.00008203161 0.00023705416 0.0000870716 0.0001023091 224393.200 190921.424 210063.471 1.03479 -6.59275 -0.07990 0.0002557287 -0.82607 21.006 0.000648 829.754 287.176 0.00008152355 0.00023764178 0.0000865692 0.0001025380 224259.784 191015.146 209878.000 1.08640 -6.92453 -0.08217 0.0002554552 -0.89499 22.010 0.000679 829.623 287.255 0.00008101451 0.00023822456 0.0000860627 0.0001027581 224135.383 191125.691 209706.093 1.13787 -7.25597 -0.08427 0.0002551689 -0.96639 23.015 0.000710 829.501 287.340 0.00008050458 0.00023880241 0.0000855525 0.0001029693 224019.919 191253.043 209547.742 1.18921 -7.58701 -0.08621 0.0002548699 -1.04026 24.019 0.000741 829.388 287.432 0.00007999386 0.00023937525 0.0000850387 0.0001031716 223913.319 191397.191 209402.946 1.24040 -7.91760 -0.08798 0.0002545583 -1.11658 25.024 0.000772 829.285 287.530 0.00007948243 0.00023994297 0.0000845214 0.0001033648 223815.509 191558.124 209271.702 1.29142 -8.24768 -0.08958 0.0002542342 -1.19531 26.028 0.000803 829.191 287.635 0.00007897040 0.00024050549 0.0000840008 0.0001035489 223726.418 191735.832 209154.009 1.34226 -8.57718 -0.09102 0.0002538977 -1.27645 27.000 0.000833 829.108 287.743 0.00007847439 0.00024104482 0.0000834940 0.0001037183 223648.437 191923.773 209053.018 1.39128 -8.89546 -0.09226 0.0002535603 -1.35724 28.004 0.000864 829.032 287.861 0.00007796144 0.00024159681 0.0000829674 0.0001038843 223576.304 192134.469 208962.001 1.44173 -9.22366 -0.09337 0.0002531997 -1.44305 29.009 0.000895 828.965 287.985 0.00007744817 0.00024214331 0.0000824379 0.0001040411 223512.693 192361.922 208884.548 1.49196 -9.55111 -0.09432 0.0002528270 -1.53119 30.013 0.000926 828.906 288.116 0.00007693468 0.00024268420 0.0000819058 0.0001041885 223457.541 192606.128 208820.669 1.54195 -9.87775 -0.09510 0.0002524423 -1.62166 31.018 0.000957 828.857 288.253 0.00007642106 0.00024321939 0.0000813711 0.0001043267 223410.790 192867.085 208770.376 1.59170 -10.20351 -0.09572 0.0002520458 -1.71443 32.022 0.000988 828.816 288.396 0.00007590743 0.00024374877 0.0000808341 0.0001044554 223372.384 193144.792 208733.683 1.64118 -10.52832 -0.09616 0.0002516375 -1.80947 33.026 0.001019 828.784 288.546 0.00007539388 0.00024427221 0.0000802950 0.0001045747 223342.272 193439.247 208710.609 1.69039 -10.85213 -0.09645 0.0002512177 -1.90676 34.031 0.001050 828.761 288.702 0.00007488051 0.00024478962 0.0000797538 0.0001046845 223320.405 193750.452 208701.174 1.73930 -11.17485 -0.09656 0.0002507863 -2.00629 35.003 0.001080 828.747 288.859 0.00007438399 0.00024528448 0.0000792284 0.0001047817 223307.053 194067.565 208705.053 1.78634 -11.48608 -0.09652 0.0002503581 -2.10471 36.007 0.001111 828.740 289.028 0.00007387131 0.00024578967 0.0000786837 0.0001048728 223301.286 194411.730 208722.531 1.83463 -11.80649 -0.09630 0.0002499046 -2.20856 37.012 0.001142 828.743 289.203 0.00007335913 0.00024628846 0.0000781376 0.0001049543 223303.645 194772.647 208753.732 1.88259 -12.12561 -0.09592 0.0002494400 -2.31458 38.016 0.001173 828.754 289.384 0.00007284757 0.00024678073 0.0000775901 0.0001050263 223314.102 195150.318 208798.692 1.93019 -12.44338 -0.09537 0.0002489644 -2.42275 39.020 0.001204 828.773 289.571 0.00007233674 0.00024726636 0.0000770415 0.0001050886 223332.631 195544.743 208857.451 1.97741 -12.75973 -0.09465 0.0002484781 -2.53303 40.025 0.001235 828.801 289.764 0.00007182676 0.00024774520 0.0000764918 0.0001051413 223359.212 195955.923 208930.054 2.02426 -13.07457 -0.09376 0.0002479811 -2.64541 41.029 0.001266 828.838 289.964 0.00007131773 0.00024821712 0.0000759413 0.0001051844 223393.834 196383.859 209016.550 2.07070 -13.38783 -0.09270 0.0002474737 -2.75987 42.001 0.001296 828.882 290.162 0.00007082614 0.00024866711 0.0000754079 0.0001052169 223434.990 196813.943 209113.537 2.11525 -13.68941 -0.09152 0.0002469728 -2.87259 43.006 0.001327 828.935 290.374 0.00007031935 0.00024912500 0.0000748562 0.0001052409 223485.423 197274.845 209227.541 2.16085 -13.99934 -0.09012 0.0002464452 -2.99106 44.010 0.001358 828.997 290.591 0.00006981386 0.00024957555 0.0000743042 0.0001052553 223543.900 197752.496 209355.618 2.20600 -14.30746 -0.08856 0.0002459075 -3.11153 45.014 0.001389 829.067 290.814 0.00006930980 0.00025001859 0.0000737520 0.0001052600 223610.439 198246.890 209497.844 2.25068 -14.61369 -0.08682 0.0002453601 -3.23399 46.019 0.001420 829.146 291.043 0.00006880731 0.00025045398 0.0000731999 0.0001052550 223685.064 198758.019 209654.297 2.29487 -14.91793 -0.08490 0.0002448029 -3.35841 47.023 0.001451 829.233 291.278 0.00006830650 0.00025088154 0.0000726479 0.0001052404 223767.812 199285.872 209825.066 2.33856 -15.22012 -0.08281 0.0002442363 -3.48476 48.028 0.001482 829.329 291.519 0.00006780750 0.00025130110 0.0000720962 0.0001052160 223858.728 199830.437 210010.244 2.38172 -15.52015 -0.08055 0.0002436603 -3.61302 49.032 0.001513 829.434 291.766 0.00006731045 0.00025171249 0.0000715451 0.0001051820 223957.867 200391.697 210209.936 2.42435 -15.81794 -0.07811 0.0002430751 -3.74317 50.004 0.001543 829.543 292.010 0.00006683140 0.00025210267 0.0000710124 0.0001051399 224061.701 200950.726 210417.111 2.46506 -16.10391 -0.07557 0.0002425003 -3.87089 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0.0002572766 1.03453 348.019 0.010741 839.554 288.436 0.00009720425 0.00021628333 0.0001001723 0.0000909250 233812.730 196911.783 223114.148 5.09032 3.84353 4.70129 0.0002574454 1.05696 349.024 0.010772 839.080 288.281 0.00009677100 0.00021698452 0.0000998674 0.0000913854 233349.323 196448.792 222489.510 5.14008 3.52781 4.69365 0.0002576008 1.07637 350.028 0.010803 838.616 288.132 0.00009633419 0.00021768326 0.0000995544 0.0000918403 232897.543 196004.312 221878.884 5.19005 3.21084 4.68618 0.0002577427 1.09277 351.000 0.010833 838.178 287.996 0.00009590815 0.00021835707 0.0000992440 0.0000922753 232471.333 195591.709 221301.289 5.23860 2.90295 4.67911 0.0002578673 1.10580 352.004 0.010864 837.737 287.863 0.00009546455 0.00021905078 0.0000989155 0.0000927191 232042.206 195183.391 220718.212 5.28895 2.58366 4.67198 0.0002579827 1.11634 353.009 0.010895 837.306 287.737 0.00009501761 0.00021974183 0.0000985793 0.0000931572 231624.475 194793.320 220149.123 5.33949 2.26326 4.66502 0.0002580845 1.12390 354.013 0.010926 836.887 287.619 0.00009456742 0.00022043015 0.0000982355 0.0000935893 231218.062 194421.414 219594.011 5.39021 1.94180 4.65823 0.0002581728 1.12851 355.018 0.010957 836.479 287.508 0.00009411404 0.00022111566 0.0000978842 0.0000940152 230822.887 194067.589 219052.865 5.44110 1.61932 4.65161 0.0002582474 1.13019 356.022 0.010988 836.082 287.405 0.00009365755 0.00022179829 0.0000975254 0.0000944350 230438.870 193731.768 218525.672 5.49214 1.29587 4.64516 0.0002583084 1.12893 357.026 0.011019 835.696 287.309 0.00009319804 0.00022247797 0.0000971593 0.0000948484 230065.929 193413.873 218012.418 5.54334 0.97150 4.63888 0.0002583558 1.12476 358.031 0.011050 835.320 287.220 0.00009273557 0.00022315462 0.0000967861 0.0000952554 229703.984 193113.830 217513.089 5.59468 0.64626 4.63277 0.0002583894 1.11769 359.003 0.011080 834.968 287.142 0.00009228528 0.00022380651 0.0000964181 0.0000956429 229364.106 192840.395 217043.112 5.64448 0.33073 4.62702 0.0002584090 1.10811 360.007 0.011111 834.614 287.067 0.00009181724 0.00022447702 0.0000960310 0.0000960367 229023.557 192575.273 216571.137 5.69607 0.00391 4.62125 0.0002584157 1.09537 Engine speed (Hz) = 90.0000000000 Output power (W) = 98.5424999897 Heat into heater (W) = 512.6461092747 Heat to regenerator (W) = 0.3515164028 Heat removal from cooler (W) = 415.9123278500 Approximate Pumping loss (W) = -407.9250328193 Thermal efficiency (%) = 19.2223247591 The average engine pressure (Pa) = 276250.0378123277 The exp space work per cycle (J) = 5.7065403630 The comp space work per cycle (J) = -4.6116236964 The net work per cycle (J) = 1.0949166666 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.6744688540 The expansion work for Vmin-to-Vmax (J) = 24.7693855206 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.031 0.000001 835.557 287.113 0.00009190641 0.00022426660 0.0000960219 0.0000960458 229526.671 192406.800 216853.796 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.013 0.000031 835.225 287.047 0.00009144637 0.00022491912 0.0000956364 0.0000964243 229207.394 192165.298 216405.067 0.05010 -0.32016 -0.00549 0.0002584088 -0.01554 2.029 0.000062 834.893 286.987 0.00009096831 0.00022559011 0.0000952313 0.0000968085 228888.151 191933.468 215955.292 0.10198 -0.65170 -0.01099 0.0002583878 -0.03447 3.012 0.000092 834.582 286.936 0.00009050314 0.00022623623 0.0000948328 0.0000971734 228589.456 191726.206 215533.470 0.15227 -0.97318 -0.01615 0.0002583542 -0.05553 4.027 0.000123 834.272 286.890 0.00009001994 0.00022690046 0.0000944145 0.0000975432 228291.309 191529.635 215111.463 0.20432 -1.30600 -0.02131 0.0002583057 -0.08013 5.010 0.000153 833.981 286.853 0.00008954994 0.00022753989 0.0000940035 0.0000978940 228012.861 191356.384 214716.479 0.25476 -1.62863 -0.02615 0.0002582455 -0.10665 6.026 0.000184 833.692 286.822 0.00008906190 0.00022819707 0.0000935726 0.0000982490 227735.462 191194.847 214322.169 0.30694 -1.96253 -0.03097 0.0002581696 -0.13685 7.008 0.000214 833.422 286.799 0.00008858737 0.00022882954 0.0000931496 0.0000985852 227476.926 191055.397 213953.953 0.35749 -2.28612 -0.03547 0.0002580829 -0.16877 8.024 0.000245 833.153 286.782 0.00008809482 0.00022947939 0.0000927066 0.0000989250 227219.927 190928.689 213587.267 0.40977 -2.62091 -0.03996 0.0002579796 -0.20452 9.007 0.000275 832.903 286.772 0.00008761609 0.00023010462 0.0000922722 0.0000992463 226980.964 190822.852 213245.750 0.46039 -2.94526 -0.04414 0.0002578664 -0.24177 10.022 0.000306 832.655 286.770 0.00008711934 0.00023074684 0.0000918175 0.0000995704 226744.017 190730.786 212906.615 0.51271 -3.28074 -0.04829 0.0002577359 -0.28298 11.005 0.000336 832.425 286.774 0.00008663671 0.00023136454 0.0000913722 0.0000998763 226524.289 190658.392 212591.727 0.56335 -3.60566 -0.05214 0.0002575965 -0.32549 12.021 0.000367 832.197 286.785 0.00008613610 0.00023199884 0.0000909065 0.0001001844 226307.043 190600.805 212280.075 0.61568 -3.94164 -0.05595 0.0002574389 -0.37211 13.004 0.000397 831.986 286.803 0.00008564989 0.00023260873 0.0000904508 0.0001004746 226106.213 190561.705 211991.749 0.66631 -4.26694 -0.05948 0.0002572734 -0.41982 14.019 0.000428 831.778 286.828 0.00008514575 0.00023323480 0.0000899747 0.0001007662 225908.320 190538.451 211707.513 0.71859 -4.60320 -0.06295 0.0002570889 -0.47176 15.002 0.000458 831.587 286.860 0.00008465628 0.00023383657 0.0000895091 0.0001010403 225726.050 190532.514 211445.688 0.76916 -4.92868 -0.06616 0.0002568974 -0.52459 16.017 0.000489 831.399 286.899 0.00008414895 0.00023445410 0.0000890231 0.0001013152 225547.165 190543.468 211188.806 0.82136 -5.26502 -0.06930 0.0002566863 -0.58179 17.000 0.000519 831.226 286.944 0.00008365656 0.00023504746 0.0000885482 0.0001015729 225383.123 190570.581 210953.427 0.87181 -5.59048 -0.07218 0.0002564691 -0.63967 18.016 0.000550 831.058 286.996 0.00008314637 0.00023565613 0.0000880529 0.0001018307 225222.903 190615.637 210723.844 0.92387 -5.92669 -0.07499 0.0002562316 -0.70205 19.031 0.000581 830.899 287.056 0.00008263487 0.00023626017 0.0000875531 0.0001020796 225072.038 190677.988 210508.118 0.97585 -6.26276 -0.07763 0.0002559807 -0.76703 20.014 0.000611 830.754 287.121 0.00008213870 0.00023684023 0.0000870654 0.0001023120 224934.868 190754.775 210312.532 1.02605 -6.58778 -0.08002 0.0002557254 -0.83238 21.030 0.000642 830.614 287.194 0.00008162487 0.00023743491 0.0000865572 0.0001025433 224802.163 190851.100 210124.039 1.07781 -6.92339 -0.08233 0.0002554486 -0.90242 22.013 0.000672 830.488 287.272 0.00008112663 0.00023800575 0.0000860616 0.0001027586 224682.409 190960.733 209954.792 1.12779 -7.24787 -0.08440 0.0002551683 -0.97263 23.028 0.000703 830.367 287.359 0.00008061085 0.00023859072 0.0000855457 0.0001029721 224567.539 191090.968 209793.501 1.17929 -7.58279 -0.08637 0.0002548658 -1.04765 24.011 0.000733 830.258 287.449 0.00008011089 0.00023915200 0.0000850430 0.0001031699 224464.892 191233.393 209650.569 1.22899 -7.90649 -0.08812 0.0002545609 -1.12264 25.026 0.000764 830.156 287.549 0.00007959351 0.00023972690 0.0000845199 0.0001033653 224367.544 191397.492 209516.464 1.28018 -8.24050 -0.08976 0.0002542332 -1.20256 26.009 0.000794 830.065 287.653 0.00007909219 0.00024027825 0.0000840105 0.0001035455 224281.706 191572.669 209399.836 1.32954 -8.56321 -0.09118 0.0002539041 -1.28225 27.025 0.000825 829.980 287.766 0.00007857360 0.00024084270 0.0000834810 0.0001037225 224201.580 191770.596 209292.912 1.38037 -8.89607 -0.09249 0.0002535515 -1.36699 28.008 0.000855 829.907 287.882 0.00007807129 0.00024138376 0.0000829657 0.0001038848 224132.268 191978.499 209202.593 1.42935 -9.21755 -0.09360 0.0002531985 -1.45129 29.023 0.000886 829.840 288.009 0.00007755187 0.00024193738 0.0000824303 0.0001040433 224069.079 192210.235 209122.863 1.47975 -9.54902 -0.09457 0.0002528216 -1.54076 30.006 0.000916 829.784 288.137 0.00007704895 0.00024246774 0.0000819096 0.0001041875 224016.028 192450.849 209058.875 1.52831 -9.86903 -0.09536 0.0002524451 -1.62960 31.022 0.000947 829.735 288.277 0.00007652910 0.00024301012 0.0000813690 0.0001043272 223969.514 192716.381 209006.372 1.57823 -10.19886 -0.09600 0.0002520442 -1.72372 32.004 0.000977 829.696 288.418 0.00007602596 0.00024352940 0.0000808436 0.0001044532 223932.480 192989.701 208968.756 1.62629 -10.51716 -0.09646 0.0002516448 -1.81701 33.020 0.001008 829.664 288.571 0.00007550608 0.00024406009 0.0000802985 0.0001045739 223902.399 193289.030 208943.534 1.67568 -10.84508 -0.09677 0.0002512204 -1.91568 34.003 0.001038 829.641 288.724 0.00007500311 0.00024456786 0.0000797690 0.0001046815 223881.162 193595.057 208932.353 1.72320 -11.16141 -0.09690 0.0002507985 -2.01334 35.018 0.001069 829.627 288.889 0.00007448363 0.00024508642 0.0000792200 0.0001047832 223867.302 193928.188 208934.491 1.77200 -11.48716 -0.09688 0.0002503512 -2.11648 36.001 0.001099 829.621 289.055 0.00007398125 0.00024558223 0.0000786871 0.0001048723 223861.671 194266.930 208949.835 1.81891 -11.80126 -0.09669 0.0002499074 -2.21842 37.017 0.001130 829.623 289.233 0.00007346258 0.00024608819 0.0000781349 0.0001049547 223863.854 194633.871 208979.439 1.86705 -12.12457 -0.09633 0.0002494376 -2.32594 38.032 0.001161 829.634 289.417 0.00007294451 0.00024658756 0.0000775813 0.0001050274 223874.131 195017.999 209023.051 1.91484 -12.44652 -0.09579 0.0002489567 -2.43565 39.015 0.001191 829.652 289.601 0.00007244381 0.00024706442 0.0000770444 0.0001050883 223891.756 195406.102 209078.632 1.96073 -12.75673 -0.09511 0.0002484807 -2.54388 40.031 0.001222 829.680 289.798 0.00007192722 0.00024755042 0.0000764886 0.0001051416 223917.878 195824.056 209149.931 2.00777 -13.07581 -0.09424 0.0002479782 -2.65783 41.013 0.001252 829.714 289.994 0.00007142819 0.00024801408 0.0000759500 0.0001051838 223950.796 196244.898 209232.394 2.05291 -13.38308 -0.09323 0.0002474818 -2.77012 42.029 0.001283 829.759 290.203 0.00007091356 0.00024848616 0.0000753927 0.0001052177 223992.691 196696.684 209331.573 2.09914 -13.69897 -0.09202 0.0002469583 -2.88821 43.012 0.001313 829.809 290.411 0.00007041665 0.00024893608 0.0000748529 0.0001052410 224040.856 197150.267 209441.125 2.14346 -14.00301 -0.09068 0.0002464419 -3.00447 44.027 0.001344 829.870 290.632 0.00006990444 0.00024939368 0.0000742947 0.0001052555 224098.506 197635.884 209568.419 2.18881 -14.31539 -0.08912 0.0002458982 -3.12662 45.010 0.001374 829.937 290.851 0.00006941012 0.00024982929 0.0000737544 0.0001052600 224161.932 198122.200 209705.311 2.23225 -14.61589 -0.08745 0.0002453624 -3.24675 46.026 0.001405 830.015 291.084 0.00006890084 0.00025027178 0.0000731961 0.0001052550 224235.383 198641.631 209861.005 2.27666 -14.92445 -0.08554 0.0002447991 -3.37286 47.008 0.001435 830.098 291.316 0.00006840958 0.00025069246 0.0000726560 0.0001052406 224314.148 199160.657 210025.539 2.31914 -15.22107 -0.08353 0.0002442447 -3.49678 48.024 0.001466 830.192 291.561 0.00006790373 0.00025111919 0.0000720982 0.0001052161 224403.517 199713.868 210209.974 2.36253 -15.52546 -0.08127 0.0002436624 -3.62675 49.007 0.001496 830.291 291.803 0.00006741605 0.00025152429 0.0000715589 0.0001051830 224497.773 200265.559 210402.508 2.40400 -15.81787 -0.07892 0.0002430899 -3.75436 50.022 0.001527 830.403 292.060 0.00006691415 0.00025193457 0.0000710023 0.0001051391 224603.261 200852.490 210616.089 2.44630 -16.11773 -0.07631 0.0002424894 -3.88810 51.005 0.001557 830.519 292.314 0.00006643054 0.00025232339 0.0000704645 0.0001050871 224713.246 201436.773 210837.050 2.48668 -16.40559 -0.07360 0.0002418997 -4.01931 52.021 0.001588 830.647 292.582 0.00006593314 0.00025271647 0.0000699098 0.0001050238 224835.148 202057.330 211080.254 2.52781 -16.70054 -0.07063 0.0002412816 -4.15671 53.004 0.001618 830.780 292.846 0.00006545415 0.00025308827 0.0000693741 0.0001049532 224961.198 202674.094 211330.146 2.56703 -16.98347 -0.06757 0.0002406753 -4.29142 54.019 0.001649 830.926 293.126 0.00006496180 0.00025346335 0.0000688219 0.0001048705 225099.915 203328.140 211603.539 2.60692 -17.27313 -0.06423 0.0002400405 -4.43239 55.002 0.001679 831.076 293.401 0.00006448798 0.00025381731 0.0000682890 0.0001047813 225242.477 203977.227 211882.955 2.64489 -17.55074 -0.06081 0.0002394183 -4.57051 56.017 0.001710 831.240 293.692 0.00006400125 0.00025417352 0.0000677401 0.0001046794 225398.537 204664.569 212187.202 2.68345 -17.83470 -0.05709 0.0002387675 -4.71495 57.000 0.001740 831.408 293.978 0.00006353317 0.00025450878 0.0000672106 0.0001045716 225558.186 205345.760 212496.842 2.72009 -18.10659 -0.05330 0.0002381302 -4.85637 58.016 0.001771 831.591 294.279 0.00006305268 0.00025484519 0.0000666655 0.0001044507 225732.255 206066.135 212832.730 2.75724 -18.38441 -0.04919 0.0002374643 -5.00418 59.031 0.001802 831.783 294.586 0.00006257560 0.00025517114 0.0000661227 0.0001043201 225915.784 206803.169 213185.044 2.79364 -18.65895 -0.04488 0.0002367908 -5.15366 60.014 0.001832 831.979 294.888 0.00006211731 0.00025547637 0.0000655996 0.0001041846 226102.624 207532.191 213541.880 2.82812 -18.92138 -0.04051 0.0002361323 -5.29989 61.030 0.001863 832.192 295.205 0.00006164741 0.00025578094 0.0000650617 0.0001040352 226305.487 208301.685 213927.304 2.86297 -19.18907 -0.03580 0.0002354449 -5.45259 62.013 0.001893 832.408 295.516 0.00006119639 0.00025606491 0.0000645437 0.0001038816 226511.557 209061.879 214316.742 2.89590 -19.44465 -0.03104 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0.0002584092 1.03715 360.030 0.010990 835.401 287.076 0.00009191400 0.00022426955 0.0000960221 0.0000960456 229502.384 192385.309 216829.228 5.65036 0.00303 4.64659 0.0002584157 1.02397 Engine speed (Hz) = 91.0000000000 Output power (W) = 93.1378762846 Heat into heater (W) = 514.1825241770 Heat to regenerator (W) = 0.2759966806 Heat removal from cooler (W) = 422.8392553919 Approximate Pumping loss (W) = -419.6391495698 Thermal efficiency (%) = 18.1137770938 The average engine pressure (Pa) = 276337.4707831640 The exp space work per cycle (J) = 5.6604243040 The comp space work per cycle (J) = -4.6369311581 The net work per cycle (J) = 1.0234931460 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.7131123750 The expansion work for Vmin-to-Vmax (J) = 24.7366055210 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.020 0.000001 836.357 287.122 0.00009201838 0.00022403717 0.0000960260 0.0000960417 230016.692 192224.575 217127.612 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.014 0.000031 836.026 287.056 0.00009155397 0.00022469643 0.0000956363 0.0000964245 229697.407 191980.798 216673.373 0.05023 -0.32329 -0.00556 0.0002584088 -0.01596 2.007 0.000061 835.705 286.997 0.00009108691 0.00022535255 0.0000952400 0.0000968004 229388.462 191754.297 216232.637 0.10056 -0.64729 -0.01095 0.0002583884 -0.03471 3.001 0.000091 835.394 286.946 0.00009061727 0.00022600546 0.0000948372 0.0000971694 229089.770 191545.013 215805.388 0.15098 -0.97197 -0.01617 0.0002583546 -0.05622 4.028 0.000122 835.084 286.900 0.00009012935 0.00022667669 0.0000944143 0.0000975434 228791.802 191346.777 215378.048 0.20317 -1.30811 -0.02140 0.0002583057 -0.08135 5.021 0.000152 834.795 286.862 0.00008965471 0.00022732286 0.0000939988 0.0000978979 228513.695 191172.325 214978.169 0.25374 -1.63400 -0.02629 0.0002582448 -0.10846 6.015 0.000182 834.515 286.832 0.00008917772 0.00022796562 0.0000935772 0.0000982453 228245.581 191014.922 214591.723 0.30437 -1.96042 -0.03102 0.0002581705 -0.13828 7.008 0.000212 834.246 286.809 0.00008869846 0.00022860490 0.0000931496 0.0000985852 227987.373 190874.520 214218.694 0.35505 -2.28731 -0.03559 0.0002580829 -0.17082 8.002 0.000242 833.986 286.792 0.00008821700 0.00022924062 0.0000927162 0.0000989177 227738.985 190751.071 213859.064 0.40577 -2.61464 -0.03998 0.0002579820 -0.20604 9.029 0.000273 833.729 286.783 0.00008771728 0.00022989372 0.0000922624 0.0000992534 227492.542 190641.270 213501.503 0.45821 -2.95329 -0.04436 0.0002578638 -0.24524 10.022 0.000303 833.490 286.781 0.00008723161 0.00023052199 0.0000918175 0.0000995704 227263.853 190552.157 213169.062 0.50898 -3.28135 -0.04843 0.0002577359 -0.28589 11.016 0.000333 833.260 286.785 0.00008674398 0.00023114650 0.0000913673 0.0000998796 227044.721 190479.871 212849.967 0.55976 -3.60970 -0.05233 0.0002575949 -0.32917 12.010 0.000363 833.041 286.797 0.00008625448 0.00023176716 0.0000909117 0.0001001810 226835.057 190424.372 212544.201 0.61054 -3.93830 -0.05607 0.0002574407 -0.37507 13.003 0.000393 832.831 286.815 0.00008576318 0.00023238391 0.0000904509 0.0001004745 226634.775 190385.628 212251.748 0.66130 -4.26708 -0.05965 0.0002572734 -0.42358 14.030 0.000424 832.624 286.841 0.00008525370 0.00023301703 0.0000899696 0.0001007693 226437.582 190363.158 211963.515 0.71372 -4.60697 -0.06317 0.0002570868 -0.47642 15.024 0.000454 832.434 286.873 0.00008475900 0.00023362559 0.0000894988 0.0001010463 226256.109 190358.382 211698.083 0.76442 -4.93599 -0.06642 0.0002568931 -0.53016 16.017 0.000484 832.253 286.912 0.00008426275 0.00023423001 0.0000890232 0.0001013151 226083.756 190370.268 211445.917 0.81508 -5.26505 -0.06950 0.0002566864 -0.58645 17.011 0.000514 832.081 286.958 0.00008376503 0.00023483021 0.0000885431 0.0001015756 225920.437 190398.793 211207.005 0.86567 -5.59410 -0.07243 0.0002564668 -0.64528 18.004 0.000544 831.919 287.010 0.00008326593 0.00023542612 0.0000880586 0.0001018278 225766.066 190443.931 210981.332 0.91619 -5.92308 -0.07519 0.0002562344 -0.70661 19.031 0.000575 831.761 287.071 0.00008274882 0.00023603729 0.0000875533 0.0001020795 225615.860 190508.007 210762.034 0.96831 -6.26291 -0.07787 0.0002559808 -0.77261 20.025 0.000605 831.617 287.137 0.00008224717 0.00023662422 0.0000870602 0.0001023144 225479.424 190586.866 210563.249 1.01866 -6.59161 -0.08030 0.0002557226 -0.83900 21.018 0.000635 831.483 287.209 0.00008174438 0.00023720661 0.0000865630 0.0001025408 225351.681 190682.282 210377.671 1.06889 -6.92008 -0.08257 0.0002554518 -0.90784 22.012 0.000665 831.357 287.288 0.00008124056 0.00023778437 0.0000860620 0.0001027585 225232.551 190794.241 210205.293 1.11901 -7.24828 -0.08468 0.0002551685 -0.97911 23.005 0.000695 831.241 287.374 0.00008073579 0.00023835743 0.0000855573 0.0001029674 225121.952 190922.730 210046.107 1.16900 -7.57614 -0.08663 0.0002548727 -1.05279 24.032 0.000726 831.130 287.469 0.00008021329 0.00023894455 0.0000850320 0.0001031741 225016.544 191072.856 209895.471 1.22051 -7.91453 -0.08847 0.0002545542 -1.13145 25.026 0.000756 831.031 287.568 0.00007970686 0.00023950776 0.0000845203 0.0001033652 224923.047 191234.925 209763.097 1.27019 -8.24155 -0.09009 0.0002542335 -1.20998 26.019 0.000786 830.941 287.673 0.00007919975 0.00024006600 0.0000840053 0.0001035473 224837.845 191413.496 209643.906 1.31971 -8.56808 -0.09155 0.0002539006 -1.29087 27.013 0.000816 830.860 287.784 0.00007869205 0.00024061917 0.0000834872 0.0001037205 224760.862 191608.563 209537.898 1.36904 -8.89404 -0.09285 0.0002535557 -1.37409 28.007 0.000846 830.788 287.903 0.00007818386 0.00024116717 0.0000829662 0.0001038847 224692.025 191820.123 209445.074 1.41818 -9.21938 -0.09398 0.0002531989 -1.45962 29.000 0.000876 830.723 288.027 0.00007767528 0.00024170992 0.0000824425 0.0001040398 224631.265 192048.173 209365.439 1.46711 -9.54405 -0.09496 0.0002528303 -1.54745 30.027 0.000907 830.666 288.162 0.00007714942 0.00024226513 0.0000818985 0.0001041905 224576.891 192301.145 209297.013 1.51744 -9.87876 -0.09579 0.0002524370 -1.64059 31.020 0.000937 830.619 288.300 0.00007664032 0.00024279688 0.0000813696 0.0001043270 224532.345 192562.721 209244.220 1.56591 -10.20186 -0.09644 0.0002520446 -1.73300 32.014 0.000967 830.580 288.443 0.00007613111 0.00024332306 0.0000808384 0.0001044544 224495.676 192840.784 209204.643 1.61413 -10.52410 -0.09692 0.0002516408 -1.82765 33.008 0.000997 830.550 288.593 0.00007562190 0.00024384357 0.0000803051 0.0001045725 224466.824 193135.338 209178.298 1.66209 -10.84541 -0.09724 0.0002512256 -1.92450 34.001 0.001027 830.527 288.749 0.00007511278 0.00024435831 0.0000797698 0.0001046814 224445.735 193446.385 209165.203 1.70977 -11.16574 -0.09740 0.0002507992 -2.02354 35.028 0.001058 830.513 288.917 0.00007458690 0.00024488401 0.0000792147 0.0001047841 224432.041 193785.130 209165.612 1.75874 -11.49562 -0.09740 0.0002503469 -2.12815 36.022 0.001088 830.507 289.086 0.00007407830 0.00024538665 0.0000786759 0.0001048740 224426.576 194129.722 209179.524 1.80581 -11.81372 -0.09723 0.0002498980 -2.23156 37.015 0.001118 830.509 289.261 0.00007357010 0.00024588316 0.0000781356 0.0001049546 224428.727 194490.818 209206.760 1.85257 -12.13063 -0.09690 0.0002494383 -2.33709 38.009 0.001148 830.519 289.442 0.00007306242 0.00024637343 0.0000775940 0.0001050258 224438.453 194868.421 209247.350 1.89899 -12.44628 -0.09640 0.0002489679 -2.44471 39.002 0.001178 830.537 289.629 0.00007255537 0.00024685733 0.0000770513 0.0001050876 224455.721 195262.536 209301.330 1.94506 -12.76059 -0.09574 0.0002484869 -2.55441 40.029 0.001209 830.565 289.829 0.00007203218 0.00024735053 0.0000764894 0.0001051415 224481.456 195687.137 209371.219 1.99228 -13.08390 -0.09488 0.0002479790 -2.66992 41.023 0.001239 830.599 290.028 0.00007152674 0.00024782109 0.0000759448 0.0001051841 224513.975 196114.836 209452.555 2.03760 -13.39527 -0.09389 0.0002474770 -2.78376 42.016 0.001269 830.641 290.234 0.00007102226 0.00024828487 0.0000753996 0.0001052173 224553.966 196559.055 209547.417 2.08252 -13.70510 -0.09273 0.0002469649 -2.89961 43.010 0.001299 830.691 290.445 0.00007051886 0.00024874176 0.0000748538 0.0001052410 224601.420 197019.795 209655.860 2.12702 -14.01328 -0.09140 0.0002464429 -3.01744 44.004 0.001329 830.749 290.663 0.00007001666 0.00024919159 0.0000743078 0.0001052552 224656.332 197497.057 209777.946 2.17110 -14.31976 -0.08991 0.0002459110 -3.13723 45.030 0.001360 830.817 290.893 0.00006949909 0.00024964886 0.0000737433 0.0001052600 224720.917 198007.582 209918.503 2.21618 -14.63458 -0.08819 0.0002453514 -3.26305 46.024 0.001390 830.891 291.123 0.00006899969 0.00025008391 0.0000731971 0.0001052550 224791.022 198518.430 210068.539 2.25934 -14.93734 -0.08635 0.0002448001 -3.38675 47.017 0.001420 830.972 291.358 0.00006850184 0.00025051144 0.0000726510 0.0001052405 224868.627 199045.786 210232.439 2.30202 -15.23814 -0.08435 0.0002442395 -3.51234 48.011 0.001450 831.062 291.598 0.00006800569 0.00025093131 0.0000721053 0.0001052165 224953.765 199589.643 210410.290 2.34421 -15.53691 -0.08217 0.0002436698 -3.63979 49.005 0.001480 831.160 291.845 0.00006751134 0.00025134334 0.0000715601 0.0001051831 225046.478 200149.988 210602.188 2.38588 -15.83355 -0.07983 0.0002430912 -3.76909 50.031 0.001511 831.269 292.106 0.00006700256 0.00025176068 0.0000709974 0.0001051386 225150.296 200746.315 210815.350 2.42838 -16.13775 -0.07722 0.0002424840 -3.90460 51.025 0.001541 831.383 292.364 0.00006651230 0.00025215623 0.0000704537 0.0001050860 225258.588 201340.130 211036.139 2.46896 -16.42980 -0.07452 0.0002418877 -4.03757 52.019 0.001571 831.505 292.627 0.00006602426 0.00025254340 0.0000699110 0.0001050240 225374.652 201950.372 211271.317 2.50897 -16.71944 -0.07164 0.0002412829 -4.17230 53.012 0.001601 831.635 292.897 0.00006553856 0.00025292199 0.0000693694 0.0001049525 225498.580 202577.008 211521.020 2.54839 -17.00660 -0.06859 0.0002406699 -4.30878 54.006 0.001631 831.774 293.171 0.00006505534 0.00025329180 0.0000688292 0.0001048717 225630.477 203220.002 211785.391 2.58721 -17.29116 -0.06535 0.0002400489 -4.44698 55.032 0.001662 831.926 293.461 0.00006455877 0.00025366450 0.0000682725 0.0001047783 225775.271 203901.568 212074.152 2.62666 -17.58239 -0.06182 0.0002393988 -4.59157 56.026 0.001692 832.082 293.747 0.00006408104 0.00025401582 0.0000677354 0.0001046785 225923.760 204577.680 212368.849 2.66419 -17.86138 -0.05821 0.0002387619 -4.73319 57.020 0.001722 832.247 294.038 0.00006360623 0.00025435770 0.0000672002 0.0001045694 226080.635 205269.992 212678.737 2.70105 -18.13747 -0.05442 0.0002381176 -4.87646 58.013 0.001752 832.420 294.334 0.00006313448 0.00025468992 0.0000666669 0.0001044510 226246.069 205978.435 213004.018 2.73722 -18.41055 -0.05044 0.0002374659 -5.02135 59.007 0.001782 832.603 294.636 0.00006266595 0.00025501222 0.0000661358 0.0001043234 226420.258 206702.925 213344.912 2.77268 -18.68052 -0.04627 0.0002368072 -5.16784 60.000 0.001812 832.795 294.942 0.00006220080 0.00025532434 0.0000656069 0.0001041866 226603.417 207443.369 213701.661 2.80741 -18.94726 -0.04191 0.0002361415 -5.31591 61.027 0.001843 833.004 295.265 0.00006172385 0.00025563590 0.0000650630 0.0001040356 226802.358 208225.140 214087.237 2.84251 -19.21937 -0.03719 0.0002354466 -5.47053 62.021 0.001873 833.215 295.582 0.00006126604 0.00025592649 0.0000645393 0.0001038802 227004.521 208997.672 214477.060 2.87568 -19.47918 -0.03242 0.0002347676 -5.62172 63.014 0.001903 833.437 295.903 0.00006081209 0.00025620604 0.0000640184 0.0001037158 227216.460 209785.777 214883.615 2.90805 -19.73538 -0.02745 0.0002340822 -5.77440 64.008 0.001933 833.669 296.230 0.00006036217 0.00025647424 0.0000635004 0.0001035424 227438.501 210589.290 215307.249 2.93959 -19.98786 -0.02227 0.0002333908 -5.92855 65.002 0.001963 833.912 296.561 0.00005991646 0.00025673074 0.0000629855 0.0001033600 227671.000 211408.023 215748.345 2.97028 -20.23647 -0.01687 0.0002326935 -6.08415 66.028 0.001994 834.175 296.908 0.00005946049 0.00025698313 0.0000624568 0.0001031622 227922.653 212269.806 216222.943 3.00106 -20.48916 -0.01107 0.0002319670 -6.24643 67.022 0.002024 834.441 297.249 0.00005902387 0.00025721471 0.0000619487 0.0001029618 228177.672 213118.782 216700.910 3.02991 -20.72947 -0.00522 0.0002312585 -6.40489 68.016 0.002054 834.719 297.594 0.00005859202 0.00025743343 0.0000614441 0.0001027526 228444.471 213982.214 217197.789 3.05783 -20.96547 0.00086 0.0002305447 -6.56473 69.009 0.002084 835.010 297.942 0.00005816511 0.00025763883 0.0000609432 0.0001025346 228723.581 214859.766 217714.181 3.08476 -21.19698 0.00718 0.0002298258 -6.72590 70.003 0.002114 835.314 298.295 0.00005774336 0.00025783040 0.0000604461 0.0001023080 229015.591 215751.046 218250.774 3.11069 -21.42384 0.01374 0.0002291022 -6.88840 71.029 0.002145 835.642 298.664 0.00005731319 0.00025801325 0.0000599367 0.0001020649 229331.586 216685.966 218827.316 3.13637 -21.65318 0.02079 0.0002283496 -7.05766 72.023 0.002175 835.975 299.025 0.00005690259 0.00025817496 0.0000594480 0.0001018209 229651.936 217603.642 219407.569 3.16012 -21.86998 0.02789 0.0002276169 -7.22275 73.017 0.002205 836.323 299.389 0.00005649781 0.00025832093 0.0000589635 0.0001015685 229987.438 218533.345 220010.889 3.18272 -22.08151 0.03527 0.0002268801 -7.38908 74.010 0.002235 836.688 299.756 0.00005609911 0.00025845035 0.0000584835 0.0001013078 230339.045 219474.246 220638.645 3.20413 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0.00011391164 0.00016635349 0.0000982433 0.0000539403 300223.090 283715.077 300563.354 2.27280 19.60116 5.69279 0.0002185316 -8.36964 277.003 0.008364 901.131 319.852 0.00011396595 0.00016688997 0.0000985833 0.0000543679 298979.675 281786.000 299186.087 2.30202 19.53840 5.67594 0.0002192992 -8.14680 278.029 0.008395 900.020 319.145 0.00011400619 0.00016745433 0.0000989268 0.0000548158 297679.171 279808.703 297776.603 2.33192 19.46455 5.65870 0.0002200906 -7.91847 279.023 0.008425 898.923 318.465 0.00011402910 0.00016801000 0.0000992515 0.0000552550 296403.182 277911.700 296427.809 2.36054 19.38409 5.64220 0.0002208546 -7.69944 280.017 0.008455 897.797 317.789 0.00011403391 0.00016857491 0.0000995686 0.0000556999 295101.752 276031.911 295099.651 2.38873 19.29373 5.62595 0.0002216164 -7.48237 281.010 0.008485 896.663 317.117 0.00011402631 0.00016914893 0.0000998779 0.0000561501 293796.841 274170.228 293779.198 2.41694 19.19612 5.60980 0.0002223760 -7.26735 282.004 0.008515 895.536 316.450 0.00011401039 0.00016973168 0.0001001793 0.0000566057 292503.859 272326.916 292457.798 2.44541 19.09323 5.59363 0.0002231330 -7.05441 283.031 0.008546 894.379 315.767 0.00011398514 0.00017034257 0.0001004824 0.0000570818 291179.999 270441.673 291092.525 2.47508 18.98140 5.57693 0.0002239123 -6.83663 284.024 0.008576 893.266 315.110 0.00011395218 0.00017094182 0.0001007676 0.0000575477 289910.600 268636.358 289772.371 2.50406 18.86791 5.56078 0.0002246634 -6.62810 285.018 0.008606 892.159 314.459 0.00011391088 0.00017154863 0.0001010447 0.0000580185 288652.789 266850.085 288454.056 2.53329 18.74930 5.54466 0.0002254112 -6.42181 286.011 0.008636 891.059 313.814 0.00011386126 0.00017216266 0.0001013136 0.0000584940 287406.629 265083.094 287138.273 2.56277 18.62567 5.52856 0.0002261556 -6.21780 287.005 0.008666 889.966 313.175 0.00011380339 0.00017278359 0.0001015741 0.0000589741 286172.207 263335.630 285825.653 2.59251 18.49707 5.51250 0.0002268962 -6.01613 288.032 0.008697 888.845 312.520 0.00011373498 0.00017343214 0.0001018346 0.0000594749 284909.071 261550.683 284473.227 2.62352 18.35907 5.49596 0.0002276575 -5.81022 289.025 0.008727 887.766 311.893 0.00011366050 0.00017406615 0.0001020781 0.0000599638 283698.818 259843.651 283168.807 2.65379 18.22064 5.48000 0.0002283900 -5.61342 290.019 0.008757 886.696 311.272 0.00011357796 0.00017470616 0.0001023131 0.0000604570 282500.606 258156.845 281869.211 2.68433 18.07748 5.46410 0.0002291181 -5.41908 291.012 0.008787 885.633 310.657 0.00011348742 0.00017535190 0.0001025395 0.0000609541 281314.537 256490.479 280574.920 2.71515 17.92968 5.44827 0.0002298416 -5.22723 292.006 0.008817 884.578 310.050 0.00011338895 0.00017600310 0.0001027572 0.0000614551 280140.707 254844.752 279286.386 2.74624 17.77731 5.43251 0.0002305603 -5.03792 293.033 0.008848 883.496 309.429 0.00011327895 0.00017668146 0.0001029731 0.0000619766 278940.707 253166.048 277961.405 2.77867 17.61514 5.41630 0.0002312977 -4.84500 294.026 0.008878 882.457 308.835 0.00011316457 0.00017734299 0.0001031730 0.0000624850 277792.047 251562.850 276685.877 2.81034 17.45371 5.40069 0.0002320060 -4.66095 295.020 0.008908 881.426 308.248 0.00011304249 0.00017800922 0.0001033641 0.0000629967 276655.894 249980.816 275417.340 2.84229 17.28793 5.38518 0.0002327088 -4.47954 296.014 0.008938 880.404 307.668 0.00011291277 0.00017867993 0.0001035463 0.0000635117 275532.326 248420.091 274156.161 2.87455 17.11788 5.36975 0.0002334060 -4.30080 297.007 0.008968 879.391 307.096 0.00011277549 0.00017935490 0.0001037195 0.0000640298 274421.417 246880.807 272902.689 2.90709 16.94362 5.35441 0.0002340973 -4.12476 298.001 0.008998 878.386 306.531 0.00011263073 0.00018003390 0.0001038837 0.0000645507 273323.231 245363.080 271657.256 2.93995 16.76524 5.33918 0.0002347825 -3.95145 299.028 0.009029 877.357 305.955 0.00011247335 0.00018073955 0.0001040439 0.0000650920 272201.873 243817.518 270379.091 2.97421 16.57664 5.32354 0.0002354839 -3.77526 300.021 0.009059 876.370 305.405 0.00011231360 0.00018142612 0.0001041897 0.0000656185 271129.744 242343.925 269150.965 3.00769 16.39007 5.30852 0.0002361561 -3.60759 301.015 0.009089 875.393 304.863 0.00011214659 0.00018211610 0.0001043263 0.0000661473 270070.509 240892.159 267931.796 3.04147 16.19958 5.29360 0.0002368216 -3.44272 302.008 0.009119 874.424 304.329 0.00011197240 0.00018280930 0.0001044537 0.0000666785 269024.213 239462.281 266721.857 3.07558 16.00524 5.27880 0.0002374802 -3.28069 303.002 0.009149 873.465 303.802 0.00011179112 0.00018350553 0.0001045719 0.0000672118 267990.896 238054.342 265521.411 3.11000 15.80710 5.26412 0.0002381317 -3.12152 304.029 0.009180 872.485 303.266 0.00011159641 0.00018422795 0.0001046843 0.0000677650 266936.808 236622.559 264291.187 3.14590 15.59846 5.24907 0.0002387973 -2.96006 305.022 0.009210 871.545 302.756 0.00011140092 0.00018492978 0.0001047836 0.0000683022 265929.985 235259.331 263110.800 3.18098 15.39283 5.23463 0.0002394337 -2.80675 306.016 0.009240 870.615 302.253 0.00011119857 0.00018563408 0.0001048735 0.0000688410 264936.233 233918.121 261940.630 3.21638 15.18360 5.22031 0.0002400625 -2.65636 307.009 0.009270 869.695 301.759 0.00011098942 0.00018634071 0.0001049542 0.0000693812 263955.573 232598.931 260780.891 3.25211 14.97086 5.20613 0.0002406834 -2.50891 308.003 0.009300 868.785 301.272 0.00011077357 0.00018704948 0.0001050254 0.0000699228 262988.021 231301.757 259631.792 3.28817 14.75465 5.19207 0.0002412962 -2.36441 309.030 0.009331 867.855 300.778 0.00011054355 0.00018778396 0.0001050891 0.0000704837 262002.001 229984.455 258455.775 3.32578 14.52766 5.17768 0.0002419208 -2.21821 310.023 0.009361 866.965 300.308 0.00011031429 0.00018849660 0.0001051413 0.0000710274 261061.136 228731.988 257328.905 3.36252 14.30460 5.16390 0.0002425167 -2.07975 311.017 0.009391 866.086 299.847 0.00011007855 0.00018921091 0.0001051839 0.0000715720 260133.404 227501.462 256213.243 3.39959 14.07827 5.15025 0.0002431039 -1.94429 312.011 0.009421 865.216 299.393 0.00010983641 0.00018992674 0.0001052171 0.0000721173 259218.806 226292.836 255108.956 3.43700 13.84872 5.13674 0.0002436824 -1.81184 313.004 0.009451 864.357 298.948 0.00010958795 0.00019064395 0.0001052409 0.0000726630 258317.338 225106.061 254016.207 3.47475 13.61602 5.12337 0.0002442519 -1.68241 314.031 0.009482 863.481 298.496 0.00010932465 0.00019138635 0.0001052555 0.0000732273 257399.607 223902.625 252899.316 3.51410 13.37231 5.10971 0.0002448308 -1.55185 315.024 0.009512 862.643 298.068 0.00010906357 0.00019210590 0.0001052600 0.0000737735 256524.813 222760.103 251830.489 3.55253 13.13337 5.09664 0.0002453815 -1.42859 316.018 0.009542 861.816 297.648 0.00010879641 0.00019282641 0.0001052550 0.0000743197 255663.117 221639.246 250773.639 3.59130 12.89146 5.08371 0.0002459228 -1.30838 317.012 0.009572 860.999 297.236 0.00010852324 0.00019354773 0.0001052406 0.0000748658 254814.503 220539.979 249728.896 3.63040 12.64663 5.07093 0.0002464544 -1.19122 318.005 0.009602 860.193 296.832 0.00010824413 0.00019426974 0.0001052167 0.0000754115 253978.952 219462.224 248696.384 3.66984 12.39893 5.05830 0.0002469762 -1.07713 319.032 0.009633 859.372 296.423 0.00010794957 0.00019501641 0.0001051820 0.0000759749 253129.247 218371.055 247642.426 3.71095 12.14004 5.04540 0.0002475050 -0.96246 320.026 0.009663 858.588 296.036 0.00010765864 0.00019573942 0.0001051389 0.0000765195 252320.182 217336.779 246635.132 3.75108 11.88670 5.03308 0.0002480064 -0.85462 321.019 0.009693 857.814 295.658 0.00010736201 0.00019646276 0.0001050863 0.0000770632 251524.102 216323.750 245640.401 3.79153 11.63066 5.02091 0.0002484975 -0.74986 322.013 0.009723 857.052 295.287 0.00010705975 0.00019718628 0.0001050243 0.0000776059 250740.975 215331.873 244658.330 3.83232 11.37199 5.00890 0.0002489783 -0.64818 323.006 0.009753 856.301 294.925 0.00010675194 0.00019790989 0.0001049529 0.0000781475 249970.768 214361.051 243689.009 3.87344 11.11073 4.99704 0.0002494484 -0.54959 324.000 0.009783 855.560 294.571 0.00010643866 0.00019863346 0.0001048722 0.0000786877 249213.445 213411.181 242732.525 3.91489 10.84694 4.98534 0.0002499079 -0.45409 325.027 0.009814 854.806 294.214 0.00010610926 0.00019938100 0.0001047789 0.0000792444 248444.372 212451.553 241757.728 3.95806 10.57176 4.97341 0.0002503713 -0.35865 326.020 0.009844 854.088 293.876 0.00010578509 0.00020010417 0.0001046791 0.0000797815 247713.125 211543.969 240827.585 4.00017 10.30299 4.96204 0.0002508086 -0.26943 327.014 0.009874 853.381 293.547 0.00010545567 0.00020082698 0.0001045700 0.0000803167 246994.639 210657.020 239910.506 4.04259 10.03185 4.95082 0.0002512348 -0.18331 328.008 0.009904 852.685 293.226 0.00010512108 0.00020154932 0.0001044517 0.0000808500 246288.869 209790.597 239006.555 4.08534 9.75838 4.93976 0.0002516498 -0.10028 329.001 0.009934 852.000 292.913 0.00010478140 0.00020227110 0.0001043242 0.0000813812 245595.767 208944.592 238115.791 4.12841 9.48265 4.92886 0.0002520533 -0.02034 330.028 0.009965 851.304 292.599 0.00010442512 0.00020301625 0.0001041827 0.0000819276 244892.819 208091.719 237209.250 4.17323 9.19540 4.91777 0.0002524583 0.05903 331.021 0.009995 850.642 292.302 0.00010407532 0.00020373658 0.0001040365 0.0000824539 244225.325 207286.887 236345.468 4.21693 8.91522 4.90721 0.0002528384 0.13269 332.015 0.010025 849.991 292.014 0.00010372064 0.00020445606 0.0001038812 0.0000829777 243570.345 206502.135 235495.030 4.26092 8.63291 4.89680 0.0002532068 0.20327 333.009 0.010055 849.351 291.734 0.00010336117 0.00020517459 0.0001037168 0.0000834986 242927.827 205737.353 234657.978 4.30522 8.34855 4.88656 0.0002535634 0.27077 334.002 0.010085 848.722 291.462 0.00010299698 0.00020589208 0.0001035434 0.0000840166 242297.712 204992.426 233834.351 4.34982 8.06216 4.87649 0.0002539080 0.33519 335.029 0.010116 848.084 291.189 0.00010261578 0.00020663229 0.0001033549 0.0000845486 241659.565 204243.412 232997.411 4.39621 7.76416 4.86625 0.0002542515 0.39854 336.023 0.010146 847.478 290.933 0.00010224222 0.00020734740 0.0001031633 0.0000850602 241054.494 203538.517 232201.187 4.44139 7.47383 4.85651 0.0002545715 0.45672 337.016 0.010176 846.883 290.685 0.00010186417 0.00020806119 0.0001029629 0.0000855684 240461.649 202853.143 231418.484 4.48686 7.18163 4.84693 0.0002548793 0.51185 338.010 0.010206 846.299 290.444 0.00010148170 0.00020877360 0.0001027538 0.0000860730 239880.967 202187.178 230649.328 4.53260 6.88760 4.83752 0.0002551748 0.56391 339.003 0.010236 845.727 290.212 0.00010109488 0.00020948453 0.0001025359 0.0000865739 239312.385 201540.514 229893.740 4.57861 6.59180 4.82828 0.0002554579 0.61293 340.030 0.010267 845.147 289.980 0.00010069068 0.00021021753 0.0001023017 0.0000870875 238737.493 200892.458 229127.241 4.62644 6.28433 4.81891 0.0002557372 0.66039 341.024 0.010297 844.597 289.764 0.00010029524 0.00021092523 0.0001020663 0.0000875804 238193.312 200284.708 228399.299 4.67299 5.98507 4.81000 0.0002559947 0.70324 342.017 0.010327 844.059 289.555 0.00009989568 0.00021163120 0.0001018224 0.0000880692 237661.030 199695.935 227684.974 4.71980 5.68418 4.80126 0.0002562396 0.74306 343.011 0.010357 843.531 289.355 0.00009949207 0.00021233539 0.0001015700 0.0000885537 237140.579 199126.037 226984.278 4.76685 5.38170 4.79269 0.0002564717 0.77986 344.004 0.010387 843.015 289.161 0.00009908447 0.00021303770 0.0001013093 0.0000890337 236631.889 198574.909 226297.219 4.81415 5.07768 4.78429 0.0002566910 0.81366 345.031 0.010418 842.493 288.970 0.00009865918 0.00021376139 0.0001010312 0.0000895249 236118.523 198025.024 225601.591 4.86327 4.76197 4.77578 0.0002569041 0.84543 346.025 0.010448 841.999 288.792 0.00009824372 0.00021445967 0.0001007537 0.0000899954 235633.527 197511.756 224942.277 4.91104 4.45496 4.76771 0.0002570972 0.87314 347.018 0.010478 841.516 288.623 0.00009782449 0.00021515586 0.0001004681 0.0000904611 235160.073 197016.959 224296.613 4.95903 4.14656 4.75981 0.0002572772 0.89787 348.012 0.010508 841.044 288.460 0.00009740158 0.00021584988 0.0001001745 0.0000909217 234698.087 196540.538 223664.597 5.00724 3.83681 4.75208 0.0002574442 0.91963 349.006 0.010538 840.583 288.305 0.00009697506 0.00021654166 0.0000998729 0.0000913772 234247.495 196082.400 223046.229 5.05566 3.52575 4.74452 0.0002575981 0.93843 350.032 0.010569 840.119 288.154 0.00009653059 0.00021725407 0.0000995531 0.0000918422 233793.772 195628.102 222421.583 5.10590 3.20299 4.73687 0.0002577433 0.95477 351.026 0.010599 839.680 288.014 0.00009609694 0.00021794107 0.0000992356 0.0000922868 233366.112 195206.861 221830.951 5.15471 2.88941 4.72965 0.0002578704 0.96759 352.020 0.010629 839.253 287.882 0.00009565990 0.00021862562 0.0000989105 0.0000927258 232949.611 194803.633 221253.951 5.20372 2.57466 4.72259 0.0002579843 0.97749 353.013 0.010659 838.836 287.757 0.00009521954 0.00021930765 0.0000985779 0.0000931590 232544.193 194418.335 220690.574 5.25290 2.25878 4.71570 0.0002580849 0.98449 354.007 0.010689 838.430 287.640 0.00009477593 0.00021998709 0.0000982377 0.0000935865 232149.776 194050.884 220140.811 5.30224 1.94183 4.70897 0.0002581723 0.98858 355.000 0.010719 838.035 287.530 0.00009432914 0.00022066386 0.0000978903 0.0000940080 231766.282 193701.199 219604.651 5.35175 1.62384 4.70241 0.0002582463 0.98979 356.027 0.010750 837.637 287.425 0.00009386421 0.00022136032 0.0000975236 0.0000944371 231381.392 193358.443 219064.898 5.40308 1.29421 4.69581 0.0002583087 0.98802 357.021 0.010780 837.264 287.330 0.00009341120 0.00022203148 0.0000971614 0.0000948461 231019.856 193044.649 218556.360 5.45289 0.97425 4.68959 0.0002583555 0.98340 358.014 0.010810 836.901 287.242 0.00009295524 0.00022269976 0.0000967923 0.0000952487 230668.994 192748.396 218061.387 5.50284 0.65340 4.68354 0.0002583890 0.97594 359.008 0.010840 836.549 287.162 0.00009249640 0.00022336511 0.0000964162 0.0000956449 230328.724 192469.613 217579.964 5.55291 0.33169 4.67765 0.0002584091 0.96565 360.001 0.010870 836.207 287.089 0.00009203476 0.00022402745 0.0000960333 0.0000960344 229998.962 192208.233 217112.076 5.60310 0.00918 4.67192 0.0002584157 0.95255 Engine speed (Hz) = 92.0000000000 Output power (W) = 87.5898515011 Heat into heater (W) = 515.4854412585 Heat to regenerator (W) = 0.8447991321 Heat removal from cooler (W) = 429.8168685143 Approximate Pumping loss (W) = -431.4971018789 Thermal efficiency (%) = 16.9917216842 The average engine pressure (Pa) = 276412.2718923167 The exp space work per cycle (J) = 5.6157920765 The comp space work per cycle (J) = -4.6637284732 The net work per cycle (J) = 0.9520636033 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.7530774912 The expansion work for Vmin-to-Vmax (J) = 24.7051410945 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.029 0.000001 837.153 287.130 0.00009212108 0.00022382058 0.0000960225 0.0000960452 230500.924 192037.172 217393.102 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.000 0.000030 836.833 287.066 0.00009166795 0.00022446434 0.0000956417 0.0000964193 230192.450 191799.340 216948.724 0.04867 -0.31552 -0.00544 0.0002584090 -0.01584 2.004 0.000060 836.513 287.006 0.00009119649 0.00022512718 0.0000952411 0.0000967993 229883.680 191570.701 216502.562 0.09912 -0.64266 -0.01089 0.0002583885 -0.03504 3.009 0.000090 836.203 286.954 0.00009072237 0.00022578679 0.0000948340 0.0000971723 229585.336 191359.688 216070.149 0.14966 -0.97051 -0.01618 0.0002583543 -0.05706 4.013 0.000120 835.904 286.909 0.00009024566 0.00022644309 0.0000944203 0.0000975382 229297.330 191166.244 215651.470 0.20028 -1.29902 -0.02131 0.0002583065 -0.08191 5.018 0.000150 835.615 286.872 0.00008976644 0.00022709603 0.0000940003 0.0000978967 229019.569 190990.310 215246.506 0.25096 -1.62813 -0.02626 0.0002582450 -0.10956 6.022 0.000180 835.336 286.841 0.00008928479 0.00022774552 0.0000935741 0.0000982478 228751.964 190831.834 214855.238 0.30172 -1.95781 -0.03105 0.0002581699 -0.13999 7.026 0.000210 835.068 286.818 0.00008880078 0.00022839149 0.0000931418 0.0000985913 228494.421 190690.765 214477.649 0.35252 -2.28801 -0.03566 0.0002580812 -0.17320 8.031 0.000240 834.810 286.802 0.00008831450 0.00022903389 0.0000927036 0.0000989273 228246.849 190567.053 214113.720 0.40336 -2.61867 -0.04012 0.0002579789 -0.20915 9.002 0.000269 834.570 286.793 0.00008784234 0.00022965139 0.0000922744 0.0000992446 228016.922 190463.921 213774.890 0.45253 -2.93871 -0.04426 0.0002578671 -0.24651 10.006 0.000299 834.331 286.791 0.00008735181 0.00023028652 0.0000918248 0.0000995653 227788.691 190374.214 213437.772 0.50342 -3.27014 -0.04839 0.0002577381 -0.28782 11.011 0.000329 834.103 286.796 0.00008685926 0.00023091785 0.0000913697 0.0000998780 227570.157 190301.737 213114.261 0.55432 -3.60190 -0.05234 0.0002575957 -0.33184 12.015 0.000359 833.884 286.808 0.00008636474 0.00023154531 0.0000909092 0.0001001826 227361.227 190246.451 212804.339 0.60522 -3.93393 -0.05613 0.0002574398 -0.37853 13.019 0.000389 833.676 286.827 0.00008586835 0.00023216882 0.0000904434 0.0001004792 227161.810 190208.320 212507.988 0.65610 -4.26618 -0.05976 0.0002572706 -0.42789 14.024 0.000419 833.477 286.853 0.00008537018 0.00023278830 0.0000899725 0.0001007675 226971.812 190187.312 212225.192 0.70696 -4.59860 -0.06322 0.0002570880 -0.47990 15.028 0.000449 833.287 286.886 0.00008487029 0.00023340369 0.0000894965 0.0001010476 226791.140 190183.396 211955.935 0.75778 -4.93114 -0.06651 0.0002568921 -0.53453 16.033 0.000479 833.107 286.925 0.00008436879 0.00023401489 0.0000890158 0.0001013192 226619.704 190196.544 211700.201 0.80856 -5.26374 -0.06964 0.0002566830 -0.59176 17.004 0.000508 832.943 286.970 0.00008388254 0.00023460168 0.0000885466 0.0001015738 226462.674 190225.449 211465.833 0.85759 -5.58528 -0.07251 0.0002564684 -0.64955 18.008 0.000538 832.782 287.024 0.00008337809 0.00023520444 0.0000880568 0.0001018287 226309.132 190272.083 211236.654 0.90824 -5.91786 -0.07531 0.0002562335 -0.71186 19.012 0.000568 832.630 287.084 0.00008287227 0.00023580278 0.0000875626 0.0001020750 226164.554 190335.712 211020.958 0.95881 -6.25035 -0.07795 0.0002559856 -0.77671 20.017 0.000598 832.487 287.151 0.00008236517 0.00023639662 0.0000870641 0.0001023126 226028.850 190416.316 210818.733 1.00928 -6.58271 -0.08042 0.0002557247 -0.84410 21.021 0.000628 832.354 287.225 0.00008185688 0.00023698588 0.0000865616 0.0001025414 225901.930 190513.880 210629.968 1.05964 -6.91486 -0.08273 0.0002554510 -0.91399 22.026 0.000658 832.229 287.305 0.00008134749 0.00023757047 0.0000860551 0.0001027614 225783.707 190628.388 210454.656 1.10989 -7.24676 -0.08488 0.0002551645 -0.98638 23.030 0.000688 832.114 287.392 0.00008083709 0.00023815031 0.0000855448 0.0001029725 225674.093 190759.828 210292.787 1.16001 -7.57834 -0.08686 0.0002548653 -1.06123 24.001 0.000717 832.011 287.483 0.00008034282 0.00023870622 0.0000850481 0.0001031680 225576.235 190902.972 210149.088 1.20832 -7.89853 -0.08862 0.0002545641 -1.13591 25.005 0.000747 831.913 287.583 0.00007983070 0.00023927644 0.0000845309 0.0001033613 225483.303 191067.684 210013.643 1.25814 -8.22934 -0.09027 0.0002542402 -1.21555 26.010 0.000777 831.824 287.690 0.00007931783 0.00023984165 0.0000840104 0.0001035456 225398.728 191249.302 209891.628 1.30780 -8.55967 -0.09177 0.0002539039 -1.29760 27.014 0.000807 831.744 287.804 0.00007880433 0.00024040173 0.0000834867 0.0001037207 225322.430 191447.822 209783.044 1.35727 -8.88946 -0.09309 0.0002535554 -1.38204 28.018 0.000837 831.672 287.924 0.00007829028 0.00024095660 0.0000829600 0.0001038866 225254.329 191663.239 209687.891 1.40654 -9.21864 -0.09426 0.0002531946 -1.46884 29.023 0.000867 831.609 288.050 0.00007777577 0.00024150616 0.0000824305 0.0001040432 225194.348 191895.553 209606.172 1.45561 -9.54717 -0.09526 0.0002528217 -1.55798 30.027 0.000897 831.554 288.184 0.00007726092 0.00024205030 0.0000818983 0.0001041905 225142.411 192144.763 209537.894 1.50445 -9.87497 -0.09609 0.0002524369 -1.64944 31.032 0.000927 831.508 288.323 0.00007674582 0.00024258892 0.0000813636 0.0001043285 225098.448 192410.869 209483.064 1.55306 -10.20198 -0.09676 0.0002520402 -1.74320 32.003 0.000956 831.471 288.465 0.00007624774 0.00024310425 0.0000808446 0.0001044530 225063.463 192684.167 209442.856 1.59982 -10.51728 -0.09726 0.0002516456 -1.83600 33.007 0.000986 831.441 288.617 0.00007573243 0.00024363171 0.0000803054 0.0001045725 225034.980 192983.509 209414.510 1.64792 -10.84256 -0.09760 0.0002512259 -1.93421 34.011 0.001016 831.419 288.776 0.00007521719 0.00024415333 0.0000797643 0.0001046825 225014.273 193299.756 209399.654 1.69575 -11.16685 -0.09778 0.0002507948 -2.03466 35.016 0.001046 831.405 288.941 0.00007470209 0.00024466900 0.0000792213 0.0001047830 225001.283 193632.912 209398.307 1.74328 -11.49009 -0.09780 0.0002503523 -2.13732 36.020 0.001076 831.399 289.112 0.00007418727 0.00024517860 0.0000786767 0.0001048739 224995.955 193982.983 209410.494 1.79051 -11.81221 -0.09765 0.0002498986 -2.24216 37.025 0.001106 831.402 289.290 0.00007367282 0.00024568201 0.0000781305 0.0001049553 224998.239 194349.974 209436.241 1.83742 -12.13315 -0.09734 0.0002494339 -2.34917 38.029 0.001136 831.412 289.474 0.00007315885 0.00024617910 0.0000775830 0.0001050271 225008.087 194733.890 209475.579 1.88399 -12.45283 -0.09686 0.0002489582 -2.45831 39.033 0.001166 831.430 289.665 0.00007264548 0.00024666975 0.0000770344 0.0001050894 225025.460 195134.736 209528.545 1.93021 -12.77117 -0.09621 0.0002484717 -2.56958 40.004 0.001195 831.455 289.855 0.00007214989 0.00024713780 0.0000765030 0.0001051403 225049.372 195538.320 209592.734 1.97454 -13.07757 -0.09542 0.0002479914 -2.67912 41.009 0.001225 831.489 290.057 0.00007163803 0.00024761540 0.0000759525 0.0001051836 225081.445 195972.480 209672.619 2.02003 -13.39308 -0.09445 0.0002474842 -2.79448 42.013 0.001255 831.530 290.266 0.00007112710 0.00024808616 0.0000754014 0.0001052172 225120.955 196423.583 209766.262 2.06511 -13.70703 -0.09330 0.0002469666 -2.91189 43.017 0.001285 831.580 290.481 0.00007061722 0.00024854994 0.0000748497 0.0001052411 225167.886 196891.635 209873.719 2.10978 -14.01935 -0.09199 0.0002464389 -3.03132 44.022 0.001315 831.637 290.702 0.00007010853 0.00024900659 0.0000742977 0.0001052554 225222.230 197376.636 209995.049 2.15403 -14.32996 -0.09050 0.0002459011 -3.15275 45.026 0.001345 831.702 290.929 0.00006960113 0.00024945596 0.0000737455 0.0001052600 225283.985 197878.586 210130.319 2.19782 -14.63877 -0.08885 0.0002453535 -3.27616 46.031 0.001375 831.775 291.162 0.00006909516 0.00024989789 0.0000731933 0.0001052549 225353.159 198397.483 210279.603 2.24116 -14.94570 -0.08702 0.0002447963 -3.40152 47.002 0.001404 831.853 291.392 0.00006860753 0.00025031788 0.0000726598 0.0001052408 225427.097 198915.189 210437.308 2.28259 -15.24053 -0.08509 0.0002442485 -3.52453 48.006 0.001434 831.941 291.637 0.00006810474 0.00025074471 0.0000721081 0.0001052167 225510.922 199467.399 210614.393 2.32496 -15.54351 -0.08292 0.0002436728 -3.65365 49.010 0.001464 832.037 291.888 0.00006760375 0.00025116362 0.0000715569 0.0001051829 225602.246 200036.535 210805.753 2.36682 -15.84436 -0.08058 0.0002430878 -3.78465 50.015 0.001494 832.141 292.144 0.00006710470 0.00025157441 0.0000710065 0.0001051394 225701.117 200622.581 211011.491 2.40814 -16.14298 -0.07807 0.0002424939 -3.91751 51.019 0.001524 832.253 292.406 0.00006660772 0.00025197692 0.0000704568 0.0001050863 225807.597 201225.520 211231.722 2.44891 -16.43928 -0.07537 0.0002418912 -4.05220 52.024 0.001554 832.372 292.674 0.00006611296 0.00025237094 0.0000699082 0.0001050236 225921.758 201845.327 211466.570 2.48911 -16.73316 -0.07250 0.0002412798 -4.18869 53.028 0.001584 832.501 292.948 0.00006562055 0.00025275628 0.0000693608 0.0001049513 226043.687 202481.974 211716.169 2.52873 -17.02453 -0.06945 0.0002406601 -4.32696 54.032 0.001614 832.637 293.227 0.00006513064 0.00025313273 0.0000688147 0.0001048694 226173.487 203135.425 211980.666 2.56773 -17.31329 -0.06621 0.0002400321 -4.46699 55.003 0.001643 832.776 293.502 0.00006465957 0.00025348799 0.0000682882 0.0001047811 226306.552 203783.027 212250.658 2.60484 -17.58984 -0.06291 0.0002394174 -4.60399 56.008 0.001673 832.929 293.793 0.00006417499 0.00025384634 0.0000677453 0.0001046804 226452.191 204469.395 212544.934 2.64258 -17.87315 -0.05931 0.0002387738 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-0.00069 0.0002305363 -6.58642 69.031 0.002062 835.775 298.025 0.00005821626 0.00025752761 0.0000609320 0.0001025296 229176.543 214837.082 217854.212 3.06292 -21.23815 0.00564 0.0002298096 -6.74959 70.002 0.002091 836.062 298.372 0.00005780208 0.00025771894 0.0000604463 0.0001023081 229453.251 215713.072 218373.726 3.08822 -21.46146 0.01200 0.0002291025 -6.90859 71.007 0.002121 836.373 298.735 0.00005737897 0.00025790256 0.0000599479 0.0001020704 229752.720 216632.776 218932.042 3.11335 -21.68765 0.01883 0.0002283663 -7.07437 72.011 0.002151 836.699 299.102 0.00005696153 0.00025807099 0.0000594538 0.0001018239 230066.369 217565.671 219512.524 3.13739 -21.90872 0.02593 0.0002276257 -7.24143 73.016 0.002181 837.040 299.472 0.00005654999 0.00025822354 0.0000589641 0.0001015688 230395.038 218511.091 220116.283 3.16028 -22.12445 0.03331 0.0002268809 -7.40976 74.020 0.002211 837.397 299.845 0.00005614462 0.00025835936 0.0000584789 0.0001013052 230739.688 219468.214 220744.679 3.18197 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3.28026 -23.44536 0.09572 0.0002215937 -8.61499 81.017 0.002420 840.477 302.466 0.00005352245 0.00025867906 0.0000552371 0.0000992384 233729.229 226276.476 226112.255 3.29046 -23.60225 0.10678 0.0002208235 -8.79231 82.022 0.002450 841.036 302.844 0.00005318113 0.00025863292 0.0000547933 0.0000989098 234275.515 227271.733 227015.521 3.29956 -23.75287 0.11795 0.0002200511 -8.97063 83.026 0.002480 841.625 303.229 0.00005284870 0.00025857561 0.0000543553 0.0000985735 234851.107 228286.120 227924.111 3.30763 -23.89755 0.12924 0.0002192768 -9.14992 84.030 0.002510 842.240 303.619 0.00005252475 0.00025850738 0.0000539234 0.0000982295 235453.232 229320.110 228838.365 3.31469 -24.03651 0.14066 0.0002185009 -9.33016 85.001 0.002539 842.856 304.003 0.00005221933 0.00025843118 0.0000535116 0.0000978899 236058.147 230338.561 229728.007 3.32056 -24.16556 0.15184 0.0002177495 -9.50526 86.006 0.002569 843.515 304.406 0.00005191111 0.00025834181 0.0000530917 0.0000975312 236705.396 231411.955 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0.008782 882.965 308.907 0.00011318633 0.00017722629 0.0001031712 0.0000624802 278010.314 251475.762 276907.199 2.78412 17.39982 5.42525 0.0002319994 -4.72565 295.021 0.008812 881.927 308.312 0.00011306435 0.00017789710 0.0001033644 0.0000629975 276865.786 249872.567 275627.742 2.81624 17.23334 5.40960 0.0002327099 -4.54226 296.026 0.008842 880.897 307.725 0.00011293459 0.00017857251 0.0001035485 0.0000635181 275734.154 248291.273 274355.716 2.84866 17.06250 5.39404 0.0002334146 -4.36162 297.030 0.008872 879.877 307.144 0.00011279711 0.00017925229 0.0001037234 0.0000640418 274615.491 246732.014 273091.485 2.88138 16.88737 5.37857 0.0002341133 -4.18373 298.001 0.008901 878.899 306.591 0.00011265696 0.00017991335 0.0001038838 0.0000645509 273546.508 245245.785 271877.129 2.91329 16.71406 5.36372 0.0002347827 -4.01443 299.006 0.008931 877.896 306.025 0.00011250455 0.00018060106 0.0001040406 0.0000650804 272453.540 243730.187 270629.218 2.94661 16.53071 5.34845 0.0002354690 -3.84207 300.010 0.008961 876.903 305.468 0.00011234465 0.00018129250 0.0001041881 0.0000656125 271373.725 242236.929 269390.079 2.98024 16.34327 5.33329 0.0002361486 -3.67256 301.014 0.008991 875.919 304.918 0.00011217734 0.00018198745 0.0001043262 0.0000661472 270307.111 240766.086 268160.009 3.01418 16.15183 5.31825 0.0002368214 -3.50591 302.019 0.009021 874.944 304.376 0.00011200272 0.00018268572 0.0001044550 0.0000666841 269253.744 239317.719 266939.296 3.04844 15.95645 5.30331 0.0002374871 -3.34217 303.023 0.009051 873.979 303.843 0.00011182084 0.00018338710 0.0001045743 0.0000672233 268213.664 237891.877 265728.210 3.08302 15.75720 5.28850 0.0002381456 -3.18135 304.028 0.009081 873.024 303.317 0.00011163180 0.00018409140 0.0001046841 0.0000677644 267186.905 236488.596 264527.011 3.11793 15.55414 5.27380 0.0002387966 -3.02348 305.032 0.009111 872.079 302.799 0.00011143566 0.00018479845 0.0001047845 0.0000683074 266173.498 235107.900 263335.947 3.15316 15.34736 5.25923 0.0002394399 -2.86857 306.003 0.009140 871.174 302.307 0.00011123940 0.00018548437 0.0001048724 0.0000688339 265206.586 233794.708 262194.441 3.18752 15.14397 5.24527 0.0002400544 -2.72166 307.007 0.009170 870.249 301.805 0.00011102956 0.00018619629 0.0001049540 0.0000693800 264219.504 232458.456 261023.986 3.22340 14.93003 5.23095 0.0002406821 -2.57263 308.012 0.009200 869.333 301.312 0.00011081286 0.00018691043 0.0001050260 0.0000699275 263245.834 231144.796 259864.333 3.25961 14.71255 5.21676 0.0002413015 -2.42663 309.016 0.009230 868.428 300.827 0.00011058939 0.00018762663 0.0001050884 0.0000704762 262285.586 229853.708 258715.688 3.29616 14.49160 5.20271 0.0002419126 -2.28366 310.020 0.009260 867.533 300.351 0.00011035922 0.00018834471 0.0001051411 0.0000710258 261338.769 228585.166 257578.243 3.33304 14.26723 5.18880 0.0002425150 -2.14374 311.025 0.009290 866.648 299.883 0.00011012244 0.00018906453 0.0001051842 0.0000715764 260405.385 227339.132 256452.186 3.37025 14.03951 5.17502 0.0002431086 -2.00689 312.029 0.009320 865.774 299.423 0.00010987911 0.00018978592 0.0001052177 0.0000721275 259485.433 226115.563 255337.690 3.40781 13.80850 5.16139 0.0002436932 -1.87311 313.000 0.009349 864.939 298.987 0.00010963776 0.00019048462 0.0001052408 0.0000726608 258608.910 224954.084 254271.493 3.44444 13.58212 5.14835 0.0002442496 -1.74673 314.005 0.009379 864.086 298.544 0.00010938182 0.00019120868 0.0001052552 0.0000732128 257715.359 223774.535 253180.217 3.48266 13.34483 5.13500 0.0002448161 -1.61904 315.009 0.009409 863.244 298.109 0.00010911957 0.00019193388 0.0001052600 0.0000737650 256835.215 222617.276 252100.975 3.52122 13.10442 5.12180 0.0002453730 -1.49446 316.013 0.009439 862.412 297.683 0.00010885109 0.00019266008 0.0001052551 0.0000743172 255968.464 221482.233 251033.909 3.56012 12.86097 5.10874 0.0002459202 -1.37300 317.018 0.009469 861.591 297.266 0.00010857647 0.00019338714 0.0001052405 0.0000748692 255115.087 220369.329 249979.156 3.59937 12.61453 5.09584 0.0002464576 -1.25467 318.022 0.009499 860.781 296.856 0.00010829579 0.00019411494 0.0001052162 0.0000754208 254275.064 219278.482 248936.843 3.63895 12.36515 5.08309 0.0002469850 -1.13947 319.027 0.009529 859.982 296.456 0.00010800912 0.00019484333 0.0001051822 0.0000759720 253448.368 218209.602 247907.090 3.67887 12.11291 5.07049 0.0002475022 -1.02742 320.031 0.009559 859.195 296.063 0.00010771653 0.00019557220 0.0001051386 0.0000765224 252634.973 217162.599 246890.013 3.71912 11.85784 5.05805 0.0002480091 -0.91851 321.002 0.009588 858.444 295.692 0.00010742816 0.00019627710 0.0001050873 0.0000770537 251861.305 216171.200 245918.988 3.75836 11.60866 5.04617 0.0002484891 -0.81622 322.006 0.009618 857.678 295.317 0.00010712418 0.00019700653 0.0001050248 0.0000776024 251073.977 215166.936 244927.146 3.79927 11.34822 5.03404 0.0002489752 -0.71352 323.011 0.009648 856.923 294.950 0.00010681453 0.00019773608 0.0001049526 0.0000781498 250299.850 214184.253 243948.280 3.84052 11.08513 5.02206 0.0002494505 -0.61397 324.015 0.009678 856.179 294.591 0.00010649927 0.00019846563 0.0001048709 0.0000786959 249538.889 213223.046 242982.478 3.88211 10.81945 5.01025 0.0002499148 -0.51758 325.020 0.009708 855.447 294.241 0.00010617850 0.00019919505 0.0001047796 0.0000792405 248791.050 212283.206 242029.824 3.92402 10.55123 4.99859 0.0002503681 -0.42435 326.024 0.009738 854.725 293.899 0.00010585227 0.00019992425 0.0001046787 0.0000797834 248056.293 211364.624 241090.397 3.96625 10.28052 4.98710 0.0002508102 -0.33429 327.028 0.009768 854.016 293.565 0.00010552068 0.00020065312 0.0001045684 0.0000803245 247334.571 210467.188 240164.269 4.00881 10.00738 4.97577 0.0002512409 -0.24739 328.033 0.009798 853.317 293.240 0.00010518379 0.00020138154 0.0001044486 0.0000808635 246625.837 209590.784 239251.508 4.05170 9.73185 4.96461 0.0002516601 -0.16365 329.004 0.009827 852.653 292.934 0.00010485318 0.00020208516 0.0001043238 0.0000813825 245953.027 208763.478 238381.937 4.09345 9.46330 4.95397 0.0002520544 -0.08571 330.008 0.009857 851.977 292.625 0.00010450611 0.00020281241 0.0001041855 0.0000819171 245269.690 207928.103 237495.643 4.13695 9.18325 4.94313 0.0002524506 -0.00819 331.012 0.009887 851.312 292.325 0.00010415397 0.00020353892 0.0001040378 0.0000824492 244599.189 207113.419 236622.887 4.18077 8.90097 4.93245 0.0002528350 0.06617 332.017 0.009917 850.658 292.032 0.00010379685 0.00020426459 0.0001038809 0.0000829786 243941.468 206319.308 235763.721 4.22489 8.61652 4.92194 0.0002532075 0.13737 333.021 0.009947 850.016 291.748 0.00010343481 0.00020498933 0.0001037147 0.0000835052 243296.470 205545.655 234918.188 4.26932 8.32995 4.91160 0.0002535678 0.20543 334.026 0.009977 849.386 291.473 0.00010306794 0.00020571303 0.0001035392 0.0000840288 242664.136 204792.342 234086.329 4.31404 8.04130 4.90142 0.0002539160 0.27033 335.030 0.010007 848.767 291.205 0.00010269631 0.00020643562 0.0001033547 0.0000845492 242044.406 204059.253 233268.183 4.35906 7.75063 4.89141 0.0002542519 0.33210 336.001 0.010036 848.179 290.954 0.00010233261 0.00020713296 0.0001031676 0.0000850491 241457.256 203369.716 232490.373 4.40285 7.46777 4.88190 0.0002545647 0.38882 337.005 0.010066 847.582 290.703 0.00010195183 0.00020785308 0.0001029652 0.0000855629 240862.131 202676.065 231699.288 4.44844 7.17326 4.87222 0.0002548761 0.44442 338.010 0.010096 846.997 290.460 0.00010156651 0.00020857182 0.0001027538 0.0000860730 240279.421 202002.295 230922.004 4.49430 6.87688 4.86271 0.0002551748 0.49690 339.014 0.010126 846.423 290.224 0.00010117674 0.00020928909 0.0001025335 0.0000865793 239709.060 201348.295 230158.544 4.54044 6.57867 4.85337 0.0002554609 0.54625 340.019 0.010156 845.861 289.997 0.00010078257 0.00021000481 0.0001023044 0.0000870818 239150.978 200713.951 229408.929 4.58684 6.27869 4.84420 0.0002557341 0.59250 341.023 0.010186 845.310 289.778 0.00010038409 0.00021071890 0.0001020665 0.0000875801 238605.108 200099.153 228673.176 4.63351 5.97697 4.83520 0.0002559945 0.63564 342.027 0.010216 844.770 289.567 0.00009998137 0.00021143127 0.0001018199 0.0000880741 238071.378 199503.791 227951.299 4.68044 5.67357 4.82637 0.0002562420 0.67568 343.032 0.010246 844.242 289.363 0.00009957450 0.00021214184 0.0001015646 0.0000885638 237549.716 198927.757 227243.311 4.72762 5.36853 4.81771 0.0002564764 0.71264 344.003 0.010275 843.742 289.174 0.00009917729 0.00021282696 0.0001013098 0.0000890328 237056.845 198389.195 226572.134 4.77346 5.07215 4.80950 0.0002566906 0.74545 345.007 0.010305 843.236 288.986 0.00009876244 0.00021353377 0.0001010378 0.0000895134 236558.703 197850.863 225891.485 4.82111 4.76403 4.80117 0.0002568993 0.77636 346.011 0.010335 842.741 288.807 0.00009834365 0.00021423857 0.0001007575 0.0000899891 236072.407 197331.548 225224.745 4.86899 4.45442 4.79302 0.0002570947 0.80422 347.016 0.010365 842.258 288.634 0.00009792099 0.00021494126 0.0001004689 0.0000904599 235597.883 196831.149 224571.917 4.91710 4.14337 4.78503 0.0002572768 0.82903 348.020 0.010395 841.786 288.470 0.00009749454 0.00021564178 0.0001001720 0.0000909255 235135.051 196349.567 223933.002 4.96543 3.83091 4.77721 0.0002574456 0.85080 349.025 0.010425 841.325 288.314 0.00009706437 0.00021634005 0.0000998671 0.0000913859 234683.834 195886.706 223307.997 5.01397 3.51709 4.76957 0.0002576009 0.86955 350.029 0.010455 840.875 288.165 0.00009663056 0.00021703600 0.0000995541 0.0000918408 234244.151 195442.471 222696.899 5.06271 3.20197 4.76209 0.0002577429 0.88528 351.000 0.010484 840.451 288.028 0.00009620782 0.00021770647 0.0000992440 0.0000922753 233830.012 195030.662 222119.386 5.11001 2.89615 4.75503 0.0002578673 0.89764 352.004 0.010514 840.023 287.894 0.00009576706 0.00021839764 0.0000989155 0.0000927191 233412.777 194622.791 221535.623 5.15912 2.57859 4.74789 0.0002579827 0.90747 353.009 0.010544 839.606 287.768 0.00009532288 0.00021908628 0.0000985793 0.0000931572 233006.833 194233.278 220965.749 5.20842 2.25987 4.74092 0.0002580845 0.91434 354.013 0.010574 839.200 287.650 0.00009487535 0.00021977230 0.0000982355 0.0000935893 232612.098 193862.040 220409.752 5.25788 1.94001 4.73411 0.0002581728 0.91823 355.018 0.010604 838.805 287.539 0.00009442455 0.00022045565 0.0000978842 0.0000940152 232228.486 193508.993 219867.624 5.30751 1.61908 4.72748 0.0002582474 0.91918 356.022 0.010634 838.421 287.435 0.00009397055 0.00022113626 0.0000975254 0.0000944350 231855.914 193174.057 219339.352 5.35730 1.29712 4.72102 0.0002583084 0.91719 357.026 0.010664 838.048 287.339 0.00009351343 0.00022181404 0.0000971593 0.0000948484 231494.294 192857.154 218824.923 5.40723 0.97418 4.71473 0.0002583558 0.91227 358.031 0.010694 837.686 287.251 0.00009305327 0.00022248894 0.0000967861 0.0000952554 231143.540 192558.209 218324.323 5.45730 0.65029 4.70860 0.0002583894 0.90444 359.002 0.010723 837.346 287.172 0.00009260562 0.00022313853 0.0000964185 0.0000956424 230814.725 192286.232 217853.542 5.50582 0.33635 4.70284 0.0002584090 0.89413 360.006 0.010753 837.004 287.098 0.00009213969 0.00022380755 0.0000960315 0.0000960363 230485.086 192022.396 217380.096 5.55613 0.01076 4.69705 0.0002584157 0.88062 Engine speed (Hz) = 93.0000000000 Output power (W) = 81.8511429600 Heat into heater (W) = 516.7197949279 Heat to regenerator (W) = 1.0007847778 Heat removal from cooler (W) = 436.8257937079 Approximate Pumping loss (W) = -443.5450037649 Thermal efficiency (%) = 15.8405278380 The average engine pressure (Pa) = 276495.9084883378 The exp space work per cycle (J) = 5.5694664656 The comp space work per cycle (J) = -4.6893466488 The net work per cycle (J) = 0.8801198168 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.7922961439 The expansion work for Vmin-to-Vmax (J) = 24.6724159606 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.007 0.000000 837.961 287.140 0.00009223793 0.00022358341 0.0000960310 0.0000960367 230995.550 191857.422 217673.605 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.022 0.000030 837.631 287.073 0.00009176486 0.00022425600 0.0000956329 0.0000964278 230676.791 191609.149 217208.489 0.05046 -0.32949 -0.00569 0.0002584086 -0.01683 2.004 0.000059 837.322 287.015 0.00009130485 0.00022490315 0.0000952414 0.0000967991 230378.825 191386.362 216772.218 0.09933 -0.64875 -0.01103 0.0002583885 -0.03588 3.019 0.000089 837.013 286.963 0.00009082628 0.00022556940 0.0000948298 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0.008688 883.472 308.980 0.00011320722 0.00017711164 0.0001031696 0.0000624761 278225.563 251388.366 277125.767 2.75903 17.33527 5.44946 0.0002319937 -4.79087 295.024 0.008718 882.427 308.377 0.00011308537 0.00017778697 0.0001033649 0.0000629990 277072.759 249763.917 275835.490 2.79132 17.16811 5.43367 0.0002327119 -4.60552 296.006 0.008747 881.425 307.800 0.00011296003 0.00017844427 0.0001035449 0.0000635076 275970.939 248215.007 274595.352 2.82281 17.00228 5.41850 0.0002334005 -4.42901 297.021 0.008777 880.397 307.212 0.00011282264 0.00017912866 0.0001037218 0.0000640369 274844.188 246634.946 273320.191 2.85568 16.82643 5.40290 0.0002341068 -4.24919 298.002 0.008806 879.413 306.650 0.00011268242 0.00017979428 0.0001038840 0.0000645515 273767.685 245129.180 272095.352 2.88775 16.65235 5.38792 0.0002347835 -4.07808 299.017 0.008836 878.403 306.077 0.00011252978 0.00018048683 0.0001040424 0.0000650867 272667.249 243593.964 270836.696 2.92123 16.46810 5.37252 0.0002354771 -3.90391 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-2.93645 306.022 0.009043 871.704 302.344 0.00011127289 0.00018535851 0.0001048741 0.0000688445 265443.591 233629.336 262409.784 3.16092 15.08709 5.26944 0.0002400666 -2.78288 307.004 0.009072 870.804 301.853 0.00011106930 0.00018605180 0.0001049537 0.0000693781 264483.497 232321.385 261268.208 3.19574 14.87910 5.25547 0.0002406798 -2.63735 308.019 0.009102 869.883 301.353 0.00011085180 0.00018677124 0.0001050265 0.0000699315 263503.787 230991.122 260098.052 3.23210 14.66038 5.24116 0.0002413059 -2.48984 309.000 0.009131 869.003 300.878 0.00011063497 0.00018746873 0.0001050875 0.0000704675 262569.785 229727.212 258977.523 3.26756 14.44557 5.22745 0.0002419030 -2.35020 310.015 0.009161 868.103 300.395 0.00011040394 0.00018819219 0.0001051409 0.0000710231 261617.083 228442.459 257829.541 3.30458 14.21992 5.21340 0.0002425120 -2.20881 311.031 0.009191 867.213 299.921 0.00011016616 0.00018891745 0.0001051844 0.0000715795 260678.119 227180.792 256693.125 3.34194 13.99085 5.19950 0.0002431120 -2.07056 312.012 0.009220 866.364 299.470 0.00010992996 0.00018962009 0.0001052172 0.0000721180 259783.510 225983.080 255605.753 3.37837 13.76621 5.18620 0.0002436832 -1.93991 313.027 0.009250 865.495 299.013 0.00010967912 0.00019034842 0.0001052413 0.0000726756 258871.553 224766.668 254492.606 3.41640 13.53058 5.17258 0.0002442650 -1.80785 314.009 0.009279 864.667 298.579 0.00010943045 0.00019105375 0.0001052553 0.0000732150 258003.037 223612.590 253428.045 3.45349 13.29973 5.15956 0.0002448183 -1.68322 315.024 0.009309 863.820 298.138 0.00010916687 0.00019178456 0.0001052600 0.0000737731 257118.051 222441.187 252338.805 3.49219 13.05779 5.14624 0.0002453811 -1.55742 316.005 0.009338 863.012 297.721 0.00010890603 0.00019249202 0.0001052552 0.0000743126 256275.578 221330.482 251297.641 3.52992 12.82095 5.13350 0.0002459158 -1.43884 317.020 0.009368 862.187 297.297 0.00010863002 0.00019322476 0.0001052404 0.0000748705 255417.497 220203.795 250232.884 3.56930 12.57293 5.12047 0.0002464590 -1.31932 318.002 0.009397 861.400 296.896 0.00010835732 0.00019393382 0.0001052168 0.0000754095 254600.993 219136.155 249215.642 3.60768 12.33032 5.10803 0.0002469743 -1.20683 319.017 0.009427 860.597 296.490 0.00010806919 0.00019466796 0.0001051826 0.0000759666 253769.727 218053.844 248175.883 3.64773 12.07646 5.09531 0.0002474973 -1.09362 320.032 0.009457 859.806 296.093 0.00010777502 0.00019540261 0.0001051386 0.0000765230 252952.054 216993.955 247149.014 3.68811 11.81971 5.08275 0.0002480096 -0.98363 321.013 0.009486 859.051 295.716 0.00010748499 0.00019611314 0.0001050867 0.0000770600 252174.527 215990.615 246168.733 3.72747 11.56884 5.07076 0.0002484947 -0.88037 322.029 0.009516 858.282 295.336 0.00010717916 0.00019684844 0.0001050233 0.0000776145 251383.489 214974.526 245167.537 3.76852 11.30658 5.05851 0.0002489858 -0.77673 323.010 0.009545 857.549 294.976 0.00010687801 0.00019755936 0.0001049527 0.0000781494 250631.641 214013.327 244212.263 3.80852 11.05049 5.04682 0.0002494501 -0.67961 324.025 0.009575 856.803 294.613 0.00010656085 0.00019829482 0.0001048700 0.0000787014 249867.092 213040.622 243237.122 3.85023 10.78295 5.03489 0.0002499194 -0.58232 325.007 0.009604 856.092 294.270 0.00010624888 0.00019900568 0.0001047808 0.0000792335 249140.771 212121.152 242307.204 3.89086 10.52186 5.02352 0.0002503623 -0.49135 326.022 0.009634 855.368 293.923 0.00010592067 0.00019974086 0.0001046790 0.0000797823 248402.544 211191.393 241358.455 3.93322 10.24925 5.01191 0.0002508092 -0.40042 327.003 0.009663 854.679 293.596 0.00010559818 0.00020045124 0.0001045713 0.0000803109 247701.581 210313.221 240454.197 3.97447 9.98335 5.00085 0.0002512302 -0.31560 328.018 0.009693 853.977 293.267 0.00010525924 0.00020118571 0.0001044504 0.0000808558 246989.492 209425.957 239532.136 4.01747 9.70589 4.98957 0.0002516542 -0.23104 329.034 0.009723 853.288 292.946 0.00010491496 0.00020191965 0.0001043198 0.0000813985 246290.617 208560.123 238623.744 4.06079 9.42603 4.97846 0.0002520663 -0.14971 330.015 0.009752 852.632 292.643 0.00010457716 0.00020262853 0.0001041845 0.0000819207 245627.549 207743.408 237758.683 4.10296 9.15329 4.96788 0.0002524533 -0.07417 331.030 0.009782 851.965 292.339 0.00010422260 0.00020336114 0.0001040352 0.0000824585 244954.503 206919.369 236877.348 4.14690 8.86889 4.95709 0.0002528417 0.00080 332.011 0.009811 851.332 292.053 0.00010387500 0.00020406855 0.0001038817 0.0000829758 244316.295 206142.828 236038.542 4.18967 8.59184 4.94683 0.0002532055 0.07021 333.027 0.009841 850.688 291.765 0.00010351047 0.00020479945 0.0001037137 0.0000835080 243668.852 205360.113 235184.464 4.23421 8.30310 4.93639 0.0002535698 0.13884 334.008 0.009870 850.076 291.495 0.00010315338 0.00020550501 0.0001035424 0.0000840196 243055.281 204623.292 234372.091 4.27755 8.02196 4.92645 0.0002539100 0.20212 335.023 0.009900 849.455 291.224 0.00010277917 0.00020623382 0.0001033559 0.0000845457 242433.204 203881.432 233545.436 4.32268 7.72908 4.91634 0.0002542496 0.26442 336.005 0.009929 848.866 290.970 0.00010241287 0.00020693719 0.0001031669 0.0000850510 241844.032 203183.877 232759.643 4.36659 7.44403 4.90672 0.0002545659 0.32159 337.020 0.009959 848.268 290.715 0.00010202929 0.00020766355 0.0001029622 0.0000855702 241247.069 202482.404 231960.549 4.41229 7.14720 4.89695 0.0002548804 0.37759 338.001 0.009988 847.701 290.477 0.00010165407 0.00020836439 0.0001027556 0.0000860686 240682.047 201823.667 231201.453 4.45673 6.85843 4.88766 0.0002551723 0.42868 339.016 0.010018 847.126 290.239 0.00010126141 0.00020908796 0.0001025330 0.0000865804 240109.932 201162.120 230430.030 4.50298 6.55785 4.87822 0.0002554615 0.47839 340.032 0.010048 846.562 290.008 0.00010086425 0.00020980998 0.0001023013 0.0000870882 239550.346 200520.701 229672.709 4.54950 6.25544 4.86896 0.0002557376 0.52492 341.013 0.010077 846.029 289.794 0.00010047612 0.00021050639 0.0001020689 0.0000875751 239021.256 199919.686 228954.056 4.59473 5.96142 4.86017 0.0002559920 0.56689 342.028 0.010107 845.488 289.580 0.00010007032 0.00021122512 0.0001018197 0.0000880745 238486.100 199317.515 228224.523 4.64177 5.65555 4.85124 0.0002562422 0.60718 343.009 0.010136 844.977 289.381 0.00009967399 0.00021191819 0.0001015704 0.0000885530 237980.484 198754.228 227532.759 4.68748 5.35827 4.84278 0.0002564714 0.64313 344.025 0.010166 844.459 289.183 0.00009925986 0.00021263331 0.0001013039 0.0000890434 237469.463 198190.870 226831.064 4.73500 5.04913 4.83420 0.0002566953 0.67723 345.006 0.010195 843.969 288.999 0.00009885562 0.00021332275 0.0001010381 0.0000895129 236987.035 197664.896 226166.226 4.78118 4.74877 4.82606 0.0002568990 0.70721 346.021 0.010225 843.474 288.817 0.00009843345 0.00021403396 0.0001007547 0.0000899937 236499.849 197139.930 225492.400 4.82917 4.43655 4.81782 0.0002570965 0.73514 347.003 0.010254 843.006 288.648 0.00009802158 0.00021471946 0.0001004727 0.0000904537 236040.311 196650.871 224854.509 4.87578 4.13331 4.81002 0.0002572744 0.75918 348.018 0.010284 842.534 288.482 0.00009759166 0.00021542646 0.0001001728 0.0000909243 235576.649 196163.891 224208.563 4.92422 3.81818 4.80212 0.0002574451 0.78099 349.033 0.010314 842.073 288.323 0.00009715793 0.00021613119 0.0000998645 0.0000913896 235124.826 195696.076 223576.792 4.97286 3.50165 4.79439 0.0002576022 0.79971 350.014 0.010343 841.638 288.178 0.00009673509 0.00021681023 0.0000995587 0.0000918341 234699.238 195261.980 222979.553 5.02008 3.19439 4.78708 0.0002577409 0.81487 351.030 0.010373 841.199 288.035 0.00009629405 0.00021751031 0.0000992345 0.0000922884 234270.453 194831.571 222375.652 5.06912 2.87524 4.77969 0.0002578709 0.82754 352.011 0.010402 840.785 287.904 0.00009586430 0.00021818470 0.0000989134 0.0000927220 233866.976 194433.457 221805.342 5.11671 2.56553 4.77272 0.0002579834 0.83687 353.026 0.010432 840.369 287.776 0.00009541626 0.00021887984 0.0000985735 0.0000931647 233460.896 194040.094 221229.286 5.16612 2.24395 4.76567 0.0002580862 0.84354 354.007 0.010461 839.977 287.660 0.00009497989 0.00021954932 0.0000982375 0.0000935868 233079.204 193677.624 220685.877 5.21404 1.93198 4.75902 0.0002581723 0.84709 355.023 0.010491 839.582 287.548 0.00009452514 0.00022023923 0.0000978824 0.0000940174 232695.490 193320.965 220137.628 5.26378 1.60815 4.75232 0.0002582478 0.84781 356.004 0.010520 839.211 287.447 0.00009408243 0.00022090353 0.0000975319 0.0000944275 232335.251 192993.817 219621.080 5.31200 1.29409 4.74600 0.0002583074 0.84564 357.019 0.010550 838.838 287.350 0.00009362128 0.00022158794 0.0000971620 0.0000948455 231973.557 192673.540 219100.594 5.36204 0.96819 4.73963 0.0002583555 0.84045 358.001 0.010579 838.488 287.263 0.00009317252 0.00022224678 0.0000967974 0.0000952432 231634.434 192381.414 218610.857 5.41054 0.65222 4.73364 0.0002583886 0.83261 359.016 0.010609 838.137 287.181 0.00009270526 0.00022292542 0.0000964132 0.0000956480 231294.406 192097.219 218118.080 5.46084 0.32443 4.72761 0.0002584092 0.82159 360.031 0.010639 837.797 287.106 0.00009223502 0.00022360101 0.0000960218 0.0000960459 230965.257 191831.261 217639.368 5.51126 -0.00424 4.72175 0.0002584157 0.80762 Engine speed (Hz) = 94.0000000000 Output power (W) = 75.8675190160 Heat into heater (W) = 518.0583335423 Heat to regenerator (W) = -0.3981118272 Heat removal from cooler (W) = 443.8449626184 Approximate Pumping loss (W) = -455.8365155835 Thermal efficiency (%) = 14.6445900208 The average engine pressure (Pa) = 276610.8143033849 The exp space work per cycle (J) = 5.5181165106 The comp space work per cycle (J) = -4.7110152445 The net work per cycle (J) = 0.8071012661 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.8319891811 The expansion work for Vmin-to-Vmax (J) = 24.6390904472 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.004 0.000000 838.765 287.149 0.00009234596 0.00022335847 0.0000960324 0.0000960353 231484.545 191672.859 217946.148 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.030 0.000030 838.436 287.081 0.00009186860 0.00022403766 0.0000956300 0.0000964305 231166.311 191422.347 217475.654 0.05055 -0.33256 -0.00576 0.0002584085 -0.01729 2.021 0.000059 838.128 287.022 0.00009140436 0.00022469116 0.0000952343 0.0000968057 230869.024 191197.797 217034.438 0.09951 -0.65483 -0.01115 0.0002583880 -0.03683 3.013 0.000088 837.830 286.971 0.00009093746 0.00022534159 0.0000948322 0.0000971739 230581.809 190990.501 216606.570 0.14856 -0.97782 -0.01639 0.0002583541 -0.05914 4.005 0.000117 837.543 286.927 0.00009046797 0.00022598890 0.0000944238 0.0000975352 230304.576 190800.400 216192.033 0.19769 -1.30151 -0.02146 0.0002583070 -0.08421 5.031 0.000147 837.256 286.889 0.00008997965 0.00022665516 0.0000939947 0.0000979014 230028.188 190621.781 215777.211 0.24858 -1.63702 -0.02653 0.0002582441 -0.11303 6.023 0.000176 836.989 286.859 0.00008950513 0.00022729589 0.0000935738 0.0000982480 229770.978 190466.499 215389.742 0.29784 -1.96196 -0.03127 0.0002581698 -0.14365 7.015 0.000205 836.732 286.837 0.00008902824 0.00022793329 0.0000931470 0.0000985873 229523.469 190328.257 215015.551 0.34714 -2.28745 -0.03585 0.0002580823 -0.17698 8.006 0.000234 836.484 286.821 0.00008854907 0.00022856729 0.0000927143 0.0000989192 229285.569 190207.006 214654.620 0.39648 -2.61345 -0.04027 0.0002579815 -0.21300 9.032 0.000264 836.238 286.812 0.00008805104 0.00022921950 0.0000922608 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-2.99656 306.025 0.008948 872.250 302.391 0.00011130909 0.00018522188 0.0001048744 0.0000688460 265695.641 233487.724 262643.925 3.13236 15.03933 5.29378 0.0002400684 -2.84663 307.017 0.008977 871.345 301.893 0.00011110477 0.00018592020 0.0001049547 0.0000693853 264729.729 232163.455 261492.280 3.16732 14.83018 5.27969 0.0002406881 -2.69963 308.009 0.009006 870.450 301.403 0.00011089378 0.00018662074 0.0001050258 0.0000699260 263776.929 230861.400 260351.037 3.20260 14.61757 5.26573 0.0002412998 -2.55558 309.001 0.009035 869.565 300.922 0.00011067618 0.00018732333 0.0001050875 0.0000704677 262837.250 229581.535 259220.394 3.23819 14.40157 5.25190 0.0002419032 -2.41450 310.027 0.009065 868.659 300.432 0.00011044422 0.00018805214 0.0001051414 0.0000710292 261878.980 228280.857 258062.119 3.27535 14.17461 5.23773 0.0002425186 -2.27169 311.018 0.009094 867.795 299.967 0.00011021344 0.00018875843 0.0001051840 0.0000715728 260966.005 227046.037 256953.618 3.31160 13.95189 5.22417 0.0002431048 -2.13669 312.010 0.009123 866.941 299.510 0.00010997628 0.00018946631 0.0001052171 0.0000721171 260066.153 225833.289 255856.264 3.34816 13.72595 5.21075 0.0002436822 -2.00469 313.002 0.009152 866.097 299.062 0.00010973283 0.00019017563 0.0001052408 0.0000726618 259179.417 224642.561 254770.220 3.38504 13.49686 5.19746 0.0002442507 -1.87572 314.028 0.009182 865.235 298.607 0.00010947443 0.00019091078 0.0001052555 0.0000732257 258275.896 223433.879 253658.795 3.42354 13.25661 5.18387 0.0002448292 -1.74549 315.020 0.009211 864.412 298.176 0.00010921839 0.00019162261 0.0001052600 0.0000737709 257415.810 222287.752 252596.234 3.46108 13.02128 5.17087 0.0002453789 -1.62269 316.012 0.009240 863.600 297.752 0.00010895628 0.00019233547 0.0001052551 0.0000743162 256568.801 221163.441 251545.430 3.49894 12.78296 5.15801 0.0002459193 -1.50294 317.003 0.009269 862.799 297.338 0.00010868818 0.00019304922 0.0001052407 0.0000748612 255734.847 220060.866 250506.516 3.53712 12.54172 5.14530 0.0002464500 -1.38625 318.029 0.009299 861.981 296.917 0.00010840460 0.00019378840 0.0001052160 0.0000754248 254885.851 218943.056 249444.422 3.57696 12.28914 5.13231 0.0002469888 -1.26876 319.021 0.009328 861.202 296.519 0.00010812452 0.00019450359 0.0001051824 0.0000759690 254078.386 217884.441 248430.077 3.61579 12.04211 5.11990 0.0002474995 -1.15831 320.013 0.009357 860.433 296.130 0.00010783868 0.00019521929 0.0001051395 0.0000765126 253283.899 216847.296 247427.980 3.65495 11.79233 5.10764 0.0002480001 -1.05094 321.005 0.009386 859.675 295.749 0.00010754713 0.00019593540 0.0001050872 0.0000770553 252502.359 215831.525 246438.237 3.69442 11.53983 5.09554 0.0002484905 -0.94664 322.031 0.009416 858.903 295.363 0.00010723961 0.00019667649 0.0001050231 0.0000776157 251707.457 214803.115 245427.471 3.73559 11.27585 5.08317 0.0002489869 -0.84200 323.023 0.009445 858.167 294.999 0.00010693670 0.00019739305 0.0001049517 0.0000781563 250952.151 213830.520 244463.163 3.77571 11.01801 5.07137 0.0002494560 -0.74398 324.014 0.009474 857.442 294.642 0.00010662831 0.00019810967 0.0001048709 0.0000786955 250209.681 212878.991 243511.492 3.81614 10.75763 5.05973 0.0002499145 -0.64906 325.006 0.009503 856.728 294.295 0.00010631452 0.00019882623 0.0001047808 0.0000792333 249480.008 211948.419 242572.541 3.85689 10.49475 5.04825 0.0002503622 -0.55722 326.032 0.009533 856.002 293.944 0.00010598430 0.00019956733 0.0001046779 0.0000797879 248738.593 211007.698 241614.679 3.89936 10.22024 5.03653 0.0002508138 -0.46548 327.024 0.009562 855.310 293.613 0.00010565974 0.00020028346 0.0001045689 0.0000803222 248034.818 210119.427 240701.838 3.94074 9.95245 5.02536 0.0002512391 -0.37993 328.016 0.009591 854.630 293.290 0.00010533000 0.00020099921 0.0001044507 0.0000808545 247343.701 209251.780 239801.934 3.98241 9.68231 5.01435 0.0002516532 -0.29748 329.008 0.009620 853.961 292.975 0.00010499516 0.00020171451 0.0001043233 0.0000813846 246665.193 208404.642 238915.029 4.02439 9.40989 5.00350 0.0002520559 -0.21812 330.034 0.009650 853.280 292.658 0.00010464346 0.00020245387 0.0001041819 0.0000819307 245976.503 207549.756 238011.283 4.06813 9.12571 4.99245 0.0002524606 -0.13928 331.025 0.009679 852.634 292.360 0.00010429844 0.00020316791 0.0001040359 0.0000824560 245323.487 206743.995 237150.999 4.11071 8.84877 4.98192 0.0002528399 -0.06620 332.017 0.009708 851.998 292.070 0.00010394853 0.00020388120 0.0001038808 0.0000829788 244682.920 205958.397 236303.876 4.15359 8.56969 4.97156 0.0002532076 0.00379 333.009 0.009737 851.374 291.789 0.00010359381 0.00020459365 0.0001037167 0.0000834988 244054.743 205192.849 235469.959 4.19675 8.28852 4.96136 0.0002535635 0.07070 334.001 0.009766 850.761 291.515 0.00010323433 0.00020530516 0.0001035437 0.0000840158 243438.898 204447.235 234649.288 4.24020 8.00530 4.95132 0.0002539075 0.13454 335.027 0.009796 850.138 291.240 0.00010285754 0.00020604012 0.0001033553 0.0000845475 242814.731 203696.766 233814.299 4.28544 7.71021 4.94111 0.0002542508 0.19734 336.019 0.009825 849.548 290.983 0.00010248863 0.00020674946 0.0001031641 0.0000850582 242223.789 202991.357 233020.691 4.32945 7.42297 4.93140 0.0002545703 0.25493 337.010 0.009854 848.968 290.733 0.00010211519 0.00020745760 0.0001029641 0.0000855654 241644.992 202305.538 232240.432 4.37373 7.13383 4.92185 0.0002548776 0.30946 338.002 0.009883 848.400 290.492 0.00010173729 0.00020816446 0.0001027554 0.0000860692 241078.276 201639.196 231473.550 4.41827 6.84283 4.91247 0.0002551726 0.36093 339.028 0.009913 847.824 290.251 0.00010134174 0.00020889426 0.0001025304 0.0000865864 240504.660 200970.256 230694.325 4.46463 6.53989 4.90294 0.0002554648 0.41097 340.020 0.009942 847.278 290.025 0.00010095498 0.00020959827 0.0001023040 0.0000870825 239962.316 200343.199 229954.728 4.50970 6.24526 4.89389 0.0002557345 0.45625 341.012 0.009971 846.744 289.808 0.00010056399 0.00021030076 0.0001020691 0.0000875746 239431.847 199735.287 229228.570 4.55503 5.94891 4.88501 0.0002559917 0.49849 342.004 0.010000 846.220 289.598 0.00010016882 0.00021100165 0.0001018258 0.0000880625 238913.183 199146.411 228515.867 4.60059 5.65089 4.87629 0.0002562363 0.53771 343.030 0.010030 845.690 289.389 0.00009975570 0.00021172495 0.0001015652 0.0000885628 238388.982 198557.149 227792.761 4.64798 5.34088 4.86744 0.0002564760 0.57510 344.021 0.010059 845.189 289.196 0.00009935226 0.00021242235 0.0001013048 0.0000890418 237894.115 198006.679 227107.469 4.69403 5.03959 4.85906 0.0002566946 0.60819 345.013 0.010088 844.699 289.010 0.00009894486 0.00021311793 0.0001010362 0.0000895163 237410.832 197474.930 226435.664 4.74030 4.73677 4.85084 0.0002569005 0.63828 346.005 0.010117 844.220 288.831 0.00009853357 0.00021381161 0.0001007593 0.0000899861 236939.060 196961.802 225777.349 4.78679 4.43246 4.84279 0.0002570934 0.66538 347.031 0.010147 843.736 288.655 0.00009810408 0.00021452713 0.0001004645 0.0000904669 236463.050 196450.470 225110.536 4.83511 4.11613 4.83463 0.0002572794 0.69027 348.023 0.010176 843.280 288.492 0.00009768510 0.00021521672 0.0001001713 0.0000909267 236014.457 195974.924 224479.679 4.88203 3.80892 4.82691 0.0002574460 0.71132 349.015 0.010205 842.834 288.337 0.00009726244 0.00021590420 0.0000998702 0.0000913813 235577.140 195517.706 223862.318 4.92915 3.50036 4.81936 0.0002575994 0.72941 350.006 0.010234 842.399 288.189 0.00009683619 0.00021658949 0.0000995612 0.0000918306 235151.018 195078.725 223258.451 4.97646 3.19049 4.81197 0.0002577398 0.74455 351.032 0.010264 841.960 288.045 0.00009639151 0.00021729604 0.0000992335 0.0000922897 234721.899 194643.701 222647.956 5.02560 2.86859 4.80451 0.0002578712 0.75713 352.024 0.010293 841.547 287.912 0.00009595814 0.00021797667 0.0000989090 0.0000927278 234318.306 194241.546 222071.529 5.07328 2.55619 4.79746 0.0002579848 0.76631 353.016 0.010322 841.144 287.788 0.00009552138 0.00021865492 0.0000985769 0.0000931603 233925.662 193857.361 221508.578 5.12114 2.24260 4.79057 0.0002580852 0.77258 354.008 0.010351 840.753 287.670 0.00009508131 0.00021933070 0.0000982374 0.0000935870 233543.883 193491.065 220959.096 5.16915 1.92788 4.78385 0.0002581723 0.77596 355.034 0.010381 840.358 287.557 0.00009462264 0.00022002712 0.0000978784 0.0000940221 233160.284 193130.876 220404.830 5.21899 1.60116 4.77707 0.0002582485 0.77641 356.026 0.010410 839.988 287.454 0.00009417604 0.00022069769 0.0000975241 0.0000944365 232800.350 192800.726 219882.720 5.26731 1.28427 4.77068 0.0002583086 0.77393 357.017 0.010439 839.629 287.359 0.00009372633 0.00022136559 0.0000971626 0.0000948447 232451.024 192488.229 219374.045 5.31577 0.96638 4.76446 0.0002583554 0.76859 358.009 0.010468 839.279 287.272 0.00009327360 0.00022203076 0.0000967942 0.0000952467 232112.218 192193.311 218878.795 5.36437 0.64754 4.75840 0.0002583889 0.76041 359.001 0.010497 838.941 287.192 0.00009281791 0.00022269314 0.0000964188 0.0000956422 231783.846 191915.901 218396.953 5.41308 0.32778 4.75250 0.0002584090 0.74939 360.027 0.010527 838.601 287.116 0.00009234347 0.00022337535 0.0000960233 0.0000960444 231455.035 191647.279 217912.593 5.46360 -0.00392 4.74658 0.0002584157 0.73503 Engine speed (Hz) = 95.0000000000 Output power (W) = 69.7778792786 Heat into heater (W) = 519.0418365068 Heat to regenerator (W) = -0.3725001705 Heat removal from cooler (W) = 450.9249676495 Approximate Pumping loss (W) = -468.2321731909 Thermal efficiency (%) = 13.4435944024 The average engine pressure (Pa) = 276697.5907583732 The exp space work per cycle (J) = 5.4705639514 The comp space work per cycle (J) = -4.7360599590 The net work per cycle (J) = 0.7345039924 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.8729455815 The expansion work for Vmin-to-Vmax (J) = 24.6074495739 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 839.570 287.157 0.00009245369 0.00022313361 0.0000960338 0.0000960339 231973.744 191488.200 218219.216 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.002 0.000029 839.253 287.091 0.00009198818 0.00022379654 0.0000956408 0.0000964201 231666.597 191243.541 217758.985 0.04895 -0.32440 -0.00563 0.0002584089 -0.01711 2.004 0.000058 838.946 287.031 0.00009151983 0.00022445646 0.0000952411 0.0000967993 231369.787 191016.596 217312.371 0.09799 -0.64962 -0.01109 0.0002583885 -0.03706 3.007 0.000087 838.650 286.980 0.00009104874 0.00022511330 0.0000948348 0.0000971716 231083.220 190807.304 216879.358 0.14712 -0.97561 -0.01639 0.0002583544 -0.05984 4.009 0.000116 838.363 286.935 0.00009057497 0.00022576699 0.0000944221 0.0000975366 230806.798 190615.605 216459.928 0.19632 -1.30233 -0.02152 0.0002583067 -0.08545 5.011 0.000145 838.087 286.898 0.00009009860 0.00022641746 0.0000940031 0.0000978944 230540.426 190441.444 216054.063 0.24560 -1.62972 -0.02649 0.0002582455 -0.11385 6.013 0.000174 837.821 286.868 0.00008961971 0.00022706464 0.0000935778 0.0000982448 230284.006 190284.766 215661.746 0.29493 -1.95774 -0.03129 0.0002581706 -0.14503 7.016 0.000203 837.565 286.845 0.00008913837 0.00022770846 0.0000931465 0.0000985877 230037.440 190145.522 215282.958 0.34432 -2.28635 -0.03592 0.0002580822 -0.17899 8.018 0.000232 837.319 286.830 0.00008865465 0.00022834886 0.0000927093 0.0000989230 229800.631 190023.663 214917.681 0.39374 -2.61549 -0.04039 0.0002579803 -0.21569 9.020 0.000261 837.083 286.821 0.00008816865 0.00022898577 0.0000922662 0.0000992506 229573.479 189919.144 214565.896 0.44319 -2.94512 -0.04469 0.0002578648 -0.25512 10.022 0.000290 836.856 286.820 0.00008768043 0.00022961910 0.0000918175 0.0000995704 229355.885 189831.923 214227.586 0.49266 -3.27520 -0.04883 0.0002577359 -0.29726 11.025 0.000319 836.640 286.826 0.00008719008 0.00023024881 0.0000913633 0.0000998823 229147.749 189761.960 213902.730 0.54214 -3.60567 -0.05280 0.0002575936 -0.34211 12.027 0.000348 836.433 286.839 0.00008669767 0.00023087480 0.0000909037 0.0001001862 228948.972 189709.218 213591.312 0.59162 -3.93648 -0.05661 0.0002574379 -0.38963 13.029 0.000377 836.235 286.859 0.00008620329 0.00023149701 0.0000904388 0.0001004820 228759.453 189673.662 213293.314 0.64109 -4.26759 -0.06026 0.0002572689 -0.43980 14.031 0.000406 836.047 286.886 0.00008570701 0.00023211537 0.0000899689 0.0001007697 228579.092 189655.261 213008.717 0.69053 -4.59894 -0.06374 0.0002570866 -0.49262 15.034 0.000435 835.868 286.920 0.00008520893 0.00023272979 0.0000894940 0.0001010490 228407.788 189653.985 212737.506 0.73994 -4.93049 -0.06706 0.0002568910 -0.54806 16.001 0.000463 835.704 286.959 0.00008472637 0.00023331924 0.0000890309 0.0001013109 228250.891 189668.978 212488.333 0.78761 -5.25075 -0.07011 0.0002566898 -0.60406 17.004 0.000492 835.543 287.007 0.00008422496 0.00023392572 0.0000885466 0.0001015738 228097.096 189701.287 212243.383 0.83692 -5.58253 -0.07310 0.0002564684 -0.66460 18.006 0.000521 835.392 287.061 0.00008372198 0.00023452805 0.0000880578 0.0001018282 227952.061 189750.649 212011.772 0.88617 -5.91437 -0.07594 0.0002562340 -0.72770 19.008 0.000550 835.249 287.123 0.00008321753 0.00023512614 0.0000875647 0.0001020740 227815.684 189817.046 211793.485 0.93534 -6.24619 -0.07861 0.0002559867 -0.79334 20.010 0.000579 835.115 287.191 0.00008271167 0.00023571992 0.0000870673 0.0001023111 227687.867 189900.460 211588.509 0.98442 -6.57795 -0.08111 0.0002557264 -0.86151 21.012 0.000608 834.990 287.266 0.00008220451 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5.16956 0.0002464582 -1.44972 318.021 0.009202 862.591 296.953 0.00010846125 0.00019361787 0.0001052162 0.0000754202 255199.000 218789.971 249709.897 3.54439 12.25656 5.15689 0.0002469844 -1.33506 319.023 0.009231 861.808 296.550 0.00010817977 0.00019433851 0.0001051824 0.0000759702 254387.483 217718.502 248686.121 3.58334 12.00799 5.14436 0.0002475006 -1.22353 320.026 0.009260 861.036 296.155 0.00010789238 0.00019505971 0.0001051389 0.0000765195 253589.225 216669.028 247674.797 3.62261 11.75659 5.13199 0.0002480064 -1.11515 321.028 0.009289 860.276 295.769 0.00010759918 0.00019578134 0.0001050858 0.0000770679 252804.192 215641.448 246676.035 3.66221 11.50242 5.11977 0.0002485018 -1.00992 322.030 0.009318 859.526 295.391 0.00010730022 0.00019650329 0.0001050232 0.0000776153 252032.349 214635.659 245689.938 3.70212 11.24554 5.10771 0.0002489865 -0.90785 323.032 0.009347 858.787 295.022 0.00010699560 0.00019722544 0.0001049510 0.0000781616 251273.658 213651.553 244716.602 3.74235 10.98600 5.09580 0.0002494606 -0.80893 324.000 0.009375 858.085 294.674 0.00010669616 0.00019792276 0.0001048722 0.0000786877 250553.570 212721.854 243789.026 3.78149 10.73293 5.08446 0.0002499079 -0.71642 325.002 0.009404 857.368 294.321 0.00010638060 0.00019864497 0.0001047812 0.0000792312 249820.607 211780.046 242841.035 3.82234 10.46831 5.07286 0.0002503604 -0.62371 326.004 0.009433 856.663 293.977 0.00010605959 0.00019936704 0.0001046808 0.0000797729 249100.667 210859.590 241906.061 3.86350 10.20118 5.06142 0.0002508017 -0.53416 327.007 0.009462 855.969 293.642 0.00010573321 0.00020008888 0.0001045709 0.0000803129 248393.704 209960.371 240984.178 3.90498 9.93160 5.05014 0.0002512318 -0.44778 328.009 0.009491 855.286 293.314 0.00010540152 0.00020081037 0.0001044515 0.0000808508 247699.667 209082.271 240075.456 3.94675 9.65962 5.03903 0.0002516503 -0.36456 329.011 0.009520 854.615 292.996 0.00010506460 0.00020153142 0.0001043228 0.0000813865 247018.503 208225.174 239179.960 3.98884 9.38529 5.02807 0.0002520574 -0.28450 330.013 0.009549 853.955 292.685 0.00010472252 0.00020225193 0.0001041847 0.0000819200 246350.160 207388.960 238297.750 4.03122 9.10866 5.01728 0.0002524527 -0.20759 331.016 0.009578 853.306 292.383 0.00010437537 0.00020297179 0.0001040374 0.0000824509 245694.582 206573.511 237428.883 4.07390 8.82978 5.00665 0.0002528363 -0.13385 332.018 0.009607 852.669 292.089 0.00010402320 0.00020369092 0.0001038807 0.0000829792 245051.710 205778.706 236573.408 4.11687 8.54870 4.99619 0.0002532079 -0.06325 333.020 0.009636 852.043 291.804 0.00010366611 0.00020440921 0.0001037148 0.0000835046 244421.485 205004.427 235731.375 4.16014 8.26547 4.98589 0.0002535675 0.00419 334.022 0.009665 851.429 291.527 0.00010330415 0.00020512658 0.0001035398 0.0000840271 243803.846 204250.553 234902.824 4.20369 7.98014 4.97575 0.0002539149 0.06848 335.025 0.009694 850.825 291.258 0.00010293740 0.00020584294 0.0001033557 0.0000845464 243198.730 203516.967 234087.797 4.24752 7.69276 4.96578 0.0002542501 0.12964 336.027 0.009723 850.234 290.997 0.00010256594 0.00020655820 0.0001031625 0.0000850624 242606.073 202803.549 233286.328 4.29163 7.40337 4.95598 0.0002545729 0.18766 337.029 0.009752 849.653 290.745 0.00010218984 0.00020727227 0.0001029603 0.0000855750 242025.807 202110.181 232498.449 4.33601 7.11202 4.94634 0.0002548833 0.24255 338.031 0.009781 849.084 290.500 0.00010180917 0.00020798506 0.0001027491 0.0000860839 241457.866 201436.749 231724.189 4.38066 6.81877 4.93687 0.0002551811 0.29431 339.034 0.009810 848.527 290.264 0.00010142400 0.00020869650 0.0001025291 0.0000865891 240902.179 200783.134 230963.573 4.42557 6.52365 4.92756 0.0002554663 0.34296 340.001 0.009838 847.999 290.044 0.00010104792 0.00020938205 0.0001023084 0.0000870731 240377.217 200170.756 230242.152 4.46917 6.23699 4.91874 0.0002557295 0.38698 341.004 0.009867 847.463 289.823 0.00010065412 0.00021009059 0.0001020711 0.0000875705 239845.411 199555.763 229508.416 4.51458 5.93835 4.90976 0.0002559896 0.42952 342.006 0.009896 846.939 289.611 0.00010025604 0.00021079753 0.0001018252 0.0000880636 239325.646 198960.254 228788.380 4.56024 5.63799 4.90095 0.0002562368 0.46897 343.008 0.009925 846.426 289.407 0.00009985376 0.00021150280 0.0001015708 0.0000885523 238817.847 198384.118 228082.060 4.60614 5.33595 4.89231 0.0002564711 0.50534 344.010 0.009954 845.925 289.210 0.00009944733 0.00021220631 0.0001013078 0.0000890365 238321.939 197827.248 227389.466 4.65227 5.03228 4.88384 0.0002566922 0.53862 345.012 0.009983 845.434 289.022 0.00009903684 0.00021290800 0.0001010363 0.0000895160 237837.844 197289.537 226710.607 4.69863 4.72702 4.87553 0.0002569003 0.56884 346.015 0.010012 844.955 288.841 0.00009862236 0.00021360779 0.0001007566 0.0000899907 237365.484 196770.880 226045.489 4.74521 4.42023 4.86740 0.0002570953 0.59600 347.017 0.010041 844.487 288.669 0.00009820396 0.00021430561 0.0001004686 0.0000904604 236904.778 196271.176 225394.115 4.79201 4.11195 4.85943 0.0002572770 0.62012 348.019 0.010070 844.030 288.504 0.00009778171 0.00021500137 0.0001001723 0.0000909250 236455.645 195790.325 224756.490 4.83902 3.80221 4.85163 0.0002574454 0.64120 349.021 0.010099 843.584 288.347 0.00009735568 0.00021569502 0.0000998681 0.0000913844 236018.004 195328.228 224132.611 4.88622 3.49108 4.84400 0.0002576005 0.65926 350.024 0.010128 843.150 288.197 0.00009692595 0.00021638647 0.0000995558 0.0000918384 235591.771 194884.790 223522.478 4.93362 3.17858 4.83653 0.0002577422 0.67430 351.026 0.010157 842.726 288.056 0.00009649259 0.00021707565 0.0000992356 0.0000922868 235176.863 194459.917 222926.086 4.98121 2.86478 4.82924 0.0002578704 0.68634 352.028 0.010186 842.313 287.922 0.00009605567 0.00021776251 0.0000989077 0.0000927296 234773.192 194053.520 222343.432 5.02898 2.54971 4.82211 0.0002579853 0.69539 353.030 0.010215 841.911 287.796 0.00009561527 0.00021844696 0.0000985720 0.0000931665 234380.674 193665.509 221774.507 5.07692 2.23341 4.81515 0.0002580866 0.70147 354.033 0.010244 841.520 287.677 0.00009517145 0.00021912894 0.0000982288 0.0000935976 233999.221 193295.799 221219.303 5.12502 1.91594 4.80836 0.0002581744 0.70459 355.000 0.010272 841.153 287.570 0.00009473976 0.00021978499 0.0000978903 0.0000940080 233641.337 192956.125 220696.255 5.17162 1.60835 4.80196 0.0002582463 0.70479 356.003 0.010301 840.783 287.466 0.00009428945 0.00022046190 0.0000975324 0.0000944269 233281.373 192622.145 220167.992 5.22002 1.28870 4.79550 0.0002583074 0.70212 357.005 0.010330 840.424 287.370 0.00009383594 0.00022113615 0.0000971673 0.0000948396 232932.208 192306.227 219653.419 5.26857 0.96800 4.78920 0.0002583549 0.69653 358.007 0.010359 840.076 287.281 0.00009337930 0.00022180764 0.0000967950 0.0000952458 232593.752 192008.295 219152.523 5.31724 0.64631 4.78307 0.0002583888 0.68803 359.009 0.010388 839.738 287.200 0.00009291962 0.00022247633 0.0000964156 0.0000956454 232265.913 191728.277 218665.289 5.36604 0.32367 4.77711 0.0002584091 0.67663 360.012 0.010417 839.410 287.126 0.00009245696 0.00022314214 0.0000960294 0.0000960384 231948.598 191466.102 218191.703 5.41495 0.00012 4.77132 0.0002584157 0.66236 Engine speed (Hz) = 96.0000000000 Output power (W) = 63.5343006926 Heat into heater (W) = 519.8354309181 Heat to regenerator (W) = 0.0112151514 Heat removal from cooler (W) = 458.0468313984 Approximate Pumping loss (W) = -480.7791280179 Thermal efficiency (%) = 12.2220027558 The average engine pressure (Pa) = 276777.7286725196 The exp space work per cycle (J) = 5.4236281969 The comp space work per cycle (J) = -4.7618125647 The net work per cycle (J) = 0.6618156322 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.9129060270 The expansion work for Vmin-to-Vmax (J) = 24.5747216592 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.012 0.000000 840.372 287.164 0.00009255410 0.00022291889 0.0000960294 0.0000960384 232458.372 191299.660 218485.689 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.024 0.000029 840.056 287.097 0.00009208447 0.00022358808 0.0000956321 0.0000964285 232152.189 191053.046 218020.490 0.04902 -0.32734 -0.00569 0.0002584086 -0.01760 2.002 0.000057 839.761 287.039 0.00009162826 0.00022423131 0.0000952421 0.0000967984 231866.537 190832.127 217584.495 0.09644 -0.64420 -0.01102 0.0002583885 -0.03735 3.015 0.000086 839.466 286.987 0.00009115297 0.00022489446 0.0000948316 0.0000971745 231580.915 190621.062 217146.544 0.14564 -0.97317 -0.01638 0.0002583541 -0.06065 4.027 0.000115 839.181 286.942 0.00009067491 0.00022555445 0.0000944145 0.0000975432 231305.605 190427.993 216722.430 0.19492 -1.30290 -0.02157 0.0002583057 -0.08684 5.005 0.000143 838.916 286.906 0.00009021079 0.00022618860 0.0000940056 0.0000978922 231049.477 190258.602 216326.053 0.24256 -1.62194 -0.02642 0.0002582459 -0.11483 6.018 0.000172 838.652 286.876 0.00008972752 0.00022684214 0.0000935760 0.0000982463 230794.137 190100.737 215929.083 0.29196 -1.95303 -0.03128 0.0002581703 -0.14662 7.030 0.000201 838.397 286.853 0.00008924173 0.00022749231 0.0000931401 0.0000985927 230548.805 189960.703 215545.895 0.34142 -2.28474 -0.03596 0.0002580808 -0.18124 8.008 0.000229 838.161 286.838 0.00008877036 0.00022811678 0.0000927135 0.0000989197 230321.331 189842.372 215188.980 0.38920 -2.60556 -0.04033 0.0002579813 -0.21733 9.021 0.000258 837.926 286.830 0.00008827982 0.00022876010 0.0000922659 0.0000992508 230095.366 189737.247 214832.826 0.43872 -2.93834 -0.04469 0.0002578647 -0.25745 10.034 0.000287 837.702 286.829 0.00008778698 0.00022939983 0.0000918125 0.0000995739 229879.100 189649.816 214490.397 0.48826 -3.27161 -0.04887 0.0002577344 -0.30035 11.011 0.000315 837.494 286.835 0.00008730903 0.00023001402 0.0000913694 0.0000998782 229679.394 189582.150 214172.782 0.53610 -3.59378 -0.05276 0.0002575956 -0.34438 12.024 0.000344 837.288 286.848 0.00008681192 0.00023064647 0.0000909050 0.0001001853 229481.881 189529.381 213857.275 0.58565 -3.92783 -0.05662 0.0002574384 -0.39267 13.002 0.000372 837.099 286.868 0.00008633000 0.00023125350 0.0000904516 0.0001004740 229300.086 189495.114 213565.619 0.63348 -4.25068 -0.06019 0.0002572737 -0.44188 14.014 0.000401 836.912 286.895 0.00008582893 0.00023187839 0.0000899769 0.0001007649 229120.917 189476.870 213276.963 0.68299 -4.58533 -0.06372 0.0002570898 -0.49550 15.027 0.000430 836.735 286.930 0.00008532597 0.00023249932 0.0000894971 0.0001010473 228950.924 189476.147 213001.941 0.73247 -4.92020 -0.06708 0.0002568923 -0.55179 16.005 0.000458 836.573 286.970 0.00008483863 0.00023309502 0.0000890291 0.0001013118 228795.398 189492.047 212749.324 0.78020 -5.24369 -0.07017 0.0002566890 -0.60867 17.018 0.000487 836.414 287.018 0.00008433221 0.00023370794 0.0000885398 0.0001015774 228643.126 189525.683 212501.050 0.82958 -5.57886 -0.07321 0.0002564652 -0.67017 18.030 0.000516 836.264 287.074 0.00008382414 0.00023431668 0.0000880459 0.0001018343 228499.713 189576.767 212266.361 0.87890 -5.91410 -0.07608 0.0002562281 -0.73430 19.008 0.000544 836.128 287.134 0.00008333212 0.00023490037 0.0000875647 0.0001020740 228369.550 189642.626 212052.640 0.92644 -6.23780 -0.07870 0.0002559867 -0.79868 20.021 0.000573 835.996 287.204 0.00008282110 0.00023550064 0.0000870621 0.0001023135 228243.236 189727.948 211844.609 0.97559 -6.57303 -0.08124 0.0002557237 -0.86789 21.033 0.000602 835.873 287.280 0.00008230870 0.00023609647 0.0000865554 0.0001025441 228125.466 189830.668 211650.121 1.02464 -6.90816 -0.08362 0.0002554476 -0.93966 22.011 0.000630 835.763 287.361 0.00008181274 0.00023666746 0.0000860624 0.0001027583 228019.763 189946.341 211475.177 1.07189 -7.23160 -0.08576 0.0002551687 -1.01136 23.024 0.000659 835.657 287.451 0.00008129790 0.00023725433 0.0000855479 0.0001029712 227918.476 190083.222 211307.273 1.12071 -7.56640 -0.08781 0.0002548672 -1.08809 24.002 0.000687 835.562 287.544 0.00008079977 0.00023781651 0.0000850478 0.0001031681 227828.494 190231.862 211157.979 1.16771 -7.88941 -0.08964 0.0002545639 -1.16455 25.014 0.000716 835.473 287.648 0.00008028284 0.00023839407 0.0000845262 0.0001033630 227743.290 190402.874 211016.622 1.21625 -8.22364 -0.09137 0.0002542373 -1.24617 26.027 0.000745 835.392 287.758 0.00007976500 0.00023896675 0.0000840014 0.0001035487 227666.116 190591.244 210888.762 1.26463 -8.55751 -0.09293 0.0002538980 -1.33023 27.005 0.000773 835.322 287.872 0.00007926423 0.00023951499 0.0000834916 0.0001037191 227599.129 190789.588 210778.114 1.31117 -8.87945 -0.09429 0.0002535587 -1.41371 28.017 0.000802 835.258 287.995 0.00007874486 0.00024007783 0.0000829605 0.0001038864 227537.447 191012.074 210676.770 1.35919 -9.21241 -0.09553 0.0002531950 -1.50252 29.030 0.000831 835.201 288.126 0.00007822486 0.00024063552 0.0000824267 0.0001040443 227483.503 191251.919 210588.914 1.40702 -9.54481 -0.09660 0.0002528190 -1.59373 30.008 0.000859 835.154 288.259 0.00007772228 0.00024116899 0.0000819086 0.0001041878 227438.670 191499.969 210516.888 1.45299 -9.86517 -0.09748 0.0002524444 -1.68403 31.020 0.000888 835.113 288.402 0.00007720133 0.00024171626 0.0000813696 0.0001043270 227399.656 191773.946 210455.550 1.50039 -10.19631 -0.09823 0.0002520446 -1.77985 32.033 0.000917 835.080 288.553 0.00007668004 0.00024225806 0.0000808282 0.0001044568 227368.103 192065.297 210407.712 1.54754 -10.52671 -0.09882 0.0002516329 -1.87798 33.011 0.000945 835.055 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9.36176 5.05242 0.0002520640 -0.34989 330.006 0.009450 854.622 292.709 0.00010479664 0.00020205959 0.0001041859 0.0000819158 246714.401 207219.008 238573.336 3.99369 9.09281 5.04190 0.0002524497 -0.27502 331.018 0.009479 853.971 292.403 0.00010444733 0.00020278521 0.0001040370 0.0000824522 246056.530 206394.069 237696.082 4.03646 8.81199 5.03117 0.0002528372 -0.20064 332.031 0.009508 853.333 292.105 0.00010409289 0.00020351011 0.0001038786 0.0000829860 245411.628 205590.261 236832.455 4.07954 8.52891 5.02061 0.0002532126 -0.12949 333.009 0.009536 852.727 291.826 0.00010374588 0.00020420924 0.0001037168 0.0000834986 244801.212 204834.105 236011.584 4.12140 8.25349 5.01056 0.0002535634 -0.06385 334.021 0.009565 852.111 291.545 0.00010338158 0.00020493245 0.0001035400 0.0000840265 244181.617 204071.468 235174.882 4.16504 7.96612 5.00033 0.0002539145 0.00098 335.034 0.009594 851.506 291.273 0.00010301238 0.00020565466 0.0001033539 0.0000845512 243574.801 203329.594 234351.941 4.20896 7.67664 4.99026 0.0002542532 0.06259 336.012 0.009622 850.934 291.018 0.00010265133 0.00020635093 0.0001031655 0.0000850547 243000.971 202632.886 233570.470 4.25163 7.39519 4.98070 0.0002545681 0.11904 337.024 0.009651 850.352 290.762 0.00010227271 0.00020707091 0.0001029612 0.0000855726 242419.073 201931.462 232774.683 4.29610 7.10170 4.97097 0.0002548819 0.17436 338.002 0.009679 849.802 290.523 0.00010190270 0.00020776486 0.0001027554 0.0000860692 241869.172 201273.583 232019.490 4.33929 6.81648 4.96173 0.0002551726 0.22474 339.015 0.009708 849.243 290.283 0.00010151495 0.00020848227 0.0001025333 0.0000865797 241311.919 200612.141 231250.974 4.38428 6.51919 4.95233 0.0002554611 0.27379 340.028 0.009737 848.696 290.052 0.00010112266 0.00020919826 0.0001023023 0.0000870862 240767.095 199970.863 230496.370 4.42953 6.22003 4.94310 0.0002557365 0.31966 341.005 0.009765 848.178 289.837 0.00010073966 0.00020988811 0.0001020707 0.0000875714 240252.781 199370.721 229781.005 4.47346 5.92945 4.93435 0.0002559901 0.36094 342.018 0.009794 847.654 289.622 0.00010033867 0.00021060104 0.0001018222 0.0000880695 239732.166 198768.735 229053.801 4.51921 5.62676 4.92545 0.0002562398 0.40059 343.031 0.009823 847.141 289.415 0.00009993337 0.00021131230 0.0001015649 0.0000885633 239223.753 198186.570 228340.561 4.56519 5.32234 4.91672 0.0002564762 0.43708 344.008 0.009851 846.656 289.223 0.00009953801 0.00021199737 0.0001013083 0.0000890356 238744.374 197643.182 227665.176 4.60981 5.02682 4.90846 0.0002566919 0.46933 345.021 0.009880 846.166 289.032 0.00009912443 0.00021270511 0.0001010340 0.0000895201 238259.710 197099.649 226979.414 4.65626 4.71914 4.90007 0.0002569021 0.49965 346.034 0.009909 845.687 288.850 0.00009870675 0.00021341095 0.0001007512 0.0000899997 237787.007 196575.609 226307.644 4.70292 4.40988 4.89186 0.0002570988 0.52684 347.012 0.009937 845.235 288.681 0.00009829966 0.00021409057 0.0001004701 0.0000904579 237341.876 196088.037 225672.320 4.74818 4.10982 4.88408 0.0002572760 0.55014 348.024 0.009966 844.778 288.514 0.00009787415 0.00021479244 0.0001001708 0.0000909273 236892.439 195602.005 225028.064 4.79527 3.79757 4.87620 0.0002574462 0.57123 349.002 0.009994 844.348 288.360 0.00009745963 0.00021546809 0.0000998740 0.0000913755 236469.613 195150.938 224419.308 4.84092 3.49472 4.86876 0.0002575976 0.58865 350.015 0.010023 843.913 288.209 0.00009702656 0.00021616572 0.0000995586 0.0000918343 236043.110 194702.521 223802.568 4.88840 3.17966 4.86121 0.0002577410 0.60367 351.027 0.010052 843.490 288.066 0.00009658976 0.00021686107 0.0000992352 0.0000922874 235628.145 194273.097 223199.823 4.93606 2.86325 4.85384 0.0002578706 0.61562 352.005 0.010080 843.092 287.935 0.00009616454 0.00021753023 0.0000989153 0.0000927195 235238.352 193876.413 222631.138 4.98226 2.55651 4.84688 0.0002579828 0.62426 353.018 0.010109 842.690 287.807 0.00009572062 0.00021822091 0.0000985763 0.0000931611 234845.803 193484.047 222055.885 5.03027 2.23756 4.83984 0.0002580854 0.63022 354.030 0.010138 842.300 287.687 0.00009527318 0.00021890911 0.0000982295 0.0000935966 234464.522 193110.402 221494.609 5.07845 1.91740 4.83298 0.0002581742 0.63314 355.008 0.010166 841.933 287.578 0.00009483791 0.00021957115 0.0000978875 0.0000940113 234106.996 192767.325 220965.940 5.12511 1.60716 4.82651 0.0002582468 0.63311 356.021 0.010195 841.564 287.474 0.00009438379 0.00022025427 0.0000975258 0.0000944346 233747.594 192430.228 220432.105 5.17359 1.28473 4.81998 0.0002583084 0.63012 357.034 0.010224 841.206 287.377 0.00009392638 0.00022093469 0.0000971567 0.0000948514 233399.183 192111.605 219912.214 5.22221 0.96121 4.81362 0.0002583561 0.62415 358.011 0.010252 840.871 287.290 0.00009348169 0.00022158904 0.0000967934 0.0000952475 233073.125 191821.424 219423.470 5.26928 0.64786 4.80764 0.0002583889 0.61557 359.024 0.010281 840.534 287.208 0.00009301802 0.00022226397 0.0000964100 0.0000956513 232746.038 191538.886 218930.948 5.31815 0.32235 4.80162 0.0002584093 0.60376 360.002 0.010309 840.219 287.136 0.00009256744 0.00022291288 0.0000960331 0.0000960346 232440.387 191283.408 218468.601 5.36545 0.00717 4.79596 0.0002584157 0.58958 Engine speed (Hz) = 97.0000000000 Output power (W) = 57.1351356039 Heat into heater (W) = 520.4485890539 Heat to regenerator (W) = 0.6951467190 Heat removal from cooler (W) = 465.2081044704 Approximate Pumping loss (W) = -493.4781120303 Thermal efficiency (%) = 10.9780556246 The average engine pressure (Pa) = 276852.4844467068 The exp space work per cycle (J) = 5.3771261379 The comp space work per cycle (J) = -4.7881041214 The net work per cycle (J) = 0.5890220165 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.9531095207 The expansion work for Vmin-to-Vmax (J) = 24.5421315372 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.018 0.000001 841.177 287.171 0.00009265650 0.00022270100 0.0000960268 0.0000960409 232944.642 191112.396 218754.917 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.006 0.000029 840.874 287.106 0.00009219918 0.00022335317 0.0000956394 0.0000964215 232649.866 190871.978 218300.678 0.04739 -0.31884 -0.00556 0.0002584089 -0.01741 2.029 0.000058 840.569 287.045 0.00009172257 0.00022402563 0.0000952313 0.0000968085 232355.065 190641.183 217844.100 0.09656 -0.64995 -0.01114 0.0002583878 -0.03836 3.017 0.000086 840.286 286.995 0.00009125962 0.00022467195 0.0000948307 0.0000971753 232080.472 190435.865 217416.655 0.14412 -0.97044 -0.01637 0.0002583540 -0.06140 4.005 0.000114 840.012 286.951 0.00009079400 0.00022531528 0.0000944239 0.0000975350 231815.649 190247.702 217002.348 0.19175 -1.29168 -0.02144 0.0002583070 -0.08718 5.028 0.000143 839.739 286.913 0.00009030902 0.00022597839 0.0000939961 0.0000979002 231551.564 190070.847 216587.077 0.24116 -1.62513 -0.02652 0.0002582443 -0.11676 6.016 0.000171 839.485 286.884 0.00008983821 0.00022661547 0.0000935769 0.0000982455 231306.331 189917.444 216199.463 0.28891 -1.94775 -0.03126 0.0002581704 -0.14807 7.003 0.000199 839.241 286.862 0.00008936496 0.00022724939 0.0000931518 0.0000985835 231070.572 189781.040 215824.934 0.33672 -2.27099 -0.03584 0.0002580834 -0.18208 8.027 0.000228 838.998 286.846 0.00008887230 0.00022790252 0.0000927055 0.0000989258 230836.276 189657.638 215450.806 0.38627 -2.60636 -0.04042 0.0002579793 -0.22013 9.014 0.000256 838.774 286.838 0.00008839430 0.00022852978 0.0000922688 0.0000992487 230619.500 189555.703 215102.862 0.43413 -2.93071 -0.04468 0.0002578655 -0.25957 10.002 0.000284 838.558 286.837 0.00008791409 0.00022915366 0.0000918266 0.0000995640 230411.898 189470.637 214767.949 0.48202 -3.25552 -0.04877 0.0002577387 -0.30165 11.025 0.000313 838.345 286.844 0.00008741446 0.00022979620 0.0000913630 0.0000998825 230206.445 189400.276 214434.795 0.53162 -3.59239 -0.05285 0.0002575935 -0.34800 12.013 0.000341 838.148 286.857 0.00008692995 0.00023041301 0.0000909100 0.0001001821 230017.208 189349.437 214126.357 0.57952 -3.91804 -0.05662 0.0002574401 -0.39541 13.001 0.000369 837.960 286.877 0.00008644346 0.00023102624 0.0000904519 0.0001004738 229836.838 189315.361 213830.897 0.62740 -4.24402 -0.06024 0.0002572738 -0.44540 14.024 0.000398 837.776 286.905 0.00008593758 0.00023165753 0.0000899723 0.0001007676 229659.267 189297.707 213538.548 0.67697 -4.58194 -0.06381 0.0002570879 -0.49989 15.012 0.000426 837.606 286.939 0.00008544727 0.00023226327 0.0000895043 0.0001010431 229496.636 189297.665 213269.455 0.72480 -4.90846 -0.06710 0.0002568954 -0.55510 16.035 0.000455 837.440 286.981 0.00008493760 0.00023288664 0.0000890146 0.0001013199 229337.219 189315.205 213004.379 0.77429 -5.24685 -0.07035 0.0002566825 -0.61495 17.023 0.000483 837.289 287.029 0.00008444380 0.00023348459 0.0000885372 0.0001015788 229191.904 189349.095 212761.586 0.82202 -5.57371 -0.07332 0.0002564640 -0.67530 18.011 0.000511 837.146 287.084 0.00008394841 0.00023407860 0.0000880554 0.0001018294 229054.940 189399.621 212531.687 0.86969 -5.90066 -0.07613 0.0002562328 -0.73814 19.034 0.000540 837.007 287.147 0.00008343373 0.00023468959 0.0000875519 0.0001020802 228921.779 189469.472 212307.158 0.91899 -6.23933 -0.07888 0.0002559801 -0.80584 20.022 0.000568 836.881 287.216 0.00008293535 0.00023527535 0.0000870616 0.0001023138 228801.500 189553.814 212103.467 0.96650 -6.56632 -0.08137 0.0002557234 -0.87370 21.010 0.000596 836.764 287.291 0.00008243561 0.00023585694 0.0000865674 0.0001025388 228689.262 189654.746 211912.631 1.01391 -6.89325 -0.08370 0.0002554542 -0.94400 22.033 0.000625 836.652 287.375 0.00008191670 0.00023645483 0.0000860514 0.0001027629 228581.385 189776.761 211728.517 1.06291 -7.23174 -0.08595 0.0002551624 -1.01935 23.021 0.000653 836.551 287.464 0.00008141448 0.00023702770 0.0000855496 0.0001029705 228485.205 189911.436 211563.812 1.11010 -7.55840 -0.08797 0.0002548681 -1.09454 24.008 0.000681 836.459 287.559 0.00008091118 0.00023759616 0.0000850442 0.0001031694 228396.760 190062.676 211411.929 1.15716 -7.88483 -0.08983 0.0002545617 -1.17211 25.032 0.000710 836.371 287.664 0.00008038884 0.00023818018 0.0000845173 0.0001033662 228313.205 190236.774 211268.130 1.20575 -8.22264 -0.09159 0.0002542316 -1.25493 26.019 0.000738 836.295 287.772 0.00007988358 0.00023873941 0.0000840053 0.0001035473 228240.200 190421.722 211142.325 1.25251 -8.54846 -0.09313 0.0002539006 -1.33727 27.007 0.000766 836.226 287.887 0.00007937749 0.00023929397 0.0000834902 0.0001037195 228174.632 190623.227 211029.321 1.29912 -8.87390 -0.09451 0.0002535578 -1.42192 28.030 0.000795 836.163 288.013 0.00007885256 0.00023986332 0.0000829537 0.0001038885 228114.460 190849.384 210925.773 1.34720 -9.21051 -0.09577 0.0002531902 -1.51201 29.018 0.000823 836.110 288.141 0.00007834507 0.00024040811 0.0000824329 0.0001040425 228063.735 191084.598 210838.820 1.39343 -9.53500 -0.09684 0.0002528235 -1.60130 30.006 0.000851 836.064 288.276 0.00007783703 0.00024094795 0.0000819096 0.0001041875 228020.159 191336.378 210764.663 1.43947 -9.85893 -0.09775 0.0002524451 -1.69284 31.029 0.000880 836.025 288.422 0.00007731038 0.00024150177 0.0000813650 0.0001043282 227982.467 191614.618 210701.351 1.48693 -10.19379 -0.09852 0.0002520412 -1.79000 32.017 0.000908 835.994 288.569 0.00007680151 0.00024203126 0.0000808368 0.0001044548 227953.167 191900.139 210653.253 1.53253 -10.51641 -0.09911 0.0002516396 -1.88605 33.005 0.000936 835.971 288.723 0.00007629239 0.00024255552 0.0000803066 0.0001045722 227930.746 192202.245 210617.966 1.57789 -10.83830 -0.09954 0.0002512268 -1.98428 34.028 0.000965 835.954 288.889 0.00007576491 0.00024309288 0.0000797554 0.0001046842 227914.687 192532.637 210594.933 1.62461 -11.17084 -0.09982 0.0002507876 -2.08830 35.016 0.000993 835.945 289.056 0.00007525556 0.00024360617 0.0000792213 0.0001047830 227906.016 192868.539 210585.756 1.66945 -11.49103 -0.09993 0.0002503523 -2.19090 36.004 0.001021 835.942 289.229 0.00007474625 0.00024411390 0.0000786857 0.0001048725 227903.978 193221.059 210589.427 1.71403 -11.81029 -0.09989 0.0002499062 -2.29562 37.027 0.001050 835.947 289.415 0.00007421891 0.00024463380 0.0000781294 0.0001049555 227908.783 193603.699 210606.792 1.75989 -12.13991 -0.09968 0.0002494329 -2.40628 38.015 0.001078 835.959 289.600 0.00007371000 0.00024512989 0.0000775909 0.0001050262 227920.026 193990.085 210636.677 1.80386 -12.45707 -0.09931 0.0002489651 -2.51523 39.002 0.001106 835.977 289.792 0.00007320144 0.00024562009 0.0000770513 0.0001050876 227937.691 194393.125 210679.475 1.84753 -12.77311 -0.09879 0.0002484869 -2.62623 40.026 0.001135 836.004 289.997 0.00007267522 0.00024612144 0.0000764914 0.0001051414 227962.692 194828.130 210737.445 1.89240 -13.09917 -0.09808 0.0002479808 -2.74332 41.013 0.001163 836.035 290.202 0.00007216772 0.00024659927 0.0000759500 0.0001051838 227993.246 195265.112 210806.625 1.93539 -13.41269 -0.09723 0.0002474818 -2.85841 42.001 0.001191 836.074 290.412 0.00007166091 0.00024707082 0.0000754079 0.0001052169 228030.051 195718.786 210888.819 1.97802 -13.72486 -0.09623 0.0002469728 -2.97547 43.024 0.001220 836.120 290.636 0.00007113685 0.00024755246 0.0000748459 0.0001052413 228074.715 196206.271 210987.714 2.02178 -14.04669 -0.09502 0.0002464352 -3.09877 44.012 0.001248 836.172 290.859 0.00007063178 0.00024801084 0.0000743030 0.0001052553 228124.116 196693.959 211096.536 2.06365 -14.35589 -0.09369 0.0002459064 -3.21978 45.000 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4.95850 0.0002559975 0.29314 342.022 0.009695 848.373 289.634 0.00010042387 0.00021039956 0.0001018211 0.0000880717 240141.868 198582.417 229324.888 4.47765 5.61609 4.94982 0.0002562408 0.33158 343.010 0.009723 847.877 289.432 0.00010002976 0.00021109207 0.0001015702 0.0000885533 239650.225 198013.988 228629.245 4.52212 5.31994 4.94131 0.0002564715 0.36701 344.033 0.009752 847.375 289.231 0.00009961730 0.00021180760 0.0001013016 0.0000890475 239153.168 197445.071 227922.739 4.56842 5.01150 4.93267 0.0002566972 0.40054 345.021 0.009780 846.902 289.045 0.00009921500 0.00021249671 0.0001010340 0.0000895201 238684.901 196914.795 227254.104 4.61333 4.71210 4.92449 0.0002569021 0.42988 346.009 0.009808 846.439 288.866 0.00009880878 0.00021318405 0.0001007582 0.0000899880 238228.000 196403.106 226598.748 4.65846 4.41118 4.91647 0.0002570942 0.45624 347.032 0.009837 845.972 288.689 0.00009838399 0.00021389399 0.0001004641 0.0000904674 237766.680 195892.632 225933.991 4.70540 4.09795 4.90834 0.0002572796 0.48042 348.020 0.009865 845.531 288.526 0.00009797000 0.00021457750 0.0001001721 0.0000909253 237332.674 195418.477 225305.681 4.75094 3.79405 4.90066 0.0002574455 0.50075 349.008 0.009893 845.101 288.370 0.00009755230 0.00021525902 0.0000998723 0.0000913781 236909.792 194962.614 224690.659 4.79666 3.48876 4.89313 0.0002575984 0.51814 350.031 0.009922 844.667 288.217 0.00009711583 0.00021596272 0.0000995535 0.0000918416 236483.446 194509.656 224067.680 4.84420 3.17114 4.88551 0.0002577431 0.53305 351.019 0.009950 844.259 288.077 0.00009669078 0.00021663999 0.0000992380 0.0000922836 236082.954 194090.748 223479.705 4.89029 2.86314 4.87832 0.0002578696 0.54447 352.007 0.009978 843.861 287.945 0.00009626222 0.00021731507 0.0000989148 0.0000927201 235693.334 193689.858 222905.010 4.93655 2.55387 4.87129 0.0002579829 0.55298 353.030 0.010007 843.460 287.815 0.00009581473 0.00021801188 0.0000985723 0.0000931662 235301.169 193293.555 222323.786 4.98463 2.23227 4.86418 0.0002580865 0.55874 354.018 0.010035 843.084 287.698 0.00009537925 0.00021868230 0.0000982340 0.0000935911 234933.415 192929.084 221776.108 5.03121 1.92056 4.85748 0.0002581731 0.56137 355.005 0.010063 842.718 287.588 0.00009494046 0.00021935032 0.0000978885 0.0000940101 234576.270 192582.380 221241.690 5.07794 1.60770 4.85094 0.0002582466 0.56112 356.028 0.010092 842.350 287.482 0.00009448260 0.00022003962 0.0000975230 0.0000944377 234217.460 192241.940 220702.152 5.12648 1.28253 4.84434 0.0002583088 0.55784 357.016 0.010120 842.006 287.387 0.00009403731 0.00022070259 0.0000971630 0.0000948443 233881.638 191931.166 220194.695 5.17348 0.96749 4.83813 0.0002583554 0.55179 358.004 0.010148 841.671 287.300 0.00009358894 0.00022136297 0.0000967961 0.0000952446 233556.154 191637.929 219700.463 5.22061 0.65145 4.83209 0.0002583887 0.54290 359.027 0.010177 841.336 287.217 0.00009312137 0.00022204414 0.0000964088 0.0000956526 233229.845 191352.634 219202.511 5.26955 0.32311 4.82600 0.0002584093 0.53072 360.015 0.010205 841.022 287.144 0.00009266692 0.00022269906 0.0000960280 0.0000960398 232925.122 191094.887 218735.165 5.31690 0.00514 4.82028 0.0002584157 0.51611 Engine speed (Hz) = 98.0000000000 Output power (W) = 50.5225281373 Heat into heater (W) = 521.0564679806 Heat to regenerator (W) = 0.5041824792 Heat removal from cooler (W) = 472.3873265797 Approximate Pumping loss (W) = -506.3863938564 Thermal efficiency (%) = 9.6961713829 The average engine pressure (Pa) = 276944.5854871953 The exp space work per cycle (J) = 5.3276802345 The comp space work per cycle (J) = -4.8121442331 The net work per cycle (J) = 0.5155360014 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -23.9932839627 The expansion work for Vmin-to-Vmax (J) = 24.5088199641 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.033 0.000001 841.981 287.178 0.00009275440 0.00022248927 0.0000960208 0.0000960469 233428.185 190922.908 219020.297 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.031 0.000029 841.679 287.111 0.00009229316 0.00022314738 0.0000956293 0.0000964312 233134.674 190680.621 218561.344 0.04744 -0.32163 -0.00561 0.0002584085 -0.01791 2.029 0.000057 841.387 287.053 0.00009182902 0.00022380264 0.0000952311 0.0000968087 232851.291 190455.991 218115.802 0.09496 -0.64414 -0.01106 0.0002583878 -0.03865 3.027 0.000085 841.105 287.001 0.00009136207 0.00022445496 0.0000948265 0.0000971791 232577.936 190248.958 217683.656 0.14257 -0.96747 -0.01635 0.0002583536 -0.06221 4.025 0.000113 840.833 286.957 0.00009089237 0.00022510429 0.0000944154 0.0000975424 232314.510 190059.464 217264.887 0.19025 -1.29158 -0.02147 0.0002583059 -0.08857 5.023 0.000141 840.571 286.921 0.00009042000 0.00022575057 0.0000939981 0.0000978986 232060.910 189887.452 216859.479 0.23800 -1.61643 -0.02643 0.0002582447 -0.11771 6.021 0.000169 840.319 286.891 0.00008994503 0.00022639372 0.0000935746 0.0000982474 231817.034 189732.871 216467.414 0.28580 -1.94198 -0.03123 0.0002581700 -0.14962 7.019 0.000197 840.077 286.869 0.00008946754 0.00022703367 0.0000931451 0.0000985888 231582.779 189595.671 216088.675 0.33365 -2.26816 -0.03586 0.0002580819 -0.18429 8.017 0.000225 839.844 286.854 0.00008898759 0.00022767037 0.0000927098 0.0000989226 231358.042 189475.804 215723.242 0.38153 -2.59496 -0.04033 0.0002579804 -0.22169 9.015 0.000253 839.621 286.846 0.00008850528 0.00022830374 0.0000922686 0.0000992488 231142.718 189373.226 215371.098 0.42944 -2.92230 -0.04464 0.0002578655 -0.26181 10.013 0.000281 839.407 286.845 0.00008802066 0.00022893372 0.0000918219 0.0000995673 230936.701 189287.895 215032.224 0.47737 -3.25015 -0.04879 0.0002577372 -0.30463 11.011 0.000309 839.203 286.852 0.00008753383 0.00022956023 0.0000913697 0.0000998780 230739.886 189219.774 214706.602 0.52531 -3.57847 -0.05277 0.0002575957 -0.35013 12.009 0.000337 839.008 286.865 0.00008704485 0.00023018322 0.0000909122 0.0001001807 230552.166 189168.826 214394.213 0.57325 -3.90720 -0.05659 0.0002574409 -0.39829 13.006 0.000365 838.823 286.886 0.00008655380 0.00023080260 0.0000904494 0.0001004754 230373.434 189135.018 214095.039 0.62117 -4.23630 -0.06025 0.0002572728 -0.44909 14.004 0.000393 838.646 286.913 0.00008606076 0.00023141831 0.0000899816 0.0001007620 230203.584 189118.319 213809.062 0.66907 -4.56572 -0.06375 0.0002570917 -0.50253 15.002 0.000421 838.479 286.948 0.00008556582 0.00023203027 0.0000895089 0.0001010404 230042.506 189118.702 213536.265 0.71694 -4.89541 -0.06709 0.0002568973 -0.55857 16.000 0.000449 838.320 286.990 0.00008506904 0.00023263841 0.0000890314 0.0001013106 229890.094 189136.141 213276.630 0.76477 -5.22532 -0.07026 0.0002566900 -0.61720 17.034 0.000478 838.165 287.040 0.00008455269 0.00023326418 0.0000885319 0.0001015816 229741.257 189172.159 213021.580 0.81425 -5.56719 -0.07338 0.0002564615 -0.68062 18.032 0.000506 838.024 287.095 0.00008405244 0.00023386432 0.0000880451 0.0001018346 229606.149 189224.252 212788.688 0.86196 -5.89740 -0.07623 0.0002562278 -0.74446 19.030 0.000534 837.892 287.158 0.00008355062 0.00023446042 0.0000875540 0.0001020792 229479.377 189293.341 212568.910 0.90960 -6.22768 -0.07892 0.0002559812 -0.81082 20.028 0.000562 837.769 287.227 0.00008304729 0.00023505240 0.0000870587 0.0001023151 229360.832 189379.409 212362.230 0.95715 -6.55797 -0.08145 0.0002557218 -0.87970 21.025 0.000590 837.654 287.304 0.00008254256 0.00023564018 0.0000865594 0.0001025424 229250.406 189482.445 212168.636 1.00461 -6.88824 -0.08382 0.0002554498 -0.95106 22.023 0.000618 837.547 287.387 0.00008203649 0.00023622368 0.0000860562 0.0001027609 229147.991 189602.438 211988.114 1.05196 -7.21841 -0.08603 0.0002551651 -1.02488 23.021 0.000646 837.448 287.476 0.00008152919 0.00023680282 0.0000855492 0.0001029707 229053.478 189739.380 211820.653 1.09919 -7.54845 -0.08807 0.0002548679 -1.10115 24.019 0.000674 837.358 287.573 0.00008102073 0.00023737752 0.0000850387 0.0001031716 228966.762 189893.264 211666.242 1.14629 -7.87829 -0.08996 0.0002545583 -1.17985 25.017 0.000702 837.275 287.676 0.00008051121 0.00023794768 0.0000845248 0.0001033635 228887.735 190064.088 211524.872 1.19325 -8.20789 -0.09169 0.0002542363 -1.26095 26.015 0.000730 837.200 287.786 0.00008000071 0.00023851323 0.0000840075 0.0001035465 228816.293 190251.849 211396.535 1.24006 -8.53717 -0.09326 0.0002539021 -1.34444 27.013 0.000758 837.134 287.903 0.00007948933 0.00023907407 0.0000834872 0.0001037205 228752.329 190456.547 211281.225 1.28671 -8.86610 -0.09467 0.0002535557 -1.43028 28.011 0.000786 837.074 288.026 0.00007897716 0.00023963012 0.0000829640 0.0001038854 228695.742 190678.185 211178.938 1.33318 -9.19461 -0.09592 0.0002531973 -1.51847 29.009 0.000814 837.023 288.156 0.00007846429 0.00024018128 0.0000824379 0.0001040411 228646.428 190916.766 211089.671 1.37947 -9.52264 -0.09702 0.0002528270 -1.60897 30.007 0.000842 836.979 288.293 0.00007795082 0.00024072746 0.0000819092 0.0001041876 228604.288 191172.295 211013.422 1.42555 -9.85014 -0.09795 0.0002524448 -1.70177 31.005 0.000870 836.942 288.436 0.00007743684 0.00024126856 0.0000813780 0.0001043249 228569.223 191444.780 210950.194 1.47142 -10.17703 -0.09872 0.0002520510 -1.79684 32.003 0.000898 836.913 288.585 0.00007692245 0.00024180449 0.0000808446 0.0001044530 228541.137 191734.229 210899.989 1.51707 -10.50327 -0.09934 0.0002516456 -1.89415 33.000 0.000926 836.890 288.741 0.00007640775 0.00024233514 0.0000803089 0.0001045717 228519.935 192040.651 210862.814 1.56249 -10.82879 -0.09979 0.0002512287 -1.99370 34.034 0.000955 836.875 288.910 0.00007587445 0.00024287906 0.0000797521 0.0001046848 228505.136 192375.923 210838.056 1.60926 -11.16510 -0.10009 0.0002507849 -2.09913 35.032 0.000983 836.867 289.079 0.00007535943 0.00024339864 0.0000792126 0.0001047845 228497.669 192716.934 210827.434 1.65416 -11.48895 -0.10022 0.0002503451 -2.20313 36.030 0.001011 836.866 289.255 0.00007484440 0.00024391261 0.0000786714 0.0001048748 228496.818 193074.954 210829.877 1.69878 -11.81188 -0.10019 0.0002498942 -2.30930 37.028 0.001039 836.872 289.437 0.00007432949 0.00024442087 0.0000781288 0.0001049556 228502.501 193449.998 210845.400 1.74311 -12.13383 -0.10000 0.0002494324 -2.41760 38.026 0.001067 836.884 289.625 0.00007381478 0.00024492329 0.0000775848 0.0001050269 228514.640 193842.079 210874.025 1.78714 -12.45472 -0.09965 0.0002489598 -2.52801 39.024 0.001095 836.904 289.820 0.00007330039 0.00024541977 0.0000770397 0.0001050888 228533.161 194251.212 210915.776 1.83085 -12.77450 -0.09914 0.0002484765 -2.64050 40.022 0.001123 836.930 290.021 0.00007278644 0.00024591018 0.0000764936 0.0001051412 228557.996 194677.410 210970.681 1.87424 -13.09307 -0.09847 0.0002479827 -2.75506 41.019 0.001151 836.962 290.229 0.00007227302 0.00024639438 0.0000759466 0.0001051840 228589.081 195120.689 211038.773 1.91729 -13.41038 -0.09764 0.0002474786 -2.87166 42.017 0.001179 837.001 290.442 0.00007176027 0.00024687226 0.0000753990 0.0001052173 228626.358 195581.063 211120.089 1.95998 -13.72635 -0.09664 0.0002469643 -2.99027 43.015 0.001207 837.046 290.662 0.00007124828 0.00024734367 0.0000748509 0.0001052411 228669.774 196058.544 211214.669 2.00230 -14.04090 -0.09549 0.0002464400 -3.11087 44.013 0.001235 837.098 290.888 0.00007073718 0.00024780849 0.0000743024 0.0001052553 228719.283 196553.146 211322.560 2.04424 -14.35395 -0.09417 0.0002459058 -3.23343 45.011 0.001263 837.156 291.120 0.00007022710 0.00024826656 0.0000737538 0.0001052600 228774.848 197064.879 211443.815 2.08578 -14.66544 -0.09268 0.0002453618 -3.35793 46.009 0.001291 837.220 291.359 0.00006971814 0.00024871775 0.0000732052 0.0001052551 228836.437 197593.754 211578.490 2.12690 -14.97527 -0.09104 0.0002448084 -3.48435 47.007 0.001319 837.290 291.603 0.00006921044 0.00024916190 0.0000726568 0.0001052407 228904.027 198139.779 211726.650 2.16760 -15.28336 -0.08922 0.0002442455 -3.61266 48.005 0.001347 837.367 291.853 0.00006870412 0.00024959885 0.0000721087 0.0001052167 228977.605 198702.959 211888.365 2.20785 -15.58964 -0.08725 0.0002436734 -3.74284 49.003 0.001375 837.450 292.110 0.00006819931 0.00025002844 0.0000715611 0.0001051832 229057.167 199283.298 212063.714 2.24764 -15.89401 -0.08510 0.0002430923 -3.87486 50.001 0.001403 837.539 292.372 0.00006769613 0.00025045051 0.0000710141 0.0001051401 229142.718 199880.795 212252.781 2.28695 -16.19639 -0.08279 0.0002425023 -4.00869 51.034 0.001432 837.638 292.650 0.00006717686 0.00025087954 0.0000704486 0.0001050855 229237.658 200517.717 212463.164 2.32715 -16.50737 -0.08021 0.0002418820 -4.14919 52.032 0.001460 837.740 292.924 0.00006667744 0.00025128575 0.0000699035 0.0001050230 229335.470 201150.130 212680.459 2.36545 -16.80541 -0.07756 0.0002412745 -4.28664 53.030 0.001488 837.848 293.204 0.00006618007 0.00025168389 0.0000693596 0.0001049511 229439.362 201799.678 212911.786 2.40322 -17.10117 -0.07473 0.0002406587 -4.42582 54.028 0.001516 837.963 293.490 0.00006568489 0.00025207377 0.0000688170 0.0001048698 229549.391 202466.343 213157.271 2.44044 -17.39457 -0.07172 0.0002400348 -4.56672 55.026 0.001544 838.084 293.782 0.00006519204 0.00025245519 0.0000682760 0.0001047790 229665.629 203150.100 213417.047 2.47711 -17.68550 -0.06855 0.0002394029 -4.70931 56.024 0.001572 838.211 294.079 0.00006470167 0.00025282793 0.0000677366 0.0001046787 229788.162 203850.920 213691.263 2.51319 -17.97386 -0.06519 0.0002387633 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0.0002580848 0.48707 354.010 0.009933 843.867 287.708 0.00009548243 0.00021845952 0.0000982366 0.0000935879 235399.806 192746.070 222054.893 4.98341 1.92482 4.88182 0.0002581725 0.48952 355.008 0.009961 843.503 287.597 0.00009504015 0.00021913348 0.0000978876 0.0000940112 235043.241 192395.802 221514.813 5.03020 1.60937 4.87521 0.0002582468 0.48904 356.006 0.009989 843.148 287.493 0.00009459454 0.00021980497 0.0000975312 0.0000944283 234697.385 192063.619 220988.224 5.07712 1.29279 4.86877 0.0002583075 0.48563 357.004 0.010017 842.805 287.397 0.00009414568 0.00022047393 0.0000971677 0.0000948392 234362.144 191749.443 220475.114 5.12417 0.97512 4.86250 0.0002583548 0.47931 358.002 0.010045 842.471 287.309 0.00009369365 0.00022114029 0.0000967970 0.0000952436 234037.423 191453.199 219975.473 5.17135 0.65640 4.85638 0.0002583887 0.47010 359.035 0.010074 842.137 287.225 0.00009322219 0.00022182765 0.0000964057 0.0000956557 233712.094 191165.202 219472.170 5.22034 0.32524 4.85023 0.0002584094 0.45753 360.033 0.010102 841.825 287.151 0.00009276389 0.00022248852 0.0000960210 0.0000960468 233408.493 190905.241 218999.904 5.26774 0.00452 4.84445 0.0002584157 0.44247 Engine speed (Hz) = 99.0000000000 Output power (W) = 43.7465305670 Heat into heater (W) = 521.5065027226 Heat to regenerator (W) = 0.4478014841 Heat removal from cooler (W) = 479.6004773226 Approximate Pumping loss (W) = -519.4532139642 Thermal efficiency (%) = 8.3884918670 The average engine pressure (Pa) = 277034.3679348327 The exp space work per cycle (J) = 5.2782210602 The comp space work per cycle (J) = -4.8363369131 The net work per cycle (J) = 0.4418841471 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.0336624387 The expansion work for Vmin-to-Vmax (J) = 24.4755465858 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.000 0.000000 842.801 287.187 0.00009287443 0.00022224547 0.0000960338 0.0000960339 233926.097 190745.816 219308.817 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.008 0.000028 842.500 287.120 0.00009240944 0.00022290963 0.0000956385 0.0000964223 233633.498 190500.759 218844.507 0.04747 -0.32436 -0.00568 0.0002584088 -0.01827 2.016 0.000056 842.209 287.061 0.00009194147 0.00022357091 0.0000952365 0.0000968037 233351.199 190273.753 218393.851 0.09503 -0.64963 -0.01119 0.0002583882 -0.03944 3.024 0.000084 841.929 287.009 0.00009147060 0.00022422925 0.0000948278 0.0000971779 233079.096 190064.734 217956.832 0.14268 -0.97577 -0.01654 0.0002583537 -0.06348 4.032 0.000112 841.659 286.964 0.00009099689 0.00022488458 0.0000944126 0.0000975449 232817.082 189873.643 217533.433 0.19040 -1.30272 -0.02172 0.0002583055 -0.09039 5.004 0.000139 841.408 286.928 0.00009053748 0.00022551359 0.0000940061 0.0000978918 232573.882 189706.301 217138.039 0.23647 -1.61873 -0.02656 0.0002582459 -0.11903 6.012 0.000167 841.158 286.899 0.00009005843 0.00022616282 0.0000935784 0.0000982443 232331.376 189550.260 216741.342 0.28431 -1.94716 -0.03141 0.0002581707 -0.15151 7.020 0.000195 840.917 286.876 0.00008957676 0.00022680883 0.0000931446 0.0000985891 232098.641 189411.985 216358.212 0.33219 -2.27628 -0.03610 0.0002580818 -0.18680 8.028 0.000223 840.686 286.861 0.00008909257 0.00022745156 0.0000927048 0.0000989263 231875.568 189291.429 215988.631 0.38011 -2.60603 -0.04062 0.0002579792 -0.22488 9.000 0.000250 840.473 286.854 0.00008862334 0.00022806816 0.0000922752 0.0000992441 231669.509 189191.915 215645.061 0.42634 -2.92456 -0.04482 0.0002578673 -0.26423 10.008 0.000278 840.262 286.853 0.00008813439 0.00022870425 0.0000918240 0.0000995658 231465.093 189106.031 215302.036 0.47430 -3.25542 -0.04902 0.0002577379 -0.30775 11.016 0.000306 840.059 286.860 0.00008764315 0.00022933686 0.0000913673 0.0000998796 231270.011 189037.740 214972.503 0.52227 -3.58678 -0.05305 0.0002575949 -0.35401 12.024 0.000334 839.867 286.874 0.00008714968 0.00022996590 0.0000909050 0.0001001853 231084.149 188987.003 214656.442 0.57023 -3.91859 -0.05691 0.0002574384 -0.40299 13.032 0.000362 839.683 286.895 0.00008665406 0.00023059132 0.0000904375 0.0001004828 230907.395 188953.787 214353.834 0.61819 -4.25079 -0.06061 0.0002572684 -0.45466 14.004 0.000389 839.515 286.922 0.00008617420 0.00023119090 0.0000899818 0.0001007619 230745.473 188938.322 214074.757 0.66441 -4.57146 -0.06403 0.0002570917 -0.50704 15.012 0.000417 839.350 286.957 0.00008567461 0.00023180898 0.0000895043 0.0001010431 230586.278 188939.434 213798.521 0.71231 -4.90430 -0.06741 0.0002568954 -0.56396 16.020 0.000445 839.194 287.000 0.00008517312 0.00023242322 0.0000890219 0.0001013159 230435.853 188957.983 213535.684 0.76017 -5.23740 -0.07062 0.0002566857 -0.62353 17.028 0.000473 839.046 287.049 0.00008466981 0.00023303353 0.0000885347 0.0001015801 230294.084 188993.945 213286.228 0.80797 -5.57069 -0.07367 0.0002564628 -0.68573 18.000 0.000500 838.913 287.103 0.00008418283 0.00023361826 0.0000880607 0.0001018267 230165.467 189045.097 213058.338 0.85401 -5.89223 -0.07646 0.0002562354 -0.74816 19.008 0.000528 838.782 287.167 0.00008367620 0.00023422065 0.0000875647 0.0001020740 230040.363 189115.209 212835.118 0.90168 -6.22577 -0.07919 0.0002559867 -0.81545 20.016 0.000556 838.661 287.237 0.00008316799 0.00023481889 0.0000870645 0.0001023124 229923.573 189202.683 212625.231 0.94926 -6.55935 -0.08176 0.0002557249 -0.88530 21.024 0.000584 838.548 287.315 0.00008265830 0.00023541290 0.0000865601 0.0001025421 229814.982 189307.506 212428.662 0.99675 -6.89293 -0.08417 0.0002554502 -0.95768 22.032 0.000612 838.443 287.399 0.00008214722 0.00023600259 0.0000860518 0.0001027628 229714.474 189429.668 212245.397 1.04412 -7.22645 -0.08641 0.0002551626 -1.03259 23.004 0.000639 838.350 287.487 0.00008165315 0.00023656707 0.0000855580 0.0001029671 229625.103 189563.880 212081.266 1.08970 -7.54794 -0.08842 0.0002548732 -1.10719 24.012 0.000667 838.261 287.585 0.00008113959 0.00023714804 0.0000850424 0.0001031702 229540.139 189720.080 211924.099 1.13683 -7.88118 -0.09034 0.0002545606 -1.18698 25.020 0.000695 838.181 287.690 0.00008062490 0.00023772446 0.0000845233 0.0001033641 229462.920 189893.603 211780.203 1.18382 -8.21420 -0.09210 0.0002542354 -1.26922 26.028 0.000723 838.108 287.801 0.00008010918 0.00023829622 0.0000840008 0.0001035489 229393.333 190084.448 211649.569 1.23066 -8.54693 -0.09370 0.0002538977 -1.35390 27.000 0.000750 838.046 287.916 0.00007961098 0.00023884307 0.0000834940 0.0001037183 229333.353 190284.882 211536.153 1.27567 -8.86745 -0.09508 0.0002535603 -1.43784 28.008 0.000778 837.988 288.041 0.00007909350 0.00023940543 0.0000829655 0.0001038849 229278.432 190509.756 211431.549 1.32218 -9.19945 -0.09636 0.0002531984 -1.52723 29.016 0.000806 837.938 288.172 0.00007857526 0.00023996285 0.0000824341 0.0001040422 229230.812 190751.960 211340.190 1.36850 -9.53100 -0.09748 0.0002528243 -1.61899 30.024 0.000834 837.896 288.311 0.00007805636 0.00024051526 0.0000819000 0.0001041901 229190.388 191011.502 211262.074 1.41461 -9.86203 -0.09844 0.0002524381 -1.71309 31.032 0.000862 837.861 288.456 0.00007753690 0.00024106255 0.0000813634 0.0001043286 229157.052 191288.388 211197.201 1.46051 -10.19248 -0.09923 0.0002520400 -1.80950 32.004 0.000889 837.835 288.603 0.00007703556 0.00024158534 0.0000808438 0.0001044532 229131.522 191571.822 211147.191 1.50456 -10.51052 -0.09984 0.0002516450 -1.90465 33.012 0.000917 837.814 288.761 0.00007651530 0.00024212226 0.0000803027 0.0001045730 229111.809 191882.810 211108.341 1.55001 -10.83964 -0.10032 0.0002512238 -2.00556 34.020 0.000945 837.800 288.926 0.00007599478 0.00024265376 0.0000797597 0.0001046834 229098.881 192211.176 211082.750 1.59521 -11.16799 -0.10063 0.0002507910 -2.10871 35.028 0.000973 837.794 289.098 0.00007547411 0.00024317972 0.0000792147 0.0001047841 229092.643 192556.934 211070.427 1.64014 -11.49551 -0.10078 0.0002503469 -2.21409 36.000 0.001000 837.794 289.270 0.00007497199 0.00024368154 0.0000786877 0.0001048722 229092.875 192906.828 211071.121 1.68321 -11.81047 -0.10077 0.0002499079 -2.31779 37.008 0.001028 837.801 289.455 0.00007445133 0.00024419629 0.0000781396 0.0001049541 229099.508 193286.792 211084.901 1.72759 -12.13614 -0.10060 0.0002494416 -2.42747 38.016 0.001056 837.814 289.646 0.00007393084 0.00024470516 0.0000775901 0.0001050263 229112.563 193684.193 211111.998 1.77167 -12.46077 -0.10027 0.0002489644 -2.53930 39.024 0.001084 837.834 289.843 0.00007341063 0.00024520802 0.0000770395 0.0001050888 229131.960 194099.048 211152.434 1.81543 -12.78429 -0.09978 0.0002484763 -2.65326 40.032 0.001112 837.861 290.047 0.00007289081 0.00024570476 0.0000764878 0.0001051417 229157.621 194531.372 211206.236 1.85887 -13.10662 -0.09912 0.0002479775 -2.76932 41.004 0.001139 837.893 290.250 0.00007239003 0.00024617784 0.0000759551 0.0001051834 229188.231 194964.817 211270.806 1.90042 -13.41625 -0.09833 0.0002474865 -2.88321 42.012 0.001167 837.932 290.467 0.00007187132 0.00024666217 0.0000754020 0.0001052172 229225.992 195431.505 211350.961 1.94317 -13.73603 -0.09735 0.0002469672 -3.00333 43.020 0.001195 837.978 290.690 0.00007135335 0.00024713997 0.0000748483 0.0001052412 229269.820 195915.711 211444.589 1.98554 -14.05440 -0.09620 0.0002464375 -3.12548 44.028 0.001223 838.030 290.919 0.00007083625 0.00024761112 0.0000742943 0.0001052555 229319.663 196417.449 211551.736 2.02753 -14.37128 -0.09489 0.0002458978 -3.24964 45.000 0.001250 838.086 291.147 0.00007033854 0.00024805899 0.0000737600 0.0001052600 229373.377 196917.886 211667.908 2.06764 -14.67536 -0.09347 0.0002453680 -3.37123 46.008 0.001278 838.150 291.388 0.00006982348 0.00024851663 0.0000732058 0.0001052551 229434.905 197454.102 211801.764 2.10882 -14.98907 -0.09183 0.0002448090 -3.49925 47.016 0.001306 838.220 291.636 0.00006930966 0.00024896716 0.0000726518 0.0001052405 229502.332 198007.887 211949.309 2.14958 -15.30105 -0.09003 0.0002442404 -3.62919 48.024 0.001334 838.296 291.890 0.00006879720 0.00024941043 0.0000720982 0.0001052161 229575.638 198579.249 212110.613 2.18989 -15.61120 -0.08806 0.0002436624 -3.76104 49.032 0.001362 838.379 292.151 0.00006828624 0.00024984626 0.0000715451 0.0001051820 229654.810 199168.193 212285.753 2.22974 -15.91945 -0.08591 0.0002430751 -3.89475 50.004 0.001389 838.464 292.407 0.00006779507 0.00025025934 0.0000710124 0.0001051399 229736.710 199752.758 212467.821 2.26771 -16.21479 -0.08369 0.0002425003 -4.02545 51.012 0.001417 838.558 292.680 0.00006728743 0.00025068008 0.0000704608 0.0001050867 229827.415 200376.244 212670.396 2.30660 -16.51902 -0.08121 0.0002418955 -4.16278 52.020 0.001445 838.659 292.958 0.00006678170 0.00025109286 0.0000699102 0.0001050239 229924.019 201017.309 212887.086 2.34498 -16.82106 -0.07856 0.0002412820 -4.30190 53.028 0.001473 838.765 293.242 0.00006627801 0.00025149750 0.0000693608 0.0001049513 230026.557 201675.942 213118.003 2.38284 -17.12082 -0.07573 0.0002406601 -4.44279 54.000 0.001500 838.874 293.522 0.00006579437 0.00025187978 0.0000688323 0.0001048722 230131.100 202327.678 213354.265 2.41882 -17.40762 -0.07284 0.0002400525 -4.58031 55.008 0.001528 838.993 293.818 0.00006529511 0.00025226784 0.0000682857 0.0001047807 230245.456 203020.772 213613.502 2.45559 -17.70261 -0.06967 0.0002394144 -4.72460 56.016 0.001556 839.118 294.119 0.00006479834 0.00025264714 0.0000677408 0.0001046796 230365.940 203731.371 213887.370 2.49178 -17.99502 -0.06632 0.0002387684 -4.87059 57.024 0.001584 839.250 294.427 0.00006430419 0.00025301747 0.0000671978 0.0001045689 230492.652 204459.438 214176.031 2.52736 -18.28473 -0.06279 0.0002381148 -5.01824 58.032 0.001612 839.388 294.740 0.00006381282 0.00025337858 0.0000666569 0.0001044487 230625.710 205204.929 214479.662 2.56233 -18.57165 -0.05908 0.0002374536 -5.16753 59.004 0.001639 839.528 295.047 0.00006334180 0.00025371786 0.0000661373 0.0001043238 230760.155 205940.244 214786.808 2.59544 -18.84555 -0.05532 0.0002368091 -5.31301 60.012 0.001667 839.679 295.371 0.00006285638 0.00025406017 0.0000656008 0.0001041849 230906.101 206719.787 215120.427 2.62913 -19.12663 -0.05124 0.0002361338 -5.46544 61.020 0.001695 839.837 295.701 0.00006237422 0.00025439253 0.0000650668 0.0001040367 231058.869 207516.556 215469.648 2.66214 -19.40457 -0.04696 0.0002354515 -5.61942 62.028 0.001723 840.003 296.036 0.00006189550 0.00025471464 0.0000645355 0.0001038791 231218.669 208330.455 215834.727 2.69444 -19.67923 -0.04250 0.0002347626 -5.77494 63.000 0.001750 840.170 296.365 0.00006143729 0.00025501528 0.0000640259 0.0001037183 231379.641 209131.408 216202.048 2.72491 -19.94086 -0.03801 0.0002340922 -5.92632 64.008 0.001778 840.350 296.710 0.00006096583 0.00025531642 0.0000635004 0.0001035424 231553.968 209978.619 216599.120 2.75577 -20.20873 -0.03315 0.0002333908 -6.08476 65.016 0.001806 840.539 297.061 0.00006049832 0.00025560640 0.0000629781 0.0001033573 231736.118 210842.577 217012.969 2.78586 -20.47292 -0.02809 0.0002326834 -6.24465 66.024 0.001834 840.736 297.417 0.00006003496 0.00025588488 0.0000624591 0.0001031630 231926.423 211723.107 217443.973 2.81515 -20.73331 -0.02281 0.0002319701 -6.40596 67.032 0.001862 840.941 297.778 0.00005957594 0.00025615148 0.0000619435 0.0001029597 232125.257 212620.008 217892.550 2.84361 -20.98975 -0.01733 0.0002312512 -6.56866 68.004 0.001889 841.148 298.131 0.00005913760 0.00025639695 0.0000614499 0.0001027550 232325.455 213500.161 218342.189 2.87025 -21.23314 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5.88165 5.00666 0.0002559958 0.15370 342.000 0.009500 849.829 289.666 0.00010060462 0.00020997686 0.0001018267 0.0000880607 240973.648 198229.787 229888.950 4.39346 5.59348 4.99813 0.0002562354 0.19119 343.008 0.009528 849.333 289.459 0.00010020504 0.00021068078 0.0001015708 0.0000885523 240480.902 197648.632 229179.436 4.43806 5.29292 4.98945 0.0002564711 0.22699 344.016 0.009556 848.848 289.259 0.00009980121 0.00021138308 0.0001013062 0.0000890392 240000.130 197087.129 228483.657 4.48287 4.99065 4.98094 0.0002566935 0.25967 345.024 0.009584 848.375 289.068 0.00009939317 0.00021208368 0.0001010332 0.0000895215 239531.250 196545.167 227801.622 4.52790 4.68672 4.97260 0.0002569027 0.28922 346.032 0.009612 847.913 288.885 0.00009898102 0.00021278250 0.0001007517 0.0000899988 239074.176 196022.638 227133.341 4.57314 4.38116 4.96442 0.0002570985 0.31567 347.004 0.009639 847.478 288.716 0.00009857974 0.00021345461 0.0001004723 0.0000904544 238644.528 195537.075 226501.959 4.61697 4.08502 4.95670 0.0002572747 0.33824 348.012 0.009667 847.038 288.549 0.00009815969 0.00021414972 0.0001001745 0.0000909217 238210.395 195052.408 225860.712 4.66261 3.77642 4.94886 0.0002574442 0.35861 349.020 0.009695 846.609 288.390 0.00009773573 0.00021484285 0.0000998685 0.0000913837 237787.811 194586.864 225233.231 4.70844 3.46632 4.94118 0.0002576002 0.37591 350.028 0.009723 846.191 288.238 0.00009730793 0.00021553391 0.0000995544 0.0000918403 237376.686 194140.343 224619.517 4.75445 3.15479 4.93367 0.0002577427 0.39014 351.000 0.009750 845.799 288.100 0.00009689183 0.00021619827 0.0000992440 0.0000922753 236991.010 193727.695 224040.759 4.79899 2.85305 4.92659 0.0002578673 0.40097 352.008 0.009778 845.403 287.964 0.00009645668 0.00021688508 0.0000989143 0.0000927207 236602.128 193318.262 223454.081 4.84535 2.53881 4.91942 0.0002579831 0.40922 353.016 0.009806 845.018 287.836 0.00009601791 0.00021756961 0.0000985769 0.0000931603 236224.430 192927.571 222881.159 4.89188 2.22326 4.91241 0.0002580852 0.41445 354.024 0.009834 844.643 287.716 0.00009557558 0.00021825180 0.0000982318 0.0000935939 235857.824 192555.535 222321.988 4.93856 1.90644 4.90557 0.0002581737 0.41666 355.032 0.009862 844.280 287.603 0.00009512976 0.00021893159 0.0000978791 0.0000940213 235502.213 192202.067 221776.559 4.98538 1.58841 4.89889 0.0002582484 0.41587 356.004 0.009889 843.940 287.502 0.00009469663 0.00021958475 0.0000975319 0.0000944275 235169.624 191878.730 221263.616 5.03067 1.28061 4.89262 0.0002583074 0.41228 357.012 0.009917 843.597 287.405 0.00009424417 0.00022025961 0.0000971646 0.0000948425 234835.327 191561.494 220745.151 5.07777 0.96031 4.88628 0.0002583552 0.40565 358.020 0.009945 843.266 287.316 0.00009378844 0.00022093186 0.0000967901 0.0000952510 234511.733 191262.588 220240.397 5.12499 0.63891 4.88010 0.0002583891 0.39605 359.028 0.009973 842.944 287.234 0.00009332951 0.00022160143 0.0000964085 0.0000956528 234198.744 190981.935 219749.340 5.17233 0.31647 4.87410 0.0002584093 0.38351 360.000 0.010000 842.645 287.162 0.00009288400 0.00022224450 0.0000960338 0.0000960339 233906.880 190728.526 219288.779 5.21808 0.00460 4.86846 0.0002584157 0.36865 Engine speed (Hz) = 100.0000000000 Output power (W) = 36.8051653114 Heat into heater (W) = 521.8080749001 Heat to regenerator (W) = 0.4596764265 Heat removal from cooler (W) = 486.8461264375 Approximate Pumping loss (W) = -532.6803993859 Thermal efficiency (%) = 7.0533912911 The average engine pressure (Pa) = 277123.1035426337 The exp space work per cycle (J) = 5.2285647497 The comp space work per cycle (J) = -4.8605130966 The net work per cycle (J) = 0.3680516531 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.0745379458 The expansion work for Vmin-to-Vmax (J) = 24.4425895989 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000000 843.610 287.194 0.00009297763 0.00022202553 0.0000960330 0.0000960347 234413.087 190559.884 219580.963 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.020 0.000028 843.311 287.126 0.00009250883 0.00022269559 0.0000956337 0.0000964270 234121.912 190312.662 219111.792 0.04750 -0.32710 -0.00574 0.0002584087 -0.01874 2.002 0.000055 843.033 287.068 0.00009205386 0.00022333898 0.0000952421 0.0000967984 233851.054 190091.740 218672.538 0.09339 -0.64341 -0.01111 0.0002583885 -0.03961 3.020 0.000083 842.754 287.016 0.00009157909 0.00022400330 0.0000948294 0.0000971765 233580.343 189880.689 218230.650 0.14106 -0.97233 -0.01652 0.0002583539 -0.06415 4.002 0.000110 842.496 286.972 0.00009111852 0.00022464102 0.0000944251 0.0000975340 233329.012 189694.527 217817.674 0.18710 -1.29031 -0.02157 0.0002583071 -0.09057 5.020 0.000138 842.237 286.935 0.00009063809 0.00022529933 0.0000939994 0.0000978974 233078.337 189519.408 217403.002 0.23490 -1.62087 -0.02664 0.0002582449 -0.12083 6.002 0.000165 841.998 286.906 0.00009017219 0.00022593113 0.0000935829 0.0000982407 232846.117 189367.787 217016.236 0.28105 -1.94034 -0.03137 0.0002581716 -0.15275 7.020 0.000193 841.759 286.883 0.00008968639 0.00022658316 0.0000931448 0.0000985890 232615.042 189228.383 216628.709 0.32896 -2.27236 -0.03612 0.0002580818 -0.18866 8.001 0.000220 841.539 286.869 0.00008921547 0.00022720878 0.0000927165 0.0000989175 232401.510 189111.106 216268.083 0.37519 -2.59316 -0.04053 0.0002579821 -0.22600 9.019 0.000248 841.320 286.861 0.00008872461 0.00022785427 0.0000922666 0.0000992503 232189.591 189007.224 215907.626 0.42315 -2.92645 -0.04494 0.0002578649 -0.26750 10.001 0.000275 841.118 286.860 0.00008824894 0.00022847344 0.0000918271 0.0000995637 231994.315 188924.118 215573.067 0.46942 -3.24838 -0.04903 0.0002577388 -0.31019 11.019 0.000303 840.918 286.867 0.00008775332 0.00022911210 0.0000913658 0.0000998806 231801.103 188855.590 215239.604 0.51741 -3.58276 -0.05311 0.0002575944 -0.35720 12.001 0.000330 840.734 286.881 0.00008727322 0.00022972457 0.0000909157 0.0001001784 231623.645 188806.502 214931.039 0.56368 -3.90565 -0.05688 0.0002574421 -0.40517 13.019 0.000358 840.553 286.902 0.00008677315 0.00023035613 0.0000904435 0.0001004791 231448.682 188773.183 214624.495 0.61166 -4.24093 -0.06063 0.0002572706 -0.45763 14.001 0.000385 840.387 286.930 0.00008628892 0.00023096161 0.0000899833 0.0001007610 231288.600 188757.984 214341.850 0.65790 -4.56459 -0.06409 0.0002570923 -0.51080 15.019 0.000413 840.224 286.966 0.00008578472 0.00023158578 0.0000895010 0.0001010450 231131.424 188759.750 214062.148 0.70582 -4.90057 -0.06751 0.0002568940 -0.56861 16.001 0.000440 840.075 287.007 0.00008529666 0.00023218400 0.0000890312 0.0001013107 230988.269 188778.333 213805.352 0.75198 -5.22481 -0.07065 0.0002566899 -0.62692 17.019 0.000468 839.930 287.058 0.00008478867 0.00023280049 0.0000885393 0.0001015777 230848.413 188815.085 213552.420 0.79980 -5.56129 -0.07375 0.0002564650 -0.69001 18.000 0.000495 839.799 287.113 0.00008429710 0.00023339116 0.0000880605 0.0001018268 230721.733 188867.362 213321.404 0.84586 -5.88593 -0.07657 0.0002562353 -0.75337 19.018 0.000523 839.671 287.177 0.00008378562 0.00023399967 0.0000875595 0.0001020765 230598.728 188939.021 213095.174 0.89354 -6.22271 -0.07934 0.0002559840 -0.82167 20.000 0.000550 839.556 287.246 0.00008329087 0.00023458249 0.0000870724 0.0001023087 230488.069 189024.928 212889.874 0.93944 -6.54753 -0.08185 0.0002557291 -0.89000 21.018 0.000578 839.445 287.325 0.00008277626 0.00023518271 0.0000865630 0.0001025408 230381.442 189131.435 212690.281 0.98695 -6.88441 -0.08429 0.0002554518 -0.96341 22.036 0.000606 839.342 287.410 0.00008226020 0.00023577859 0.0000860496 0.0001027637 230282.971 189255.668 212504.226 1.03434 -7.22125 -0.08657 0.0002551613 -1.03939 23.018 0.000633 839.251 287.500 0.00008176126 0.00023634899 0.0000855509 0.0001029700 230195.628 189392.244 212337.626 1.07993 -7.54598 -0.08861 0.0002548689 -1.11508 24.036 0.000661 839.165 287.599 0.00008124258 0.00023693609 0.0000850300 0.0001031749 230112.825 189551.275 212178.126 1.12708 -7.88259 -0.09056 0.0002545529 -1.19605 25.018 0.000688 839.090 287.702 0.00008074131 0.00023749785 0.0000845244 0.0001033637 230040.363 189721.400 212037.110 1.17241 -8.20699 -0.09228 0.0002542361 -1.27650 26.036 0.000716 839.019 287.815 0.00008022038 0.00023807582 0.0000839967 0.0001035503 229972.758 189915.220 211904.121 1.21926 -8.54314 -0.09391 0.0002538950 -1.36237 27.018 0.000743 838.959 287.931 0.00007971712 0.00023862862 0.0000834848 0.0001037213 229914.728 190118.894 211788.652 1.26429 -8.86699 -0.09532 0.0002535541 -1.44750 28.036 0.000771 838.904 288.058 0.00007919432 0.00023919711 0.0000829509 0.0001038893 229861.860 190347.510 211682.143 1.31081 -9.20247 -0.09663 0.0002531883 -1.53818 29.017 0.000798 838.858 288.187 0.00007868942 0.00023974059 0.0000824333 0.0001040424 229817.820 190584.747 211592.197 1.35548 -9.52554 -0.09773 0.0002528237 -1.62790 30.036 0.000826 838.817 288.328 0.00007816512 0.00024029923 0.0000818939 0.0001041917 229779.235 190848.183 211512.148 1.40162 -9.86009 -0.09871 0.0002524336 -1.72330 31.017 0.000853 838.786 288.470 0.00007765897 0.00024083302 0.0000813713 0.0001043266 229748.753 191119.012 211447.713 1.44590 -10.18217 -0.09949 0.0002520459 -1.81753 32.035 0.000881 838.760 288.624 0.00007713356 0.00024138141 0.0000808270 0.0001044570 229724.008 191417.305 211394.121 1.49160 -10.51555 -0.10015 0.0002516320 -1.91755 33.017 0.000908 838.742 288.780 0.00007662654 0.00024190514 0.0000803000 0.0001045736 229706.666 191721.767 211355.203 1.53544 -10.83638 -0.10063 0.0002512216 -2.01619 34.035 0.000936 838.730 288.947 0.00007610043 0.00024244288 0.0000797515 0.0001046849 229695.337 192054.966 211328.082 1.58066 -11.16834 -0.10096 0.0002507845 -2.12075 35.017 0.000963 838.725 289.115 0.00007559292 0.00024295612 0.0000792208 0.0001047831 229690.732 192393.115 211314.704 1.62401 -11.48767 -0.10112 0.0002503518 -2.22371 36.035 0.000991 838.726 289.296 0.00007506653 0.00024348278 0.0000786687 0.0001048752 229692.413 192761.278 211314.089 1.66870 -11.81796 -0.10113 0.0002498919 -2.33270 37.017 0.001018 838.734 289.477 0.00007455895 0.00024398512 0.0000781349 0.0001049547 229700.167 193133.175 211326.296 1.71151 -12.13553 -0.10098 0.0002494376 -2.43990 38.035 0.001046 838.749 289.671 0.00007403269 0.00024450024 0.0000775799 0.0001050275 229714.478 193536.369 211352.247 1.75561 -12.46386 -0.10066 0.0002489554 -2.55322 39.016 0.001073 838.770 289.864 0.00007352546 0.00024499124 0.0000770436 0.0001050884 229734.239 193942.079 211390.108 1.79784 -12.77942 -0.10020 0.0002484800 -2.66455 40.035 0.001101 838.797 290.071 0.00007299979 0.00024549434 0.0000764865 0.0001051418 229760.831 194380.375 211442.709 1.84130 -13.10550 -0.09956 0.0002479763 -2.78212 41.016 0.001128 838.830 290.277 0.00007249334 0.00024597351 0.0000759484 0.0001051839 229792.281 194819.968 211506.322 1.88289 -13.41876 -0.09878 0.0002474803 -2.89749 42.034 0.001156 838.870 290.497 0.00007196871 0.00024646409 0.0000753897 0.0001052178 229830.844 195293.437 211585.693 1.92566 -13.74231 -0.09781 0.0002469555 -3.01919 43.016 0.001183 838.915 290.715 0.00007146349 0.00024693092 0.0000748505 0.0001052411 229873.704 195766.982 211675.187 1.96655 -14.05297 -0.09671 0.0002464396 -3.13850 44.034 0.001211 838.967 290.948 0.00007094038 0.00024740844 0.0000742910 0.0001052555 229923.973 196275.695 211781.479 2.00858 -14.37368 -0.09541 0.0002458945 -3.26424 45.016 0.001238 839.023 291.178 0.00007043685 0.00024786240 0.0000737513 0.0001052600 229978.011 196783.255 211897.023 2.04873 -14.68145 -0.09400 0.0002453593 -3.38740 46.034 0.001266 839.087 291.424 0.00006991574 0.00024832629 0.0000731916 0.0001052549 230039.775 197327.273 212030.432 2.08995 -14.99900 -0.09237 0.0002447945 -3.51707 47.016 0.001293 839.155 291.666 0.00006941438 0.00024876682 0.0000726520 0.0001052405 230104.817 197868.903 212172.235 2.12929 -15.30356 -0.09063 0.0002442406 -3.64397 48.034 0.001321 839.231 291.924 0.00006889578 0.00024921646 0.0000720929 0.0001052159 230177.928 198448.277 212333.002 2.16964 -15.61760 -0.08866 0.0002436567 -3.77747 49.015 0.001348 839.310 292.179 0.00006839710 0.00024964294 0.0000715542 0.0001051827 230253.866 199024.017 212501.323 2.20812 -15.91863 -0.08661 0.0002430849 -3.90802 50.034 0.001376 839.398 292.449 0.00006788153 0.00025007768 0.0000709962 0.0001051385 230338.249 199638.777 212689.748 2.24755 -16.22883 -0.08430 0.0002424827 -4.04525 51.015 0.001403 839.488 292.715 0.00006738603 0.00025048947 0.0000704590 0.0001050866 230425.051 200248.647 212884.904 2.28511 -16.52596 -0.08191 0.0002418936 -4.17934 52.033 0.001431 839.587 292.998 0.00006687403 0.00025090862 0.0000699029 0.0001050230 230520.719 200898.799 213101.347 2.32355 -16.83195 -0.07927 0.0002412739 -4.32019 53.015 0.001458 839.689 293.276 0.00006638225 0.00025130501 0.0000693678 0.0001049523 230618.444 201542.788 213323.721 2.36011 -17.12484 -0.07655 0.0002406681 -4.45772 54.033 0.001486 839.800 293.570 0.00006587440 0.00025170781 0.0000688143 0.0001048693 230725.507 202228.305 213568.619 2.39750 -17.42623 -0.07355 0.0002400316 -4.60209 55.015 0.001513 839.913 293.860 0.00006538689 0.00025208806 0.0000682820 0.0001047800 230834.317 202906.365 213818.673 2.43301 -17.71449 -0.07049 0.0002394101 -4.74296 56.033 0.001541 840.036 294.166 0.00006488376 0.00025247370 0.0000677317 0.0001046778 230953.005 203627.172 214092.551 2.46927 -18.01088 -0.06714 0.0002387575 -4.89073 57.015 0.001568 840.160 294.467 0.00006440110 0.00025283699 0.0000672029 0.0001045700 231073.180 204339.207 214370.839 2.50366 -18.29412 -0.06374 0.0002381209 -5.03484 58.033 0.001596 840.296 294.784 0.00006390330 0.00025320461 0.0000666565 0.0001044486 231203.854 205095.172 214674.326 2.53871 -18.58508 -0.06002 0.0002374531 -5.18591 59.014 0.001623 840.433 295.096 0.00006342608 0.00025355006 0.0000661317 0.0001043224 231335.815 205841.021 214981.512 2.57191 -18.86287 -0.05627 0.0002368021 -5.33315 60.033 0.001651 840.581 295.425 0.00006293425 0.00025389868 0.0000655899 0.0001041820 231478.991 206631.941 215315.362 2.60568 -19.14795 -0.05218 0.0002361199 -5.48742 61.014 0.001678 840.731 295.748 0.00006246309 0.00025422533 0.0000650699 0.0001040376 231623.320 207411.365 215652.244 2.63761 -19.41985 -0.04806 0.0002354555 -5.63768 62.032 0.001706 840.892 296.088 0.00006197788 0.00025455392 0.0000645333 0.0001038784 231779.692 208236.939 216017.362 2.67002 -19.69859 -0.04359 0.0002347597 -5.79503 63.014 0.001733 841.055 296.422 0.00006151343 0.00025486071 0.0000640186 0.0001037159 231937.156 209049.595 216384.898 2.70059 -19.96412 -0.03910 0.0002340825 -5.94821 64.032 0.001761 841.232 296.773 0.00006103553 0.00025516811 0.0000634879 0.0001035381 232107.630 209909.405 216782.379 2.73155 -20.23599 -0.03424 0.0002333740 -6.10854 65.014 0.001788 841.409 297.116 0.00006057847 0.00025545386 0.0000629792 0.0001033577 232279.213 210754.817 217181.731 2.76067 -20.49466 -0.02935 0.0002326849 -6.26454 66.032 0.001816 841.601 297.477 0.00006010859 0.00025573879 0.0000624550 0.0001031615 232464.938 211648.288 217612.904 2.79009 -20.75913 -0.02408 0.0002319645 -6.42773 67.014 0.001843 841.794 297.831 0.00005965963 0.00025600219 0.0000619529 0.0001029635 232651.883 212525.811 218045.490 2.81767 -21.01037 -0.01878 0.0002312644 -6.58644 68.032 0.001871 842.003 298.202 0.00005919853 0.00025626318 0.0000614359 0.0001027491 232854.300 213452.162 218511.991 2.84544 -21.26685 -0.01308 0.0002305330 -6.75239 69.013 0.001898 842.213 298.565 0.00005875842 0.00025650272 0.0000609410 0.0001025337 233058.157 214360.921 218979.572 2.87137 -21.51008 -0.00736 0.0002298227 -6.91370 70.032 0.001926 842.441 298.945 0.00005830690 0.00025673810 0.0000604318 0.0001023014 233279.057 215319.096 219483.445 2.89736 -21.75792 -0.00119 0.0002290812 -7.08229 71.013 0.001953 842.670 299.317 0.00005787642 0.00025695204 0.0000599447 0.0001020688 233501.754 216257.903 219988.245 2.92153 -21.99250 0.00498 0.0002283616 -7.24609 72.031 0.001981 842.919 299.706 0.00005743533 0.00025715983 0.0000594439 0.0001018189 233743.367 217246.458 220532.115 2.94562 -22.23098 0.01164 0.0002276108 -7.41722 73.013 0.002008 843.170 300.086 0.00005701535 0.00025734606 0.0000589653 0.0001015695 233987.306 218213.672 221077.036 2.96787 -22.45615 0.01830 0.0002268828 -7.58341 74.031 0.002036 843.442 300.484 0.00005658561 0.00025752385 0.0000584735 0.0001013022 234252.427 219230.588 221664.397 2.98990 -22.68445 0.02549 0.0002261237 -7.75695 75.013 0.002063 843.718 300.870 0.00005617705 0.00025767975 0.0000580039 0.0001010363 234520.644 220223.871 222253.411 3.01008 -22.89936 0.03269 0.0002253881 -7.92542 76.031 0.002091 844.017 301.275 0.00005575968 0.00025782438 0.0000575217 0.0001007520 234812.844 221266.188 222889.215 3.02986 -23.11650 0.04047 0.0002246217 -8.10126 77.013 0.002118 844.321 301.668 0.00005536359 0.00025794637 0.0000570616 0.0001004698 235109.284 222281.984 223528.220 3.04775 -23.32006 0.04829 0.0002238795 -8.27190 78.031 0.002146 844.653 302.077 0.00005495977 0.00025805331 0.0000565897 0.0001001689 235433.320 223344.951 224220.319 3.06499 -23.52474 0.05675 0.0002231066 -8.44993 79.012 0.002173 844.991 302.473 0.00005457740 0.00025813571 0.0000561397 0.0000998708 235763.434 224377.043 224919.613 3.08026 -23.71546 0.06531 0.0002223586 -8.62262 80.031 0.002201 845.362 302.885 0.00005418861 0.00025819654 0.0000556786 0.0000995536 236126.289 225451.035 225684.166 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0.007921 893.184 313.269 0.00011382656 0.00017261236 0.0001018291 0.0000594641 286545.854 260985.928 286170.814 2.38688 17.76159 5.70713 0.0002276413 -6.39401 289.028 0.007949 892.110 312.608 0.00011376198 0.00017323618 0.0001020787 0.0000599651 285339.694 259192.036 284867.101 2.41651 17.62941 5.69118 0.0002283918 -6.19223 290.010 0.007976 891.083 311.976 0.00011369187 0.00017384391 0.0001023109 0.0000604523 284189.044 257483.669 283613.788 2.44532 17.49731 5.67585 0.0002291112 -6.00013 291.028 0.008004 890.026 311.328 0.00011361109 0.00017448028 0.0001025429 0.0000609617 283008.747 255734.460 282318.575 2.47544 17.35557 5.66000 0.0002298526 -5.80352 292.009 0.008031 889.015 310.710 0.00011352548 0.00017509956 0.0001027579 0.0000614567 281883.182 254069.515 281074.461 2.50471 17.21439 5.64479 0.0002305627 -5.61648 293.027 0.008059 887.976 310.076 0.00011342876 0.00017574736 0.0001029719 0.0000619739 280729.046 252365.663 279789.769 2.53533 17.06339 5.62907 0.0002312939 -5.42520 294.009 0.008086 886.982 309.472 0.00011332790 0.00017637716 0.0001031696 0.0000624761 279628.846 250744.745 278556.692 2.56509 16.91342 5.61399 0.0002319937 -5.24337 295.027 0.008114 885.961 308.854 0.00011321550 0.00017703535 0.0001033654 0.0000630005 278501.152 249086.825 277284.318 2.59622 16.75345 5.59842 0.0002327139 -5.05756 296.009 0.008141 884.985 308.264 0.00011309966 0.00017767469 0.0001035454 0.0000635093 277426.575 247510.442 276063.918 2.62649 16.59497 5.58349 0.0002334027 -4.88107 297.027 0.008169 883.982 307.661 0.00011297186 0.00017834231 0.0001037229 0.0000640401 276325.573 245898.930 274805.477 2.65814 16.42632 5.56810 0.0002341110 -4.70086 298.009 0.008196 883.024 307.087 0.00011284130 0.00017899029 0.0001038850 0.0000645549 275276.842 244367.486 273599.233 2.68892 16.25960 5.55334 0.0002347879 -4.52983 299.027 0.008224 882.040 306.500 0.00011269839 0.00017966643 0.0001040438 0.0000650916 274202.744 242802.747 272356.183 2.72112 16.08254 5.53813 0.0002354835 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0.0002394363 -3.38802 306.008 0.008416 875.567 302.698 0.00011151789 0.00018439983 0.0001048729 0.0000688367 267210.096 232719.391 264073.551 2.94959 14.75961 5.43681 0.0002400575 -3.23985 307.026 0.008444 874.664 302.178 0.00011131737 0.00018510198 0.0001049554 0.0000693902 266244.960 231343.335 262904.124 2.98406 14.55159 5.42251 0.0002406937 -3.08925 308.008 0.008471 873.804 301.684 0.00011111739 0.00018578140 0.0001050257 0.0000699254 265327.498 230039.155 261786.434 3.01759 14.34755 5.40883 0.0002412991 -2.94700 309.026 0.008499 872.922 301.181 0.00011090320 0.00018648826 0.0001050889 0.0000704815 264389.753 228710.205 260637.906 3.05266 14.13243 5.39478 0.0002419184 -2.80257 310.008 0.008526 872.082 300.704 0.00011069018 0.00018717191 0.0001051405 0.0000710187 263498.703 227451.367 259540.774 3.08677 13.92165 5.38136 0.0002425073 -2.66630 311.026 0.008554 871.222 300.218 0.00011046261 0.00018788283 0.0001051842 0.0000715767 262588.341 226169.338 258413.966 3.12243 13.69966 5.36758 0.0002431090 -2.52811 312.007 0.008581 870.403 299.758 0.00011023683 0.00018857010 0.0001052170 0.0000721155 261723.681 224955.633 257338.145 3.15712 13.48237 5.35442 0.0002436805 -2.39787 313.025 0.008609 869.565 299.289 0.00010999618 0.00018928446 0.0001052413 0.0000726747 260840.663 223720.278 256233.799 3.19339 13.25375 5.34091 0.0002442640 -2.26596 314.007 0.008636 868.767 298.846 0.00010975792 0.00018997477 0.0001052553 0.0000732142 260002.343 222551.438 255179.971 3.22866 13.03019 5.32802 0.0002448175 -2.14181 315.025 0.008664 867.951 298.395 0.00010950448 0.00019069200 0.0001052600 0.0000737739 259146.603 221362.449 254098.761 3.26554 12.79517 5.31479 0.0002453819 -2.01623 316.007 0.008691 867.174 297.969 0.00010925403 0.00019138481 0.0001052551 0.0000743136 258334.545 220238.156 253067.544 3.30140 12.56554 5.30217 0.0002459167 -1.89820 317.025 0.008719 866.380 297.536 0.00010898808 0.00019210435 0.0001052403 0.0000748731 257505.991 219095.183 252010.078 3.33889 12.32435 5.28924 0.0002464614 -1.77898 318.007 0.008746 865.626 297.127 0.00010872572 0.00019279913 0.0001052166 0.0000754123 256720.093 218015.075 251002.026 3.37533 12.08888 5.27691 0.0002469770 -1.66710 319.025 0.008774 864.854 296.711 0.00010844757 0.00019352047 0.0001051823 0.0000759710 255918.606 216917.723 249968.850 3.41342 11.84174 5.26427 0.0002475013 -1.55429 320.007 0.008801 864.121 296.319 0.00010817357 0.00019421673 0.0001051398 0.0000765090 255158.744 215881.404 248984.464 3.45045 11.60064 5.25223 0.0002479968 -1.44859 321.025 0.008829 863.372 295.921 0.00010788351 0.00019493935 0.0001050860 0.0000770661 254384.184 214829.245 247976.068 3.48915 11.34776 5.23989 0.0002485002 -1.34219 322.006 0.008856 862.661 295.545 0.00010759816 0.00019563662 0.0001050248 0.0000776024 253650.211 213836.290 247015.794 3.52675 11.10123 5.22814 0.0002489752 -1.24269 323.024 0.008884 861.935 295.165 0.00010729646 0.00019636006 0.0001049516 0.0000781573 252902.416 212828.869 246032.615 3.56605 10.84283 5.21612 0.0002494569 -1.14273 324.006 0.008911 861.246 294.807 0.00010700004 0.00019705788 0.0001048716 0.0000786910 252194.166 211878.827 245096.850 3.60423 10.59108 5.20467 0.0002499107 -1.04944 325.024 0.008939 860.543 294.444 0.00010668700 0.00019778168 0.0001047791 0.0000792431 251472.953 210915.669 244139.276 3.64412 10.32736 5.19295 0.0002503702 -0.95593 326.006 0.008966 859.876 294.102 0.00010637978 0.00019847964 0.0001046806 0.0000797737 250790.242 210008.074 243228.372 3.68286 10.07058 5.18181 0.0002508024 -0.86886 327.024 0.008994 859.196 293.756 0.00010605569 0.00019920336 0.0001045689 0.0000803222 250095.410 209088.688 242296.746 3.72334 9.80176 5.17041 0.0002512391 -0.78179 328.006 0.009021 858.552 293.432 0.00010573795 0.00019990104 0.0001044519 0.0000808491 249438.036 208223.062 241411.013 3.76264 9.54015 5.15958 0.0002516490 -0.70094 329.024 0.009049 857.895 293.103 0.00010540309 0.00020062427 0.0001043211 0.0000813933 248769.367 207346.946 240505.635 3.80369 9.26642 5.14850 0.0002520624 -0.62032 330.006 0.009076 857.272 292.795 0.00010507510 0.00020132129 0.0001041859 0.0000819158 248137.109 206522.800 239645.343 3.84354 9.00016 5.13798 0.0002524497 -0.54569 331.024 0.009104 856.638 292.484 0.00010472976 0.00020204362 0.0001040362 0.0000824551 247494.368 205689.448 238766.473 3.88515 8.72172 5.12723 0.0002528393 -0.47151 332.005 0.009131 856.038 292.193 0.00010439180 0.00020273960 0.0001038827 0.0000829725 246886.993 204906.293 237931.856 3.92554 8.45102 5.11702 0.0002532033 -0.40308 333.023 0.009159 855.428 291.899 0.00010403626 0.00020346067 0.0001037143 0.0000835063 246269.930 204115.195 237079.719 3.96770 8.16805 5.10659 0.0002535686 -0.33533 334.005 0.009186 854.850 291.624 0.00010368861 0.00020415525 0.0001035429 0.0000840181 245687.189 203372.540 236270.975 4.00861 7.89308 5.09670 0.0002539090 -0.27310 335.023 0.009214 854.262 291.347 0.00010332315 0.00020487469 0.0001033559 0.0000845457 245095.537 202623.190 235445.762 4.05130 7.60579 5.08661 0.0002542496 -0.21176 336.005 0.009241 853.707 291.088 0.00010296606 0.00020556752 0.0001031668 0.0000850511 244537.169 201920.550 234663.061 4.09272 7.32674 5.07703 0.0002545660 -0.15570 337.023 0.009269 853.142 290.828 0.00010259097 0.00020628497 0.0001029615 0.0000855719 243970.650 201212.446 233864.931 4.13593 7.03531 5.06727 0.0002548814 -0.10076 338.005 0.009296 852.609 290.586 0.00010222473 0.00020697573 0.0001027549 0.0000860705 243436.377 200549.340 233108.413 4.17784 6.75235 5.05801 0.0002551733 -0.05085 339.023 0.009324 852.068 290.342 0.00010184028 0.00020769087 0.0001025316 0.0000865837 242894.699 199881.990 232337.496 4.22155 6.45696 5.04858 0.0002554633 -0.00228 340.005 0.009351 851.557 290.116 0.00010146515 0.00020837923 0.0001023076 0.0000870748 242384.235 199257.947 231607.273 4.26393 6.17028 5.03965 0.0002557304 0.04151 341.023 0.009379 851.038 289.889 0.00010107163 0.00020909173 0.0001020665 0.0000875799 241867.092 198630.868 230863.674 4.30811 5.87112 5.03055 0.0002559945 0.08374 342.004 0.009406 850.549 289.679 0.00010068789 0.00020977738 0.0001018256 0.0000880628 241380.136 198045.432 230159.835 4.35094 5.58089 5.02194 0.0002562365 0.12143 343.022 0.009434 850.053 289.469 0.00010028557 0.00021048692 0.0001015670 0.0000885593 240887.212 197458.155 229443.634 4.39559 5.27814 5.01318 0.0002564743 0.15737 344.004 0.009461 849.586 289.274 0.00009989349 0.00021116958 0.0001013094 0.0000890335 240423.452 196910.879 228766.245 4.43885 4.98453 5.00489 0.0002566909 0.18899 345.022 0.009489 849.113 289.081 0.00009948265 0.00021187585 0.0001010337 0.0000895206 239954.418 196362.952 228077.500 4.48393 4.67837 4.99647 0.0002569023 0.21866 346.004 0.009516 848.668 288.902 0.00009908249 0.00021255522 0.0001007596 0.0000899856 239513.532 195853.406 227426.606 4.52760 4.38156 4.98851 0.0002570932 0.24426 347.022 0.009544 848.218 288.724 0.00009866342 0.00021325794 0.0001004671 0.0000904627 239068.049 195344.392 226765.356 4.57309 4.07216 4.98042 0.0002572778 0.26770 348.004 0.009571 847.794 288.561 0.00009825545 0.00021393374 0.0001001770 0.0000909179 238649.704 194872.165 226140.985 4.61714 3.77232 4.97278 0.0002574429 0.28732 349.022 0.009599 847.366 288.400 0.00009782843 0.00021463261 0.0000998680 0.0000913845 238227.420 194401.645 225507.247 4.66301 3.45986 4.96503 0.0002576005 0.30458 350.004 0.009626 846.964 288.252 0.00009741292 0.00021530456 0.0000995622 0.0000918293 237831.273 193966.344 224909.411 4.70742 3.15716 4.95771 0.0002577394 0.31826 351.022 0.009654 846.558 288.107 0.00009697823 0.00021599930 0.0000992370 0.0000922849 237431.827 193533.920 224303.190 4.75366 2.84183 4.95030 0.0002578699 0.32938 352.003 0.009681 846.177 287.974 0.00009655546 0.00021666714 0.0000989159 0.0000927187 237057.524 193135.170 223731.883 4.79840 2.53643 4.94331 0.0002579826 0.33717 353.021 0.009709 845.793 287.845 0.00009611336 0.00021735748 0.0000985751 0.0000931626 236680.544 192740.465 223153.167 4.84496 2.21839 4.93623 0.0002580857 0.34221 354.003 0.009736 845.433 287.727 0.00009568360 0.00021802093 0.0000982390 0.0000935850 236327.722 192377.913 222608.372 4.89001 1.91047 4.92956 0.0002581720 0.34415 355.021 0.009764 845.071 287.614 0.00009523440 0.00021870659 0.0000978829 0.0000940168 235972.827 192020.570 222057.135 4.93687 1.58990 4.92282 0.0002582477 0.34316 356.003 0.009791 844.732 287.511 0.00009479791 0.00021936541 0.0000975323 0.0000944271 235641.113 191693.883 221538.823 4.98219 1.27963 4.91648 0.0002583074 0.33932 357.021 0.009819 844.391 287.413 0.00009434188 0.00022004613 0.0000971613 0.0000948462 235307.911 191373.570 221015.031 5.02932 0.95670 4.91007 0.0002583555 0.33235 358.003 0.009846 844.072 287.326 0.00009389895 0.00022070005 0.0000967966 0.0000952441 234996.924 191082.437 220523.162 5.07488 0.64424 4.90406 0.0002583887 0.32277 359.021 0.009874 843.752 287.243 0.00009343639 0.00022137555 0.0000964112 0.0000956500 234685.014 190798.843 220026.767 5.12225 0.31915 4.89798 0.0002584092 0.30988 360.003 0.009901 843.454 287.170 0.00009298729 0.00022202432 0.0000960329 0.0000960349 234394.362 190542.976 219561.292 5.16803 0.00467 4.89229 0.0002584157 0.29463 Engine speed (Hz) = 101.0000000000 Output power (W) = 29.6948629756 Heat into heater (W) = 521.9712396547 Heat to regenerator (W) = 0.4720110835 Heat removal from cooler (W) = 494.1212527111 Approximate Pumping loss (W) = -546.0699603634 Thermal efficiency (%) = 5.6889845110 The average engine pressure (Pa) = 277212.1270841637 The exp space work per cycle (J) = 5.1785184307 The comp space work per cycle (J) = -4.8845098864 The net work per cycle (J) = 0.2940085443 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.1161309883 The expansion work for Vmin-to-Vmax (J) = 24.4101395326 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.017 0.000000 844.417 287.199 0.00009307445 0.00022181451 0.0000960271 0.0000960406 234895.958 190370.835 219847.211 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.009 0.000027 844.131 287.133 0.00009261876 0.00022246630 0.0000956383 0.0000964226 234616.645 190130.232 219390.052 0.04582 -0.31803 -0.00559 0.0002584088 -0.01852 2.000 0.000054 843.854 287.075 0.00009216012 0.00022311540 0.0000952429 0.0000967977 234347.232 189907.154 218946.045 0.09173 -0.63697 -0.01102 0.0002583886 -0.03984 3.028 0.000082 843.577 287.022 0.00009168147 0.00022378561 0.0000948260 0.0000971795 234078.187 189694.261 218499.468 0.13942 -0.96866 -0.01649 0.0002583535 -0.06490 4.020 0.000109 843.321 286.978 0.00009121706 0.00022442901 0.0000944176 0.0000975405 233828.619 189506.698 218082.204 0.18547 -1.28935 -0.02159 0.0002583061 -0.09190 5.011 0.000136 843.074 286.942 0.00009074992 0.00022506952 0.0000940031 0.0000978944 233588.635 189336.486 217678.043 0.23158 -1.61083 -0.02654 0.0002582455 -0.12165 6.003 0.000163 842.836 286.912 0.00009028012 0.00022570707 0.0000935824 0.0000982410 233358.127 189183.572 217286.968 0.27775 -1.93306 -0.03132 0.0002581715 -0.15415 7.031 0.000191 842.600 286.890 0.00008979020 0.00022636504 0.0000931400 0.0000985928 233128.978 189043.214 216895.212 0.32566 -2.26796 -0.03611 0.0002580808 -0.19073 8.022 0.000218 842.382 286.875 0.00008931521 0.00022699638 0.0000927074 0.0000989244 232917.442 188925.390 216530.741 0.37190 -2.59158 -0.04057 0.0002579798 -0.22876 9.014 0.000245 842.173 286.868 0.00008883778 0.00022762456 0.0000922691 0.0000992485 232715.054 188824.724 216179.302 0.41817 -2.91581 -0.04487 0.0002578656 -0.26949 10.005 0.000272 841.973 286.867 0.00008835798 0.00022824953 0.0000918253 0.0000995649 232521.704 188741.178 215840.877 0.46444 -3.24061 -0.04901 0.0002577383 -0.31288 11.033 0.000300 841.776 286.875 0.00008785799 0.00022889417 0.0000913594 0.0000998849 232330.621 188672.578 215503.644 0.51244 -3.57799 -0.05314 0.0002575923 -0.36069 12.025 0.000327 841.594 286.889 0.00008737360 0.00022951238 0.0000909047 0.0001001855 232155.337 188623.790 215191.672 0.55872 -3.90381 -0.05695 0.0002574383 -0.40948 13.016 0.000354 841.422 286.910 0.00008688707 0.00023012718 0.0000904449 0.0001004782 231988.751 188592.016 214892.660 0.60499 -4.23006 -0.06061 0.0002572711 -0.46089 14.008 0.000381 841.258 286.938 0.00008639848 0.00023073848 0.0000899801 0.0001007629 231830.751 188577.226 214606.587 0.65124 -4.55670 -0.06411 0.0002570910 -0.51490 15.036 0.000409 841.098 286.975 0.00008588969 0.00023136868 0.0000894929 0.0001010496 231675.844 188579.800 214323.568 0.69916 -4.89579 -0.06757 0.0002568906 -0.57363 16.027 0.000436 840.952 287.017 0.00008539712 0.00023197267 0.0000890184 0.0001013178 231534.978 188599.529 214063.800 0.74533 -5.22307 -0.07075 0.0002566842 -0.63288 17.019 0.000463 840.814 287.066 0.00008490273 0.00023257297 0.0000885393 0.0001015777 231402.349 188636.171 213816.918 0.79145 -5.55060 -0.07377 0.0002564650 -0.69467 18.010 0.000490 840.685 287.122 0.00008440658 0.00023316950 0.0000880557 0.0001018292 231277.841 188689.707 213582.906 0.83751 -5.87832 -0.07663 0.0002562330 -0.75898 19.002 0.000517 840.564 287.185 0.00008390875 0.00023376219 0.0000875679 0.0001020724 231161.339 188760.121 213361.747 0.88350 -6.20618 -0.07934 0.0002559883 -0.82579 20.030 0.000545 840.448 287.258 0.00008339081 0.00023437270 0.0000870577 0.0001023156 231048.853 188850.957 213145.957 0.93110 -6.54629 -0.08198 0.0002557213 -0.89770 21.021 0.000572 840.343 287.335 0.00008288984 0.00023495733 0.0000865616 0.0001025414 230948.299 188955.714 212950.933 0.97691 -6.87429 -0.08436 0.0002554510 -0.96955 22.013 0.000599 840.247 287.419 0.00008238743 0.00023553790 0.0000860616 0.0001027586 230855.396 189077.317 212768.717 1.02262 -7.20229 -0.08659 0.0002551683 -1.04384 23.004 0.000626 840.158 287.509 0.00008188369 0.00023611432 0.0000855580 0.0001029671 230770.029 189215.758 212599.296 1.06821 -7.53023 -0.08866 0.0002548732 -1.12055 24.032 0.000654 840.074 287.610 0.00008135996 0.00023670762 0.0000850320 0.0001031741 230689.336 189377.110 212437.101 1.11536 -7.87020 -0.09065 0.0002545542 -1.20264 25.024 0.000681 840.001 287.714 0.00008085375 0.00023727535 0.0000845214 0.0001033648 230618.960 189549.844 212293.707 1.16070 -8.19786 -0.09240 0.0002542342 -1.28422 26.015 0.000708 839.935 287.825 0.00008034645 0.00023783868 0.0000840075 0.0001035465 230555.768 189739.413 212163.073 1.20588 -8.52531 -0.09400 0.0002539021 -1.36815 27.006 0.000735 839.877 287.943 0.00007983816 0.00023839753 0.0000834906 0.0001037194 230499.645 189945.818 212045.193 1.25092 -8.85247 -0.09544 0.0002535580 -1.45442 28.035 0.000763 839.824 288.072 0.00007931010 0.00023897226 0.0000829515 0.0001038892 230448.788 190177.656 211936.408 1.29744 -9.19141 -0.09677 0.0002531886 -1.54632 29.026 0.000790 839.780 288.203 0.00007880006 0.00023952173 0.0000824288 0.0001040437 230406.713 190418.375 211844.484 1.34212 -9.51785 -0.09790 0.0002528205 -1.63728 30.018 0.000817 839.743 288.340 0.00007828931 0.00024006644 0.0000819035 0.0001041892 230371.364 190675.949 211765.297 1.38661 -9.84384 -0.09887 0.0002524406 -1.73050 31.009 0.000844 839.713 288.484 0.00007777794 0.00024060632 0.0000813757 0.0001043255 230342.631 190950.390 211698.843 1.43090 -10.16933 -0.09968 0.0002520493 -1.82597 32.000 0.000871 839.690 288.635 0.00007726604 0.00024114127 0.0000808457 0.0001044527 230320.405 191241.708 211645.124 1.47498 -10.49425 -0.10034 0.0002516464 -1.92366 33.029 0.000899 839.673 288.798 0.00007673472 0.00024169072 0.0000802938 0.0001045749 230304.114 191561.657 211602.868 1.52046 -10.83055 -0.10085 0.0002512168 -2.02729 34.020 0.000926 839.663 288.962 0.00007622203 0.00024221531 0.0000797597 0.0001046834 230294.814 191887.396 211575.098 1.56407 -11.15414 -0.10119 0.0002507910 -2.12944 35.011 0.000953 839.660 289.132 0.00007570912 0.00024273467 0.0000792237 0.0001047825 230291.703 192230.056 211560.076 1.60743 -11.47698 -0.10138 0.0002503542 -2.23374 36.003 0.000980 839.663 289.309 0.00007519607 0.00024324869 0.0000786861 0.0001048724 230294.681 192589.653 211557.811 1.65054 -11.79901 -0.10140 0.0002499065 -2.34017 37.031 0.001008 839.672 289.499 0.00007466399 0.00024377599 0.0000781270 0.0001049558 230304.099 192980.476 211568.952 1.69495 -12.13203 -0.10127 0.0002494309 -2.45277 38.022 0.001035 839.688 289.689 0.00007415099 0.00024427880 0.0000775866 0.0001050267 230319.188 193374.628 211592.717 1.73749 -12.45220 -0.10098 0.0002489613 -2.56347 39.014 0.001062 839.710 289.885 0.00007363817 0.00024477593 0.0000770450 0.0001050882 230340.084 193785.771 211629.288 1.77973 -12.77135 -0.10053 0.0002484813 -2.67623 40.005 0.001089 839.737 290.087 0.00007312564 0.00024526727 0.0000765024 0.0001051404 230366.702 194213.924 211678.687 1.82167 -13.08942 -0.09993 0.0002479908 -2.79102 41.034 0.001117 839.772 290.304 0.00007259455 0.00024577056 0.0000759389 0.0001051845 230400.264 194675.921 211743.492 1.86481 -13.41804 -0.09913 0.0002474715 -2.91218 42.025 0.001144 839.811 290.519 0.00007208296 0.00024624972 0.0000753948 0.0001052175 230438.295 195138.782 211819.107 1.90607 -13.73368 -0.09821 0.0002469604 -3.03104 43.016 0.001171 839.857 290.740 0.00007157199 0.00024672271 0.0000748503 0.0001052411 230481.820 195618.710 211907.641 1.94699 -14.04802 -0.09713 0.0002464394 -3.15186 44.008 0.001198 839.907 290.968 0.00007106176 0.00024718940 0.0000743054 0.0001052553 230530.775 196115.723 212009.135 1.98754 -14.36098 -0.09588 0.0002459087 -3.27461 45.036 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294.034 0.008007 887.460 309.530 0.00011333969 0.00017629318 0.0001031746 0.0000624891 279795.112 250619.921 278724.985 2.53564 16.85319 5.63643 0.0002320116 -5.30416 295.026 0.008034 886.469 308.925 0.00011323149 0.00017693152 0.0001033652 0.0000629997 278701.001 249001.480 277489.089 2.56578 16.69842 5.62131 0.0002327129 -5.12325 296.017 0.008061 885.487 308.328 0.00011311584 0.00017757455 0.0001035469 0.0000635136 277619.788 247405.524 276259.649 2.59618 16.53942 5.60627 0.0002334085 -4.94503 297.009 0.008088 884.514 307.739 0.00011299280 0.00017822204 0.0001037198 0.0000640305 276551.526 245832.151 275037.034 2.62682 16.37627 5.59131 0.0002340983 -4.76953 298.000 0.008115 883.551 307.157 0.00011286244 0.00017887378 0.0001038836 0.0000645504 275496.265 244281.445 273821.593 2.65772 16.20903 5.57644 0.0002347820 -4.59679 299.028 0.008143 882.561 306.562 0.00011271959 0.00017955391 0.0001040440 0.0000650924 274415.699 242697.324 272569.072 2.69004 16.03135 5.56112 0.0002354844 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0.0002394282 -3.45561 306.005 0.008333 876.121 302.751 0.00011155005 0.00018426678 0.0001048726 0.0000688351 267456.747 232597.429 264308.756 2.91691 14.71686 5.46007 0.0002400557 -3.30600 307.033 0.008361 875.213 302.224 0.00011134907 0.00018497339 0.0001049560 0.0000693942 266486.530 231204.891 263130.009 2.95149 14.50790 5.44565 0.0002406982 -3.15396 308.025 0.008388 874.349 301.724 0.00011114851 0.00018565719 0.0001050269 0.0000699346 265564.455 229885.366 262003.462 2.98513 14.30287 5.43187 0.0002413095 -3.01039 309.016 0.008415 873.495 301.232 0.00011094140 0.00018634320 0.0001050884 0.0000704762 264655.625 228588.657 260887.043 3.01905 14.09445 5.41821 0.0002419126 -2.86981 310.008 0.008442 872.651 300.749 0.00011072779 0.00018703127 0.0001051405 0.0000710187 263760.039 227314.719 259780.949 3.05325 13.88267 5.40468 0.0002425073 -2.73223 311.036 0.008470 871.787 300.257 0.00011049950 0.00018774684 0.0001051846 0.0000715823 262845.264 226017.590 258644.997 3.08902 13.65958 5.39079 0.0002431149 -2.59275 312.027 0.008497 870.964 299.791 0.00011027289 0.00018843865 0.0001052176 0.0000721263 261976.631 224789.859 257560.509 3.12380 13.44117 5.37752 0.0002436920 -2.46133 313.019 0.008524 870.152 299.334 0.00011004001 0.00018913207 0.0001052412 0.0000726709 261121.211 223584.710 256486.890 3.15888 13.21959 5.36439 0.0002442601 -2.33297 314.010 0.008551 869.351 298.885 0.00010980091 0.00018982697 0.0001052553 0.0000732158 260278.987 222402.070 255424.303 3.19424 12.99488 5.35139 0.0002448191 -2.20765 315.001 0.008578 868.561 298.444 0.00010955568 0.00019052321 0.0001052600 0.0000737608 259449.938 221241.855 254372.901 3.22989 12.76711 5.33853 0.0002453688 -2.08540 316.030 0.008606 867.752 297.997 0.00010929495 0.00019124651 0.0001052549 0.0000743261 258604.076 220062.265 253294.530 3.26716 12.52772 5.32533 0.0002459290 -1.96187 317.021 0.008633 866.984 297.574 0.00010903743 0.00019194508 0.0001052404 0.0000748709 257801.793 218947.460 252266.359 3.30340 12.29387 5.31276 0.0002464594 -1.84589 318.012 0.008660 866.226 297.159 0.00010877397 0.00019264460 0.0001052165 0.0000754155 257012.606 217854.804 251249.796 3.33992 12.05711 5.30032 0.0002469800 -1.73300 319.004 0.008687 865.479 296.753 0.00010850465 0.00019334494 0.0001051831 0.0000759595 256236.483 216784.197 250244.965 3.37673 11.81751 5.28803 0.0002474906 -1.62320 320.032 0.008715 864.717 296.341 0.00010821925 0.00019407198 0.0001051386 0.0000765230 255445.378 215697.113 249215.438 3.41521 11.56607 5.27543 0.0002480096 -1.51261 321.024 0.008742 863.992 295.952 0.00010793820 0.00019477364 0.0001050861 0.0000770655 254695.760 214671.092 248234.865 3.45261 11.32081 5.26344 0.0002484996 -1.40914 322.015 0.008769 863.279 295.572 0.00010765151 0.00019547578 0.0001050242 0.0000776071 253959.094 213666.792 247266.365 3.49029 11.07286 5.25159 0.0002489793 -1.30877 323.006 0.008796 862.577 295.201 0.00010735923 0.00019617829 0.0001049529 0.0000781475 253235.338 212684.100 246310.037 3.52826 10.82226 5.23989 0.0002494484 -1.21152 324.035 0.008824 861.860 294.824 0.00010705030 0.00019690708 0.0001048692 0.0000787065 252498.364 211687.713 245331.245 3.56793 10.55963 5.22792 0.0002499237 -1.11395 325.026 0.008851 861.180 294.470 0.00010674686 0.00019760999 0.0001047790 0.0000792440 251800.767 210748.679 244399.995 3.60647 10.30379 5.21653 0.0002503710 -1.02304 326.017 0.008878 860.512 294.124 0.00010643804 0.00019831294 0.0001046794 0.0000797799 251115.937 209830.896 243481.184 3.64529 10.04545 5.20529 0.0002508074 -0.93526 327.009 0.008905 859.854 293.786 0.00010612391 0.00019901583 0.0001045706 0.0000803140 250443.825 208934.245 242574.890 3.68438 9.78466 5.19420 0.0002512327 -0.85058 328.000 0.008932 859.208 293.457 0.00010580454 0.00019971856 0.0001044526 0.0000808462 249784.378 208058.604 241681.186 3.72375 9.52146 5.18327 0.0002516468 -0.76903 329.028 0.008960 858.550 293.125 0.00010546788 0.00020044705 0.0001043205 0.0000813958 249113.824 207172.592 240767.753 3.76486 9.24603 5.17209 0.0002520643 -0.68775 330.020 0.008987 857.926 292.813 0.00010513804 0.00020114916 0.0001041838 0.0000819234 248480.001 206339.369 239899.900 3.80478 8.97809 5.16148 0.0002524552 -0.61254 331.011 0.009014 857.314 292.509 0.00010480317 0.00020185082 0.0001040380 0.0000824486 247858.670 205526.783 239044.829 3.84496 8.70788 5.15102 0.0002528346 -0.54045 332.003 0.009041 856.713 292.214 0.00010446332 0.00020255195 0.0001038831 0.0000829712 247249.769 204734.711 238202.594 3.88541 8.43546 5.14071 0.0002532024 -0.47147 333.031 0.009069 856.101 291.916 0.00010410572 0.00020327838 0.0001037130 0.0000835103 246631.379 203934.839 237342.778 3.92763 8.15066 5.13019 0.0002535713 -0.40321 334.022 0.009096 855.523 291.638 0.00010375596 0.00020397814 0.0001035398 0.0000840271 246047.604 203184.175 236526.843 3.96860 7.87387 5.12021 0.0002539149 -0.34055 335.014 0.009123 854.956 291.367 0.00010340143 0.00020467710 0.0001033577 0.0000845408 245476.065 202453.652 235723.885 4.00982 7.59500 5.11039 0.0002542465 -0.28099 336.005 0.009150 854.399 291.105 0.00010304221 0.00020537517 0.0001031667 0.0000850513 244916.693 201743.150 234933.944 4.05129 7.31410 5.10073 0.0002545661 -0.22452 337.033 0.009178 853.835 290.842 0.00010266479 0.00020609808 0.0001029594 0.0000855772 244349.381 201027.352 234128.532 4.09456 7.02069 5.09087 0.0002548846 -0.16922 338.025 0.009205 853.301 290.597 0.00010229620 0.00020679410 0.0001027505 0.0000860807 243814.580 200357.262 233365.210 4.13652 6.73579 5.08154 0.0002551792 -0.11904 339.016 0.009232 852.779 290.359 0.00010192312 0.00020748900 0.0001025330 0.0000865804 243291.730 199706.832 232615.003 4.17871 6.44898 5.07236 0.0002554615 -0.07193 340.008 0.009259 852.268 290.130 0.00010154560 0.00020818268 0.0001023069 0.0000870764 242780.760 199075.944 231877.934 4.22114 6.16032 5.06334 0.0002557313 -0.02789 341.036 0.009287 851.749 289.901 0.00010114949 0.00020890071 0.0001020633 0.0000875865 242263.331 198442.210 231127.469 4.26538 5.85906 5.05416 0.0002559978 0.01456 342.027 0.009314 851.261 289.688 0.00010076316 0.00020959170 0.0001018199 0.0000880741 241776.324 197850.779 230417.232 4.30825 5.56675 5.04547 0.0002562420 0.05238 343.019 0.009341 850.783 289.483 0.00010037259 0.00021028127 0.0001015680 0.0000885575 241300.962 197278.548 229720.194 4.35135 5.27272 5.03695 0.0002564735 0.08715 344.010 0.009368 850.316 289.286 0.00009997787 0.00021096933 0.0001013078 0.0000890365 240837.166 196725.407 229036.369 4.39465 4.97700 5.02858 0.0002566922 0.11889 345.002 0.009395 849.861 289.097 0.00009957904 0.00021165581 0.0001010393 0.0000895108 240384.854 196191.249 228365.771 4.43816 4.67965 5.02038 0.0002568982 0.14761 346.030 0.009423 849.399 288.909 0.00009916119 0.00021236597 0.0001007523 0.0000899978 239927.834 195657.245 227684.315 4.48348 4.36960 5.01204 0.0002570981 0.17420 347.021 0.009450 848.966 288.736 0.00009875423 0.00021304903 0.0001004673 0.0000904624 239498.662 195161.432 227040.684 4.52739 4.06903 5.00417 0.0002572777 0.19679 348.013 0.009477 848.543 288.571 0.00009834338 0.00021373029 0.0001001743 0.0000909220 239080.720 194684.290 226410.302 4.57148 3.76696 4.99646 0.0002574443 0.21638 349.004 0.009504 848.131 288.413 0.00009792869 0.00021440970 0.0000998734 0.0000913765 238673.923 194225.719 225793.171 4.61574 3.46341 4.98891 0.0002575979 0.23298 350.032 0.009532 847.715 288.258 0.00009749468 0.00021511224 0.0000995531 0.0000918422 238263.737 193769.678 225167.180 4.66183 3.14711 4.98125 0.0002577433 0.24707 351.024 0.009559 847.325 288.116 0.00009707240 0.00021578766 0.0000992363 0.0000922858 237879.369 193348.644 224577.044 4.70645 2.84070 4.97403 0.0002578702 0.25763 352.015 0.009586 846.945 287.982 0.00009664650 0.00021646102 0.0000989120 0.0000927239 237505.876 192945.898 224000.157 4.75122 2.53295 4.96697 0.0002579839 0.26525 353.007 0.009613 846.576 287.856 0.00009621704 0.00021713226 0.0000985801 0.0000931562 237143.165 192561.353 223436.516 4.79615 2.22389 4.96008 0.0002580843 0.26993 354.035 0.009641 846.204 287.733 0.00009576798 0.00021782604 0.0000982280 0.0000935985 236778.311 192181.696 222865.984 4.84289 1.90206 4.95310 0.0002581745 0.27170 355.026 0.009668 845.856 287.622 0.00009533148 0.00021849276 0.0000978811 0.0000940189 236437.278 191833.962 222329.306 4.88811 1.59049 4.94653 0.0002582480 0.27044 356.018 0.009695 845.519 287.518 0.00009489163 0.00021915715 0.0000975269 0.0000944332 236106.743 191504.176 221805.852 4.93345 1.27773 4.94013 0.0002583082 0.26629 357.009 0.009722 845.192 287.422 0.00009444848 0.00021981917 0.0000971657 0.0000948414 235786.610 191192.261 221295.613 4.97893 0.96385 4.93389 0.0002583551 0.25925 358.001 0.009749 844.875 287.334 0.00009400212 0.00022047874 0.0000967974 0.0000952432 235476.780 190898.142 220798.579 5.02451 0.64887 4.92781 0.0002583886 0.24935 359.029 0.009777 844.557 287.250 0.00009353590 0.00022116008 0.0000964082 0.0000956531 235166.254 190611.849 220297.070 5.07190 0.32113 4.92167 0.0002584093 0.23607 360.020 0.009804 844.260 287.177 0.00009308319 0.00022181448 0.0000960260 0.0000960417 234877.109 190353.762 219826.896 5.11770 0.00406 4.91592 0.0002584157 0.22037 Engine speed (Hz) = 102.0000000000 Output power (W) = 22.4126841988 Heat into heater (W) = 522.0058286098 Heat to regenerator (W) = 0.4139003934 Heat removal from cooler (W) = 501.4239821228 Approximate Pumping loss (W) = -559.6243251627 Thermal efficiency (%) = 4.2935697210 The average engine pressure (Pa) = 277302.6926746675 The exp space work per cycle (J) = 5.1278936172 The comp space work per cycle (J) = -4.9081614191 The net work per cycle (J) = 0.2197321980 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.1569166926 The expansion work for Vmin-to-Vmax (J) = 24.3766488906 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.021 0.000001 845.228 287.206 0.00009317593 0.00022159651 0.0000960256 0.0000960421 235381.643 190184.815 220118.834 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.022 0.000028 844.943 287.139 0.00009271662 0.00022225391 0.0000956329 0.0000964278 235104.007 189942.098 219657.042 0.04583 -0.32062 -0.00565 0.0002584086 -0.01898 2.024 0.000055 844.669 287.080 0.00009225428 0.00022290860 0.0000952334 0.0000968065 234836.434 189717.282 219208.631 0.09175 -0.64220 -0.01113 0.0002583880 -0.04084 3.025 0.000082 844.405 287.028 0.00009178899 0.00022356051 0.0000948275 0.0000971782 234578.816 189510.305 218773.586 0.13774 -0.96470 -0.01646 0.0002583537 -0.06554 4.026 0.000109 844.150 286.984 0.00009132081 0.00022420958 0.0000944151 0.0000975427 234331.043 189321.106 218351.891 0.18380 -1.28806 -0.02162 0.0002583058 -0.09307 5.027 0.000136 843.905 286.947 0.00009084981 0.00022485574 0.0000939964 0.0000979000 234093.006 189149.630 217943.530 0.22992 -1.61226 -0.02661 0.0002582444 -0.12343 6.028 0.000163 843.670 286.918 0.00009037608 0.00022549893 0.0000935715 0.0000982499 233864.592 188995.824 217548.484 0.27608 -1.93723 -0.03144 0.0002581694 -0.15658 7.029 0.000190 843.445 286.896 0.00008989969 0.00022613908 0.0000931406 0.0000985923 233645.690 188859.638 217166.736 0.32229 -2.26295 -0.03611 0.0002580809 -0.19252 8.031 0.000217 843.229 286.881 0.00008942069 0.00022677613 0.0000927037 0.0000989271 233436.185 188741.023 216798.268 0.36853 -2.58935 -0.04062 0.0002579789 -0.23122 9.032 0.000244 843.023 286.874 0.00008893918 0.00022741001 0.0000922611 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-4.48544 300.036 0.008092 882.128 306.049 0.00011259427 0.00018010933 0.0001041917 0.0000656261 273587.665 241064.347 271566.414 2.69074 15.79947 5.56898 0.0002361658 -4.31681 301.037 0.008119 881.188 305.484 0.00011244188 0.00018077669 0.0001043292 0.0000661591 272566.627 239565.324 270365.891 2.72255 15.61947 5.55429 0.0002368363 -4.15106 302.001 0.008145 880.292 304.948 0.00011228836 0.00018142265 0.0001044528 0.0000666745 271596.109 238143.978 269217.885 2.75343 15.44244 5.54025 0.0002374753 -3.99421 303.002 0.008172 879.372 304.399 0.00011212196 0.00018209673 0.0001045719 0.0000672118 270601.483 236690.996 268034.365 2.78577 15.25483 5.52577 0.0002381317 -3.83421 304.003 0.008199 878.461 303.859 0.00011194852 0.00018277396 0.0001046816 0.0000677512 269620.345 235261.488 266859.916 2.81839 15.06345 5.51141 0.0002387808 -3.67718 305.004 0.008226 877.561 303.327 0.00011176812 0.00018345415 0.0001047819 0.0000682924 268652.712 233855.452 265694.800 2.85127 14.86836 5.49715 0.0002394223 -3.52312 306.005 0.008253 876.671 302.803 0.00011158082 0.00018413712 0.0001048727 0.0000688353 267698.597 232472.874 264539.262 2.88444 14.66961 5.48302 0.0002400560 -3.37207 307.007 0.008280 875.792 302.288 0.00011138670 0.00018482271 0.0001049540 0.0000693797 266758.007 231113.733 263393.539 2.91789 14.46728 5.46900 0.0002406816 -3.22403 308.008 0.008307 874.923 301.781 0.00011118583 0.00018551075 0.0001050257 0.0000699254 265830.947 229777.995 262257.857 2.95162 14.26141 5.45511 0.0002412991 -3.07904 309.009 0.008334 874.065 301.283 0.00011097827 0.00018620106 0.0001050880 0.0000704722 264917.416 228465.619 261132.430 2.98563 14.05207 5.44134 0.0002419082 -2.93709 310.010 0.008361 873.217 300.794 0.00011076410 0.00018689351 0.0001051406 0.0000710201 264017.411 227176.555 260017.462 3.01992 13.83931 5.42770 0.0002425088 -2.79822 311.011 0.008388 872.380 300.313 0.00011054339 0.00018758792 0.0001051837 0.0000715688 263130.923 225910.744 258913.149 3.05451 13.62321 5.41419 0.0002431006 -2.66243 312.012 0.008415 871.554 299.841 0.00011031620 0.00018828416 0.0001052172 0.0000721182 262257.942 224668.120 257819.677 3.08938 13.40380 5.40082 0.0002436834 -2.52973 313.014 0.008442 870.738 299.377 0.00011008262 0.00018898207 0.0001052411 0.0000726681 261398.453 223448.611 256737.221 3.12453 13.18116 5.38757 0.0002442572 -2.40014 314.015 0.008469 869.934 298.923 0.00010984271 0.00018968152 0.0001052553 0.0000732184 260552.437 222252.136 255665.950 3.15998 12.95532 5.37447 0.0002448217 -2.27367 315.016 0.008496 869.140 298.477 0.00010959654 0.00019038235 0.0001052600 0.0000737687 259719.873 221078.611 254606.023 3.19572 12.72637 5.36150 0.0002453768 -2.15033 316.017 0.008523 868.358 298.039 0.00010934418 0.00019108444 0.0001052550 0.0000743191 258900.736 219927.944 253557.593 3.23174 12.49433 5.34868 0.0002459222 -2.03013 317.018 0.008550 867.586 297.611 0.00010908570 0.00019178766 0.0001052405 0.0000748693 258094.998 218800.037 252520.804 3.26806 12.25928 5.33599 0.0002464578 -1.91307 318.019 0.008577 866.826 297.191 0.00010882118 0.00019249187 0.0001052163 0.0000754192 257302.629 217694.792 251495.792 3.30466 12.02126 5.32345 0.0002469835 -1.79917 319.020 0.008604 866.077 296.780 0.00010855067 0.00019319695 0.0001051825 0.0000759686 256523.596 216612.101 250482.686 3.34156 11.78033 5.31106 0.0002474991 -1.68842 320.022 0.008631 865.339 296.378 0.00010827427 0.00019390278 0.0001051391 0.0000765173 255757.861 215551.856 249481.610 3.37874 11.53654 5.29881 0.0002480044 -1.58085 321.023 0.008658 864.612 295.984 0.00010799202 0.00019460924 0.0001050861 0.0000770651 255005.386 214513.944 248492.679 3.41621 11.28994 5.28672 0.0002484993 -1.47644 322.024 0.008685 863.896 295.599 0.00010770401 0.00019531620 0.0001050236 0.0000776120 254266.129 213498.250 247516.003 3.45396 11.04058 5.27477 0.0002489836 -1.37521 323.025 0.008712 863.192 295.223 0.00010741030 0.00019602356 0.0001049515 0.0000781577 253540.046 212504.655 246551.686 3.49200 10.78852 5.26297 0.0002494572 -1.27715 324.026 0.008739 862.499 294.855 0.00010711096 0.00019673121 0.0001048699 0.0000787020 252827.091 211533.039 245599.824 3.53033 10.53380 5.25133 0.0002499199 -1.18228 325.027 0.008766 861.818 294.496 0.00010680606 0.00019743903 0.0001047788 0.0000792448 252127.214 210583.278 244660.510 3.56893 10.27648 5.23984 0.0002503716 -1.09059 326.029 0.008793 861.148 294.146 0.00010649567 0.00019814693 0.0001046782 0.0000797860 251440.365 209655.249 243733.829 3.60781 10.01660 5.22850 0.0002508122 -1.00208 327.030 0.008820 860.489 293.804 0.00010617987 0.00019885479 0.0001045682 0.0000803253 250766.491 208748.825 242819.862 3.64698 9.75422 5.21732 0.0002512415 -0.91675 328.031 0.008847 859.841 293.471 0.00010585871 0.00019956251 0.0001044488 0.0000808626 250105.535 207863.881 241918.685 3.68641 9.48938 5.20630 0.0002516594 -0.83461 329.032 0.008874 859.205 293.147 0.00010553227 0.00020027000 0.0001043200 0.0000813977 249457.441 207000.289 241030.369 3.72612 9.22213 5.19543 0.0002520657 -0.75565 330.033 0.008901 858.581 292.831 0.00010520062 0.00020097716 0.0001041819 0.0000819305 248822.148 206157.921 240154.979 3.76610 8.95252 5.18472 0.0002524604 -0.67987 331.034 0.008928 857.968 292.524 0.00010486383 0.00020168389 0.0001040345 0.0000824608 248199.596 205336.649 239292.577 3.80634 8.68059 5.17417 0.0002528433 -0.60727 332.036 0.008955 857.366 292.225 0.00010452195 0.00020239010 0.0001038779 0.0000829884 247589.722 204536.345 238443.219 3.84685 8.40640 5.16378 0.0002532143 -0.53785 333.037 0.008982 856.776 291.934 0.00010417508 0.00020309570 0.0001037120 0.0000835133 246992.459 203756.881 237606.959 3.88762 8.12998 5.15355 0.0002535733 -0.47159 334.001 0.009008 856.218 291.663 0.00010383637 0.00020377450 0.0001035437 0.0000840158 246429.174 203025.863 236814.095 3.92712 7.86175 5.14385 0.0002539075 -0.41079 335.002 0.009035 855.650 291.389 0.00010347986 0.00020447865 0.0001033599 0.0000845347 245856.472 202286.937 236003.681 3.96838 7.58111 5.13394 0.0002542426 -0.35075 336.003 0.009062 855.093 291.123 0.00010311855 0.00020518192 0.0001031672 0.0000850502 245296.177 201568.476 235206.496 4.00990 7.29839 5.12419 0.0002545654 -0.29386 337.004 0.009089 854.548 290.866 0.00010275250 0.00020588424 0.0001029654 0.0000855623 244748.220 200870.354 234422.577 4.05166 7.01363 5.11460 0.0002548757 -0.24013 338.005 0.009116 854.014 290.618 0.00010238177 0.00020658553 0.0001027547 0.0000860708 244212.524 200192.448 233651.960 4.09366 6.72687 5.10517 0.0002551736 -0.18955 339.007 0.009143 853.492 290.377 0.00010200645 0.00020728569 0.0001025352 0.0000865756 243689.016 199534.636 232894.672 4.13589 6.43816 5.09591 0.0002554588 -0.14211 340.008 0.009170 852.981 290.145 0.00010162659 0.00020798467 0.0001023069 0.0000870764 243177.619 198896.797 232150.743 4.17836 6.14755 5.08680 0.0002557313 -0.09779 341.009 0.009197 852.481 289.921 0.00010124227 0.00020868236 0.0001020698 0.0000875731 242678.253 198278.812 231420.195 4.22105 5.85508 5.07787 0.0002559910 -0.05661 342.010 0.009224 851.992 289.705 0.00010085355 0.00020937871 0.0001018242 0.0000880657 242190.839 197680.563 230703.050 4.26396 5.56079 5.06910 0.0002562379 -0.01854 343.011 0.009251 851.515 289.498 0.00010046049 0.00021007363 0.0001015699 0.0000885538 241715.296 197101.935 229999.326 4.30709 5.26473 5.06049 0.0002564718 0.01643 344.012 0.009278 851.048 289.298 0.00010006318 0.00021076705 0.0001013072 0.0000890375 241251.541 196542.814 229309.039 4.35042 4.96693 5.05204 0.0002566927 0.04829 345.014 0.009305 850.593 289.107 0.00009966167 0.00021145890 0.0001010361 0.0000895165 240799.488 196003.089 228632.202 4.39396 4.66745 5.04376 0.0002569006 0.07707 346.015 0.009332 850.149 288.923 0.00009925603 0.00021214910 0.0001007566 0.0000899907 240359.053 195482.651 227968.825 4.43770 4.36633 5.03565 0.0002570953 0.10277 347.016 0.009359 849.716 288.748 0.00009884633 0.00021283758 0.0001004689 0.0000904599 239930.149 194981.393 227318.916 4.48163 4.06361 5.02770 0.0002572768 0.12540 348.017 0.009386 849.294 288.581 0.00009843264 0.00021352427 0.0001001730 0.0000909240 239512.686 194499.211 226682.482 4.52575 3.75933 5.01991 0.0002574450 0.14497 349.018 0.009413 848.883 288.421 0.00009801503 0.00021420911 0.0000998691 0.0000913829 239106.574 194036.002 226059.526 4.57004 3.45353 5.01229 0.0002576000 0.16150 350.019 0.009440 848.483 288.270 0.00009759356 0.00021489202 0.0000995572 0.0000918364 238711.723 193591.668 225450.049 4.61451 3.14627 5.00483 0.0002577416 0.17499 351.021 0.009467 848.094 288.126 0.00009716830 0.00021557294 0.0000992374 0.0000922844 238328.039 193166.112 224854.053 4.65915 2.83758 4.99754 0.0002578698 0.18546 352.022 0.009494 847.715 287.991 0.00009673932 0.00021625179 0.0000989098 0.0000927267 237955.429 192759.239 224271.535 4.70394 2.52749 4.99042 0.0002579846 0.19292 353.023 0.009521 847.348 287.863 0.00009630669 0.00021692852 0.0000985746 0.0000931633 237593.797 192370.958 223702.491 4.74889 2.21607 4.98346 0.0002580859 0.19738 354.024 0.009548 846.991 287.743 0.00009587047 0.00021760305 0.0000982318 0.0000935939 237243.047 192001.181 223146.916 4.79398 1.90335 4.97666 0.0002581737 0.19886 355.025 0.009575 846.644 287.630 0.00009543074 0.00021827532 0.0000978815 0.0000940184 236903.079 191649.822 222604.804 4.83922 1.58936 4.97003 0.0002582479 0.19737 356.026 0.009602 846.309 287.526 0.00009498757 0.00021894527 0.0000975238 0.0000944368 236573.796 191316.797 222076.146 4.88458 1.27416 4.96356 0.0002583087 0.19292 357.027 0.009629 845.983 287.429 0.00009454102 0.00021961282 0.0000971589 0.0000948489 236255.096 191002.027 221560.933 4.93007 0.95779 4.95726 0.0002583558 0.18553 358.029 0.009656 845.668 287.340 0.00009409116 0.00022027792 0.0000967869 0.0000952545 235946.878 190705.435 221059.155 4.97567 0.64029 4.95112 0.0002583894 0.17521 359.030 0.009683 845.363 287.258 0.00009363806 0.00022094050 0.0000964078 0.0000956535 235649.039 190426.946 220570.799 5.02138 0.32170 4.94515 0.0002584094 0.16198 360.031 0.009710 845.069 287.184 0.00009318180 0.00022160050 0.0000960218 0.0000960459 235361.473 190166.490 220095.852 5.06720 0.00207 4.93934 0.0002584157 0.14585 Engine speed (Hz) = 103.0000000000 Output power (W) = 14.9554145335 Heat into heater (W) = 521.9212045392 Heat to regenerator (W) = 0.2127104990 Heat removal from cooler (W) = 508.7516316061 Approximate Pumping loss (W) = -573.3462428903 Thermal efficiency (%) = 2.8654544792 The average engine pressure (Pa) = 277396.1603299718 The exp space work per cycle (J) = 5.0764992521 The comp space work per cycle (J) = -4.9313010528 The net work per cycle (J) = 0.1451981994 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.1977088503 The expansion work for Vmin-to-Vmax (J) = 24.3429070497 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.026 0.000001 846.039 287.212 0.00009327661 0.00022137943 0.0000960238 0.0000960440 235866.567 189998.851 220390.197 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.037 0.000028 845.757 287.144 0.00009281370 0.00022204240 0.0000956272 0.0000964333 235590.760 189754.005 219923.797 0.04583 -0.32320 -0.00571 0.0002584084 -0.01946 2.010 0.000054 845.495 287.087 0.00009236500 0.00022267824 0.0000952388 0.0000968015 235334.837 189535.507 219487.539 0.09005 -0.63537 -0.01104 0.0002583883 -0.04097 3.021 0.000081 845.232 287.034 0.00009189605 0.00022333580 0.0000948290 0.0000971769 235079.000 189326.485 219047.847 0.13604 -0.96048 -0.01642 0.0002583538 -0.06616 4.032 0.000108 844.980 286.990 0.00009142414 0.00022399049 0.0000944126 0.0000975449 234833.170 189135.621 218621.737 0.18209 -1.28650 -0.02163 0.0002583055 -0.09424 5.005 0.000134 844.746 286.954 0.00009096696 0.00022461818 0.0000940055 0.0000978923 234605.792 188968.933 218224.229 0.22649 -1.60126 -0.02650 0.0002582459 -0.12400 6.016 0.000161 844.514 286.924 0.00009048943 0.00022526709 0.0000935766 0.0000982458 234379.264 188813.546 217824.729 0.27265 -1.92894 -0.03138 0.0002581704 -0.15771 7.027 0.000188 844.291 286.902 0.00009000915 0.00022591293 0.0000931415 0.0000985916 234162.395 188676.154 217438.758 0.31885 -2.25738 -0.03611 0.0002580811 -0.19426 8.001 0.000214 844.085 286.888 0.00008954412 0.00022653191 0.0000927169 0.0000989172 233962.576 188560.813 217079.851 0.36337 -2.57436 -0.04050 0.0002579821 -0.23213 9.012 0.000241 843.881 286.880 0.00008905866 0.00022717157 0.0000922701 0.0000992478 233764.320 188458.607 216720.383 0.40963 -2.90419 -0.04489 0.0002578659 -0.27420 10.022 0.000268 843.686 286.880 0.00008857067 0.00022780798 0.0000918175 0.0000995704 233575.366 188374.260 216374.387 0.45589 -3.23466 -0.04913 0.0002577359 -0.31907 11.033 0.000295 843.501 286.888 0.00008808023 0.00022844107 0.0000913594 0.0000998849 233395.592 188307.735 216041.844 0.50216 -3.56573 -0.05319 0.0002575923 -0.36670 12.007 0.000321 843.331 286.902 0.00008760571 0.00022904750 0.0000909130 0.0001001802 233231.037 188260.482 215734.315 0.54672 -3.88504 -0.05696 0.0002574412 -0.41516 13.018 0.000348 843.164 286.924 0.00008711069 0.00022967387 0.0000904442 0.0001004787 233068.922 188228.835 215428.123 0.59297 -4.21713 -0.06070 0.0002572709 -0.46816 14.028 0.000375 843.005 286.953 0.00008661345 0.00023029670 0.0000899702 0.0001007688 232915.617 188214.910 215135.326 0.63919 -4.54966 -0.06428 0.0002570871 -0.52388 15.002 0.000401 842.861 286.988 0.00008613261 0.00023089307 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5.43717 0.0002430955 -2.73017 312.013 0.008334 872.130 299.884 0.00011035506 0.00018814191 0.0001052172 0.0000721188 262523.707 224528.587 258060.716 3.05507 13.36289 5.42369 0.0002436841 -2.59624 313.024 0.008361 871.311 299.414 0.00011012071 0.00018884428 0.0001052413 0.0000726741 261660.448 223295.005 256969.655 3.09031 13.13916 5.41034 0.0002442634 -2.46548 314.035 0.008388 870.504 298.954 0.00010987991 0.00018954824 0.0001052555 0.0000732296 260810.945 222084.992 255889.935 3.12585 12.91217 5.39714 0.0002448332 -2.33790 315.009 0.008414 869.737 298.519 0.00010964199 0.00019022749 0.0001052600 0.0000737648 260005.882 220941.984 254861.078 3.16034 12.69058 5.38455 0.0002453728 -2.21807 316.020 0.008441 868.951 298.076 0.00010938874 0.00019093415 0.0001052550 0.0000743205 259183.308 219777.967 253804.092 3.19645 12.45738 5.37162 0.0002459235 -2.09678 317.030 0.008468 868.177 297.642 0.00010912925 0.00019164197 0.0001052402 0.0000748761 258374.410 218637.234 252758.913 3.23284 12.22110 5.35883 0.0002464643 -1.97869 318.004 0.008494 867.442 297.233 0.00010887354 0.00019232457 0.0001052167 0.0000754107 257608.368 217560.657 251763.736 3.26816 11.99071 5.34666 0.0002469755 -1.86802 319.015 0.008521 866.690 296.816 0.00010860201 0.00019303432 0.0001051827 0.0000759654 256826.220 216465.317 250742.139 3.30513 11.74854 5.33416 0.0002474962 -1.75626 320.026 0.008548 865.950 296.409 0.00010832446 0.00019374486 0.0001051389 0.0000765195 256057.644 215392.935 249732.746 3.34238 11.50345 5.32181 0.0002480064 -1.64774 321.036 0.008575 865.221 296.010 0.00010804096 0.00019445606 0.0001050853 0.0000770726 255302.599 214343.392 248735.680 3.37992 11.25549 5.30962 0.0002485060 -1.54244 322.010 0.008601 864.530 295.635 0.00010776240 0.00019514144 0.0001050245 0.0000776043 254588.266 213354.194 247787.297 3.41634 11.01405 5.29802 0.0002489769 -1.44412 323.021 0.008628 863.824 295.254 0.00010746742 0.00019585360 0.0001049518 0.0000781553 253859.652 212349.130 246814.750 3.45444 10.76061 5.28612 0.0002494552 -1.34519 324.032 0.008655 863.129 294.882 0.00010716669 0.00019656608 0.0001048694 0.0000787049 253144.433 211366.540 245854.847 3.49283 10.50446 5.27438 0.0002499224 -1.24951 325.005 0.008681 862.471 294.532 0.00010687174 0.00019725237 0.0001047809 0.0000792327 252468.315 210441.463 244942.536 3.53006 10.25528 5.26322 0.0002503617 -1.16044 326.016 0.008708 861.799 294.177 0.00010655995 0.00019796516 0.0001046796 0.0000797792 251779.238 209502.614 244007.724 3.56900 9.99395 5.25178 0.0002508067 -1.07114 327.027 0.008735 861.139 293.831 0.00010624263 0.00019867794 0.0001045686 0.0000803237 251103.397 208585.856 243085.823 3.60822 9.73006 5.24050 0.0002512403 -0.98509 328.000 0.008761 860.514 293.506 0.00010593189 0.00019936422 0.0001044526 0.0000808462 250465.044 207723.806 242210.341 3.64624 9.47356 5.22979 0.0002516468 -0.90529 329.011 0.008788 859.876 293.177 0.00010560391 0.00020007669 0.0001043228 0.0000813865 249815.015 206850.025 241314.006 3.68600 9.20478 5.21883 0.0002520574 -0.82562 330.022 0.008815 859.250 292.857 0.00010527060 0.00020078886 0.0001041835 0.0000819246 249178.045 205997.941 240430.799 3.72602 8.93358 5.20802 0.0002524561 -0.74919 331.033 0.008842 858.636 292.546 0.00010493204 0.00020150062 0.0001040347 0.0000824600 248554.071 205167.422 239560.785 3.76632 8.66001 5.19738 0.0002528428 -0.67600 332.006 0.008868 858.056 292.254 0.00010460112 0.00020218555 0.0001038826 0.0000829731 247965.426 204387.919 238735.518 3.80537 8.39438 5.18728 0.0002532037 -0.60859 333.017 0.008895 857.465 291.960 0.00010425244 0.00020289624 0.0001037153 0.0000835031 247366.766 203599.342 237891.569 3.84617 8.11630 5.17696 0.0002535665 -0.54177 334.028 0.008922 856.885 291.674 0.00010389872 0.00020360625 0.0001035388 0.0000840301 246780.900 202831.936 237060.975 3.88724 7.83599 5.16680 0.0002539169 -0.47818 335.002 0.008948 856.338 291.407 0.00010355339 0.00020428924 0.0001033600 0.0000845345 246228.758 202112.837 236273.811 3.92702 7.56400 5.15717 0.0002542425 -0.41999 336.012 0.008975 855.781 291.139 0.00010318996 0.00020499766 0.0001031653 0.0000850550 245667.797 201386.605 235469.567 3.96858 7.27945 5.14733 0.0002545684 -0.36274 337.023 0.009002 855.236 290.878 0.00010282169 0.00020570513 0.0001029615 0.0000855720 245119.412 200681.156 234678.805 4.01038 6.99282 5.13766 0.0002548815 -0.30870 338.034 0.009029 854.702 290.627 0.00010244865 0.00020641158 0.0001027485 0.0000860854 244583.527 199996.362 233901.562 4.05242 6.70414 5.12815 0.0002551819 -0.25787 339.008 0.009055 854.199 290.392 0.00010208497 0.00020709082 0.0001025349 0.0000865761 244079.231 199356.333 233165.912 4.09313 6.42426 5.11915 0.0002554591 -0.21195 340.019 0.009082 853.688 290.157 0.00010170276 0.00020779502 0.0001023044 0.0000870818 243567.654 198711.716 232415.294 4.13563 6.13170 5.10997 0.0002557341 -0.16741 341.029 0.009109 853.188 289.931 0.00010131597 0.00020849795 0.0001020649 0.0000875833 243068.340 198087.381 231678.279 4.17836 5.83723 5.10095 0.0002559962 -0.12605 342.003 0.009135 852.718 289.720 0.00010093926 0.00020917358 0.0001018260 0.0000880621 242599.032 197505.227 230981.439 4.21971 5.55190 5.09243 0.0002562361 -0.08924 343.014 0.009162 852.241 289.510 0.00010054371 0.00020987380 0.0001015693 0.0000885551 242123.546 196920.355 230271.189 4.26287 5.25381 5.08374 0.0002564724 -0.05412 344.025 0.009189 851.776 289.308 0.00010014380 0.00021057252 0.0001013039 0.0000890434 241660.072 196355.412 229574.600 4.30623 4.95395 5.07522 0.0002566953 -0.02216 345.036 0.009216 851.321 289.115 0.00009973959 0.00021126967 0.0001010300 0.0000895269 241208.522 195810.282 228891.687 4.34980 4.65235 5.06686 0.0002569050 0.00664 346.009 0.009242 850.895 288.936 0.00009934636 0.00021193944 0.0001007582 0.0000899880 240784.882 195303.963 228247.002 4.39194 4.36032 5.05898 0.0002570942 0.03141 347.020 0.009269 850.463 288.759 0.00009893392 0.00021263329 0.0001004677 0.0000904617 240356.477 194797.399 227590.963 4.43589 4.05545 5.05095 0.0002572775 0.05405 348.031 0.009296 850.042 288.589 0.00009851739 0.00021332536 0.0001001689 0.0000909303 239939.727 194310.320 226948.626 4.48003 3.74897 5.04309 0.0002574472 0.07357 349.004 0.009322 849.647 288.434 0.00009811249 0.00021399003 0.0000998734 0.0000913765 239549.340 193859.598 226343.034 4.52270 3.45238 5.03569 0.0002575979 0.08943 350.015 0.009349 849.248 288.281 0.00009768813 0.00021467838 0.0000995585 0.0000918345 239155.194 193410.464 225727.604 4.56719 3.14288 5.02816 0.0002577410 0.10286 351.026 0.009376 848.860 288.135 0.00009725989 0.00021536474 0.0000992356 0.0000922868 238772.421 192980.509 225125.884 4.61184 2.83191 5.02080 0.0002578704 0.11321 352.037 0.009403 848.483 287.998 0.00009682784 0.00021604902 0.0000989048 0.0000927334 238400.923 192569.638 224537.872 4.65665 2.51952 5.01360 0.0002579862 0.12048 353.010 0.009429 848.131 287.873 0.00009640824 0.00021670595 0.0000985788 0.0000931578 238053.747 192191.931 223984.591 4.69995 2.21738 5.00683 0.0002580847 0.12459 354.021 0.009456 847.775 287.752 0.00009596890 0.00021738599 0.0000982328 0.0000935926 237704.090 191818.246 223423.475 4.74505 1.90230 4.99997 0.0002581734 0.12587 355.032 0.009483 847.430 287.638 0.00009552595 0.00021806376 0.0000978791 0.0000940213 237365.409 191463.372 222876.054 4.79029 1.58593 4.99327 0.0002582484 0.12412 356.005 0.009509 847.108 287.536 0.00009509606 0.00021871422 0.0000975314 0.0000944281 237049.548 191139.341 222361.842 4.83398 1.28008 4.98698 0.0002583075 0.11958 357.016 0.009536 846.785 287.438 0.00009464624 0.00021938735 0.0000971630 0.0000948443 236732.110 190821.147 221841.275 4.87947 0.96128 4.98062 0.0002583554 0.11191 358.027 0.009563 846.471 287.348 0.00009419301 0.00022005801 0.0000967874 0.0000952539 236425.336 190521.518 221334.375 4.92508 0.64130 4.97441 0.0002583893 0.10126 359.001 0.009589 846.180 287.268 0.00009375343 0.00022070145 0.0000964189 0.0000956420 236139.904 190250.463 220859.154 4.96910 0.33211 4.96860 0.0002584090 0.08819 360.012 0.009616 845.887 287.193 0.00009329374 0.00022136708 0.0000960294 0.0000960384 235853.751 189987.058 220379.044 5.01491 0.00996 4.96273 0.0002584157 0.07171 Engine speed (Hz) = 104.0000000000 Output power (W) = 7.3889337654 Heat into heater (W) = 521.5510572528 Heat to regenerator (W) = 1.0362597853 Heat removal from cooler (W) = 516.1236870833 Approximate Pumping loss (W) = -587.1693883880 Thermal efficiency (%) = 1.4167229963 The average engine pressure (Pa) = 277470.9003295455 The exp space work per cycle (J) = 5.0275765495 The comp space work per cycle (J) = -4.9565291095 The net work per cycle (J) = 0.0710474401 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.2387221129 The expansion work for Vmin-to-Vmax (J) = 24.3097695530 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.005 0.000000 846.858 287.219 0.00009338825 0.00022114630 0.0000960317 0.0000960360 236357.761 189819.514 220673.409 0.00000 0.00000 0.00000 0.0002584157 0.00000 1.026 0.000027 846.578 287.151 0.00009292187 0.00022181486 0.0000956314 0.0000964292 236083.669 189572.050 220202.079 0.04582 -0.32573 -0.00577 0.0002584086 -0.01987 2.009 0.000053 846.317 287.093 0.00009246974 0.00022245607 0.0000952394 0.0000968010 235829.559 189351.395 219761.293 0.09003 -0.64037 -0.01116 0.0002583884 -0.04182 3.029 0.000080 846.057 287.040 0.00009199714 0.00022311920 0.0000948256 0.0000971799 235575.768 189140.510 219317.129 0.13600 -0.96809 -0.01659 0.0002583535 -0.06754 4.012 0.000106 845.817 286.996 0.00009153916 0.00022375505 0.0000944208 0.0000975378 235340.987 188954.960 218902.472 0.18034 -1.28456 -0.02166 0.0002583066 -0.09509 5.033 0.000133 845.577 286.959 0.00009106063 0.00022441248 0.0000939940 0.0000979020 235107.038 188780.412 218485.409 0.22644 -1.61410 -0.02677 0.0002582440 -0.12659 6.016 0.000159 845.355 286.930 0.00009059707 0.00022504273 0.0000935769 0.0000982455 234891.138 188629.744 218096.817 0.27087 -1.93223 -0.03152 0.0002581704 -0.15967 7.036 0.000186 845.135 286.908 0.00009011291 0.00022569420 0.0000931376 0.0000985946 234676.558 188491.315 217706.785 0.31705 -2.26340 -0.03629 0.0002580802 -0.19688 8.019 0.000212 844.932 286.893 0.00008964407 0.00022631858 0.0000927088 0.0000989233 234479.080 188375.333 217344.189 0.36156 -2.58303 -0.04073 0.0002579801 -0.23543 9.002 0.000238 844.738 286.886 0.00008917274 0.00022693999 0.0000922744 0.0000992446 234290.468 188276.301 216994.318 0.40608 -2.90332 -0.04501 0.0002578671 -0.27663 10.022 0.000265 844.546 286.886 0.00008868072 0.00022758209 0.0000918175 0.0000995704 234103.864 188191.359 216644.441 0.45232 -3.23659 -0.04929 0.0002577359 -0.32221 11.005 0.000291 844.370 286.894 0.00008820453 0.00022819726 0.0000913722 0.0000998763 233932.972 188126.762 216320.456 0.49686 -3.55811 -0.05325 0.0002575965 -0.36877 12.026 0.000318 844.196 286.908 0.00008770762 0.00022883273 0.0000909042 0.0001001859 233764.520 188077.505 215997.423 0.54310 -3.89257 -0.05720 0.0002574381 -0.41987 13.009 0.000344 844.038 286.930 0.00008722687 0.00022944139 0.0000904484 0.0001004760 233610.866 188047.206 215699.249 0.58761 -4.21514 -0.06085 0.0002572725 -0.47172 14.029 0.000371 843.882 286.959 0.00008672538 0.00023006997 0.0000899699 0.0001007691 233460.062 188033.503 215402.980 0.63381 -4.55058 -0.06447 0.0002570870 -0.52827 15.012 0.000397 843.741 286.995 0.00008624036 0.00023067185 0.0000895043 0.0001010431 233323.156 188037.386 215130.543 0.67826 -4.87402 -0.06781 0.0002568954 -0.58532 16.033 0.000424 843.603 287.039 0.00008573460 0.00023129325 0.0000890158 0.0001013192 233189.486 188059.129 214860.960 0.72439 -5.21027 -0.07110 0.0002566830 -0.64723 17.015 0.000450 843.478 287.089 0.00008524563 0.00023188807 0.0000885408 0.0001015768 233068.829 188097.103 214614.184 0.76874 -5.53438 -0.07412 0.0002564657 -0.70941 18.036 0.000477 843.357 287.148 0.00008473592 0.00023250201 0.0000880430 0.0001018357 232951.773 188154.209 214371.212 0.81475 -5.87123 -0.07710 0.0002562267 -0.77661 19.019 0.000503 843.249 287.211 0.00008424331 0.00023308950 0.0000875594 0.0001020766 232846.862 188226.204 214150.026 0.85897 -6.19583 -0.07980 0.0002559839 -0.84383 20.002 0.000529 843.148 287.282 0.00008374903 0.00023367329 0.0000870716 0.0001023091 232749.489 188314.869 213941.367 0.90312 -6.52059 -0.08235 0.0002557287 -0.91351 21.022 0.000556 843.052 287.362 0.00008323405 0.00023427553 0.0000865610 0.0001025417 232656.218 188424.579 213737.926 0.94887 -6.85797 -0.08484 0.0002554507 -0.98842 22.005 0.000582 842.966 287.446 0.00008273661 0.00023485155 0.0000860655 0.0001027570 232573.829 188547.201 213554.757 0.99282 -7.18293 -0.08708 0.0002551705 -1.06302 23.026 0.000609 842.885 287.540 0.00008221852 0.00023544556 0.0000855470 0.0001029716 232495.852 188692.163 213377.753 1.03836 -7.52040 -0.08925 0.0002548666 -1.14301 24.008 0.000635 842.815 287.638 0.00008171825 0.00023601350 0.0000850442 0.0001031694 232427.933 188848.724 213220.013 1.08208 -7.84534 -0.09118 0.0002545617 -1.22244 25.029 0.000662 842.750 287.747 0.00008119740 0.00023659896 0.0000845186 0.0001033658 232364.715 189028.929 213069.389 1.12735 -8.18269 -0.09302 0.0002542324 -1.30741 26.012 0.000688 842.694 287.858 0.00008069464 0.00023715850 0.0000840092 0.0001035460 232310.751 189219.432 212937.026 1.17080 -8.50741 -0.09464 0.0002539032 -1.39160 27.032 0.000715 842.643 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212204.905 247086.734 3.41725 10.72696 5.30903 0.0002494484 -1.41483 324.027 0.008572 863.765 294.912 0.00010722466 0.00019639493 0.0001048698 0.0000787024 253467.081 211211.056 246118.707 3.45569 10.46942 5.29719 0.0002499202 -1.31831 325.010 0.008598 863.105 294.557 0.00010692835 0.00019708586 0.0001047805 0.0000792353 252789.002 210275.609 245198.753 3.49298 10.21885 5.28593 0.0002503638 -1.22850 326.030 0.008625 862.432 294.198 0.00010661504 0.00019780349 0.0001046781 0.0000797869 252098.151 209326.474 244256.197 3.53198 9.95602 5.27440 0.0002508130 -1.13849 327.013 0.008651 861.795 293.861 0.00010630799 0.00019849457 0.0001045701 0.0000803164 251445.647 208433.832 243360.938 3.56979 9.70045 5.26345 0.0002512345 -1.05495 328.034 0.008678 861.145 293.519 0.00010598366 0.00019921214 0.0001044485 0.0000808641 250781.239 207528.885 242444.190 3.60933 9.43252 5.25224 0.0002516606 -0.97145 329.017 0.008704 860.530 293.199 0.00010566614 0.00019990297 0.0001043221 0.0000813894 250154.086 206678.540 241573.930 3.64767 9.17214 5.24159 0.0002520595 -0.89418 330.037 0.008731 859.904 292.875 0.00010533107 0.00020062008 0.0001041814 0.0000819326 249515.882 205817.250 240683.286 3.68774 8.89931 5.23069 0.0002524620 -0.81719 331.020 0.008757 859.311 292.571 0.00010500335 0.00020131028 0.0001040367 0.0000824532 248913.841 205008.688 239838.292 3.72659 8.63430 5.22036 0.0002528379 -0.74617 332.003 0.008783 858.730 292.276 0.00010467071 0.00020200003 0.0001038831 0.0000829712 248324.026 204220.434 239005.779 3.76568 8.36708 5.21017 0.0002532024 -0.67823 333.023 0.008810 858.138 291.978 0.00010432014 0.00020271575 0.0001037143 0.0000835063 247724.399 203423.227 238154.511 3.80653 8.08730 5.19976 0.0002535686 -0.61092 334.006 0.008836 857.580 291.700 0.00010397769 0.00020340434 0.0001035427 0.0000840187 247159.311 202675.992 237347.595 3.84611 7.81572 5.18989 0.0002539094 -0.54922 335.027 0.008863 857.011 291.419 0.00010361707 0.00020411867 0.0001033553 0.0000845475 246585.220 201921.116 236523.006 3.88746 7.53151 5.17980 0.0002542508 -0.48838 336.010 0.008889 856.475 291.157 0.00010326506 0.00020480575 0.0001031659 0.0000850536 246044.583 201214.391 235741.868 3.92751 7.25576 5.17024 0.0002545674 -0.43291 337.030 0.008916 855.929 290.894 0.00010289466 0.00020551835 0.0001029601 0.0000855755 245495.735 200501.323 234944.132 3.96935 6.96729 5.16049 0.0002548836 -0.37852 338.013 0.008942 855.415 290.648 0.00010253337 0.00020620360 0.0001027531 0.0000860746 244979.258 199834.609 234188.925 4.00986 6.68753 5.15125 0.0002551758 -0.32925 339.034 0.008969 854.893 290.402 0.00010215345 0.00020691413 0.0001025291 0.0000865891 244455.345 199162.835 233418.185 4.05217 6.39500 5.14182 0.0002554663 -0.28129 340.016 0.008995 854.402 290.173 0.00010178313 0.00020759722 0.0001023049 0.0000870807 243962.727 198535.643 232689.034 4.09312 6.11141 5.13290 0.0002557336 -0.23819 341.037 0.009022 853.903 289.943 0.00010139398 0.00020830536 0.0001020631 0.0000875870 243463.429 197904.663 231945.407 4.13587 5.81499 5.12380 0.0002559981 -0.19664 342.020 0.009048 853.433 289.731 0.00010101489 0.00020898601 0.0001018217 0.0000880704 242994.355 197316.517 231242.411 4.17725 5.52774 5.11520 0.0002562402 -0.15968 343.003 0.009074 852.974 289.526 0.00010063159 0.00020966534 0.0001015722 0.0000885496 242536.711 196747.357 230552.276 4.21883 5.23875 5.10676 0.0002564698 -0.12573 344.023 0.009101 852.509 289.321 0.00010022917 0.00021036934 0.0001013043 0.0000890427 242073.479 196176.283 229849.227 4.26221 4.93686 5.09816 0.0002566950 -0.09365 345.006 0.009127 852.072 289.132 0.00009983750 0.00021104578 0.0001010381 0.0000895129 241638.887 195645.489 229185.354 4.30418 4.64446 5.09004 0.0002568990 -0.06579 346.027 0.009154 851.630 288.945 0.00009942652 0.00021174663 0.0001007532 0.0000899963 241199.416 195114.028 228509.605 4.34796 4.33912 5.08177 0.0002570975 -0.04001 347.009 0.009180 851.215 288.772 0.00009902673 0.00021241991 0.0001004708 0.0000904569 240787.531 194621.164 227872.042 4.39030 4.04348 5.07397 0.0002572756 -0.01821 348.030 0.009207 850.795 288.600 0.00009860746 0.00021311733 0.0001001691 0.0000909300 240371.456 194128.875 227223.630 4.43445 3.73486 5.06604 0.0002574471 0.00130 349.013 0.009233 850.402 288.443 0.00009819982 0.00021378716 0.0000998707 0.0000913804 239981.921 193673.526 226612.405 4.47714 3.43614 5.05856 0.0002575992 0.01709 350.033 0.009260 850.004 288.288 0.00009777252 0.00021448086 0.0000995527 0.0000918427 239588.866 193219.987 225991.352 4.52163 3.12441 5.05097 0.0002577435 0.03039 351.016 0.009286 849.632 288.146 0.00009735729 0.00021514698 0.0000992388 0.0000922825 239221.314 192801.757 225406.476 4.56464 2.82279 5.04381 0.0002578693 0.04022 352.037 0.009313 849.257 288.007 0.00009692225 0.00021583669 0.0000989048 0.0000927334 238850.892 192386.568 224812.786 4.60946 2.50812 5.03655 0.0002579862 0.04734 353.020 0.009339 848.906 287.881 0.00009649969 0.00021649883 0.0000985757 0.0000931619 238504.944 192005.084 224254.256 4.65276 2.20375 5.02972 0.0002580856 0.05125 354.002 0.009365 848.565 287.763 0.00009607363 0.00021715894 0.0000982392 0.0000935846 238169.451 191641.496 223708.645 4.69619 1.89810 5.02304 0.0002581719 0.05228 355.023 0.009392 848.222 287.648 0.00009562755 0.00021784220 0.0000978822 0.0000940175 237832.020 191282.778 223155.717 4.74143 1.57937 5.01628 0.0002582478 0.05031 356.006 0.009418 847.901 287.544 0.00009519456 0.00021849794 0.0000975312 0.0000944283 237517.545 190955.419 222636.422 4.78512 1.27122 5.00992 0.0002583075 0.04550 357.026 0.009445 847.580 287.445 0.00009474142 0.00021917655 0.0000971593 0.0000948484 237201.731 190634.155 222110.807 4.83061 0.94998 5.00349 0.0002583558 0.03749 358.009 0.009471 847.280 287.357 0.00009430176 0.00021982769 0.0000967942 0.0000952467 236907.868 190342.708 221617.795 4.87453 0.63950 4.99746 0.0002583889 0.02690 359.030 0.009498 846.979 287.273 0.00009384184 0.00022050138 0.0000964078 0.0000956535 236613.243 190058.582 221119.451 4.92024 0.31592 4.99137 0.0002584094 0.01292 360.013 0.009524 846.700 287.200 0.00009339579 0.00022114766 0.0000960289 0.0000960388 236339.574 189802.752 220652.679 4.96435 0.00327 4.98566 0.0002584157 -0.00339 Engine speed (Hz) = 105.0000000000 Output power (W) = -0.4276852977 Heat into heater (W) = 521.2563495246 Heat to regenerator (W) = 0.3430612035 Heat removal from cooler (W) = 523.4940411475 Approximate Pumping loss (W) = -601.2337323637 Thermal efficiency (%) = -0.0820489377 The average engine pressure (Pa) = 277573.8432047836 The exp space work per cycle (J) = 4.9741038839 The comp space work per cycle (J) = -4.9781770772 The net work per cycle (J) = -0.0040731933 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -24.2808685703 The expansion work for Vmin-to-Vmax (J) = 24.2767953770 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** The maximum engine volume (m^3) = 0.0002584157 The minimum engine volume (m^3) = 0.0001693203 Compression ratio: (max. engine volume)/(min. engine volume) = 1.5261947742 The heater volume (m^3) = 0.0000212149 The regenerator void volume (m^3) = 0.0000329000 The cooler volume (m^3) = 0.0000122331 The mass of working gas in the engine (kg) = 0.0004091942 Assuming an ambient temp. of roughly 20 deg C, initially pressurize the engine to a gauge pressure (psi) of 4.6227025319 Engine speed(Hz) Power(W) Thermal efficiency(%) Torque(N.m) Average engine pressure(Pa) 1.000 4.866 62.796 0.774 271630.472 2.000 9.725 62.769 0.774 271623.810 3.000 14.574 62.729 0.773 271627.232 4.000 19.410 62.677 0.772 271633.983 5.000 24.229 62.614 0.771 271642.467 6.000 29.028 62.539 0.770 271653.002 7.000 33.802 62.452 0.769 271665.456 8.000 38.550 62.357 0.767 271677.328 9.000 43.267 62.251 0.765 271691.601 10.000 47.951 62.136 0.763 271705.607 11.000 52.599 62.008 0.761 271724.573 12.000 57.208 61.873 0.759 271742.403 13.000 61.776 61.726 0.756 271762.716 14.000 66.298 61.572 0.754 271782.252 15.000 70.773 61.404 0.751 271807.070 16.000 75.198 61.231 0.748 271829.457 17.000 79.570 61.046 0.745 271855.676 18.000 83.886 60.853 0.742 271881.460 19.000 88.144 60.654 0.738 271904.558 20.000 92.340 60.440 0.735 271934.902 21.000 96.473 60.220 0.731 271963.960 22.000 100.539 59.987 0.727 271996.592 23.000 104.536 59.747 0.723 272029.539 24.000 108.461 59.500 0.719 272060.349 25.000 112.312 59.245 0.715 272092.468 26.000 116.086 58.976 0.711 272129.755 27.000 119.781 58.702 0.706 272163.040 28.000 123.393 58.413 0.701 272204.332 29.000 126.921 58.122 0.697 272239.765 30.000 130.363 57.822 0.692 272275.444 31.000 133.714 57.507 0.686 272317.277 32.000 136.973 57.185 0.681 272358.933 33.000 140.137 56.854 0.676 272401.014 34.000 143.205 56.511 0.670 272446.170 35.000 146.172 56.159 0.665 272492.965 36.000 149.039 55.802 0.659 272535.862 37.000 151.801 55.435 0.653 272580.373 38.000 154.456 55.054 0.647 272629.578 39.000 157.002 54.668 0.641 272676.079 40.000 159.437 54.270 0.634 272725.613 41.000 161.758 53.864 0.628 272773.859 42.000 163.961 53.441 0.621 272831.297 43.000 166.049 53.016 0.615 272881.054 44.000 168.014 52.574 0.608 272939.173 45.000 169.860 52.135 0.601 272984.631 46.000 171.575 51.668 0.594 273049.993 47.000 173.172 51.213 0.586 273091.920 48.000 174.635 50.733 0.579 273151.276 49.000 175.966 50.243 0.572 273210.714 50.000 177.164 49.743 0.564 273271.051 51.000 178.227 49.232 0.556 273332.276 52.000 179.154 48.711 0.548 273393.550 53.000 179.942 48.181 0.540 273453.202 54.000 180.587 47.635 0.532 273519.946 55.000 181.094 47.085 0.524 273579.639 56.000 181.449 46.514 0.516 273651.411 57.000 181.676 45.956 0.507 273695.878 58.000 181.731 45.353 0.499 273779.110 59.000 181.655 44.763 0.490 273836.024 60.000 181.417 44.147 0.481 273909.194 61.000 181.038 43.533 0.472 273967.251 62.000 180.494 42.893 0.463 274041.153 63.000 179.799 42.246 0.454 274110.795 64.000 178.947 41.586 0.445 274181.194 65.000 177.944 40.921 0.436 274243.711 66.000 176.761 40.223 0.426 274330.519 67.000 175.443 39.535 0.417 274390.899 68.000 173.880 38.848 0.407 274501.587 69.000 172.224 38.121 0.397 274576.817 70.000 170.421 37.393 0.387 274636.665 71.000 168.436 36.637 0.378 274714.297 72.000 166.277 35.862 0.368 274798.955 73.000 163.957 35.076 0.357 274878.982 74.000 161.492 34.290 0.347 274941.808 75.000 158.817 33.463 0.337 275037.768 76.000 156.009 32.642 0.327 275106.702 77.000 153.022 31.800 0.316 275183.253 78.000 149.875 30.946 0.306 275253.980 79.000 146.539 30.066 0.295 275338.299 80.000 143.032 29.170 0.285 275422.336 81.000 139.378 28.269 0.274 275491.293 82.000 135.518 27.333 0.263 275582.207 83.000 131.503 26.388 0.252 275662.711 84.000 127.300 25.418 0.241 275752.750 85.000 122.969 24.447 0.230 275818.338 86.000 118.406 23.434 0.219 275916.259 87.000 113.711 22.416 0.208 275993.541 88.000 108.806 21.365 0.197 276089.406 89.000 103.764 20.305 0.186 276168.001 90.000 98.542 19.222 0.174 276250.038 91.000 93.138 18.114 0.163 276337.471 92.000 87.590 16.992 0.152 276412.272 93.000 81.851 15.841 0.140 276495.908 94.000 75.868 14.645 0.128 276610.814 95.000 69.778 13.444 0.117 276697.591 96.000 63.534 12.222 0.105 276777.729 97.000 57.135 10.978 0.094 276852.484 98.000 50.523 9.696 0.082 276944.585 99.000 43.747 8.388 0.070 277034.368 100.000 36.805 7.053 0.059 277123.104 101.000 29.695 5.689 0.047 277212.127 102.000 22.413 4.294 0.035 277302.693 103.000 14.955 2.865 0.023 277396.160 104.000 7.389 1.417 0.011 277470.900 105.000 -0.428 -0.082 -0.001 277573.843