Swept volume in expansion space (cm^3) 87.000000000 Swept volume in compression space (cm^3) 87.000000000 Minimum volume in expansion space (cm^3) 5.000000000 Minimum volume in compression space (cm^3) 5.000000000 Phase angle (degrees) 90.000000000 Regenerator void volume (cm^3) 72.000000000 Flow cross-sectional area of each heater tube (cm^2) 0.040000000 Flow cross-sectional area of each cooler tube (cm^2) 0.040000000 Wetted perimeter for each heater tube (cm) 0.800000000 Wetted perimeter for each cooler tube (cm) 0.800000000 Flow length of each heater tube (cm) 18.000000000 Flow length of each cooler tube (cm) 18.000000000 Number of tubes in heater 50 Number of tubes in cooler 50 Heater temperature (K) 1000.000000000 Cooler temperature (K) 293.000000000 Average pressure (Pa) 8785750.000000000 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 840.373 270.372 0.00202683094 0.00629930587 0.0000809991 0.0000809992 6035191.446 6034702.851 6034918.115 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.000 0.002778 839.864 270.313 0.00201022080 0.00632860007 0.0000804576 0.0000815313 6022370.081 6021885.407 6022094.758 3.13592 -13.63890 -0.46164 0.0003059889 -0.05670 2.000 0.005556 839.374 270.259 0.00199354487 0.00635744056 0.0000799068 0.0000820540 6010073.848 6009593.099 6009796.600 6.27191 -27.25038 -0.90437 0.0003059608 -0.22601 3.000 0.008334 838.906 270.210 0.00197680564 0.00638582652 0.0000793470 0.0000825669 5998301.078 5997824.259 5998021.972 9.40734 -40.83289 -1.32826 0.0003059140 -0.50744 4.000 0.011112 838.457 270.165 0.00196000552 0.00641375711 0.0000787784 0.0000830700 5987050.150 5986577.264 5986769.255 12.54162 -54.38494 -1.73336 0.0003058484 -0.90048 5.000 0.013889 838.028 270.124 0.00194315302 0.00644122168 0.0000782012 0.0000835630 5976323.260 5975854.309 5976040.643 15.67298 -67.90018 -2.11959 0.0003057642 -1.40444 6.000 0.016667 837.620 270.089 0.00192623838 0.00646823914 0.0000776153 0.0000840459 5966111.161 5965646.148 5965826.887 18.80305 -81.38685 -2.48728 0.0003056613 -2.01915 7.000 0.019445 837.232 270.057 0.00190926999 0.00649479860 0.0000770211 0.0000845186 5956416.338 5955955.265 5956130.475 21.93008 -94.83863 -2.83636 0.0003055397 -2.74395 8.000 0.022223 836.864 270.031 0.00189225020 0.00652089916 0.0000764188 0.0000849808 5947237.374 5946780.241 5946949.987 25.05344 -108.25406 -3.16685 0.0003053995 -3.57831 9.000 0.025000 836.516 270.009 0.00187518744 0.00654653071 0.0000758086 0.0000854323 5938575.933 5938122.740 5938287.089 28.17135 -121.62688 -3.47872 0.0003052409 -4.52135 10.000 0.027778 836.189 269.991 0.00185807172 0.00657171072 0.0000751905 0.0000858732 5930424.471 5929975.218 5930134.236 31.28543 -134.96528 -3.77222 0.0003050637 -5.57323 11.000 0.030556 835.882 269.979 0.00184091142 0.00659642887 0.0000745648 0.0000863032 5922784.951 5922339.637 5922493.389 34.39391 -148.26302 -4.04729 0.0003048680 -6.73309 12.000 0.033334 835.595 269.971 0.00182370878 0.00662068409 0.0000739316 0.0000867223 5915656.182 5915214.807 5915363.360 37.49614 -161.51867 -4.30397 0.0003046539 -8.00040 13.000 0.036112 835.328 269.967 0.00180646601 0.00664447528 0.0000732913 0.0000871302 5909037.034 5908599.594 5908743.017 40.59145 -174.73081 -4.54230 0.0003044215 -9.37462 14.000 0.038889 835.082 269.968 0.00178919155 0.00666779299 0.0000726441 0.0000875268 5902928.545 5902495.037 5902633.398 43.67810 -187.89330 -4.76225 0.0003041709 -10.85466 15.000 0.041667 834.856 269.974 0.00177187514 0.00669065283 0.0000719899 0.0000879122 5897325.308 5896895.730 5897029.095 46.75763 -201.01420 -4.96400 0.0003039021 -12.44103 16.000 0.044445 834.650 269.984 0.00175452515 0.00671304509 0.0000713291 0.0000882860 5892228.666 5891803.014 5891931.453 49.82827 -214.08735 -5.14752 0.0003036151 -14.13267 17.000 0.047223 834.465 270.000 0.00173714374 0.00673496848 0.0000706618 0.0000886483 5887637.738 5887216.008 5887339.590 52.88936 -227.11136 -5.31283 0.0003033101 -15.92903 18.000 0.050000 834.300 270.019 0.00171973934 0.00675641403 0.0000699886 0.0000889988 5883553.083 5883135.269 5883254.065 55.93912 -240.08013 -5.45991 0.0003029874 -17.82885 19.000 0.052778 834.155 270.044 0.00170230153 0.00677739580 0.0000693091 0.0000893376 5879971.005 5879557.102 5879671.181 58.97907 -253.00161 -5.58889 0.0003026466 -19.83292 20.000 0.055556 834.031 270.073 0.00168483870 0.00679790455 0.0000686238 0.0000896644 5876892.376 5876482.379 5876591.811 62.00745 -265.86971 -5.69975 0.0003022882 -21.94003 21.000 0.058334 833.926 270.106 0.00166735297 0.00681793877 0.0000679329 0.0000899793 5874316.572 5873910.472 5874015.329 65.02356 -278.68299 -5.79250 0.0003019122 -24.14960 22.000 0.061112 833.843 270.145 0.00164984645 0.00683749692 0.0000672366 0.0000902821 5872243.032 5871840.823 5871941.177 68.02672 -291.44004 -5.86717 0.0003015186 -26.46106 23.000 0.063889 833.779 270.188 0.00163232755 0.00685657058 0.0000665353 0.0000905725 5870671.739 5870273.412 5870369.338 71.01517 -304.13488 -5.92376 0.0003011079 -28.87293 24.000 0.066667 833.736 270.236 0.00161478575 0.00687517183 0.0000658289 0.0000908508 5869601.136 5869206.682 5869298.252 73.99036 -316.77520 -5.96232 0.0003006797 -31.38638 25.000 0.069445 833.713 270.288 0.00159722946 0.00689329196 0.0000651177 0.0000911167 5869031.519 5868640.928 5868728.217 76.95054 -329.35499 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0.0000472057 7344881.717 7344236.453 7344786.626 237.27818 661.79270 177.41709 0.0002848397 106.03993 312.000 0.866667 887.351 278.426 0.00268686564 0.00438384323 0.0000936804 0.0000479635 7304233.117 7303589.472 7304133.249 239.79553 649.38876 175.95356 0.0002856439 111.92993 313.000 0.869445 885.961 278.154 0.00267726598 0.00443307722 0.0000937135 0.0000487221 7264168.284 7263526.372 7264063.641 242.33376 636.88811 174.51106 0.0002864356 117.69613 314.000 0.872223 884.586 277.887 0.00266741997 0.00448197836 0.0000937334 0.0000494811 7224689.027 7224048.959 7224579.617 244.89273 624.29488 173.08963 0.0002872144 123.33825 315.000 0.875000 883.227 277.624 0.00265733661 0.00453052235 0.0000937400 0.0000502400 7185810.771 7185172.653 7185696.608 247.47136 611.61766 171.68984 0.0002879800 128.85407 316.000 0.877778 881.882 277.365 0.00264701391 0.00457873763 0.0000937334 0.0000509993 7147506.785 7146870.719 7147387.885 250.07135 598.85125 170.31073 0.0002887326 134.24737 317.000 0.880556 880.554 277.111 0.00263646066 0.00462660045 0.0000937135 0.0000517583 7109792.190 7109158.278 7109668.575 252.69159 586.00405 168.95284 0.0002894718 139.51595 318.000 0.883334 879.241 276.861 0.00262568200 0.00467410490 0.0000936804 0.0000525168 7072667.766 7072036.103 7072539.463 255.33188 573.07982 167.61619 0.0002901972 144.65968 319.000 0.886112 877.944 276.616 0.00261468298 0.00472124537 0.0000936340 0.0000532747 7036134.065 7035504.743 7036001.105 257.99201 560.08224 166.30081 0.0002909087 149.67844 320.000 0.888889 876.664 276.375 0.00260347265 0.00476799978 0.0000935745 0.0000540313 7000204.257 6999577.365 7000066.676 260.67078 547.01963 165.00717 0.0002916058 154.57041 321.000 0.891667 875.400 276.139 0.00259204785 0.00481439675 0.0000935017 0.0000547871 6964852.600 6964228.225 6964710.435 263.36986 533.88608 163.73434 0.0002922888 159.33906 322.000 0.894445 874.152 275.907 0.00258041742 0.00486041460 0.0000934157 0.0000555415 6930092.084 6929470.307 6929945.376 266.08804 520.68974 162.48280 0.0002929572 163.98257 323.000 0.897223 872.922 275.679 0.00256858611 0.00490604879 0.0000933166 0.0000562943 6895922.472 6895303.371 6895771.265 268.82504 507.43394 161.25253 0.0002936109 168.50096 324.000 0.900000 871.709 275.456 0.00255656299 0.00495127882 0.0000932044 0.0000570449 6862355.337 6861738.988 6862199.681 271.57957 494.12679 160.04396 0.0002942494 172.89267 325.000 0.902778 870.512 275.237 0.00254434400 0.00499613320 0.0000930791 0.0000577938 6829365.939 6828752.414 6829205.881 274.35330 480.76189 158.85618 0.0002948729 177.16094 326.000 0.905556 869.333 275.022 0.00253193799 0.00504059175 0.0000929408 0.0000585403 6796965.755 6796355.124 6796801.347 277.14493 467.34717 157.68962 0.0002954811 181.30422 327.000 0.908334 868.172 274.812 0.00251934941 0.00508465084 0.0000927894 0.0000592844 6765153.929 6764546.257 6764985.226 279.95413 453.88567 156.54424 0.0002960737 185.32262 328.000 0.911112 867.028 274.606 0.00250658266 0.00512830705 0.0000926250 0.0000600256 6733929.473 6733324.824 6733756.532 282.78055 440.38040 155.42000 0.0002966507 189.21625 329.000 0.913889 865.902 274.405 0.00249364676 0.00517154165 0.0000924478 0.0000607637 6703302.203 6702700.635 6703125.083 285.62281 426.83915 154.31727 0.0002972115 192.98391 330.000 0.916667 864.794 274.208 0.00248053664 0.00521438275 0.0000922577 0.0000614987 6673248.839 6672650.410 6673067.599 288.48257 413.25503 153.23520 0.0002977565 196.62849 331.000 0.919445 863.704 274.015 0.00246726110 0.00525681183 0.0000920548 0.0000622304 6643779.190 6643183.955 6643593.891 291.35844 399.63570 152.17415 0.0002982852 200.14878 332.000 0.922223 862.632 273.827 0.00245382426 0.00529882619 0.0000918392 0.0000629584 6614891.834 6614299.844 6614702.537 294.25003 385.98387 151.13406 0.0002987976 203.54497 333.000 0.925000 861.578 273.643 0.00244023506 0.00534040839 0.0000916109 0.0000636823 6586595.344 6586006.647 6586402.117 297.15587 372.30714 150.11524 0.0002992932 206.81613 334.000 0.927778 860.543 273.463 0.00242648770 0.00538158597 0.0000913700 0.0000644023 6558867.750 6558282.395 6558670.656 300.07766 358.59825 149.11691 0.0002997723 209.96485 335.000 0.930556 859.526 273.288 0.00241259093 0.00542234164 0.0000911166 0.0000651180 6531717.683 6531135.713 6531516.787 303.01391 344.86468 148.13937 0.0003002346 212.99016 336.000 0.933334 858.528 273.118 0.00239854860 0.00546267326 0.0000908507 0.0000658292 6505143.410 6504564.866 6504938.780 305.96419 331.10890 147.18256 0.0003006799 215.89234 337.000 0.936112 857.549 272.951 0.00238436447 0.00550257886 0.0000905724 0.0000665356 6479143.140 6478568.063 6478934.844 308.92806 317.33335 146.24642 0.0003011080 218.67167 338.000 0.938889 856.589 272.789 0.00237004742 0.00554204240 0.0000902819 0.0000672369 6453724.081 6453152.506 6453512.188 311.90398 303.54536 145.33121 0.0003015188 221.32749 339.000 0.941667 855.647 272.632 0.00235559077 0.00558109056 0.0000899792 0.0000679332 6428866.035 6428297.999 6428650.613 314.89364 289.73733 144.43619 0.0003019123 223.86204 340.000 0.944445 854.724 272.479 0.00234100324 0.00561970737 0.0000896643 0.0000686241 6404576.327 6404011.863 6404357.445 317.89550 275.91649 143.56163 0.0003022884 226.27464 341.000 0.947223 853.821 272.330 0.00232628832 0.00565789128 0.0000893374 0.0000693094 6380852.992 6380292.131 6380630.720 320.90907 262.08506 142.70747 0.0003026468 228.56564 342.000 0.950000 852.937 272.186 0.00231145484 0.00569562728 0.0000889988 0.0000699886 6357702.268 6357145.038 6357476.677 323.93277 248.25020 141.87393 0.0003029874 230.73461 343.000 0.952778 852.072 272.046 0.00229649550 0.00573294118 0.0000886482 0.0000706621 6335105.465 6334551.894 6334876.624 326.96829 234.40408 141.06033 0.0003033103 232.78347 344.000 0.955556 851.226 271.911 0.00228141896 0.00576981797 0.0000882859 0.0000713293 6313068.981 6312519.096 6312836.961 330.01402 220.55375 140.26690 0.0003036152 234.71179 345.000 0.958334 850.400 271.780 0.00226622848 0.00580625643 0.0000879120 0.0000719902 6291590.765 6291044.590 6291355.636 333.06947 206.70126 139.49357 0.0003039022 236.51993 346.000 0.961112 849.593 271.654 0.00225092728 0.00584225537 0.0000875266 0.0000726444 6270668.755 6270126.312 6270430.589 336.13411 192.84862 138.74027 0.0003041710 238.20828 347.000 0.963889 848.805 271.532 0.00223552410 0.00587780094 0.0000871301 0.0000732915 6250308.119 6249769.428 6250066.986 339.20630 179.00275 138.00718 0.0003044216 239.77670 348.000 0.966667 848.038 271.415 0.00222001095 0.00591291770 0.0000867221 0.0000739319 6230492.126 6229957.207 6230248.097 342.28773 165.15562 137.29370 0.0003046540 241.22671 349.000 0.969445 847.289 271.302 0.00220439642 0.00594759172 0.0000863030 0.0000745650 6211226.146 6210695.018 6210979.291 345.37675 151.31410 136.60002 0.0003048681 242.55815 350.000 0.972223 846.561 271.193 0.00218868350 0.00598182206 0.0000858730 0.0000751908 6192508.124 6191980.803 6192258.514 348.47282 137.48003 135.92607 0.0003050637 243.77142 351.000 0.975000 845.852 271.089 0.00217288088 0.00601559567 0.0000854322 0.0000758087 6174342.460 6173818.961 6174090.166 351.57426 123.66021 135.27201 0.0003052409 244.86659 352.000 0.977778 845.163 270.990 0.00215698006 0.00604893600 0.0000849806 0.0000764190 6156714.044 6156194.383 6156459.135 354.68275 109.84646 134.63730 0.0003053996 245.84488 353.000 0.980556 844.494 270.895 0.00214098959 0.00608182992 0.0000845184 0.0000770214 6139627.506 6139111.695 6139370.053 357.79662 96.04552 134.02209 0.0003055398 246.70630 354.000 0.983334 843.845 270.804 0.00212491228 0.00611427657 0.0000840457 0.0000776156 6123080.858 6122568.910 6122820.930 360.91529 82.25912 133.42632 0.0003056613 247.45133 355.000 0.986112 843.216 270.718 0.00210875091 0.00614627514 0.0000835628 0.0000782015 6107072.138 6106564.064 6106809.805 364.03818 68.48894 132.84992 0.0003057642 248.08039 356.000 0.988889 842.606 270.637 0.00209251407 0.00617781354 0.0000830698 0.0000787786 6091604.884 6091100.693 6091340.217 367.16360 54.74160 132.29301 0.0003058484 248.59380 357.000 0.991667 842.017 270.560 0.00207619275 0.00620891366 0.0000825667 0.0000793473 6076666.053 6076165.755 6076399.119 370.29321 41.00885 131.75514 0.0003059140 248.99239 358.000 0.994445 841.447 270.488 0.00205979542 0.00623956327 0.0000820538 0.0000799071 6062259.441 6061763.043 6061990.309 373.42529 27.29727 131.23642 0.0003059608 249.27643 359.000 0.997223 840.898 270.420 0.00204332470 0.00626976159 0.0000815311 0.0000804578 6048383.212 6047890.723 6048111.951 376.55925 13.60844 130.73680 0.0003059889 249.44639 360.000 1.000000 840.369 270.357 0.00202678914 0.00629949718 0.0000809991 0.0000809992 6035040.280 6034551.704 6034766.959 379.69336 -0.05113 130.25638 0.0003059983 249.50276 Engine speed (Hz) = 1.0000000000 Output power (W) = 249.5027569613 Heat into heater (W) = 379.6933619868 Heat to regenerator (W) = -0.0511344823 Heat removal from cooler (W) = 130.2563774913 Approximate Pumping loss (W) = -0.1368575186 Thermal efficiency (%) = 65.7116457490 The average engine pressure (Pa) = 8435080.3272713050 The exp space work per cycle (J) = 379.6763123456 The comp space work per cycle (J) = -130.1735553843 The net work per cycle (J) = 249.5027569613 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -903.1387023094 The expansion work for Vmin-to-Vmax (J) = 1152.6414592707 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 839.736 270.480 0.00202876649 0.00629683729 0.0000809987 0.0000809996 6036410.204 6034706.891 6035456.998 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.000 0.001389 839.228 270.421 0.00201215462 0.00632612192 0.0000804576 0.0000815313 6023605.215 6021915.527 6022645.057 3.14642 -13.63852 -0.46123 0.0003059889 -0.05731 2.000 0.002778 838.740 270.366 0.00199546489 0.00635497420 0.0000799068 0.0000820540 6011315.822 6009639.787 6010348.941 6.29523 -27.25953 -0.90389 0.0003059608 -0.22725 3.000 0.004167 838.272 270.316 0.00197871169 0.00638337205 0.0000793470 0.0000825669 5999549.773 5997887.406 5998576.406 9.44355 -40.85169 -1.32770 0.0003059140 -0.50931 4.000 0.005556 837.824 270.271 0.00196189748 0.00641131462 0.0000787784 0.0000830700 5988305.451 5986656.765 5987325.833 12.59076 -54.41347 -1.73272 0.0003058484 -0.90299 5.000 0.006945 837.396 270.231 0.00194502467 0.00643880106 0.0000782010 0.0000835631 5977581.286 5975946.291 5976595.650 15.73623 -67.94339 -2.11901 0.0003057641 -1.40779 6.000 0.008334 836.988 270.195 0.00192809564 0.00646583048 0.0000776151 0.0000840461 5967375.758 5965754.463 5966384.337 18.87934 -81.43997 -2.48662 0.0003056612 -2.02319 7.001 0.009723 836.601 270.163 0.00191111274 0.00649240199 0.0000770209 0.0000845187 5957687.400 5956079.810 5956690.426 22.01946 -94.90173 -2.83560 0.0003055397 -2.74869 8.001 0.011112 836.233 270.136 0.00189407830 0.00651851465 0.0000764185 0.0000849810 5948514.798 5946920.917 5947512.502 25.15594 -108.32721 -3.16600 0.0003053995 -3.58376 9.001 0.012501 835.886 270.114 0.00187699463 0.00654416751 0.0000758082 0.0000854326 5939856.592 5938276.422 5938849.205 28.28816 -121.71498 -3.47788 0.0003052408 -4.52788 10.000 0.013889 835.560 270.097 0.00185987636 0.00656934161 0.0000751905 0.0000858732 5931717.159 5930150.690 5930704.914 31.41320 -135.05399 -3.77108 0.0003050637 -5.57972 11.000 0.015278 835.253 270.084 0.00184270108 0.00659407218 0.0000745648 0.0000863032 5924083.525 5922530.765 5923066.647 34.53494 -148.36203 -4.04605 0.0003048680 -6.74028 12.000 0.016667 834.967 270.076 0.00182548334 0.00661833987 0.0000739316 0.0000867223 5916960.553 5915421.496 5915939.270 37.65047 -161.62805 -4.30264 0.0003046539 -8.00829 13.000 0.018056 834.701 270.072 0.00180822537 0.00664214357 0.0000732913 0.0000871302 5910347.113 5908821.754 5909321.654 40.75912 -174.85063 -4.54087 0.0003044215 -9.38323 14.000 0.019445 834.455 270.073 0.00179092937 0.00666548214 0.0000726439 0.0000875269 5904242.139 5902730.469 5903212.731 43.86024 -188.02835 -4.76079 0.0003041708 -10.86454 15.000 0.020834 834.229 270.079 0.00177359753 0.00668835437 0.0000719897 0.0000879123 5898644.626 5897146.634 5897611.496 46.95317 -201.15980 -4.96244 0.0003039020 -12.45168 16.001 0.022223 834.024 270.089 0.00175623201 0.00671075904 0.0000713288 0.0000882862 5893553.630 5892069.304 5892517.004 50.03725 -214.24357 -5.14584 0.0003036150 -14.14410 17.001 0.023612 833.839 270.104 0.00173883498 0.00673269485 0.0000706616 0.0000886485 5888968.270 5887497.596 5887928.374 53.11179 -227.27824 -5.31103 0.0003033100 -15.94125 18.001 0.025001 833.674 270.124 0.00172140859 0.00675416047 0.0000699881 0.0000889990 5884887.730 5883430.692 5883844.791 56.17613 -240.26239 -5.45804 0.0003029871 -17.84256 19.000 0.026389 833.530 270.148 0.00170396754 0.00677513955 0.0000693091 0.0000893376 5881313.652 5879870.221 5880267.897 59.22740 -253.18533 -5.58681 0.0003026466 -19.84601 20.000 0.027778 833.406 270.177 0.00168648883 0.00679566089 0.0000686238 0.0000896645 5878240.199 5876810.363 5877191.850 62.26931 -266.06426 -5.69755 0.0003022882 -21.95390 21.000 0.029167 833.302 270.211 0.00166898714 0.00681570770 0.0000679328 0.0000899793 5875669.504 5874253.241 5874618.789 65.29898 -278.88843 -5.79018 0.0003019122 -24.16426 22.000 0.030556 833.218 270.249 0.00165146457 0.00683527841 0.0000672365 0.0000902821 5873601.012 5872198.295 5872548.155 68.31572 -291.65641 -5.86472 0.0003015186 -26.47651 23.000 0.031945 833.155 270.292 0.00163392324 0.00685437140 0.0000665351 0.0000905726 5872034.232 5870645.035 5870979.460 71.31884 -304.36677 -5.92119 0.0003011077 -28.89009 24.000 0.033334 833.112 270.340 0.00161636524 0.00687298498 0.0000658286 0.0000908509 5870968.740 5869593.032 5869912.279 74.30764 -317.01807 -5.95961 0.0003006795 -31.40440 25.001 0.034723 833.089 270.392 0.00159879269 0.00689111741 0.0000651174 0.0000911168 5870404.180 5869041.927 5869346.256 77.28143 -329.60888 -5.97999 0.0003002342 -34.01886 26.001 0.036112 833.086 270.449 0.00158120767 0.00690876688 0.0000644017 0.0000913702 5870340.261 5868991.426 5869281.100 80.23951 -342.13773 -5.98233 0.0002997719 -36.73287 27.001 0.037501 833.104 270.511 0.00156361229 0.00692593150 0.0000636817 0.0000916111 5870776.758 5869441.304 5869716.589 83.18118 -354.60316 -5.96665 0.0002992928 -39.54583 28.000 0.038889 833.142 270.577 0.00154602133 0.00694259749 0.0000629581 0.0000918393 5871712.661 5870390.535 5870651.711 86.10362 -366.99479 -5.93299 0.0002987974 -42.45502 29.000 0.040278 833.200 270.649 0.00152841154 0.00695878686 0.0000622301 0.0000920549 5873149.229 5871840.394 5872087.725 89.01035 -379.32900 -5.88129 0.0002982850 -45.46402 30.000 0.041667 833.278 270.725 0.00151079771 0.00697448534 0.0000614984 0.0000922578 5875085.943 5873790.350 5874024.114 91.89853 -391.59532 -5.81158 0.0002977562 -48.57015 31.000 0.043056 833.377 270.805 0.00149318195 0.00698969077 0.0000607633 0.0000924479 5877522.846 5876240.443 5876460.924 94.76746 -403.79226 -5.72386 0.0002972113 -51.77280 32.000 0.044445 833.495 270.890 0.00147556637 0.00700440091 0.0000600250 0.0000926252 5880460.049 5879190.778 5879398.263 97.61640 -415.91829 -5.61811 0.0002966502 -55.07134 33.000 0.045834 833.634 270.980 0.00145795312 0.00701861346 0.0000592838 0.0000927895 5883897.727 5882641.526 5882836.308 100.44465 -427.97186 -5.49434 0.0002960733 -58.46514 34.001 0.047223 833.793 271.075 0.00144034433 0.00703232605 0.0000585397 0.0000929409 5887836.120 5886592.924 5886775.302 103.25148 -439.95141 -5.35254 0.0002954806 -61.95357 35.001 0.048612 833.972 271.175 0.00142274215 0.00704553621 0.0000577932 0.0000930792 5892275.537 5891045.273 5891215.553 106.03616 -451.85538 -5.19269 0.0002948724 -65.53598 36.001 0.050001 834.171 271.279 0.00140514874 0.00705824142 0.0000570443 0.0000932045 5897216.348 5895998.940 5896157.433 108.79796 -463.68216 -5.01478 0.0002942489 -69.21173 37.000 0.051389 834.391 271.388 0.00138757894 0.00707043047 0.0000562939 0.0000933167 5902654.890 5901450.247 5901597.279 111.53418 -475.42173 -4.81895 0.0002936106 -72.97741 38.000 0.052778 834.630 271.501 0.00137000962 0.00708211823 0.0000555412 0.0000934158 5908599.499 5907407.541 5907543.430 114.24805 -487.08935 -4.60489 0.0002929569 -76.83778 39.000 0.054167 834.889 271.620 0.00135245565 0.00709329297 0.0000547868 0.0000935017 5915047.001 5913867.633 5913992.714 116.93683 -498.67490 -4.37271 0.0002922885 -80.78949 40.000 0.055556 835.169 271.743 0.00133491926 0.00710395185 0.0000540310 0.0000935745 5921998.021 5920831.140 5920945.755 119.59980 -510.17669 -4.12240 0.0002916055 -84.83188 41.000 0.056945 835.469 271.871 0.00131740269 0.00711409194 0.0000532741 0.0000936341 5929453.247 5928298.742 5928403.244 122.23620 -521.59305 -3.85394 0.0002909081 -88.96424 42.000 0.058334 835.788 272.003 0.00129990821 0.00712371023 0.0000525162 0.0000936804 5937413.425 5936271.179 5936365.929 124.84530 -532.92224 -3.56728 0.0002901966 -93.18589 43.001 0.059723 836.127 272.141 0.00128243810 0.00713280364 0.0000517577 0.0000937135 5945879.365 5944749.250 5944834.620 127.42636 -544.16252 -3.26241 0.0002894712 -97.49612 44.001 0.061112 836.487 272.283 0.00126499468 0.00714136900 0.0000509987 0.0000937334 5954851.934 5953733.813 5953810.186 129.97862 -555.31212 -2.93929 0.0002887320 -101.89423 45.001 0.062501 836.866 272.430 0.00124758028 0.00714940305 0.0000502394 0.0000937400 5964332.056 5963225.781 5963293.555 132.50134 -566.36926 -2.59788 0.0002879794 -106.37948 46.000 0.063889 837.265 272.581 0.00123020975 0.00715689726 0.0000494807 0.0000937334 5974313.339 5973218.742 5973278.332 134.99199 -577.32426 -2.23843 0.0002872141 -110.94783 47.000 0.065278 837.684 272.738 0.00121286047 0.00716385900 0.0000487217 0.0000937135 5984811.203 5983728.121 5983779.945 137.45340 -588.19104 -1.86037 0.0002864352 -115.60513 48.000 0.066667 838.123 272.899 0.00119554737 0.00717027920 0.0000479632 0.0000936804 5995819.733 5994747.980 5994792.477 139.88302 -598.95983 -1.46392 0.0002856435 -120.34735 49.000 0.068056 838.582 273.065 0.00117827289 0.00717615427 0.0000472053 0.0000936340 6007340.075 6006279.450 6006317.076 142.28009 -609.62870 -1.04904 0.0002848393 -125.17374 50.000 0.069445 839.060 273.235 0.00116103951 0.00718148054 0.0000464484 0.0000935744 6019373.425 6018323.710 6018354.942 144.64387 -620.19573 -0.61567 0.0002840228 -130.08353 51.000 0.070834 839.558 273.411 0.00114384975 0.00718625428 0.0000456926 0.0000935017 6031921.034 6030881.992 6030907.325 146.97359 -630.65895 -0.16379 0.0002831943 -135.07593 52.001 0.072223 840.076 273.591 0.00112670613 0.00719047165 0.0000449382 0.0000934157 6044984.198 6043955.571 6043975.525 149.26851 -641.01638 0.30667 0.0002823539 -140.15015 53.001 0.073612 840.613 273.776 0.00110961124 0.00719412875 0.0000441855 0.0000933166 6058564.263 6057545.769 6057560.890 151.52786 -651.26598 0.79574 0.0002815020 -145.30538 54.001 0.075001 841.170 273.966 0.00109256769 0.00719722159 0.0000434345 0.0000932044 6072662.621 6071653.948 6071664.813 153.75090 -661.40571 1.30348 0.0002806389 -150.54081 55.000 0.076389 841.747 274.160 0.00107559034 0.00719974447 0.0000426862 0.0000930791 6087269.998 6086270.794 6086278.017 155.93532 -671.42628 1.82956 0.0002797653 -155.85173 56.000 0.077778 842.343 274.360 0.00105865743 0.00720169688 0.0000419397 0.0000929408 6102408.921 6101418.806 6101423.042 158.08350 -681.34002 2.37478 0.0002788804 -161.24497 57.000 0.079167 842.958 274.564 0.00104178391 0.00720307256 0.0000411956 0.0000927894 6118070.580 6117089.111 6117091.074 160.19311 -691.13751 2.93883 0.0002779850 -166.71586 58.000 0.080556 843.593 274.773 0.00102497258 0.00720386717 0.0000404544 0.0000926250 6134256.549 6133283.198 6133283.688 162.26339 -700.81655 3.52176 0.0002770794 -172.26354 59.000 0.081945 844.248 274.987 0.00100822651 0.00720407388 0.0000397161 0.0000924478 6150970.683 6150005.121 6150004.690 164.29349 -710.37441 4.12241 0.0002761639 -177.88710 60.000 0.083334 844.922 275.207 0.00099154947 0.00720367881 0.0000389810 0.0000922577 6168222.780 6167265.183 6167264.289 166.28219 -719.80696 4.73636 0.0002752387 -183.58566 61.001 0.084723 845.616 275.433 0.00097494518 0.00720266942 0.0000382493 0.0000920548 6186022.222 6185074.195 6185071.410 168.22835 -729.11029 5.35945 0.0002743041 -189.35831 62.001 0.086112 846.330 275.666 0.00095841649 0.00720104068 0.0000375213 0.0000918391 6204371.108 6203433.819 6203428.239 170.13122 -738.28206 5.99169 0.0002733604 -195.20413 63.001 0.087501 847.064 275.905 0.00094196626 0.00719878832 0.0000367972 0.0000916108 6223270.881 6222345.449 6222336.219 171.99009 -747.32004 6.63334 0.0002724080 -201.12219 64.000 0.088889 847.817 276.150 0.00092560913 0.00719591034 0.0000360777 0.0000913700 6242708.768 6241796.274 6241782.573 173.80296 -756.21560 7.28423 0.0002714477 -207.10720 65.000 0.090278 848.591 276.403 0.00090932448 0.00719239823 0.0000353620 0.0000911166 6262714.202 6261815.728 6261796.746 175.57173 -764.97927 7.94561 0.0002704786 -213.16682 66.000 0.091667 849.384 276.661 0.00089312711 0.00718824944 0.0000346508 0.0000908507 6283274.789 6282391.401 6282366.343 177.29439 -773.60226 8.61732 0.0002695015 -219.29577 67.000 0.093056 850.197 276.926 0.00087702007 0.00718345955 0.0000339444 0.0000905724 6304391.928 6303524.684 6303492.762 178.97025 -782.08219 9.29972 0.0002685167 -225.49306 68.000 0.094445 851.029 277.197 0.00086100648 0.00717802407 0.0000332429 0.0000902818 6326067.002 6325216.958 6325177.388 180.59861 -790.41667 9.99314 0.0002675247 -231.75766 69.000 0.095834 851.880 277.475 0.00084508949 0.00717193850 0.0000325466 0.0000899791 6348301.369 6347469.580 6347421.581 182.17881 -798.60323 10.69795 0.0002665257 -238.08852 70.001 0.097223 852.751 277.759 0.00082927233 0.00716519829 0.0000318557 0.0000896642 6371096.363 6370283.886 6370226.676 183.71017 -806.63941 11.41453 0.0002655199 -244.48459 71.001 0.098612 853.641 278.049 0.00081355828 0.00715779888 0.0000311704 0.0000893373 6394453.286 6393661.179 6393593.974 185.19202 -814.52268 12.14328 0.0002645077 -250.94477 72.001 0.100001 854.549 278.345 0.00079795069 0.00714973566 0.0000304909 0.0000889985 6418373.403 6417602.728 6417524.742 186.62372 -822.25048 12.88460 0.0002634894 -257.46797 73.000 0.101389 855.477 278.647 0.00078246407 0.00714101054 0.0000298179 0.0000886482 6442840.109 6442091.914 6442002.368 188.00364 -829.81482 13.63838 0.0002624661 -264.04829 74.000 0.102778 856.423 278.956 0.00076707959 0.00713160632 0.0000291506 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0.00611154289 0.0000840457 0.0000776156 6124403.050 6122618.470 6123496.619 360.56820 82.37086 133.47586 0.0003056613 247.07666 355.000 0.493056 842.579 270.841 0.00211080322 0.00614355313 0.0000835628 0.0000782015 6108401.695 6106630.581 6107486.866 363.70347 68.59160 132.89951 0.0003057642 247.70516 356.000 0.494445 841.971 270.760 0.00209454732 0.00617511459 0.0000830696 0.0000787788 6092936.202 6091178.591 6092013.218 366.84246 54.83012 132.34246 0.0003058485 248.21816 357.000 0.495834 841.382 270.682 0.00207821261 0.00620622646 0.0000825665 0.0000793475 6078004.671 6076260.596 6077073.774 369.98459 41.08808 131.80464 0.0003059140 248.61613 358.001 0.497223 840.813 270.610 0.00206180174 0.00623688794 0.0000820536 0.0000799073 6063605.235 6061874.725 6062666.664 373.12925 27.36709 131.28598 0.0003059608 248.89953 359.001 0.498612 840.265 270.542 0.00204531732 0.00626709823 0.0000815309 0.0000804580 6049736.062 6048019.142 6048790.057 376.27586 13.66875 130.78642 0.0003059889 249.06885 360.001 0.500001 839.736 270.478 0.00202876193 0.00629685652 0.0000809987 0.0000809996 6036395.359 6034692.053 6035442.158 379.42381 -0.00534 130.30590 0.0003059983 249.12457 Engine speed (Hz) = 2.0000000000 Output power (W) = 498.2491388702 Heat into heater (W) = 758.8476130039 Heat to regenerator (W) = -0.0106884019 Heat removal from cooler (W) = 260.6118005111 Approximate Pumping loss (W) = -0.9530340677 Thermal efficiency (%) = 65.6586553521 The average engine pressure (Pa) = 8435207.6946238168 The exp space work per cycle (J) = 379.4200892783 The comp space work per cycle (J) = -130.2955198432 The net work per cycle (J) = 249.1245694352 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -903.3526292826 The expansion work for Vmin-to-Vmax (J) = 1152.4771987177 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 839.667 270.511 0.00202942873 0.00629573564 0.0000809987 0.0000809996 6037879.762 6034344.065 6035901.227 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000927 839.159 270.452 0.00201280073 0.00632505062 0.0000804572 0.0000815317 6025067.922 6021560.488 6023074.921 3.15071 -13.65204 -0.46175 0.0003059889 -0.05834 2.001 0.001853 838.671 270.397 0.00199610667 0.00635391208 0.0000799064 0.0000820544 6012780.874 6009301.740 6010773.898 6.30157 -27.27682 -0.90458 0.0003059608 -0.22930 3.001 0.002779 838.203 270.348 0.00197934905 0.00638231917 0.0000793466 0.0000825673 6001016.956 5997566.157 5998996.496 9.45195 -40.87282 -1.32857 0.0003059139 -0.51239 4.001 0.003705 837.755 270.303 0.00196253030 0.00641027106 0.0000787779 0.0000830704 5989774.554 5986352.118 5987741.097 12.60125 -54.43852 -1.73376 0.0003058483 -0.90711 5.000 0.004630 837.327 270.262 0.00194567109 0.00643773742 0.0000782012 0.0000835630 5979063.403 5975669.322 5977017.448 15.74542 -67.95783 -2.11982 0.0003057642 -1.41234 6.000 0.005556 836.920 270.226 0.00192873736 0.00646477678 0.0000776153 0.0000840459 5968858.830 5965493.152 5966800.846 18.89066 -81.45850 -2.48761 0.0003056613 -2.02866 7.000 0.006482 836.533 270.195 0.00191174966 0.00649135826 0.0000770211 0.0000845186 5959171.230 5955833.971 5957101.700 22.03292 -94.92442 -2.83678 0.0003055397 -2.75508 8.000 0.007408 836.165 270.168 0.00189471031 0.00651748096 0.0000764188 0.0000849808 5949999.195 5946690.362 5947918.599 25.17156 -108.35413 -3.16737 0.0003053995 -3.59107 9.000 0.008334 835.818 270.146 0.00187762164 0.00654314388 0.0000758084 0.0000854324 5941341.367 5938060.967 5939250.185 28.30595 -121.74618 -3.47944 0.0003052408 -4.53612 10.000 0.009260 835.492 270.129 0.00186048591 0.00656834605 0.0000751903 0.0000858733 5933196.449 5929944.481 5931095.157 31.43545 -135.09913 -3.77302 0.0003050636 -5.58969 11.001 0.010186 835.185 270.116 0.00184330541 0.00659308642 0.0000745645 0.0000863034 5925563.198 5922339.659 5923452.272 34.55939 -148.41155 -4.04816 0.0003048679 -6.75126 12.001 0.011112 834.899 270.108 0.00182608236 0.00661736392 0.0000739314 0.0000867224 5918440.430 5915245.313 5916320.345 37.67713 -161.68199 -4.30491 0.0003046538 -8.02029 13.001 0.012038 834.633 270.104 0.00180881899 0.00664117745 0.0000732910 0.0000871304 5911827.022 5908660.313 5909698.251 40.78802 -174.90905 -4.54331 0.0003044214 -9.39624 14.001 0.012964 834.387 270.106 0.00179151751 0.00666452585 0.0000726436 0.0000875271 5905721.909 5902583.594 5903584.925 43.89140 -188.09130 -4.76339 0.0003041707 -10.87857 15.001 0.013890 834.162 270.111 0.00177418010 0.00668740792 0.0000719894 0.0000879124 5900124.090 5897014.148 5897979.364 46.98659 -201.22732 -4.96519 0.0003039019 -12.46673 16.001 0.014816 833.956 270.122 0.00175680895 0.00670982242 0.0000713286 0.0000882863 5895032.624 5891951.031 5892880.627 50.07293 -214.31570 -5.14874 0.0003036149 -14.16018 17.001 0.015742 833.771 270.137 0.00173940621 0.00673176806 0.0000706613 0.0000886486 5890446.635 5887393.362 5888287.837 53.14976 -227.35502 -5.31408 0.0003033099 -15.95836 18.001 0.016668 833.607 270.157 0.00172197404 0.00675324349 0.0000699878 0.0000889992 5886365.310 5883340.323 5884200.179 56.21640 -240.34387 -5.46124 0.0003029870 -17.86070 19.000 0.017593 833.462 270.181 0.00170453344 0.00677422488 0.0000693091 0.0000893376 5882791.491 5879794.723 5880620.503 59.26888 -253.26688 -5.59011 0.0003026466 -19.86444 20.000 0.018519 833.338 270.210 0.00168704883 0.00679475615 0.0000686238 0.0000896645 5879716.767 5876748.206 5877540.385 62.31311 -266.15059 -5.70099 0.0003022882 -21.97333 21.000 0.019445 833.234 270.244 0.00166954118 0.00681481285 0.0000679328 0.0000899793 5877144.655 5874204.255 5874963.348 65.34511 -278.97956 -5.79376 0.0003019122 -24.18469 22.000 0.020371 833.151 270.282 0.00165201259 0.00683439341 0.0000672365 0.0000902821 5875074.602 5872162.311 5872888.839 68.36419 -291.75237 -5.86845 0.0003015186 -26.49795 23.000 0.021297 833.087 270.325 0.00163446518 0.00685349620 0.0000665351 0.0000905726 5873506.121 5870621.882 5871316.371 71.36966 -304.46759 -5.92505 0.0003011077 -28.91253 24.000 0.022223 833.044 270.373 0.00161690106 0.00687211954 0.0000658286 0.0000908509 5872438.791 5869582.541 5870245.524 74.36082 -317.12378 -5.96361 0.0003006795 -31.42785 25.001 0.023149 833.021 270.426 0.00159932233 0.00689026167 0.0000651174 0.0000911168 5871872.258 5869043.929 5869675.943 77.33697 -329.71948 -5.98411 0.0003002342 -34.04331 26.001 0.024075 833.019 270.483 0.00158173109 0.00690792076 0.0000644017 0.0000913702 5871806.233 5869005.753 5869607.343 80.29742 -342.25325 -5.98658 0.0002997719 -36.75833 27.001 0.025001 833.036 270.545 0.00156412944 0.00692509494 0.0000636817 0.0000916111 5872240.497 5869467.784 5870039.503 83.24146 -354.72361 -5.97102 0.0002992928 -39.57232 28.001 0.025927 833.074 270.612 0.00154651950 0.00694178224 0.0000629576 0.0000918394 5873174.895 5870429.864 5870972.271 86.16838 -367.12909 -5.93744 0.0002987970 -42.48465 29.001 0.026853 833.132 270.683 0.00152890337 0.00695798066 0.0000622296 0.0000920551 5874609.340 5871891.896 5872405.560 89.07748 -379.46820 -5.88584 0.0002982846 -45.49474 30.001 0.027779 833.210 270.759 0.00151128316 0.00697368808 0.0000614979 0.0000922580 5876543.812 5873853.854 5874339.352 91.96803 -391.73944 -5.81623 0.0002977559 -48.60196 31.001 0.028705 833.308 270.840 0.00149366099 0.00698890236 0.0000607628 0.0000924481 5878978.357 5876315.776 5876773.695 94.83933 -403.94129 -5.72859 0.0002972109 -51.80570 32.000 0.029630 833.427 270.925 0.00147605801 0.00700360561 0.0000600253 0.0000926251 5881909.648 5879274.297 5879705.263 97.68758 -416.05916 -5.62305 0.0002966504 -55.10172 33.000 0.030556 833.565 271.015 0.00145843829 0.00701782733 0.0000592840 0.0000927894 5885344.203 5882735.983 5883140.575 100.51823 -428.11772 -5.49938 0.0002960735 -58.49651 34.000 0.031482 833.724 271.110 0.00144082302 0.00703154896 0.0000585400 0.0000929408 5889279.365 5886698.141 5887076.979 103.32746 -440.10225 -5.35767 0.0002954808 -61.98593 35.000 0.032408 833.903 271.209 0.00142321433 0.00704476805 0.0000577935 0.0000930792 5893715.446 5891161.070 5891514.786 106.11453 -452.01120 -5.19791 0.0002948726 -65.56934 36.000 0.033334 834.102 271.314 0.00140561441 0.00705748204 0.0000570446 0.0000932045 5898652.820 5896125.134 5896454.375 108.87873 -463.84295 -5.02009 0.0002942491 -69.24608 37.000 0.034260 834.321 271.423 0.00138802542 0.00706968833 0.0000562937 0.0000933167 5904091.925 5901590.759 5901896.186 111.61932 -475.59589 -4.82418 0.0002936104 -73.01550 38.001 0.035186 834.560 271.537 0.00137044956 0.00708138422 0.0000555409 0.0000934158 5910033.266 5907558.437 5907840.727 114.33556 -487.26840 -4.61018 0.0002929567 -76.87693 39.001 0.036112 834.820 271.655 0.00135288905 0.00709256694 0.0000547865 0.0000935018 5916477.409 5914028.720 5914288.565 117.02672 -498.85881 -4.37806 0.0002922883 -80.82972 40.001 0.037038 835.099 271.778 0.00133534611 0.00710323362 0.0000540307 0.0000935745 5923424.983 5921002.222 5921240.333 119.69205 -510.36545 -4.12779 0.0002916052 -84.87316 41.001 0.037964 835.398 271.906 0.00131782299 0.00711338135 0.0000532738 0.0000936341 5930876.678 5928479.618 5928696.726 122.33082 -521.78662 -3.85936 0.0002909079 -89.00659 42.001 0.038890 835.718 272.039 0.00130032196 0.00712300709 0.0000525159 0.0000936804 5938833.248 5936461.643 5936658.498 124.94228 -533.12059 -3.57274 0.0002901964 -93.22931 43.001 0.039816 836.057 272.176 0.00128284532 0.00713210776 0.0000517574 0.0000937135 5947295.503 5944949.090 5945126.465 127.52569 -544.36563 -3.26789 0.0002894709 -97.54061 44.001 0.040742 836.416 272.319 0.00126539536 0.00714068017 0.0000509984 0.0000937334 5956264.317 5953942.811 5954101.503 130.08029 -555.51997 -2.94479 0.0002887318 -101.93978 45.001 0.041668 836.795 272.466 0.00124797443 0.00714872107 0.0000502391 0.0000937400 5965740.618 5963443.714 5963584.544 132.60535 -566.58180 -2.60340 0.0002879791 -106.42610 46.000 0.042593 837.193 272.617 0.00123060366 0.00715621929 0.0000494807 0.0000937334 5975714.337 5973441.678 5973565.515 135.09743 -577.53751 -2.24409 0.0002872141 -110.99385 47.000 0.043519 837.612 272.774 0.00121324787 0.00716318763 0.0000487217 0.0000937135 5986208.081 5983959.337 5984067.041 137.56116 -588.40894 -1.86603 0.0002864352 -115.65218 48.000 0.044445 838.051 272.935 0.00119592828 0.00716961418 0.0000479632 0.0000936804 5997212.440 5994987.227 5995079.711 139.99310 -599.18232 -1.46957 0.0002856435 -120.39544 49.000 0.045371 838.509 273.101 0.00117864733 0.00717549535 0.0000472053 0.0000936340 6008728.568 6006526.468 6006604.680 142.39247 -609.85575 -1.05468 0.0002848393 -125.22286 50.000 0.046297 838.987 273.272 0.00116140751 0.00718082747 0.0000464484 0.0000935744 6020757.668 6018578.230 6018643.157 144.75854 -620.42728 -0.62129 0.0002840228 -130.13368 51.000 0.047223 839.485 273.447 0.00114421132 0.00718560677 0.0000456926 0.0000935017 6033300.998 6031143.731 6031196.402 147.09053 -630.89495 -0.16937 0.0002831943 -135.12711 52.001 0.048149 840.002 273.628 0.00112706132 0.00718982942 0.0000449382 0.0000934157 6046359.864 6044224.231 6044265.726 149.38771 -641.25677 0.30112 0.0002823539 -140.20237 53.001 0.049075 840.539 273.813 0.00110996007 0.00719349149 0.0000441855 0.0000933166 6059935.621 6057821.037 6057852.489 151.64931 -651.51070 0.79025 0.0002815020 -145.35863 54.001 0.050001 841.096 274.003 0.00109291020 0.00719658898 0.0000434345 0.0000932044 6074029.672 6071935.493 6071958.098 153.87458 -661.65469 1.29805 0.0002806389 -150.59508 55.001 0.050927 841.672 274.197 0.00107591436 0.00719911779 0.0000426857 0.0000930790 6088643.470 6086568.978 6086584.009 156.06276 -671.68664 1.82458 0.0002797647 -155.91089 56.001 0.051853 842.268 274.397 0.00105897524 0.00720107374 0.0000419391 0.0000929406 6103778.513 6101722.905 6101731.724 158.21310 -681.60441 2.36990 0.0002788798 -161.30521 57.001 0.052779 842.883 274.601 0.00104209557 0.00720245256 0.0000411951 0.0000927893 6119436.350 6117398.706 6117402.797 160.32485 -691.40585 2.93406 0.0002779844 -166.77718 58.001 0.053705 843.518 274.810 0.00102527814 0.00720324988 0.0000404538 0.0000926249 6135618.591 6133597.816 6133598.842 162.39725 -701.08874 3.51711 0.0002770787 -172.32593 59.000 0.054630 844.171 275.024 0.00100854395 0.00720345987 0.0000397163 0.0000924478 6152309.656 6150304.412 6150304.520 164.42730 -710.64031 4.11784 0.0002761642 -177.94445 60.000 0.055556 844.845 275.244 0.00099186072 0.00720306861 0.0000389813 0.0000922577 6169556.472 6167568.362 6167566.523 166.41817 -720.07693 4.73218 0.0002752390 -183.64400 61.000 0.056482 845.539 275.470 0.00097525023 0.00720206284 0.0000382496 0.0000920548 6187350.257 6185381.988 6185376.240 168.36650 -729.38430 5.35547 0.0002743044 -189.41764 62.000 0.057408 846.253 275.703 0.00095871533 0.00720043818 0.0000375216 0.0000918392 6205692.770 6203746.764 6203735.231 170.27155 -738.56019 5.98792 0.0002733608 -195.26444 63.000 0.058334 846.986 275.942 0.00094225886 0.00719819033 0.0000367975 0.0000916109 6224585.473 6222664.051 6222644.963 172.13261 -747.60236 6.62980 0.0002724083 -201.18348 64.000 0.059260 847.739 276.188 0.00092588373 0.00719531496 0.0000360774 0.0000913699 6244029.810 6242135.236 6242106.882 173.94897 -756.50855 7.28140 0.0002714474 -207.17380 65.001 0.060186 848.512 276.440 0.00090959288 0.00719180769 0.0000353617 0.0000911165 6264027.211 6262161.714 6262122.423 175.71994 -765.27644 7.94304 0.0002704782 -213.23443 66.001 0.061112 849.305 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848.872 271.811 0.00225379794 0.00583821123 0.0000875266 0.0000726444 6273340.387 6269416.708 6271616.963 335.42591 193.07162 139.02167 0.0003041710 237.38349 347.000 0.321297 848.086 271.689 0.00223837543 0.00587378755 0.0000871299 0.0000732918 6252986.768 6249090.098 6251241.821 338.51263 179.21037 138.28816 0.0003044217 238.95103 348.000 0.322223 847.320 271.571 0.00222284813 0.00590892251 0.0000867219 0.0000739321 6233184.783 6229315.266 6231418.825 341.60760 165.35258 137.57453 0.0003046541 240.39957 349.001 0.323149 846.573 271.458 0.00220721910 0.00594361508 0.0000863029 0.0000745653 6213932.378 6210090.147 6212145.919 344.71027 151.50016 136.88071 0.0003048681 241.72952 350.001 0.324075 845.846 271.349 0.00219149136 0.00597786429 0.0000858728 0.0000751910 6195227.506 6191412.687 6193421.057 347.82010 137.65495 136.20662 0.0003050638 242.94130 351.001 0.325001 845.139 271.244 0.00217566786 0.00601166917 0.0000854319 0.0000758091 6177068.131 6173280.840 6175242.203 350.93654 123.81879 135.55218 0.0003052410 244.03535 352.001 0.325927 844.451 271.144 0.00215975152 0.00604502881 0.0000849803 0.0000764195 6159452.235 6155692.578 6157607.336 354.05901 109.99344 134.91732 0.0003053997 245.01208 353.001 0.326853 843.783 271.049 0.00214374520 0.00607794233 0.0000845180 0.0000770218 6142377.817 6138645.892 6140514.453 357.18695 96.18069 134.30198 0.0003055399 245.87195 354.001 0.327779 843.135 270.958 0.00212765174 0.00611040887 0.0000840454 0.0000776160 6125842.895 6122138.793 6123961.574 360.31980 82.38225 133.70607 0.0003056614 246.61541 355.001 0.328705 842.507 270.872 0.00211147390 0.00614242757 0.0000835624 0.0000782019 6109845.517 6106169.321 6107946.742 363.45698 68.59982 133.12954 0.0003057643 247.24290 356.000 0.329630 841.899 270.790 0.00209523203 0.00617396376 0.0000830698 0.0000787786 6094400.164 6090751.920 6092484.456 366.59450 54.84994 132.57290 0.0003058484 247.75439 357.000 0.330556 841.311 270.713 0.00207889370 0.00620508482 0.0000825667 0.0000793473 6079471.547 6075851.353 6077539.388 369.73857 41.10452 132.03488 0.0003059140 248.15147 358.000 0.331482 840.743 270.641 0.00206247907 0.00623575559 0.0000820538 0.0000799071 6065074.790 6061482.708 6063126.679 372.88521 27.38006 131.51602 0.0003059608 248.43398 359.000 0.332408 840.195 270.573 0.00204599077 0.00626597528 0.0000815311 0.0000804578 6051208.065 6047644.152 6049244.500 376.03380 13.67818 131.01626 0.0003059889 248.60240 360.000 0.333334 839.666 270.509 0.00202943137 0.00629574306 0.0000809989 0.0000809994 6037869.584 6034333.890 6035891.060 379.18376 0.00044 130.53554 0.0003059983 248.65722 Engine speed (Hz) = 3.0000000000 Output power (W) = 745.9716452641 Heat into heater (W) = 1137.5512938177 Heat to regenerator (W) = 0.0013117362 Heat removal from cooler (W) = 391.6066059962 Approximate Pumping loss (W) = -2.9659199015 Thermal efficiency (%) = 65.5769677656 The average engine pressure (Pa) = 8435348.6179280728 The exp space work per cycle (J) = 379.1825678267 The comp space work per cycle (J) = -130.5253527386 The net work per cycle (J) = 248.6572150880 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -903.5839623538 The expansion work for Vmin-to-Vmax (J) = 1152.2411774418 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 839.732 270.530 0.00202991384 0.00629471673 0.0000809991 0.0000809992 6039762.518 6033825.617 6036440.897 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000695 839.224 270.471 0.00201327130 0.00632406394 0.0000804572 0.0000815317 6026942.672 6021053.192 6023596.701 3.15261 -13.66492 -0.46239 0.0003059889 -0.05959 2.000 0.001389 838.736 270.417 0.00199658657 0.00635291582 0.0000799068 0.0000820540 6014665.396 6008823.336 6011295.934 6.30085 -27.28303 -0.90522 0.0003059608 -0.23164 3.001 0.002084 838.268 270.368 0.00197981404 0.00638135467 0.0000793466 0.0000825673 6002893.652 5997099.139 5999501.489 9.45317 -40.89204 -1.32982 0.0003059139 -0.51615 4.000 0.002778 837.820 270.323 0.00196300443 0.00640929780 0.0000787784 0.0000830700 5991659.708 5985912.724 5988245.697 12.59988 -54.45129 -1.73503 0.0003058484 -0.91180 5.001 0.003473 837.392 270.282 0.00194611172 0.00643682487 0.0000782006 0.0000835635 5980929.629 5975230.284 5977494.554 15.74942 -67.99834 -2.12207 0.0003057641 -1.41922 6.000 0.004167 836.985 270.247 0.00192918690 0.00646385577 0.0000776151 0.0000840461 5970732.784 5965081.043 5967277.488 18.89209 -81.49273 -2.48988 0.0003056612 -2.03644 7.001 0.004862 836.598 270.216 0.00191218356 0.00649046748 0.0000770205 0.0000845191 5961038.328 5955434.285 5957563.593 22.03634 -94.97187 -2.83958 0.0003055396 -2.76473 8.001 0.005556 836.231 270.189 0.00189515297 0.00651658248 0.0000764185 0.0000849810 5951872.755 5946316.360 5948379.415 25.17246 -108.39550 -3.17021 0.0003053995 -3.60147 9.000 0.006250 835.884 270.167 0.00187807301 0.00654223843 0.0000758086 0.0000854323 5943220.396 5937711.660 5939709.257 28.30434 -121.78160 -3.48234 0.0003052409 -4.54710 10.001 0.006945 835.557 270.150 0.00186092124 0.00656747028 0.0000751900 0.0000858735 5935068.600 5929607.596 5931540.438 31.43585 -135.14792 -3.77642 0.0003050635 -5.60270 11.000 0.007639 835.251 270.137 0.00184374929 0.00659220439 0.0000745648 0.0000863032 5927439.588 5922026.244 5923895.227 34.55732 -148.45457 -4.05164 0.0003048680 -6.76471 12.001 0.008334 834.965 270.129 0.00182650992 0.00661651096 0.0000739312 0.0000867226 5920310.196 5914944.569 5916750.411 37.67709 -161.73846 -4.30886 0.0003046537 -8.03593 13.000 0.009028 834.699 270.126 0.00180925497 0.00664031893 0.0000732913 0.0000871302 5913699.820 5908381.825 5910125.429 40.78554 -174.95993 -4.54736 0.0003044215 -9.41217 14.001 0.009723 834.453 270.127 0.00179193692 0.00666369574 0.0000726434 0.0000875272 5907588.351 5902318.031 5904000.128 43.89096 -188.15567 -4.76787 0.0003041706 -10.89684 15.000 0.010417 834.227 270.133 0.00177460780 0.00668657292 0.0000719897 0.0000879123 5901992.379 5896769.635 5898391.135 46.98374 -201.28628 -4.96979 0.0003039020 -12.48515 16.001 0.011112 834.022 270.144 0.00175721985 0.00670901515 0.0000713283 0.0000882864 5896894.840 5891719.702 5893281.349 50.07215 -214.38818 -5.15374 0.0003036148 -14.18110 17.001 0.011806 833.837 270.159 0.00173982528 0.00673095654 0.0000706616 0.0000886485 5892309.532 5887181.886 5888684.601 53.14660 -227.42225 -5.31923 0.0003033100 -15.97926 18.000 0.012500 833.672 270.179 0.00172240122 0.00675242838 0.0000699886 0.0000889988 5888227.950 5883147.742 5884592.367 56.21089 -240.40596 -5.46655 0.0003029874 -17.88145 19.001 0.013195 833.528 270.204 0.00170492467 0.00677345917 0.0000693086 0.0000893378 5884644.554 5879611.794 5880999.094 59.26873 -253.35649 -5.59590 0.0003026464 -19.89007 20.000 0.013889 833.404 270.233 0.00168744804 0.00679398694 0.0000686238 0.0000896645 5881568.980 5876583.529 5877914.444 62.31064 -266.23516 -5.70695 0.0003022882 -21.99876 21.001 0.014584 833.299 270.267 0.00166992310 0.00681406933 0.0000679323 0.0000899795 5878991.746 5874053.598 5875328.911 65.34470 -279.07764 -5.80003 0.0003019119 -24.21305 22.000 0.015278 833.216 270.306 0.00165240239 0.00683364698 0.0000672365 0.0000902821 5876919.721 5872028.723 5873249.388 68.36148 -291.84555 -5.87489 0.0003015186 -26.52597 23.001 0.015973 833.152 270.349 0.00163483754 0.00685277466 0.0000665346 0.0000905728 5875346.451 5870502.577 5871669.397 71.36900 -304.57426 -5.93177 0.0003011074 -28.94362 24.000 0.016667 833.109 270.397 0.00161728120 0.00687139563 0.0000658286 0.0000908509 5874276.045 5869479.125 5870593.070 74.35790 -317.22568 -5.97052 0.0003006795 -31.45845 25.001 0.017362 833.086 270.450 0.00159968489 0.00688956180 0.0000651169 0.0000911170 5873705.068 5868955.059 5870016.955 77.33610 -329.83482 -5.99126 0.0003002339 -34.07714 26.001 0.018056 833.083 270.507 0.00158210135 0.00690721905 0.0000644017 0.0000913702 5873634.880 5868931.592 5869942.428 80.29433 -342.36394 -5.99394 0.0002997719 -36.79153 27.000 0.018750 833.100 270.569 0.00156450737 0.00692439200 0.0000636822 0.0000916110 5874064.083 5869407.384 5870368.084 83.23617 -354.82976 -5.97862 0.0002992932 -39.60475 28.001 0.019445 833.138 270.636 0.00154687970 0.00694110236 0.0000629576 0.0000918394 5874994.224 5870384.038 5871295.470 86.16513 -367.24863 -5.94524 0.0002987970 -42.52044 29.000 0.020139 833.196 270.707 0.00152927116 0.00695730003 0.0000622301 0.0000920549 5876422.544 5871858.648 5872721.836 89.07207 -379.58331 -5.89389 0.0002982850 -45.52962 30.001 0.020834 833.274 270.784 0.00151163313 0.00697302958 0.0000614979 0.0000922580 5878353.142 5873835.435 5874651.278 91.96464 -391.86785 -5.82443 0.0002977559 -48.64034 31.000 0.021528 833.372 270.864 0.00149401848 0.00698824357 0.0000607633 0.0000924479 5880780.511 5876308.746 5877078.297 94.83382 -404.06538 -5.73705 0.0002972113 -51.84304 32.001 0.022223 833.490 270.950 0.00147637859 0.00700298360 0.0000600245 0.0000926253 5883711.765 5879285.812 5880010.005 97.68714 -416.20951 -5.63151 0.0002966498 -55.14631 33.000 0.022917 833.628 271.040 0.00145876634 0.00701720493 0.0000592838 0.0000927895 5887138.650 5882758.231 5883438.153 100.51567 -428.26377 -5.50810 0.0002960733 -58.54002 34.001 0.023612 833.787 271.135 0.00144113314 0.00703094616 0.0000585392 0.0000929410 5891071.289 5886736.243 5887372.871 103.32685 -440.26130 -5.36645 0.0002954802 -62.03331 35.001 0.024306 833.965 271.235 0.00142353188 0.00704416526 0.0000577932 0.0000930792 5895498.681 5891208.697 5891803.153 106.11185 -452.16602 -5.20696 0.0002948724 -65.61550 36.000 0.025000 834.164 271.339 0.00140593935 0.00705687983 0.0000570449 0.0000932044 5900426.500 5896181.315 5896734.684 108.87400 -463.99365 -5.02942 0.0002942493 -69.29088 37.001 0.025695 834.383 271.449 0.00138833240 0.00706910447 0.0000562934 0.0000933167 5905863.374 5901662.768 5902176.100 111.61650 -475.75943 -4.83353 0.0002936101 -73.06431 38.000 0.026389 834.622 271.562 0.00137076390 0.00708080130 0.0000555412 0.0000934158 5911794.164 5907637.767 5908112.254 114.33073 -487.42789 -4.61983 0.0002929569 -76.92425 39.001 0.027084 834.881 271.681 0.00135318544 0.00709200124 0.0000547862 0.0000935018 5918236.533 5914124.080 5914560.829 117.02377 -499.03097 -4.38768 0.0002922880 -80.88116 40.000 0.027778 835.160 271.805 0.00133564983 0.00710266919 0.0000540310 0.0000935745 5925172.574 5921103.649 5921503.908 119.68712 -510.53363 -4.13773 0.0002916055 -84.92298 41.001 0.028473 835.459 271.933 0.00131810878 0.00711283296 0.0000532735 0.0000936341 5932622.974 5928597.257 5928962.199 122.32773 -521.96729 -3.86923 0.0002909076 -89.06067 42.000 0.029167 835.777 272.065 0.00130061506 0.00712246028 0.0000525162 0.0000936804 5940567.048 5936584.067 5936915.003 124.93724 -533.29734 -3.58293 0.0002901966 -93.28163 43.001 0.029862 836.117 272.203 0.00128312053 0.00713157577 0.0000517571 0.0000937135 5949028.508 5945087.883 5945386.062 127.52244 -544.55467 -3.27797 0.0002894707 -97.59731 44.001 0.030556 836.475 272.345 0.00126567785 0.00714015001 0.0000509987 0.0000937334 5957983.881 5954085.077 5954351.882 130.07513 -555.70512 -2.95520 0.0002887320 -101.99458 45.000 0.031250 836.853 272.492 0.00124826418 0.00714819325 0.0000502400 0.0000937400 5967445.913 5963588.416 5963825.226 132.59831 -566.76316 -2.61416 0.0002879800 -106.47888 46.001 0.031945 837.252 272.644 0.00123085684 0.00715571256 0.0000494802 0.0000937334 5977430.326 5973613.643 5973821.842 135.09480 -577.74269 -2.25429 0.0002872135 -111.05612 47.000 0.032639 837.670 272.801 0.00121350833 0.00716268287 0.0000487217 0.0000937135 5987909.439 5984132.914 5984314.020 137.55666 -588.61026 -1.87657 0.0002864352 -115.71239 48.001 0.033334 838.109 272.962 0.00119617107 0.00716912074 0.0000479626 0.0000936803 5998914.557 5995177.602 5995333.109 139.99023 -599.39532 -1.47988 0.0002856430 -120.46036 49.000 0.034028 838.566 273.128 0.00117889740 0.00717500404 0.0000472053 0.0000936340 6010415.171 6006717.030 6006848.565 142.38776 -610.06490 -1.06532 0.0002848393 -125.28559 50.001 0.034723 839.044 273.299 0.00116164003 0.00718034604 0.0000464478 0.0000935744 6022445.638 6018785.610 6018894.797 144.75540 -620.64784 -0.63166 0.0002840222 -130.20123 51.000 0.035417 839.542 273.475 0.00114445112 0.00718512759 0.0000456926 0.0000935017 6034972.604 6031349.810 6031438.411 147.08558 -631.11169 -0.18009 0.0002831943 -135.19235 52.001 0.036112 840.059 273.655 0.00112728370 0.00718935861 0.0000449377 0.0000934156 6048033.490 6044447.083 6044516.881 149.38426 -641.48461 0.29074 0.0002823533 -140.27253 53.001 0.036806 840.595 273.841 0.00111018974 0.00719302299 0.0000441855 0.0000933166 6061592.076 6058041.022 6058093.947 151.64407 -651.73473 0.77951 0.0002815020 -145.42635 54.000 0.037500 841.151 274.030 0.00109314713 0.00719612319 0.0000434351 0.0000932044 6075668.201 6072151.418 6072189.476 153.86759 -661.87497 1.28695 0.0002806395 -150.66023 55.001 0.038195 841.727 274.225 0.00107613408 0.00719865834 0.0000426857 0.0000930790 6090284.736 6086801.070 6086826.378 156.05718 -671.91762 1.81388 0.0002797647 -155.98107 56.000 0.038889 842.322 274.425 0.00105920223 0.00720061694 0.0000419397 0.0000929408 6105401.139 6101949.195 6101964.059 158.20580 -681.83163 2.35883 0.0002788804 -161.37271 57.001 0.039584 842.938 274.629 0.00104230554 0.00720200032 0.0000411951 0.0000927893 6121062.556 6117640.832 6117647.733 160.31887 -691.64341 2.92345 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146.84110 0.0003011080 217.29962 338.001 0.234723 855.910 272.966 0.00237348761 0.00553671436 0.0000902816 0.0000672376 6457993.167 6451055.302 6455420.777 310.82703 303.85429 145.92448 0.0003015192 219.95566 339.000 0.235417 854.971 272.808 0.00235903177 0.00557575552 0.0000899791 0.0000679334 6433180.831 6426285.519 6430565.466 313.82620 290.04772 145.02969 0.0003019125 222.48571 340.001 0.236112 854.050 272.655 0.00234442352 0.00561442202 0.0000896640 0.0000686248 6408900.560 6402048.271 6406242.997 316.84206 276.20799 144.15408 0.0003022888 224.89737 341.001 0.236806 853.150 272.506 0.00232970843 0.00565260100 0.0000893373 0.0000693096 6385220.271 6378411.328 6382521.417 319.86542 262.37716 143.30010 0.0003026469 227.18403 342.001 0.237501 852.267 272.361 0.00231484755 0.00569040101 0.0000889983 0.0000699896 6362069.738 6355304.566 6359330.385 322.90453 248.51756 142.46523 0.0003029879 229.35263 343.001 0.238195 851.405 272.221 0.00229988702 0.00572771183 0.0000886479 0.0000706626 6339513.577 6332792.454 6336734.635 325.95013 234.67120 141.65178 0.0003033105 231.39728 344.000 0.238889 850.562 272.085 0.00228480890 0.00576458683 0.0000882859 0.0000713294 6317516.054 6310839.298 6314698.378 329.00608 220.82024 140.85848 0.0003036152 233.32155 345.001 0.239584 849.737 271.954 0.00226959448 0.00580107695 0.0000879117 0.0000719907 6296044.640 6289412.616 6293189.032 332.07629 206.94674 140.08414 0.0003039024 235.12832 346.000 0.240278 848.932 271.828 0.00225429077 0.00583707596 0.0000875266 0.0000726444 6275159.078 6268572.003 6272266.451 335.15141 193.09265 139.33093 0.0003041710 236.81279 347.001 0.240973 848.146 271.705 0.00223885683 0.00587268648 0.0000871296 0.0000732922 6254797.127 6248255.328 6251868.287 338.23976 179.22001 138.59659 0.0003044219 238.38019 348.000 0.241667 847.381 271.588 0.00222334021 0.00590780493 0.0000867219 0.0000739321 6235015.333 6228518.989 6232051.190 341.33193 165.37066 137.88318 0.0003046541 239.82643 349.001 0.242362 846.634 271.474 0.00220769924 0.00594253149 0.0000863026 0.0000745657 6215754.637 6209304.041 6212755.999 344.43628 151.50658 137.18855 0.0003048683 241.15607 350.001 0.243056 845.908 271.366 0.00219198196 0.00597676522 0.0000858728 0.0000751910 6197068.428 6190663.727 6194036.202 347.54333 137.66954 136.51464 0.0003050638 242.36572 351.001 0.243751 845.200 271.261 0.00217614603 0.00601060383 0.0000854316 0.0000758096 6178900.825 6172542.282 6175835.819 350.66148 123.82148 135.85942 0.0003052411 243.45928 352.001 0.244445 844.514 271.162 0.00216023994 0.00604394901 0.0000849803 0.0000764195 6161302.097 6154989.828 6158205.212 353.78120 110.00404 135.22472 0.0003053997 244.43404 353.000 0.245139 843.847 271.067 0.00214424384 0.00607684887 0.0000845184 0.0000770214 6144243.722 6137977.894 6141115.809 356.90640 96.19905 134.60950 0.0003055398 245.29211 354.001 0.245834 843.198 270.976 0.00212813731 0.00610934900 0.0000840454 0.0000776160 6127700.314 6121481.149 6124542.179 360.04103 82.38837 134.01285 0.0003056614 246.03490 355.000 0.246528 842.571 270.890 0.00211196948 0.00614135501 0.0000835628 0.0000782015 6111717.535 6105545.108 6108530.067 363.17549 68.61345 133.43642 0.0003057642 246.66075 356.001 0.247223 841.963 270.809 0.00209569649 0.00617295830 0.0000830693 0.0000787792 6096247.401 6090121.909 6093031.404 366.31822 54.83627 132.87846 0.0003058485 247.17191 357.000 0.247917 841.375 270.732 0.00207936788 0.00620406710 0.0000825665 0.0000793475 6081332.544 6075254.038 6078088.899 369.45960 41.09813 132.34053 0.0003059140 247.56738 358.001 0.248612 840.806 270.659 0.00206293924 0.00623477025 0.0000820532 0.0000799077 6066928.122 6060896.777 6063657.629 372.60809 27.36107 131.82101 0.0003059609 247.84876 359.001 0.249306 840.259 270.592 0.00204646046 0.00626497857 0.0000815309 0.0000804580 6053073.768 6047089.612 6049777.300 375.75403 13.66623 131.32132 0.0003059889 248.01574 360.001 0.250001 839.730 270.528 0.00202988665 0.00629477831 0.0000809983 0.0000809999 6039727.771 6033790.959 6036406.124 378.90588 -0.02428 130.83995 0.0003059983 248.06927 Engine speed (Hz) = 4.0000000000 Output power (W) = 992.2770456234 Heat into heater (W) = 1515.6235360825 Heat to regenerator (W) = -0.0971032343 Heat removal from cooler (W) = 523.3598159173 Approximate Pumping loss (W) = -6.6370920749 Thermal efficiency (%) = 65.4698889269 The average engine pressure (Pa) = 8435596.3943250608 The exp space work per cycle (J) = 378.8924455586 The comp space work per cycle (J) = -130.8231841527 The net work per cycle (J) = 248.0692614059 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -903.8727745591 The expansion work for Vmin-to-Vmax (J) = 1151.9420359649 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 839.857 270.547 0.00203037645 0.00629362437 0.0000809991 0.0000809992 6042042.265 6033166.485 6037077.559 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000556 839.349 270.489 0.00201373160 0.00632298458 0.0000804572 0.0000815317 6029223.745 6020418.742 6024222.558 3.15127 -13.66809 -0.46278 0.0003059889 -0.06113 2.002 0.001112 838.861 270.435 0.00199702031 0.00635189081 0.0000799060 0.0000820547 6016930.123 6008196.002 6011893.692 6.30271 -27.30909 -0.90662 0.0003059607 -0.23505 3.001 0.001667 838.394 270.386 0.00198027528 0.00638029146 0.0000793468 0.0000825671 6005180.448 5996517.175 6000110.067 9.44805 -40.89699 -1.33083 0.0003059139 -0.52065 4.001 0.002223 837.946 270.341 0.00196343863 0.00640828801 0.0000787777 0.0000830706 5993930.776 5985338.558 5988827.611 12.59799 -54.47926 -1.73700 0.0003058483 -0.91846 5.000 0.002778 837.519 270.301 0.00194657335 0.00643577886 0.0000782010 0.0000835631 5983220.023 5974698.799 5978085.353 15.74058 -68.00553 -2.12372 0.0003057641 -1.42654 6.001 0.003334 837.111 270.266 0.00192962104 0.00646286218 0.0000776147 0.0000840464 5973008.087 5964558.040 5967843.073 18.88652 -81.52305 -2.49244 0.0003056611 -2.04620 7.000 0.003889 836.724 270.235 0.00191264506 0.00648943963 0.0000770211 0.0000845186 5963330.253 5954951.298 5958136.161 22.02385 -94.98172 -2.84189 0.0003055397 -2.77471 8.001 0.004445 836.357 270.209 0.00189558657 0.00651560603 0.0000764183 0.0000849811 5954150.245 5945842.543 5948928.233 25.16325 -108.42858 -3.17338 0.0003053994 -3.61417 9.000 0.005000 836.011 270.187 0.00187850924 0.00654126628 0.0000758086 0.0000854323 5945499.744 5937263.188 5940251.065 28.29277 -121.81379 -3.48575 0.0003052409 -4.56105 10.001 0.005556 835.684 270.170 0.00186135382 0.00656651181 0.0000751900 0.0000858735 5937346.286 5929181.014 5932072.094 31.42307 -135.18415 -3.78020 0.0003050635 -5.61821 11.002 0.006112 835.377 270.158 0.00184415332 0.00659129495 0.0000745639 0.0000863038 5929704.686 5921610.698 5924406.182 34.54783 -148.51405 -4.05617 0.0003048677 -6.78354 12.001 0.006667 835.091 270.150 0.00182694105 0.00661557127 0.0000739314 0.0000867224 5922586.137 5914563.294 5917264.557 37.66080 -161.77820 -4.31327 0.0003046538 -8.05409 13.001 0.007223 834.825 270.147 0.00180965721 0.00663942713 0.0000732906 0.0000871307 5915963.870 5908012.279 5910620.366 40.77255 -175.02296 -4.55246 0.0003044212 -9.43392 14.000 0.007778 834.579 270.148 0.00179236618 0.00666277555 0.0000726439 0.0000875269 5909860.657 5901980.157 5904496.454 43.87121 -188.19926 -4.77292 0.0003041708 -10.91752 15.001 0.008334 834.353 270.155 0.00177500785 0.00668569945 0.0000719892 0.0000879126 5904253.509 5896444.187 5898869.759 46.96730 -201.35316 -4.97548 0.0003039018 -12.50968 16.000 0.008889 834.148 270.165 0.00175764685 0.00670811511 0.0000713291 0.0000882860 5899161.668 5891423.342 5893759.589 50.04901 -214.43593 -5.15945 0.0003036151 -14.20414 17.001 0.009445 833.963 270.181 0.00174022278 0.00673010200 0.0000706613 0.0000886486 5894565.916 5886898.651 5889146.660 53.12677 -227.49329 -5.32551 0.0003033099 -16.00644 18.000 0.010000 833.798 270.201 0.00172280047 0.00675157967 0.0000699886 0.0000889988 5890481.983 5882885.575 5885046.761 56.18883 -240.47684 -5.47311 0.0003029874 -17.90953 19.001 0.010556 833.653 270.226 0.00170531930 0.00677262410 0.0000693086 0.0000893378 5886894.411 5879368.903 5881444.376 59.24556 -253.43196 -5.60279 0.0003026464 -19.91973 20.002 0.011112 833.529 270.256 0.00168781275 0.00679319470 0.0000686228 0.0000896649 5883810.335 5876355.629 5878346.670 62.29074 -266.33377 -5.71431 0.0003022877 -22.03312 21.001 0.011667 833.425 270.290 0.00167031453 0.00681325422 0.0000679326 0.0000899794 5881233.335 5873849.194 5875757.245 65.31824 -279.15777 -5.80753 0.0003019120 -24.24505 22.001 0.012223 833.341 270.329 0.00165276370 0.00683287336 0.0000672358 0.0000902824 5879153.581 5871840.010 5873666.224 68.33829 -291.94876 -5.88281 0.0003015182 -26.56293 23.000 0.012778 833.277 270.372 0.00163522550 0.00685197990 0.0000665351 0.0000905726 5877578.074 5870334.811 5872080.652 71.33932 -304.65928 -5.93989 0.0003011077 -28.97783 24.001 0.013334 833.234 270.420 0.00161763885 0.00687064100 0.0000658281 0.0000908511 5876500.726 5869327.749 5870994.403 74.33146 -317.33368 -5.97899 0.0003006792 -31.49787 25.000 0.013889 833.210 270.473 0.00160006912 0.00688878775 0.0000651177 0.0000911167 5875925.066 5868822.086 5870411.042 77.30325 -329.92492 -5.99999 0.0003002344 -34.11340 26.001 0.014445 833.207 270.531 0.00158245512 0.00690648371 0.0000644015 0.0000913703 5875848.739 5868815.705 5870328.188 80.26469 -342.47691 -6.00298 0.0002997718 -36.83326 27.000 0.015000 833.224 270.593 0.00156486229 0.00692366333 0.0000636822 0.0000916110 5876271.810 5869308.401 5870745.930 83.20442 -354.94303 -5.98794 0.0002992932 -39.64706 28.001 0.015556 833.262 270.660 0.00154722937 0.00694038654 0.0000629576 0.0000918394 5877195.655 5870301.786 5871665.630 86.13234 -367.36672 -5.95483 0.0002987970 -42.56434 29.002 0.016112 833.319 270.732 0.00152959016 0.00695661991 0.0000622290 0.0000920552 5878619.885 5871795.327 5873086.911 89.04241 -379.72396 -5.90366 0.0002982843 -45.57951 30.001 0.016667 833.397 270.808 0.00151197853 0.00697233345 0.0000614982 0.0000922579 5880540.575 5873784.957 5875005.856 91.92874 -391.99119 -5.83458 0.0002977561 -48.68626 31.001 0.017223 833.495 270.889 0.00149433313 0.00698758159 0.0000607625 0.0000924481 5882964.703 5876277.880 5877429.437 94.80101 -404.21110 -5.74733 0.0002972107 -51.89519 32.000 0.017778 833.613 270.975 0.00147671956 0.00700230725 0.0000600250 0.0000926252 5885883.668 5879265.228 5880349.063 97.64818 -416.33820 -5.64223 0.0002966502 -55.19411 33.001 0.018334 833.751 271.065 0.00145907650 0.00701656114 0.0000592832 0.0000927896 5889308.176 5882757.931 5883775.446 100.47976 -428.41464 -5.51888 0.0002960728 -58.59429 34.000 0.018889 833.909 271.161 0.00144146956 0.00703028961 0.0000585400 0.0000929408 5893226.163 5886743.652 5887696.520 103.28487 -440.39541 -5.37772 0.0002954808 -62.08285 35.001 0.019445 834.087 271.261 0.00142383745 0.00704353962 0.0000577929 0.0000930793 5897652.065 5891237.048 5892126.738 106.07287 -452.32210 -5.21823 0.0002948722 -65.67174 36.000 0.020000 834.285 271.365 0.00140624577 0.00705626098 0.0000570449 0.0000932044 5902570.346 5896222.310 5897050.555 108.83301 -464.15022 -5.04097 0.0002942493 -69.34739 37.001 0.020556 834.504 271.475 0.00138863330 0.00706849687 0.0000562934 0.0000933167 5907999.177 5901717.821 5902486.168 111.57449 -475.92075 -4.84529 0.0002936101 -73.12238 38.002 0.021112 834.743 271.589 0.00137103397 0.00708022121 0.0000555401 0.0000934159 5913930.661 5907715.531 5908425.679 114.29160 -487.61068 -4.63147 0.0002929560 -76.98952 39.001 0.021667 835.001 271.707 0.00135348161 0.00709141149 0.0000547865 0.0000935018 5920353.352 5914203.840 5914857.629 116.97876 -499.19753 -4.39992 0.0002922883 -80.94092 40.001 0.022223 835.280 271.831 0.00133591520 0.00710210516 0.0000540302 0.0000935746 5927291.034 5921206.731 5921805.844 119.64492 -510.72138 -4.14978 0.0002916047 -84.99016 41.000 0.022778 835.578 271.959 0.00131840019 0.00711226080 0.0000532741 0.0000936341 5934719.451 5928699.674 5929246.039 122.27976 -522.13907 -3.88193 0.0002909081 -89.12198 42.001 0.023334 835.897 272.092 0.00130087573 0.00712191197 0.0000525157 0.0000936804 5942666.137 5936710.391 5937205.798 124.89201 -533.49002 -3.59538 0.0002901961 -93.35056 43.000 0.023889 836.235 272.230 0.00128340715 0.00713102083 0.0000517579 0.0000937135 5951103.330 5945210.842 5945657.319 127.47153 -544.73164 -3.29113 0.0002894714 -97.66001 44.001 0.024445 836.593 272.373 0.00126593383 0.00713961701 0.0000509984 0.0000937334 5960062.317 5954232.493 5954631.951 130.02688 -555.90266 -2.96804 0.0002887318 -102.06514 45.000 0.025000 836.971 272.520 0.00124852096 0.00714766630 0.0000502400 0.0000937400 5969511.815 5963743.777 5964098.363 132.54812 -566.96111 -2.62725 0.0002879800 -106.54938 46.001 0.025556 837.369 272.672 0.00123110816 0.00715519434 0.0000494802 0.0000937334 5979486.879 5973779.913 5974091.679 135.04356 -577.94499 -2.26749 0.0002872135 -111.12815 47.002 0.026112 837.788 272.829 0.00121372924 0.00716218268 0.0000487206 0.0000937135 5989971.999 5984325.213 5984596.372 137.50790 -588.83245 -1.88932 0.0002864341 -115.79272 48.001 0.026667 838.225 272.990 0.00119641778 0.00716861667 0.0000479629 0.0000936804 6000948.058 5995360.381 5995593.292 139.93603 -599.60227 -1.49343 0.0002856433 -120.53371 49.001 0.027223 838.683 273.156 0.00117911386 0.00717451589 0.0000472045 0.0000936340 6012455.779 6006926.273 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6709317.503 6698412.284 6706108.469 284.15624 427.23835 155.29986 0.0002972117 190.96860 330.001 0.183334 864.205 274.399 0.00248447006 0.00520753772 0.0000922575 0.0000614995 6679295.323 6668446.237 6676011.192 287.02647 413.64209 154.21636 0.0002977571 194.61164 331.000 0.183889 863.120 274.206 0.00247120832 0.00524994008 0.0000920548 0.0000622304 6649908.532 6639116.472 6646550.543 289.90780 400.03442 153.15578 0.0002982852 198.12400 332.001 0.184445 862.050 274.017 0.00245776043 0.00529200527 0.0000918390 0.0000629589 6621049.817 6610315.834 6617618.968 292.81024 386.36904 152.11424 0.0002987980 201.51853 333.000 0.185000 861.001 273.833 0.00244417880 0.00533357939 0.0000916109 0.0000636823 6592821.490 6582146.379 6589319.065 295.72293 372.69777 151.09545 0.0002992932 204.78324 334.001 0.185556 859.969 273.653 0.00243041845 0.00537480983 0.0000913698 0.0000644028 6565120.248 6554504.970 6561547.292 298.65595 358.97394 150.09566 0.0002997727 207.93011 335.002 0.186112 858.955 273.477 0.00241650763 0.00541561901 0.0000911162 0.0000651191 6537995.818 6527441.188 6534353.526 301.60363 345.22472 149.11669 0.0003002352 210.95340 336.001 0.186667 857.961 273.306 0.00240247561 0.00545593252 0.0000908506 0.0000658295 6511493.717 6501000.393 6507783.421 304.56021 331.47740 148.16016 0.0003006800 213.84828 337.001 0.187223 856.984 273.140 0.00238827557 0.00549589360 0.0000905721 0.0000665364 6485516.666 6475085.487 6481739.467 307.53588 317.68486 147.22258 0.0003011085 216.62544 338.000 0.187778 856.027 272.978 0.00237396232 0.00553535659 0.0000902818 0.0000672371 6460156.283 6449787.828 6456313.537 310.51948 303.89912 146.30725 0.0003015189 219.27520 339.001 0.188334 855.088 272.820 0.00235948791 0.00557446189 0.0000899788 0.0000679339 6435319.308 6425014.340 6431412.142 313.52130 290.07281 145.41080 0.0003019127 221.80740 340.000 0.188889 854.169 272.667 0.00234490798 0.00561306716 0.0000896643 0.0000686241 6411093.173 6400852.192 6407122.958 316.53008 276.25795 144.53639 0.0003022884 224.21326 341.001 0.189445 853.268 272.518 0.00233017352 0.00565130990 0.0000893372 0.0000693099 6387388.629 6377212.330 6383356.515 319.55615 262.40698 143.68079 0.0003026470 226.50177 342.000 0.190000 852.387 272.374 0.00231534097 0.00568905103 0.0000889988 0.0000699886 6364288.972 6354177.785 6360196.338 322.58816 248.57192 142.84703 0.0003029874 228.66504 343.001 0.190556 851.524 272.234 0.00230036030 0.00572642514 0.0000886479 0.0000706626 6341708.961 6331663.517 6337556.974 325.63652 234.70505 142.03201 0.0003033105 230.71123 344.002 0.191112 850.681 272.098 0.00228526146 0.00576336249 0.0000882853 0.0000713303 6319688.702 6309709.485 6315478.642 328.69528 220.83338 141.23719 0.0003036157 232.63669 345.001 0.191667 849.858 271.967 0.00227007520 0.00579979652 0.0000879119 0.0000719904 6298264.263 6288351.606 6293997.515 331.75839 206.98393 140.46387 0.0003039023 234.43865 346.001 0.192223 849.053 271.841 0.00225475004 0.00583585734 0.0000875262 0.0000726451 6277356.399 6267510.845 6273034.142 334.83637 193.10880 139.70919 0.0003041713 236.12400 347.000 0.192778 848.268 271.719 0.00223934426 0.00587141406 0.0000871299 0.0000732918 6257038.277 6247260.102 6252661.895 337.91761 179.25987 138.97579 0.0003044217 237.68706 348.001 0.193334 847.502 271.602 0.00222380548 0.00590659373 0.0000867217 0.0000739326 6237234.633 6227524.331 6232805.313 341.01269 165.38916 138.26095 0.0003046542 239.13388 349.000 0.193889 846.757 271.489 0.00220819265 0.00594126875 0.0000863030 0.0000745650 6218014.669 6208372.461 6213533.786 344.10993 151.54846 137.56718 0.0003048681 240.45965 350.001 0.194445 846.030 271.380 0.00219245253 0.00597556306 0.0000858727 0.0000751912 6199307.088 6189733.421 6194775.834 347.21995 137.68977 136.89189 0.0003050639 241.66957 351.000 0.195000 845.324 271.277 0.00217664470 0.00600935234 0.0000854322 0.0000758087 6181177.169 6171672.216 6176596.910 350.33099 123.86474 136.23745 0.0003052409 242.75972 352.001 0.195556 844.637 271.177 0.00216071512 0.00604275742 0.0000849803 0.0000764195 6163557.570 6154121.733 6158929.498 353.45372 110.02537 135.60142 0.0003053997 243.73446 353.002 0.196112 843.969 271.082 0.00214469506 0.00607571610 0.0000845177 0.0000770223 6146479.457 6137112.993 6141804.848 356.58196 96.19834 134.98493 0.0003055400 244.59216 354.001 0.196667 843.323 270.992 0.00212861641 0.00610816944 0.0000840455 0.0000776158 6129970.123 6120673.143 6125250.329 359.70951 82.41022 134.38897 0.0003056614 245.33204 355.001 0.197223 842.695 270.906 0.00211242402 0.00614023351 0.0000835622 0.0000782021 6113968.134 6104740.979 6109204.342 362.84705 68.61302 133.81132 0.0003057643 245.95722 356.000 0.197778 842.087 270.825 0.00209617887 0.00617179214 0.0000830696 0.0000787788 6098529.140 6089371.885 6093722.691 365.98271 54.85806 133.25398 0.0003058485 246.46592 357.001 0.198334 841.499 270.748 0.00207982512 0.00620295822 0.0000825662 0.0000793479 6083595.622 6074508.575 6078747.699 369.12722 41.09744 132.71488 0.0003059140 246.86043 358.000 0.198889 840.932 270.676 0.00206342425 0.00623361880 0.0000820538 0.0000799071 6069219.452 6060202.651 6064331.382 372.26866 27.38226 132.19589 0.0003059608 247.13980 359.001 0.199445 840.384 270.609 0.00204691978 0.00626388356 0.0000815307 0.0000804582 6055347.010 6046400.731 6050419.971 375.41776 13.66474 131.69508 0.0003059889 247.30553 360.000 0.200000 839.856 270.546 0.00203037367 0.00629364280 0.0000809991 0.0000809992 6042026.422 6033150.673 6037061.730 378.56259 -0.00422 131.21418 0.0003059983 247.35748 Engine speed (Hz) = 5.0000000000 Output power (W) = 1236.7873806441 Heat into heater (W) = 1892.8129382647 Heat to regenerator (W) = -0.0210783907 Heat removal from cooler (W) = 656.0709108971 Approximate Pumping loss (W) = -12.3967396702 Thermal efficiency (%) = 65.3412366136 The average engine pressure (Pa) = 8435848.9917731397 The exp space work per cycle (J) = 378.5579198973 The comp space work per cycle (J) = -131.2004437684 The net work per cycle (J) = 247.3574761288 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -904.2223182433 The expansion work for Vmin-to-Vmax (J) = 1151.5797943721 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 840.023 270.565 0.00203086204 0.00629241149 0.0000809987 0.0000809996 6044707.762 6032377.726 6037812.839 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000463 839.515 270.507 0.00201422677 0.00632176550 0.0000804572 0.0000815317 6031900.103 6019668.128 6024954.413 3.14706 -13.66175 -0.46290 0.0003059889 -0.06294 2.001 0.000926 839.028 270.454 0.00199752496 0.00635066633 0.0000799064 0.0000820544 6019616.164 6007482.405 6012621.426 6.29432 -27.29657 -0.90689 0.0003059608 -0.23852 3.001 0.001389 838.560 270.405 0.00198075910 0.00637911311 0.0000793466 0.0000825673 6007854.304 5995818.899 6000812.231 9.44115 -40.90294 -1.33202 0.0003059139 -0.52623 4.001 0.001852 838.113 270.360 0.00196393163 0.00640710497 0.0000787779 0.0000830704 5996612.931 5984675.996 5989525.228 12.58694 -54.47931 -1.73835 0.0003058483 -0.92558 5.001 0.002315 837.685 270.321 0.00194704499 0.00643464102 0.0000782006 0.0000835635 5985890.497 5974052.135 5978758.865 15.73105 -68.02419 -2.12594 0.0003057641 -1.43605 6.001 0.002778 837.278 270.286 0.00193010158 0.00646172034 0.0000776147 0.0000840464 5975685.508 5963945.803 5968511.641 18.87286 -81.53608 -2.49484 0.0003056611 -2.05714 7.001 0.003241 836.891 270.255 0.00191310377 0.00648834200 0.0000770205 0.0000845191 5965996.518 5954355.539 5958782.104 22.01174 -95.01349 -2.84511 0.0003055396 -2.78833 8.001 0.003704 836.524 270.229 0.00189605390 0.00651450504 0.0000764181 0.0000849813 5956822.137 5945279.935 5949568.857 25.14705 -108.45496 -3.17678 0.0003053994 -3.62911 9.001 0.004167 836.177 270.208 0.00187895429 0.00654020846 0.0000758077 0.0000854329 5948161.026 5936717.639 5940870.558 28.27815 -121.85902 -3.48992 0.0003052406 -4.57894 10.002 0.004630 835.850 270.191 0.00186180724 0.00656545123 0.0000751896 0.0000858738 5940011.905 5928667.354 5932685.920 31.40439 -135.22422 -3.78457 0.0003050634 -5.63731 11.002 0.005093 835.544 270.179 0.00184461503 0.00659023231 0.0000745639 0.0000863038 5932373.549 5921127.841 5925013.714 34.52511 -148.54912 -4.06077 0.0003048677 -6.80368 12.002 0.005556 835.257 270.172 0.00182737991 0.00661455058 0.0000739307 0.0000867229 5925244.790 5914097.919 5917852.769 37.63968 -161.83226 -4.31856 0.0003046536 -8.07751 13.002 0.006019 834.991 270.169 0.00181010413 0.00663840492 0.0000732903 0.0000871308 5918624.523 5907576.466 5911201.974 40.74743 -175.07222 -4.55799 0.0003044211 -9.45827 14.002 0.006482 834.745 270.171 0.00179278989 0.00666179414 0.0000726429 0.0000875275 5912511.699 5901562.419 5905060.277 43.84770 -188.26756 -4.77909 0.0003041704 -10.94542 15.002 0.006945 834.520 270.177 0.00177543941 0.00668471701 0.0000719887 0.0000879128 5906905.333 5896054.779 5899426.690 46.93982 -201.41685 -4.98190 0.0003039016 -12.53841 16.002 0.007408 834.314 270.188 0.00175805486 0.00670717227 0.0000713279 0.0000882867 5901804.500 5891052.605 5894300.287 50.02313 -214.51868 -5.16645 0.0003036146 -14.23668 17.002 0.007871 834.129 270.204 0.00174063844 0.00672915860 0.0000706606 0.0000886490 5897208.339 5886555.022 5889680.202 53.09696 -227.57160 -5.33277 0.0003033096 -16.03969 18.002 0.008334 833.964 270.225 0.00172319229 0.00675067461 0.0000699871 0.0000889995 5893116.052 5882561.215 5885565.636 56.16062 -240.57420 -5.48090 0.0003029866 -17.94688 19.000 0.008796 833.820 270.250 0.00170575635 0.00677167395 0.0000693091 0.0000893376 5889534.114 5879077.434 5881963.108 59.20687 -253.49714 -5.61059 0.0003026466 -19.95322 20.000 0.009259 833.695 270.280 0.00168825726 0.00679224604 0.0000686238 0.0000896645 5886446.352 5876087.912 5878856.353 62.24820 -266.39491 -5.72243 0.0003022882 -22.06684 21.000 0.009722 833.590 270.314 0.00167073488 0.00681234339 0.0000679328 0.0000899793 5883860.456 5873600.112 5876253.108 65.27732 -279.23807 -5.81615 0.0003019122 -24.28293 22.000 0.010185 833.506 270.353 0.00165319134 0.00683196439 0.0000672365 0.0000902821 5881775.889 5871613.476 5874152.836 68.29355 -292.02518 -5.89176 0.0003015186 -26.60093 23.000 0.010648 833.442 270.397 0.00163562875 0.00685110739 0.0000665351 0.0000905726 5880192.175 5870127.514 5872555.063 71.29620 -304.75478 -5.94928 0.0003011077 -29.02025 24.000 0.011111 833.399 270.445 0.00161804925 0.00686977067 0.0000658286 0.0000908509 5879108.909 5869141.799 5871459.385 74.28456 -317.42543 -5.98872 0.0003006795 -31.54030 25.001 0.011574 833.375 270.499 0.00160045494 0.00688795245 0.0000651174 0.0000911168 5878525.750 5868655.972 5870865.462 77.25793 -330.03567 -6.01011 0.0003002342 -34.16051 26.001 0.012037 833.372 270.556 0.00158284794 0.00690565088 0.0000644017 0.0000913702 5878442.423 5868669.736 5870773.024 80.21562 -342.58402 -6.01343 0.0002997719 -36.88027 27.001 0.012500 833.388 270.619 0.00156523037 0.00692286405 0.0000636817 0.0000916111 5878858.722 5869182.863 5871181.867 83.15692 -355.06902 -5.99871 0.0002992928 -39.69900 28.001 0.012963 833.425 270.686 0.00154760435 0.00693958997 0.0000629576 0.0000918394 5879774.506 5870195.188 5872091.854 86.08112 -367.48917 -5.96596 0.0002987970 -42.61607 29.001 0.013426 833.482 270.758 0.00152997200 0.00695582659 0.0000622296 0.0000920551 5881189.701 5871706.613 5873502.916 88.98751 -379.84297 -5.91516 0.0002982846 -45.63090 30.001 0.013889 833.560 270.835 0.00151233543 0.00697157179 0.0000614979 0.0000922580 5883104.301 5873717.104 5875415.050 91.87538 -392.12891 -5.84632 0.0002977559 -48.74285 31.001 0.014352 833.657 270.916 0.00149469679 0.00698682338 0.0000607628 0.0000924481 5885518.365 5876226.693 5877828.324 94.74399 -404.34547 -5.75944 0.0002972109 -51.95132 32.001 0.014815 833.775 271.002 0.00147705821 0.00700157907 0.0000600245 0.0000926253 5888432.019 5879235.477 5880742.868 97.59265 -416.49110 -5.65452 0.0002966498 -55.25569 33.001 0.015278 833.913 271.093 0.00145942184 0.00701583654 0.0000592832 0.0000927896 5891845.456 5882743.615 5884158.882 100.42061 -428.56424 -5.53154 0.0002960728 -58.65531 34.001 0.015741 834.070 271.188 0.00144178983 0.00702959336 0.0000585392 0.0000929410 5895758.935 5886751.333 5888076.632 103.22716 -440.56333 -5.39050 0.0002954802 -62.14955 35.001 0.016204 834.248 271.288 0.00142416434 0.00704284704 0.0000577926 0.0000930793 5900172.779 5891258.917 5892496.450 106.01156 -452.48678 -5.23139 0.0002948720 -65.73777 36.001 0.016667 834.446 271.393 0.00140654756 0.00705559500 0.0000570438 0.0000932046 5905087.380 5896266.718 5897418.735 108.77309 -464.33298 -5.05419 0.0002942484 -69.41931 37.002 0.017130 834.664 271.503 0.00138894168 0.00706783460 0.0000562929 0.0000933168 5910503.190 5901775.148 5902843.949 111.51101 -476.10029 -4.85888 0.0002936097 -73.19353 38.002 0.017593 834.902 271.617 0.00137134890 0.00707956311 0.0000555401 0.0000934159 5916420.729 5907784.681 5908772.621 114.22458 -487.78709 -4.64545 0.0002929560 -77.05976 39.002 0.018056 835.160 271.736 0.00135377146 0.00709077771 0.0000547857 0.0000935018 5922840.580 5914295.851 5915205.344 116.91306 -499.39169 -4.41387 0.0002922875 -81.01732 40.002 0.018519 835.438 271.860 0.00133621158 0.00710147551 0.0000540299 0.0000935746 5929763.389 5921309.252 5922142.774 119.57571 -510.91242 -4.16412 0.0002916045 -85.06554 41.002 0.018982 835.737 271.988 0.00131867153 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0.0000935017 0.0000547874 6972587.539 6956886.145 6969019.432 261.53353 534.28303 165.17750 0.0002922890 156.59283 322.001 0.149074 873.676 276.108 0.00258473994 0.00485185026 0.0000934157 0.0000555418 6937916.664 6922279.075 6934233.773 264.25618 521.09430 163.92522 0.0002929575 161.23040 323.001 0.149537 872.450 275.880 0.00257292233 0.00489749233 0.0000933166 0.0000562945 6903834.435 6888262.639 6900037.850 266.99785 507.84517 162.69417 0.0002936111 165.74286 324.001 0.150000 871.242 275.656 0.00256090744 0.00494274870 0.0000932043 0.0000570455 6870340.431 6854836.333 6866431.314 269.75824 494.53893 161.48433 0.0002942498 170.13022 325.001 0.150463 870.050 275.437 0.00254869987 0.00498761527 0.0000930790 0.0000577943 6837434.075 6821999.501 6833413.656 272.53705 481.17879 160.29570 0.0002948734 174.39253 326.001 0.150926 868.876 275.222 0.00253630415 0.00503208816 0.0000929406 0.0000585409 6805114.645 6789751.344 6800984.213 275.33395 467.76787 159.12824 0.0002954815 178.52987 327.001 0.151389 867.719 275.011 0.00252372474 0.00507616370 0.0000927893 0.0000592849 6773381.282 6758090.927 6769142.186 278.14862 454.30924 157.98192 0.0002960742 182.54233 328.001 0.151852 866.580 274.805 0.00251096604 0.00511983843 0.0000926249 0.0000600262 6742233.003 6727017.190 6737886.640 280.98070 440.80590 156.85672 0.0002966511 186.43003 329.001 0.152315 865.459 274.604 0.00249803235 0.00516310907 0.0000924476 0.0000607645 6711668.702 6696528.957 6707216.519 283.82983 427.26076 155.75260 0.0002972121 190.19311 330.001 0.152778 864.355 274.406 0.00248492794 0.00520597254 0.0000922575 0.0000614995 6681687.166 6666624.945 6677130.653 286.69565 413.67669 154.66951 0.0002977571 193.83173 331.001 0.153241 863.270 274.214 0.00247165696 0.00524842591 0.0000920546 0.0000622312 6652287.080 6637303.769 6647627.768 289.57777 400.05648 153.60740 0.0002982858 197.34606 332.001 0.153704 862.202 274.025 0.00245822355 0.00529046645 0.0000918389 0.0000629592 6623467.035 6608563.955 6618706.488 292.47579 386.40286 152.56624 0.0002987981 200.73630 333.001 0.154167 861.153 273.841 0.00244463172 0.00533209154 0.0000916106 0.0000636833 6595225.537 6580403.943 6590365.354 295.38931 372.71849 151.54596 0.0002992939 204.00267 334.002 0.154630 860.121 273.662 0.00243088546 0.00537329876 0.0000913697 0.0000644033 6567561.013 6552822.097 6562602.818 298.31791 359.00600 150.54651 0.0002997730 207.14539 335.002 0.155093 859.109 273.487 0.00241698866 0.00541408580 0.0000911162 0.0000651191 6540471.816 6525816.713 6535417.264 301.26116 345.26793 149.56783 0.0003002352 210.16471 336.002 0.155556 858.115 273.316 0.00240294518 0.00545445049 0.0000908503 0.0000658302 6513956.239 6499386.021 6508807.003 304.21863 331.50676 148.60986 0.0003006805 213.06089 337.002 0.156019 857.139 273.150 0.00238875877 0.00549439078 0.0000905720 0.0000665367 6488012.512 6473528.198 6482770.289 307.18988 317.72495 147.67253 0.0003011086 215.83422 338.002 0.156482 856.182 272.988 0.00237443315 0.00553390475 0.0000902814 0.0000672381 6462638.818 6448241.372 6457305.321 310.17443 303.92488 146.75580 0.0003015195 218.48497 339.002 0.156945 855.245 272.830 0.00235997196 0.00557299058 0.0000899786 0.0000679344 6437833.292 6423523.624 6432410.249 313.17183 290.10888 145.85957 0.0003019130 221.01346 340.002 0.157408 854.326 272.678 0.00234537878 0.00561164656 0.0000896637 0.0000686253 6413594.029 6399373.000 6408083.182 316.18161 276.27923 144.98380 0.0003022890 223.42001 341.002 0.157871 853.425 272.529 0.00233065714 0.00564987108 0.0000893368 0.0000693106 6389919.092 6375787.513 6384322.193 319.20327 262.43817 144.12840 0.0003026474 225.70494 342.000 0.158333 852.546 272.386 0.00231584270 0.00568758146 0.0000889988 0.0000699886 6366855.828 6352814.270 6361174.819 322.22977 248.61780 143.29510 0.0003029874 227.86405 343.000 0.158796 851.685 272.246 0.00230087471 0.00572493950 0.0000886482 0.0000706621 6344302.411 6330351.788 6338538.877 325.27371 234.76045 142.48020 0.0003033103 229.90704 344.000 0.159259 850.842 272.111 0.00228578845 0.00576186175 0.0000882859 0.0000713294 6322307.360 6308448.350 6316463.075 328.32805 220.89810 141.68547 0.0003036152 231.82948 345.000 0.159722 850.019 271.980 0.00227058722 0.00579834693 0.0000879120 0.0000719902 6300868.654 6287101.892 6294945.396 331.39226 207.03281 140.91084 0.0003039022 233.63173 346.000 0.160185 849.215 271.854 0.00225527423 0.00583439379 0.0000875266 0.0000726444 6279984.262 6266310.346 6273983.813 334.46584 193.16660 140.15622 0.0003041710 235.31418 347.000 0.160648 848.430 271.733 0.00223985268 0.00587000119 0.0000871299 0.0000732918 6259652.151 6246071.639 6253576.293 337.54824 179.30145 139.42155 0.0003044217 236.87723 348.000 0.161111 847.665 271.616 0.00222432567 0.00590516800 0.0000867219 0.0000739321 6239870.285 6226383.700 6233720.802 340.63894 165.43928 138.70675 0.0003046541 238.32127 349.001 0.161574 846.920 271.503 0.00220869629 0.00593989316 0.0000863029 0.0000745653 6220636.635 6207244.464 6214415.307 343.73739 151.58200 138.01175 0.0003048681 239.64672 350.001 0.162037 846.194 271.395 0.00219296756 0.00597417565 0.0000858728 0.0000751910 6201949.176 6188651.874 6195657.786 346.84304 137.73147 137.33648 0.0003050638 240.85399 351.001 0.162500 845.487 271.292 0.00217714245 0.00600801450 0.0000854319 0.0000758091 6183805.899 6170603.889 6177446.224 349.95534 123.88953 136.68087 0.0003052410 241.94352 352.001 0.162963 844.801 271.193 0.00216122388 0.00604140875 0.0000849803 0.0000764195 6166204.806 6153098.481 6159778.621 353.07374 110.05797 136.04483 0.0003053997 242.91573 353.001 0.163426 844.134 271.098 0.00214521473 0.00607435749 0.0000845180 0.0000770218 6149143.920 6136133.644 6142652.996 356.19765 96.23857 135.42831 0.0003055399 243.77106 354.001 0.163889 843.487 271.008 0.00212911784 0.00610685983 0.0000840454 0.0000776160 6132621.285 6119707.393 6126067.388 359.32652 82.43306 134.83123 0.0003056614 244.50997 355.001 0.164352 842.860 270.923 0.00211293599 0.00613891488 0.0000835624 0.0000782019 6116634.969 6103817.771 6110019.860 362.45976 68.64315 134.25352 0.0003057643 245.13291 356.001 0.164815 842.252 270.842 0.00209667194 0.00617052180 0.0000830693 0.0000787792 6101183.067 6088462.848 6094508.503 365.59680 54.87054 133.69511 0.0003058485 245.64034 357.001 0.165278 841.665 270.765 0.00208032837 0.00620167973 0.0000825662 0.0000793479 6086263.707 6073640.728 6079531.438 368.73704 41.11687 133.15594 0.0003059140 246.03272 358.001 0.165741 841.097 270.694 0.00206390798 0.00623238784 0.0000820532 0.0000799077 6071875.048 6059349.545 6065086.818 371.87989 27.38380 132.63593 0.0003059609 246.31053 359.001 0.166204 840.549 270.626 0.00204741337 0.00626264529 0.0000815305 0.0000804584 6058015.284 6045587.474 6051172.832 375.02475 13.67292 132.13503 0.0003059889 246.47424 360.001 0.166667 840.022 270.564 0.00203084714 0.00629245124 0.0000809983 0.0000809999 6044682.649 6032352.726 6037787.707 378.17102 -0.01416 131.65316 0.0003059983 246.52434 Engine speed (Hz) = 6.0000000000 Output power (W) = 1479.1459430408 Heat into heater (W) = 2269.0261292439 Heat to regenerator (W) = -0.0849345075 Heat removal from cooler (W) = 789.9189671899 Approximate Pumping loss (W) = -20.6535076366 Thermal efficiency (%) = 65.1885813027 The average engine pressure (Pa) = 8436191.2858316507 The exp space work per cycle (J) = 378.1606276139 The comp space work per cycle (J) = -131.6363037737 The net work per cycle (J) = 246.5243238401 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -904.6316943869 The expansion work for Vmin-to-Vmax (J) = 1151.1560182271 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 840.221 270.585 0.00203140368 0.00629103329 0.0000809985 0.0000809997 6047760.849 6031478.040 6038658.588 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000397 839.714 270.527 0.00201475986 0.00632041479 0.0000804568 0.0000815321 6034950.536 6018796.987 6025781.021 3.14581 -13.67055 -0.46359 0.0003059889 -0.06511 2.002 0.000794 839.226 270.474 0.00199804923 0.00634934293 0.0000799058 0.0000820549 6022663.831 6006639.759 6013429.338 6.29183 -27.31430 -0.90825 0.0003059607 -0.24294 3.002 0.001191 838.758 270.425 0.00198127428 0.00637781684 0.0000793458 0.0000825680 6010899.102 5995004.699 6001601.898 9.43744 -40.92971 -1.33404 0.0003059138 -0.53299 4.000 0.001587 838.312 270.382 0.00196447997 0.00640576562 0.0000787784 0.0000830700 5999682.434 5983917.541 5990324.925 12.57411 -54.48106 -1.74001 0.0003058484 -0.93360 5.001 0.001984 837.885 270.342 0.00194758390 0.00643332954 0.0000782008 0.0000835633 5988955.641 5973320.730 5979539.922 15.71704 -68.03528 -2.12827 0.0003057641 -1.44630 6.001 0.002381 837.477 270.307 0.00193063082 0.00646043650 0.0000776147 0.0000840464 5978746.213 5963241.408 5969274.527 18.85769 -81.55663 -2.49783 0.0003056611 -2.06969 7.002 0.002778 837.090 270.277 0.00191362311 0.00648708557 0.0000770203 0.0000845193 5969052.713 5953678.116 5959527.295 21.99541 -95.04359 -2.84873 0.0003055395 -2.80327 8.002 0.003175 836.723 270.252 0.00189656311 0.00651327575 0.0000764177 0.0000849816 5959873.757 5944629.448 5950296.833 25.12959 -108.49470 -3.18102 0.0003053993 -3.64652 9.003 0.003572 836.376 270.231 0.00187945317 0.00653900606 0.0000758071 0.0000854334 5951208.012 5936094.054 5941581.803 28.25956 -121.90849 -3.49476 0.0003052405 -4.59890 10.000 0.003968 836.050 270.214 0.00186233885 0.00656421238 0.0000751903 0.0000858733 5943074.102 5928090.205 5933400.937 31.37682 -135.24985 -3.78928 0.0003050636 -5.65709 11.001 0.004365 835.743 270.203 0.00184513601 0.00658902093 0.0000745643 0.0000863035 5935429.730 5920576.244 5925711.696 34.49646 -148.58472 -4.06609 0.0003048678 -6.82590 12.001 0.004762 835.457 270.196 0.00182789007 0.00661336639 0.0000739309 0.0000867227 5928294.920 5913571.846 5918534.218 37.60995 -161.87791 -4.32448 0.0003046537 -8.10226 13.002 0.005159 835.191 270.193 0.00181060327 0.00663724759 0.0000732903 0.0000871308 5921668.570 5907075.891 5911867.398 40.71664 -175.12798 -4.56448 0.0003044211 -9.48562 14.002 0.005556 834.944 270.195 0.00179327784 0.00666066334 0.0000726427 0.0000875277 5915549.641 5901087.319 5905710.190 43.81585 -188.33348 -4.78614 0.0003041703 -10.97545 15.000 0.005952 834.719 270.202 0.00177595977 0.00668355519 0.0000719899 0.0000879122 5909950.654 5895618.303 5900075.200 46.89915 -201.45990 -4.98900 0.0003039021 -12.56705 16.001 0.006349 834.513 270.214 0.00175856378 0.00670603747 0.0000713288 0.0000882862 5904842.414 5890640.286 5894933.049 49.98145 -214.57209 -5.17412 0.0003036150 -14.26789 17.001 0.006746 834.328 270.230 0.00174113575 0.00672805044 0.0000706613 0.0000886486 5900238.842 5886166.841 5890297.748 53.05427 -227.63543 -5.34099 0.0003033099 -16.07355 18.001 0.007143 834.163 270.251 0.00172367786 0.00674959273 0.0000699876 0.0000889993 5896139.146 5882197.155 5886168.503 56.11693 -240.64847 -5.48964 0.0003029869 -17.98346 19.002 0.007540 834.018 270.276 0.00170619225 0.00677066289 0.0000693078 0.0000893382 5892542.597 5878730.478 5882544.583 59.16876 -253.60979 -5.62010 0.0003026460 -19.99705 20.002 0.007937 833.893 270.306 0.00168868108 0.00679125943 0.0000686223 0.0000896651 5889448.532 5875766.126 5879425.325 62.20908 -266.51794 -5.73240 0.0003022874 -22.11377 21.000 0.008333 833.788 270.341 0.00167119070 0.00681133072 0.0000679328 0.0000899793 5886862.252 5873309.050 5876816.084 65.22957 -279.33917 -5.82633 0.0003019122 -24.32732 22.001 0.008730 833.704 270.380 0.00165363489 0.00683097651 0.0000672363 0.0000902822 5884770.161 5871346.286 5874703.151 68.24482 -292.13679 -5.90240 0.0003015185 -26.64831 23.001 0.009127 833.640 270.424 0.00163605993 0.00685014385 0.0000665346 0.0000905728 5883178.956 5869884.178 5873093.282 71.24648 -304.87692 -5.96035 0.0003011074 -29.07069 24.002 0.009524 833.595 270.473 0.00161846794 0.00686883101 0.0000658279 0.0000908512 5882088.235 5868922.301 5871986.080 74.23386 -317.55808 -6.00021 0.0003006791 -31.59388 25.002 0.009921 833.572 270.527 0.00160086106 0.00688703619 0.0000651164 0.0000911172 5881497.664 5868460.292 5871381.211 77.20625 -330.17882 -6.02199 0.0003002336 -34.21729 26.002 0.010318 833.568 270.585 0.00158324140 0.00690475753 0.0000644004 0.0000913707 5881406.974 5868497.856 5871278.412 80.16295 -342.73765 -6.02569 0.0002997711 -36.94033 27.000 0.010714 833.584 270.648 0.00156565552 0.00692195029 0.0000636819 0.0000916111 5881814.305 5869032.782 5871675.850 83.09587 -355.20170 -6.01138 0.0002992930 -39.75517 28.001 0.011111 833.621 270.715 0.00154801671 0.00693869932 0.0000629576 0.0000918394 5882721.582 5870067.606 5872575.403 86.01911 -367.63243 -5.97899 0.0002987970 -42.67541 29.001 0.011508 833.678 270.787 0.00153037150 0.00695495852 0.0000622293 0.0000920551 5884128.337 5871601.505 5873976.638 88.92454 -379.99678 -5.92855 0.0002982844 -45.69347 30.002 0.011905 833.755 270.864 0.00151272202 0.00697072575 0.0000614974 0.0000922581 5886034.568 5873634.445 5875879.560 91.81143 -392.29322 -5.86005 0.0002977555 -48.80873 31.002 0.012302 833.852 270.946 0.00149507041 0.00698599879 0.0000607620 0.0000924483 5888440.343 5876166.452 5878284.242 94.67907 -404.52022 -5.77348 0.0002972103 -52.02057 32.000 0.012698 833.969 271.032 0.00147746328 0.00700073878 0.0000600253 0.0000926251 5891337.847 5879189.357 5881182.875 97.51959 -416.64571 -5.66913 0.0002966504 -55.31992 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885.595 278.364 0.00268177091 0.00442276807 0.0000937135 0.0000487221 7273384.219 7252107.072 7269931.614 240.14409 637.14068 176.48232 0.0002864356 114.14047 314.001 0.124603 884.227 278.096 0.00267195502 0.00447166683 0.0000937334 0.0000494813 7234030.771 7212812.293 7230419.530 242.70416 624.56492 175.05989 0.0002872147 119.77648 315.001 0.125000 882.873 277.832 0.00266189681 0.00452022899 0.0000937400 0.0000502409 7195262.249 7174105.968 7191492.730 245.28502 611.89941 173.65852 0.0002879809 125.28810 316.002 0.125397 881.536 277.573 0.00265160151 0.00456844797 0.0000937334 0.0000510004 7157079.840 7135989.165 7153152.563 247.88652 599.14807 172.27828 0.0002887337 130.67512 317.002 0.125794 880.213 277.318 0.00264107430 0.00461631752 0.0000937134 0.0000517596 7119484.486 7098462.713 7115400.131 250.50847 586.31472 170.91919 0.0002894731 135.93736 318.002 0.126191 878.907 277.068 0.00263032027 0.00466383168 0.0000936803 0.0000525185 7082476.901 7061527.212 7078236.295 253.15067 573.40312 169.58129 0.0002901988 141.07467 319.000 0.126587 877.620 276.823 0.00261937237 0.00471086649 0.0000936340 0.0000532747 7046148.579 7025273.848 7041753.077 255.80618 560.44974 168.26789 0.0002909087 146.07448 320.001 0.126984 876.345 276.581 0.00260818027 0.00475765412 0.0000935744 0.0000540319 7010316.335 6989519.701 7005766.634 258.48817 547.39274 166.97238 0.0002916063 150.96196 321.001 0.127381 875.087 276.344 0.00259677621 0.00480407025 0.0000935016 0.0000547879 6975072.741 6954357.050 6970370.056 261.18973 534.26826 165.69811 0.0002922895 155.72425 322.002 0.127778 873.846 276.112 0.00258516502 0.00485011004 0.0000934156 0.0000555426 6940417.711 6919785.695 6935563.363 263.91058 521.07972 164.44506 0.0002929582 160.36134 323.002 0.128175 872.621 275.884 0.00257335144 0.00489576889 0.0000933164 0.0000562956 6906350.981 6885805.266 6901346.398 266.65046 507.83049 163.21325 0.0002936121 164.87322 324.003 0.128572 871.414 275.661 0.00256134015 0.00494104246 0.0000932041 0.0000570468 6872872.124 6852415.229 6867718.829 269.40907 494.52384 162.00266 0.0002942510 169.25993 325.000 0.128968 870.226 275.442 0.00254916673 0.00498581407 0.0000930791 0.0000577941 6840062.673 6819696.779 6834762.646 272.17908 481.19671 160.81624 0.0002948731 173.51092 326.001 0.129365 869.052 275.227 0.00253677423 0.00503030594 0.0000929406 0.0000585409 6807756.202 6787483.849 6802310.763 274.97418 467.78491 159.64797 0.0002954815 177.64775 327.001 0.129762 867.896 275.017 0.00252419760 0.00507440084 0.0000927892 0.0000592852 6776035.441 6755858.841 6770446.359 277.78704 454.32509 158.50085 0.0002960744 181.65961 328.002 0.130159 866.758 274.812 0.00251144123 0.00511809528 0.0000926248 0.0000600267 6744899.405 6724820.674 6739168.518 280.61733 440.82026 157.37485 0.0002966515 185.54662 329.002 0.130556 865.637 274.610 0.00249850945 0.00516138598 0.0000924474 0.0000607653 6714346.991 6694368.150 6708476.201 283.46469 427.27334 156.26993 0.0002972127 189.30892 330.000 0.130952 864.537 274.414 0.00248543972 0.00520416231 0.0000922577 0.0000614988 6684451.748 6664574.464 6678443.359 286.32151 413.72146 155.18874 0.0002977565 192.93767 331.001 0.131349 863.452 274.221 0.00247217020 0.00524663740 0.0000920548 0.0000622307 6655061.379 6635287.746 6648917.054 289.20184 400.09897 154.12580 0.0002982854 196.45136 332.001 0.131746 862.385 274.033 0.00245873779 0.00528869993 0.0000918390 0.0000629589 6626250.705 6606582.472 6619972.504 292.09809 386.44278 153.08379 0.0002987980 199.84087 333.001 0.132143 861.336 273.850 0.00244514655 0.00533034731 0.0000916106 0.0000636833 6598018.235 6578457.069 6591608.260 295.00985 372.75557 152.06268 0.0002992939 203.10642 334.002 0.132540 860.305 273.671 0.00243140044 0.00537157706 0.0000913696 0.0000644036 6570362.400 6550909.884 6563822.794 297.93671 359.03994 151.06240 0.0002997732 206.24823 335.002 0.132937 859.293 273.496 0.00241750337 0.00541238687 0.0000911160 0.0000651196 6543281.560 6523939.198 6536614.500 300.87825 345.29845 150.08291 0.0003002356 209.26656 336.000 0.133333 858.302 273.326 0.00240349474 0.00545267334 0.0000908507 0.0000658292 6516840.062 6497608.999 6510048.067 303.82655 331.56830 149.12651 0.0003006799 212.15452 337.001 0.133730 857.327 273.160 0.00238930757 0.00549263789 0.0000905723 0.0000665359 6490902.604 6471784.474 6483987.592 306.79608 317.78259 148.18834 0.0003011082 214.92698 338.001 0.134127 856.371 272.999 0.00237498077 0.00553217632 0.0000902816 0.0000672376 6465534.867 6446530.952 6458499.096 309.77894 303.97835 147.27075 0.0003015192 217.57679 339.002 0.134524 855.433 272.842 0.00236051799 0.00557128677 0.0000899787 0.0000679342 6440734.993 6421846.506 6433580.743 312.77466 290.15792 146.37369 0.0003019129 220.10424 340.002 0.134921 854.515 272.689 0.00234592281 0.00560996753 0.0000896637 0.0000686253 6416501.086 6397729.172 6409230.653 315.78278 276.32359 145.49709 0.0003022890 222.50965 341.002 0.135318 853.615 272.541 0.00233119876 0.00564821697 0.0000893367 0.0000693108 6392831.213 6374176.956 6385446.910 318.80281 262.47760 144.64087 0.0003026476 224.79336 342.000 0.135714 852.737 272.398 0.00231638686 0.00568593883 0.0000889986 0.0000699889 6369780.918 6351245.039 6362285.347 321.82661 248.65704 143.80706 0.0003029875 226.95041 343.001 0.136111 851.875 272.259 0.00230141572 0.00572332217 0.0000886479 0.0000706626 6347231.806 6328815.566 6339627.019 324.86896 234.79427 142.99136 0.0003033105 228.99205 344.001 0.136508 851.033 272.124 0.00228632592 0.00576026981 0.0000882855 0.0000713301 6325240.794 6306945.098 6317529.131 327.92172 220.92628 142.19583 0.0003036156 230.91305 345.002 0.136905 850.210 271.994 0.00227112076 0.00579678044 0.0000879114 0.0000719911 6303805.867 6285631.567 6295989.678 330.98438 207.05512 141.42041 0.0003039026 232.71377 346.002 0.137302 849.406 271.868 0.00225580348 0.00583285283 0.0000875259 0.0000726456 6282925.004 6264872.899 6275006.641 334.05642 193.18282 140.66502 0.0003041715 234.39460 347.000 0.137698 848.624 271.747 0.00224041626 0.00586839657 0.0000871301 0.0000732915 6262646.693 6244717.220 6254628.758 337.12954 179.34630 139.93142 0.0003044216 235.95216 348.000 0.138095 847.859 271.631 0.00222488450 0.00590359007 0.0000867219 0.0000739321 6242866.495 6225060.667 6234751.090 340.21873 165.47761 139.21582 0.0003046541 237.39470 349.001 0.138492 847.114 271.518 0.00220925000 0.00593834194 0.0000863027 0.0000745655 6223634.290 6205952.763 6215423.770 343.31570 151.61360 138.52004 0.0003048682 238.71856 350.001 0.138889 846.388 271.411 0.00219351580 0.00597265114 0.0000858725 0.0000751914 6204948.065 6187391.450 6196644.782 346.41989 137.75614 137.84400 0.0003050639 239.92416 351.002 0.139286 845.682 271.308 0.00217768488 0.00600651667 0.0000854314 0.0000758098 6186805.816 6169374.683 6178412.120 349.53075 123.90708 137.18762 0.0003052412 241.01193 352.002 0.139683 844.996 271.209 0.00216176016 0.00603993757 0.0000849796 0.0000764203 6169205.554 6151900.435 6160723.792 352.64772 110.06821 136.55084 0.0003053999 241.98229 353.000 0.140079 844.331 271.115 0.00214578499 0.00607283041 0.0000845184 0.0000770214 6152187.607 6135008.675 6143620.332 355.76237 96.27613 135.93512 0.0003055398 242.83369 354.001 0.140476 843.684 271.025 0.00212968151 0.00610536041 0.0000840455 0.0000776158 6135664.080 6118612.109 6127013.410 358.88984 82.46292 135.33727 0.0003056614 243.57087 355.001 0.140873 843.057 270.940 0.00211349276 0.00613744305 0.0000835624 0.0000782019 6119676.705 6102752.116 6110944.968 362.02172 68.66514 134.75880 0.0003057643 244.19199 356.001 0.141270 842.449 270.860 0.00209722149 0.00616907747 0.0000830691 0.0000787794 6104223.585 6087426.767 6095413.104 365.15740 54.88449 134.19966 0.0003058485 244.69751 357.002 0.141667 841.862 270.784 0.00208087041 0.00620026280 0.0000825658 0.0000793483 6089302.855 6072634.163 6080415.945 368.29631 41.12263 133.65976 0.0003059141 245.08790 358.002 0.142064 841.294 270.712 0.00206444220 0.00623099818 0.0000820526 0.0000799083 6074912.682 6058372.442 6065951.650 371.43785 27.38121 133.13904 0.0003059609 245.36364 359.000 0.142460 840.748 270.646 0.00204798115 0.00626120706 0.0000815311 0.0000804578 6061085.521 6044673.705 6052052.845 374.57351 13.69638 132.63869 0.0003059889 245.52492 360.001 0.142857 840.220 270.583 0.00203140672 0.00629104114 0.0000809987 0.0000809996 6047749.782 6031466.983 6038647.570 377.71851 0.00061 132.15610 0.0003059983 245.57306 Engine speed (Hz) = 7.0000000000 Output power (W) = 1719.0112902594 Heat into heater (W) = 2644.0295462436 Heat to regenerator (W) = 0.0042509712 Heat removal from cooler (W) = 925.0926716782 Approximate Pumping loss (W) = -31.7993387882 Thermal efficiency (%) = 65.0148290779 The average engine pressure (Pa) = 8436552.3868249003 The exp space work per cycle (J) = 377.7140930225 The comp space work per cycle (J) = -132.1410515569 The net work per cycle (J) = 245.5730414656 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -905.0993296598 The expansion work for Vmin-to-Vmax (J) = 1150.6723711254 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 840.448 270.606 0.00203197646 0.00628954083 0.0000809976 0.0000810007 6051167.176 6030446.745 6039588.372 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000348 839.941 270.549 0.00201534779 0.00631890921 0.0000804564 0.0000815325 6038373.306 6017816.781 6026708.746 3.13965 -13.66005 -0.46367 0.0003059889 -0.06752 2.002 0.000695 839.454 270.496 0.00199865221 0.00634782538 0.0000799060 0.0000820547 6026101.365 6005709.039 6014353.941 6.27952 -27.29352 -0.90844 0.0003059607 -0.24753 3.001 0.001042 838.987 270.448 0.00198189222 0.00637628847 0.0000793466 0.0000825673 6014349.736 5994121.868 6002522.330 9.41901 -40.89887 -1.33438 0.0003059139 -0.53951 4.000 0.001389 838.540 270.405 0.00196507027 0.00640429756 0.0000787784 0.0000830700 6003116.846 5983053.669 5991212.332 12.55749 -54.47458 -1.74154 0.0003058484 -0.94298 5.003 0.001737 838.112 270.365 0.00194814006 0.00643193049 0.0000781997 0.0000835642 5992371.037 5972473.227 5980392.067 15.70337 -68.05810 -2.13107 0.0003057639 -1.45906 6.002 0.002084 837.705 270.331 0.00193120131 0.00645902752 0.0000776143 0.0000840468 5982172.589 5962439.844 5970122.232 18.83796 -81.56986 -2.50078 0.0003056611 -2.08429 7.001 0.002431 837.318 270.301 0.00191420783 0.00648566774 0.0000770205 0.0000845191 5972488.453 5952920.921 5960369.554 21.96964 -95.04747 -2.85188 0.0003055396 -2.81946 8.001 0.002778 836.952 270.276 0.00189716197 0.00651185016 0.0000764185 0.0000849810 5963317.260 5943915.059 5951132.652 25.09780 -108.48942 -3.18441 0.0003053995 -3.66407 9.003 0.003126 836.604 270.256 0.00188001672 0.00653764724 0.0000758069 0.0000854335 5954633.474 5935397.175 5942385.805 28.23079 -121.93284 -3.49929 0.0003052404 -4.62049 10.002 0.003473 836.278 270.240 0.00186287293 0.00656290967 0.0000751892 0.0000858741 5946485.737 5927414.931 5934178.010 31.34994 -135.29900 -3.79477 0.0003050633 -5.68270 11.002 0.003820 835.971 270.228 0.00184568369 0.00658771114 0.0000745639 0.0000863038 5938847.153 5919941.884 5926482.177 34.46363 -148.62512 -4.07182 0.0003048677 -6.85277 12.001 0.004167 835.685 270.222 0.00182845125 0.00661205055 0.0000739312 0.0000867226 5931716.575 5912976.859 5919297.152 37.57120 -161.90976 -4.33048 0.0003046537 -8.13015 13.000 0.004514 835.419 270.220 0.00181117787 0.00663592673 0.0000732913 0.0000871302 5925092.912 5906518.744 5912621.839 40.67199 -175.15147 -4.57080 0.0003044215 -9.51431 14.003 0.004862 835.172 270.222 0.00179381583 0.00665940528 0.0000726425 0.0000875278 5918958.236 5900550.061 5906438.166 43.77425 -188.38678 -4.79341 0.0003041703 -11.00915 15.002 0.005209 834.947 270.229 0.00177646712 0.00668235001 0.0000719887 0.0000879128 5913346.831 5895104.115 5900780.694 46.85948 -201.53819 -4.99708 0.0003039016 -12.60555 16.001 0.005556 834.741 270.241 0.00175908410 0.00670482775 0.0000713283 0.0000882864 5908239.433 5890162.094 5895630.011 49.93594 -214.64236 -5.18250 0.0003036148 -14.30708 17.001 0.005903 834.555 270.258 0.00174166897 0.00672683718 0.0000706616 0.0000886485 5903635.197 5885723.129 5890985.267 53.00296 -227.69786 -5.34971 0.0003033100 -16.11320 18.003 0.006251 834.390 270.279 0.00172417357 0.00674843828 0.0000699866 0.0000889998 5899522.245 5881775.790 5886834.478 56.06865 -240.74065 -5.49914 0.0003029864 -18.02901 19.002 0.006598 834.245 270.305 0.00170670061 0.00676950546 0.0000693076 0.0000893383 5895923.494 5878342.016 5883200.776 59.11472 -253.69433 -5.62995 0.0003026459 -20.04292 20.002 0.006945 834.120 270.335 0.00168920203 0.00679009997 0.0000686228 0.0000896649 5892825.748 5875409.060 5880070.851 62.14932 -266.59503 -5.74263 0.0003022877 -22.15974 21.001 0.007292 834.015 270.370 0.00167167995 0.00681022025 0.0000679323 0.0000899795 5890228.417 5872976.302 5877444.113 65.17175 -279.44130 -5.83719 0.0003019119 -24.37888 22.000 0.007639 833.930 270.410 0.00165413653 0.00682986468 0.0000672365 0.0000902821 5888130.976 5871043.190 5875320.040 68.18133 -292.23169 -5.91366 0.0003015186 -26.69978 23.003 0.007987 833.865 270.455 0.00163652324 0.00684908612 0.0000665336 0.0000905732 5886529.083 5869605.821 5873694.224 71.18597 -305.00135 -5.97219 0.0003011068 -29.12898 24.002 0.008334 833.821 270.504 0.00161894345 0.00686777236 0.0000658276 0.0000908513 5885431.550 5868672.031 5872575.618 74.16772 -317.67545 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0.0002788818 56.96833 305.001 0.105903 897.222 280.675 0.00275116578 0.00401869292 0.0000930792 0.0000426868 7611070.155 7583615.495 7608287.369 220.09473 733.85338 189.19303 0.0002797660 63.69815 306.003 0.106251 895.741 280.369 0.00274348307 0.00407008268 0.0000932048 0.0000434373 7567079.122 7539657.579 7564100.328 222.48636 722.13526 187.60229 0.0002806421 70.32630 307.002 0.106598 894.277 280.068 0.00273553606 0.00412105466 0.0000933169 0.0000441877 7523778.927 7496395.958 7520602.853 224.89250 710.32649 186.03639 0.0002815046 76.81411 308.002 0.106945 892.826 279.772 0.00272730879 0.00417174740 0.0000934159 0.0000449399 7481045.861 7453706.889 7477671.017 227.31999 698.39817 184.49084 0.0002823558 83.18031 309.001 0.107292 891.389 279.481 0.00271880690 0.00422215182 0.0000935018 0.0000456938 7438883.093 7411593.418 7435308.314 229.76878 686.35481 182.96578 0.0002831956 89.42440 310.000 0.107639 889.966 279.195 0.00271003596 0.00427225923 0.0000935745 0.0000464490 7397293.468 7370058.256 7393517.894 232.23883 674.20083 181.46133 0.0002840235 95.54596 311.003 0.107987 888.553 278.913 0.00270097508 0.00432220437 0.0000936342 0.0000472076 7356162.154 7328986.615 7352184.632 234.73728 661.90507 179.97333 0.0002848417 101.56171 312.002 0.108334 887.158 278.636 0.00269168181 0.00437169227 0.0000936805 0.0000479649 7315727.773 7288616.636 7311548.585 237.24969 649.54246 178.51043 0.0002856453 107.43671 313.001 0.108681 885.778 278.364 0.00268213589 0.00442085930 0.0000937135 0.0000487229 7275873.245 7248831.260 7271492.348 239.78309 637.08196 177.06841 0.0002864364 113.18811 314.001 0.109028 884.412 278.096 0.00267234267 0.00446969824 0.0000937334 0.0000494813 7236600.237 7209632.014 7232017.831 242.33736 624.52766 175.64732 0.0002872147 118.81564 315.003 0.109376 883.058 277.832 0.00266227814 0.00451834150 0.0000937400 0.0000502422 7197799.500 7170909.737 7193015.433 244.91981 611.84696 174.24324 0.0002879822 124.33473 316.002 0.109723 881.723 277.573 0.00265200536 0.00456650292 0.0000937333 0.0000510009 7159695.189 7132887.985 7154710.681 247.51543 599.11665 172.86427 0.0002887343 129.71346 317.002 0.110070 880.404 277.319 0.00264150091 0.00461431655 0.0000937135 0.0000517594 7122175.885 7095455.418 7116991.775 250.13143 586.30425 171.50639 0.0002894728 134.96768 318.001 0.110417 879.100 277.070 0.00263076986 0.00466177642 0.0000936803 0.0000525174 7085242.283 7058612.583 7079859.597 252.76763 573.41348 170.16963 0.0002901977 140.09725 319.000 0.110764 877.813 276.825 0.00261981720 0.00470887690 0.0000936340 0.0000532747 7048894.861 7022359.819 7043314.802 255.42380 560.44801 168.85402 0.0002909087 145.10207 320.003 0.111112 876.537 276.583 0.00260861538 0.00475574676 0.0000935743 0.0000540332 7013031.687 6986595.340 7007255.057 258.10747 547.37373 167.55587 0.0002916075 149.99591 321.002 0.111459 875.282 276.347 0.00259723365 0.00480211152 0.0000935015 0.0000547885 6977858.956 6951524.632 6971887.840 260.80295 534.26929 166.28265 0.0002922900 154.75061 322.001 0.111806 874.043 276.116 0.00258564492 0.00484810156 0.0000934156 0.0000555423 6943272.668 6917043.837 6937108.728 263.51768 521.10065 165.03060 0.0002929579 159.38039 323.001 0.112153 872.821 275.888 0.00257385392 0.00489371230 0.0000933166 0.0000562945 6909272.556 6883152.550 6902917.583 266.25139 507.87114 163.79972 0.0002936111 163.88523 324.003 0.112501 871.613 275.665 0.00256183047 0.00493906915 0.0000932041 0.0000570471 6875762.740 6849755.085 6869218.106 269.01173 494.54567 162.58653 0.0002942512 168.27760 325.002 0.112848 870.425 275.447 0.00254964827 0.00498390732 0.0000930788 0.0000577954 6842935.221 6817042.667 6836203.503 271.78255 481.20402 161.39801 0.0002948742 172.53231 326.002 0.113195 869.254 275.233 0.00253727756 0.00502835381 0.0000929405 0.0000585414 6810692.138 6784917.625 6803775.470 274.57142 467.81111 160.23060 0.0002954820 176.66224 327.001 0.113542 868.100 275.023 0.00252472279 0.00507240492 0.0000927893 0.0000592849 6779032.634 6753378.974 6771933.244 277.37803 454.36999 159.08428 0.0002960742 180.66747 328.000 0.113889 866.964 274.818 0.00251198832 0.00511605715 0.0000926250 0.0000600256 6747955.726 6722425.610 6740675.934 280.20203 440.88365 157.95902 0.0002966507 184.54813 329.003 0.114237 865.842 274.617 0.00249904100 0.00515943129 0.0000924474 0.0000607655 6717373.273 6691969.640 6709914.968 283.05126 427.31597 156.85162 0.0002972129 188.31500 330.002 0.114584 864.742 274.421 0.00248595950 0.00520227491 0.0000922574 0.0000615001 6687459.827 6662184.772 6679826.002 285.90900 413.74777 155.76842 0.0002977575 191.94658 331.001 0.114931 863.659 274.229 0.00247271101 0.00524471030 0.0000920546 0.0000622312 6658125.368 6632981.231 6650318.562 288.78302 400.14292 154.70615 0.0002982858 195.45405 332.001 0.115278 862.594 274.042 0.00245929964 0.00528673469 0.0000918391 0.0000629587 6629368.496 6604357.510 6621391.315 291.67292 386.50415 153.66477 0.0002987978 198.83762 333.003 0.115626 861.544 273.858 0.00244569007 0.00532846477 0.0000916103 0.0000636844 6601107.352 6576232.033 6592961.975 294.58671 372.79469 152.64131 0.0002992946 202.10671 334.002 0.115973 860.516 273.680 0.00243196451 0.00536965824 0.0000913695 0.0000644039 6573502.794 6548764.775 6565192.417 297.50722 359.09594 151.64161 0.0002997733 205.24275 335.002 0.116320 859.506 273.506 0.00241808796 0.00541043327 0.0000911162 0.0000651191 6546471.154 6521872.358 6537998.533 300.44238 345.37110 150.66263 0.0003002352 208.25558 336.001 0.116667 858.514 273.336 0.00240406426 0.00545078768 0.0000908505 0.0000658297 6520010.743 6495552.992 6511378.670 303.39175 331.62266 149.70432 0.0003006802 211.14545 337.000 0.117014 857.541 273.171 0.00238989716 0.00549071938 0.0000905724 0.0000665356 6494119.812 6469804.837 6485331.117 306.35489 317.85307 148.76660 0.0003011080 213.91263 338.003 0.117362 856.584 273.010 0.00237554895 0.00553033966 0.0000902812 0.0000672386 6468724.405 6444554.265 6459781.509 309.33994 304.02494 147.84682 0.0003015198 216.56486 339.002 0.117709 855.649 272.853 0.00236110573 0.00556941897 0.0000899786 0.0000679344 6443968.624 6419944.458 6434874.863 312.32928 290.22009 146.95018 0.0003019130 219.08720 340.001 0.118056 854.732 272.701 0.00234653005 0.00560807003 0.0000896640 0.0000686248 6419776.797 6395900.075 6410535.081 315.33100 276.40110 146.07395 0.0003022888 221.48778 341.001 0.118403 853.834 272.554 0.00233182543 0.00564629121 0.0000893373 0.0000693096 6396147.009 6372419.119 6386760.268 318.34463 262.57021 145.21805 0.0003026469 223.76690 342.003 0.118751 852.952 272.411 0.00231695240 0.00568418922 0.0000889978 0.0000699906 6373011.643 6349434.330 6363482.418 321.37839 248.68969 144.38005 0.0003029883 225.93097 343.002 0.119098 852.093 272.272 0.00230199987 0.00572154478 0.0000886474 0.0000706635 6350501.689 6327075.759 6340833.355 324.41437 234.84148 143.56468 0.0003033109 227.96789 344.002 0.119445 851.252 272.138 0.00228692860 0.00575846604 0.0000882853 0.0000713303 6328547.878 6305274.497 6318743.405 327.46076 220.98780 142.76945 0.0003036157 229.88443 345.001 0.119792 850.431 272.009 0.00227174189 0.00579495167 0.0000879117 0.0000719907 6307148.216 6284028.478 6297210.583 330.51704 207.13071 141.99426 0.0003039024 231.68095 346.000 0.120139 849.629 271.883 0.00225644296 0.00583100042 0.0000875266 0.0000726444 6286300.696 6263335.633 6276232.888 333.58270 193.27223 141.23907 0.0003041710 233.35783 347.003 0.120487 848.844 271.763 0.00224099044 0.00586671308 0.0000871290 0.0000732932 6265945.611 6243136.640 6255750.253 336.66608 179.37441 140.50169 0.0003044222 234.91980 348.002 0.120834 848.080 271.646 0.00222547627 0.00590188326 0.0000867214 0.0000739330 6246197.930 6223545.510 6235878.382 339.74892 165.51906 139.78630 0.0003046544 236.35826 349.001 0.121181 847.336 271.535 0.00220985926 0.00593661313 0.0000863026 0.0000745657 6226996.365 6204501.345 6216555.617 342.83955 151.66815 139.09069 0.0003048683 237.67829 350.001 0.121528 846.612 271.428 0.00219414246 0.00597090164 0.0000858728 0.0000751910 6208338.920 6186002.095 6197779.960 345.93740 137.82355 138.41476 0.0003050638 238.88032 351.003 0.121876 845.905 271.325 0.00217828311 0.00600484468 0.0000854309 0.0000758105 6190172.186 6167994.754 6179497.669 349.05089 123.94723 137.75660 0.0003052414 239.96771 352.002 0.122223 845.220 271.227 0.00216237531 0.00603824619 0.0000849796 0.0000764203 6172598.594 6150580.789 6161811.836 352.16155 110.12076 137.11991 0.0003053999 240.93465 353.002 0.122570 844.554 271.133 0.00214637649 0.00607120342 0.0000845177 0.0000770223 6155563.208 6133705.673 6144667.185 355.27777 96.30602 136.50270 0.0003055400 241.78489 354.001 0.122917 843.909 271.044 0.00213028950 0.00610371544 0.0000840454 0.0000776160 6139064.099 6117367.428 6128061.776 358.39896 82.50476 135.90491 0.0003056614 242.51885 355.000 0.123264 843.283 270.959 0.00211411713 0.00613578134 0.0000835628 0.0000782015 6123099.359 6101564.106 6111993.697 361.52457 68.71870 135.32646 0.0003057642 243.13701 356.003 0.123612 842.674 270.879 0.00209781518 0.00616749072 0.0000830686 0.0000787801 6107623.406 6086250.545 6096417.070 364.66302 54.90987 134.76570 0.0003058486 243.64109 357.002 0.123959 842.088 270.804 0.00208148003 0.00619866047 0.0000825658 0.0000793483 6092723.327 6071512.863 6081419.554 367.79570 41.15930 134.22579 0.0003059141 244.02868 358.001 0.124306 841.521 270.733 0.00206506765 0.00622938148 0.0000820532 0.0000799077 6078352.069 6057304.433 6066953.792 370.93102 27.42894 133.70502 0.0003059609 244.30184 359.001 0.124653 840.975 270.667 0.00204858066 0.00625965288 0.0000815309 0.0000804580 6064507.852 6043623.437 6053017.994 374.06839 13.72041 133.20333 0.0003059889 244.46107 360.003 0.125001 840.446 270.605 0.00203197384 0.00628955911 0.0000809976 0.0000810007 6051151.306 6030430.944 6039572.530 377.21625 -0.00410 132.71929 0.0003059983 244.50681 Engine speed (Hz) = 8.0000000000 Output power (W) = 1956.0542236080 Heat into heater (W) = 3017.7300026000 Heat to regenerator (W) = -0.0328071966 Heat removal from cooler (W) = 1061.7543524319 Approximate Pumping loss (W) = -46.2132102370 Thermal efficiency (%) = 64.8187287107 The average engine pressure (Pa) = 8436983.9662110955 The exp space work per cycle (J) = 377.2089360287 The comp space work per cycle (J) = -132.7021580777 The net work per cycle (J) = 244.5067779510 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -905.6235825161 The expansion work for Vmin-to-Vmax (J) = 1150.1303604671 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 840.702 270.629 0.00203265463 0.00628780524 0.0000809982 0.0000810001 6054974.890 6029342.146 6040657.400 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000310 840.194 270.572 0.00201599309 0.00631724778 0.0000804560 0.0000815329 6042160.177 6016730.001 6027736.039 3.14218 -13.68936 -0.46517 0.0003059889 -0.07023 2.001 0.000618 839.708 270.520 0.00199931836 0.00634614360 0.0000799064 0.0000820544 6029907.597 6004679.718 6015380.735 6.27443 -27.30805 -0.90996 0.0003059608 -0.25257 3.002 0.000927 839.241 270.472 0.00198252468 0.00637467942 0.0000793460 0.0000825679 6018135.976 5993111.398 6003509.635 9.41649 -40.94297 -1.33732 0.0003059139 -0.54771 4.003 0.001236 838.793 270.429 0.00196566857 0.00640275978 0.0000787767 0.0000830715 6006884.372 5982063.403 5992162.126 12.55757 -54.54830 -1.74583 0.0003058482 -0.95474 5.001 0.001544 838.367 270.391 0.00194880730 0.00643029508 0.0000782006 0.0000835635 5996185.164 5971567.418 5981370.866 15.68686 -68.07863 -2.13432 0.0003057641 -1.47129 6.002 0.001853 837.960 270.357 0.00193183383 0.00645746316 0.0000776141 0.0000840470 5985967.408 5961553.783 5971064.302 18.82408 -81.62032 -2.50535 0.0003056610 -2.10021 7.000 0.002161 837.574 270.328 0.00191486038 0.00648408721 0.0000770211 0.0000845186 5976295.827 5952085.866 5961307.721 21.94827 -95.08421 -2.85659 0.0003055397 -2.83690 8.001 0.002470 837.206 270.303 0.00189777910 0.00651033910 0.0000764181 0.0000849813 5967106.254 5943100.789 5952036.392 25.07909 -108.55625 -3.19036 0.0003053994 -3.68564 9.003 0.002779 836.859 270.283 0.00188064737 0.00653613062 0.0000758071 0.0000854334 5958429.609 5934628.779 5943281.508 28.20574 -121.99119 -3.50553 0.0003052405 -4.64369 10.000 0.003087 836.533 270.267 0.00186352318 0.00656137945 0.0000751903 0.0000858733 5950290.233 5926693.483 5935067.634 31.31749 -135.34425 -3.80123 0.0003050636 -5.70689 11.002 0.003396 836.226 270.257 0.00184629764 0.00658624846 0.0000745639 0.0000863038 5942634.073 5919242.141 5927340.226 34.43387 -148.70067 -4.07942 0.0003048677 -6.88160 12.003 0.003705 835.939 270.250 0.00182902854 0.00661065378 0.0000739300 0.0000867233 5935487.239 5912300.168 5920125.632 37.54414 -162.01559 -4.33914 0.0003046533 -8.16403 13.001 0.004013 835.674 270.249 0.00181177425 0.00663451750 0.0000732910 0.0000871304 5928869.309 5905886.452 5913443.625 40.63759 -175.24466 -4.57970 0.0003044214 -9.54895 14.002 0.004322 835.427 270.252 0.00179442495 0.00665799336 0.0000726429 0.0000875275 5922736.288 5899958.288 5907249.785 43.73365 -188.47234 -4.80267 0.0003041704 -11.04482 15.003 0.004631 835.201 270.259 0.00177703883 0.00668100185 0.0000719880 0.0000879133 5917109.516 5894536.328 5901565.664 46.82159 -201.65415 -5.00730 0.0003039013 -12.64677 16.001 0.004939 834.995 270.271 0.00175967455 0.00670346947 0.0000713286 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7998748.132 8031249.101 199.23628 832.39158 205.00399 0.0002714495 -2.17705 297.003 0.091668 909.649 283.292 0.00280163744 0.00359827861 0.0000916116 0.0000367999 7983931.733 7949963.171 7982292.749 201.43308 822.04015 203.24156 0.0002724115 5.50267 298.001 0.091976 908.084 282.947 0.00279649872 0.00365118403 0.0000918394 0.0000375224 7935844.568 7901857.576 7934001.466 203.64319 811.55285 201.50307 0.0002733619 13.04341 299.002 0.092285 906.524 282.605 0.00279100971 0.00370408435 0.0000920553 0.0000382512 7888124.070 7854126.101 7886069.489 205.88114 800.86696 199.77752 0.0002743065 20.49316 300.003 0.092594 904.975 282.270 0.00278519255 0.00375679425 0.0000922584 0.0000389837 7840933.876 7806932.443 7838661.768 208.13996 790.02159 198.07084 0.0002752421 27.82633 301.001 0.092902 903.442 281.940 0.00277907360 0.00380913141 0.0000924481 0.0000397172 7794430.319 7760432.871 7791935.995 210.41237 779.05779 196.38871 0.0002761653 35.01890 302.002 0.093211 901.915 281.614 0.00277261905 0.00386142344 0.0000926255 0.0000404563 7748317.201 7714331.148 7745595.118 212.71323 767.90949 194.72044 0.0002770818 42.11678 303.000 0.093519 900.405 281.295 0.00276587657 0.00391332019 0.0000927894 0.0000411960 7702898.317 7668930.916 7699944.967 215.02776 756.65387 193.07704 0.0002779854 49.07326 304.001 0.093828 898.902 280.980 0.00275880822 0.00396514737 0.0000929410 0.0000419408 7657883.688 7623942.216 7654694.589 217.37105 745.22279 191.44802 0.0002788818 55.93281 305.002 0.094137 897.412 280.669 0.00275144125 0.00401672525 0.0000930795 0.0000426882 7613426.234 7579517.805 7609998.151 219.73567 733.65743 189.83895 0.0002797676 62.67200 306.000 0.094445 895.939 280.365 0.00274380670 0.00406787778 0.0000932045 0.0000434354 7569671.293 7535802.753 7566002.254 222.11390 722.00063 188.25510 0.0002806399 69.26900 307.002 0.094754 894.474 280.064 0.00273586073 0.00411892717 0.0000933168 0.0000441871 7526338.554 7492516.871 7522425.471 224.52121 710.18137 186.68634 0.0002815040 75.76607 308.003 0.095063 893.023 279.768 0.00272763335 0.00416969736 0.0000934160 0.0000449407 7483574.463 7449806.339 7479415.452 226.94988 698.24192 185.13797 0.0002823567 82.14109 309.001 0.095371 891.589 279.478 0.00271915816 0.00422001631 0.0000935018 0.0000456935 7441517.773 7407809.551 7437112.155 229.39194 686.22597 183.61506 0.0002831953 88.37353 310.002 0.095680 890.165 279.192 0.00271038571 0.00427020206 0.0000935746 0.0000464501 7399898.191 7366256.442 7395244.066 231.86319 674.05993 182.10780 0.0002840247 94.50344 311.003 0.095989 888.755 278.910 0.00270134859 0.00432008238 0.0000936342 0.0000472078 7358855.691 7325286.637 7353952.316 234.35566 661.78696 180.62130 0.0002848420 100.50999 312.001 0.096297 887.364 278.634 0.00269208278 0.00436948941 0.0000936804 0.0000479641 7318522.489 7285031.916 7313370.265 236.86111 649.45154 179.16035 0.0002856445 106.37398 313.002 0.096606 885.983 278.362 0.00268253350 0.00441873636 0.0000937136 0.0000487234 7278638.590 7245232.622 7273236.625 239.39570 636.97771 177.71554 0.0002864370 112.13318 314.003 0.096915 884.617 278.094 0.00267273579 0.00446765504 0.0000937334 0.0000494833 7239337.532 7206021.870 7233686.039 241.95121 624.40944 176.29172 0.0002872167 117.76806 315.001 0.097223 883.270 277.832 0.00266272779 0.00451608182 0.0000937400 0.0000502409 7200745.051 7167524.904 7194845.331 244.51911 611.79186 174.89345 0.0002879809 123.26075 316.002 0.097532 881.935 277.574 0.00265244973 0.00456432459 0.0000937333 0.0000510009 7162611.681 7129492.700 7156463.689 247.11593 599.04692 173.51171 0.0002887343 128.64670 317.000 0.097840 880.619 277.320 0.00264197326 0.00461206484 0.0000937135 0.0000517583 7125185.136 7092172.141 7118790.680 249.72468 586.26092 172.15548 0.0002894718 133.89088 318.001 0.098149 879.314 277.071 0.00263123542 0.00465960660 0.0000936803 0.0000525176 7088223.061 7055321.384 7081582.583 252.36211 573.35459 170.81599 0.0002901980 139.02720 319.002 0.098458 878.026 276.826 0.00262027486 0.00470678860 0.0000936339 0.0000532763 7051848.386 7019062.847 7044963.347 255.01957 560.37296 169.49770 0.0002909102 144.03831 320.000 0.098766 876.758 276.586 0.00260913306 0.00475345453 0.0000935744 0.0000540316 7016176.240 6983511.087 7009049.089 257.68814 547.36199 168.20479 0.0002916060 148.90852 321.002 0.099075 875.502 276.350 0.00259774254 0.00479990228 0.0000935016 0.0000547882 6980975.058 6948435.148 6973606.862 260.38490 534.24069 166.92887 0.0002922898 153.66940 322.003 0.099384 874.262 276.119 0.00258614393 0.00484597486 0.0000934155 0.0000555434 6946361.501 6913951.138 6938754.294 263.10096 521.05462 165.67417 0.0002929589 158.30491 323.001 0.099692 873.043 275.892 0.00257438049 0.00489152039 0.0000933166 0.0000562945 6912444.460 6880167.342 6904601.203 265.82716 507.85012 164.44466 0.0002936111 162.80064 324.002 0.100001 871.838 275.670 0.00256238050 0.00493683025 0.0000932042 0.0000570463 6879003.257 6846863.781 6870925.531 268.58093 494.54471 163.23234 0.0002942505 167.18581 325.003 0.100310 870.649 275.451 0.00255018642 0.00498175177 0.0000930787 0.0000577959 6846148.372 6814150.350 6837838.671 271.35313 481.18439 162.04121 0.0002948747 171.44569 326.001 0.100618 869.481 275.238 0.00253784316 0.00502613756 0.0000929406 0.0000585409 6813982.562 6782129.170 6805444.248 274.13439 467.81578 160.87501 0.0002954815 175.56714 327.002 0.100927 868.327 275.029 0.00252527502 0.00507027211 0.0000927891 0.0000592857 6782296.095 6750591.295 6773531.168 276.94244 454.35512 159.72614 0.0002960748 179.57705 328.003 0.101236 867.190 274.824 0.00251252617 0.00511400716 0.0000926245 0.0000600278 6751193.367 6719640.506 6742204.683 279.76794 440.84876 158.59839 0.0002966523 183.46193 329.001 0.101544 866.074 274.624 0.00249964302 0.00515719979 0.0000924476 0.0000607645 6720771.107 6689372.877 6711562.336 282.60131 427.34353 157.49526 0.0002972121 187.20996 330.002 0.101853 864.973 274.428 0.00248654618 0.00520012733 0.0000922573 0.0000615003 6690830.561 6659590.516 6681404.037 285.46057 413.75461 156.40956 0.0002977576 190.84563 331.000 0.102161 863.893 274.237 0.00247332456 0.00524250898 0.0000920548 0.0000622304 6661564.222 6630484.752 6651923.771 288.32683 400.17273 155.34827 0.0002982852 194.34559 332.001 0.102470 862.827 274.050 0.00245989641 0.00528461714 0.0000918389 0.0000629592 6632780.653 6601865.056 6622928.790 291.21833 386.51244 154.30445 0.0002987981 197.73277 333.003 0.102779 861.780 273.868 0.00244630844 0.00532631090 0.0000916104 0.0000636841 6604574.330 6573825.256 6594514.341 294.12538 372.82046 153.28153 0.0002992944 200.99579 334.000 0.103087 860.754 273.690 0.00243260937 0.00536745484 0.0000913699 0.0000644026 6577032.186 6546451.605 6566768.078 297.03807 359.14386 152.28267 0.0002997725 204.12495 335.002 0.103396 859.743 273.516 0.00241871413 0.00540831377 0.0000911162 0.0000651191 6549973.751 6519564.607 6539508.261 299.97491 345.39639 151.30132 0.0003002352 207.14080 336.003 0.103705 858.751 273.347 0.00240467082 0.00544875122 0.0000908500 0.0000658310 6523487.688 6493252.259 6512824.272 302.92602 331.62493 150.34069 0.0003006810 210.03325 337.001 0.104013 857.780 273.182 0.00239052935 0.00548863626 0.0000905723 0.0000665359 6497655.200 6467595.077 6486797.982 305.88134 317.87659 149.40375 0.0003011082 212.79381 338.002 0.104322 856.825 273.022 0.00237620162 0.00552822591 0.0000902814 0.0000672381 6472306.748 6442424.550 6461258.634 308.85961 304.06449 148.48433 0.0003015195 215.44069 339.003 0.104631 855.889 272.866 0.00236173696 0.00556738812 0.0000899783 0.0000679352 6447525.284 6417822.957 6436289.850 311.85079 290.23560 147.58545 0.0003019134 217.96504 340.001 0.104939 854.974 272.715 0.00234718644 0.00560599645 0.0000896641 0.0000686246 6423386.389 6393865.184 6411967.827 314.84466 276.43704 146.70986 0.0003022886 220.35960 341.002 0.105248 854.076 272.567 0.00233245910 0.00564429996 0.0000893368 0.0000693106 6399731.408 6370393.652 6388132.748 317.86020 262.58144 145.85180 0.0003026474 222.64024 342.003 0.105557 853.196 272.425 0.00231760545 0.00568217101 0.0000889976 0.0000699908 6376637.685 6347485.025 6364862.579 320.88719 248.71579 145.01407 0.0003029885 224.79935 343.001 0.105865 852.338 272.287 0.00230267756 0.00571948765 0.0000886478 0.0000706628 6354175.284 6325208.668 6342227.954 323.91531 234.88717 144.19922 0.0003033106 226.83086 344.002 0.106174 851.497 272.153 0.00228758186 0.00575649078 0.0000882851 0.0000713308 6332196.368 6303417.863 6320079.932 326.96371 221.00789 143.40190 0.0003036159 228.74834 345.000 0.106482 850.678 272.024 0.00227241934 0.00579293956 0.0000879120 0.0000719902 6310841.215 6282251.588 6298559.897 330.01213 207.16984 142.62717 0.0003039022 230.53975 346.001 0.106791 849.875 271.900 0.00225709480 0.00582906940 0.0000875262 0.0000726451 6289969.159 6261570.321 6277526.118 333.07987 193.28519 141.86996 0.0003041713 232.21710 347.003 0.107100 849.091 271.779 0.00224166046 0.00586476004 0.0000871290 0.0000732932 6269648.423 6241441.596 6257047.367 336.15651 179.40086 141.13272 0.0003044222 233.77477 348.000 0.107408 848.330 271.664 0.00222616994 0.00589989693 0.0000867219 0.0000739321 6249940.104 6221925.808 6237185.235 339.23152 165.56372 140.41769 0.0003046541 235.20872 349.002 0.107717 847.585 271.552 0.00221052574 0.00593470713 0.0000863024 0.0000745660 6230714.227 6202894.162 6217808.750 342.32432 151.68585 139.72013 0.0003048684 236.52864 350.003 0.108026 846.860 271.446 0.00219478102 0.00596907478 0.0000858719 0.0000751923 6212033.673 6184408.847 6198981.297 345.42440 137.81406 139.04234 0.0003050642 237.73013 351.001 0.108334 846.157 271.344 0.00217899022 0.00600288977 0.0000854319 0.0000758091 6193954.281 6166524.999 6180759.168 348.52113 123.99505 138.38635 0.0003052410 238.81029 352.002 0.108643 845.471 271.246 0.00216305372 0.00603637070 0.0000849798 0.0000764201 6176356.690 6149124.465 6163022.071 351.63407 110.14090 137.74781 0.0003053999 239.77657 353.003 0.108952 844.805 271.153 0.00214702555 0.00606940607 0.0000845170 0.0000770231 6159298.526 6132264.178 6145828.095 354.75260 96.29829 137.12883 0.0003055401 240.62571 354.001 0.109260 844.160 271.064 0.00213096086 0.00610189021 0.0000840454 0.0000776160 6142830.461 6115994.108 6129228.325 357.86603 82.51370 136.53124 0.0003056614 241.35597 355.002 0.109569 843.534 270.980 0.00211475815 0.00613403312 0.0000835619 0.0000782025 6126843.662 6100206.653 6113113.064 360.99401 68.69936 135.95109 0.0003057644 241.97256 356.000 0.109877 842.929 270.901 0.00209852503 0.00616562588 0.0000830698 0.0000787786 6111439.737 6085002.081 6097584.743 364.11571 54.94638 135.39207 0.0003058484 242.47195 357.001 0.110186 842.341 270.826 0.00208215883 0.00619687273 0.0000825662 0.0000793479 6096516.821 6070279.769 6082540.678 367.25081 41.16712 134.85048 0.0003059140 242.85783 358.002 0.110495 841.774 270.755 0.00206571481 0.00622766948 0.0000820526 0.0000799083 6082123.975 6056088.085 6068030.328 370.38858 27.40792 134.32811 0.0003059609 243.12888 359.000 0.110803 841.228 270.689 0.00204924919 0.00625791777 0.0000815311 0.0000804578 6068303.439 6042468.570 6054096.285 373.51827 13.71486 133.82648 0.0003059889 243.28526 360.001 0.111112 840.701 270.628 0.00203265768 0.00628781315 0.0000809983 0.0000809999 6054963.733 6029331.004 6040646.319 376.65959 0.00061 133.34229 0.0003059983 243.32845 Engine speed (Hz) = 9.0000000000 Output power (W) = 2189.9556443897 Heat into heater (W) = 3389.9363329053 Heat to regenerator (W) = 0.0054527977 Heat removal from cooler (W) = 1200.0805715205 Approximate Pumping loss (W) = -64.2627768741 Thermal efficiency (%) = 64.6016747610 The average engine pressure (Pa) = 8437449.0496721845 The exp space work per cycle (J) = 376.6533174488 The comp space work per cycle (J) = -133.3249125166 The net work per cycle (J) = 243.3284049322 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -906.2032810282 The expansion work for Vmin-to-Vmax (J) = 1149.5316859604 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 840.980 270.654 0.00203334250 0.00628599941 0.0000809972 0.0000810011 6059100.831 6028091.128 6041787.634 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000278 840.475 270.598 0.00201674374 0.00631534859 0.0000804572 0.0000815317 6046339.385 6015573.036 6028897.183 3.12630 -13.64028 -0.46406 0.0003059889 -0.07277 2.002 0.000556 839.988 270.546 0.00200001750 0.00634435144 0.0000799060 0.0000820547 6034053.074 6003531.455 6016485.752 6.26417 -27.30360 -0.91087 0.0003059607 -0.25841 3.002 0.000834 839.520 270.499 0.00198322609 0.00637290027 0.0000793458 0.0000825680 6022287.310 5992010.870 6004599.209 9.40169 -40.93908 -1.33878 0.0003059138 -0.55637 4.003 0.001112 839.073 270.456 0.00196637200 0.00640099416 0.0000787767 0.0000830715 6011040.536 5981009.680 5993235.984 12.53825 -54.54519 -1.74786 0.0003058482 -0.96614 5.000 0.001389 838.648 270.418 0.00194951863 0.00642853353 0.0000782010 0.0000835631 6000348.913 5970563.117 5982432.619 15.66194 -68.07162 -2.13678 0.0003057641 -1.48514 6.001 0.001667 838.240 270.385 0.00193254673 0.00645571627 0.0000776147 0.0000840464 5990133.790 5960594.256 5972109.643 18.79469 -81.61450 -2.50841 0.0003056611 -2.11661 7.002 0.001945 837.853 270.356 0.00191551943 0.00648244114 0.0000770201 0.0000845194 5980433.286 5951140.293 5962305.573 21.92458 -95.12345 -2.86135 0.0003055395 -2.85835 8.003 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0.0000304939 8441557.165 8401132.139 8441279.637 182.03696 907.93661 220.40483 0.0002634939 -68.59702 289.001 0.080278 922.705 286.261 0.00283017440 0.00316761862 0.0000893378 0.0000311714 8389236.213 8348715.844 8388831.915 184.06841 899.19552 218.51672 0.0002645093 -60.07954 290.002 0.080556 921.069 285.867 0.00282792053 0.00322151834 0.0000896649 0.0000318572 8337168.907 8296559.056 8336618.903 186.12541 890.20751 216.63705 0.0002655222 -51.63581 291.002 0.080834 919.440 285.479 0.00282528510 0.00327536709 0.0000899800 0.0000325487 8285555.754 8244863.424 8284843.148 188.20102 881.00970 214.77312 0.0002665286 -43.29823 292.003 0.081112 917.819 285.098 0.00282227405 0.00332914727 0.0000902829 0.0000332455 8234407.132 8193639.923 8233516.468 190.29555 871.60795 212.92536 0.0002675284 -35.06819 293.000 0.081389 916.211 284.724 0.00281890613 0.00338264889 0.0000905726 0.0000339449 8183914.357 8143080.543 8182832.191 192.40167 862.04299 211.10073 0.0002685175 -26.97606 294.001 0.081667 914.606 284.355 0.00281516300 0.00343624184 0.0000908511 0.0000346519 8133722.233 8092829.950 8132434.926 194.53487 852.25147 209.28642 0.0002695030 -18.96466 295.002 0.081945 913.010 283.992 0.00281106214 0.00348971690 0.0000911172 0.0000353636 8084022.813 8043080.704 8082518.493 196.68783 842.27326 207.48943 0.0002704807 -11.06462 296.003 0.082223 911.422 283.635 0.00280660956 0.00354305873 0.0000913708 0.0000360798 8034824.516 7993841.402 8033092.335 198.86081 832.11397 205.71009 0.0002714506 -3.27707 297.004 0.082501 909.845 283.283 0.00280181124 0.00359625255 0.0000916118 0.0000368004 7986135.277 7945120.098 7984165.347 201.05403 821.77913 203.94872 0.0002724122 4.39689 298.001 0.082778 908.283 282.938 0.00279669228 0.00364909364 0.0000918394 0.0000375224 7938134.905 7897096.736 7935919.141 203.25969 811.31227 202.21186 0.0002733619 11.92925 299.002 0.083056 906.726 282.597 0.00279122166 0.00370194982 0.0000920552 0.0000382510 7890483.805 7849431.578 7888013.190 205.49388 800.64316 200.48724 0.0002743062 19.37344 300.002 0.083334 905.179 282.262 0.00278542322 0.00375461680 0.0000922583 0.0000389832 7843362.743 7802305.476 7840629.935 207.74886 789.81458 198.78144 0.0002752414 26.70114 301.003 0.083612 903.643 281.932 0.00277930290 0.00380708185 0.0000924485 0.0000397188 7796777.826 7755724.492 7793776.237 210.02475 778.83172 197.09471 0.0002761672 33.91149 302.000 0.083889 902.125 281.608 0.00277289033 0.00385914519 0.0000926252 0.0000404550 7750899.381 7709858.817 7747624.135 212.31338 767.73999 195.43324 0.0002770801 40.97838 303.001 0.084167 900.612 281.288 0.00276614505 0.00391117100 0.0000927896 0.0000411968 7705401.408 7664382.446 7701846.329 214.63136 756.46433 193.78523 0.0002779864 47.95209 304.002 0.084445 899.112 280.973 0.00275909550 0.00396295964 0.0000929411 0.0000419413 7660455.379 7619466.704 7656615.908 216.97055 745.04945 192.15694 0.0002788824 54.80618 305.003 0.084723 897.624 280.664 0.00275174748 0.00401450028 0.0000930795 0.0000426884 7616065.776 7575115.937 7611937.961 219.33101 733.50020 190.54853 0.0002797679 61.54000 306.004 0.085001 896.148 280.359 0.00274410676 0.00406578252 0.0000932049 0.0000434378 7572236.710 7531334.105 7567817.173 221.71276 721.82134 188.96018 0.0002806427 68.15293 307.001 0.085278 894.691 280.060 0.00273620806 0.00411661339 0.0000933167 0.0000441866 7529126.544 7488279.193 7524413.514 224.10714 710.06023 187.39765 0.0002815034 74.62129 308.002 0.085556 893.242 279.765 0.00272800001 0.00416735039 0.0000934159 0.0000449399 7486427.407 7445643.555 7481417.507 226.53144 698.13652 185.84980 0.0002823558 80.99126 309.002 0.085834 891.807 279.474 0.00271951623 0.00421780039 0.0000935019 0.0000456949 7444299.024 7403586.547 7438990.416 228.97702 686.09695 184.32242 0.0002831968 87.23879 310.003 0.086112 890.385 279.188 0.00271076227 0.00426795465 0.0000935747 0.0000464512 7402744.147 7362110.729 7397135.454 231.44383 673.94593 182.81564 0.0002840259 93.36344 311.000 0.086389 888.982 278.908 0.00270177654 0.00431762606 0.0000936341 0.0000472059 7361911.595 7321364.399 7356002.958 233.92283 661.73207 181.33487 0.0002848400 99.34346 312.001 0.086667 887.589 278.632 0.00269249961 0.00436716529 0.0000936804 0.0000479643 7321508.699 7281055.306 7315298.499 236.43183 649.37142 179.86951 0.0002856448 105.22167 313.002 0.086945 886.210 278.360 0.00268296882 0.00441638484 0.0000937136 0.0000487234 7281685.778 7241333.268 7275173.868 238.96182 636.91202 178.42503 0.0002864370 110.97593 314.003 0.087223 884.847 278.093 0.00267318950 0.00446527746 0.0000937334 0.0000494830 7242444.441 7202199.683 7235631.034 241.51267 624.35795 177.00148 0.0002872164 116.60598 315.004 0.087501 883.498 277.831 0.00266316691 0.00451383618 0.0000937400 0.0000502428 7203786.038 7163655.690 7196671.689 244.08424 611.71320 175.59895 0.0002879828 122.11157 316.001 0.087778 882.169 277.574 0.00265294358 0.00456188159 0.0000937334 0.0000509998 7165847.585 7125837.649 7158434.250 246.66702 599.02761 174.22240 0.0002887332 127.47335 317.002 0.088056 880.851 277.321 0.00264245081 0.00460975429 0.0000937135 0.0000517594 7128356.031 7088473.166 7120643.808 249.27948 586.21341 172.86194 0.0002894728 132.72986 318.002 0.088334 879.549 277.072 0.00263173015 0.00465727423 0.0000936803 0.0000525185 7091450.043 7051700.274 7083440.393 251.91214 573.31997 171.52262 0.0002901988 137.86137 319.003 0.088612 878.263 276.827 0.00262078661 0.00470443570 0.0000936339 0.0000532769 7055130.064 7015519.208 7046824.714 254.56479 560.35096 170.20446 0.0002909107 142.86778 320.000 0.088889 876.997 276.588 0.00260966565 0.00475106561 0.0000935744 0.0000540316 7019523.829 6980056.962 7010925.807 257.22757 547.35699 168.91210 0.0002916060 147.73165 321.001 0.089167 875.743 276.353 0.00259829182 0.00479749550 0.0000935016 0.0000547879 6984374.308 6945057.343 6975484.759 259.91945 534.24775 167.63622 0.0002922895 152.48805 322.002 0.089445 874.506 276.122 0.00258670968 0.00484355148 0.0000934156 0.0000555429 6949810.980 6910649.114 6940632.325 262.63059 521.07343 166.38153 0.0002929584 157.11918 323.003 0.089723 873.285 275.896 0.00257492396 0.00488922891 0.0000933164 0.0000562962 6915833.554 6876831.788 6906368.417 265.36074 507.83739 165.14803 0.0002936125 161.62502 324.004 0.090001 872.081 275.674 0.00256293932 0.00493452338 0.0000932040 0.0000570476 6882441.586 6843604.719 6872692.774 268.10961 494.54291 163.93571 0.0002942516 166.00560 325.001 0.090278 870.899 275.457 0.00255080449 0.00497926990 0.0000930790 0.0000577943 6849751.442 6811083.467 6839722.943 270.86690 481.24132 162.74879 0.0002948734 170.24589 326.002 0.090556 869.729 275.244 0.00253843637 0.00502378759 0.0000929405 0.0000585414 6817526.362 6779032.299 6807220.301 273.65221 467.83970 161.57870 0.0002954820 174.37657 327.002 0.090834 868.576 275.035 0.00252588286 0.00506791049 0.0000927890 0.0000592860 6785884.547 6747568.631 6775304.214 276.45529 454.38905 160.42972 0.0002960750 178.38220 328.003 0.091112 867.441 274.831 0.00251314836 0.00511163504 0.0000926245 0.0000600278 6754825.010 6716691.295 6743973.830 279.27580 440.89235 159.30182 0.0002966523 182.26291 329.000 0.091389 866.328 274.632 0.00250028392 0.00515480279 0.0000924478 0.0000607639 6724455.245 6686506.932 6713337.723 282.10315 427.40132 158.19892 0.0002972117 186.00553 330.001 0.091667 865.228 274.437 0.00248720091 0.00519772226 0.0000922575 0.0000614995 6694554.774 6656796.231 6683173.608 284.95738 413.82142 157.11302 0.0002977571 189.63726 331.002 0.091945 864.147 274.246 0.00247394961 0.00524023389 0.0000920545 0.0000622317 6665232.977 6627667.743 6653591.936 287.82795 400.20408 156.04808 0.0002982862 193.14452 332.003 0.092223 863.083 274.059 0.00246053414 0.00528233485 0.0000918386 0.0000629602 6636488.462 6599119.913 6624591.409 290.71446 386.55203 155.00406 0.0002987989 196.52752 333.004 0.092501 862.037 273.877 0.00244695855 0.00532402249 0.0000916101 0.0000636849 6608319.753 6571151.108 6596170.640 293.61651 372.86796 153.98091 0.0002992950 199.78647 334.001 0.092778 861.013 273.700 0.00243327648 0.00536514655 0.0000913698 0.0000644028 6580823.533 6543857.123 6568427.273 296.52316 359.20388 152.98215 0.0002997727 202.91054 335.002 0.093056 860.004 273.527 0.00241939304 0.00540600161 0.0000911162 0.0000651191 6553799.659 6517039.126 6541159.451 299.45499 345.46368 152.00051 0.0003002352 205.92254 336.002 0.093334 859.013 273.358 0.00240536120 0.00544643619 0.0000908501 0.0000658307 6527346.746 6490794.864 6514466.752 302.40109 331.69916 151.03957 0.0003006808 208.81121 337.003 0.093612 858.041 273.194 0.00239118474 0.00548644818 0.0000905716 0.0000665377 6501463.058 6465122.464 6488347.493 305.36102 317.91276 150.09928 0.0003011092 211.57685 338.000 0.093889 857.091 273.035 0.00237691913 0.00552589394 0.0000902818 0.0000672371 6476236.858 6440109.282 6462890.813 308.32360 304.15658 149.18284 0.0003015189 214.21045 339.001 0.094167 856.156 272.879 0.00236246502 0.00556505639 0.0000899788 0.0000679339 6451484.184 6415572.764 6437911.128 311.30977 290.33365 148.28357 0.0003019127 216.73134 340.002 0.094445 855.240 272.728 0.00234787725 0.00560379058 0.0000896637 0.0000686253 6427295.257 6391602.244 6413499.536 314.30838 276.49590 147.40475 0.0003022890 219.13009 341.003 0.094723 854.342 272.582 0.00233315937 0.00564209480 0.0000893366 0.0000693111 6403668.176 6368195.700 6389654.168 317.31896 262.64558 146.54632 0.0003026477 221.40705 342.004 0.095001 853.464 272.440 0.00231831484 0.00567996748 0.0000889975 0.0000699911 6380601.014 6345351.091 6366373.124 320.34100 248.78490 145.70820 0.0003029886 223.56255 343.001 0.095278 852.608 272.303 0.00230340115 0.00571727318 0.0000886479 0.0000706626 6358171.793 6323145.515 6343735.193 323.36310 234.96592 144.89323 0.0003033105 225.58984 344.002 0.095556 851.768 272.169 0.00228831398 0.00575427985 0.0000882853 0.0000713303 6336216.606 6301416.578 6321574.981 326.40655 221.09098 144.09547 0.0003036157 227.50393 345.002 0.095834 850.947 272.041 0.00227311025 0.00579085065 0.0000879112 0.0000719916 6314815.450 6280243.368 6299973.258 329.45997 207.21203 143.31780 0.0003039028 229.29765 346.003 0.096112 850.145 271.917 0.00225779321 0.00582698429 0.0000875255 0.0000726463 6293966.335 6259623.798 6278928.048 332.52283 193.33111 142.56018 0.0003041718 230.97138 347.000 0.096389 849.365 271.797 0.00224242175 0.00586255191 0.0000871299 0.0000732918 6273739.306 6239626.985 6258510.083 335.58353 179.50015 141.82513 0.0003044217 232.52014 348.001 0.096667 848.602 271.682 0.00222688803 0.00589780915 0.0000867217 0.0000739326 6253986.334 6220106.473 6238569.958 338.66365 165.62123 141.10728 0.0003046542 233.95552 349.002 0.096945 847.859 271.571 0.00221125044 0.00593262568 0.0000863023 0.0000745662 6234779.440 6201133.369 6219180.395 341.75161 151.74622 140.40926 0.0003048684 235.27213 350.003 0.097223 847.134 271.465 0.00219551203 0.00596700041 0.0000858719 0.0000751923 6216116.646 6182705.611 6200339.414 344.84686 137.87699 139.73099 0.0003050642 236.47037 351.004 0.097501 846.430 271.364 0.00217967579 0.00600093229 0.0000854306 0.0000758109 6197995.984 6164821.154 6182045.044 347.94885 124.01542 139.07239 0.0003052415 237.55067 352.001 0.097778 845.747 271.267 0.00216380216 0.00603430064 0.0000849803 0.0000764195 6180477.774 6147539.386 6164358.201 351.04582 110.21313 138.43566 0.0003053997 238.51023 353.002 0.098056 845.082 271.174 0.00214777941 0.00606734541 0.0000845177 0.0000770223 6163433.602 6130733.528 6147149.247 354.15958 96.37226 137.81614 0.0003055400 239.35640 354.002 0.098334 844.436 271.086 0.00213166754 0.00609994437 0.0000840447 0.0000776169 6146925.768 6114464.960 6130481.088 357.27838 82.54442 137.21609 0.0003056616 240.08596 355.003 0.098612 843.810 271.002 0.00211546938 0.00613209659 0.0000835613 0.0000782031 6130952.383 6098731.727 6114351.827 360.40164 68.73134 136.63543 0.0003057645 240.69936 356.000 0.098889 843.206 270.923 0.00209924641 0.00616368789 0.0000830696 0.0000787788 6115566.175 6083585.627 6098814.717 363.51752 54.98433 136.07610 0.0003058485 241.19549 357.001 0.099167 842.619 270.849 0.00208288422 0.00619494547 0.0000825662 0.0000793479 6100654.227 6068915.414 6083755.740 366.64794 41.20583 135.53397 0.0003059140 241.57838 358.002 0.099445 842.053 270.779 0.00206644394 0.00622575357 0.0000820528 0.0000799081 6086271.243 6054774.869 6069230.139 369.78106 27.44714 135.01105 0.0003059609 241.84652 359.003 0.099723 841.506 270.713 0.00204992822 0.00625611128 0.0000815298 0.0000804592 6072415.457 6041162.173 6055236.136 372.91628 13.70992 134.50727 0.0003059890 242.00038 360.004 0.100001 840.979 270.653 0.00203333967 0.00628601771 0.0000809972 0.0000810011 6059085.144 6028075.546 6041771.991 376.05299 -0.00422 134.02256 0.0003059983 242.04045 Engine speed (Hz) = 10.0000000000 Output power (W) = 2420.4039127286 Heat into heater (W) = 3760.5299364961 Heat to regenerator (W) = -0.0422263735 Heat removal from cooler (W) = 1340.2255794774 Approximate Pumping loss (W) = -86.3065284708 Thermal efficiency (%) = 64.3633730778 The average engine pressure (Pa) = 8437969.8311000671 The exp space work per cycle (J) = 376.0435447337 The comp space work per cycle (J) = -134.0031534608 The net work per cycle (J) = 242.0403912729 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -906.8371162173 The expansion work for Vmin-to-Vmax (J) = 1148.8775074902 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 841.284 270.681 0.00203413615 0.00628395342 0.0000809978 0.0000810005 6063614.057 6026768.959 6043053.727 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.000 0.000253 840.779 270.625 0.00201752214 0.00631334901 0.0000804574 0.0000815315 6050846.133 6014289.429 6030131.774 3.12480 -13.65560 -0.46519 0.0003059889 -0.07583 2.002 0.000506 840.291 270.574 0.00200077417 0.00634240833 0.0000799056 0.0000820551 6038549.043 6002282.507 6017685.230 6.26230 -27.33935 -0.91327 0.0003059607 -0.26480 3.000 0.000758 839.826 270.527 0.00198402715 0.00637090070 0.0000793470 0.0000825669 6026818.417 5990841.475 6005810.892 9.38708 -40.94151 -1.34074 0.0003059140 -0.56492 4.002 0.001011 839.378 270.485 0.00196715066 0.00639905130 0.0000787773 0.0000830709 6015559.612 5979873.933 5994412.958 12.52332 -54.56847 -1.75107 0.0003058483 -0.97807 5.000 0.001263 838.953 270.448 0.00195028058 0.00642663665 0.0000782012 0.0000835630 6004860.142 5969465.042 5983580.026 15.64561 -68.11098 -2.14105 0.0003057642 -1.50047 6.002 0.001516 838.545 270.415 0.00193328544 0.00645387466 0.0000776143 0.0000840468 5994633.643 5959530.693 5973224.659 18.77809 -81.67498 -2.51385 0.0003056611 -2.13577 7.004 0.001769 838.158 270.387 0.00191623450 0.00648065396 0.0000770190 0.0000845203 5984922.196 5950111.765 5963389.459 21.90773 -95.20516 -2.86791 0.0003055392 -2.88158 8.002 0.002021 837.792 270.363 0.00189919786 0.00650687038 0.0000764179 0.0000849814 5975759.796 5941241.048 5954108.868 25.02154 -108.64674 -3.20201 0.0003053993 -3.73380 9.004 0.002274 837.444 270.344 0.00188204266 0.00653273092 0.0000758064 0.0000854339 5967072.437 5932846.803 5945307.926 28.14359 -122.10489 -3.51885 0.0003052403 -4.69864 10.002 0.002526 837.118 270.329 0.00186490686 0.00655803004 0.0000751896 0.0000858738 5958927.562 5924994.111 5937054.961 31.24854 -135.47175 -3.81596 0.0003050634 -5.76798 11.003 0.002779 836.811 270.319 0.00184765676 0.00658296739 0.0000745627 0.0000863046 5951259.351 5917619.424 5929283.282 34.36041 -148.85192 -4.09574 0.0003048673 -6.94975 12.001 0.003031 836.525 270.314 0.00183043103 0.00660734467 0.0000739309 0.0000867227 5944127.304 5910779.879 5922053.198 37.45392 -162.13816 -4.35602 0.0003046537 -8.23408 13.003 0.003284 836.258 270.314 0.00181309521 0.00663135414 0.0000732894 0.0000871314 5937473.755 5904420.085 5915306.252 40.55296 -175.43445 -4.59891 0.0003044208 -9.63062 14.001 0.003536 836.012 270.317 0.00179578862 0.00665480474 0.0000726434 0.0000875272 5931350.301 5898589.272 5909094.771 43.63239 -188.63422 -4.82252 0.0003041706 -11.12779 15.003 0.003789 835.785 270.326 0.00177837613 0.00667788130 0.0000719880 0.0000879133 5925707.399 5893240.175 5903368.504 46.71597 -201.84076 -5.02867 0.0003039013 -12.73693 16.001 0.004041 835.580 270.339 0.00176099761 0.00670040003 0.0000713286 0.0000882863 5920588.778 5888414.154 5898171.834 49.77866 -214.94823 -5.21575 0.0003036149 -14.44476 17.003 0.004294 835.393 270.357 0.00174351736 0.00672253827 0.0000706601 0.0000886492 5915952.993 5884072.041 5893462.691 52.84408 -228.05919 -5.38528 0.0003033093 -16.26428 18.001 0.004546 835.227 270.380 0.00172607575 0.00674411957 0.0000699881 0.0000889990 5911835.936 5880247.359 5889277.541 55.88734 -241.06854 -5.53594 0.0003029871 -18.18055 19.003 0.004799 835.081 270.407 0.00170853656 0.00676531369 0.0000693073 0.0000893384 5908204.237 5876909.009 5885582.474 58.93189 -254.07807 -5.66897 0.0003026458 -20.20821 20.001 0.005051 834.955 270.438 0.00169104059 0.00678595156 0.0000686235 0.0000896646 5905085.978 5874082.705 5882406.069 61.95299 -266.98347 -5.78332 0.0003022881 -22.33067 21.002 0.005304 834.849 270.475 0.00167345119 0.00680619533 0.0000679313 0.0000899800 5902455.845 5871745.397 5879722.552 64.97392 -279.88571 -5.87992 0.0003019113 -24.56419 22.000 0.005556 834.764 270.516 0.00165590954 0.00682588332 0.0000672365 0.0000902821 5900334.130 5869915.010 5877552.639 67.97012 -292.68131 -5.95804 0.0003015186 -26.89056 23.002 0.005809 834.698 270.562 0.00163827859 0.00684517004 0.0000665338 0.0000905731 5898703.559 5868576.526 5875878.678 70.96466 -305.47035 -6.01830 0.0003011069 -29.32764 24.000 0.006061 834.652 270.612 0.00162069988 0.00686390124 0.0000658289 0.0000908508 5897576.656 5867740.100 5874713.538 73.93317 -318.15026 -6.06025 0.0003006797 -31.85559 25.002 0.006314 834.627 270.667 0.00160303604 0.00688222371 0.0000651164 0.0000911172 5896944.172 5867398.727 5874047.676 76.89852 -330.82017 -6.08422 0.0003002336 -34.49388 26.004 0.006567 834.621 270.727 0.00158535896 0.00690006022 0.0000643994 0.0000913710 5896811.330 5867556.412 5873886.485 79.84818 -343.42815 -6.09002 0.0002997704 -37.23208 27.002 0.006819 834.636 270.791 0.00156774074 0.00691734118 0.0000636809 0.0000916114 5897175.529 5868209.339 5874227.454 82.76987 -355.92320 -6.07775 0.0002992923 -40.05818 28.004 0.007072 834.671 270.860 0.00155004372 0.00693420165 0.0000629555 0.0000918401 5898039.556 5869362.514 5875073.199 85.68608 -368.40299 -6.04730 0.0002987955 -42.99400 29.002 0.007324 834.726 270.933 0.00153240992 0.00695050623 0.0000622290 0.0000920552 5899396.544 5871006.710 5876417.011 88.57304 -380.76732 -5.99892 0.0002982843 -46.01572 30.003 0.007577 834.801 271.012 0.00151470158 0.00696638210 0.0000614960 0.0000922585 5901257.296 5873154.924 5878269.603 91.45293 -393.11279 -5.93223 0.0002977545 -49.14671 31.001 0.007829 834.895 271.095 0.00149706084 0.00698170150 0.0000607625 0.0000924481 5903607.199 5875790.186 5880616.443 94.30228 -405.34023 -5.84774 0.0002972107 -52.36161 32.003 0.008082 835.010 271.183 0.00147934986 0.00699658364 0.0000600229 0.0000926257 5906465.071 5878933.484 5883476.342 97.14296 -417.54513 -5.74479 0.0002966486 -55.68528 33.001 0.008334 835.145 271.275 0.00146171084 0.00701090846 0.0000592832 0.0000927896 5909808.549 5882560.102 5886826.942 99.95180 -429.62941 -5.62416 0.0002960728 -59.09084 34.003 0.008587 835.300 271.372 0.00144400597 0.00702478713 0.0000585379 0.0000929412 5913664.469 5886699.017 5890695.157 102.75037 -441.68738 -5.48491 0.0002954791 -62.60467 35.001 0.008839 835.475 271.474 0.00142637741 0.00703810737 0.0000577929 0.0000930793 5918002.715 5891317.761 5895050.795 105.51579 -453.62209 -5.32811 0.0002948722 -66.19834 36.003 0.009092 835.670 271.580 0.00140868746 0.00705097223 0.0000570427 0.0000932048 5922858.150 5896453.304 5899928.882 108.26929 -465.52663 -5.15249 0.0002942475 -69.89973 37.001 0.009344 835.885 271.691 0.00139107818 0.00706327726 0.0000562934 0.0000933167 5928192.887 5902065.415 5905291.379 110.98836 -477.30524 -4.95944 0.0002936101 -73.67892 38.003 0.009597 836.120 271.807 0.00137341207 0.00707511729 0.0000555393 0.0000934160 5934049.831 5908199.060 5911181.437 113.69384 -489.04970 -4.74740 0.0002929553 -77.56524 39.001 0.009849 836.374 271.927 0.00135583103 0.00708639583 0.0000547865 0.0000935018 5940383.310 5914806.231 5917553.153 116.36360 -500.66550 -4.51802 0.0002922883 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5966564.596 131.85544 -568.71413 -2.75361 0.0002879770 -107.24225 46.002 0.011617 838.714 272.903 0.00123310589 0.00715081859 0.0000494794 0.0000937333 5998907.620 5975181.736 5976495.815 134.32899 -579.70455 -2.39608 0.0002872127 -111.82262 47.004 0.011870 839.128 273.061 0.00121566129 0.00715789187 0.0000487190 0.0000937134 6009311.064 5985837.545 5986981.033 136.78119 -590.64152 -2.01862 0.0002864324 -116.50692 48.002 0.012122 839.561 273.223 0.00119832207 0.00716439254 0.0000479621 0.0000936803 6020181.621 5996955.532 5997938.605 139.19190 -601.43666 -1.62414 0.0002856424 -121.25736 49.004 0.012375 840.015 273.391 0.00118095314 0.00717036839 0.0000472029 0.0000936338 6031606.837 6008624.869 6009456.809 141.57949 -612.17368 -1.20949 0.0002848367 -126.11090 50.001 0.012627 840.486 273.563 0.00116369430 0.00717576832 0.0000464476 0.0000935744 6043497.725 6020754.262 6021445.962 143.92432 -622.76573 -0.77788 0.0002840219 -131.02837 51.003 0.012880 840.979 273.740 0.00114641113 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0.00267367201 0.00446272694 0.0000937334 0.0000494830 7245786.955 7198046.607 7237721.753 241.04852 624.25304 177.76828 0.0002872164 115.34930 315.001 0.079546 883.752 277.831 0.00266369434 0.00451113822 0.0000937400 0.0000502406 7207287.505 7159680.807 7198866.058 243.60859 611.65493 176.36948 0.0002879806 120.83617 316.003 0.079799 882.419 277.573 0.00265343865 0.00455940221 0.0000937333 0.0000510012 7169218.463 7121753.582 7160440.345 246.19936 598.91968 174.98615 0.0002887345 126.22013 317.001 0.080051 881.107 277.321 0.00264299109 0.00460713112 0.0000937135 0.0000517586 7131881.611 7084565.346 7122749.573 248.80018 586.15175 173.62928 0.0002894720 131.45843 318.002 0.080304 879.805 277.073 0.00263227379 0.00465469774 0.0000936803 0.0000525185 7094981.255 7047821.337 7085495.576 251.43149 573.25355 172.28814 0.0002901988 136.59251 319.000 0.080556 878.524 276.830 0.00262137644 0.00470172035 0.0000936340 0.0000532747 7058809.517 7011812.196 7048973.586 254.07229 560.33068 170.97335 0.0002909087 141.58166 320.002 0.080809 877.255 276.590 0.00261021747 0.00474856671 0.0000935743 0.0000540330 7023079.545 6976252.118 7012894.269 256.74332 547.28414 169.67449 0.0002916073 146.46540 321.000 0.081061 876.006 276.356 0.00259888992 0.00479486137 0.0000935017 0.0000547871 6988073.830 6941422.011 6977543.153 259.42323 534.22056 168.40185 0.0002922888 151.20506 322.002 0.081314 874.769 276.125 0.00258730867 0.00484096683 0.0000934156 0.0000555429 6953514.416 6907045.073 6942639.796 262.13303 521.03967 167.14533 0.0002929584 155.83823 323.004 0.081567 873.549 275.899 0.00257552299 0.00488669397 0.0000933162 0.0000562970 6919541.073 6873260.155 6908325.587 264.86185 507.79655 165.91002 0.0002936132 160.34585 324.002 0.081819 872.350 275.679 0.00256358530 0.00493185989 0.0000932042 0.0000570463 6886284.159 6840196.603 6874732.435 267.59852 494.54717 164.70067 0.0002942505 164.71088 325.004 0.082072 871.164 275.462 0.00255140545 0.00497681887 0.0000930786 0.0000577965 6853479.128 6807591.180 6841593.333 270.36445 481.18959 163.50766 0.0002948751 168.96799 326.002 0.082324 869.999 275.250 0.00253908419 0.00502121154 0.0000929405 0.0000585414 6821384.572 6775700.681 6809169.706 273.13747 467.83251 162.34041 0.0002954820 173.08362 327.003 0.082577 868.847 275.042 0.00252652819 0.00506538647 0.0000927889 0.0000592868 6789744.907 6744270.919 6777203.532 275.93926 454.37299 161.18963 0.0002960756 177.09051 328.001 0.082829 867.717 274.839 0.00251384106 0.00510899091 0.0000926248 0.0000600264 6758809.264 6713549.159 6745946.691 278.74734 440.92042 160.06438 0.0002966513 180.95711 329.003 0.083082 866.600 274.639 0.00250092642 0.00515236755 0.0000924473 0.0000607661 6728331.024 6683290.269 6715150.160 281.58363 427.37096 158.95571 0.0002972133 184.71424 330.001 0.083334 865.505 274.445 0.00248789057 0.00519517032 0.0000922575 0.0000614995 6698549.924 6653732.052 6685056.333 284.42537 413.83458 157.87233 0.0002977571 188.33236 331.003 0.083587 864.423 274.255 0.00247463422 0.00523773593 0.0000920542 0.0000622325 6669228.306 6624638.422 6655425.196 287.29471 400.20665 156.80561 0.0002982867 191.84035 332.001 0.083839 863.364 274.069 0.00246126627 0.00527972504 0.0000918390 0.0000629589 6640596.582 6596237.800 6626489.720 290.16859 386.59762 155.76393 0.0002987980 195.21068 333.003 0.084092 862.318 273.888 0.00244768465 0.00532146821 0.0000916103 0.0000636844 6612426.047 6568303.126 6598018.894 293.06943 372.90219 154.73898 0.0002992946 198.47031 334.001 0.084344 861.295 273.711 0.00243400068 0.00536263294 0.0000913698 0.0000644028 6584937.856 6541053.516 6570236.343 295.97388 359.23121 153.73881 0.0002997727 201.59371 335.003 0.084597 860.286 273.539 0.00242010967 0.00540354351 0.0000911159 0.0000651198 6557912.238 6514270.915 6542920.043 298.90456 345.47877 152.75542 0.0003002357 204.60590 336.001 0.084849 859.299 273.371 0.00240612527 0.00544387428 0.0000908506 0.0000658295 6531561.172 6488165.214 6516284.346 301.83790 331.75607 151.79654 0.0003006800 207.48333 337.002 0.085102 858.327 273.207 0.00239194025 0.00548394318 0.0000905718 0.0000665372 6505673.794 6462527.334 6490116.199 304.79671 317.95667 150.85448 0.0003011089 210.24911 338.000 0.085354 857.378 273.048 0.00237767047 0.00552343145 0.0000902818 0.0000672371 6480452.982 6437558.023 6464620.757 307.75716 304.19205 149.93665 0.0003015189 212.88168 339.002 0.085607 856.443 272.893 0.00236320633 0.00556265058 0.0000899785 0.0000679347 6455696.750 6413057.141 6439593.910 310.74229 290.35531 149.03568 0.0003019132 215.40223 340.000 0.085859 855.530 272.743 0.00234866575 0.00560128873 0.0000896643 0.0000686241 6431598.955 6389216.378 6415231.697 313.72804 276.55813 148.15864 0.0003022884 217.79114 341.002 0.086112 854.633 272.597 0.00233393687 0.00563965085 0.0000893368 0.0000693106 6407966.456 6365844.493 6391338.920 316.73761 262.69328 147.29850 0.0003026474 220.06770 342.004 0.086365 853.755 272.456 0.00231908062 0.00567758113 0.0000889974 0.0000699913 6384894.072 6343035.154 6368011.489 319.75869 248.81770 146.45871 0.0003029887 222.22255 343.002 0.086617 852.899 272.319 0.00230415989 0.00571493068 0.0000886475 0.0000706633 6362467.750 6320873.126 6345336.360 322.77879 234.98844 145.64241 0.0003033108 224.24822 344.004 0.086870 852.059 272.186 0.00228905962 0.00575199446 0.0000882846 0.0000713317 6340507.553 6299180.441 6323131.640 325.82137 221.09788 144.84304 0.0003036163 226.16117 345.002 0.087122 851.241 272.059 0.00227390248 0.00578847811 0.0000879114 0.0000719911 6319185.122 6278126.506 6301570.924 328.86186 207.25790 144.06685 0.0003039026 227.94664 346.004 0.087375 850.440 271.935 0.00225857142 0.00582466986 0.0000875254 0.0000726465 6298329.257 6257542.139 6280481.135 331.92388 193.36070 143.30762 0.0003041719 229.61918 347.001 0.087627 849.660 271.816 0.00224319085 0.00586028235 0.0000871295 0.0000732925 6278102.860 6237587.983 6260027.033 334.98269 179.51813 142.57127 0.0003044219 231.16596 348.003 0.087880 848.897 271.702 0.00222764183 0.00589559702 0.0000867208 0.0000739340 6258343.427 6218103.589 6240044.313 338.06205 165.62230 141.85189 0.0003046547 232.59967 349.001 0.088132 848.157 271.592 0.00221205037 0.00593033355 0.0000863026 0.0000745657 6239205.196 6199240.919 6220688.982 341.13706 151.78497 141.15510 0.0003048683 233.90938 350.003 0.088385 847.432 271.486 0.00219629579 0.00596476653 0.0000858717 0.0000751926 6220534.311 6180848.209 6201805.461 344.23160 137.89823 140.47530 0.0003050643 235.10590 351.001 0.088637 846.731 271.385 0.00218050561 0.00599862268 0.0000854317 0.0000758093 6202476.426 6163068.817 6183541.082 347.32064 124.07369 139.81778 0.0003052411 236.18019 352.003 0.088890 846.045 271.289 0.00216455748 0.00603216968 0.0000849793 0.0000764208 6184886.284 6145759.612 6165748.944 350.42814 110.20347 139.17726 0.0003054000 237.14122 353.001 0.089142 845.383 271.197 0.00214858036 0.00606514133 0.0000845180 0.0000770218 6167901.028 6129055.428 6148567.779 353.52897 96.39901 138.55874 0.0003055399 237.98183 354.003 0.089395 844.737 271.109 0.00213245032 0.00609779833 0.0000840445 0.0000776171 6151383.956 6112821.712 6131859.322 356.64718 82.55253 137.95723 0.0003056616 238.70914 355.001 0.089647 844.113 271.026 0.00211629767 0.00612988157 0.0000835626 0.0000782017 6135463.772 6097184.852 6115753.780 359.75753 68.77521 137.37744 0.0003057643 239.31785 356.003 0.089900 843.506 270.948 0.00209999701 0.00616164473 0.0000830686 0.0000787801 6120012.278 6082018.823 6100121.470 362.88413 54.95943 136.81467 0.0003058486 239.81325 357.000 0.090152 842.922 270.874 0.00208367993 0.00619283579 0.0000825665 0.0000793475 6105149.812 6067441.636 6085084.146 366.00168 41.21610 136.27333 0.0003059140 240.19190 358.002 0.090405 842.355 270.804 0.00206721962 0.00622370138 0.0000820526 0.0000799083 6090756.632 6053335.744 6070520.666 369.13433 27.43780 135.74904 0.0003059609 240.45726 359.000 0.090657 841.810 270.740 0.00205074886 0.00625399659 0.0000815311 0.0000804578 6076944.779 6039810.851 6056544.400 372.25671 13.73509 135.24590 0.0003059889 240.60773 360.002 0.090910 841.283 270.679 0.00203413955 0.00628396093 0.0000809980 0.0000810003 6063602.919 6026757.839 6043042.695 375.39300 0.00086 134.75984 0.0003059983 240.64497 Engine speed (Hz) = 11.0000000000 Output power (W) = 2647.0938002680 Heat into heater (W) = 4129.3230428246 Heat to regenerator (W) = 0.0094653071 Heat removal from cooler (W) = 1482.3581988646 Approximate Pumping loss (W) = -112.6943228715 Thermal efficiency (%) = 64.1047884318 The average engine pressure (Pa) = 8438521.1588613112 The exp space work per cycle (J) = 375.3851707200 The comp space work per cycle (J) = -134.7402797865 The net work per cycle (J) = 240.6448909335 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -907.5240268502 The expansion work for Vmin-to-Vmax (J) = 1148.1689177836 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 841.611 270.709 0.00203496328 0.00628179749 0.0000809976 0.0000810007 6068452.265 6025320.724 6044397.115 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000232 841.106 270.654 0.00201834574 0.00631121966 0.0000804572 0.0000815317 6055688.132 6012892.972 6031451.867 3.12072 -13.66141 -0.46603 0.0003059889 -0.07920 2.003 0.000464 840.619 270.604 0.00200158784 0.00634031628 0.0000799052 0.0000820555 6043389.721 6000933.186 6018977.645 6.25529 -27.35615 -0.91510 0.0003059607 -0.27165 3.001 0.000695 840.154 270.558 0.00198483656 0.00636883557 0.0000793466 0.0000825673 6031661.486 5989542.836 6007080.399 9.37605 -40.96457 -1.34340 0.0003059139 -0.57519 4.003 0.000927 839.706 270.516 0.00196794938 0.00639702347 0.0000787767 0.0000830715 6020400.353 5978621.709 5995655.574 12.50941 -54.60295 -1.75470 0.0003058482 -0.99196 5.001 0.001158 839.281 270.479 0.00195107435 0.00642463599 0.0000782006 0.0000835635 6009701.925 5968262.417 5984800.166 15.62773 -68.15215 -2.14549 0.0003057641 -1.51783 6.003 0.001390 838.873 270.447 0.00193406781 0.00645191118 0.0000776134 0.0000840475 5999472.139 5958373.775 5974418.735 18.75738 -81.72796 -2.51922 0.0003056609 -2.15687 7.001 0.001621 838.487 270.419 0.00191707878 0.00647861290 0.0000770205 0.0000845191 5989797.807 5949039.596 5964599.384 21.87074 -95.21183 -2.87272 0.0003055396 -2.90304 8.004 0.001853 838.120 270.396 0.00189996256 0.00650497126 0.0000764168 0.0000849823 5980593.836 5940177.675 5955255.745 24.99414 -108.71897 -3.20909 0.0003053991 -3.76229 9.001 0.002084 837.774 270.378 0.00188286907 0.00653075795 0.0000758077 0.0000854329 5971938.298 5931863.080 5946467.080 28.09999 -122.13146 -3.52548 0.0003052406 -4.72669 10.004 0.002316 837.447 270.364 0.00186565266 0.00655619510 0.0000751883 0.0000858747 5963755.028 5924022.546 5938156.056 31.21454 -135.56391 -3.82468 0.0003050630 -5.80404 11.002 0.002547 837.141 270.354 0.00184846407 0.00658106228 0.0000745639 0.0000863038 5956113.410 5916722.447 5930393.145 34.31029 -148.89905 -4.10414 0.0003048677 -6.98455 12.004 0.002779 836.853 270.350 0.00183115678 0.00660557359 0.0000739293 0.0000867238 5948946.171 5909898.415 5923110.009 37.41339 -162.25086 -4.36634 0.0003046531 -8.27788 13.002 0.003010 836.587 270.349 0.00181388227 0.00662951650 0.0000732903 0.0000871308 5942314.049 5903608.177 5916368.376 40.49643 -175.50275 -4.60903 0.0003044211 -9.67235 14.004 0.003242 836.340 270.354 0.00179649325 0.00665309703 0.0000726415 0.0000875284 5936158.630 5897796.225 5910108.872 43.58544 -188.76799 -4.83438 0.0003041699 -11.17949 15.002 0.003473 836.114 270.363 0.00177914187 0.00667611058 0.0000719887 0.0000879128 5930532.049 5892511.680 5904384.519 46.65311 -201.93076 -5.04045 0.0003039016 -12.78577 16.004 0.003705 835.907 270.377 0.00176168014 0.00669875503 0.0000713264 0.0000882875 5925384.717 5887707.861 5899144.876 49.72534 -215.10355 -5.22908 0.0003036139 -14.50452 17.002 0.003936 835.721 270.395 0.00174426081 0.00672083376 0.0000706606 0.0000886490 5920760.203 5883425.321 5894434.301 52.77497 -228.17134 -5.39866 0.0003033096 -16.32039 18.004 0.004168 835.554 270.418 0.00172673529 0.00674253646 0.0000699856 0.0000890003 5916617.718 5879626.176 5890211.255 55.82773 -241.24579 -5.55069 0.0003029859 -18.24853 19.002 0.004399 835.408 270.446 0.00170925683 0.00676367452 0.0000693076 0.0000893383 5912992.292 5876342.440 5886511.460 58.85660 -254.21274 -5.68388 0.0003026459 -20.27175 20.000 0.004630 835.282 270.478 0.00169175215 0.00678434093 0.0000686238 0.0000896645 5909864.376 5873555.984 5883315.006 61.87410 -267.12719 -5.79896 0.0003022882 -22.39758 21.002 0.004862 835.176 270.515 0.00167414748 0.00680462046 0.0000679313 0.0000899800 5907223.109 5871257.362 5880610.774 64.89252 -280.04322 -5.89631 0.0003019113 -24.63532 22.000 0.005093 835.090 270.556 0.00165659675 0.00682433659 0.0000672365 0.0000902821 5905090.771 5869465.839 5878421.589 67.88515 -292.84801 -5.97512 0.0003015186 -26.96510 23.003 0.005325 835.024 270.603 0.00163895019 0.00684365827 0.0000665336 0.0000905732 5903448.475 5868165.411 5876728.077 70.87719 -305.65094 -6.03609 0.0003011068 -29.40650 24.000 0.005556 834.978 270.653 0.00162136208 0.00686241712 0.0000658286 0.0000908509 5902310.020 5867366.861 5875544.484 73.84217 -318.34015 -6.07869 0.0003006795 -31.93790 25.003 0.005788 834.952 270.709 0.00160368230 0.00688077367 0.0000651159 0.0000911173 5901665.257 5867062.910 5874860.277 76.80504 -331.02400 -6.10333 0.0003002332 -34.58063 26.001 0.006019 834.946 270.769 0.00158606544 0.00689856773 0.0000644017 0.0000913702 5901519.519 5867255.875 5874681.139 79.73955 -343.59164 -6.10978 0.0002997719 -37.31129 27.003 0.006251 834.960 270.834 0.00156836112 0.00691595133 0.0000636801 0.0000916116 5901871.382 5867947.186 5875005.371 82.67041 -356.15036 -6.09810 0.0002992918 -40.15294 28.001 0.006482 834.994 270.903 0.00155072414 0.00693277255 0.0000629576 0.0000918394 5902717.722 5869130.704 5875830.099 85.57163 -368.59037 -6.06841 0.0002987970 -43.08048 29.003 0.006714 835.048 270.978 0.00153300396 0.00694917485 0.0000622280 0.0000920555 5904065.840 5870816.561 5877162.452 88.46761 -381.01783 -6.02045 0.0002982835 -46.11863 30.001 0.006945 835.123 271.056 0.00151535550 0.00696501462 0.0000614979 0.0000922580 5905904.155 5872990.167 5878991.003 91.33268 -393.32406 -5.95462 0.0002977559 -49.24060 31.003 0.007177 835.217 271.140 0.00149762815 0.00698042669 0.0000607612 0.0000924485 5908248.693 5875670.348 5881331.713 94.19090 -405.61404 -5.87035 0.0002972097 -52.47279 32.001 0.007408 835.331 271.228 0.00147997690 0.00699527583 0.0000600245 0.0000926253 5911079.416 5878834.064 5884164.598 97.01693 -417.78023 -5.76837 0.0002966498 -55.78671 33.003 0.007640 835.465 271.321 0.00146225112 0.00700968813 0.0000592816 0.0000927900 5914421.077 5882508.832 5887514.453 99.83449 -429.92638 -5.64778 0.0002960716 -59.21041 34.001 0.007871 835.619 271.418 0.00144460583 0.00702353685 0.0000585392 0.0000929410 5918245.178 5886663.160 5891352.732 102.61856 -441.94617 -5.50960 0.0002954802 -62.71375 35.004 0.008103 835.794 271.520 0.00142689045 0.00703693925 0.0000577910 0.0000930796 5922585.203 5891333.257 5895713.072 105.39252 -453.94202 -5.35263 0.0002948706 -66.32641 36.001 0.008334 835.988 271.627 0.00140925992 0.00704977712 0.0000570438 0.0000932046 5927404.183 5896479.166 5900558.355 108.13171 -465.80889 -5.17820 0.0002942484 -70.01660 37.004 0.008566 836.202 271.739 0.00139156385 0.00706215884 0.0000562912 0.0000933171 5932744.350 5902145.796 5905931.071 110.85911 -477.64785 -4.98478 0.0002936083 -73.81559 38.002 0.008797 836.436 271.855 0.00137395702 0.00707397483 0.0000555401 0.0000934159 5938560.244 5908284.708 5911785.512 113.55046 -489.35515 -4.77402 0.0002929560 -77.68999 39.004 0.009029 836.690 271.976 0.00135628927 0.00708532444 0.0000547841 0.0000935020 5944902.862 5914949.520 5918173.042 116.22833 -501.03043 -4.54407 0.0002922861 -81.67265 40.002 0.009260 836.964 272.101 0.00133871518 0.00709610682 0.0000540299 0.0000935746 5951718.233 5922083.295 5925039.337 118.86887 -512.57134 -4.29688 0.0002916045 -85.72857 41.004 0.009492 837.258 272.232 0.00132108490 0.00710641221 0.0000532713 0.0000936342 5959066.141 5929748.367 5932444.658 121.49421 -524.07602 -4.03029 0.0002909056 -89.89216 42.002 0.009723 837.571 272.366 0.00130355274 0.00711614861 0.0000525151 0.0000936805 5966884.077 5937879.275 5940326.042 124.08095 -535.44353 -3.74656 0.0002901956 -94.12684 43.004 0.009955 837.905 272.506 0.00128596924 0.00712539701 0.0000517549 0.0000937136 5975240.637 5946547.085 5948752.670 126.65075 -546.77049 -3.44320 0.0002894685 -98.46857 44.002 0.010186 838.257 272.650 0.00126848836 0.00713407434 0.0000509976 0.0000937334 5984064.747 5955677.784 5957652.906 129.18068 -557.95742 -3.12279 0.0002887310 -102.87919 45.004 0.010418 838.631 272.800 0.00125096112 0.00714225227 0.0000502367 0.0000937400 5993433.842 5965351.182 5967104.888 131.69190 -569.09933 -2.78252 0.0002879767 -107.39618 46.002 0.010649 839.023 272.953 0.00123354105 0.00714985676 0.0000494791 0.0000937333 6003268.251 5975484.681 5977028.270 134.16200 -580.09828 -2.42528 0.0002872124 -111.97986 47.000 0.010880 839.435 273.111 0.00121615495 0.00715692060 0.0000487217 0.0000937135 6013608.422 5986119.718 5987463.889 136.60111 -591.00061 -2.04960 0.0002864352 -116.64878 48.002 0.011112 839.868 273.275 0.00119873025 0.00716346713 0.0000479615 0.0000936803 6024503.635 5997306.462 5998461.526 139.01883 -601.85095 -1.65368 0.0002856418 -121.42293 49.000 0.011343 840.319 273.442 0.00118141965 0.00716943610 0.0000472053 0.0000936340 6035861.257 6008949.365 6009927.711 141.39355 -612.55380 -1.24090 0.0002848393 -126.26041 50.003 0.011575 840.791 273.615 0.00116407582 0.00717487525 0.0000464468 0.0000935743 6047780.984 6021150.153 6021963.128 143.74507 -623.19982 -0.80762 0.0002840211 -131.20233 51.000 0.011806 841.282 273.792 0.00114685082 0.00717973369 0.0000456926 0.0000935017 6060161.487 6033804.579 6034465.497 146.05234 -633.69519 -0.35754 0.0002831943 -136.20528 52.003 0.012038 841.794 273.974 0.00112959813 0.00718404933 0.0000449366 0.0000934155 6073111.458 6047023.151 6047544.618 148.33459 -644.12873 0.11331 0.0002823521 -141.31179 53.001 0.012269 842.323 274.160 0.00111246910 0.00718778075 0.0000441855 0.0000933166 6086520.831 6060692.854 6061089.363 150.57135 -654.40839 0.60092 0.0002815020 -146.47702 54.003 0.012501 842.874 274.352 0.00109531811 0.00719095587 0.0000434329 0.0000932041 6100507.369 6074932.966 6075218.719 152.78124 -664.62101 1.10958 0.0002806370 -151.74487 55.001 0.012732 843.442 274.547 0.00107829571 0.00719354283 0.0000426857 0.0000930790 6114952.246 6089621.601 6089812.691 154.94442 -674.67638 1.63496 0.0002797647 -157.06910 56.003 0.012964 844.033 274.749 0.00106125728 0.00719555934 0.0000419375 0.0000929403 6129982.407 6104886.726 6104999.581 157.07884 -684.65932 2.18169 0.0002788778 -162.49494 57.001 0.013195 844.640 274.953 0.00104435251 0.00719698311 0.0000411951 0.0000927893 6145470.314 6120597.364 6120650.585 159.16534 -694.48146 2.74512 0.0002779844 -167.97476 58.003 0.013427 845.269 275.164 0.00102743792 0.00719782116 0.0000404522 0.0000926245 6161552.390 6136889.770 6136903.679 161.22117 -704.22546 3.33024 0.0002770768 -173.55513 59.001 0.013658 845.915 275.378 0.00101066231 0.00719805975 0.0000397155 0.0000924476 6178093.079 6153622.600 6153622.314 163.22777 -713.80469 3.93203 0.0002761632 -179.18704 60.003 0.013890 846.584 275.599 0.00099388330 0.00719769826 0.0000389789 0.0000922571 6195237.300 6170971.402 6170951.053 165.20183 -723.30006 4.54950 0.0002752360 -184.91836 61.001 0.014121 847.269 275.826 0.00097724820 0.00719673593 0.0000382488 0.0000920546 6212836.957 6188807.124 6188741.744 167.12564 -732.62765 5.17323 0.0002743034 -190.69875 62.004 0.014353 847.976 276.060 0.00096061607 0.00719515873 0.0000375192 0.0000918385 6231047.154 6207283.984 6207151.047 169.01507 -741.86565 5.80888 0.0002733577 -196.57734 63.001 0.014584 848.699 276.300 0.00094413330 0.00719297534 0.0000367967 0.0000916106 6249712.962 6226243.401 6226022.197 170.85309 -750.93200 6.45127 0.0002724073 -202.50249 64.004 0.014816 849.444 276.548 0.00092766024 0.00719016209 0.0000360751 0.0000913691 6268997.745 6245850.548 6245520.311 172.65487 -759.90278 7.10626 0.0002714442 -208.52456 65.002 0.015047 850.206 276.801 0.00091134197 0.00718673857 0.0000353609 0.0000911162 6288736.860 6265937.568 6265478.910 174.40417 -768.69824 7.76849 0.0002704772 -214.59065 66.004 0.015279 850.990 277.062 0.00089504032 0.00718267050 0.0000346482 0.0000908497 6309102.741 6286679.640 6286072.339 176.11542 -777.39210 8.44404 0.0002694979 -220.75228 67.002 0.015510 851.789 277.328 0.00087889897 0.00717798831 0.0000339433 0.0000905720 6329921.284 6307899.269 6307124.552 177.77317 -785.90696 9.12741 0.0002685153 -226.95533 68.004 0.015742 852.611 277.602 0.00086278141 0.00717264683 0.0000332404 0.0000902808 6351374.165 6329781.526 6328819.265 179.39107 -794.31403 9.82487 0.0002675211 -233.25246 69.002 0.015973 853.448 277.881 0.00084682982 0.00716668746 0.0000325456 0.0000899786 6373277.825 6352139.132 6350970.853 180.95450 -802.53832 10.53077 0.0002665242 -239.58835 70.004 0.016205 854.307 278.168 0.00083090943 0.00716005392 0.0000318532 0.0000896630 6395823.257 6375167.035 6373772.473 182.47631 -810.64849 11.25160 0.0002655163 -246.01678 71.002 0.016436 855.182 278.460 0.00081516085 0.00715279872 0.0000311694 0.0000893368 6418817.412 6398668.076 6397028.876 183.94273 -818.57202 11.98154 0.0002645062 -252.48124 72.004 0.016668 856.078 278.759 0.00079945117 0.00714485435 0.0000304885 0.0000889973 6442460.648 6422847.081 6420942.701 185.36578 -826.37490 12.72732 0.0002634857 -259.03659 73.002 0.016899 856.989 279.064 0.00078391931 0.00713628457 0.0000298165 0.0000886474 6466550.371 6447496.932 6445309.026 186.73255 -833.98718 13.48293 0.0002624639 -265.62520 74.000 0.017130 857.919 279.374 0.00076850085 0.00712705186 0.0000291506 0.0000882859 6491188.491 6472721.895 6470230.908 188.04865 -841.44018 14.25200 0.0002614365 -272.27403 75.002 0.017362 858.870 279.693 0.00075313341 0.00711710721 0.0000284884 0.0000879112 6516486.375 6498636.168 6495820.981 189.31882 -848.76236 15.03839 0.0002603996 -279.01108 76.000 0.017593 859.836 280.016 0.00073795313 0.00710653161 0.0000278356 0.0000875266 6542227.026 6525017.560 6521859.716 190.53149 -855.88784 15.83579 0.0002593622 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137.61156 0.0003058485 238.32503 357.003 0.082640 843.246 270.900 0.00208447394 0.00619068009 0.0000825651 0.0000793491 6109934.895 6065797.822 6086460.785 365.31356 41.19722 137.06703 0.0003059142 238.70192 358.001 0.082871 842.682 270.832 0.00206807624 0.00622144910 0.0000820532 0.0000799077 6095605.162 6051801.700 6071931.651 368.42967 27.46835 136.54398 0.0003059609 238.96282 359.004 0.083103 842.136 270.767 0.00205153132 0.00625190123 0.0000815294 0.0000804596 6081739.348 6038271.940 6057871.714 371.56142 13.70102 136.03782 0.0003059890 239.11048 360.001 0.083334 841.611 270.708 0.00203498444 0.00628177302 0.0000809983 0.0000809999 6068455.297 6025323.417 6044400.473 374.68122 0.01553 135.55286 0.0003059983 239.14410 Engine speed (Hz) = 12.0000000000 Output power (W) = 2869.7280599229 Heat into heater (W) = 4496.1746305380 Heat to regenerator (W) = 0.1864091211 Heat removal from cooler (W) = 1626.6342604087 Approximate Pumping loss (W) = -143.7687702732 Thermal efficiency (%) = 63.8259919984 The average engine pressure (Pa) = 8439102.5175516605 The exp space work per cycle (J) = 374.6791130804 The comp space work per cycle (J) = -135.5351080869 The net work per cycle (J) = 239.1440049936 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -908.2635602509 The expansion work for Vmin-to-Vmax (J) = 1147.4075652445 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 841.961 270.739 0.00203584746 0.00627949038 0.0000809974 0.0000810009 6073629.335 6023765.318 6045835.678 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.000 0.000214 841.457 270.685 0.00201924424 0.00630890928 0.0000804576 0.0000815313 6060883.073 6011406.006 6032879.251 3.11297 -13.65279 -0.46643 0.0003059889 -0.08266 2.002 0.000428 840.971 270.635 0.00200249438 0.00633801440 0.0000799060 0.0000820547 6048596.239 5999508.910 6020388.308 6.24092 -27.34417 -0.91611 0.0003059607 -0.27844 3.003 0.000642 840.504 270.590 0.00198567820 0.00636666559 0.0000793454 0.0000825684 6036828.331 5988131.636 6008423.328 9.36861 -41.00838 -1.34684 0.0003059138 -0.58672 4.005 0.000856 840.057 270.549 0.00196879822 0.00639486184 0.0000787759 0.0000830722 6025577.829 5977272.592 5996982.770 12.49541 -54.64385 -1.75870 0.0003058481 -1.00698 5.001 0.001069 839.632 270.513 0.00195193625 0.00642247358 0.0000782004 0.0000835637 6014892.225 5966977.364 5986114.947 15.60610 -68.18551 -2.14995 0.0003057640 -1.53598 6.003 0.001283 839.225 270.481 0.00193493641 0.00644975904 0.0000776136 0.0000840473 6004669.766 5957147.798 5975716.374 18.72926 -81.75898 -2.52429 0.0003056609 -2.17818 7.005 0.001497 838.838 270.454 0.00191788015 0.00647658646 0.0000770185 0.0000845206 5994960.452 5947831.994 5965837.904 21.84963 -95.29907 -2.87992 0.0003055391 -2.93082 8.001 0.001710 838.473 270.431 0.00190084997 0.00650283261 0.0000764181 0.0000849813 5985804.751 5939068.512 5956520.728 24.95202 -108.74122 -3.21534 0.0003053994 -3.78911 9.003 0.001924 838.126 270.413 0.00188368833 0.00652874283 0.0000758069 0.0000854335 5977115.431 5930773.740 5947676.081 28.06492 -122.21014 -3.53375 0.0003052404 -4.76057 10.004 0.002138 837.799 270.400 0.00186647742 0.00655419166 0.0000751878 0.0000858750 5968935.457 5922988.741 5939347.684 31.17310 -135.64113 -3.83357 0.0003050629 -5.84091 11.001 0.002351 837.493 270.391 0.00184930034 0.00657906225 0.0000745641 0.0000863037 5961298.341 5915745.114 5931569.680 34.26142 -148.97021 -4.11358 0.0003048678 -7.02378 12.003 0.002565 837.206 270.387 0.00183199811 0.00660358692 0.0000739300 0.0000867233 5954131.276 5908973.687 5924267.925 37.35821 -162.32105 -4.37644 0.0003046533 -8.31975 13.004 0.002779 836.939 270.388 0.00181465357 0.00662764655 0.0000732887 0.0000871318 5947470.261 5902708.550 5917479.081 40.44832 -175.62947 -4.62084 0.0003044205 -9.72299 14.001 0.002992 836.693 270.393 0.00179735034 0.00665113069 0.0000726434 0.0000875272 5941341.904 5896974.400 5911230.296 43.51667 -188.83212 -4.84579 0.0003041706 -11.22563 15.003 0.003206 836.466 270.402 0.00177992820 0.00667425851 0.0000719882 0.0000879131 5935687.743 5891716.412 5905461.966 46.59142 -202.05149 -5.05345 0.0003039014 -12.84124 16.004 0.003420 836.259 270.417 0.00176247055 0.00669691725 0.0000713264 0.0000882875 5930536.865 5886961.762 5900203.751 49.65746 -215.22400 -5.24275 0.0003036139 -14.56246 17.001 0.003633 836.073 270.436 0.00174506144 0.00671900290 0.0000706613 0.0000886486 5925909.024 5882728.288 5895475.853 52.69986 -228.28696 -5.41295 0.0003033099 -16.37995 18.003 0.003847 835.906 270.459 0.00172753962 0.00674072134 0.0000699869 0.0000889997 5921760.031 5878975.438 5891233.137 55.74651 -241.36156 -5.56569 0.0003029865 -18.31023 19.004 0.004061 835.759 270.487 0.00170998898 0.00676196624 0.0000693064 0.0000893389 5918112.111 5875723.519 5887498.313 58.78240 -254.38486 -5.70015 0.0003026453 -20.34442 20.001 0.004274 835.633 270.520 0.00169249391 0.00678264004 0.0000686233 0.0000896647 5914978.198 5872983.547 5884284.671 61.79275 -267.29489 -5.81584 0.0003022879 -22.47173 21.002 0.004488 835.526 270.558 0.00167489234 0.00680293521 0.0000679313 0.0000899800 5912328.321 5870729.180 5881561.492 64.80513 -280.21139 -5.91387 0.0003019113 -24.71158 22.004 0.004702 835.439 270.600 0.00165726853 0.00682275186 0.0000672340 0.0000902831 5910177.881 5868973.892 5879344.572 67.80468 -293.07213 -5.99368 0.0003015172 -27.05361 23.001 0.004915 835.373 270.646 0.00163970717 0.00684199896 0.0000665348 0.0000905727 5908533.019 5867721.906 5877640.319 70.77678 -305.81592 -6.05503 0.0003011075 -29.48561 24.002 0.005129 835.326 270.698 0.00162204554 0.00686085540 0.0000658274 0.0000908514 5907377.942 5866961.035 5876432.389 73.74865 -318.56092 -6.09852 0.0003006787 -32.02982 25.004 0.005343 835.300 270.754 0.00160436822 0.00687922778 0.0000651151 0.0000911176 5906721.255 5866697.954 5875729.692 76.70557 -331.24563 -6.12382 0.0003002328 -34.67446 26.001 0.005556 835.294 270.814 0.00158676010 0.00689703168 0.0000644017 0.0000913702 5906562.323 5866930.104 5875531.772 79.63314 -343.80971 -6.13094 0.0002997719 -37.40588 27.002 0.005770 835.307 270.880 0.00156905800 0.00691443223 0.0000636806 0.0000916115 5906899.505 5867659.421 5875836.634 82.55814 -356.36959 -6.11997 0.0002992921 -40.24912 28.004 0.005984 835.341 270.950 0.00155134675 0.00693134258 0.0000629555 0.0000918401 5907734.629 5868885.794 5876646.322 85.46605 -368.86460 -6.09082 0.0002987955 -43.19099 29.001 0.006197 835.394 271.024 0.00153371134 0.00694768499 0.0000622298 0.0000920550 5909060.292 5870599.894 5877953.520 88.34271 -381.23526 -6.04376 0.0002982848 -46.21644 30.002 0.006411 835.468 271.103 0.00151598836 0.00696361065 0.0000614971 0.0000922582 5910888.993 5872817.755 5879770.576 91.21440 -393.59617 -5.97834 0.0002977553 -49.35326 31.004 0.006625 835.561 271.188 0.00149826280 0.00697903934 0.0000607609 0.0000924485 5913215.792 5875532.489 5882092.675 94.06685 -405.88750 -5.89475 0.0002972095 -52.58685 32.000 0.006838 835.675 271.276 0.00148061967 0.00699390006 0.0000600250 0.0000926252 5916026.515 5878727.993 5884905.640 96.88613 -418.05073 -5.79348 0.0002966502 -55.90080 33.002 0.007052 835.808 271.369 0.00146289552 0.00700832987 0.0000592827 0.0000927897 5919347.810 5882434.389 5888236.165 99.69799 -430.19846 -5.67358 0.0002960724 -59.32559 34.003 0.007266 835.962 271.467 0.00144517539 0.00702225526 0.0000585376 0.0000929413 5923167.965 5886638.012 5892072.575 102.48841 -442.27179 -5.53547 0.0002954789 -62.84525 35.000 0.007479 836.135 271.570 0.00142754428 0.00703561207 0.0000577935 0.0000930792 5927466.027 5891315.971 5896393.820 105.24377 -454.21318 -5.37991 0.0002948726 -66.44201 36.002 0.007693 836.328 271.677 0.00140983886 0.00704852299 0.0000570435 0.0000932047 5932282.807 5896512.479 5901240.964 107.98920 -466.13311 -5.20541 0.0002942482 -70.14900 37.003 0.007907 836.542 271.789 0.00139214418 0.00706092134 0.0000562915 0.0000933170 5937599.818 5902207.084 5906595.461 110.71096 -477.97365 -5.01265 0.0002936085 -73.94889 38.000 0.008120 836.774 271.905 0.00137454511 0.00707274989 0.0000555412 0.0000934158 5943389.301 5908370.083 5912429.362 113.39577 -489.67833 -4.80263 0.0002929569 -77.82261 39.002 0.008334 837.027 272.027 0.00135687866 0.00708411674 0.0000547857 0.0000935018 5949706.272 5915059.798 5918798.141 116.06809 -501.35534 -4.57335 0.0002922875 -81.80585 40.003 0.008548 837.301 272.153 0.00133922979 0.00709496210 0.0000540288 0.0000935747 5956525.446 5922248.961 5925676.361 118.71450 -512.94779 -4.32574 0.0002916035 -85.87996 41.000 0.008761 837.593 272.283 0.00132168316 0.00710523582 0.0000532743 0.0000936340 5963812.230 5929901.032 5933029.142 121.32207 -524.40035 -4.06104 0.0002909084 -90.02457 42.002 0.008975 837.906 272.419 0.00130407634 0.00711503114 0.0000525154 0.0000936804 5971635.898 5938088.459 5940926.423 123.91453 -535.81877 -3.77673 0.0002901958 -94.27791 43.003 0.009189 838.238 272.559 0.00128649412 0.00712429529 0.0000517558 0.0000937136 5979964.340 5946777.132 5949335.847 126.47882 -547.14725 -3.47399 0.0002894693 -98.62002 44.005 0.009403 838.591 272.704 0.00126893888 0.00713302485 0.0000509957 0.0000937334 5988798.546 5955967.741 5958258.450 129.01418 -558.38395 -3.15278 0.0002887291 -103.05017 45.001 0.009616 838.962 272.853 0.00125149486 0.00714117930 0.0000502389 0.0000937400 5998094.744 5965614.550 5967650.043 131.50820 -569.47516 -2.81468 0.0002879789 -107.54633 46.003 0.009830 839.354 273.007 0.00123400068 0.00714883163 0.0000494785 0.0000937333 6007941.340 5975808.906 5977599.976 133.98354 -580.52312 -2.45649 0.0002872119 -112.14998 47.004 0.010044 839.766 273.166 0.00121654078 0.00715593861 0.0000487184 0.0000937134 6018297.064 5986507.494 5988066.602 136.42766 -591.47361 -2.07969 0.0002864318 -116.83946 48.001 0.010257 840.196 273.329 0.00119919896 0.00716246708 0.0000479624 0.0000936803 6029111.208 5997657.619 5998998.692 138.82860 -602.27421 -1.68613 0.0002856427 -121.59152 49.003 0.010471 840.647 273.497 0.00118181491 0.00716847450 0.0000472034 0.0000936339 6040486.632 6009364.831 6010500.267 141.20812 -613.02435 -1.27207 0.0002848373 -126.44999 50.004 0.010685 841.119 273.670 0.00116447268 0.00717392493 0.0000464454 0.0000935742 6052375.152 6021578.839 6022522.663 143.55413 -623.67106 -0.83927 0.0002840196 -131.39200 51.001 0.010898 841.607 273.847 0.00114725557 0.00717879276 0.0000456921 0.0000935016 6064719.076 6034239.904 6035007.564 145.85511 -634.16330 -0.38981 0.0002831937 -136.39308 52.003 0.011112 842.118 274.030 0.00113000452 0.00718311951 0.0000449366 0.0000934155 6077635.845 6047467.796 6048073.791 148.13191 -644.59748 0.08057 0.0002823521 -141.49938 53.004 0.011326 842.648 274.217 0.00111280314 0.00718687670 0.0000441827 0.0000933162 6091070.329 6061205.143 6061665.632 150.37287 -654.92199 0.56988 0.0002814990 -146.68681 54.001 0.011539 843.195 274.408 0.00109573411 0.00719004635 0.0000434343 0.0000932043 6104957.823 6075385.030 6075717.656 152.56700 -665.08719 1.07575 0.0002806386 -151.92973 55.003 0.011753 843.764 274.604 0.00107863990 0.00719265363 0.0000426843 0.0000930788 6119430.534 6090141.390 6090363.684 154.73412 -675.18633 1.60301 0.0002797631 -157.27654 56.004 0.011967 844.353 274.805 0.00106160353 0.00719467755 0.0000419367 0.0000929402 6134426.423 6105409.530 6105541.005 156.86306 -685.16916 2.14939 0.0002788769 -162.70195 57.001 0.012180 844.958 275.010 0.00104470702 0.00719610772 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0.013462 849.009 276.358 0.00094444055 0.00719214340 0.0000367972 0.0000916108 6253945.137 6226806.128 6226552.649 170.60652 -751.47115 6.41943 0.0002724080 -202.72215 64.002 0.013676 849.753 276.605 0.00092796910 0.00718934412 0.0000360761 0.0000913695 6273181.391 6246413.636 6246035.019 172.40349 -760.44302 7.07424 0.0002714456 -208.74298 65.004 0.013890 850.515 276.860 0.00091158178 0.00718592065 0.0000353594 0.0000911156 6292955.342 6266590.095 6266063.361 174.15563 -769.27777 7.73919 0.0002704750 -214.83410 66.001 0.014103 851.293 277.119 0.00089535772 0.00718188872 0.0000346505 0.0000908506 6313172.367 6287238.478 6286541.815 175.85434 -777.93266 8.41142 0.0002695011 -220.96558 67.002 0.014317 852.094 277.387 0.00087914774 0.00717720579 0.0000339431 0.0000905719 6334023.781 6308553.972 6307664.169 177.51487 -786.48645 9.09758 0.0002685150 -227.19397 68.004 0.014531 852.913 277.661 0.00086303148 0.00717188463 0.0000332406 0.0000902809 6355417.370 6330442.321 6329337.016 179.12845 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6243426.022 336.69948 165.73141 143.51263 0.0003046547 229.57621 349.000 0.074573 848.822 271.636 0.00221381573 0.00592525102 0.0000863030 0.0000745650 6249046.842 6195000.771 6224042.591 339.76206 151.90429 142.81483 0.0003048681 230.87783 350.002 0.074787 848.099 271.532 0.00219806900 0.00595971871 0.0000858723 0.0000751917 6230410.050 6176736.100 6205116.035 342.84637 138.01705 142.13347 0.0003050640 232.06728 351.003 0.075001 847.396 271.432 0.00218222297 0.00599374441 0.0000854308 0.0000758107 6212313.284 6159013.497 6186736.715 345.93751 124.13649 141.47182 0.0003052414 233.13861 352.000 0.075214 846.716 271.337 0.00216635534 0.00602717113 0.0000849806 0.0000764190 6194835.433 6141909.971 6168984.786 349.02043 110.32928 140.83275 0.0003053996 234.08808 353.002 0.075428 846.052 271.246 0.00215032003 0.00606031170 0.0000845177 0.0000770223 6177810.498 6125262.924 6151691.671 352.12351 96.46756 140.21020 0.0003055400 234.92503 354.003 0.075642 845.408 271.160 0.00213419422 0.00609300712 0.0000840443 0.0000776173 6161319.919 6109151.931 6134940.102 355.23171 82.61799 139.60714 0.0003056616 235.64518 355.005 0.075856 844.783 271.078 0.00211798073 0.00612525638 0.0000835606 0.0000782040 6145361.847 6093575.040 6118728.220 358.34447 68.78232 139.02351 0.0003057646 236.24899 356.001 0.076069 844.181 271.001 0.00210175874 0.00615691092 0.0000830691 0.0000787794 6130005.320 6078599.396 6103126.184 361.44662 55.02683 138.46184 0.0003058485 236.73491 357.003 0.076283 843.596 270.929 0.00208537868 0.00618826701 0.0000825652 0.0000793489 6115104.359 6064082.502 6087985.697 364.56670 41.22407 137.91678 0.0003059141 237.10797 358.005 0.076497 843.030 270.861 0.00206891923 0.00621917400 0.0000820515 0.0000799095 6100730.541 6050094.056 6073379.485 367.68957 27.44034 137.39096 0.0003059610 237.36608 359.001 0.076710 842.487 270.797 0.00205246054 0.00624948966 0.0000815305 0.0000804584 6086945.634 6036693.928 6059370.337 370.80002 13.74158 136.88663 0.0003059889 237.50933 360.003 0.076924 841.960 270.738 0.00203585070 0.00627949770 0.0000809976 0.0000810007 6073618.520 6023754.530 6045825.009 373.92665 0.00079 136.39900 0.0003059983 237.53955 Engine speed (Hz) = 13.0000000000 Output power (W) = 3088.0124843643 Heat into heater (W) = 4861.0464098721 Heat to regenerator (W) = 0.0103322631 Heat removal from cooler (W) = 1773.1869682516 Approximate Pumping loss (W) = -179.8668180283 Thermal efficiency (%) = 63.5256737745 The average engine pressure (Pa) = 8439761.2374445871 The exp space work per cycle (J) = 373.9166672945 The comp space work per cycle (J) = -136.3772454203 The net work per cycle (J) = 237.5394218742 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -909.0541290638 The expansion work for Vmin-to-Vmax (J) = 1146.5935509379 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 842.334 270.771 0.00203678789 0.00627703394 0.0000809972 0.0000810011 6079140.765 6022102.826 6047368.342 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000199 841.830 270.718 0.00202016280 0.00630651458 0.0000804568 0.0000815321 6066385.924 6009789.223 6034371.615 3.11167 -13.67406 -0.46788 0.0003059889 -0.08666 2.004 0.000398 841.343 270.668 0.00200338444 0.00633569130 0.0000799044 0.0000820562 6054086.402 5997934.356 6021837.079 6.23944 -27.39188 -0.91913 0.0003059606 -0.28680 3.002 0.000596 840.879 270.624 0.00198662400 0.00636426989 0.0000793458 0.0000825680 6042364.274 5986655.743 6009889.150 9.35127 -41.01400 -1.34925 0.0003059138 -0.59791 4.000 0.000794 840.434 270.584 0.00196979983 0.00639239707 0.0000787784 0.0000830700 6031154.944 5975890.938 5998462.008 12.46225 -54.60785 -1.76063 0.0003058484 -1.02021 5.003 0.000993 840.006 270.548 0.00195282898 0.00642021044 0.0000781993 0.0000835646 6020404.236 5965587.935 5987500.414 15.58747 -68.24029 -2.15525 0.0003057639 -1.55617 6.001 0.001191 839.601 270.517 0.00193588446 0.00644742943 0.0000776147 0.0000840464 6010218.796 5955848.804 5977113.116 18.69487 -81.77278 -2.52919 0.0003056611 -2.19990 7.004 0.001390 839.214 270.490 0.00191879756 0.00647432788 0.0000770188 0.0000845204 6000494.383 5946573.735 5967193.810 21.81522 -95.34045 -2.88628 0.0003055392 -2.95737 8.002 0.001588 838.848 270.469 0.00190174242 0.00650063436 0.0000764177 0.0000849816 5991327.430 5937854.571 5957840.869 24.91651 -108.80542 -3.22299 0.0003053993 -3.82046 9.005 0.001787 838.500 270.451 0.00188454916 0.00652661346 0.0000758055 0.0000854345 5982624.086 5929601.910 5948958.544 28.02943 -122.30219 -3.54275 0.0003052400 -4.79736 10.003 0.001985 838.174 270.439 0.00186739293 0.00655200292 0.0000751887 0.0000858744 5974470.630 5921897.431 5940634.894 31.12203 -135.69358 -3.84240 0.0003050631 -5.87772 11.001 0.002183 837.868 270.431 0.00185018979 0.00657693325 0.0000745643 0.0000863035 5966820.917 5914697.181 5932822.839 34.20932 -149.04603 -4.12364 0.0003048678 -7.06565 12.004 0.002382 837.581 270.427 0.00183285484 0.00660152564 0.0000739293 0.0000867238 5959639.049 5907967.464 5925485.704 37.30620 -162.42516 -4.38777 0.0003046531 -8.36742 13.002 0.002580 837.315 270.428 0.00181556458 0.00662553166 0.0000732903 0.0000871308 5952996.182 5901774.821 5918696.192 40.38089 -175.69504 -4.63220 0.0003044211 -9.76941 14.005 0.002779 837.067 270.434 0.00179814667 0.00664919246 0.0000726411 0.0000875286 5946824.245 5896055.660 5912384.738 43.46377 -188.98820 -4.85941 0.0003041697 -11.28524 15.003 0.002977 836.841 270.444 0.00178077843 0.00667226890 0.0000719882 0.0000879131 5941184.362 5890866.481 5906613.858 46.52319 -202.16955 -5.06716 0.0003039014 -12.89913 16.001 0.003175 836.634 270.459 0.00176337467 0.00669487963 0.0000713288 0.0000882862 5936043.413 5886176.370 5901349.701 49.57399 -215.30454 -5.25667 0.0003036150 -14.61786 17.004 0.003374 836.447 270.478 0.00174584947 0.00671713386 0.0000706596 0.0000886495 5931378.432 5881964.563 5896568.734 52.63084 -228.45765 -5.42879 0.0003033091 -16.45038 18.001 0.003572 836.280 270.503 0.00172838119 0.00673880643 0.0000699876 0.0000889993 5927235.583 5878272.596 5892318.278 55.66234 -241.49523 -5.58180 0.0003029869 -18.37768 19.004 0.003771 836.133 270.531 0.00171079561 0.00676011466 0.0000693061 0.0000893390 5923572.354 5875062.433 5888554.733 58.69842 -254.54746 -5.71729 0.0003026451 -20.41868 20.002 0.003969 836.006 270.565 0.00169327169 0.00678084280 0.0000686223 0.0000896651 5920424.968 5872365.665 5885315.329 61.70788 -267.48168 -5.83391 0.0003022874 -22.55230 21.000 0.004167 835.899 270.603 0.00167572330 0.00680109745 0.0000679328 0.0000899793 5917773.232 5870164.295 5882579.351 64.70531 -280.36212 -5.93240 0.0003019122 -24.78795 22.003 0.004366 835.812 270.645 0.00165806384 0.00682097556 0.0000672345 0.0000902829 5915607.046 5868450.409 5880336.337 67.70508 -293.25194 -6.01315 0.0003015175 -27.13714 23.001 0.004564 835.745 270.693 0.00164047298 0.00684027556 0.0000665346 0.0000905728 5913947.779 5867240.742 5878608.433 70.67633 -306.02008 -6.07536 0.0003011074 -29.57566 24.004 0.004763 835.698 270.745 0.00162277522 0.00685919052 0.0000658261 0.0000908519 5912778.332 5866522.642 5877377.857 73.64837 -318.79399 -6.11966 0.0003006780 -32.12755 25.002 0.004961 835.671 270.801 0.00160515061 0.00687752844 0.0000651164 0.0000911172 5912110.188 5866302.959 5876656.715 76.59063 -331.44379 -6.14562 0.0003002336 -34.76659 26.005 0.005160 835.664 270.862 0.00158742332 0.00689547253 0.0000643986 0.0000913713 5911936.393 5866579.165 5876437.533 79.53211 -344.09571 -6.15351 0.0002997699 -37.51882 27.003 0.005358 835.677 270.928 0.00156977370 0.00691284039 0.0000636801 0.0000916116 5912258.556 5867348.236 5876722.390 82.44254 -356.62106 -6.14325 0.0002992918 -40.35600 28.001 0.005556 835.710 270.998 0.00155211485 0.00692972130 0.0000629576 0.0000918394 5913074.486 5868610.132 5877508.866 85.33604 -369.08204 -6.11494 0.0002987970 -43.29108 29.004 0.005755 835.763 271.074 0.00153435972 0.00694619462 0.0000622274 0.0000920557 5914392.047 5870374.837 5878804.756 88.22636 -381.53954 -6.06829 0.0002982831 -46.33904 30.002 0.005953 835.835 271.153 0.00151668894 0.00696209250 0.0000614974 0.0000922581 5916198.060 5872624.551 5880597.123 91.08374 -393.86678 -6.00376 0.0002977555 -49.46862 31.005 0.006152 835.929 271.238 0.00149892622 0.00697757318 0.0000607602 0.0000924487 5918510.900 5875381.991 5882904.229 93.93630 -406.18669 -5.92071 0.0002972089 -52.71080 32.003 0.006350 836.041 271.327 0.00148125227 0.00699247865 0.0000600234 0.0000926255 5921307.521 5878619.495 5885703.112 96.75466 -418.37385 -5.81995 0.0002966490 -56.03237 33.000 0.006548 836.173 271.421 0.00146358005 0.00700688546 0.0000592838 0.0000927895 5924598.560 5882349.783 5889004.392 99.55248 -430.48875 -5.70110 0.0002960733 -59.44876 34.003 0.006747 836.326 271.519 0.00144582252 0.00702085999 0.0000585376 0.0000929413 5928404.727 5886595.601 5892828.923 102.34298 -442.59038 -5.56342 0.0002954789 -62.97730 35.001 0.006945 836.499 271.622 0.00142816039 0.00703425916 0.0000577926 0.0000930793 5932688.167 5891314.499 5897138.702 105.09740 -454.55547 -5.40827 0.0002948720 -66.58187 36.004 0.007144 836.692 271.730 0.00141041750 0.00704721555 0.0000570416 0.0000932050 5937492.620 5896554.421 5901977.769 107.84280 -466.50322 -5.23406 0.0002942466 -70.29824 37.002 0.007342 836.903 271.842 0.00139277443 0.00705959612 0.0000562923 0.0000933169 5942770.333 5902263.033 5907298.065 110.55086 -478.31185 -5.04253 0.0002936092 -74.08838 38.000 0.007540 837.135 271.959 0.00137514424 0.00707146438 0.0000555412 0.0000934158 5948544.797 5908465.800 5913123.275 113.23468 -490.03992 -4.83282 0.0002929569 -77.97009 39.003 0.007739 837.388 272.081 0.00135744028 0.00708287338 0.0000547846 0.0000935020 5954849.618 5915198.235 5919487.366 115.90690 -501.74430 -4.60372 0.0002922866 -81.96297 40.001 0.007937 837.659 272.207 0.00133984277 0.00709370539 0.0000540305 0.0000935745 5961622.166 5922393.156 5926327.159 118.53991 -513.30562 -4.35748 0.0002916050 -86.02622 41.004 0.008136 837.952 272.339 0.00132217631 0.00710406665 0.0000532713 0.0000936342 5968931.660 5930123.772 5933712.598 121.15954 -524.83888 -4.09161 0.0002909056 -90.20019 42.002 0.008334 838.263 272.474 0.00130462076 0.00711384977 0.0000525151 0.0000936805 5976705.505 5938312.964 5941570.377 123.73871 -536.22638 -3.80873 0.0002901956 -94.44223 43.005 0.008533 838.595 272.615 0.00128700118 0.00712315022 0.0000517544 0.0000937136 5985023.169 5947044.071 5949980.862 126.30273 -547.58130 -3.50595 0.0002894680 -98.79448 44.003 0.008731 838.945 272.760 0.00126949703 0.00713187111 0.0000509970 0.0000937334 5993802.060 5956230.004 5958860.579 128.82505 -558.78770 -3.18628 0.0002887304 -103.21248 45.001 0.008929 839.315 272.909 0.00125202210 0.00714005702 0.0000502394 0.0000937400 6003083.774 5965914.076 5968251.627 131.31789 -569.90099 -2.84820 0.0002879794 -107.71717 46.004 0.009128 839.707 273.064 0.00123449078 0.00714774159 0.0000494780 0.0000937333 6012920.148 5976149.711 5978206.513 133.79283 -580.97469 -2.48983 0.0002872113 -112.33120 47.002 0.009326 840.116 273.223 0.00121708173 0.00715484389 0.0000487206 0.0000937135 6023213.529 5986834.799 5988626.450 136.22426 -591.89558 -2.11471 0.0002864341 -117.00746 48.005 0.009525 840.548 273.387 0.00119962159 0.00716143184 0.0000479599 0.0000936802 6034069.170 5998078.066 5999618.032 138.63595 -602.77200 -1.71901 0.0002856401 -121.79244 49.002 0.009723 840.996 273.555 0.00118228836 0.00716743533 0.0000472037 0.0000936339 6045379.313 6009767.321 6011072.194 141.00291 -613.49266 -1.30666 0.0002848376 -126.63727 50.000 0.009921 841.465 273.728 0.00116499673 0.00717288487 0.0000464484 0.0000935744 6057198.638 6021958.622 6023044.337 143.33656 -624.11046 -0.87566 0.0002840228 -131.56502 51.003 0.010120 841.955 273.906 0.00114766228 0.00717779963 0.0000456904 0.0000935014 6069592.196 6034718.183 6035600.418 145.64767 -634.67617 -0.42365 0.0002831919 -136.60041 52.001 0.010318 842.462 274.088 0.00113046183 0.00718212601 0.0000449377 0.0000934156 6082436.998 6047918.594 6048615.879 147.91225 -645.08152 0.04491 0.0002823533 -141.69203 53.004 0.010517 842.992 274.276 0.00111322430 0.00718590332 0.0000441827 0.0000933162 6095864.450 6061694.004 6062223.920 150.15239 -655.42947 0.53480 0.0002814990 -146.89051 54.002 0.010715 843.538 274.467 0.00109612561 0.00718908912 0.0000434334 0.0000932042 6109741.350 6075906.733 6076289.598 152.34479 -665.61386 1.04117 0.0002806376 -152.14276 55.000 0.010913 844.104 274.663 0.00107908174 0.00719169920 0.0000426862 0.0000930791 6124135.725 6090625.421 6090881.905 154.50005 -675.68475 1.56649 0.0002797653 -157.47388 56.003 0.011112 844.693 274.865 0.00106200980 0.00719373750 0.0000419375 0.0000929403 6139126.211 6105928.809 6106080.643 156.62796 -685.68987 2.11364 0.0002788778 -162.91054 57.001 0.011310 845.298 275.070 0.00104508420 0.00719517841 0.0000411951 0.0000927893 6154564.353 6121663.418 6121735.389 158.70636 -695.52632 2.67721 0.0002779844 -168.39723 58.004 0.011509 845.925 275.281 0.00102813689 0.00719603081 0.0000404517 0.0000926244 6170608.656 6137987.984 6138007.053 160.75543 -705.29099 3.26299 0.0002770761 -173.98849 59.002 0.011707 846.569 275.496 0.00101134122 0.00719627896 0.0000397150 0.0000924475 6187101.348 6154736.596 6154736.298 162.75370 -714.88299 3.86519 0.0002761625 -179.62724 60.005 0.011906 847.235 275.717 0.00099453025 0.00719592695 0.0000389778 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6446231.858 6380768.292 6421022.058 311.73784 276.71827 150.75117 0.0003022890 213.19377 341.005 0.067660 855.635 272.648 0.00233652121 0.00563143444 0.0000893359 0.0000693126 6422649.327 6357580.556 6397032.837 314.73593 262.84035 149.88755 0.0003026484 215.46211 342.003 0.067858 854.764 272.509 0.00232173890 0.00566927065 0.0000889978 0.0000699906 6399738.911 6335066.857 6373725.761 317.73045 249.02028 149.04850 0.0003029883 217.59798 343.001 0.068056 853.911 272.375 0.00230683209 0.00570667907 0.0000886479 0.0000706626 6377378.828 6313107.189 6350977.037 320.73597 235.19053 148.22954 0.0003033105 219.61342 344.004 0.068255 853.074 272.244 0.00229172792 0.00574384387 0.0000882846 0.0000713317 6355458.413 6291592.748 6328674.138 323.76723 221.28331 147.42664 0.0003036163 221.51806 345.002 0.068453 852.259 272.119 0.00227658150 0.00578039007 0.0000879114 0.0000719911 6334196.055 6270737.663 6307039.337 326.79328 207.44049 146.64779 0.0003039026 223.29313 346.005 0.068652 851.460 271.997 0.00226124313 0.00581668544 0.0000875249 0.0000726472 6313375.051 6250329.167 6285852.194 329.84415 193.52431 145.88505 0.0003041721 224.95695 347.003 0.068850 850.684 271.881 0.00224587016 0.00585236386 0.0000871290 0.0000732932 6293202.730 6230570.280 6265323.745 332.88867 179.67665 145.14603 0.0003044222 226.49318 348.000 0.069048 849.926 271.768 0.00223038895 0.00588760756 0.0000867219 0.0000739321 6273571.177 6211354.989 6245344.229 335.94162 165.82954 144.42676 0.0003046541 227.91088 349.003 0.069247 849.185 271.660 0.00221472360 0.00592259000 0.0000863017 0.0000745671 6254383.418 6192588.290 6225814.986 339.01794 151.91501 143.72371 0.0003048687 229.21673 350.001 0.069445 848.466 271.557 0.00219903462 0.00595695844 0.0000858725 0.0000751914 6235830.382 6174456.736 6206930.389 342.08616 138.07482 143.04386 0.0003050639 230.39802 351.004 0.069644 847.763 271.458 0.00218316656 0.00599105888 0.0000854303 0.0000758113 6217722.755 6156775.125 6188497.773 345.17674 124.17104 142.38029 0.0003052416 231.46710 352.002 0.069842 847.083 271.363 0.00216728188 0.00602454751 0.0000849796 0.0000764203 6200240.639 6139719.143 6170700.506 348.25805 110.34527 141.73959 0.0003053999 232.41366 353.000 0.070040 846.422 271.274 0.00215130398 0.00605759572 0.0000845184 0.0000770214 6183289.834 6123196.596 6153442.729 351.34505 96.52943 141.11831 0.0003055398 233.24381 354.003 0.070239 845.778 271.188 0.00213515435 0.00609036603 0.0000840443 0.0000776173 6166786.906 6107126.107 6136639.511 354.45279 82.65560 140.51339 0.0003056616 233.96131 355.001 0.070437 845.156 271.107 0.00211899815 0.00612252808 0.0000835624 0.0000782019 6150895.896 6091667.247 6120457.900 357.54949 68.86499 139.93086 0.0003057643 234.55940 356.004 0.070636 844.551 271.030 0.00210267498 0.00615440570 0.0000830678 0.0000787809 6135454.481 6076661.948 6104732.624 360.66582 55.02004 139.36475 0.0003058487 235.04458 357.002 0.070834 843.968 270.959 0.00208635165 0.00618567754 0.0000825658 0.0000793483 6120616.087 6062259.142 6089619.946 363.76988 41.26160 138.82069 0.0003059141 235.41243 358.005 0.071033 843.402 270.891 0.00206986602 0.00621665847 0.0000820513 0.0000799097 6106229.087 6048311.498 6074965.452 366.89244 27.45241 138.29313 0.0003059610 235.66716 359.003 0.071231 842.858 270.828 0.00205338646 0.00624703615 0.0000815298 0.0000804592 6092436.377 6034957.394 6060914.706 370.00152 13.73291 137.78730 0.0003059890 235.80667 360.001 0.071429 842.335 270.770 0.00203683294 0.00627696641 0.0000809987 0.0000809996 6079162.689 6022123.671 6047391.056 373.11220 0.03529 137.30045 0.0003059983 235.83302 Engine speed (Hz) = 14.0000000000 Output power (W) = 3301.6600839103 Heat into heater (W) = 5223.5707774626 Heat to regenerator (W) = 0.4940498732 Heat removal from cooler (W) = 1922.2062851255 Approximate Pumping loss (W) = -221.3165313582 Thermal efficiency (%) = 63.2069560186 The average engine pressure (Pa) = 8440399.6627097670 The exp space work per cycle (J) = 373.1172742622 The comp space work per cycle (J) = -137.2844111258 The net work per cycle (J) = 235.8328631364 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -909.8957584795 The expansion work for Vmin-to-Vmax (J) = 1145.7286216159 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 842.731 270.805 0.00203782019 0.00627436469 0.0000809982 0.0000810001 6085011.015 6020360.534 6049023.265 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000185 842.226 270.752 0.00202117323 0.00630390981 0.0000804572 0.0000815317 6072247.164 6008095.084 6035983.450 3.11005 -13.69572 -0.46943 0.0003059889 -0.09066 2.005 0.000371 841.739 270.703 0.00200436637 0.00633316095 0.0000799040 0.0000820566 6059934.459 5996284.914 6023402.509 6.23734 -27.44041 -0.92235 0.0003059606 -0.29516 3.004 0.000556 841.274 270.659 0.00198758287 0.00636180256 0.0000793448 0.0000825690 6048203.767 5985055.386 6011414.169 9.34762 -41.08465 -1.35393 0.0003059137 -0.61080 4.003 0.000741 840.829 270.620 0.00197073510 0.00638999208 0.0000787767 0.0000830715 6036986.019 5974340.037 5999947.870 12.45708 -54.70084 -1.76671 0.0003058482 -1.03789 5.002 0.000926 840.404 270.585 0.00195382553 0.00641772845 0.0000782000 0.0000835640 6026279.782 5964137.344 5989002.160 15.56511 -68.28740 -2.16076 0.0003057640 -1.57592 6.001 0.001111 839.998 270.555 0.00193685665 0.00644501061 0.0000776147 0.0000840464 6016083.675 5954445.835 5978575.631 18.67106 -81.84278 -2.53611 0.0003056611 -2.22436 7.000 0.001296 839.613 270.529 0.00191983088 0.00647183744 0.0000770211 0.0000845186 6006396.361 5945264.089 5968666.926 21.77431 -95.36543 -2.89283 0.0003055397 -2.98272 8.005 0.001482 839.245 270.508 0.00190265818 0.00649834914 0.0000764161 0.0000849828 5997168.314 5936545.235 5959225.374 24.89097 -108.92664 -3.23272 0.0003053989 -3.85546 9.004 0.001667 838.899 270.491 0.00188552558 0.00652425947 0.0000758064 0.0000854339 5988497.523 5928381.704 5950351.239 27.98687 -122.37905 -3.55219 0.0003052403 -4.83266 10.003 0.001852 838.572 270.479 0.00186834329 0.00654971102 0.0000751889 0.0000858743 5980331.828 5920723.988 5941991.168 31.07813 -135.79415 -3.85316 0.0003050632 -5.91820 11.002 0.002037 838.266 270.472 0.00185111365 0.00657470257 0.0000745639 0.0000863038 5972670.105 5913570.885 5934144.022 34.16411 -149.17043 -4.13565 0.0003048677 -7.11155 12.001 0.002222 837.980 270.469 0.00183383897 0.00659923286 0.0000739314 0.0000867224 5965511.289 5906921.247 5926808.716 37.24415 -162.50639 -4.39972 0.0003046538 -8.41217 13.005 0.002408 837.712 270.471 0.00181642786 0.00662342945 0.0000732882 0.0000871321 5958819.749 5900742.121 5919948.725 40.33418 -175.87227 -4.64668 0.0003044204 -9.82742 14.004 0.002593 837.465 270.477 0.00179906983 0.00664703080 0.0000726415 0.0000875284 5952666.481 5895098.912 5913636.843 43.40031 -189.12286 -4.87391 0.0003041699 -11.34153 15.003 0.002778 837.238 270.488 0.00178167366 0.00667016687 0.0000719880 0.0000879133 5947013.263 5889956.072 5907833.905 46.45850 -202.32863 -5.08282 0.0003039013 -12.96127 16.002 0.002963 837.031 270.503 0.00176424161 0.00669283624 0.0000713279 0.0000882867 5941859.264 5885312.685 5902539.072 49.50809 -215.48810 -5.27343 0.0003036146 -14.68610 17.001 0.003148 836.844 270.524 0.00174677592 0.00671503743 0.0000706613 0.0000886486 5937203.712 5881167.899 5897751.565 52.54839 -228.59977 -5.44578 0.0003033099 -16.51546 18.005 0.003334 836.676 270.548 0.00172918417 0.00673688509 0.0000699849 0.0000890007 5933024.776 5877502.558 5893448.907 55.59509 -241.73263 -5.60068 0.0003029856 -18.45953 19.004 0.003519 836.529 270.578 0.00171165776 0.00675814272 0.0000693061 0.0000893390 5929366.742 5874355.336 5889676.711 58.61472 -254.74396 -5.73648 0.0003026451 -20.49682 20.003 0.003704 836.402 270.612 0.00169410441 0.00677892741 0.0000686215 0.0000896655 5926205.216 5871704.512 5886409.892 61.62303 -267.70301 -5.85408 0.0003022870 -22.63695 21.002 0.003889 836.295 270.650 0.00167652631 0.00679923746 0.0000679313 0.0000899800 5923539.678 5869549.470 5883647.936 64.61931 -280.60828 -5.95351 0.0003019113 -24.87934 22.001 0.004074 836.207 270.694 0.00165892567 0.00681907112 0.0000672358 0.0000902824 5921369.674 5867889.662 5881390.391 67.60287 -293.45827 -6.03478 0.0003015182 -27.22342 23.000 0.004259 836.140 270.741 0.00164130469 0.00683842657 0.0000665351 0.0000905726 5919694.815 5866724.594 5879636.875 70.57301 -306.25147 -6.09791 0.0003011077 -29.66860 24.005 0.004445 836.092 270.794 0.00162357017 0.00685740264 0.0000658256 0.0000908521 5918509.742 5866051.553 5878381.688 73.54498 -319.05504 -6.14310 0.0003006776 -32.22834 25.004 0.004630 836.064 270.851 0.00160591500 0.00687579335 0.0000651151 0.0000911176 5917826.938 5865877.405 5877638.077 76.48610 -331.72978 -6.16987 0.0003002328 -34.87451 26.003 0.004815 836.057 270.913 0.00158824606 0.00689370000 0.0000644002 0.0000913708 5917638.503 5866196.886 5877397.758 79.41169 -344.34315 -6.17852 0.0002997709 -37.62001 27.002 0.005000 836.069 270.979 0.00157056555 0.00691112050 0.0000636809 0.0000916114 5917944.312 5867009.746 5877660.623 82.32104 -356.89360 -6.16906 0.0002992923 -40.46424 28.001 0.005185 836.101 271.050 0.00155287564 0.00692805271 0.0000629576 0.0000918394 5918744.305 5868315.794 5878426.634 85.21343 -369.37959 -6.14148 0.0002987970 -43.40659 29.005 0.005371 836.154 271.126 0.00153508287 0.00694458195 0.0000622264 0.0000920560 5920046.830 5870125.965 5879704.049 88.10364 -381.86650 -6.09549 0.0002982824 -46.46316 30.004 0.005556 836.226 271.206 0.00151738075 0.00696052817 0.0000614955 0.0000922586 5921837.957 5872420.721 5881479.236 90.95985 -394.21848 -6.03159 0.0002977541 -49.60045 31.003 0.005741 836.318 271.291 0.00149967584 0.00697597919 0.0000607612 0.0000924485 5924123.495 5875208.448 5883757.874 93.79694 -406.50125 -5.94955 0.0002972097 -52.83401 32.002 0.005926 836.429 271.381 0.00148197034 0.00699093258 0.0000600237 0.0000926255 5926903.657 5878489.187 5886540.205 96.61418 -418.71322 -5.84939 0.0002966492 -56.16322 33.001 0.006111 836.561 271.475 0.00146426648 0.00700538581 0.0000592832 0.0000927896 5930178.719 5882263.038 5889826.540 99.41084 -430.85275 -5.73108 0.0002960728 -59.58745 34.000 0.006296 836.713 271.574 0.00144656647 0.00701933627 0.0000585400 0.0000929408 5933949.027 5886530.156 5893617.263 102.18618 -442.91821 -5.59462 0.0002954808 -63.10605 35.005 0.006482 836.885 271.678 0.00142877693 0.00703285259 0.0000577902 0.0000930797 5938239.402 5891317.823 5897937.416 104.95429 -454.97255 -5.43909 0.0002948700 -66.73816 36.004 0.006667 837.076 271.786 0.00141109139 0.00704578665 0.0000570422 0.0000932049 5943004.193 5896574.823 5902741.073 107.68466 -466.88448 -5.26616 0.0002942470 -70.44407 37.003 0.006852 837.287 271.899 0.00139341646 0.00705820964 0.0000562920 0.0000933169 5948265.676 5902325.877 5908050.688 110.39150 -478.71730 -5.07501 0.0002936090 -74.24239 38.002 0.007037 837.518 272.016 0.00137575441 0.00707011864 0.0000555401 0.0000934159 5954024.467 5908571.349 5913866.923 113.07406 -490.46932 -4.86563 0.0002929560 -78.13245 39.001 0.007222 837.769 272.138 0.00135810753 0.00708151063 0.0000547865 0.0000935018 5960281.250 5915311.654 5920190.511 115.73159 -502.13879 -4.63798 0.0002922883 -82.11359 40.005 0.007408 838.041 272.266 0.00134038287 0.00709243985 0.0000540275 0.0000935748 5967074.650 5922587.712 5927060.566 118.37750 -513.78636 -4.39066 0.0002916023 -86.20738 41.004 0.007593 838.331 272.397 0.00132277337 0.00710278560 0.0000532713 0.0000936342 5974332.442 5930321.793 5934404.092 120.98259 -525.28499 -4.12629 0.0002909056 -90.36909 42.003 0.007778 838.641 272.533 0.00130518602 0.00711260476 0.0000525143 0.0000936805 5982090.687 5938552.230 5942257.593 123.56039 -536.69573 -3.84356 0.0002901948 -94.61981 43.002 0.007963 838.971 272.674 0.00128762318 0.00712189397 0.0000517566 0.0000937136 5990350.341 5947279.612 5950622.080 126.11015 -548.01677 -3.54244 0.0002894701 -98.95882 44.001 0.008148 839.321 272.819 0.00127008725 0.00713064977 0.0000509984 0.0000937334 5999112.425 5956504.568 5959498.636 128.63111 -559.24623 -3.22289 0.0002887318 -103.38541 45.005 0.008334 839.692 272.970 0.00125248609 0.00713891157 0.0000502359 0.0000937400 6008429.484 5966281.678 5968940.563 131.13589 -570.44220 -2.88298 0.0002879759 -107.92349 46.004 0.008519 840.081 273.125 0.00123501140 0.00714658688 0.0000494774 0.0000937333 6018202.499 5976506.508 5978847.563 133.59681 -581.48235 -2.52633 0.0002872108 -112.52351 47.003 0.008704 840.490 273.284 0.00121757093 0.00715371783 0.0000487193 0.0000937134 6028481.429 5987231.001 5989270.304 136.02663 -592.42521 -2.15111 0.0002864327 -117.20891 48.002 0.008889 840.918 273.448 0.00120016718 0.00716030057 0.0000479615 0.0000936803 6039267.571 5998455.904 6000210.151 138.42461 -603.26881 -1.75727 0.0002856418 -121.97893 49.001 0.009074 841.366 273.616 0.00118280265 0.00716633117 0.0000472045 0.0000936340 6050562.296 6010181.977 6011668.542 140.78996 -614.01115 -1.34477 0.0002848385 -126.83280 50.000 0.009259 841.833 273.790 0.00116547992 0.00717180558 0.0000464484 0.0000935744 6062367.049 6022409.994 6023646.993 143.12192 -624.65020 -0.91355 0.0002840228 -131.76975 51.005 0.009445 842.323 273.969 0.00114810827 0.00717674467 0.0000456894 0.0000935013 6074751.319 6035210.910 6036216.085 145.43205 -635.24056 -0.46106 0.0002831907 -136.81634 52.004 0.009630 842.830 274.151 0.00113087714 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274.112 0.00246453681 0.00526788160 0.0000918382 0.0000629615 6659674.858 6582191.999 6635156.769 287.60446 386.68469 159.35304 0.0002987998 189.00692 333.004 0.061667 863.652 273.934 0.00245103479 0.00530954923 0.0000916101 0.0000636849 6631729.093 6554643.181 6606681.835 290.47637 373.04534 158.32794 0.0002992950 192.24273 334.003 0.061852 862.634 273.760 0.00243737456 0.00535080725 0.0000913694 0.0000644041 6604349.299 6527666.897 6578780.972 293.36338 359.37454 157.32351 0.0002997735 195.35517 335.002 0.062037 861.634 273.591 0.00242355999 0.00539165316 0.0000911162 0.0000651191 6577533.901 6501261.282 6551452.768 296.26508 345.67483 156.33969 0.0003002352 198.34446 336.001 0.062222 860.653 273.426 0.00240959490 0.00543208462 0.0000908506 0.0000658295 6551281.271 6475424.425 6524695.742 299.18105 331.94873 155.37644 0.0003006800 201.21088 337.005 0.062408 859.684 273.265 0.00239540640 0.00547231454 0.0000905711 0.0000665389 6525452.376 6450019.316 6498368.336 302.12672 318.12432 154.42865 0.0003011100 203.96919 338.004 0.062593 858.739 273.109 0.00238115076 0.00551190822 0.0000902808 0.0000672396 6500323.214 6425317.130 6472752.029 305.06997 304.35267 153.50647 0.0003015204 206.59002 339.003 0.062778 857.813 272.957 0.00236675574 0.00555108108 0.0000899783 0.0000679352 6475751.639 6401177.731 6447702.078 308.02617 290.56188 152.60467 0.0003019134 209.08883 340.002 0.062963 856.905 272.810 0.00235222493 0.00558983121 0.0000896637 0.0000686253 6451735.852 6377599.074 6423216.777 310.99484 276.75426 151.72320 0.0003022890 211.46594 341.001 0.063148 856.016 272.668 0.00233756186 0.00562815682 0.0000893372 0.0000693099 6428274.026 6354579.095 6399294.381 313.97551 262.93207 150.86199 0.0003026470 213.72167 342.005 0.063334 855.140 272.529 0.00232268970 0.00566625988 0.0000889969 0.0000699923 6405241.968 6331995.798 6375808.354 316.98391 249.02273 150.01650 0.0003029892 215.86756 343.004 0.063519 854.288 272.395 0.00230777180 0.00570372905 0.0000886466 0.0000706650 6382885.456 6310089.913 6353009.416 319.98719 235.17799 149.19573 0.0003033116 217.88090 344.003 0.063704 853.455 272.266 0.00229273193 0.00574076880 0.0000882847 0.0000713315 6361077.282 6288736.425 6330767.947 323.00102 221.32523 148.39504 0.0003036162 219.77391 345.002 0.063889 852.641 272.141 0.00227757338 0.00577737763 0.0000879112 0.0000719916 6339815.549 6267933.231 6309082.095 326.02487 207.46655 147.61435 0.0003039028 221.54696 346.001 0.064074 851.846 272.020 0.00226229942 0.00581355414 0.0000875262 0.0000726451 6319098.352 6247678.232 6287949.990 329.05824 193.60401 146.85359 0.0003041713 223.20043 347.000 0.064259 851.070 271.904 0.00224691325 0.00584929698 0.0000871299 0.0000732918 6298923.785 6227969.334 6267369.755 332.10062 179.73963 146.11271 0.0003044217 224.73471 348.005 0.064445 850.309 271.792 0.00223133400 0.00588479452 0.0000867202 0.0000739349 6279185.278 6208702.332 6247232.725 335.16798 165.80045 145.38777 0.0003046550 226.15753 349.004 0.064630 849.572 271.685 0.00221573229 0.00591966382 0.0000863015 0.0000745673 6260093.165 6190082.314 6227753.535 338.22680 151.93831 144.68652 0.0003048688 227.45400 350.003 0.064815 848.853 271.583 0.00220002774 0.00595409569 0.0000858719 0.0000751923 6241537.971 6172002.168 6208820.554 341.29302 138.08018 144.00493 0.0003050642 228.63250 351.002 0.065000 848.154 271.485 0.00218422334 0.00598808899 0.0000854314 0.0000758098 6223517.816 6154459.856 6190431.906 344.36609 124.22795 143.34294 0.0003052412 229.69345 352.001 0.065185 847.474 271.391 0.00216832207 0.00602164257 0.0000849803 0.0000764195 6206030.835 6137453.359 6172585.726 347.44544 110.38346 142.70048 0.0003053997 230.63730 353.005 0.065371 846.810 271.301 0.00215224016 0.00605493314 0.0000845160 0.0000770244 6188984.968 6120893.090 6155188.087 350.54722 96.47378 142.07417 0.0003055404 231.46863 354.004 0.065556 846.169 271.217 0.00213615341 0.00608760166 0.0000840438 0.0000776179 6172561.670 6104955.142 6138424.217 353.63750 82.65028 141.47067 0.0003056618 232.17895 355.003 0.065741 845.547 271.137 0.00211997846 0.00611982725 0.0000835613 0.0000782031 6156666.059 6089547.103 6122197.310 356.73237 68.83992 140.88650 0.0003057645 232.77350 356.002 0.065926 844.945 271.061 0.00210371810 0.00615160888 0.0000830687 0.0000787799 6141296.360 6074667.072 6106505.576 359.83125 55.04444 140.32160 0.0003058486 233.25274 357.001 0.066111 844.362 270.990 0.00208737511 0.00618294554 0.0000825662 0.0000793479 6126450.827 6060313.178 6091347.253 362.93356 41.26554 139.77590 0.0003059140 233.61713 358.000 0.066296 843.799 270.923 0.00207095220 0.00621383620 0.0000820538 0.0000799071 6112127.745 6046483.588 6076720.611 366.03870 27.50494 139.24934 0.0003059608 233.86713 359.005 0.066482 843.252 270.861 0.00205436266 0.00624444322 0.0000815288 0.0000804602 6098252.239 6033105.997 6062549.187 369.16289 13.69008 138.73917 0.0003059890 234.00366 360.004 0.066667 842.729 270.803 0.00203778755 0.00627443647 0.0000809972 0.0000810011 6084971.857 6020322.489 6048983.691 372.27192 -0.02883 138.25081 0.0003059983 234.02574 Engine speed (Hz) = 15.0000000000 Output power (W) = 3510.3832265848 Heat into heater (W) = 5584.0788404672 Heat to regenerator (W) = -0.4324958263 Heat removal from cooler (W) = 2073.7621082011 Approximate Pumping loss (W) = -268.4471028268 Thermal efficiency (%) = 62.8641415509 The average engine pressure (Pa) = 8441199.0016634651 The exp space work per cycle (J) = 372.2462845904 The comp space work per cycle (J) = -138.2207361514 The net work per cycle (J) = 234.0255484390 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -910.7877715251 The expansion work for Vmin-to-Vmax (J) = 1144.8133199640 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 843.149 270.840 0.00203890796 0.00627154836 0.0000809991 0.0000809992 6091208.050 6018510.578 6050770.801 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000174 842.643 270.788 0.00202220294 0.00630122318 0.0000804564 0.0000815325 6078408.927 6006270.987 6037658.572 3.11484 -13.74730 -0.47204 0.0003059889 -0.09522 2.004 0.000348 842.158 270.740 0.00200542763 0.00633044542 0.0000799044 0.0000820562 6066128.041 5994551.352 6025074.953 6.23014 -27.46990 -0.92505 0.0003059606 -0.30363 3.001 0.000521 841.695 270.697 0.00198868161 0.00635904997 0.0000793466 0.0000825673 6054430.006 5983412.938 6013086.186 9.32738 -41.08752 -1.35665 0.0003059139 -0.62254 4.003 0.000695 841.248 270.658 0.00197177383 0.00638736647 0.0000787767 0.0000830715 6043178.116 5972725.404 6001552.179 12.44175 -54.75601 -1.77187 0.0003058482 -1.05515 5.005 0.000869 840.822 270.624 0.00195480342 0.00641522716 0.0000781981 0.0000835656 6032440.044 5962553.087 5990542.290 15.55469 -68.39496 -2.16823 0.0003057637 -1.59943 6.002 0.001042 840.418 270.594 0.00193787094 0.00644247477 0.0000776143 0.0000840468 6022271.713 5952948.549 5980113.894 18.64772 -81.92469 -2.54365 0.0003056611 -2.25077 7.004 0.001216 840.031 270.569 0.00192078308 0.00646942315 0.0000770188 0.0000845204 6012554.245 5943799.333 5970145.082 21.75594 -95.50005 -2.90253 0.0003055392 -3.01618 8.001 0.001389 839.666 270.549 0.00190373868 0.00649576141 0.0000764185 0.0000849810 6003398.071 5935209.241 5960749.150 24.84300 -108.96346 -3.24078 0.0003053995 -3.88636 9.003 0.001563 839.319 270.533 0.00188654310 0.00652179287 0.0000758069 0.0000854335 5994696.115 5927077.650 5951816.231 27.94393 -122.46902 -3.56236 0.0003052404 -4.87084 10.005 0.001737 838.992 270.522 0.00186929713 0.00654736273 0.0000751874 0.0000858754 5986501.593 5919454.413 5943400.935 31.04024 -135.93727 -3.86532 0.0003050627 -5.96436 11.002 0.001910 838.686 270.515 0.00185210265 0.00657232677 0.0000745639 0.0000863038 5978856.127 5912377.771 5935546.045 34.11350 -149.28960 -4.14809 0.0003048677 -7.15917 12.004 0.002084 838.399 270.513 0.00183476325 0.00659697230 0.0000739293 0.0000867238 5971670.271 5905764.764 5928159.679 37.19860 -162.67887 -4.41400 0.0003046531 -8.46856 13.000 0.002257 838.133 270.515 0.00181748053 0.00662101473 0.0000732913 0.0000871302 5965025.631 5899690.320 5921325.729 40.25942 -175.94966 -4.66002 0.0003044215 -9.87692 14.003 0.002431 837.885 270.522 0.00180005701 0.00664473064 0.0000726425 0.0000875278 5958844.446 5894083.182 5914964.234 43.33066 -189.25389 -4.88904 0.0003041703 -11.40000 15.005 0.002605 837.657 270.534 0.00178259479 0.00666797829 0.0000719868 0.0000879139 5953165.687 5888978.933 5909115.276 46.39395 -202.51319 -5.09960 0.0003039008 -13.02941 16.001 0.002778 837.451 270.550 0.00176519681 0.00669062666 0.0000713283 0.0000882864 5948016.850 5884401.671 5903807.231 49.43107 -215.65027 -5.29069 0.0003036148 -14.75432 17.004 0.002952 837.263 270.571 0.00174766421 0.00671293605 0.0000706596 0.0000886495 5943337.649 5880297.623 5898977.968 52.47646 -228.81548 -5.46454 0.0003033091 -16.59410 18.000 0.003125 837.096 270.596 0.00173020078 0.00673464850 0.0000699886 0.0000889988 5939181.175 5876713.173 5894682.296 55.49444 -241.85600 -5.61919 0.0003029874 -18.52706 19.002 0.003299 836.948 270.626 0.00171260685 0.00675601340 0.0000693076 0.0000893383 5935498.740 5873606.146 5890869.916 58.51920 -254.92108 -5.75643 0.0003026459 -20.57497 20.004 0.003473 836.820 270.661 0.00169498553 0.00677690219 0.0000686208 0.0000896658 5932315.230 5870998.018 5887566.549 61.53259 -267.93368 -5.87535 0.0003022866 -22.72639 21.001 0.003646 836.712 270.700 0.00167744056 0.00679719721 0.0000679323 0.0000899795 5929644.143 5868898.876 5884786.297 64.51668 -280.81796 -5.97544 0.0003019119 -24.96749 22.003 0.003820 836.624 270.744 0.00165977132 0.00681713130 0.0000672345 0.0000902829 5927454.155 5867283.896 5882496.579 67.50528 -293.72134 -6.05787 0.0003015175 -27.32360 23.005 0.003994 836.556 270.793 0.00164208139 0.00683658389 0.0000665315 0.0000905741 5925761.758 5866166.146 5880714.557 70.48041 -306.56766 -6.12202 0.0003011056 -29.78146 24.002 0.004167 836.508 270.846 0.00162447482 0.00685544544 0.0000658276 0.0000908513 5924572.084 5865547.340 5879445.802 73.42436 -319.28206 -6.16770 0.0003006789 -32.32550 25.004 0.004341 836.480 270.904 0.00160675026 0.00687393202 0.0000651149 0.0000911177 5923871.134 5865419.950 5878675.416 76.37048 -332.00998 -6.19543 0.0003002326 -34.98453 26.001 0.004514 836.472 270.966 0.00158911365 0.00689182909 0.0000644017 0.0000913702 5923666.786 5865785.128 5878412.090 79.28419 -344.60358 -6.20491 0.0002997719 -37.72740 27.003 0.004688 836.483 271.033 0.00157136331 0.00690934145 0.0000636801 0.0000916116 5923956.563 5866646.840 5878652.689 82.19846 -357.20690 -6.19625 0.0002992918 -40.58520 28.005 0.004862 836.515 271.105 0.00155360336 0.00692636204 0.0000629544 0.0000918404 5924743.028 5868004.204 5879400.167 85.09567 -369.74538 -6.16934 0.0002987948 -43.54176 29.002 0.005035 836.566 271.181 0.00153593816 0.00694279503 0.0000622290 0.0000920552 5926017.408 5869845.016 5880645.916 87.95862 -382.14594 -6.12450 0.0002982843 -46.57863 30.004 0.005209 836.638 271.262 0.00151816570 0.00695882805 0.0000614958 0.0000922585 5927794.526 5872190.479 5882404.455 90.81966 -394.55035 -6.06119 0.0002977543 -49.73030 31.000 0.005382 836.728 271.347 0.00150049247 0.00697427443 0.0000607633 0.0000924479 5930054.110 5875013.610 5884655.758 93.64519 -406.81444 -5.98014 0.0002972113 -52.95991 32.003 0.005556 836.840 271.437 0.00148271639 0.00698931025 0.0000600234 0.0000926255 5932822.508 5878347.080 5887426.114 96.46714 -419.07835 -5.88041 0.0002966490 -56.30418 33.005 0.005730 836.971 271.532 0.00146494185 0.00700384221 0.0000592806 0.0000927902 5936088.381 5882176.083 5890704.299 99.26838 -431.26935 -5.76239 0.0002960707 -59.74407 34.001 0.005903 837.121 271.632 0.00144727323 0.00701778850 0.0000585392 0.0000929410 5939829.039 5886474.494 5894467.504 102.03227 -443.31636 -5.62692 0.0002954802 -63.25836 35.004 0.006077 837.292 271.736 0.00142950852 0.00703130763 0.0000577910 0.0000930796 5944088.157 5891292.200 5898759.708 104.79001 -455.35697 -5.47240 0.0002948706 -66.88702 36.000 0.006250 837.482 271.844 0.00141185417 0.00704424141 0.0000570449 0.0000932044 5948817.274 5896574.074 5903532.117 107.50916 -467.25111 -5.30059 0.0002942493 -70.58769 37.002 0.006424 837.693 271.958 0.00139410837 0.00705673648 0.0000562923 0.0000933169 5954071.629 5902381.478 5908840.519 110.22042 -479.13456 -5.10949 0.0002936092 -74.40248 38.004 0.006598 837.923 272.076 0.00137637548 0.00706871362 0.0000555379 0.0000934162 5959825.958 5908685.657 5914659.484 112.90725 -490.93662 -4.90001 0.0002929541 -78.30961 39.001 0.006771 838.172 272.199 0.00135875962 0.00708010539 0.0000547862 0.0000935018 5966043.588 5915446.501 5920951.930 115.55366 -502.58842 -4.67348 0.0002922880 -82.28516 40.003 0.006945 838.443 272.326 0.00134105945 0.00709104034 0.0000540288 0.0000935747 5972797.172 5922742.611 5927791.433 118.18950 -514.22287 -4.42726 0.0002916035 -86.37438 41.005 0.007119 838.733 272.458 0.00132337922 0.00710144788 0.0000532703 0.0000936343 5980053.057 5930536.826 5935143.995 120.79864 -525.77058 -4.16256 0.0002909046 -90.55387 42.002 0.007292 839.041 272.595 0.00130582271 0.00711126942 0.0000525151 0.0000936805 5987766.124 5938780.589 5942963.914 123.36555 -537.16411 -3.88105 0.0002901956 -94.79814 43.004 0.007466 839.371 272.736 0.00128818934 0.00712061509 0.0000517549 0.0000937136 5996026.521 5947569.770 5951342.636 125.91915 -548.53335 -3.57941 0.0002894685 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873.978 275.702 0.00256728148 0.00491633057 0.0000932038 0.0000570493 6909117.991 6818882.298 6886695.532 264.51069 494.38180 169.34973 0.0002942530 156.86915 325.002 0.056424 872.808 275.490 0.00255524139 0.00496105941 0.0000930788 0.0000577954 6876727.886 6786860.290 6853647.787 267.23543 481.13664 168.16001 0.0002948742 161.08487 326.004 0.056598 871.649 275.281 0.00254293888 0.00500566279 0.0000929401 0.0000585436 6844726.945 6755239.967 6820992.193 269.99394 467.76010 166.98441 0.0002954837 165.19983 327.001 0.056771 870.513 275.078 0.00253051970 0.00504962418 0.0000927893 0.0000592849 6813482.104 6724383.492 6789103.577 272.75420 454.40897 165.83642 0.0002960742 169.16684 328.003 0.056945 869.388 274.878 0.00251784464 0.00509344813 0.0000926245 0.0000600278 6782631.142 6693932.742 6757612.619 275.54780 440.93188 164.70274 0.0002966523 173.03187 329.005 0.057119 868.280 274.682 0.00250498922 0.00513687589 0.0000924469 0.0000607676 6752355.207 6664066.265 6726704.530 278.35849 427.40881 163.59005 0.0002972145 176.77175 330.002 0.057292 867.196 274.492 0.00249203307 0.00517965800 0.0000922574 0.0000615001 6722822.153 6634949.112 6696551.020 281.16961 413.92073 162.50453 0.0002977575 180.36624 331.004 0.057466 866.123 274.306 0.00247883055 0.00522228591 0.0000920540 0.0000622333 6693689.267 6606243.014 6666802.474 284.01331 400.31452 161.43358 0.0002982873 183.85704 332.001 0.057639 865.074 274.124 0.00246553747 0.00526426671 0.0000918391 0.0000629587 6665290.046 6578276.212 6637799.711 286.85652 386.74928 160.38948 0.0002987978 187.20424 333.003 0.057813 864.037 273.947 0.00245200417 0.00530608289 0.0000916103 0.0000636844 6637294.729 6550723.601 6609206.222 289.73173 373.07091 159.36011 0.0002992946 190.44673 334.005 0.057987 863.017 273.773 0.00243831100 0.00534748794 0.0000913688 0.0000644059 6609867.594 6523746.644 6581190.005 292.62213 359.36034 158.35153 0.0002997747 193.56504 335.002 0.058160 862.022 273.605 0.00242454190 0.00538824493 0.0000911162 0.0000651191 6583159.812 6497493.542 6553905.727 295.51059 345.69922 157.36930 0.0003002352 196.54256 336.004 0.058334 861.039 273.441 0.00241054155 0.00542882264 0.0000908497 0.0000658318 6556860.992 6471658.846 6527036.505 298.43007 331.93214 156.40200 0.0003006814 199.41396 337.000 0.058507 860.080 273.282 0.00239647460 0.00546875240 0.0000905724 0.0000665356 6531271.753 6446537.536 6500889.665 301.34658 318.21981 155.46072 0.0003011080 202.14651 338.003 0.058681 859.134 273.126 0.00238218217 0.00550849367 0.0000902812 0.0000672386 6506094.540 6421837.177 6475161.347 304.29340 304.40613 154.53450 0.0003015198 204.77210 339.005 0.058855 858.206 272.975 0.00236774881 0.00554781239 0.0000899777 0.0000679364 6481477.115 6397702.556 6450002.687 307.25325 290.57267 153.62879 0.0003019141 207.27487 340.001 0.059028 857.302 272.829 0.00235326229 0.00558648429 0.0000896640 0.0000686248 6457554.354 6374265.452 6425551.698 310.20856 276.80143 152.74855 0.0003022888 209.64181 341.004 0.059202 856.411 272.687 0.00233855868 0.00562495462 0.0000893364 0.0000693116 6434047.869 6351252.828 6401523.981 313.19301 262.93549 151.88355 0.0003026479 211.90061 342.006 0.059376 855.539 272.549 0.00232372483 0.00566299684 0.0000889968 0.0000699925 6411095.686 6328799.661 6378060.732 316.18908 249.05664 151.03888 0.0003029893 214.03757 343.002 0.059549 854.691 272.416 0.00230885053 0.00570039436 0.0000886474 0.0000706635 6388823.089 6307028.080 6355290.156 319.17896 235.24695 150.21914 0.0003033109 216.04182 344.004 0.059723 853.857 272.288 0.00229376723 0.00573757793 0.0000882843 0.0000713322 6366970.708 6285684.271 6332947.192 322.19672 221.34892 149.41479 0.0003036165 217.93689 345.001 0.059896 853.046 272.164 0.00227865158 0.00577411864 0.0000879117 0.0000719907 6345787.842 6265011.462 6311286.829 325.20717 207.52439 148.63502 0.0003039024 219.70135 346.003 0.060070 852.250 272.044 0.00226333213 0.00581043750 0.0000875255 0.0000726463 6325027.704 6244768.544 6290056.807 328.24461 193.61562 147.87073 0.0003041718 221.35600 347.005 0.060244 851.472 271.928 0.00224789916 0.00584632063 0.0000871279 0.0000732950 6304812.403 6225074.480 6269382.060 331.29112 179.70455 147.12644 0.0003044229 222.89067 348.002 0.060417 850.719 271.818 0.00223244550 0.00588156425 0.0000867214 0.0000739330 6285251.544 6206035.643 6249374.771 334.32861 165.87313 146.40618 0.0003046544 224.29799 349.004 0.060591 849.980 271.711 0.00221679562 0.00591657451 0.0000863013 0.0000745675 6266117.094 6187429.844 6229801.769 337.39165 151.96343 145.70155 0.0003048689 225.59462 350.001 0.060764 849.264 271.610 0.00220113247 0.00595094778 0.0000858728 0.0000751910 6247627.118 6169468.889 6210886.176 340.44449 138.13724 145.02059 0.0003050638 226.76608 351.003 0.060938 848.563 271.512 0.00218527801 0.00598508023 0.0000854309 0.0000758105 6229565.987 6151943.084 6192407.451 343.52188 124.23663 144.35536 0.0003052414 227.82634 352.005 0.061112 847.882 271.419 0.00216932550 0.00601877075 0.0000849783 0.0000764221 6212040.260 6134955.769 6174474.647 346.60564 110.34340 143.70978 0.0003054004 228.76872 353.002 0.061285 847.224 271.331 0.00215337038 0.00605182839 0.0000845177 0.0000770223 6195144.223 6118597.948 6157184.298 349.67742 96.53917 143.08732 0.0003055400 229.58925 354.004 0.061459 846.582 271.247 0.00213723111 0.00608463423 0.0000840440 0.0000776177 6178680.727 6102678.538 6140334.693 352.77218 82.66616 142.48074 0.0003056617 230.29788 355.000 0.061632 845.963 271.168 0.00212109605 0.00611681011 0.0000835628 0.0000782015 6162837.228 6087378.591 6124117.717 355.85376 68.88560 141.89693 0.0003057642 230.88690 356.003 0.061806 845.359 271.093 0.00210478148 0.00614872694 0.0000830686 0.0000787801 6147428.796 6072519.319 6108344.110 358.95721 55.03994 141.32908 0.0003058486 231.36359 357.005 0.061980 844.775 271.022 0.00208838321 0.00618019641 0.0000825643 0.0000793499 6132546.787 6058188.803 6093107.402 362.06415 41.21061 140.78056 0.0003059142 231.72467 358.001 0.062153 844.214 270.957 0.00207199894 0.00621104046 0.0000820532 0.0000799077 6118270.504 6044463.024 6078488.827 365.15609 27.47865 140.25429 0.0003059609 231.96954 359.004 0.062327 843.670 270.895 0.00205544196 0.00624161463 0.0000815294 0.0000804596 6104433.230 6031181.506 6064317.693 368.26819 13.68701 139.74413 0.0003059890 232.10150 360.006 0.062501 843.145 270.838 0.00203880944 0.00627173831 0.0000809960 0.0000810023 6091117.350 6018423.332 6050678.372 371.38198 -0.08321 139.25311 0.0003059983 232.11930 Engine speed (Hz) = 16.0000000000 Output power (W) = 3713.9051475044 Heat into heater (W) = 5942.1116759887 Heat to regenerator (W) = -1.3314244310 Heat removal from cooler (W) = 2228.0497753080 Approximate Pumping loss (W) = -321.5750799750 Thermal efficiency (%) = 62.5014363583 The average engine pressure (Pa) = 8442025.5154765490 The exp space work per cycle (J) = 371.3300836540 The comp space work per cycle (J) = -139.2110119350 The net work per cycle (J) = 232.1190717190 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -911.7291028773 The expansion work for Vmin-to-Vmax (J) = 1143.8481745964 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 843.585 270.876 0.00203993069 0.00626880146 0.0000809962 0.0000810021 6097634.763 6016463.171 6052513.911 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000164 843.083 270.825 0.00202329929 0.00629837160 0.0000804560 0.0000815329 6084903.993 6004351.067 6039433.082 3.09473 -13.69045 -0.47091 0.0003059889 -0.09963 2.001 0.000327 842.600 270.778 0.00200659776 0.00632749376 0.0000799066 0.0000820542 6072685.506 5992753.270 6026876.040 6.18996 -27.35676 -0.92296 0.0003059608 -0.31139 3.004 0.000491 842.134 270.735 0.00198972559 0.00635634141 0.0000793448 0.0000825690 6060907.567 5981601.748 6014769.051 9.30405 -41.08091 -1.35881 0.0003059137 -0.63712 4.002 0.000654 841.690 270.698 0.00197289109 0.00638456163 0.0000787775 0.0000830708 6049712.361 5971030.931 6003258.291 12.39841 -54.69394 -1.77320 0.0003058483 -1.07234 5.005 0.000818 841.263 270.664 0.00195589022 0.00641249959 0.0000781981 0.0000835656 6038961.111 5960909.587 5992201.085 15.51038 -68.36127 -2.17126 0.0003057637 -1.62188 6.003 0.000981 840.859 270.636 0.00193893282 0.00643981344 0.0000776136 0.0000840473 6028783.576 5951359.683 5981730.899 18.60137 -81.91465 -2.54819 0.0003056609 -2.27854 7.001 0.001144 840.474 270.611 0.00192191786 0.00646667378 0.0000770209 0.0000845187 6019111.344 5942316.536 5971777.397 21.68974 -95.43594 -2.90651 0.0003055397 -3.04480 8.004 0.001308 840.107 270.592 0.00190474287 0.00649324004 0.0000764164 0.0000849826 6009888.474 5933727.970 5962282.994 24.79376 -109.00625 -3.24831 0.0003053990 -3.92586 9.002 0.001471 839.761 270.577 0.00188761972 0.00651918703 0.0000758075 0.0000854331 6001226.239 5925697.418 5953362.252 27.87494 -122.45852 -3.56946 0.0003052406 -4.91044 10.005 0.001635 839.434 270.566 0.00187034072 0.00654483187 0.0000751871 0.0000858755 5993017.193 5918125.083 5944904.532 30.97042 -135.95628 -3.87394 0.0003050627 -6.01010 11.003 0.001798 839.128 270.560 0.00185311897 0.00656986055 0.0000745629 0.0000863044 5985360.354 5911102.115 5937011.865 34.04181 -149.33338 -4.15807 0.0003048674 -7.21090 12.001 0.001961 838.842 270.559 0.00183585160 0.00659442955 0.0000739314 0.0000867224 5978203.095 5904579.664 5929630.054 37.10734 -162.67072 -4.42382 0.0003046538 -8.51866 13.004 0.002125 838.574 270.562 0.00181843460 0.00661868399 0.0000732887 0.0000871318 5971505.125 5898521.243 5922717.520 40.18510 -176.04822 -4.67267 0.0003044205 -9.94187 14.002 0.002288 838.327 270.570 0.00180108269 0.00664232671 0.0000726429 0.0000875275 5965347.202 5892999.708 5916357.623 43.23689 -189.30124 -4.90163 0.0003041704 -11.46261 15.006 0.002452 838.099 270.582 0.00178358528 0.00666564636 0.0000719863 0.0000879142 5959652.899 5887946.335 5910471.445 46.29948 -202.59086 -5.11353 0.0003039006 -13.09899 16.003 0.002615 837.892 270.599 0.00176615805 0.00668835706 0.0000713271 0.0000882871 5954490.851 5883421.841 5905129.954 49.33484 -215.75349 -5.30582 0.0003036142 -14.83051 17.001 0.002778 837.705 270.620 0.00174869668 0.00671060091 0.0000706616 0.0000886485 5949824.075 5879393.042 5900294.952 52.36101 -228.86880 -5.47988 0.0003033100 -16.66627 18.004 0.002942 837.536 270.647 0.00173109601 0.00673250847 0.0000699856 0.0000890003 5945627.821 5875838.997 5895940.758 55.39578 -242.01530 -5.63663 0.0003029859 -18.61791 19.002 0.003105 837.389 270.677 0.00171357293 0.00675381096 0.0000693078 0.0000893382 5941952.641 5872802.316 5892119.848 58.40145 -255.03115 -5.77419 0.0003026460 -20.66109 20.006 0.003269 837.260 270.713 0.00169591469 0.00677476803 0.0000686200 0.0000896662 5938752.880 5870245.060 5888784.781 61.41421 -268.07452 -5.89425 0.0003022862 -22.82029 21.003 0.003432 837.152 270.753 0.00167833888 0.00679512238 0.0000679308 0.0000899802 5936067.066 5868197.804 5885975.738 64.39663 -280.98483 -5.99537 0.0003019111 -25.06861 22.001 0.003595 837.064 270.797 0.00166074012 0.00681500142 0.0000672363 0.0000902822 5933873.748 5866642.889 5883670.417 67.36641 -293.84024 -6.07837 0.0003015185 -27.41832 23.004 0.003759 836.995 270.846 0.00164301246 0.00683452085 0.0000665323 0.0000905737 5932163.647 5865574.820 5881858.963 70.34096 -306.71758 -6.14358 0.0003011060 -29.88419 24.002 0.003922 836.946 270.900 0.00162537432 0.00685344069 0.0000658276 0.0000908513 5930957.317 5865006.188 5880563.182 73.28330 -319.45827 -6.19023 0.0003006789 -32.43556 25.006 0.004086 836.917 270.959 0.00160761152 0.00687199108 0.0000651138 0.0000911181 5930239.723 5864929.636 5879766.957 76.22881 -332.21708 -6.21889 0.0003002319 -35.10314 26.003 0.004249 836.909 271.021 0.00158994287 0.00688994371 0.0000643999 0.0000913708 5930019.449 5865345.780 5879479.851 79.14088 -344.83685 -6.22923 0.0002997708 -37.85379 27.001 0.004412 836.919 271.089 0.00157226234 0.00690741105 0.0000636817 0.0000916111 5930290.513 5866252.391 5879695.390 82.03678 -357.39401 -6.22147 0.0002992928 -40.70289 28.004 0.004576 836.950 271.161 0.00155446355 0.00692449356 0.0000629549 0.0000918402 5931059.076 5867659.351 5880419.526 84.93342 -369.96344 -6.19540 0.0002987952 -43.66821 29.002 0.004739 837.001 271.238 0.00153676580 0.00694098064 0.0000622288 0.0000920553 5932315.801 5869549.359 5881643.492 87.79475 -382.39025 -6.15134 0.0002982841 -46.71296 30.006 0.004903 837.071 271.320 0.00151895418 0.00695707221 0.0000614945 0.0000922589 5934076.209 5871945.516 5883382.441 90.65516 -394.82532 -6.08873 0.0002977533 -49.87390 31.003 0.005066 837.162 271.406 0.00150124811 0.00697256959 0.0000607612 0.0000924485 5936319.003 5874818.569 5885615.375 93.47902 -407.11538 -6.00835 0.0002972097 -53.11184 32.001 0.005229 837.271 271.497 0.00148354124 0.00698756993 0.0000600248 0.0000926252 5939053.648 5878181.651 5888351.628 96.28311 -419.33484 -5.90984 0.0002966500 -56.44515 33.004 0.005393 837.402 271.592 0.00146572718 0.00700215807 0.0000592808 0.0000927901 5942301.764 5882059.989 5891612.982 99.08372 -431.55636 -5.79243 0.0002960710 -59.89450 34.002 0.005556 837.551 271.692 0.00144802542 0.00701615343 0.0000585387 0.0000929411 5946024.114 5886406.419 5895360.084 101.84595 -443.62924 -5.65754 0.0002954797 -63.41719 35.006 0.005720 837.722 271.797 0.00143022104 0.00702972497 0.0000577894 0.0000930799 5950266.821 5891274.452 5899639.408 104.60295 -455.69992 -5.50348 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182.14327 0.0002879814 111.34243 316.005 0.051635 884.321 277.565 0.00265717461 0.00454032017 0.0000937333 0.0000510034 7194789.181 7091434.056 7175954.970 242.61658 598.31022 180.75534 0.0002887367 116.71272 317.003 0.051798 883.024 277.317 0.00264684496 0.00458798143 0.0000937134 0.0000517605 7157823.413 7054764.572 7138213.376 245.18531 585.61906 179.39664 0.0002894739 121.92590 318.001 0.051961 881.742 277.074 0.00263628608 0.00463530174 0.0000936804 0.0000525171 7121431.281 7018684.000 7101048.232 247.77385 572.84621 178.05870 0.0002901975 127.01494 319.004 0.052125 880.468 276.835 0.00262543596 0.00468256242 0.0000936338 0.0000532777 7085395.046 6982976.164 7064237.800 250.39808 559.91617 176.73352 0.0002909115 132.00980 320.002 0.052288 879.217 276.601 0.00261443172 0.00472918162 0.0000935743 0.0000540327 7050154.237 6948076.103 7028231.718 253.02579 546.99015 175.43730 0.0002916070 136.84948 321.006 0.052452 877.975 276.370 0.00260314310 0.00477572605 0.0000935013 0.0000547912 7015276.348 6913555.008 6992588.725 255.68901 533.91301 174.15416 0.0002922924 141.59330 322.003 0.052615 876.757 276.145 0.00259171245 0.00482162309 0.0000934155 0.0000555437 6981186.462 6879833.135 6957743.823 258.35501 520.84761 172.89974 0.0002929591 146.18338 323.001 0.052778 875.555 275.925 0.00258007618 0.00486715291 0.0000933166 0.0000562945 6947669.747 6846697.320 6923478.050 261.03974 507.71771 171.66617 0.0002936111 150.64902 324.004 0.052942 874.363 275.707 0.00256816560 0.00491258689 0.0000932039 0.0000570482 6914525.322 6813948.671 6889586.500 263.75957 494.44543 170.44608 0.0002942521 155.01649 325.002 0.053105 873.194 275.496 0.00255613043 0.00495736666 0.0000930789 0.0000577951 6882156.714 6781985.437 6856482.295 266.48104 481.19579 169.25432 0.0002948740 159.23258 326.006 0.053269 872.035 275.288 0.00254382748 0.00500203753 0.0000929400 0.0000585444 6850165.964 6750414.180 6823758.901 269.23726 467.80936 168.07628 0.0002954843 163.34908 327.003 0.053432 870.901 275.085 0.00253141116 0.00504605086 0.0000927889 0.0000592865 6818942.298 6719618.575 6791814.896 271.99430 454.45241 166.92630 0.0002960754 167.31588 328.001 0.053595 869.783 274.887 0.00251881131 0.00508967653 0.0000926250 0.0000600259 6788287.891 6689402.893 6760448.349 274.76860 441.04647 165.79710 0.0002966509 171.15858 329.004 0.053759 868.676 274.692 0.00250595321 0.00513317508 0.0000924471 0.0000607668 6758018.809 6659585.572 6729471.396 277.57700 427.51176 164.68193 0.0002972139 174.89973 330.002 0.053922 867.592 274.503 0.00249299787 0.00517601272 0.0000922574 0.0000615001 6728502.986 6630528.625 6699260.932 280.38490 414.01620 163.59435 0.0002977575 178.49388 331.006 0.054086 866.520 274.317 0.00247979046 0.00521871189 0.0000920537 0.0000622343 6699376.964 6601873.827 6669445.287 283.22638 400.39702 162.52099 0.0002982880 181.98528 332.003 0.054249 865.472 274.136 0.00246649613 0.00526074888 0.0000918385 0.0000629605 6670994.572 6573968.871 6640386.980 286.06643 386.82304 161.47489 0.0002987990 185.33156 333.001 0.054412 864.442 273.960 0.00245303884 0.00530238245 0.0000916108 0.0000636828 6643175.049 6546635.467 6611901.273 288.92194 373.21402 160.44941 0.0002992936 188.55459 334.004 0.054576 863.424 273.787 0.00243933848 0.00534386159 0.0000913690 0.0000644054 6615751.399 6519709.313 6583817.411 291.81016 359.48877 159.43839 0.0002997744 191.67323 335.002 0.054739 862.429 273.620 0.00242556603 0.00538467792 0.0000911161 0.0000651193 6589056.493 6493516.859 6556476.533 294.69548 345.81726 158.45412 0.0003002354 194.64969 336.006 0.054903 861.447 273.456 0.00241155635 0.00542532982 0.0000908492 0.0000658330 6562761.156 6467734.748 6529541.733 297.61287 332.03427 157.48446 0.0003006822 197.52074 337.003 0.055066 860.488 273.298 0.00239748405 0.00546531923 0.0000905716 0.0000665377 6537184.398 6442675.398 6503339.998 300.52633 318.31037 156.54120 0.0003011092 200.25166 338.001 0.055229 859.548 273.144 0.00238326786 0.00550489313 0.0000902817 0.0000672374 6512162.471 6418177.847 6477703.807 303.45316 304.56399 155.61830 0.0003015191 202.86060 339.004 0.055393 858.621 272.994 0.00236882290 0.00554428841 0.0000899778 0.0000679362 6487545.226 6394094.915 6452479.487 306.41099 290.71298 154.71022 0.0003019140 205.36275 340.002 0.055556 857.718 272.848 0.00235432893 0.00558302266 0.0000896637 0.0000686253 6463631.097 6370718.218 6427973.002 309.36330 276.92859 153.82799 0.0003022890 207.72791 341.006 0.055720 856.827 272.707 0.00233961167 0.00562156927 0.0000893356 0.0000693131 6440124.837 6347758.812 6403881.952 312.34583 263.04397 152.96071 0.0003026487 209.98542 342.003 0.055883 855.961 272.571 0.00232485408 0.00565945640 0.0000889976 0.0000699908 6417311.281 6325494.582 6380498.403 315.32174 249.23069 152.11890 0.0003029885 212.10809 343.001 0.056046 855.113 272.439 0.00230997023 0.00569691870 0.0000886479 0.0000706626 6395043.578 6303781.726 6357671.990 318.30870 235.40631 151.29715 0.0003033105 214.11041 344.004 0.056210 854.279 272.310 0.00229487106 0.00573418045 0.0000882843 0.0000713322 6373188.277 6282489.986 6335266.015 321.32463 221.48807 150.49054 0.0003036165 216.00391 345.002 0.056373 853.469 272.187 0.00227974402 0.00577078572 0.0000879113 0.0000719914 6352010.036 6261876.900 6313551.916 324.33225 207.64783 149.70883 0.0003039027 217.76586 346.006 0.056537 852.673 272.068 0.00226440679 0.00580718216 0.0000875245 0.0000726479 6331247.109 6241687.413 6292261.428 327.36796 193.71786 148.94237 0.0003041724 219.41827 347.003 0.056700 851.901 271.954 0.00224904965 0.00584292450 0.0000871288 0.0000732936 6311150.824 6222165.629 6271652.356 330.39420 179.87006 148.20045 0.0003044224 220.94139 348.001 0.056863 851.148 271.844 0.00223358258 0.00587823465 0.0000867218 0.0000739324 6291591.058 6203184.687 6251591.361 333.42896 166.02150 147.47825 0.0003046542 222.34603 349.005 0.057027 850.409 271.739 0.00221791283 0.00591332393 0.0000863012 0.0000745678 6272450.877 6184631.031 6231958.570 336.49037 152.08919 146.77147 0.0003048690 223.64015 350.002 0.057190 849.693 271.638 0.00220223456 0.00594776317 0.0000858722 0.0000751919 6253961.837 6166728.860 6212991.567 339.54058 138.24497 146.08866 0.0003050641 224.80838 351.006 0.057354 848.993 271.541 0.00218635846 0.00598197371 0.0000854296 0.0000758122 6235895.214 6149256.454 6194455.778 342.61645 124.32088 145.42137 0.0003052419 225.86547 352.003 0.057517 848.316 271.449 0.00217048113 0.00601553716 0.0000849791 0.0000764210 6218469.501 6132424.870 6176575.424 345.67992 110.48860 144.77768 0.0003054001 226.79897 353.001 0.057680 847.658 271.362 0.00215450901 0.00604866231 0.0000845180 0.0000770218 6201571.100 6116123.945 6159234.016 348.74917 96.66504 144.15339 0.0003055399 227.61611 354.005 0.057844 847.016 271.279 0.00213834615 0.00608154722 0.0000840436 0.0000776182 6185099.399 6100256.589 6142328.330 351.84251 82.76730 143.54478 0.0003056618 228.32129 355.002 0.058007 846.397 271.200 0.00212219251 0.00611378974 0.0000835619 0.0000782025 6169253.502 6085014.372 6126062.754 354.92165 68.96665 142.95922 0.0003057644 228.90636 356.006 0.058171 845.794 271.126 0.00210585274 0.00614578440 0.0000830670 0.0000787819 6153837.223 6070208.353 6110235.944 358.02379 55.09552 142.38946 0.0003058489 229.37895 357.003 0.058334 845.213 271.056 0.00208952889 0.00617713993 0.0000825651 0.0000793491 6139036.853 6056017.229 6095039.182 361.11051 41.32482 141.84237 0.0003059142 229.73378 358.001 0.058497 844.652 270.992 0.00207312432 0.00620805173 0.0000820534 0.0000799075 6124755.115 6042347.291 6080372.639 364.20012 27.57163 141.31438 0.0003059608 229.97454 359.005 0.058661 844.108 270.931 0.00205654036 0.00623870427 0.0000815288 0.0000804602 6110907.515 6029117.680 6066149.548 367.31102 13.75343 140.80235 0.0003059890 230.10214 360.002 0.058824 843.586 270.875 0.00203998194 0.00626872270 0.0000809980 0.0000810003 6097661.316 6016487.987 6052541.729 370.40466 0.04042 140.31246 0.0003059983 230.11550 Engine speed (Hz) = 17.0000000000 Output power (W) = 3911.9590135568 Heat into heater (W) = 6296.8792151486 Heat to regenerator (W) = 0.6871202619 Heat removal from cooler (W) = 2385.3118819617 Approximate Pumping loss (W) = -381.0058116643 Thermal efficiency (%) = 62.1253621023 The average engine pressure (Pa) = 8442672.6746637151 The exp space work per cycle (J) = 370.4092279844 The comp space work per cycle (J) = -140.2939918928 The net work per cycle (J) = 230.1152360916 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -912.7185172014 The expansion work for Vmin-to-Vmax (J) = 1142.8337532930 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 844.046 270.914 0.00204110374 0.00626573757 0.0000809964 0.0000810019 6104457.363 6014379.487 6054425.514 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000155 843.544 270.864 0.00202446210 0.00629535533 0.0000804560 0.0000815329 6091729.820 6002334.971 6041306.889 3.08998 -13.70308 -0.47227 0.0003059889 -0.10438 2.001 0.000309 843.061 270.818 0.00200774977 0.00632452522 0.0000799064 0.0000820544 6079513.740 5990804.305 6028712.529 6.18050 -27.38236 -0.92567 0.0003059608 -0.32098 3.005 0.000464 842.595 270.776 0.00199086013 0.00635343115 0.0000793442 0.0000825695 6067733.303 5979716.009 6016564.260 9.29100 -41.12479 -1.36301 0.0003059137 -0.65181 4.003 0.000618 842.152 270.739 0.00197401369 0.00638169905 0.0000787767 0.0000830715 6056539.082 5969211.595 6005017.377 12.38073 -54.75142 -1.77869 0.0003058482 -1.09210 5.001 0.000772 841.728 270.706 0.00195710421 0.00640951572 0.0000782006 0.0000835635 6045852.039 5959216.359 5993990.404 15.46914 -68.34941 -2.17566 0.0003057641 -1.64310 6.006 0.000927 841.321 270.678 0.00194002380 0.00643705622 0.0000776122 0.0000840485 6035606.382 5949668.895 5983415.440 18.57562 -82.00518 -2.55636 0.0003056607 -2.30897 7.003 0.001081 840.936 270.655 0.00192299534 0.00646396401 0.0000770192 0.0000845201 6025933.021 5940690.985 5973427.619 21.65946 -95.54094 -2.91592 0.0003055393 -3.08060 8.001 0.001235 840.571 270.636 0.00190591125 0.00649041705 0.0000764181 0.0000849813 6016762.981 5932218.036 5963955.779 24.74008 -109.04334 -3.25691 0.0003053994 -3.96140 9.006 0.001390 840.224 270.622 0.00188866251 0.00651658142 0.0000758051 0.0000854348 6008040.432 5924198.643 5954942.230 27.83679 -122.59816 -3.58140 0.0003052399 -4.95764 10.004 0.001544 839.898 270.612 0.00187147409 0.00654211826 0.0000751883 0.0000858747 5999876.790 5916735.035 5946502.120 30.90899 -136.02893 -3.88524 0.0003050630 -6.05592 11.002 0.001698 839.592 270.607 0.00185423726 0.00656719657 0.0000745639 0.0000863038 5992213.074 5909772.650 5938574.533 33.97601 -149.42170 -4.17064 0.0003048677 -7.26180 12.006 0.001853 839.304 270.606 0.00183684201 0.00659197335 0.0000739279 0.0000867247 5985003.368 5903270.027 5931111.944 37.05707 -162.86151 -4.43929 0.0003046526 -8.58360 13.004 0.002007 839.038 270.610 0.00181951512 0.00661612754 0.0000732889 0.0000871317 5978339.734 5897309.988 5924209.658 40.11174 -176.17341 -4.68777 0.0003044206 -10.00375 14.002 0.002161 838.791 270.619 0.00180214686 0.00663981907 0.0000726429 0.0000875275 5972173.132 5891847.940 5917816.953 43.15926 -189.44271 -4.91791 0.0003041704 -11.52986 15.006 0.002316 838.562 270.632 0.00178462636 0.00666319579 0.0000719859 0.0000879145 5966467.513 5886852.304 5911896.421 46.21867 -202.75363 -5.13105 0.0003039004 -13.17233 16.004 0.002470 838.355 270.650 0.00176718200 0.00668595455 0.0000713264 0.0000882875 5961295.708 5882386.631 5906523.656 49.24981 -215.93288 -5.32447 0.0003036139 -14.90942 17.002 0.002624 838.167 270.672 0.00174970315 0.00670824613 0.0000706606 0.0000886490 5956618.568 5878416.235 5901658.077 52.27179 -229.06496 -5.49963 0.0003033096 -16.75083 18.000 0.002778 838.000 270.699 0.00173219207 0.00673006892 0.0000699886 0.0000889988 5952435.427 5874940.327 5897299.014 55.28392 -242.14837 -5.65655 0.0003029874 -18.69599 19.004 0.002933 837.851 270.730 0.00171453702 0.00675155837 0.0000693061 0.0000893390 5948723.333 5871940.428 5893422.494 58.30497 -255.26603 -5.79611 0.0003026451 -20.75797 20.002 0.003087 837.722 270.766 0.00169696807 0.00677243549 0.0000686223 0.0000896651 5945529.640 5869454.572 5890077.994 61.29526 -268.24717 -5.91651 0.0003022874 -22.90961 21.000 0.003241 837.614 270.807 0.00167937366 0.00679283866 0.0000679328 0.0000899793 5942828.320 5867461.192 5887238.391 64.27364 -281.17504 -6.01874 0.0003019122 -25.16329 22.005 0.003396 837.524 270.852 0.00166164153 0.00681289390 0.0000672335 0.0000902833 5940606.220 5865951.593 5884889.764 67.25862 -294.13152 -6.10329 0.0003015169 -27.53407 23.003 0.003550 837.455 270.902 0.00164400274 0.00683234053 0.0000665336 0.0000905732 5938891.660 5864944.755 5883062.079 70.21099 -306.94789 -6.16908 0.0003011068 -29.99077 24.000 0.003704 837.406 270.956 0.00162634518 0.00685130751 0.0000658286 0.0000908509 5937668.424 5864428.908 5881738.277 73.14935 -319.70638 -6.21674 0.0003006795 -32.54776 25.005 0.003859 837.377 271.016 0.00160855624 0.00686991129 0.0000651144 0.0000911179 5936933.145 5864405.113 5880914.480 76.09191 -332.48768 -6.24640 0.0003002323 -35.22204 26.003 0.004013 837.367 271.079 0.00159086771 0.00688790972 0.0000644002 0.0000913708 5936695.156 5864873.355 5880601.187 79.00001 -345.12532 -6.25768 0.0002997709 -37.97850 27.001 0.004167 837.377 271.148 0.00157316708 0.00690542221 0.0000636817 0.0000916111 5936948.035 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7558625.444 7442139.669 7545573.673 219.68938 708.23704 195.09794 0.0002815040 62.21928 308.006 0.047532 895.613 279.709 0.00273165285 0.00414292165 0.0000934163 0.0000449432 7516321.103 7399982.810 7502421.571 222.08459 696.39459 193.54446 0.0002823595 68.58060 309.004 0.047686 894.202 279.424 0.00272336546 0.00419306611 0.0000935020 0.0000456959 7474853.337 7358683.125 7460104.833 224.48503 684.51045 192.02106 0.0002831980 74.77880 310.002 0.047840 892.805 279.145 0.00271480772 0.00424292835 0.0000935746 0.0000464501 7433949.536 7317968.417 7418346.714 226.90607 672.51283 190.51777 0.0002840247 80.85490 311.006 0.047995 891.412 278.868 0.00270592672 0.00429282101 0.0000936344 0.0000472103 7393351.502 7277581.431 7376884.673 229.36360 660.32692 189.02513 0.0002848447 86.84675 312.004 0.048149 890.043 278.598 0.00269684224 0.00434209228 0.0000936805 0.0000479665 7353584.727 7238044.432 7336256.536 231.82584 648.11408 187.56252 0.0002856471 92.67670 313.002 0.048303 888.688 278.333 0.00268750299 0.00439105740 0.0000937136 0.0000487234 7314386.848 7199095.846 7296195.494 234.30851 635.80004 186.12032 0.0002864370 98.38348 314.006 0.048458 887.339 278.071 0.00267785097 0.00444002396 0.0000937335 0.0000494857 7275510.077 7160489.168 7256449.204 236.82783 623.30783 184.68946 0.0002872192 104.00267 315.004 0.048612 886.014 277.815 0.00266801577 0.00448835313 0.0000937400 0.0000502433 7237457.015 7122722.986 7217532.489 239.35119 610.80252 183.28846 0.0002879833 109.46152 316.002 0.048766 884.704 277.564 0.00265794091 0.00453635519 0.0000937333 0.0000510009 7199975.745 7085546.536 7179188.769 241.89464 598.20761 181.90808 0.0002887343 114.79647 317.000 0.048920 883.409 277.317 0.00264763130 0.00458402380 0.0000937135 0.0000517583 7163066.824 7048959.847 7141419.491 244.45803 585.52680 180.54839 0.0002894718 120.00734 318.005 0.049075 882.121 277.073 0.00263702265 0.00463165908 0.0000936802 0.0000525201 7126496.547 7012730.939 7103986.233 247.05803 572.68060 179.20079 0.0002902003 125.12662 319.002 0.049229 880.857 276.835 0.00262625666 0.00467864059 0.0000936339 0.0000532763 7090736.984 6977326.946 7067372.993 249.66092 559.83835 177.88271 0.0002909102 130.08813 320.000 0.049383 879.609 276.602 0.00261527040 0.00472527123 0.0000935744 0.0000540316 7055550.363 6942511.719 7031337.165 252.28321 546.92092 176.58542 0.0002916060 134.92521 321.005 0.049538 878.369 276.372 0.00260399512 0.00477184506 0.0000935013 0.0000547906 7020713.656 6908064.271 6995650.960 254.94189 533.84716 175.30072 0.0002922920 139.66800 322.003 0.049692 877.153 276.148 0.00259258097 0.00481775610 0.0000934155 0.0000555434 6986676.085 6874428.280 6960775.218 257.60243 520.78915 174.04519 0.0002929589 144.25527 323.001 0.049846 875.953 275.929 0.00258096050 0.00486330122 0.0000933166 0.0000562945 6953210.608 6841378.663 6926478.015 260.28167 507.66605 172.81049 0.0002936111 148.71802 324.005 0.050001 874.763 275.712 0.00256906079 0.00490876800 0.0000932038 0.0000570487 6920104.937 6808705.459 6892542.305 262.99693 494.39527 171.58881 0.0002942525 153.08402 325.003 0.050155 873.596 275.502 0.00255703988 0.00495356545 0.0000930787 0.0000577959 6887785.549 6776829.073 6859405.817 265.71290 481.15121 170.39590 0.0002948747 157.29700 326.001 0.050309 872.446 275.295 0.00254482604 0.00499798400 0.0000929406 0.0000585409 6856036.201 6745535.522 6826847.430 268.44675 467.85155 169.22379 0.0002954815 161.38558 327.005 0.050464 871.306 275.092 0.00253234247 0.00504230445 0.0000927886 0.0000592881 6824655.366 6714625.885 6794660.914 271.21609 454.41245 168.06508 0.0002960767 165.37520 328.003 0.050618 870.191 274.895 0.00251975456 0.00508595119 0.0000926245 0.0000600278 6794046.935 6684497.505 6763260.992 273.98487 441.01028 166.93468 0.0002966523 169.21448 329.001 0.050772 869.092 274.702 0.00250698658 0.00512920791 0.0000924476 0.0000607645 6764005.488 6654947.509 6732437.421 276.77057 427.56142 165.82503 0.0002972121 172.92969 330.006 0.050927 868.004 274.513 0.00249395809 0.00517234830 0.0000922567 0.0000615027 6734340.269 6625787.994 6701994.834 279.59110 413.98096 164.72910 0.0002977594 176.54392 331.003 0.051081 866.941 274.328 0.00248084131 0.00521481252 0.0000920542 0.0000622328 6705432.760 6597393.485 6672325.090 282.40970 400.44693 163.66099 0.0002982869 180.01069 332.001 0.051235 865.894 274.149 0.00246755680 0.00525687719 0.0000918389 0.0000629592 6677088.376 6569572.201 6643228.875 285.24416 386.87459 162.61353 0.0002987981 183.35390 333.006 0.051390 864.859 273.973 0.00245402068 0.00529880865 0.0000916096 0.0000636864 6649127.110 6542147.218 6614521.694 288.11264 373.17812 161.58007 0.0002992960 186.59429 334.004 0.051544 863.849 273.802 0.00244041155 0.00534006314 0.0000913691 0.0000644049 6621908.249 6515470.502 6586572.730 290.97773 359.53690 160.57390 0.0002997740 189.69024 335.002 0.051698 862.856 273.635 0.00242664648 0.00538090992 0.0000911162 0.0000651191 6595248.023 6489361.327 6559193.609 293.85750 345.86523 159.58826 0.0003002352 192.66332 336.006 0.051853 861.875 273.472 0.00241263840 0.00542160779 0.0000908491 0.0000658333 6568977.141 6463653.689 6532210.707 296.77037 332.07659 158.61687 0.0003006824 195.53189 337.004 0.052007 860.918 273.315 0.00239857185 0.00546162928 0.0000905714 0.0000665382 6543432.923 6438677.274 6505970.733 299.67831 318.35136 157.67223 0.0003011095 198.25920 338.002 0.052161 859.980 273.162 0.00238436061 0.00550123610 0.0000902814 0.0000672381 6518442.379 6414262.350 6480296.249 302.59966 304.60310 156.74795 0.0003015195 200.86444 339.006 0.052316 859.054 273.012 0.00236991468 0.00554067928 0.0000899773 0.0000679374 6493846.887 6390253.766 6455024.476 305.55305 290.74469 155.83817 0.0003019147 203.36365 340.004 0.052470 858.152 272.868 0.00235542405 0.00557944789 0.0000896630 0.0000686268 6469962.039 6366959.210 6430479.878 308.49992 276.95729 154.95456 0.0003022898 205.72487 341.002 0.052624 857.269 272.728 0.00234079951 0.00561779585 0.0000893368 0.0000693106 6446625.578 6344219.873 6406495.927 311.45882 263.15383 154.09114 0.0003026474 207.96497 342.006 0.052779 856.398 272.592 0.00232594829 0.00565596626 0.0000889965 0.0000699930 6423689.491 6321891.377 6382920.644 314.44861 249.24677 153.24243 0.0003029895 210.09763 343.004 0.052933 855.552 272.461 0.00231106546 0.00569346488 0.0000886466 0.0000706650 6401447.891 6300259.701 6360056.491 317.43021 235.41777 152.41932 0.0003033116 212.09569 344.002 0.053087 854.724 272.334 0.00229605898 0.00573053770 0.0000882851 0.0000713308 6379749.192 6279176.874 6337747.808 320.42240 221.57929 151.61621 0.0003036159 213.97367 345.000 0.053241 853.915 272.212 0.00228093218 0.00576718317 0.0000879120 0.0000719902 6358591.547 6258640.776 6315992.822 323.42468 207.73344 150.83303 0.0003039022 215.73191 346.005 0.053396 853.120 272.094 0.00226558895 0.00580363355 0.0000875249 0.0000726472 6337840.972 6238521.252 6294653.864 326.45612 193.79234 150.06483 0.0003041721 217.38107 347.003 0.053550 852.349 271.981 0.00225023051 0.00583941708 0.0000871290 0.0000732932 6317763.354 6219075.790 6274004.465 329.47709 179.93791 149.32145 0.0003044222 218.90024 348.000 0.053704 851.597 271.872 0.00223476141 0.00587476894 0.0000867219 0.0000739321 6298221.216 6200170.729 6253903.356 332.50660 166.08223 148.59781 0.0003046541 220.30086 349.005 0.053859 850.858 271.767 0.00221908328 0.00590991312 0.0000863010 0.0000745680 6279091.020 6181686.478 6234223.532 335.56387 152.13731 147.88933 0.0003048690 221.59126 350.003 0.054013 850.144 271.667 0.00220340150 0.00594439486 0.0000858719 0.0000751923 6260617.760 6163859.474 6215217.106 338.60891 138.28501 147.20510 0.0003050642 222.75522 351.001 0.054167 849.449 271.572 0.00218761830 0.00597844107 0.0000854319 0.0000758091 6242674.459 6146566.677 6196753.535 341.66088 124.43728 146.54041 0.0003052410 223.80187 352.005 0.054322 848.768 271.480 0.00217163322 0.00601226734 0.0000849783 0.0000764221 6225147.944 6129698.974 6178716.408 344.73911 110.50612 145.89108 0.0003054004 224.73728 353.003 0.054476 848.112 271.394 0.00215565548 0.00604543603 0.0000845170 0.0000770231 6208262.564 6113472.012 6161336.667 347.80331 96.67314 145.26541 0.0003055401 225.54984 354.001 0.054630 847.474 271.312 0.00213958517 0.00607816563 0.0000840454 0.0000776160 6191901.761 6097773.285 6144494.422 350.87277 82.85026 144.65909 0.0003056614 226.24639 355.005 0.054785 846.852 271.234 0.00212331991 0.00611066326 0.0000835603 0.0000782044 6175962.650 6082504.058 6128083.785 353.96689 68.94962 144.06830 0.0003057647 226.83078 356.003 0.054939 846.252 271.161 0.00210707243 0.00614250847 0.0000830682 0.0000787805 6160649.168 6067859.450 6112314.770 357.04517 55.15237 143.50062 0.0003058487 227.29594 357.001 0.055093 845.673 271.092 0.00209074084 0.00617391125 0.0000825662 0.0000793479 6145855.097 6053737.386 6097078.063 360.12698 41.37052 142.95210 0.0003059140 227.64647 358.006 0.055248 845.109 271.028 0.00207422107 0.00620507009 0.0000820510 0.0000799101 6131487.764 6040049.425 6082278.229 363.23176 27.51646 142.41930 0.0003059610 227.88400 359.004 0.055402 844.568 270.968 0.00205772898 0.00623558186 0.0000815294 0.0000804596 6117730.918 6026970.396 6068104.582 366.31887 13.77066 141.90905 0.0003059890 228.00595 360.001 0.055556 844.046 270.913 0.00204116094 0.00626564793 0.0000809983 0.0000809999 6104488.601 6014408.565 6054458.310 369.40772 0.04536 141.41779 0.0003059983 228.01469 Engine speed (Hz) = 18.0000000000 Output power (W) = 4104.2588302684 Heat into heater (W) = 6649.3389246147 Heat to regenerator (W) = 0.8164992400 Heat removal from cooler (W) = 2545.5201343294 Approximate Pumping loss (W) = -447.0631847740 Thermal efficiency (%) = 61.7243139025 The average engine pressure (Pa) = 8443503.4877022523 The exp space work per cycle (J) = 369.4135184472 The comp space work per cycle (J) = -141.3991389879 The net work per cycle (J) = 228.0143794594 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -913.7570822753 The expansion work for Vmin-to-Vmax (J) = 1141.7714617347 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 844.527 270.953 0.00204233068 0.00626252989 0.0000809966 0.0000810017 6111597.774 6012186.779 6056428.014 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000147 844.025 270.904 0.00202567273 0.00629220746 0.0000804558 0.0000815331 6098869.958 6000208.907 6043265.401 3.08605 -13.72091 -0.47385 0.0003059889 -0.10942 2.002 0.000293 843.543 270.859 0.00200894344 0.00632143697 0.0000799058 0.0000820549 6086653.080 5988744.774 6030627.910 6.17267 -27.41836 -0.92880 0.0003059607 -0.33124 3.001 0.000439 843.080 270.818 0.00199214539 0.00635021728 0.0000793468 0.0000825671 6074945.685 5977792.777 6018514.063 9.25926 -41.09072 -1.36490 0.0003059139 -0.66497 4.006 0.000586 842.634 270.782 0.00197516542 0.00637873972 0.0000787751 0.0000830729 6063671.400 5967281.603 6006844.827 12.36631 -54.82972 -1.78499 0.0003058480 -1.11352 5.005 0.000732 842.210 270.750 0.00195823710 0.00640661508 0.0000781985 0.0000835653 6052982.245 5957352.747 5995777.570 15.45094 -68.44683 -2.18342 0.0003057637 -1.67029 6.003 0.000878 841.806 270.723 0.00194124765 0.00643403774 0.0000776134 0.0000840475 6042798.465 5947931.506 5985229.778 18.53364 -82.03399 -2.56314 0.0003056609 -2.33744 7.002 0.001024 841.422 270.700 0.00192419956 0.00646100650 0.0000770201 0.0000845194 6033118.791 5939016.476 5975200.157 21.61380 -95.58963 -2.92420 0.0003055395 -3.11446 8.001 0.001170 841.057 270.682 0.00190709529 0.00648752013 0.0000764185 0.0000849810 6023942.001 5930606.308 5965687.464 24.69076 -109.11217 -3.26666 0.0003053995 -4.00081 9.006 0.001317 840.709 270.669 0.00188981958 0.00651375426 0.0000758049 0.0000854350 6015209.235 5922647.284 5956630.660 27.78492 -122.69231 -3.59270 0.0003052399 -5.00318 10.005 0.001463 840.383 270.660 0.00187260990 0.00653935068 0.0000751876 0.0000858752 6007038.184 5915246.441 5948151.823 30.85353 -136.14371 -3.89794 0.0003050628 -6.10739 11.003 0.001609 840.077 270.656 0.00185535130 0.00656448808 0.0000745627 0.0000863046 5999366.663 5908346.726 5940186.497 33.91700 -149.55731 -4.18469 0.0003048673 -7.31935 12.002 0.001755 839.791 270.656 0.00183804615 0.00658916511 0.0000739305 0.0000867230 5992193.665 5901947.009 5932733.656 36.97468 -162.93159 -4.45300 0.0003046535 -8.63853 13.001 0.001901 839.524 270.661 0.00182069682 0.00661338036 0.0000732910 0.0000871304 5985518.240 5896046.215 5925792.335 40.02589 -176.26499 -4.70288 0.0003044214 -10.06439 14.006 0.002048 839.275 270.670 0.00180318638 0.00663729348 0.0000726401 0.0000875292 5979298.884 5890608.033 5919319.340 43.09081 -189.64686 -4.93591 0.0003041693 -11.60724 15.005 0.002194 839.048 270.684 0.00178575542 0.00666057761 0.0000719868 0.0000879139 5973619.377 5885705.487 5913401.889 46.12705 -202.89360 -5.14894 0.0003039008 -13.24554 16.003 0.002340 838.840 270.702 0.00176828726 0.00668339549 0.0000713269 0.0000882872 5968434.935 5881298.976 5907993.417 49.15482 -216.09484 -5.34365 0.0003036141 -14.98886 17.002 0.002486 838.652 270.725 0.00175078420 0.00670574553 0.0000706606 0.0000886490 5963744.843 5877387.652 5903093.205 52.17344 -229.24905 -5.52005 0.0003033096 -16.83666 18.001 0.002632 838.484 270.753 0.00173324854 0.00672762609 0.0000699881 0.0000889990 5959548.450 5873970.730 5898700.597 55.18223 -242.35471 -5.67819 0.0003029871 -18.78836 19.006 0.002779 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909.264 282.486 0.00279362591 0.00367577386 0.0000920552 0.0000382510 7919391.464 7790857.189 7912045.963 200.70513 797.28390 209.37326 0.0002743062 5.31426 300.000 0.043860 907.744 282.156 0.00278804318 0.00372802022 0.0000922578 0.0000389816 7873019.345 7744438.134 7864869.865 202.91786 786.63819 207.67492 0.0002752394 12.59006 301.006 0.044007 906.224 281.829 0.00278209958 0.00378043447 0.0000924489 0.0000397206 7826870.355 7698268.398 7817888.870 205.16592 775.76314 205.98360 0.0002761696 19.79765 302.004 0.044153 904.726 281.510 0.00277588145 0.00383229145 0.0000926258 0.0000404579 7781576.810 7652980.428 7771748.807 207.41886 764.81155 204.32256 0.0002770837 26.83818 303.003 0.044299 903.240 281.196 0.00276935492 0.00388393683 0.0000927899 0.0000411981 7736827.017 7608262.081 7726134.469 209.69203 753.71474 202.68044 0.0002779880 33.76033 304.002 0.044445 901.766 280.887 0.00276252541 0.00393535949 0.0000929410 0.0000419411 7692624.740 7564116.839 7681051.589 211.98554 742.47738 201.05746 0.0002788821 40.56342 305.000 0.044591 900.304 280.583 0.00275539832 0.00398654878 0.0000930792 0.0000426865 7648973.436 7520547.824 7636505.493 214.29948 731.10407 199.45380 0.0002797657 47.24680 306.006 0.044738 898.846 280.282 0.00274792724 0.00403784250 0.0000932051 0.0000434395 7605582.989 7477265.361 7592201.590 216.64996 719.52009 197.85886 0.0002806446 53.85440 307.004 0.044884 897.410 279.989 0.00274021918 0.00408853288 0.0000933171 0.0000441893 7563046.627 7434860.784 7548747.234 219.00505 707.88753 196.29450 0.0002815064 60.29577 308.003 0.045030 895.988 279.700 0.00273222963 0.00413896024 0.0000934160 0.0000449410 7521069.856 7393039.800 7505843.363 221.38070 696.13242 194.74996 0.0002823571 66.61577 309.002 0.045176 894.579 279.416 0.00272396388 0.00418911552 0.0000935018 0.0000456943 7479654.988 7351804.239 7463493.811 223.77691 684.25904 193.22538 0.0002831962 72.81392 310.000 0.045322 893.183 279.137 0.00271542715 0.00423899000 0.0000935745 0.0000464490 7438804.074 7311155.649 7421702.076 226.19367 672.27162 191.72088 0.0002840235 78.88979 311.006 0.045469 891.792 278.861 0.00270656346 0.00428891398 0.0000936343 0.0000472100 7398244.944 7270822.953 7380190.871 228.64769 660.09109 190.22647 0.0002848444 84.88334 312.004 0.045615 890.425 278.592 0.00269749857 0.00433820017 0.0000936806 0.0000479668 7358530.991 7231355.921 7339527.852 231.10556 647.88726 188.76260 0.0002856473 90.71268 313.003 0.045761 889.073 278.328 0.00268817821 0.00438718156 0.0000937136 0.0000487242 7319385.692 7192478.945 7299431.267 233.58380 635.58164 187.31913 0.0002864378 96.41869 314.002 0.045907 887.734 278.068 0.00267860742 0.00443585084 0.0000937334 0.0000494822 7280810.157 7154192.573 7259903.394 236.08234 623.17815 185.89612 0.0002872156 102.00108 315.000 0.046053 886.411 277.812 0.00266879122 0.00448420101 0.0000937400 0.0000502403 7242805.285 7116497.138 7220946.238 238.60107 610.68065 184.49367 0.0002879803 107.45962 316.006 0.046200 885.094 277.560 0.00265866488 0.00453255319 0.0000937333 0.0000510036 7205117.350 7079140.664 7182300.610 241.15731 598.00639 183.10242 0.0002887369 112.83020 317.004 0.046346 883.801 277.314 0.00264837108 0.00458024310 0.0000937134 0.0000517616 7168259.624 7042631.336 7144493.803 243.71615 585.33153 181.74138 0.0002894749 118.03957 318.003 0.046492 882.524 277.073 0.00263784663 0.00462759470 0.0000936803 0.0000525190 7131974.092 7006712.754 7107262.214 246.29474 572.57380 180.40104 0.0002901993 123.12454 319.002 0.046638 881.262 276.836 0.00262709631 0.00467460219 0.0000936339 0.0000532758 7096260.904 6971384.497 7070606.871 248.89290 559.73674 179.08145 0.0002909097 128.08500 320.000 0.046784 880.016 276.603 0.00261612487 0.00472126000 0.0000935744 0.0000540316 7061120.047 6936645.983 7034528.589 251.51044 546.82386 177.78263 0.0002916060 132.92087 321.006 0.046931 878.777 276.374 0.00260485963 0.00476787876 0.0000935012 0.0000547915 7026316.554 6902264.608 6998786.813 254.16527 533.74940 176.49593 0.0002922927 137.66391 322.005 0.047077 877.563 276.151 0.00259345851 0.00481381914 0.0000934153 0.0000555448 6992323.622 6868707.266 6963868.243 256.82105 520.69460 175.23886 0.0002929601 142.24957 323.003 0.047223 876.366 275.932 0.00258185018 0.00485939469 0.0000933163 0.0000562964 6958902.079 6835737.049 6929527.988 259.49552 507.57407 174.00261 0.0002936128 146.71053 324.002 0.047369 875.185 275.718 0.00257003916 0.00490460085 0.0000932042 0.0000570463 6926051.340 6803352.827 6895766.105 262.18843 494.39101 172.78718 0.0002942505 151.04681 325.000 0.047515 874.020 275.508 0.00255802990 0.00494943326 0.0000930791 0.0000577941 6893770.696 6771553.357 6862582.485 264.89950 481.14858 171.59257 0.0002948731 155.25846 326.006 0.047662 872.864 275.301 0.00254574256 0.00499419097 0.0000929399 0.0000585446 6861844.083 6740125.490 6829755.530 267.64720 467.75861 170.41080 0.0002954846 159.37310 327.005 0.047808 871.733 275.100 0.00253334866 0.00503826107 0.0000927887 0.0000592876 6830704.939 6709495.362 6797731.454 270.39385 454.40631 169.25793 0.0002960763 163.33484 328.003 0.047954 870.620 274.904 0.00252076956 0.00508194560 0.0000926245 0.0000600278 6800133.096 6679445.644 6766284.420 273.15776 441.00376 168.12584 0.0002966523 167.17221 329.002 0.048100 869.523 274.712 0.00250800948 0.00512524101 0.0000924475 0.0000607650 6770127.427 6649974.718 6735413.753 275.93859 427.55386 167.01450 0.0002972125 170.88534 330.000 0.048246 868.443 274.524 0.00249507256 0.00516814393 0.0000922577 0.0000614990 6740686.719 6621080.889 6705118.659 278.73602 414.05946 165.92387 0.0002977567 174.47438 331.006 0.048393 867.374 274.340 0.00248187255 0.00521094092 0.0000920536 0.0000622346 6711613.832 6592570.412 6675196.647 281.56901 400.43049 164.84668 0.0002982882 177.96282 332.005 0.048539 866.330 274.161 0.00246859309 0.00525304666 0.0000918382 0.0000629615 6683302.939 6564829.349 6646053.803 284.39865 386.85515 163.79754 0.0002987998 181.30337 333.003 0.048685 865.303 273.987 0.00245514895 0.00529475074 0.0000916102 0.0000636846 6655552.901 6537659.903 6617483.504 287.24378 373.24353 162.76901 0.0002992948 184.52040 334.002 0.048831 864.294 273.817 0.00244154406 0.00533605044 0.0000913696 0.0000644036 6628362.221 6511060.145 6589484.556 290.10401 359.59825 161.76105 0.0002997732 187.61412 335.001 0.048977 863.303 273.651 0.00242778228 0.00537694313 0.0000911165 0.0000651183 6601729.346 6485028.101 6562055.681 292.97894 345.92190 160.77361 0.0003002348 190.58479 336.006 0.049124 862.323 273.489 0.00241377161 0.00541770222 0.0000908491 0.0000658333 6575475.978 6459389.280 6535013.514 295.88798 332.12302 159.80009 0.0003006824 193.45174 337.005 0.049270 861.367 273.332 0.00239970644 0.00545777079 0.0000905712 0.0000665387 6549957.646 6434490.453 6508724.547 298.79115 318.39185 158.85369 0.0003011098 196.17624 338.003 0.049416 860.430 273.180 0.00238549566 0.00549742529 0.0000902810 0.0000672391 6524992.166 6410153.201 6483001.396 301.70774 304.63704 157.92765 0.0003015201 198.77848 339.002 0.049562 859.511 273.032 0.00237114293 0.00553666360 0.0000899786 0.0000679344 6500577.811 6386375.432 6457842.523 304.63732 290.86095 157.02193 0.0003019130 201.25877 340.001 0.049708 858.611 272.889 0.00235665184 0.00557548369 0.0000896642 0.0000686243 6476712.829 6363155.033 6433246.345 307.57942 277.06592 156.13647 0.0003022885 203.61743 341.006 0.049855 857.723 272.749 0.00234192527 0.00561414520 0.0000893355 0.0000693133 6453237.614 6340336.549 6409048.540 310.55387 263.15958 155.26535 0.0003026488 205.86967 342.005 0.050001 856.859 272.615 0.00232716710 0.00565212029 0.0000889972 0.0000699918 6430469.746 6318228.292 6385576.655 313.51972 249.33339 154.42036 0.0003029889 207.98520 343.003 0.050147 856.014 272.484 0.00231228102 0.00568967165 0.0000886470 0.0000706643 6408245.840 6296670.996 6362662.461 316.49668 235.49501 153.59545 0.0003033113 209.98010 344.002 0.050293 855.187 272.359 0.00229727041 0.00572679761 0.0000882852 0.0000713306 6386564.065 6275662.524 6340304.233 319.48426 221.64658 152.79055 0.0003036158 211.85472 345.001 0.050439 854.379 272.238 0.00228213861 0.00576349658 0.0000879119 0.0000719904 6365422.582 6255200.739 6318500.223 322.48196 207.79023 152.00561 0.0003039023 213.60944 346.006 0.050586 853.585 272.120 0.00226678403 0.00580001396 0.0000875244 0.0000726481 6344680.286 6235148.968 6297105.010 325.50992 193.83309 151.23538 0.0003041725 215.25542 347.005 0.050732 852.815 272.008 0.00225141882 0.00583585145 0.0000871282 0.0000732946 6324617.529 6215777.892 6276407.897 328.52641 179.96711 150.49029 0.0003044227 216.77066 348.003 0.050878 852.063 271.900 0.00223594212 0.00587125752 0.0000867208 0.0000739340 6305089.525 6196947.138 6256259.664 331.55148 166.09935 149.76495 0.0003046547 218.16716 349.002 0.051024 851.331 271.796 0.00222035706 0.00590623080 0.0000863023 0.0000745662 6286094.438 6178654.618 6236658.521 334.58461 152.23181 149.05931 0.0003048684 219.44533 350.001 0.051170 850.617 271.697 0.00220466671 0.00594076999 0.0000858728 0.0000751910 6267630.444 6160898.262 6217602.679 337.62524 138.36643 148.37330 0.0003050638 220.60558 351.006 0.051317 849.918 271.602 0.00218876562 0.00597510588 0.0000854295 0.0000758124 6249574.711 6143559.902 6198965.428 340.69375 124.41020 147.70236 0.0003052419 221.65507 352.005 0.051463 849.243 271.512 0.00217287313 0.00600877008 0.0000849784 0.0000764219 6232171.086 6126873.399 6180998.548 343.74783 110.55489 147.05555 0.0003054003 222.57996 353.003 0.051609 848.587 271.426 0.00215688439 0.00604199643 0.0000845169 0.0000770233 6215293.154 6110716.987 6163571.632 346.80777 96.70741 146.42818 0.0003055402 223.38822 354.002 0.051755 847.950 271.345 0.00214080230 0.00607478377 0.0000840448 0.0000776167 6198939.158 6095088.701 6146682.929 349.87300 82.86958 145.82019 0.0003056615 224.08030 355.001 0.051901 847.332 271.269 0.00212462973 0.00610713092 0.0000835626 0.0000782017 6183107.365 6079986.610 6130330.709 352.94297 69.04319 145.23151 0.0003057643 224.65665 356.006 0.052048 846.729 271.196 0.00210825787 0.00613925376 0.0000830668 0.0000787821 6167692.987 6065310.774 6114406.765 356.03816 55.13548 144.65825 0.0003058489 225.12049 357.005 0.052194 846.150 271.128 0.00209191226 0.00617071409 0.0000825643 0.0000793499 6152904.059 6051258.995 6099126.053 359.11587 41.33742 144.10814 0.0003059142 225.46597 358.003 0.052340 845.590 271.065 0.00207548459 0.00620173083 0.0000820521 0.0000799089 6138632.294 6037727.821 6084376.763 362.19657 27.55608 143.57717 0.0003059609 225.69712 359.002 0.052486 845.049 271.006 0.00205897758 0.00623230287 0.0000815302 0.0000804588 6124876.082 6024715.473 6070157.267 365.27965 13.79318 143.06526 0.0003059890 225.81442 360.001 0.052632 844.528 270.952 0.00204239393 0.00626242908 0.0000809987 0.0000809996 6111633.847 6012220.212 6056465.974 368.36453 0.05040 142.57238 0.0003059983 225.81833 Engine speed (Hz) = 19.0000000000 Output power (W) = 4290.5413843438 Heat into heater (W) = 6998.9260044088 Heat to regenerator (W) = 0.9576334592 Heat removal from cooler (W) = 2708.8751661953 Approximate Pumping loss (W) = -520.0474050284 Thermal efficiency (%) = 61.3028539185 The average engine pressure (Pa) = 8444372.0204350147 The exp space work per cycle (J) = 368.3716205986 The comp space work per cycle (J) = -142.5536530016 The net work per cycle (J) = 225.8179675970 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -914.8445780304 The expansion work for Vmin-to-Vmax (J) = 1140.6625456275 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 845.032 270.994 0.00204368311 0.00625904933 0.0000809991 0.0000809992 6119109.796 6009937.125 6058579.508 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000139 844.530 270.945 0.00202698506 0.00628883276 0.0000804572 0.0000815317 6106362.617 5998010.172 6045350.425 3.08625 -13.75886 -0.47625 0.0003059889 -0.11446 2.002 0.000278 844.047 270.901 0.00201021476 0.00631816667 0.0000799060 0.0000820547 6094127.255 5986598.311 6032648.839 6.17312 -27.49458 -0.93350 0.0003059607 -0.34182 3.002 0.000417 843.584 270.861 0.00199337483 0.00634704990 0.0000793458 0.0000825680 6082402.261 5975699.931 6020473.282 9.25999 -41.20547 -1.37182 0.0003059138 -0.68157 4.003 0.000556 843.140 270.826 0.00197646787 0.00637548125 0.0000787767 0.0000830715 6071186.230 5965313.471 6008822.327 12.34624 -54.88991 -1.79126 0.0003058482 -1.13322 5.004 0.000695 842.716 270.795 0.00195949645 0.00640345953 0.0000781989 0.0000835649 6060477.804 5955437.423 5997694.594 15.43123 -68.54625 -2.19186 0.0003057638 -1.69625 6.005 0.000834 842.311 270.769 0.00194246310 0.00643098351 0.0000776126 0.0000840482 6050275.672 5946070.325 5987088.746 18.51435 -82.17288 -2.57367 0.0003056607 -2.37015 7.006 0.000973 841.926 270.747 0.00192537034 0.00645805197 0.0000770179 0.0000845211 6040578.572 5937210.771 5977003.500 21.59494 -95.76819 -2.93674 0.0003055390 -3.15439 8.006 0.001112 841.561 270.730 0.00190822066 0.00648466362 0.0000764150 0.0000849836 6031385.290 5928857.405 5967437.621 24.67237 -109.33059 -3.28111 0.0003053986 -4.04846 9.000 0.001250 841.217 270.718 0.00189114048 0.00651063065 0.0000758086 0.0000854323 6022755.396 5921063.592 5958453.170 27.72388 -122.76128 -3.60455 0.0003052409 -5.04422 10.001 0.001389 840.891 270.710 0.00187388470 0.00653632808 0.0000751900 0.0000858735 6014562.719 5913715.138 5949918.817 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-67.31120 291.002 0.040417 922.146 285.320 0.00282626547 0.00324886710 0.0000899800 0.0000325487 8312820.493 8173587.586 8310643.024 183.05004 875.61948 224.84861 0.0002665286 -59.01408 292.003 0.040556 920.546 284.942 0.00282345601 0.00330218735 0.0000902829 0.0000332455 8262332.013 8122824.020 8259577.528 185.11096 866.39820 223.01025 0.0002675284 -50.82471 293.004 0.040695 918.954 284.570 0.00282028268 0.00335543415 0.0000905736 0.0000339475 8212335.503 8072577.262 8208954.142 187.18987 856.98038 221.18781 0.0002685211 -42.74440 294.005 0.040834 917.372 284.204 0.00281675081 0.00340859152 0.0000908521 0.0000346544 8162837.817 8022855.393 8158783.651 189.28710 847.37134 219.38168 0.0002695065 -34.77439 295.006 0.040973 915.800 283.845 0.00281286577 0.00346164400 0.0000911181 0.0000353662 8113845.525 7973665.902 8109076.259 191.40293 837.57634 217.59221 0.0002704842 -26.91585 296.006 0.041112 914.237 283.492 0.00280863296 0.00351457663 0.0000913717 0.0000360824 8065364.883 7925015.725 8059841.611 193.53763 827.60060 215.81976 0.0002714541 -19.16991 297.000 0.041250 912.695 283.147 0.00280409194 0.00356699565 0.0000916110 0.0000367978 8017745.020 7877255.381 8011437.809 195.67589 817.52292 214.07723 0.0002724088 -11.59212 298.001 0.041389 911.152 282.806 0.00279918233 0.00361964689 0.0000918394 0.0000375224 7970301.357 7829698.559 7963171.883 197.84894 807.20232 212.33965 0.0002733619 -4.07367 299.002 0.041528 909.620 282.470 0.00279394126 0.00367213654 0.0000920552 0.0000382510 7923386.099 7782698.748 7915404.410 200.04154 796.71622 210.62002 0.0002743062 3.32917 300.002 0.041667 908.099 282.140 0.00278837419 0.00372445164 0.0000922583 0.0000389832 7877004.175 7736260.916 7868142.986 202.25391 786.06959 208.91861 0.0002752414 10.61551 301.003 0.041806 906.590 281.815 0.00278248659 0.00377657968 0.0000924485 0.0000397188 7831160.180 7690389.598 7821394.734 204.48619 775.26732 207.23567 0.0002761672 17.78450 302.004 0.041945 905.092 281.495 0.00277628390 0.00382850861 0.0000926258 0.0000404576 7785858.386 7645088.909 7775166.322 206.73856 764.31424 205.57145 0.0002770834 24.83535 303.005 0.042084 903.606 281.181 0.00276977156 0.00388022685 0.0000927902 0.0000411994 7741102.743 7600362.569 7729463.977 209.01112 753.21509 203.92617 0.0002779896 31.76732 304.006 0.042223 902.132 280.873 0.00276295498 0.00393172322 0.0000929416 0.0000419440 7696896.892 7556213.919 7684293.504 211.30401 741.97455 202.30003 0.0002788856 38.57970 305.006 0.042362 900.671 280.569 0.00275583956 0.00398298701 0.0000930800 0.0000426911 7653244.170 7512645.940 7639660.294 213.61729 730.59722 200.69323 0.0002797711 45.27186 306.000 0.042500 899.233 280.273 0.00274848501 0.00403364173 0.0000932044 0.0000434351 7610455.672 7469968.421 7595884.599 215.93418 719.17090 199.11731 0.0002806396 51.79634 307.001 0.042639 897.797 279.979 0.00274079004 0.00408441167 0.0000933167 0.0000441866 7567914.020 7427565.143 7552336.580 218.28830 707.53441 197.54958 0.0002815034 58.24716 308.002 0.042778 896.375 279.691 0.00273281220 0.00413491937 0.0000934159 0.0000449399 7525933.765 7385749.467 7509339.660 220.66297 695.77447 196.00169 0.0002823558 64.57608 309.002 0.042917 894.966 279.407 0.00272455676 0.00418515569 0.0000935019 0.0000456949 7484517.126 7344523.095 7466897.739 223.05820 683.89538 194.47378 0.0002831968 70.78263 310.003 0.043056 893.571 279.128 0.00271602896 0.00423511188 0.0000935747 0.0000464512 7443666.069 7303887.452 7425014.378 225.47397 671.90135 192.96598 0.0002840259 76.86639 311.004 0.043195 892.190 278.855 0.00270723398 0.00428477956 0.0000936342 0.0000472087 7403382.314 7263843.695 7383692.811 227.91025 659.79656 191.47841 0.0002848429 82.82695 312.005 0.043334 890.823 278.586 0.00269817698 0.00433415068 0.0000936806 0.0000479671 7363667.346 7224392.727 7342935.960 230.36700 647.58508 190.01116 0.0002856476 88.66396 313.006 0.043473 889.471 278.321 0.00268886306 0.00438321754 0.0000937136 0.0000487262 7324522.424 7185535.214 7302746.446 232.84415 635.27091 188.56434 0.0002864398 94.37712 314.006 0.043612 888.133 278.062 0.00267929728 0.00443197278 0.0000937335 0.0000494857 7285948.590 7147271.594 7263126.604 235.34160 622.85798 187.13802 0.0002872192 99.96613 315.000 0.043750 886.820 277.809 0.00266955612 0.00448006204 0.0000937400 0.0000502400 7248218.032 7109870.974 7224357.368 237.84107 610.44047 185.74233 0.0002879800 105.39189 316.001 0.043889 885.512 277.558 0.00265950332 0.00452817557 0.0000937334 0.0000509998 7210784.568 7072791.340 7185878.652 240.37866 597.84218 184.35710 0.0002887332 110.73282 317.002 0.044028 884.219 277.313 0.00264921350 0.00457595730 0.0000937135 0.0000517594 7173924.118 7036305.682 7147974.999 242.93619 585.15646 182.99256 0.0002894728 115.94896 318.002 0.044167 882.942 277.072 0.00263869152 0.00462340109 0.0000936803 0.0000525185 7137636.958 7000413.656 7110647.717 245.51350 572.38695 181.64878 0.0002901988 121.04018 319.003 0.044306 881.680 276.835 0.00262794218 0.00467050105 0.0000936339 0.0000532769 7101923.193 6965114.750 7073897.885 248.11041 559.53723 180.32579 0.0002909107 126.00636 320.004 0.044445 880.435 276.604 0.00261697023 0.00471725160 0.0000935742 0.0000540343 7066782.767 6930408.292 7037726.366 250.72674 546.61081 179.02361 0.0002916085 130.84740 321.005 0.044584 879.205 276.376 0.00260578037 0.00476364738 0.0000935013 0.0000547906 7032215.472 6896293.465 7002133.815 253.36227 533.61111 177.74228 0.0002922920 135.56325 322.006 0.044723 877.992 276.153 0.00259437722 0.00480968331 0.0000934152 0.0000555456 6998220.956 6862769.314 6967120.693 256.01678 520.54150 176.48181 0.0002929608 140.15387 323.006 0.044862 876.794 275.935 0.00258276538 0.00485535453 0.0000933160 0.0000562989 6964798.731 6829834.753 6932687.275 258.69003 507.40528 175.24221 0.0002936149 144.61926 324.000 0.045000 875.622 275.723 0.00257103508 0.00490033184 0.0000932044 0.0000570449 6932182.474 6797719.186 6899075.139 261.36234 494.30087 174.03217 0.0002942494 148.92866 325.001 0.045139 874.458 275.514 0.00255902078 0.00494526270 0.0000930790 0.0000577943 6899898.756 6765955.863 6865797.089 264.07215 481.04150 172.83416 0.0002948734 153.14456 326.002 0.045278 873.310 275.309 0.00254681113 0.00498981569 0.0000929405 0.0000585414 6868185.132 6734778.204 6833098.554 266.79989 467.72501 171.65701 0.0002954820 157.23536 327.002 0.045417 872.180 275.108 0.00253441050 0.00503398680 0.0000927890 0.0000592860 6837040.649 6704184.697 6800979.163 269.54526 454.35444 170.50071 0.0002960750 161.20113 328.003 0.045556 871.066 274.913 0.00252182319 0.00507777225 0.0000926245 0.0000600278 6806464.252 6674173.743 6769438.409 272.30795 440.93278 169.36525 0.0002966523 165.04200 329.004 0.045695 869.970 274.721 0.00250905341 0.00512116844 0.0000924471 0.0000607666 6776454.798 6644743.662 6738475.655 275.08763 427.46296 168.25059 0.0002972137 168.75809 330.005 0.045834 868.891 274.534 0.00249610535 0.00516417195 0.0000922568 0.0000615022 6747011.057 6615892.704 6708090.141 277.88395 413.94783 167.15671 0.0002977590 172.34956 331.006 0.045973 867.829 274.352 0.00248298312 0.00520677951 0.0000920537 0.0000622343 6718131.720 6587619.051 6678280.995 280.69657 400.39021 166.08358 0.0002982880 175.81657 332.006 0.046112 866.785 274.174 0.00246969079 0.00524898804 0.0000918378 0.0000629628 6689815.407 6559920.827 6649047.241 283.52512 386.79285 165.03116 0.0002988007 179.15931 333.000 0.046250 865.765 274.001 0.00245632975 0.00529049527 0.0000916109 0.0000636823 6662258.342 6532989.200 6620591.938 286.34870 373.25666 164.00677 0.0002992932 182.35528 334.001 0.046389 864.757 273.832 0.00244271031 0.00533189998 0.0000913698 0.0000644028 6635059.651 6506431.894 6592501.532 289.20786 359.58808 162.99552 0.0002997727 185.45102 335.002 0.046528 863.765 273.667 0.00242893256 0.00537289730 0.0000911162 0.0000651191 6608419.478 6480444.108 6564983.040 292.08178 345.88768 162.00485 0.0003002352 188.42317 336.002 0.046667 862.792 273.507 0.00241500033 0.00541348469 0.0000908501 0.0000658307 6582336.212 6455023.789 6538035.138 294.97005 332.15799 161.03473 0.0003006808 191.27197 337.003 0.046806 861.837 273.351 0.00240091742 0.00545365977 0.0000905716 0.0000665377 6556808.198 6430168.855 6511656.434 297.87225 318.40150 160.08510 0.0003011092 193.99771 338.004 0.046945 860.900 273.199 0.00238668752 0.00549342025 0.0000902808 0.0000672396 6531833.743 6405877.196 6485845.474 300.78794 304.62065 159.15590 0.0003015204 196.60066 339.005 0.047084 859.982 273.052 0.00237231432 0.00553276395 0.0000899777 0.0000679364 6507411.118 6382146.684 6460600.744 303.71669 290.81785 158.24709 0.0003019141 199.08112 340.006 0.047223 859.081 272.909 0.00235780141 0.00557168883 0.0000896626 0.0000686278 6483538.565 6358975.174 6435920.685 306.65804 276.99543 157.35861 0.0003022904 201.43942 341.006 0.047362 858.199 272.771 0.00234315235 0.00561019290 0.0000893354 0.0000693135 6460214.305 6336360.511 6411803.690 309.61152 263.15570 156.49040 0.0003026489 203.67586 342.000 0.047500 857.342 272.638 0.00232847747 0.00564800184 0.0000889988 0.0000699886 6437598.455 6314457.260 6388415.577 312.55529 249.40066 155.64842 0.0003029874 205.77601 343.001 0.047639 856.496 272.509 0.00231356750 0.00568566182 0.0000886479 0.0000706626 6415361.444 6292945.830 6365415.721 315.53154 235.53315 154.82043 0.0003033105 207.77066 344.002 0.047778 855.670 272.384 0.00229853173 0.00572289562 0.0000882853 0.0000713303 6393667.289 6271984.769 6342973.912 318.51848 221.65498 154.01252 0.0003036157 209.64450 345.002 0.047917 854.862 272.263 0.00228337349 0.00575970161 0.0000879112 0.0000719916 6372514.152 6251571.916 6321088.421 321.51561 207.76829 153.22465 0.0003039028 211.39790 346.003 0.048056 854.073 272.147 0.00226809609 0.00579607822 0.0000875255 0.0000726463 6351900.194 6231705.120 6299757.500 324.52244 193.87520 152.45673 0.0003041718 213.03125 347.004 0.048195 853.303 272.036 0.00225270279 0.00583202392 0.0000871285 0.0000732941 6331823.572 6212382.239 6278979.390 327.53843 179.97775 151.70872 0.0003044226 214.54494 348.005 0.048334 852.551 271.929 0.00223719679 0.00586753728 0.0000867202 0.0000739349 6312282.449 6193601.150 6258752.320 330.56308 166.07799 150.98055 0.0003046550 215.93936 349.006 0.048473 851.819 271.826 0.00222158124 0.00590261687 0.0000863007 0.0000745684 6293274.993 6175359.743 6239074.516 333.59584 152.17791 150.27215 0.0003048692 217.21493 350.006 0.048612 851.105 271.728 0.00220585927 0.00593726134 0.0000858703 0.0000751946 6274799.384 6157655.933 6219944.204 336.63618 138.27948 149.58346 0.0003050649 218.37206 351.000 0.048750 850.415 271.635 0.00219014816 0.00597122484 0.0000854322 0.0000758087 6256981.028 6140609.262 6201491.370 339.66161 124.48458 148.91915 0.0003052409 219.40412 352.001 0.048889 849.740 271.545 0.00217422321 0.00600499832 0.0000849803 0.0000764195 6239559.908 6123970.651 6183446.829 342.71543 110.59518 148.26955 0.0003053997 220.32649 353.002 0.049028 849.083 271.460 0.00215820089 0.00603833284 0.0000845177 0.0000770223 6222665.273 6107863.543 6165944.504 345.77517 96.71313 147.63947 0.0003055400 221.13173 354.002 0.049167 848.446 271.380 0.00214208415 0.00607122717 0.0000840447 0.0000776169 6206295.373 6092285.961 6148982.660 348.84027 82.84028 147.02884 0.0003056616 221.82026 355.003 0.049306 847.828 271.304 0.00212587588 0.00610368012 0.0000835613 0.0000782031 6190448.479 6077235.962 6132559.575 351.91016 68.97846 146.43761 0.0003057645 222.39256 356.004 0.049445 847.229 271.233 0.00210957895 0.00613569051 0.0000830678 0.0000787809 6175122.892 6062711.636 6116673.552 354.98426 55.12946 145.86571 0.0003058487 222.84907 357.005 0.049584 846.650 271.166 0.00209319619 0.00616725716 0.0000825643 0.0000793499 6160316.941 6048711.115 6101322.917 358.06199 41.29506 145.31309 0.0003059142 223.19027 358.006 0.049723 846.089 271.104 0.00207673038 0.00619837891 0.0000820510 0.0000799101 6146028.988 6035232.566 6086506.023 361.14276 27.47701 144.77968 0.0003059610 223.41662 359.006 0.049862 845.549 271.046 0.00206018428 0.00622905460 0.0000815279 0.0000804612 6132257.428 6022274.200 6072221.254 364.22596 13.67705 144.26543 0.0003059890 223.52861 360.000 0.050000 845.031 270.993 0.00204368047 0.00625906722 0.0000809991 0.0000809992 6119094.230 6009921.918 6058564.088 367.28880 -0.00406 143.77377 0.0003059983 223.52715 Engine speed (Hz) = 20.0000000000 Output power (W) = 4470.5345546182 Heat into heater (W) = 7345.7759575054 Heat to regenerator (W) = -0.0812324693 Heat removal from cooler (W) = 2875.4754225618 Approximate Pumping loss (W) = -600.2649815416 Thermal efficiency (%) = 60.8585747847 The average engine pressure (Pa) = 8445350.5089189894 The exp space work per cycle (J) = 367.2696858450 The comp space work per cycle (J) = -143.7429581141 The net work per cycle (J) = 223.5267277309 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -915.9783326789 The expansion work for Vmin-to-Vmax (J) = 1139.5050604098 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 845.552 271.036 0.00204490888 0.00625575038 0.0000809958 0.0000810024 6126794.293 6007445.478 6060675.455 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.004 0.000133 845.052 270.988 0.00202825420 0.00628548742 0.0000804554 0.0000815334 6114097.341 5995636.838 6047449.428 3.07062 -13.72755 -0.47614 0.0003059888 -0.12008 2.002 0.000265 844.571 270.945 0.00201152708 0.00631477803 0.0000799058 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947.99381 243.30110 0.0002572722 -139.30950 283.007 0.037435 935.515 288.573 0.00283498071 0.00281953389 0.0000871330 0.0000271932 8735753.135 8587270.709 8735880.249 166.50811 940.78735 241.33288 0.0002583261 -130.16812 284.005 0.037567 933.876 288.137 0.00283528446 0.00287257425 0.0000875288 0.0000278392 8681944.888 8532892.696 8681950.305 168.44959 933.37746 239.39140 0.0002593680 -121.19026 285.003 0.037699 932.232 287.710 0.00283517274 0.00292569304 0.0000879133 0.0000284920 8628411.900 8478962.962 8628361.112 170.38703 925.71996 237.46219 0.0002604053 -112.30873 286.001 0.037831 930.593 287.291 0.00283466960 0.00297886783 0.0000882863 0.0000291514 8575331.846 8425484.834 8575111.019 172.33884 917.83173 235.54519 0.0002614377 -103.52528 287.006 0.037964 928.950 286.876 0.00283376929 0.00303248086 0.0000886505 0.0000298223 8522309.714 8372065.357 8521819.406 174.32105 909.65488 233.62669 0.0002624728 -94.77619 288.004 0.038096 927.325 286.471 0.00283248913 0.00308570644 0.0000890003 0.0000304944 8470146.699 8319518.551 8469303.514 176.30431 901.31728 231.73612 0.0002634947 -86.19463 289.002 0.038228 925.709 286.074 0.00283082820 0.00313892904 0.0000893383 0.0000311724 8418448.248 8267451.980 8417175.598 178.30386 892.76345 229.85951 0.0002645107 -77.71599 290.000 0.038360 924.100 285.684 0.00282879117 0.00319213073 0.0000896645 0.0000318562 8367220.926 8215876.099 8365449.045 180.32010 883.99862 227.99736 0.0002655207 -69.34175 291.006 0.038493 922.486 285.298 0.00282636329 0.00324569669 0.0000899810 0.0000325509 8316088.924 8164415.685 8313749.359 182.36887 874.95932 226.13617 0.0002665319 -61.01108 292.004 0.038625 920.894 284.921 0.00282358614 0.00329880446 0.0000902830 0.0000332457 8265828.007 8113853.724 8262866.002 184.41970 865.78679 224.30437 0.0002675287 -52.85062 293.001 0.038757 919.310 284.551 0.00282044797 0.00335184067 0.0000905729 0.0000339457 8216058.599 8063809.818 8212419.980 186.48828 856.41909 222.48831 0.0002685186 -44.79861 294.007 0.038890 917.723 284.184 0.00281692617 0.00340519027 0.0000908527 0.0000346560 8166415.834 8013918.670 8162044.971 188.59078 846.78830 220.67481 0.0002695086 -36.79654 295.005 0.039022 916.158 283.826 0.00281307899 0.00345803562 0.0000911179 0.0000353656 8117652.486 7964937.799 8112508.693 190.69590 837.04445 218.89150 0.0002704835 -28.96590 296.003 0.039154 914.602 283.475 0.00280888658 0.00351076345 0.0000913708 0.0000360798 8069399.348 7916496.763 8063440.259 192.81963 827.12098 217.12504 0.0002714506 -21.24722 297.001 0.039286 913.057 283.129 0.00280435425 0.00356335948 0.0000916111 0.0000367983 8021662.058 7868601.720 8014848.718 194.96223 817.02294 215.37574 0.0002724095 -13.64156 298.006 0.039419 911.510 282.786 0.00279944922 0.00361620669 0.0000918406 0.0000375264 7974090.244 7820901.789 7966380.038 197.14039 806.67693 213.63087 0.0002733670 -6.09358 299.004 0.039551 909.986 282.452 0.00279425063 0.00366849699 0.0000920558 0.0000382528 7927404.306 7774119.487 7918771.159 199.32155 796.24350 211.91695 0.0002743086 1.28225 300.002 0.039683 908.473 282.123 0.00278872821 0.00372061549 0.0000922582 0.0000389829 7881249.268 7727898.810 7871663.359 201.52223 785.65038 210.22107 0.0002752411 8.54225 301.008 0.039816 906.959 281.798 0.00278284186 0.00377294253 0.0000924493 0.0000397220 7835285.950 7681900.373 7824712.657 203.75949 774.82037 208.53085 0.0002761712 15.73923 302.005 0.039948 905.469 281.480 0.00277668549 0.00382467923 0.0000926260 0.0000404587 7790209.612 7636819.808 7778631.761 205.99983 763.92112 206.87193 0.0002770847 22.76420 303.003 0.040080 903.991 281.167 0.00277022136 0.00387620828 0.0000927900 0.0000411984 7745676.386 7592312.629 7733071.928 208.26014 752.87645 205.23178 0.0002779883 29.67096 304.001 0.040212 902.524 280.860 0.00276345480 0.00392751865 0.0000929410 0.0000419408 7701689.728 7548381.980 7688038.944 210.54053 741.69096 203.61059 0.0002788818 36.45883 305.007 0.040345 901.060 280.556 0.00275633646 0.00397898578 0.0000930800 0.0000426914 7657925.839 7504704.452 7643203.109 212.85860 730.28290 201.99650 0.0002797714 43.17723 306.005 0.040477 899.619 280.259 0.00274897870 0.00402982546 0.0000932050 0.0000434386 7615045.725 7461939.323 7599243.668 215.17955 718.82831 200.41396 0.0002806436 49.72454 307.003 0.040609 898.191 279.967 0.00274133435 0.00408041574 0.0000933169 0.0000441880 7572720.856 7419758.130 7555826.103 217.52080 707.24632 198.85093 0.0002815049 56.15116 308.001 0.040741 896.776 279.680 0.00273340865 0.00413074718 0.0000934158 0.0000449391 7530953.578 7378162.708 7512954.666 219.88238 695.54124 197.30756 0.0002823549 62.45659 309.006 0.040874 895.364 279.396 0.00272514357 0.00418118897 0.0000935022 0.0000456976 7489435.945 7336846.182 7470314.755 222.28242 683.62729 195.77252 0.0002831998 68.68675 310.004 0.041006 893.976 279.119 0.00271666861 0.00423097386 0.0000935747 0.0000464517 7448794.138 7296431.136 7428551.163 224.68482 671.68782 194.26903 0.0002840265 74.74751 311.002 0.041138 892.603 278.847 0.00270792775 0.00428047382 0.0000936341 0.0000472070 7408715.482 7256605.709 7387344.448 227.10753 659.63779 192.78559 0.0002848412 80.68579 312.007 0.041271 891.233 278.578 0.00269885688 0.00433005251 0.0000936807 0.0000479690 7368904.168 7217075.689 7346391.762 229.56908 647.38875 191.31129 0.0002856496 86.54484 313.005 0.041403 889.888 278.315 0.00268959748 0.00437895670 0.0000937136 0.0000487259 7329960.036 7178436.056 7306311.592 232.03240 635.12885 189.86841 0.0002864395 92.23622 314.003 0.041535 888.557 278.057 0.00268008729 0.00442755299 0.0000937334 0.0000494833 7291582.572 7140387.674 7266796.257 234.51583 622.77028 188.44586 0.0002872167 97.80419 315.001 0.041667 887.241 277.804 0.00267033124 0.00447583436 0.0000937400 0.0000502409 7253772.533 7102930.655 7227847.842 237.01928 610.31684 187.04371 0.0002879809 103.24849 316.007 0.041800 885.931 277.554 0.00266025759 0.00452415621 0.0000937333 0.0000510042 7216250.523 7065787.888 7189179.594 239.56182 597.67690 185.65166 0.0002887375 108.60875 317.004 0.041932 884.645 277.310 0.00265002269 0.00457178547 0.0000937134 0.0000517616 7179581.176 7029517.643 7151374.577 242.10507 585.04422 184.29068 0.0002894749 113.80418 318.002 0.042064 883.375 277.070 0.00263955647 0.00461908056 0.0000936803 0.0000525185 7143480.435 6993837.975 7114141.236 244.66793 572.32770 182.95028 0.0002901988 118.87541 319.000 0.042196 882.121 276.836 0.00262886369 0.00466603566 0.0000936340 0.0000532747 7107948.356 6958748.283 7077480.687 247.25022 559.53087 181.63050 0.0002909087 123.82232 320.006 0.042329 880.872 276.604 0.00261786549 0.00471299696 0.0000935741 0.0000540357 7072722.133 6923988.697 7041122.634 249.87155 546.55938 180.32161 0.0002916098 128.68088 321.004 0.042461 879.649 276.378 0.00260673193 0.00475925292 0.0000935014 0.0000547898 7038331.236 6890081.018 7005614.516 252.49228 533.61171 179.04331 0.0002922912 133.37797 322.002 0.042593 878.442 276.157 0.00259538573 0.00480515288 0.0000934156 0.0000555426 7004508.266 6856760.640 6970681.291 255.13184 520.59393 177.78572 0.0002929582 137.95055 323.007 0.042726 877.243 275.939 0.00258374307 0.00485103562 0.0000933159 0.0000562994 6971002.935 6823780.662 6936065.182 257.81020 507.40995 176.53954 0.0002936153 142.43185 324.005 0.042858 876.068 275.727 0.00257198355 0.00489620652 0.0000932038 0.0000570487 6938318.440 6791635.753 6902286.877 260.48683 494.26123 175.32352 0.0002942525 146.75450 325.003 0.042990 874.910 275.519 0.00256002480 0.00494100757 0.0000930787 0.0000577959 6906199.955 6760074.354 6869083.903 263.18153 481.05203 174.12821 0.0002948747 150.95269 326.001 0.043122 873.769 275.316 0.00254787119 0.00498543458 0.0000929406 0.0000585409 6874646.619 6729095.001 6836456.081 265.89403 467.78543 172.95361 0.0002954815 155.02649 327.006 0.043255 872.636 275.115 0.00253543277 0.00502981582 0.0000927884 0.0000592889 6843424.849 6698468.051 6804162.457 268.64478 454.36332 171.79104 0.0002960773 159.00545 328.004 0.043387 871.529 274.921 0.00252290087 0.00507348010 0.0000926244 0.0000600286 6813003.079 6668652.412 6772688.184 271.39211 440.99052 170.65797 0.0002966529 162.82982 329.002 0.043519 870.438 274.731 0.00251018685 0.00511675895 0.0000924474 0.0000607653 6783143.275 6639413.893 6741787.686 274.15631 427.56919 169.54555 0.0002972127 166.53014 330.000 0.043651 869.365 274.546 0.00249729485 0.00515964894 0.0000922577 0.0000614988 6753844.207 6610750.711 6711460.251 276.93705 414.10219 168.45376 0.0002977565 170.10655 331.006 0.043784 868.301 274.364 0.00248412930 0.00520246727 0.0000920537 0.0000622343 6724888.978 6582450.404 6681481.820 279.75523 400.48979 167.37454 0.0002982880 173.58489 332.004 0.043916 867.262 274.187 0.00247089222 0.00524456694 0.0000918385 0.0000629608 6696711.622 6554936.627 6652302.263 282.56811 386.93943 166.32407 0.0002987992 176.91307 333.001 0.044048 866.241 274.015 0.00245748924 0.00528626842 0.0000916106 0.0000636833 6669090.873 6527992.475 6623692.985 285.39645 373.35160 165.29414 0.0002992939 180.11789 334.007 0.044181 865.230 273.846 0.00244382088 0.00532788028 0.0000913683 0.0000644072 6641822.309 6501418.293 6595442.615 288.26146 359.62558 164.27713 0.0002997755 183.22246 335.005 0.044313 864.245 273.683 0.00243009655 0.00536877408 0.0000911154 0.0000651214 6615314.424 6475611.647 6567974.764 291.11967 345.97038 163.28828 0.0003002367 186.18034 336.003 0.044445 863.277 273.524 0.00241621790 0.00540926168 0.0000908500 0.0000658310 6589358.496 6450368.519 6541073.596 293.99215 332.28543 162.31984 0.0003006810 189.01558 337.001 0.044577 862.327 273.369 0.00240218865 0.00544934068 0.0000905723 0.0000665359 6563952.887 6425686.816 6514737.765 296.87849 318.57321 161.37175 0.0003011082 191.72845 338.006 0.044710 861.388 273.218 0.00238790454 0.00548930772 0.0000902801 0.0000672411 6538909.702 6401383.807 6488772.774 299.80027 304.73199 160.43701 0.0003015213 194.33839 339.004 0.044842 860.474 273.072 0.00237358404 0.00552855960 0.0000899780 0.0000679359 6514603.812 6377822.802 6463567.599 302.71312 290.97230 159.52962 0.0003019139 196.80646 340.002 0.044974 859.578 272.931 0.00235912387 0.00556739630 0.0000896637 0.0000686253 6490843.113 6354816.811 6438923.369 305.63852 277.19249 158.64243 0.0003022890 199.15306 341.007 0.045107 858.694 272.793 0.00234441646 0.00560610530 0.0000893350 0.0000693143 6467452.028 6332195.681 6414658.193 308.59829 263.29026 157.76889 0.0003026493 201.39489 342.005 0.045239 857.835 272.661 0.00232968648 0.00564410259 0.0000889969 0.0000699923 6444780.515 6310297.407 6391135.355 311.54748 249.47694 156.92206 0.0003029892 203.49859 343.003 0.045371 856.994 272.533 0.00231482729 0.00568167900 0.0000886470 0.0000706643 6422648.854 6288947.649 6368168.660 314.50780 235.65027 156.09526 0.0003033113 205.48182 344.001 0.045503 856.172 272.410 0.00229984225 0.00571883279 0.0000882855 0.0000713301 6401055.242 6268144.250 6345756.449 317.47878 221.81241 155.28842 0.0003036156 207.34492 345.007 0.045636 855.362 272.290 0.00228461979 0.00575583893 0.0000879095 0.0000719944 6379840.388 6247733.649 6323733.542 320.48254 207.86057 154.49560 0.0003039040 209.10103 346.005 0.045768 854.577 272.175 0.00226939210 0.00579213934 0.0000875249 0.0000726472 6359321.487 6228020.615 6302429.396 323.47342 194.00665 153.72865 0.0003041721 210.72410 347.003 0.045900 853.811 272.065 0.00225404843 0.00582801233 0.0000871290 0.0000732932 6339335.191 6208847.495 6281674.618 326.47344 180.14784 152.98148 0.0003044222 212.22819 348.000 0.046032 853.063 271.959 0.00223859196 0.00586345643 0.0000867219 0.0000739321 6319879.690 6190212.175 6261467.482 329.48209 166.28616 152.25402 0.0003046541 213.61368 349.006 0.046165 852.328 271.857 0.00222290750 0.00589873382 0.0000863006 0.0000745687 6300811.815 6171977.480 6241659.387 332.52174 152.31859 151.54093 0.0003048693 214.89014 350.004 0.046297 851.618 271.760 0.00220723400 0.00593331263 0.0000858714 0.0000751930 6282416.500 6154415.529 6222546.455 335.54613 138.45713 150.85286 0.0003050644 216.03879 351.002 0.046429 850.927 271.667 0.00219145701 0.00596745839 0.0000854314 0.0000758098 6264546.598 6137385.144 6203975.958 338.57755 124.59869 150.18433 0.0003052412 217.07009 352.007 0.046562 850.250 271.579 0.00217545887 0.00600142353 0.0000849773 0.0000764234 6247070.932 6120761.312 6185811.643 341.63849 110.64025 149.53041 0.0003054007 217.99095 353.005 0.046694 849.597 271.495 0.00215948314 0.00603469601 0.0000845160 0.0000770244 6230250.541 6104792.009 6168324.934 344.68237 96.79358 148.90089 0.0003055404 218.78796 354.003 0.046826 848.962 271.416 0.00214341285 0.00606753161 0.0000840443 0.0000776173 6213950.327 6089348.280 6151375.513 347.73162 82.95555 148.29071 0.0003056616 219.46893 355.001 0.046958 848.347 271.341 0.00212725087 0.00609992911 0.0000835624 0.0000782019 6198168.595 6074428.198 6134961.699 350.78567 69.12799 147.69981 0.0003057643 220.03432 356.007 0.047091 847.747 271.271 0.00211087660 0.00613212772 0.0000830666 0.0000787823 6182790.002 6059922.780 6118963.562 353.86713 55.20808 147.12388 0.0003058489 220.48755 357.004 0.047223 847.170 271.205 0.00209453912 0.00616364206 0.0000825645 0.0000793497 6168044.154 6046048.287 6103620.029 356.92908 41.40693 146.57151 0.0003059142 220.82227 358.002 0.047355 846.612 271.144 0.00207811841 0.00619471471 0.0000820526 0.0000799083 6153811.859 6032691.868 6088807.181 359.99410 27.62156 146.03825 0.0003059609 221.04280 359.000 0.047487 846.074 271.087 0.00206161722 0.00622534449 0.0000815311 0.0000804578 6140091.543 6019851.750 6074523.438 363.06158 13.85371 145.52403 0.0003059889 221.14960 360.006 0.047620 845.551 271.034 0.00204491236 0.00625575720 0.0000809960 0.0000810023 6126783.537 6007434.787 6060665.047 366.15419 0.00101 145.02513 0.0003059983 221.14269 Engine speed (Hz) = 21.0000000000 Output power (W) = 4643.9862666219 Heat into heater (W) = 7689.2380679392 Heat to regenerator (W) = 0.0211144697 Heat removal from cooler (W) = 3045.5277847975 Approximate Pumping loss (W) = -688.0040777394 Thermal efficiency (%) = 60.3959225295 The average engine pressure (Pa) = 8446293.1397879627 The exp space work per cycle (J) = 366.1364493142 The comp space work per cycle (J) = -144.9942461417 The net work per cycle (J) = 221.1422031725 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -917.1598403729 The expansion work for Vmin-to-Vmax (J) = 1138.3020435454 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 846.095 271.079 0.00204628312 0.00625213694 0.0000809956 0.0000810026 6134864.476 6004912.833 6062939.247 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.004 0.000127 845.596 271.032 0.00202962409 0.00628191666 0.0000804552 0.0000815336 6122180.135 5993189.036 6049674.467 3.06357 -13.73613 -0.47753 0.0003059888 -0.12577 2.002 0.000253 845.116 270.990 0.00201289199 0.00631125050 0.0000799056 0.0000820551 6110001.789 5981975.569 6036934.329 6.12785 -27.45009 -0.93618 0.0003059607 -0.36381 3.000 0.000379 844.655 270.952 0.00199608944 0.00634013726 0.0000793470 0.0000825669 6098328.038 5971270.843 6024717.417 9.19222 -41.14023 -1.37599 0.0003059140 -0.71362 4.006 0.000506 844.211 270.919 0.00197908488 0.00636879958 0.0000787751 0.0000830729 6087070.874 5960994.408 6012931.622 12.28038 -54.91322 -1.80027 0.0003058480 -1.17881 5.004 0.000632 843.789 270.890 0.00196214869 0.00639678485 0.0000781989 0.0000835649 6076406.254 5951306.599 6001761.208 15.34306 -68.55051 -2.20241 0.0003057638 -1.75155 6.002 0.000758 843.386 270.866 0.00194514979 0.00642431924 0.0000776143 0.0000840468 6066242.276 5942123.047 5991110.017 18.40396 -82.15903 -2.58585 0.0003056611 -2.43454 7.008 0.000885 843.000 270.846 0.00192795507 0.00645161459 0.0000770166 0.0000845221 6056503.011 5933375.478 5980898.460 21.48671 -95.84480 -2.95347 0.0003055387 -3.23399 8.006 0.001011 842.636 270.830 0.00191083782 0.00647823973 0.0000764155 0.0000849833 6047340.656 5925200.303 5971286.152 24.54211 -109.39066 -3.29951 0.0003053987 -4.13680 9.004 0.001137 842.292 270.820 0.00189366538 0.00650441001 0.0000758064 0.0000854339 6038675.426 5917525.369 5962189.499 27.59381 -122.90291 -3.62699 0.0003052403 -5.14830 10.002 0.001263 841.967 270.814 0.00187644018 0.00653012407 0.0000751896 0.0000858738 6030506.252 5910349.445 5953607.416 30.64117 -136.37996 -3.93595 0.0003050634 -6.26796 11.007 0.001390 841.659 270.812 0.00185902736 0.00655557909 0.0000745602 0.0000863063 6022773.195 5903620.345 5945476.893 33.70764 -149.92672 -4.22864 0.0003048665 -7.50541 12.005 0.001516 841.373 270.815 0.00184170356 0.00658037275 0.0000739284 0.0000867244 6015597.069 5897442.912 5937924.991 36.74429 -163.32828 -4.50051 0.0003046528 -8.84064 13.003 0.001642 841.106 270.822 0.00182433428 0.00660470581 0.0000732894 0.0000871314 6008914.120 5891761.121 5930884.742 39.77460 -176.68987 -4.75396 0.0003044208 -10.28241 14.001 0.001768 840.859 270.834 0.00180692189 0.00662857672 0.0000726434 0.0000875272 6002723.502 5886573.965 5924355.291 42.79793 -190.00993 -4.98902 0.0003041706 -11.83018 15.007 0.001895 840.630 270.851 0.00178933008 0.00665216783 0.0000719854 0.0000879148 5996981.162 5881845.212 5918290.110 45.83750 -203.39207 -5.20737 0.0003039002 -13.49694 16.005 0.002021 840.422 270.872 0.00177183825 0.00667510598 0.0000713259 0.0000882878 5991776.797 5877648.429 5912783.979 48.84476 -216.62397 -5.40559 0.0003036137 -15.25589 17.003 0.002147 840.233 270.898 0.00175431039 0.00669757708 0.0000706601 0.0000886492 5987062.574 5873943.582 5907786.450 51.84300 -229.80961 -5.58550 0.0003033093 -17.11917 18.001 0.002273 840.064 270.928 0.00173674882 0.00671957941 0.0000699881 0.0000889990 5982837.888 5870729.888 5903296.920 54.83153 -242.94741 -5.74712 0.0003029871 -19.08622 19.007 0.002400 839.913 270.963 0.00171901611 0.00674128019 0.0000693046 0.0000893397 5979074.498 5867986.964 5899285.275 57.83327 -256.13947 -5.89154 0.0003026444 -21.17332 20.004 0.002526 839.783 271.002 0.00170139384 0.00676233581 0.0000686208 0.0000896658 5975831.186 5865757.330 5895814.217 60.80024 -269.17646 -6.01650 0.0003022866 -23.34702 21.002 0.002652 839.673 271.046 0.00168374481 0.00678291711 0.0000679313 0.0000899800 5973075.960 5864016.826 5892849.741 63.75542 -282.16087 -6.12322 0.0003019113 -25.62278 22.000 0.002778 839.582 271.094 0.00166607131 0.00680302214 0.0000672365 0.0000902821 5970808.464 5862764.892 5890391.512 66.69813 -295.09112 -6.21172 0.0003015186 -28.00000 23.006 0.002905 839.510 271.148 0.00164823510 0.00682280271 0.0000665310 0.0000905743 5969016.232 5861996.910 5888425.791 69.65084 -308.06756 -6.28248 0.0003011053 -30.49819 24.004 0.003031 839.458 271.205 0.00163051938 0.00684194523 0.0000658261 0.0000908519 5967727.261 5861724.522 5886983.336 72.56636 -320.88423 -6.33441 0.0003006780 -33.07741 25.002 0.003157 839.426 271.267 0.00161278606 0.00686060517 0.0000651164 0.0000911172 5966925.346 5861939.348 5886046.536 75.46726 -333.64192 -6.36814 0.0003002336 -35.75632 26.008 0.003284 839.413 271.334 0.00159489651 0.00687892262 0.0000643966 0.0000913720 5966609.846 5862648.561 5885613.936 78.37569 -346.43954 -6.38371 0.0002997686 -38.55678 27.006 0.003410 839.420 271.406 0.00157713475 0.00689660680 0.0000636780 0.0000916123 5966785.705 5863840.702 5885692.365 81.24510 -359.07391 -6.38089 0.0002992904 -41.43408 28.004 0.003536 839.447 271.481 0.00155936226 0.00691380150 0.0000629555 0.0000918401 5967448.550 5865519.184 5886276.499 84.09774 -371.64442 -6.35986 0.0002987955 -44.40927 29.002 0.003662 839.493 271.562 0.00154158133 0.00693050427 0.0000622290 0.0000920552 5968598.495 5867683.823 5887366.501 86.93289 -384.14940 -6.32062 0.0002982843 -47.48172 30.007 0.003789 839.559 271.647 0.00152365306 0.00694683924 0.0000614931 0.0000922592 5970250.663 5870357.463 5888977.300 89.77209 -396.68564 -6.26263 0.0002977524 -50.67637 31.005 0.003915 839.644 271.737 0.00150586209 0.00696254656 0.0000607596 0.0000924489 5972379.290 5873497.912 5891083.839 92.56991 -409.05402 -6.18679 0.0002972085 -53.94226 32.003 0.004041 839.749 271.831 0.00148806957 0.00697775412 0.0000600229 0.0000926257 5974995.772 5877124.254 5893697.178 95.34803 -421.35183 -6.09271 0.0002966486 -57.30355 33.001 0.004167 839.873 271.929 0.00147027782 0.00699245918 0.0000592832 0.0000927896 5978100.501 5881236.497 5896817.776 98.10572 -433.57737 -5.98037 0.0002960728 -60.75959 34.007 0.004294 840.018 272.033 0.00145234799 0.00700676954 0.0000585349 0.0000929418 5981724.414 5885873.130 5900476.996 100.86386 -445.82506 -5.84864 0.0002954767 -64.33829 35.005 0.004420 840.182 272.141 0.00143456477 0.00702045690 0.0000577900 0.0000930798 5985810.980 5890961.232 5904617.826 103.57827 -457.90025 -5.69957 0.0002948697 -67.98264 36.003 0.004546 840.365 272.254 0.00141678932 0.00703363294 0.0000570427 0.0000932048 5990387.399 5896535.520 5909267.751 106.27000 -469.89792 -5.53217 0.0002942475 -71.71980 37.001 0.004672 840.567 272.370 0.00139902398 0.00704629455 0.0000562934 0.0000933167 5995454.349 5902596.168 5914427.532 108.93831 -481.81630 -5.34642 0.0002936101 -75.54908 38.007 0.004799 840.791 272.493 0.00138113028 0.00705853283 0.0000555363 0.0000934164 6001058.662 5909197.299 5920145.058 111.60332 -493.74720 -5.14059 0.0002929527 -79.50132 39.005 0.004925 841.033 272.619 0.00136339240 0.00707015176 0.0000547835 0.0000935021 6007112.912 5916235.206 5926331.213 114.22230 -505.50089 -4.91789 0.0002922856 -83.51357 40.002 0.005051 841.294 272.750 0.00134567178 0.00708124637 0.0000540294 0.0000935746 6013660.176 5923760.214 5933029.984 116.81558 -517.16980 -4.67673 0.0002916040 -87.61593 41.000 0.005177 841.574 272.885 0.00132797085 0.00709181318 0.0000532741 0.0000936341 6020701.427 5931772.629 5940242.446 119.38239 -528.75206 -4.41708 0.0002909081 -91.80768 42.006 0.005304 841.877 273.026 0.00131015182 0.00710192615 0.0000525118 0.0000936806 6028299.513 5940342.196 5948033.142 121.94202 -540.33664 -4.13662 0.0002901925 -96.12247 43.004 0.005430 842.197 273.170 0.00129249777 0.00711142231 0.0000517549 0.0000937136 6036335.912 5949334.315 5956280.628 124.45337 -551.73916 -3.83971 0.0002894685 -100.49161 44.002 0.005556 842.536 273.319 0.00127487077 0.00712037962 0.0000509976 0.0000937334 6044869.694 5958814.896 5965045.520 126.93595 -563.04925 -3.52417 0.0002887310 -104.94802 45.000 0.005682 842.894 273.472 0.00125727333 0.00712879421 0.0000502400 0.0000937400 6053902.144 5968784.317 5974329.218 129.38898 -574.26493 -3.18996 0.0002879800 -109.49096 46.006 0.005809 843.275 273.631 0.00123956869 0.00713672233 0.0000494764 0.0000937333 6063512.289 5979327.924 5984213.102 131.83079 -585.47207 -2.83414 0.0002872096 -114.15678 47.004 0.005935 843.673 273.794 0.00122203823 0.00714403500 0.0000487190 0.0000937134 6073550.252 5990280.060 5994543.106 134.22214 -596.49212 -2.46226 0.0002864324 -118.87124 48.002 0.006061 844.090 273.961 0.00120454498 0.00715079260 0.0000479621 0.0000936803 6084091.259 6001722.173 6005396.656 136.58161 -607.41164 -2.07153 0.0002856424 -123.67000 49.008 0.006188 844.530 274.134 0.00118695319 0.00715703773 0.0000471999 0.0000936336 6095226.632 6013751.271 6016867.928 138.92674 -618.31395 -1.65857 0.0002848335 -128.59134 50.005 0.006314 844.986 274.310 0.00116954256 0.00716266751 0.0000464446 0.0000935741 6106782.754 6026178.234 6028778.154 141.21981 -629.02523 -1.22980 0.0002840187 -133.55700 51.003 0.006440 845.461 274.490 0.00115217706 0.00716772874 0.0000456904 0.0000935014 6118847.140 6039096.090 6041217.550 143.47864 -639.62955 -0.78198 0.0002831919 -138.60460 52.001 0.006566 845.956 274.675 0.00113485940 0.00717221663 0.0000449377 0.0000934156 6131421.746 6052505.017 6054188.224 145.70243 -650.12468 -0.31504 0.0002823533 -143.73334 53.007 0.006693 846.475 274.866 0.00111745548 0.00717615491 0.0000441806 0.0000933159 6144614.578 6066517.371 6067801.743 147.90759 -660.59031 0.17505 0.0002814965 -148.98406 54.005 0.006819 847.008 275.060 0.00110024218 0.00717947634 0.0000434313 0.0000932038 6158220.136 6080912.396 6081846.167 150.05861 -670.85930 0.68065 0.0002806351 -154.27324 55.003 0.006945 847.562 275.259 0.00108308508 0.00718220879 0.0000426841 0.0000930787 6172342.701 6095798.158 6096429.224 152.17218 -681.01211 1.20564 0.0002797628 -159.64107 56.001 0.007071 848.134 275.462 0.00106598707 0.00718434644 0.0000419391 0.0000929406 6186984.966 6111173.977 6111553.886 154.24747 -691.04627 1.75013 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6608343.569 190.08264 -885.03639 17.98950 0.0002562176 -309.94682 80.006 0.010102 867.400 282.182 0.00067994304 0.00705105378 0.0000252854 0.0000858703 6694280.208 6650001.321 6636593.975 191.06196 -891.64484 18.86199 0.0002551557 -317.02068 81.004 0.010228 868.417 282.542 0.00066530959 0.00703742081 0.0000246687 0.0000854303 6721842.929 6679847.805 6665170.810 191.97977 -898.02210 19.74471 0.0002540990 -324.09003 82.002 0.010354 869.450 282.908 0.00065082242 0.00702310016 0.0000240597 0.0000849796 6749931.715 6710301.909 6694295.004 192.84347 -904.21783 20.64500 0.0002530393 -331.20904 83.000 0.010480 870.499 283.281 0.00063648575 0.00700808703 0.0000234586 0.0000845184 6778547.447 6741364.735 6723967.125 193.65255 -910.22892 21.56344 0.0002519770 -338.37634 84.006 0.010607 871.573 283.663 0.00062219198 0.00699224913 0.0000228610 0.0000840430 6807924.362 6773291.103 6754429.693 194.41228 -916.09769 22.50812 0.0002509040 -345.64799 85.004 0.010733 872.654 284.047 0.00060817061 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0.00268087126 0.00442311942 0.0000937334 0.0000494830 7297293.623 7133135.220 7270485.928 233.68372 622.55167 189.79594 0.0002872164 95.57476 315.001 0.039773 887.681 277.800 0.00267114359 0.00447138251 0.0000937400 0.0000502406 7259572.076 7095787.776 7231527.313 236.18005 610.11699 188.39343 0.0002879806 101.01373 316.007 0.039900 886.373 277.550 0.00266109444 0.00451970516 0.0000937333 0.0000510042 7222124.637 7058742.863 7192833.489 238.71624 597.49087 187.00045 0.0002887375 106.37051 317.004 0.040026 885.091 277.307 0.00265088691 0.00456731993 0.0000937134 0.0000517616 7185541.358 7022583.494 7155015.441 241.25223 584.87584 185.63900 0.0002894749 111.56058 318.002 0.040152 883.824 277.069 0.00264044757 0.00461460247 0.0000936803 0.0000525185 7149525.288 6987015.092 7117767.626 243.80777 572.17641 184.29808 0.0002901988 116.62646 319.000 0.040278 882.573 276.835 0.00262978114 0.00466154691 0.0000936340 0.0000532747 7114076.429 6952036.964 7081091.205 246.38268 559.39610 182.97773 0.0002909087 121.56802 320.006 0.040405 881.328 276.604 0.00261880497 0.00470851614 0.0000935741 0.0000540360 7078920.061 6917377.700 7044702.875 248.99745 546.43601 181.66775 0.0002916100 126.42291 321.004 0.040531 880.108 276.379 0.00260769654 0.00475476509 0.0000935014 0.0000547901 7044609.536 6883582.130 7009176.425 251.61069 533.50364 180.38880 0.0002922915 131.11461 322.002 0.040657 878.904 276.159 0.00259637487 0.00480065990 0.0000934156 0.0000555429 7010865.357 6850373.905 6974223.609 254.24272 520.50056 179.13049 0.0002929584 135.68182 323.008 0.040784 877.707 275.942 0.00258475212 0.00484655564 0.0000933158 0.0000563000 6977425.913 6817495.235 6939574.237 256.91440 507.32604 177.88312 0.0002936158 140.15928 324.006 0.040910 876.536 275.731 0.00257301579 0.00489172488 0.0000932038 0.0000570493 6944817.134 6785462.553 6905774.157 259.58342 494.19076 176.66631 0.0002942530 144.47651 325.004 0.041036 875.381 275.524 0.00256107958 0.00493652604 0.0000930786 0.0000577965 6912772.689 6754013.209 6872548.285 262.27047 480.99436 175.47018 0.0002948751 148.66928 326.002 0.041162 874.243 275.322 0.00254894783 0.00498095490 0.0000929405 0.0000585414 6881291.691 6723145.675 6839896.488 264.97530 467.73994 174.29472 0.0002954820 152.73767 327.007 0.041289 873.113 275.123 0.00253652626 0.00502535557 0.0000927882 0.0000592897 6850130.015 6692620.274 6807566.194 267.71927 454.32464 173.13083 0.0002960780 156.71257 328.005 0.041415 872.009 274.930 0.00252401474 0.00506902498 0.0000926242 0.0000600294 6819777.309 6662916.014 6776066.120 270.45887 440.96270 171.99682 0.0002966535 160.53149 329.003 0.041541 870.921 274.741 0.00251132039 0.00511231062 0.0000924473 0.0000607661 6789984.813 6633788.470 6745138.873 273.21532 427.55159 170.88344 0.0002972133 164.22635 330.001 0.041667 869.851 274.557 0.00249844732 0.00515520904 0.0000922575 0.0000614995 6760751.284 6605235.811 6714783.786 275.98829 414.09416 169.79066 0.0002977571 167.79729 331.007 0.041794 868.789 274.375 0.00248529536 0.00519805273 0.0000920534 0.0000622354 6731850.047 6577036.369 6684765.982 278.79965 400.48587 168.71002 0.0002982888 171.27136 332.005 0.041920 867.753 274.200 0.00247207565 0.00524016384 0.0000918381 0.0000629618 6703734.849 6549632.275 6655557.289 281.60474 386.94375 167.65851 0.0002987999 174.59402 333.003 0.042046 866.735 274.029 0.00245868928 0.00528187831 0.0000916103 0.0000636844 6676174.465 6522797.225 6626918.096 284.42529 373.36351 166.62750 0.0002992946 177.79333 334.001 0.042172 865.734 273.862 0.00244514013 0.00532319330 0.0000913698 0.0000644028 6649167.396 6496529.187 6598847.327 287.26092 359.74777 165.61695 0.0002997727 180.86951 335.007 0.042299 864.743 273.699 0.00243132264 0.00536442920 0.0000911149 0.0000651226 6622504.333 6470624.356 6571127.807 290.13390 345.99064 164.61905 0.0003002375 183.84574 336.005 0.042425 863.778 273.541 0.00241745821 0.00540493405 0.0000908495 0.0000658323 6596603.559 6445488.572 6544194.821 292.99859 332.31133 163.64946 0.0003006818 186.67541 337.002 0.042551 862.830 273.388 0.00240344240 0.00544503169 0.0000905718 0.0000665372 6571251.308 6420913.500 6517826.550 295.87714 318.60409 162.70020 0.0003011089 189.38270 338.000 0.042677 861.901 273.239 0.00238927890 0.00548471980 0.0000902818 0.0000672371 6546445.908 6396896.998 6492021.623 298.76914 304.87137 161.77122 0.0003015189 191.96790 339.006 0.042804 860.982 273.093 0.00237485722 0.00552430623 0.0000899773 0.0000679374 6521995.290 6373252.938 6466580.518 301.69723 291.00628 160.85534 0.0003019147 194.45037 340.004 0.042930 860.088 272.953 0.00236040807 0.00556316543 0.0000896630 0.0000686268 6498282.766 6350351.483 6441902.393 304.61488 277.22953 159.96693 0.0003022898 196.79132 341.002 0.043056 859.213 272.817 0.00234582199 0.00560160873 0.0000893368 0.0000693106 6475111.899 6328002.079 6417783.173 307.54463 263.43432 159.09864 0.0003026474 199.01110 342.000 0.043182 858.356 272.686 0.00233110246 0.00563963420 0.0000889988 0.0000699886 6452480.921 6306202.548 6394221.296 310.48602 249.62292 158.25041 0.0003029874 201.11005 343.006 0.043309 857.511 272.558 0.00231613453 0.00567753676 0.0000886461 0.0000706660 6430214.859 6284784.231 6371034.792 313.46204 235.68775 157.41570 0.0003033121 203.10374 344.004 0.043435 856.690 272.435 0.00230115732 0.00571471775 0.0000882846 0.0000713317 6408662.555 6264082.237 6348587.165 316.42536 221.85045 156.60758 0.0003036163 204.96112 345.002 0.043561 855.889 272.317 0.00228605681 0.00575147559 0.0000879114 0.0000719911 6387644.755 6243923.580 6326691.989 319.39886 208.00350 155.81936 0.0003039026 206.69874 346.008 0.043688 855.099 272.203 0.00227071502 0.00578809531 0.0000875238 0.0000726491 6366999.206 6224152.573 6305180.392 322.40576 194.03901 155.04494 0.0003041729 208.32933 347.005 0.043814 854.335 272.094 0.00225537680 0.00582399863 0.0000871279 0.0000732950 6347049.224 6205078.413 6284389.440 325.39820 180.17896 154.29646 0.0003044229 209.82762 348.003 0.043940 853.589 271.989 0.00223992502 0.00585947408 0.0000867208 0.0000739340 6327628.339 6186541.158 6264145.872 328.39930 166.31547 153.56770 0.0003046547 211.20730 349.001 0.044066 852.861 271.889 0.00222436282 0.00589452020 0.0000863026 0.0000745657 6308734.764 6168538.704 6244447.983 331.40855 152.45053 152.85857 0.0003048683 212.46879 350.007 0.044193 852.147 271.792 0.00220856851 0.00592940857 0.0000858700 0.0000751950 6290223.043 6150932.450 6225144.227 334.44937 138.47607 152.16364 0.0003050650 213.62110 351.005 0.044319 851.458 271.701 0.00219279391 0.00596358839 0.0000854300 0.0000758118 6272382.925 6133997.590 6206536.886 337.47334 124.61412 151.49377 0.0003052417 214.64651 352.003 0.044445 850.787 271.614 0.00217691808 0.00599733474 0.0000849793 0.0000764208 6255064.819 6117591.358 6188470.107 340.50383 110.75655 150.84337 0.0003054000 215.55498 353.001 0.044571 850.135 271.531 0.00216094400 0.00603064631 0.0000845180 0.0000770218 6238267.000 6101711.756 6170942.206 343.54029 96.90523 150.21236 0.0003055399 216.34696 354.007 0.044698 849.497 271.453 0.00214474670 0.00606378100 0.0000840426 0.0000776194 6221860.632 6086237.051 6153818.805 346.60633 82.95219 149.59592 0.0003056620 217.02779 355.005 0.044824 848.883 271.379 0.00212858418 0.00609621574 0.0000835606 0.0000782040 6206102.392 6071408.999 6137367.898 349.65308 69.11899 149.00369 0.0003057646 217.58719 356.003 0.044950 848.288 271.310 0.00211233211 0.00612821191 0.0000830686 0.0000787801 6190859.389 6057101.779 6121450.886 352.70410 55.29755 148.43068 0.0003058486 218.03146 357.000 0.045076 847.713 271.245 0.00209599334 0.00615976829 0.0000825665 0.0000793475 6176129.999 6043313.540 6106066.157 355.75882 41.48965 147.87683 0.0003059140 218.36104 358.006 0.045203 847.152 271.184 0.00207943997 0.00619112885 0.0000820506 0.0000799105 6161801.837 6029939.206 6091096.353 358.84091 27.58764 147.33791 0.0003059610 218.57767 359.004 0.045329 846.614 271.129 0.00206293546 0.00622179850 0.0000815290 0.0000804600 6148098.977 6017187.614 6076775.648 361.90127 13.81220 146.82237 0.0003059890 218.67840 360.002 0.045455 846.096 271.078 0.00204635252 0.00625202471 0.0000809980 0.0000810003 6134905.046 6004949.676 6062982.540 364.96354 0.05553 146.32582 0.0003059983 218.66589 Engine speed (Hz) = 22.0000000000 Output power (W) = 4810.6374427719 Heat into heater (W) = 8029.1977893162 Heat to regenerator (W) = 1.2217688436 Heat removal from cooler (W) = 3219.1679382659 Approximate Pumping loss (W) = -783.5572017002 Thermal efficiency (%) = 59.9142974056 The average engine pressure (Pa) = 8447211.8421970084 The exp space work per cycle (J) = 364.9699216087 The comp space work per cycle (J) = -146.3045833009 The net work per cycle (J) = 218.6653383078 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -918.3886461170 The expansion work for Vmin-to-Vmax (J) = 1137.0539844248 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 846.657 271.123 0.00204769171 0.00624841478 0.0000809949 0.0000810034 6143229.219 6002255.087 6065278.227 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000121 846.161 271.077 0.00203110060 0.00627810993 0.0000804568 0.0000815321 6130613.172 5990668.981 6052030.276 3.04300 -13.68540 -0.47693 0.0003059889 -0.13099 2.003 0.000242 845.681 271.036 0.00201429720 0.00630760558 0.0000799050 0.0000820557 6118398.353 5979497.665 6039198.638 6.11211 -27.46306 -0.93887 0.0003059607 -0.37578 3.005 0.000363 845.219 270.999 0.00199742213 0.00633665114 0.0000793442 0.0000825695 6106690.597 5968838.211 6026894.491 9.18136 -41.21716 -1.38181 0.0003059137 -0.73325 4.007 0.000484 844.777 270.967 0.00198047804 0.00636524532 0.0000787744 0.0000830735 6095488.547 5958689.063 6015116.464 12.25012 -54.94601 -1.80582 0.0003058479 -1.20289 5.001 0.000604 844.357 270.939 0.00196360838 0.00639315610 0.0000782008 0.0000835633 6084877.233 5949126.308 6003954.086 15.29242 -68.53480 -2.20767 0.0003057641 -1.77893 6.003 0.000725 843.954 270.916 0.00194653457 0.00642084735 0.0000776139 0.0000840471 6074678.544 5939989.121 5993220.045 18.35834 -82.20836 -2.59409 0.0003056610 -2.47045 7.005 0.000846 843.569 270.897 0.00192939948 0.00644808326 0.0000770185 0.0000845206 6064981.770 5931357.891 5983008.297 21.42186 -95.85170 -2.96172 0.0003055391 -3.27260 8.006 0.000967 843.204 270.883 0.00191220566 0.00647486245 0.0000764150 0.0000849836 6055785.745 5923231.269 5973317.658 24.48236 -109.46316 -3.31058 0.0003053986 -4.18484 9.000 0.001087 842.862 270.873 0.00189509841 0.00650096788 0.0000758086 0.0000854323 6047159.177 5915668.903 5964220.661 27.51392 -122.92904 -3.63807 0.0003052409 -5.19776 10.002 0.001208 842.536 270.868 0.00187779508 0.00652683322 0.0000751894 0.0000858739 6038957.235 5908543.522 5955564.621 30.56643 -136.47216 -3.94969 0.0003050633 -6.32769 11.004 0.001329 842.229 270.867 0.00186044049 0.00655223755 0.0000745625 0.0000863047 6031252.859 5901919.037 5947426.472 33.61395 -149.97855 -4.24266 0.0003048672 -7.56612 12.006 0.001450 841.942 270.871 0.00184303710 0.00657717938 0.0000739282 0.0000867245 6024045.097 5895794.318 5939805.250 36.65581 -163.44658 -4.51703 0.0003046527 -8.91250 13.008 0.001571 841.675 270.880 0.00182558734 0.00660165716 0.0000732866 0.0000871331 6017333.049 5890168.289 5932700.051 39.69133 -176.87465 -4.77281 0.0003044197 -10.36628 14.001 0.001691 841.429 270.892 0.00180823840 0.00662547275 0.0000726434 0.0000875272 6011165.234 5885080.277 5926162.383 42.69485 -190.15070 -5.00817 0.0003041706 -11.91358 15.003 0.001812 841.200 270.910 0.00179070351 0.00664902148 0.0000719880 0.0000879133 6005438.077 5880444.527 5920082.507 45.71576 -203.49439 -5.22705 0.0003039013 -13.57963 16.005 0.001933 840.991 270.932 0.00177312946 0.00667210125 0.0000713259 0.0000882878 6000204.299 5876304.586 5914516.311 48.72830 -216.79333 -5.42743 0.0003036137 -15.35141 17.007 0.002054 840.801 270.959 0.00175551865 0.00669471035 0.0000706575 0.0000886506 5995463.242 5872659.604 5909463.137 51.73179 -230.04589 -5.60934 0.0003033081 -17.22835 18.000 0.002174 840.633 270.990 0.00173801940 0.00671666597 0.0000699883 0.0000889989 5991247.405 5869532.804 5904957.823 54.70085 -243.14155 -5.77153 0.0003029872 -19.19310 19.002 0.002295 840.482 271.025 0.00172034240 0.00673833222 0.0000693076 0.0000893383 5987485.992 5866871.340 5900924.758 57.68425 -256.29698 -5.91672 0.0003026459 -21.27782 20.004 0.002416 840.351 271.066 0.00170263571 0.00675952227 0.0000686210 0.0000896657 5984215.696 5864702.627 5897403.146 60.65652 -269.40123 -6.04350 0.0003022868 -23.46598 21.006 0.002537 840.240 271.111 0.00168490166 0.00678023417 0.0000679289 0.0000899811 5981436.107 5863026.039 5894392.598 63.61696 -282.45269 -6.15188 0.0003019099 -25.75702 22.008 0.002658 840.148 271.160 0.00166714259 0.00680046589 0.0000672313 0.0000902843 5979146.884 5861841.007 5891892.792 66.56484 -295.44973 -6.24188 0.0003015156 -28.15033 23.001 0.002778 840.077 271.214 0.00164950788 0.00682005411 0.0000665343 0.0000905729 5977360.610 5861150.738 5889917.828 69.47527 -308.28402 -6.31297 0.0003011072 -30.62430 24.003 0.002899 840.024 271.272 0.00163170593 0.00683932316 0.0000658266 0.0000908517 5976047.303 5860943.272 5888434.614 72.39605 -321.16784 -6.36637 0.0003006783 -33.21956 25.005 0.003020 839.991 271.335 0.00161388594 0.00685810559 0.0000651141 0.0000911180 5975223.732 5861225.980 5887461.608 75.30213 -333.99236 -6.40140 0.0003002321 -35.91532 26.007 0.003141 839.977 271.403 0.00159605023 0.00687639911 0.0000643971 0.0000913718 5974889.820 5861998.510 5886998.776 78.19279 -346.75592 -6.41806 0.0002997689 -38.71096 27.001 0.003261 839.983 271.475 0.00157834869 0.00689405623 0.0000636817 0.0000916111 5975042.266 5863248.125 5887043.674 81.04363 -359.35216 -6.41644 0.0002992928 -41.58155 28.003 0.003382 840.009 271.552 0.00156048861 0.00691136884 0.0000629562 0.0000918398 5975683.672 5864995.402 5887597.163 83.90142 -371.98936 -6.39652 0.0002987961 -44.57432 29.004 0.003503 840.054 271.633 0.00154261977 0.00692818523 0.0000622269 0.0000920558 5976814.924 5867231.753 5888661.162 86.74160 -384.56060 -6.35821 0.0002982828 -47.66512 30.006 0.003624 840.119 271.719 0.00152474452 0.00694450282 0.0000614939 0.0000922590 5978436.222 5869957.025 5890235.935 89.56345 -397.06419 -6.30152 0.0002977530 -50.85334 31.008 0.003745 840.204 271.810 0.00150686519 0.00696031892 0.0000607575 0.0000924494 5980547.840 5873171.118 5892321.819 92.36620 -409.49840 -6.22643 0.0002972069 -54.13834 32.002 0.003865 840.307 271.905 0.00148913190 0.00697550632 0.0000600240 0.0000926254 5983126.604 5876841.372 5894895.664 95.12621 -421.75963 -6.13377 0.0002966494 -57.49114 33.004 0.003986 840.430 272.004 0.00147125144 0.00699031532 0.0000592814 0.0000927900 5986215.907 5881028.947 5898000.855 97.88872 -434.05050 -6.02199 0.0002960714 -60.96698 34.006 0.004107 840.574 272.109 0.00145337395 0.00700461435 0.0000585360 0.0000929416 5989796.775 5885705.311 5901618.625 100.62991 -446.26679 -5.89175 0.0002954776 -64.53767 35.007 0.004228 840.736 272.218 0.00143550178 0.00701840039 0.0000577881 0.0000930801 5993869.772 5890870.540 5905749.619 103.34901 -458.40670 -5.74303 0.0002948682 -68.20255 36.001 0.004348 840.917 272.330 0.00141778494 0.00703156281 0.0000570441 0.0000932046 5998395.777 5896476.014 5910354.065 106.02308 -470.36908 -5.57727 0.0002942486 -71.92951 37.003 0.004469 841.119 272.448 0.00139993051 0.00704431781 0.0000562918 0.0000933170 6003450.929 5902615.311 5915509.500 108.69593 -482.35150 -5.39167 0.0002936087 -75.78000 38.005 0.004590 841.341 272.571 0.00138208858 0.00705655028 0.0000555376 0.0000934162 6009000.333 5909243.924 5921180.559 111.34441 -494.25211 -5.18752 0.0002929538 -79.72266 39.007 0.004711 841.582 272.698 0.00136426158 0.00706825685 0.0000547819 0.0000935022 6015044.851 5916362.075 5927368.204 113.96776 -506.06904 -4.96476 0.0002922841 -83.75681 40.000 0.004831 841.840 272.829 0.00134659905 0.00707934386 0.0000540310 0.0000935745 6021529.330 5923905.127 5934015.938 116.54384 -517.70381 -4.72544 0.0002916055 -87.84730 41.002 0.004952 842.120 272.965 0.00132880907 0.00708999253 0.0000532727 0.0000936342 6028562.853 5931999.071 5941235.671 119.11483 -529.34844 -4.46553 0.0002909069 -92.06159 42.004 0.005073 842.420 273.106 0.00131104137 0.00710010462 0.0000525135 0.0000936805 6036094.527 5940583.367 5948975.352 121.65837 -540.90368 -4.18690 0.0002901940 -96.36527 43.006 0.005194 842.739 273.252 0.00129329846 0.00710967636 0.0000517536 0.0000937137 6044125.525 5949658.328 5957236.271 124.17368 -552.36757 -3.88951 0.0002894672 -100.75762 44.008 0.005315 843.078 273.402 0.00127558284 0.00711870385 0.0000509932 0.0000937335 6052657.104 5959224.280 5966019.803 126.65998 -563.73812 -3.57330 0.0002887267 -105.23790 45.001 0.005435 843.433 273.555 0.00125804311 0.00712711530 0.0000502389 0.0000937400 6061613.883 5969196.423 5975248.336 129.09631 -574.92052 -3.24108 0.0002879789 -109.76727 46.003 0.005556 843.811 273.714 0.00124038947 0.00713504682 0.0000494783 0.0000937333 6071146.559 5979741.288 5985077.219 131.52249 -586.09912 -2.88724 0.0002872116 -114.42049 47.005 0.005677 844.208 273.878 0.00122277082 0.00714242183 0.0000487179 0.0000937134 6081184.079 5990778.128 5995433.361 133.91731 -597.17826 -2.51442 0.0002864313 -119.15940 48.007 0.005798 844.625 274.046 0.00120518977 0.00714923597 0.0000479580 0.0000936801 6091728.050 6002307.249 6006318.503 136.27996 -608.15581 -2.12255 0.0002856381 -123.98324 49.001 0.005918 845.058 274.218 0.00118779378 0.00715543547 0.0000472050 0.0000936340 6102686.749 6014227.555 6017637.960 138.59055 -618.94021 -1.71505 0.0002848390 -128.85033 50.003 0.006039 845.514 274.395 0.00117029556 0.00716111907 0.0000464468 0.0000935743 6114244.614 6026737.947 6029582.331 140.88679 -629.70901 -1.28505 0.0002840211 -133.84100 51.004 0.006160 845.989 274.577 0.00115284297 0.00716622799 0.0000456896 0.0000935013 6126314.344 6039741.293 6042061.556 143.14848 -640.36970 -0.83580 0.0002831910 -138.91422 52.006 0.006281 846.484 274.763 0.00113543876 0.00717075730 0.0000449339 0.0000934152 6138897.984 6053237.672 6055077.844 145.37482 -650.91999 -0.36721 0.0002823491 -144.06920 53.008 0.006402 846.998 274.954 0.00111808572 0.00717470188 0.0000441798 0.0000933158 6151997.720 6067227.035 6068633.562 147.56501 -661.35758 0.12079 0.0002814956 -149.30511 54.002 0.006522 847.528 275.147 0.00110092942 0.00717803107 0.0000434337 0.0000932042 6165501.227 6081587.452 6082612.529 149.70057 -671.59525 0.62403 0.0002806379 -154.57684 55.004 0.006643 848.081 275.347 0.00108368677 0.00718079475 0.0000426835 0.0000930786 6179636.107 6096557.781 6097250.513 151.81630 -681.80121 1.15100 0.0002797622 -159.97141 56.006 0.006764 848.654 275.551 0.00106650390 0.00718295667 0.0000419356 0.0000929400 6194294.808 6112019.497 6112436.416 153.89340 -691.88712 1.69769 0.0002788756 -165.44436 57.007 0.006885 849.247 275.760 0.00104938381 0.00718451019 0.0000411903 0.0000927882 6209480.567 6127971.026 6128173.942 155.93100 -701.85033 2.26425 0.0002779785 -170.99481 58.001 0.007005 849.853 275.971 0.00103247027 0.00718544227 0.0000404538 0.0000926249 6225065.219 6144271.552 6144330.909 157.91188 -711.60718 2.84590 0.0002770787 -176.57504 59.003 0.007126 850.485 276.188 0.00101548467 0.00718575695 0.0000397142 0.0000924473 6241314.012 6161185.115 6161184.906 159.86799 -721.31676 3.45264 0.0002761615 -182.27716 60.005 0.007247 851.136 276.410 0.00099857092 0.00718546436 0.0000389778 0.0000922568 6258099.365 6178632.252 6178580.216 161.78285 -730.89865 4.07396 0.0002752346 -188.05406 61.007 0.007368 851.806 276.640 0.00098172901 0.00718458980 0.0000382449 0.0000920535 6275396.831 6196673.146 6196491.247 163.65715 -740.35646 4.70426 0.0002742983 -193.90481 62.000 0.007488 852.488 276.875 0.00096509907 0.00718313963 0.0000375216 0.0000918392 6293047.271 6215148.467 6214769.916 165.47518 -749.61137 5.33858 0.0002733608 -199.77920 63.002 0.007609 853.194 277.118 0.00094840686 0.00718108353 0.0000367962 0.0000916104 6311343.750 6234365.681 6233724.119 167.26651 -758.81509 5.98780 0.0002724066 -205.77416 64.004 0.007730 853.918 277.369 0.00093179454 0.00717842551 0.0000360749 0.0000913690 6330142.546 6254173.561 6253206.082 169.01505 -767.88729 6.64699 0.0002714439 -211.84005 65.006 0.007851 854.659 277.627 0.00091526550 0.00717516022 0.0000353579 0.0000911151 6349445.487 6274572.821 6273217.796 170.72004 -776.82531 7.31644 0.0002704729 -217.97585 66.008 0.007972 855.418 277.891 0.00089882313 0.00717128250 0.0000346454 0.0000908486 6369254.410 6295564.450 6293761.035 172.38076 -785.62644 7.99649 0.0002694940 -224.18056 67.001 0.008092 856.188 278.160 0.00088260567 0.00716682697 0.0000339436 0.0000905721 6389401.049 6316968.797 6314661.066 173.98331 -794.21701 8.68171 0.0002685157 -230.40100 68.003 0.008213 856.983 278.438 0.00086634628 0.00716171438 0.0000332409 0.0000902810 6410222.788 6339143.903 6336267.752 175.55371 -802.73750 9.38387 0.0002675218 -236.73981 69.005 0.008334 857.795 278.722 0.00085018401 0.00715597434 0.0000325433 0.0000899776 6431555.362 6361915.255 6358410.597 177.07771 -811.11302 10.09767 0.0002665210 -243.14435 70.007 0.008455 858.624 279.014 0.00083412243 0.00714960189 0.0000318512 0.0000896621 6453400.223 6385284.324 6381090.996 178.55462 -819.34085 10.82348 0.0002655133 -249.61353 71.001 0.008575 859.464 279.309 0.00081829661 0.00714265264 0.0000311704 0.0000893373 6475571.876 6409052.086 6404116.184 179.97216 -827.35207 11.55555 0.0002645077 -256.09200 72.003 0.008696 860.328 279.614 0.00080244643 0.00713500586 0.0000304897 0.0000889979 6498441.186 6433616.209 6427871.189 181.35328 -835.27743 12.30648 0.0002634876 -262.68661 73.004 0.008817 861.209 279.925 0.00078670793 0.00712671189 0.0000298150 0.0000886466 6521826.820 6458782.672 6452167.594 182.68533 -843.04673 13.07065 0.0002624616 -269.34249 74.006 0.008938 862.108 280.243 0.00077108487 0.00711776577 0.0000291466 0.0000882836 6545730.048 6484553.049 6477006.579 183.96766 -850.65710 13.84850 0.0002614302 -276.05847 75.008 0.009059 863.024 280.567 0.00075558111 0.00710816257 0.0000284846 0.0000879090 6570152.104 6510928.903 6502389.268 185.19964 -858.10567 14.64048 0.0002603936 -282.83335 76.002 0.009179 863.948 280.895 0.00074032712 0.00709798490 0.0000278347 0.0000875261 6594885.920 6537686.292 6528100.219 186.37110 -865.32998 15.44033 0.0002593607 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215.48773 357.000 0.043116 848.273 271.286 0.00209744041 0.00615586219 0.0000825667 0.0000793473 6184467.558 6040408.188 6108552.193 354.55246 41.53784 149.22770 0.0003059140 215.80989 358.002 0.043237 847.715 271.227 0.00208095021 0.00618714274 0.0000820528 0.0000799081 6170213.230 6027176.112 6093599.408 357.61490 27.68321 148.68940 0.0003059609 216.02008 359.004 0.043358 847.177 271.172 0.00206437749 0.00621797826 0.0000815292 0.0000804598 6156471.813 6014462.593 6079179.977 360.67993 13.84525 148.17030 0.0003059890 216.11562 360.006 0.043479 846.658 271.121 0.00204772502 0.00624836747 0.0000809960 0.0000810023 6143241.784 6002265.884 6065292.378 363.74693 0.02571 147.67035 0.0003059983 216.09699 Engine speed (Hz) = 23.0000000000 Output power (W) = 4970.2162981196 Heat into heater (W) = 8366.1792809047 Heat to regenerator (W) = 0.5914298358 Heat removal from cooler (W) = 3396.4179754726 Approximate Pumping loss (W) = -887.2290460993 Thermal efficiency (%) = 59.4084364109 The average engine pressure (Pa) = 8448269.8455435988 The exp space work per cycle (J) = 363.7383787674 The comp space work per cycle (J) = -147.6420179796 The net work per cycle (J) = 216.0963607878 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -919.6640591953 The expansion work for Vmin-to-Vmax (J) = 1135.7604199831 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 847.244 271.168 0.00204926003 0.00624435668 0.0000809976 0.0000810007 6151984.359 5999561.026 6067795.355 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.005 0.000116 846.744 271.123 0.00203252047 0.00627435615 0.0000804548 0.0000815340 6139273.602 5987964.847 6054389.816 3.06178 -13.81336 -0.48260 0.0003059888 -0.13817 2.007 0.000232 846.264 271.083 0.00201570583 0.00630390711 0.0000799028 0.0000820577 6127070.041 5976881.564 6041513.632 6.12436 -27.60533 -0.94614 0.0003059605 -0.38962 3.001 0.000347 845.807 271.048 0.00199896466 0.00633275929 0.0000793466 0.0000825673 6115470.971 5966398.527 6029269.609 9.16073 -41.25560 -1.38693 0.0003059139 -0.75022 4.003 0.000463 845.365 271.016 0.00198200846 0.00636141317 0.0000787767 0.0000830715 6104273.336 5956331.881 6017443.467 12.22307 -54.99986 -1.81267 0.0003058482 -1.22573 5.005 0.000579 844.943 270.989 0.00196498513 0.00638961457 0.0000781981 0.0000835656 6093578.873 5946773.479 6006142.644 15.28434 -68.71764 -2.21950 0.0003057637 -1.81300 6.008 0.000695 844.540 270.967 0.00194789727 0.00641736212 0.0000776109 0.0000840495 6083386.332 5937721.868 5995365.880 18.34392 -82.40725 -2.60746 0.0003056604 -2.51151 7.001 0.000810 844.159 270.950 0.00193089557 0.00644442113 0.0000770205 0.0000845191 6073775.921 5929247.167 5985198.126 21.37480 -95.94940 -2.97350 0.0003055396 -3.31328 8.004 0.000926 843.795 270.936 0.00191368688 0.00647126078 0.0000764168 0.0000849823 6064579.359 5921200.652 5975461.397 24.42908 -109.57797 -3.32402 0.0003053991 -4.23174 9.006 0.001042 843.449 270.928 0.00189642132 0.00649764237 0.0000758051 0.0000854348 6055881.267 5913656.898 5966245.251 27.47972 -123.17340 -3.65580 0.0003052399 -5.25985 10.008 0.001158 843.124 270.924 0.00187910141 0.00652356444 0.0000751856 0.0000858766 6047680.598 5906614.666 5957548.628 30.52607 -136.73408 -3.96888 0.0003050622 -6.39709 11.002 0.001273 842.820 270.924 0.00186187961 0.00654880796 0.0000745639 0.0000863038 6040040.652 5900127.033 5949438.816 33.54127 -150.14191 -4.26084 0.0003048677 -7.63170 12.004 0.001389 842.533 270.929 0.00184445887 0.00657381041 0.0000739293 0.0000867238 6032827.629 5894080.047 5941773.835 36.57709 -163.62848 -4.53677 0.0003046531 -8.98462 13.006 0.001505 842.265 270.938 0.00182699119 0.00659834872 0.0000732875 0.0000871326 6026109.218 5888531.204 5934625.553 39.60664 -177.07541 -4.79411 0.0003044201 -10.44503 14.008 0.001621 842.017 270.952 0.00180947901 0.00662242126 0.0000726387 0.0000875300 6019884.594 5883479.485 5927993.144 42.62922 -190.48106 -5.03288 0.0003041688 -12.01237 15.002 0.001736 841.790 270.971 0.00179207627 0.00664582487 0.0000719887 0.0000879128 6014200.295 5878961.081 5921926.379 45.61820 -203.72882 -5.25128 0.0003039016 -13.67121 16.004 0.001852 841.581 270.994 0.00177448270 0.00666896485 0.0000713264 0.0000882875 6008956.764 5874896.511 5916319.053 48.62489 -217.04747 -5.45315 0.0003036139 -15.44984 17.006 0.001968 841.391 271.021 0.00175685187 0.00669163391 0.0000706577 0.0000886505 6004204.906 5871326.352 5911225.500 51.62257 -230.31999 -5.63651 0.0003033082 -17.33371 18.000 0.002083 841.222 271.053 0.00173933858 0.00671364090 0.0000699886 0.0000889988 5999978.773 5868274.222 5906682.444 54.58483 -243.43098 -5.80006 0.0003029874 -19.30468 19.002 0.002199 841.071 271.090 0.00172164064 0.00673536668 0.0000693076 0.0000893383 5996204.347 5865686.306 5902610.371 57.56250 -256.60684 -5.94666 0.0003026459 -21.39645 20.004 0.002315 840.940 271.131 0.00170391256 0.00675661590 0.0000686208 0.0000896658 5992920.038 5863590.587 5899050.560 60.52907 -269.73172 -6.07481 0.0003022866 -23.59174 21.007 0.002431 840.828 271.177 0.00168615670 0.00677738657 0.0000679284 0.0000899813 5990125.450 5861986.435 5896002.641 63.48384 -282.80399 -6.18454 0.0003019097 -25.88998 22.000 0.002546 840.736 271.227 0.00166852881 0.00679750377 0.0000672365 0.0000902821 5987838.040 5860880.773 5893485.994 66.40078 -295.71002 -6.27514 0.0003015186 -28.26944 23.003 0.002662 840.663 271.282 0.00165072466 0.00681731525 0.0000665336 0.0000905732 5986017.765 5860253.858 5891456.623 69.32991 -308.67263 -6.34819 0.0003011068 -30.77092 24.005 0.002778 840.610 271.342 0.00163289978 0.00683664180 0.0000658256 0.0000908521 5984686.430 5860116.950 5889938.459 72.24511 -321.57772 -6.40285 0.0003006776 -33.37357 25.007 0.002894 840.576 271.406 0.00161505652 0.00685548116 0.0000651128 0.0000911185 5983843.909 5860469.637 5888931.416 75.14564 -334.42362 -6.43910 0.0003002313 -36.07679 26.001 0.003009 840.562 271.474 0.00159735125 0.00687367492 0.0000644017 0.0000913702 5983491.103 5861302.207 5888437.573 78.00597 -347.09871 -6.45688 0.0002997719 -38.85537 27.003 0.003125 840.567 271.547 0.00157947837 0.00689153708 0.0000636801 0.0000916116 5983621.887 5862628.833 5888448.402 80.87512 -359.82175 -6.45649 0.0002992918 -41.75702 28.005 0.003241 840.592 271.625 0.00156159414 0.00690890485 0.0000629544 0.0000918404 5984241.515 5864444.120 5888970.537 83.72742 -372.48058 -6.43769 0.0002987948 -44.75741 29.007 0.003357 840.636 271.707 0.00154370090 0.00692577567 0.0000622248 0.0000920564 5985350.136 5866747.859 5890004.188 86.56214 -385.07348 -6.40048 0.0002982813 -47.85590 30.001 0.003472 840.700 271.793 0.00152595534 0.00694200790 0.0000614979 0.0000922580 5986932.106 5869513.729 5891534.132 89.35432 -397.49107 -6.34540 0.0002977559 -51.02390 31.003 0.003588 840.783 271.885 0.00150805118 0.00695788116 0.0000607612 0.0000924485 5989015.229 5872789.718 5893587.337 92.15179 -409.94758 -6.27149 0.0002972097 -54.31587 32.005 0.003704 840.886 271.981 0.00149014508 0.00697324932 0.0000600213 0.0000926260 5991588.220 5876553.805 5896153.147 94.92945 -422.33298 -6.17912 0.0002966473 -57.70405 33.008 0.003820 841.008 272.082 0.00147223941 0.00698810950 0.0000592784 0.0000927906 5994651.519 5880805.963 5899232.079 97.68653 -434.64551 -6.06828 0.0002960691 -61.18778 34.001 0.003935 841.149 272.186 0.00145449087 0.00700233723 0.0000585392 0.0000929410 5998172.897 5885503.255 5902791.562 100.39880 -446.77823 -5.94014 0.0002954802 -64.73516 35.004 0.004051 841.310 272.296 0.00143659317 0.00701617689 0.0000577910 0.0000930796 6002214.177 5890727.425 5906894.171 103.11266 -458.94034 -5.79244 0.0002948706 -68.40722 36.006 0.004167 841.491 272.410 0.00141870305 0.00702949942 0.0000570405 0.0000932051 6006747.515 5896439.822 5911511.924 105.80369 -471.02420 -5.62620 0.0002942457 -72.17286 37.008 0.004283 841.692 272.529 0.00140082294 0.00704230156 0.0000562880 0.0000933175 6011773.646 5902640.570 5916645.654 108.47110 -483.02798 -5.44139 0.0002936055 -76.03141 38.002 0.004398 841.910 272.652 0.00138310923 0.00705447640 0.0000555401 0.0000934159 6017243.686 5909270.074 5922245.355 111.09147 -494.84739 -5.23980 0.0002929560 -79.94772 39.004 0.004514 842.150 272.780 0.00136525630 0.00706623224 0.0000547841 0.0000935020 6023253.650 5916443.815 5928409.402 113.70958 -506.68612 -5.01789 0.0002922861 -83.98924 40.006 0.004630 842.409 272.912 0.00134742069 0.00707745743 0.0000540266 0.0000935749 6029759.068 5924106.464 5935092.411 116.30178 -518.43913 -4.77731 0.0002916015 -88.12160 41.008 0.004746 842.687 273.049 0.00132960489 0.00708814835 0.0000532681 0.0000936345 6036760.986 5932258.258 5942295.545 118.86729 -530.10449 -4.51799 0.0002909025 -92.34410 42.002 0.004861 842.983 273.190 0.00131196467 0.00709821604 0.0000525151 0.0000936805 6044193.751 5940822.864 5949951.230 121.38357 -541.58084 -4.24239 0.0002901956 -96.61847 43.004 0.004977 843.300 273.336 0.00129419576 0.00710783179 0.0000517549 0.0000937136 6052187.830 5949949.500 5958193.931 123.89360 -553.06581 -3.94565 0.0002894685 -101.01833 44.006 0.005093 843.638 273.487 0.00127645419 0.00711690177 0.0000509943 0.0000937335 6060682.028 5959566.075 5966960.748 126.37459 -564.45720 -3.63005 0.0002887277 -105.50617 45.000 0.005208 843.991 273.641 0.00125889508 0.00712535085 0.0000502400 0.0000937400 6069598.030 5969583.645 5976170.835 128.80477 -575.65601 -3.29848 0.0002879800 -110.04143 46.002 0.005324 844.367 273.801 0.00124121561 0.00713332181 0.0000494791 0.0000937333 6079092.352 5980176.699 5985985.958 131.22560 -586.85495 -2.94514 0.0002872124 -114.70225 47.004 0.005440 844.763 273.965 0.00122357123 0.00714073452 0.0000487184 0.0000937134 6089091.189 5991260.499 5996329.998 133.61503 -597.95411 -2.57275 0.0002864318 -119.44880 48.007 0.005556 845.178 274.134 0.00120596457 0.00714758455 0.0000479583 0.0000936801 6099596.196 6002835.281 6007204.755 135.97226 -608.95137 -2.18126 0.0002856384 -124.28032 49.000 0.005671 845.608 274.306 0.00118854956 0.00715381562 0.0000472053 0.0000936340 6110512.016 6014795.125 6018511.516 138.27661 -619.75110 -1.77422 0.0002848393 -129.15328 50.003 0.005787 846.062 274.484 0.00117102602 0.00715953143 0.0000464468 0.0000935743 6122030.341 6027348.171 6030448.929 140.56735 -630.53892 -1.34447 0.0002840211 -134.15165 51.005 0.005903 846.536 274.666 0.00115354827 0.00716467048 0.0000456894 0.0000935013 6134060.427 6040392.610 6042923.123 142.82349 -641.21823 -0.89540 0.0002831907 -139.23261 52.007 0.006019 847.029 274.853 0.00113611911 0.00716922774 0.0000449333 0.0000934151 6146604.389 6053928.408 6055936.389 145.04423 -651.78672 -0.42692 0.0002823484 -144.39535 53.001 0.006134 847.537 275.042 0.00111889092 0.00717316625 0.0000441855 0.0000933166 6159549.694 6067832.374 6069372.018 147.21007 -662.15240 0.05676 0.0002815020 -149.59349 54.003 0.006250 848.069 275.238 0.00110156691 0.00717654907 0.0000434329 0.0000932041 6173123.900 6082345.947 6083466.316 149.35787 -672.49316 0.56415 0.0002806370 -154.91660 55.005 0.006366 848.620 275.438 0.00108430000 0.00717933361 0.0000426824 0.0000930785 6187219.330 6097349.682 6098107.722 151.46780 -682.71590 1.09125 0.0002797609 -160.31897 56.007 0.006482 849.191 275.643 0.00106709317 0.00718151365 0.0000419343 0.0000929397 6201838.937 6112842.477 6113299.542 153.53902 -692.81804 1.63815 0.0002788740 -165.79973 57.001 0.006597 849.777 275.850 0.00105009694 0.00718307141 0.0000411951 0.0000927893 6216853.257 6128682.645 6128907.555 155.55331 -702.71138 2.20004 0.0002779844 -171.30976 58.003 0.006713 850.387 276.063 0.00103301884 0.00718402591 0.0000404522 0.0000926245 6232527.475 6145142.318 6145208.235 157.54481 -712.56507 2.78686 0.0002770768 -176.94399 59.005 0.006829 851.017 276.280 0.00101601027 0.00718434867 0.0000397124 0.0000924469 6248739.110 6162077.268 6162077.291 159.49473 -722.28887 3.39415 0.0002761592 -182.65393 60.008 0.006945 851.666 276.503 0.00099907396 0.00718406228 0.0000389757 0.0000922563 6265488.667 6179544.029 6179489.117 161.40333 -731.88448 4.01619 0.0002752320 -188.43867 61.001 0.007060 852.328 276.731 0.00098235483 0.00718320591 0.0000382488 0.0000920546 6282599.173 6197449.651 6197257.639 163.25554 -741.27503 4.64174 0.0002743034 -194.24644 62.004 0.007176 853.014 276.968 0.00096556371 0.00718175636 0.0000375192 0.0000918385 6300356.257 6216102.456 6215698.630 165.08287 -750.62174 5.28205 0.0002733577 -200.17730 63.006 0.007292 853.718 277.212 0.00094884917 0.00717971226 0.0000367936 0.0000916096 6318611.106 6235348.762 6234663.284 166.86830 -759.83988 5.93204 0.0002724032 -206.18008 64.008 0.007408 854.439 277.464 0.00093221446 0.00717706790 0.0000360720 0.0000913681 6337364.564 6255188.812 6254154.077 168.61106 -768.92678 6.59201 0.0002714401 -212.25379 65.002 0.007523 855.172 277.719 0.00091580528 0.00717384850 0.0000353609 0.0000911162 6356450.183 6275444.585 6273998.208 170.29595 -777.80315 7.25645 0.0002704772 -218.34415 66.004 0.007639 855.929 277.984 0.00089933969 0.00716999289 0.0000346482 0.0000908497 6376201.676 6296469.313 6294542.582 171.95153 -786.62066 7.93724 0.0002694979 -224.55606 67.006 0.007755 856.703 278.256 0.00088296422 0.00716552131 0.0000339403 0.0000905708 6396456.980 6318090.586 6315618.576 173.56225 -795.29884 8.62898 0.0002685111 -230.83582 68.008 0.007871 857.494 278.534 0.00086668240 0.00716042871 0.0000332373 0.0000902795 6417217.733 6340309.711 6337227.739 175.12739 -803.83495 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166.37510 156.33767 0.0003046550 206.12214 349.007 0.040394 853.974 271.953 0.00222718551 0.00588616007 0.0000863001 0.0000745694 6325161.410 6160953.460 6250046.236 329.11682 152.44568 155.62264 0.0003048695 207.37701 350.001 0.040509 853.272 271.860 0.00221159152 0.00592069553 0.0000858728 0.0000751910 6306940.489 6143759.175 6230896.744 332.10476 138.63566 154.93326 0.0003050638 208.50375 351.003 0.040625 852.583 271.770 0.00219575562 0.00595509930 0.0000854309 0.0000758105 6289083.647 6126946.487 6212124.956 335.12586 124.70682 154.25747 0.0003052414 209.52239 352.005 0.040741 851.912 271.685 0.00217981602 0.00598906778 0.0000849783 0.0000764221 6271749.852 6110665.157 6193898.088 338.15361 110.78120 153.60131 0.0003054004 210.42306 353.007 0.040857 851.261 271.605 0.00216377574 0.00602259956 0.0000845150 0.0000770257 6254937.386 6094913.155 6176214.487 341.18746 96.86073 152.96470 0.0003055407 211.20618 354.001 0.040972 850.634 271.529 0.00214777731 0.00605540987 0.0000840454 0.0000776160 6238782.790 6079817.489 6159217.979 344.20063 83.06721 152.35282 0.0003056614 211.86697 355.003 0.041088 850.020 271.457 0.00213154542 0.00608806799 0.0000835613 0.0000782031 6223003.456 6065113.682 6142611.356 347.24494 69.16262 151.75498 0.0003057645 212.41738 356.005 0.041204 849.425 271.390 0.00211522169 0.00612028539 0.0000830671 0.0000787817 6207740.453 6050933.355 6126543.141 350.29365 55.26877 151.17653 0.0003058488 212.85162 357.008 0.041320 848.849 271.327 0.00209880900 0.00615206076 0.0000825629 0.0000793515 6192992.168 6037274.628 6111011.750 353.34617 41.38750 150.61740 0.0003059144 213.17015 358.001 0.041435 848.297 271.270 0.00208245278 0.00618312459 0.0000820532 0.0000799077 6178877.547 6024246.718 6096142.616 356.37556 27.64009 150.08211 0.0003059609 213.37218 359.004 0.041551 847.760 271.216 0.00206587138 0.00621401583 0.0000815294 0.0000804596 6165149.584 6011621.274 6081675.627 359.43390 13.78923 149.56130 0.0003059890 213.46172 360.006 0.041667 847.241 271.167 0.00204920943 0.00624446115 0.0000809960 0.0000810023 6151931.715 5999512.073 6067740.883 362.49428 -0.04372 149.05965 0.0003059983 213.43700 Engine speed (Hz) = 24.0000000000 Output power (W) = 5122.4709446121 Heat into heater (W) = 8699.8626068484 Heat to regenerator (W) = -1.0493202525 Heat removal from cooler (W) = 3577.4315402805 Approximate Pumping loss (W) = -999.3035115462 Thermal efficiency (%) = 58.8799062250 The average engine pressure (Pa) = 8449412.3102641758 The exp space work per cycle (J) = 362.4527044929 The comp space work per cycle (J) = -149.0164151341 The net work per cycle (J) = 213.4362893588 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -920.9843994227 The expansion work for Vmin-to-Vmax (J) = 1134.4206887816 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 847.848 271.214 0.00205084380 0.00624022345 0.0000809991 0.0000809992 6161015.533 5996726.034 6070372.808 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.008 0.000112 847.347 271.170 0.00203400390 0.00627044268 0.0000804532 0.0000815355 6148248.797 5985157.728 6056846.549 3.07134 -13.90188 -0.48695 0.0003059888 -0.14535 2.007 0.000223 846.869 271.131 0.00201723867 0.00629994514 0.0000799030 0.0000820575 6136100.539 5974203.647 6043969.435 6.11612 -27.65880 -0.95052 0.0003059605 -0.40247 3.006 0.000334 846.411 271.097 0.00200040079 0.00632900130 0.0000793438 0.0000825699 6124453.144 5963756.621 6031616.969 9.16113 -41.39325 -1.39521 0.0003059136 -0.77166 4.005 0.000445 845.971 271.067 0.00198349290 0.00635760983 0.0000787757 0.0000830724 6113305.294 5953815.112 6019787.835 12.20577 -55.10355 -1.82106 0.0003058481 -1.25239 5.004 0.000556 845.551 271.041 0.00196651762 0.00638576935 0.0000781989 0.0000835649 6102655.717 5944377.634 6008480.763 15.24939 -68.78799 -2.22811 0.0003057638 -1.84418 6.003 0.000667 845.150 271.020 0.00194947755 0.00641347849 0.0000776136 0.0000840473 6092503.187 5935442.749 5997694.526 18.29138 -82.44492 -2.61642 0.0003056609 -2.54650 7.002 0.000778 844.768 271.003 0.00193237527 0.00644073584 0.0000770201 0.0000845194 6082846.528 5927009.073 5987427.944 21.33110 -96.07266 -2.98602 0.0003055395 -3.35883 8.001 0.000889 844.405 270.991 0.00191521331 0.00646753995 0.0000764183 0.0000849811 6073684.611 5919075.275 5977679.888 24.36791 -109.66955 -3.33695 0.0003053994 -4.28066 9.000 0.001000 844.061 270.984 0.00189799422 0.00649388939 0.0000758086 0.0000854323 6065016.359 5911640.076 5968449.277 27.40115 -123.23395 -3.66925 0.0003052409 -5.31144 10.008 0.001112 843.734 270.981 0.00188056463 0.00652001384 0.0000751856 0.0000858766 6056769.331 5904642.004 5959658.923 30.45746 -136.88596 -3.98570 0.0003050622 -6.46142 11.007 0.001223 843.429 270.982 0.00186323830 0.00654544527 0.0000745605 0.0000863061 6049089.816 5898204.844 5951464.817 33.48159 -150.38014 -4.28069 0.0003048666 -7.70951 12.006 0.001334 843.143 270.988 0.00184586232 0.00657041741 0.0000739279 0.0000867247 6041901.047 5892262.758 5943785.233 36.50019 -163.83691 -4.55715 0.0003046526 -9.06494 13.005 0.001445 842.876 270.998 0.00182843915 0.00659492866 0.0000732882 0.0000871321 6035202.164 5886814.685 5936619.315 39.51259 -177.25464 -4.81513 0.0003044204 -10.52718 14.004 0.001556 842.629 271.013 0.00181097121 0.00661897738 0.0000726415 0.0000875284 6028992.365 5881859.615 5929966.264 42.51813 -190.63172 -5.05464 0.0003041699 -12.09567 15.003 0.001667 842.401 271.033 0.00179346093 0.00664256187 0.0000719880 0.0000879133 6023270.906 5877396.596 5923825.343 45.51613 -203.96652 -5.27571 0.0003039013 -13.76987 16.002 0.001778 842.192 271.057 0.00177591073 0.00666568039 0.0000713279 0.0000882867 6018037.102 5873424.730 5918195.876 48.50591 -217.25742 -5.47837 0.0003036146 -15.54921 17.001 0.001889 842.002 271.085 0.00175832300 0.00668833114 0.0000706613 0.0000886486 6013290.327 5869943.172 5913077.253 51.48679 -230.50281 -5.66264 0.0003033099 -17.43312 18.000 0.002000 841.832 271.118 0.00174070012 0.00671051228 0.0000699886 0.0000889988 6009030.020 5866951.135 5908468.926 54.45808 -243.70105 -5.82854 0.0003029874 -19.42106 19.008 0.002112 841.680 271.156 0.00172288528 0.00673241535 0.0000693037 0.0000893402 6005223.882 5864427.549 5904335.807 57.44571 -256.96877 -5.97733 0.0003026439 -21.53174 20.007 0.002223 841.549 271.199 0.00170519898 0.00675364723 0.0000686190 0.0000896666 6001939.439 5862416.795 5900751.285 60.39563 -270.06739 -6.10637 0.0003022857 -23.72690 21.006 0.002334 841.437 271.245 0.00168748467 0.00677440360 0.0000679289 0.0000899811 5999140.147 5860893.512 5897675.816 63.33387 -283.11398 -6.21709 0.0003019099 -26.02435 22.005 0.002445 841.344 271.296 0.00166974471 0.00679468238 0.0000672333 0.0000902835 5996825.696 5859857.127 5895109.125 66.25971 -296.10688 -6.30949 0.0003015167 -28.42350 23.004 0.002556 841.271 271.352 0.00165198143 0.00681448141 0.0000665325 0.0000905736 5994995.844 5859307.118 5893051.007 69.17246 -309.04446 -6.38358 0.0003011062 -30.92375 24.003 0.002667 841.217 271.413 0.00163419720 0.00683379849 0.0000658268 0.0000908516 5993650.413 5859243.018 5891501.327 72.07139 -321.92507 -6.43937 0.0003006784 -33.52451 25.002 0.002778 841.183 271.477 0.00161639435 0.00685263133 0.0000651164 0.0000911172 5992789.294 5859664.408 5890460.022 74.95578 -334.74703 -6.47686 0.0003002336 -36.22519 26.001 0.002889 841.167 271.547 0.00159857524 0.00687097758 0.0000644015 0.0000913703 5992412.447 5860570.921 5889927.104 77.82493 -347.50869 -6.49605 0.0002997718 -39.02519 27.000 0.003000 841.172 271.621 0.00158074220 0.00688883480 0.0000636822 0.0000916110 5992519.897 5861962.238 5889902.656 80.67809 -360.20837 -6.49693 0.0002992932 -41.92388 28.008 0.003112 841.196 271.700 0.00156273677 0.00690635471 0.0000629523 0.0000918410 5993119.276 5863857.192 5890393.510 83.54003 -372.95790 -6.47925 0.0002987934 -44.94811 29.007 0.003223 841.239 271.783 0.00154488284 0.00692322184 0.0000622251 0.0000920564 5994200.048 5866221.719 5891391.138 86.35889 -385.52791 -6.44334 0.0002982814 -48.04324 30.006 0.003334 841.301 271.870 0.00152702206 0.00693959219 0.0000614942 0.0000922590 5995765.621 5869070.381 5892897.940 89.15956 -398.03081 -6.38910 0.0002977532 -51.23520 31.005 0.003445 841.383 271.963 0.00150915677 0.00695546302 0.0000607599 0.0000924488 5997816.305 5872403.046 5894914.303 91.94132 -410.46485 -6.31651 0.0002972087 -54.52338 32.004 0.003556 841.485 272.059 0.00149128935 0.00697083150 0.0000600224 0.0000926258 6000352.480 5876219.624 5897440.691 94.70340 -422.82829 -6.22556 0.0002966482 -57.90712 33.003 0.003667 841.605 272.160 0.00147342216 0.00698569473 0.0000592819 0.0000927899 6003374.603 5880520.069 5900477.645 97.44508 -435.11937 -6.11623 0.0002960718 -61.38580 34.002 0.003778 841.745 272.266 0.00145555757 0.00700004971 0.0000585387 0.0000929411 6006883.200 5885304.371 5904025.785 100.16559 -447.33630 -5.98849 0.0002954797 -64.95875 35.001 0.003889 841.905 272.376 0.00143769799 0.00701389337 0.0000577929 0.0000930793 6010878.875 5890572.559 5908085.809 102.86418 -459.47729 -5.84233 0.0002948722 -68.62533 36.000 0.004000 842.084 272.491 0.00141984581 0.00702722253 0.0000570449 0.0000932044 6015362.305 5896324.697 5912658.497 105.54010 -471.54052 -5.67772 0.0002942493 -72.38487 37.008 0.004112 842.284 272.612 0.00140184275 0.00704014700 0.0000562880 0.0000933175 6020381.260 5902619.261 5917792.868 108.21637 -483.63173 -5.49288 0.0002936055 -76.27183 38.007 0.004223 842.502 272.735 0.00138401275 0.00705243258 0.0000555360 0.0000934164 6025846.951 5909343.976 5923398.183 110.84443 -495.53315 -5.29109 0.0002929524 -80.21610 39.006 0.004334 842.739 272.864 0.00136619744 0.00706419356 0.0000547824 0.0000935022 6031802.898 5916553.013 5929518.994 113.44753 -507.35120 -5.07074 0.0002922846 -84.25130 40.005 0.004445 842.995 272.997 0.00134839930 0.00707542639 0.0000540275 0.0000935748 6038250.091 5924246.548 5936156.410 116.02488 -519.08399 -4.83179 0.0002916023 -88.37674 41.004 0.004556 843.271 273.134 0.00133062079 0.00708612741 0.0000532713 0.0000936342 6045189.596 5932424.773 5943311.621 118.57572 -530.72957 -4.57420 0.0002909056 -92.59172 42.003 0.004667 843.567 273.276 0.00131286441 0.00709629287 0.0000525143 0.0000936805 6052622.565 5941087.896 5950985.904 121.09927 -542.28600 -4.29793 0.0002901948 -96.89552 43.002 0.004778 843.881 273.423 0.00129513267 0.00710591891 0.0000517566 0.0000937136 6060550.231 5950236.135 5959180.623 123.59476 -553.75129 -4.00292 0.0002894701 -101.28743 44.001 0.004889 844.216 273.574 0.00127742811 0.00711500154 0.0000509984 0.0000937334 6068973.912 5959869.710 5967897.234 126.06140 -565.12343 -3.68912 0.0002887318 -105.76673 45.000 0.005000 844.569 273.729 0.00125975329 0.00712353669 0.0000502400 0.0000937400 6077895.015 5969988.840 5977137.280 128.49841 -576.40039 -3.35648 0.0002879800 -110.33269 46.008 0.005112 844.945 273.890 0.00124195199 0.00713158956 0.0000494747 0.0000937333 6087402.176 5980691.482 5986992.768 130.92654 -587.68035 -3.00168 0.0002872080 -115.02685 47.007 0.005223 845.338 274.055 0.00122434473 0.00713901198 0.0000487165 0.0000937133 6097327.225 5991786.705 5997289.460 133.30164 -598.75979 -2.63100 0.0002864298 -119.76462 48.006 0.005334 845.749 274.224 0.00120677505 0.00714587388 0.0000479588 0.0000936801 6107754.492 6003368.039 6008114.828 135.64474 -609.73770 -2.24129 0.0002856389 -124.58679 49.005 0.005445 846.180 274.397 0.00118924562 0.00715217068 0.0000472018 0.0000936338 6118685.770 6015435.596 6019470.825 137.95503 -620.61193 -1.83247 0.0002848355 -129.49256 50.004 0.005556 846.631 274.575 0.00117175912 0.00715789762 0.0000464457 0.0000935742 6130122.968 6027989.428 6031359.525 140.23173 -631.38026 -1.40448 0.0002840199 -134.48115 51.003 0.005667 847.101 274.757 0.00115431830 0.00716304979 0.0000456907 0.0000935015 6142068.117 6041029.503 6043783.135 142.47403 -642.04044 -0.95723 0.0002831922 -139.55177 52.002 0.005778 847.590 274.944 0.00113692590 0.00716762210 0.0000449371 0.0000934156 6154523.383 6054555.674 6056744.012 144.68112 -652.59016 -0.49064 0.0002823527 -144.70360 53.001 0.005889 848.099 275.135 0.00111958472 0.00717160926 0.0000441852 0.0000933165 6167491.088 6068567.640 6070244.687 146.85220 -663.02709 -0.00461 0.0002815017 -149.93583 54.000 0.006000 848.627 275.331 0.00110229762 0.00717500569 0.0000434351 0.0000932044 6180973.742 6083064.883 6084287.909 148.98643 -673.34879 0.50094 0.0002806395 -155.24762 55.008 0.006112 849.179 275.533 0.00108491252 0.00717782800 0.0000426803 0.0000930781 6195102.573 6098183.742 6099010.630 151.10172 -683.64418 1.03096 0.0002797584 -160.68704 56.007 0.006223 849.746 275.737 0.00106774284 0.00718001940 0.0000419346 0.0000929398 6209628.349 6113652.915 6114153.401 153.15943 -693.72680 1.57610 0.0002788743 -166.15609 57.006 0.006334 850.332 275.945 0.00105063610 0.00718160075 0.0000411914 0.0000927885 6224678.378 6129603.087 6129849.286 155.17775 -703.68639 2.14115 0.0002779798 -171.70212 58.005 0.006445 850.938 276.158 0.00103359545 0.00718256365 0.0000404509 0.0000926242 6240256.903 6146030.497 6146103.607 157.15576 -713.51997 2.72631 0.0002770751 -177.32422 59.004 0.006556 851.564 276.375 0.00101662421 0.00718289535 0.0000397134 0.0000924471 6256369.933 6162925.876 6162925.877 159.09236 -723.22382 3.33191 0.0002761605 -183.02151 60.003 0.006667 852.209 276.597 0.00099972516 0.00718261957 0.0000389791 0.0000922572 6273018.549 6180346.225 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6522387.329 6336103.962 6451745.207 301.31061 277.34523 164.22841 0.0003022890 189.16480 341.001 0.037889 860.867 272.888 0.00235008665 0.00558774707 0.0000893372 0.0000693099 6499342.860 6314056.148 6427485.569 304.21837 263.54441 163.35506 0.0003026470 191.36976 342.000 0.038000 860.016 272.760 0.00233538427 0.00562589456 0.0000889988 0.0000699886 6476833.822 6292556.935 6403782.982 307.13785 249.72531 162.50177 0.0003029874 193.45359 343.008 0.038112 859.176 272.636 0.00232041479 0.00566396341 0.0000886453 0.0000706674 6454662.892 6271417.797 6380429.939 310.09502 235.76549 161.66106 0.0003033128 195.43378 344.007 0.038223 858.361 272.516 0.00230544892 0.00570127193 0.0000882834 0.0000713339 6433224.191 6251013.975 6357841.919 313.03662 221.91642 160.84789 0.0003036173 197.27531 345.006 0.038334 857.565 272.402 0.00229035697 0.00573816008 0.0000879098 0.0000719940 6412315.589 6231152.053 6335806.358 315.98849 208.05570 160.05461 0.0003039038 198.99679 346.005 0.038445 856.787 272.292 0.00227514222 0.00577462612 0.0000875248 0.0000726474 6391935.307 6211829.833 6314321.680 318.95015 194.18546 159.28116 0.0003041722 200.59858 347.004 0.038556 856.028 272.186 0.00225980794 0.00581066838 0.0000871285 0.0000732941 6372081.575 6193045.137 6293386.291 321.92111 180.30779 158.52749 0.0003044226 202.08106 348.003 0.038667 855.287 272.084 0.00224435733 0.00584628522 0.0000867209 0.0000739337 6352752.624 6174795.805 6272998.584 324.90083 166.42476 157.79353 0.0003046546 203.44465 349.002 0.038778 854.564 271.987 0.00222879357 0.00588147508 0.0000863023 0.0000745662 6333946.699 6157079.705 6253156.945 327.88882 152.53838 157.07923 0.0003048684 204.68974 350.001 0.038889 853.861 271.895 0.00221311980 0.00591623643 0.0000858727 0.0000751912 6315662.054 6139894.731 6233859.754 330.88453 138.65067 156.38453 0.0003050639 205.81674 351.000 0.039000 853.175 271.807 0.00219733908 0.00595056778 0.0000854322 0.0000758087 6297896.962 6123238.805 6215105.391 333.88745 124.76358 155.70937 0.0003052409 206.82607 352.008 0.039112 852.503 271.722 0.00218131092 0.00598477112 0.0000849770 0.0000764238 6280496.680 6106966.964 6196730.614 336.92415 110.75400 155.04788 0.0003054008 207.72568 353.007 0.039223 851.855 271.643 0.00216532455 0.00601823424 0.0000845152 0.0000770255 6263770.222 6091367.750 6179061.925 339.93988 96.87402 154.41181 0.0003055407 208.49993 354.006 0.039334 851.226 271.568 0.00214924031 0.00605126310 0.0000840430 0.0000776190 6247558.233 6076291.531 6161931.229 342.96114 83.00043 153.79510 0.0003056620 209.15783 355.005 0.039445 850.615 271.498 0.00213306112 0.00608385631 0.0000835605 0.0000782042 6231859.071 6061736.368 6145336.945 345.98739 69.13510 153.19771 0.0003057647 209.69984 356.004 0.039556 850.024 271.432 0.00211678989 0.00611601253 0.0000830678 0.0000787809 6216671.122 6047700.358 6129277.509 349.01805 55.27987 152.61957 0.0003058487 210.12640 357.003 0.039667 849.451 271.370 0.00210042947 0.00614773042 0.0000825652 0.0000793489 6201992.803 6034181.644 6113751.378 352.05254 41.43656 152.06063 0.0003059141 210.43799 358.002 0.039778 848.898 271.314 0.00208398270 0.00617900866 0.0000820528 0.0000799081 6187822.562 6021178.407 6098757.033 355.09028 27.60697 151.52083 0.0003059609 210.63507 359.001 0.039889 848.363 271.261 0.00206745237 0.00620984592 0.0000815307 0.0000804582 6174158.881 6008688.872 6084292.983 358.13068 13.79288 151.00013 0.0003059889 210.71813 360.000 0.040000 847.847 271.213 0.00205084125 0.00624024088 0.0000809991 0.0000809992 6161000.281 5996711.311 6070357.768 361.17315 -0.00394 150.49846 0.0003059983 210.68764 Engine speed (Hz) = 25.0000000000 Output power (W) = 5267.1712694469 Heat into heater (W) = 9029.3286553398 Heat to regenerator (W) = -0.0986036616 Heat removal from cooler (W) = 3762.4614838026 Approximate Pumping loss (W) = -1120.0418287764 Thermal efficiency (%) = 58.3340298100 The average engine pressure (Pa) = 8450456.6146726459 The exp space work per cycle (J) = 361.1488447340 The comp space work per cycle (J) = -150.4619939561 The net work per cycle (J) = 210.6868507779 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -922.3518328224 The expansion work for Vmin-to-Vmax (J) = 1133.0386836003 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 848.467 271.261 0.00205229860 0.00623627667 0.0000809949 0.0000810034 6170209.850 5993649.528 6072892.151 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.000 0.000107 847.975 271.219 0.00203571936 0.00626606889 0.0000804576 0.0000815313 6157662.253 5982358.886 6059534.068 3.01488 -13.69252 -0.48089 0.0003059889 -0.14958 2.002 0.000214 847.497 271.181 0.00201890758 0.00629569776 0.0000799060 0.0000820547 6145496.921 5971469.615 6046576.221 6.05910 -27.49399 -0.94737 0.0003059607 -0.41319 3.003 0.000321 847.038 271.147 0.00200202201 0.00632487876 0.0000793454 0.0000825684 6133833.226 5961089.023 6034145.761 9.10362 -41.27343 -1.39487 0.0003059138 -0.78944 4.005 0.000428 846.598 271.118 0.00198506533 0.00635361050 0.0000787759 0.0000830722 6122669.854 5951215.563 6022241.388 12.14781 -55.02910 -1.82343 0.0003058481 -1.27783 5.006 0.000535 846.178 271.094 0.00196804020 0.00638189156 0.0000781977 0.0000835660 6112005.537 5941847.739 6010861.845 15.19104 -68.75929 -2.23309 0.0003057636 -1.87785 6.008 0.000642 845.776 271.074 0.00195094924 0.00640972052 0.0000776109 0.0000840495 6101839.055 5932984.104 6000005.918 18.23268 -82.46230 -2.62390 0.0003056604 -2.58897 7.009 0.000749 845.394 271.058 0.00193379506 0.00643709592 0.0000770157 0.0000845228 6092169.237 5924623.269 5989672.442 21.27208 -96.13644 -2.99591 0.0003055385 -3.41068 8.001 0.000855 845.034 271.047 0.00191674142 0.00646376680 0.0000764181 0.0000849813 6083078.410 5916835.026 5979949.592 24.28025 -109.65266 -3.34593 0.0003053994 -4.33322 9.003 0.000962 844.690 271.041 0.00189946908 0.00649023488 0.0000758069 0.0000854335 6074393.987 5909471.153 5970652.861 27.31328 -123.26432 -3.68061 0.0003052404 -5.37349 10.004 0.001069 844.365 271.039 0.00188214119 0.00651624489 0.0000751878 0.0000858750 6066203.027 5902606.231 5961875.397 30.34214 -136.84210 -3.99660 0.0003050629 -6.52274 11.006 0.001176 844.059 271.041 0.00186476028 0.00654179524 0.0000745611 0.0000863057 6058504.567 5896239.082 5953616.240 33.36616 -150.38434 -4.29393 0.0003048668 -7.78045 12.007 0.001283 843.773 271.048 0.00184732885 0.00656688433 0.0000739270 0.0000867253 6051297.698 5890368.583 5945874.490 36.38468 -163.88938 -4.57264 0.0003046523 -9.14606 13.009 0.001390 843.506 271.060 0.00182984939 0.00659151049 0.0000732857 0.0000871337 6044581.568 5884993.663 5938649.304 39.39702 -177.35556 -4.83274 0.0003044194 -10.61902 14.001 0.001496 843.260 271.076 0.00181248836 0.00661544837 0.0000726434 0.0000875272 6038411.306 5880156.632 5932000.219 42.37446 -190.65597 -5.07211 0.0003041706 -12.18353 15.003 0.001603 843.032 271.096 0.00179492064 0.00663914790 0.0000719882 0.0000879131 6032669.764 5875765.274 5925801.064 45.37249 -204.03990 -5.29528 0.0003039014 -13.86854 16.004 0.001710 842.822 271.122 0.00177731225 0.00666237929 0.0000713264 0.0000882875 6027416.762 5871866.624 5920116.315 48.36232 -217.38005 -5.49993 0.0003036139 -15.65924 17.006 0.001817 842.632 271.151 0.00175966562 0.00668514068 0.0000706582 0.0000886503 6022651.687 5868459.832 5914945.379 51.34324 -230.67476 -5.68608 0.0003033084 -17.55505 18.007 0.001924 842.462 271.186 0.00174198318 0.00670743018 0.0000699837 0.0000890013 6018373.987 5865544.100 5910287.725 54.31458 -243.92239 -5.85376 0.0003029850 -19.55540 19.009 0.002031 842.310 271.224 0.00172426734 0.00672924583 0.0000693032 0.0000893405 6014583.171 5863118.688 5906142.891 57.27562 -257.12127 -6.00297 0.0003026436 -21.65972 20.001 0.002137 842.179 271.267 0.00170668651 0.00675038839 0.0000686233 0.0000896647 6011307.446 5861198.732 5902542.059 60.19815 -270.14712 -6.13260 0.0003022879 -23.84632 21.002 0.002244 842.067 271.315 0.00168891134 0.00677125470 0.0000679313 0.0000899800 6008484.646 5859747.377 5899416.966 63.13660 -283.24405 -6.24511 0.0003019113 -26.15587 22.004 0.002351 841.973 271.367 0.00167110994 0.00679164095 0.0000672340 0.0000902831 6006147.652 5858784.439 5896803.720 66.06265 -296.28727 -6.33918 0.0003015172 -28.56763 23.005 0.002458 841.899 271.424 0.00165328471 0.00681154494 0.0000665315 0.0000905741 6004296.234 5858309.387 5894702.136 68.97558 -309.27511 -6.41484 0.0003011056 -31.08101 24.007 0.002565 841.844 271.486 0.00163543804 0.00683096438 0.0000658240 0.0000908527 6002930.231 5858321.742 5893112.102 71.87467 -322.20587 -6.47208 0.0003006767 -33.69542 25.008 0.002672 841.809 271.552 0.00161757229 0.00684989693 0.0000651118 0.0000911188 6002049.550 5858821.076 5892033.579 74.75918 -335.07789 -6.51091 0.0003002306 -36.41024 26.001 0.002778 841.793 271.622 0.00159985706 0.00686817009 0.0000644017 0.0000913702 6001655.615 5859795.541 5891469.531 77.60166 -347.76999 -6.53121 0.0002997719 -39.19810 27.002 0.002885 841.797 271.697 0.00158196045 0.00688612615 0.0000636806 0.0000916115 6001741.039 5861263.197 5891409.426 80.45501 -360.51997 -6.53338 0.0002992921 -42.11100 28.004 0.002992 841.819 271.776 0.00156405189 0.00690358787 0.0000629555 0.0000918401 6002311.920 5863216.840 5891861.161 83.29159 -373.20606 -6.51712 0.0002987955 -45.12247 29.005 0.003099 841.862 271.860 0.00154613378 0.00692055262 0.0000622264 0.0000920560 6003368.446 5865656.231 5892824.995 86.11069 -385.82655 -6.48242 0.0002982824 -48.23190 30.007 0.003206 841.923 271.949 0.00152820851 0.00693701765 0.0000614937 0.0000922591 6004910.876 5868581.178 5894301.270 88.91154 -398.37967 -6.42927 0.0002977528 -51.43864 31.008 0.003313 842.004 272.042 0.00151027846 0.00695298018 0.0000607575 0.0000924494 6006939.543 5871991.530 5896290.401 91.69340 -410.86367 -6.35766 0.0002972069 -54.74208 32.000 0.003419 842.104 272.139 0.00149251365 0.00696829518 0.0000600250 0.0000926252 6009429.090 5875848.526 5898767.118 94.42980 -423.16108 -6.26850 0.0002966502 -58.10934 33.002 0.003526 842.223 272.242 0.00147458126 0.00698324867 0.0000592827 0.0000927897 6012426.967 5880224.869 5901778.724 97.17162 -435.50216 -6.16008 0.0002960724 -61.60332 34.003 0.003633 842.362 272.348 0.00145665131 0.00699769075 0.0000585376 0.0000929413 6015912.518 5885086.410 5905304.907 99.89220 -447.76874 -6.03314 0.0002954789 -65.19205 35.005 0.003740 842.521 272.460 0.00143872622 0.00701161824 0.0000577900 0.0000930798 6019886.373 5890433.151 5909346.404 102.59077 -459.95899 -5.88765 0.0002948697 -68.87485 36.006 0.003847 842.699 272.576 0.00142080844 0.00702502790 0.0000570400 0.0000932052 6024349.242 5896265.128 5913904.034 105.26656 -472.07105 -5.72357 0.0002942452 -72.65108 37.008 0.003954 842.896 272.696 0.00140290041 0.00703791640 0.0000562880 0.0000933175 6029301.911 5902582.408 5918978.697 107.91882 -484.10305 -5.54088 0.0002936055 -76.52004 38.000 0.004060 843.111 272.820 0.00138517178 0.00705016717 0.0000555412 0.0000934158 6034692.100 5909319.260 5924516.709 110.52232 -495.94181 -5.34152 0.0002929569 -80.44361 39.002 0.004167 843.347 272.950 0.00136729051 0.00706200786 0.0000547857 0.0000935018 6040622.448 5916602.910 5930623.621 113.12541 -507.80879 -5.12167 0.0002922875 -84.49515 40.003 0.004274 843.602 273.084 0.00134942642 0.00707331680 0.0000540288 0.0000935747 6047045.426 5924372.207 5937250.766 115.70265 -519.58998 -4.88309 0.0002916035 -88.63736 41.005 0.004381 843.877 273.222 0.00133158202 0.00708409024 0.0000532708 0.0000936343 6053962.145 5932627.303 5944399.386 118.25324 -531.28341 -4.62574 0.0002909051 -92.86953 42.006 0.004488 844.171 273.365 0.00131375983 0.00709432433 0.0000525118 0.0000936806 6061373.799 5941368.361 5952070.810 120.77642 -542.88710 -4.34957 0.0002901925 -97.19096 43.008 0.004595 844.485 273.513 0.00129596241 0.00710401513 0.0000517522 0.0000937137 6069281.668 5950595.549 5960266.461 123.27139 -554.39901 -4.05452 0.0002894659 -101.60092 44.009 0.004702 844.818 273.665 0.00127819234 0.00711315855 0.0000509921 0.0000937335 6077687.123 5960309.034 5968987.853 125.73735 -565.81712 -3.74055 0.0002887256 -106.09868 45.001 0.004808 845.167 273.820 0.00126061786 0.00712167267 0.0000502389 0.0000937400 6086506.091 5970411.398 5978147.712 128.15090 -577.03397 -3.41080 0.0002879789 -110.64025 46.003 0.004915 845.539 273.981 0.00124290997 0.00712971386 0.0000494785 0.0000937333 6095906.511 5981093.393 5987920.562 130.55678 -588.25912 -3.05898 0.0002872119 -115.31057 47.004 0.005022 845.930 274.147 0.00122523728 0.00713719478 0.0000487184 0.0000937134 6105809.173 5992262.105 5998224.267 132.93128 -599.38415 -2.68804 0.0002864318 -120.06644 48.006 0.005129 846.341 274.317 0.00120760244 0.00714411085 0.0000479588 0.0000936801 6116215.834 6003917.614 6009060.748 135.27360 -610.40689 -2.29793 0.0002856389 -124.90709 49.008 0.005236 846.771 274.491 0.00119000816 0.00715045736 0.0000471999 0.0000936336 6127128.364 6016059.945 6020432.043 137.58294 -621.32512 -1.88856 0.0002848335 -129.83174 50.009 0.005343 847.220 274.670 0.00117245718 0.00715622942 0.0000464419 0.0000935739 6138548.747 6028689.054 6032340.315 139.85848 -632.13659 -1.45987 0.0002840157 -134.83960 51.001 0.005449 847.685 274.852 0.00115511564 0.00716137617 0.0000456921 0.0000935016 6150365.233 6041679.970 6044669.035 142.07864 -642.73950 -1.01603 0.0002831937 -139.88190 52.003 0.005556 848.173 275.039 0.00113765912 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274.252 0.00247723624 0.00522080543 0.0000918377 0.0000629634 6734312.568 6526525.000 6669911.038 277.38099 386.95743 173.47429 0.0002988010 164.45657 333.009 0.035578 868.881 274.086 0.00246387708 0.00526272266 0.0000916089 0.0000636885 6706925.677 6500060.617 6641039.336 280.17745 373.36369 172.43490 0.0002992974 167.64353 334.001 0.035684 867.898 273.925 0.00245047785 0.00530385795 0.0000913698 0.0000644028 6680336.732 6474404.329 6612998.675 282.96271 359.85893 171.42544 0.0002997727 170.67840 335.002 0.035791 866.923 273.766 0.00243678955 0.00534498460 0.0000911160 0.0000651196 6654042.475 6449069.835 6585258.997 285.78894 346.19094 170.42681 0.0003002356 173.61866 336.004 0.035898 865.965 273.613 0.00242294162 0.00538570994 0.0000908497 0.0000658318 6628294.681 6424299.572 6558086.414 288.62955 332.48949 169.44860 0.0003006814 176.43536 337.005 0.036005 865.025 273.464 0.00240893780 0.00542603138 0.0000905710 0.0000665392 6603091.687 6400091.269 6531479.775 291.48413 318.75708 168.49076 0.0003011101 179.12877 338.007 0.036112 864.103 273.319 0.00239478180 0.00546594641 0.0000902799 0.0000672416 6578431.799 6376442.646 6505437.857 294.35226 304.99618 167.55325 0.0003015215 181.69916 339.008 0.036219 863.199 273.178 0.00238047727 0.00550545265 0.0000899766 0.0000679389 6554313.301 6353351.413 6479959.381 297.23351 291.20921 166.63603 0.0003019155 184.14684 340.001 0.036325 862.321 273.044 0.00236616351 0.00554418436 0.0000896642 0.0000686243 6530952.325 6331023.337 6455273.273 300.10036 277.52772 165.74733 0.0003022885 186.45094 341.002 0.036432 861.452 272.912 0.00235157399 0.00558287014 0.0000893368 0.0000693106 6507906.357 6309034.863 6430912.383 303.00643 263.69589 164.87033 0.0003026474 188.65526 342.004 0.036539 860.602 272.785 0.00233684658 0.00562114059 0.0000889975 0.0000699911 6485396.536 6287596.942 6407110.793 305.92430 249.84498 164.01348 0.0003029886 190.73783 343.005 0.036646 859.770 272.663 0.00232198474 0.00565899370 0.0000886464 0.0000706655 6463421.085 6266707.298 6383867.036 308.85349 235.97724 163.17670 0.0003033119 192.69898 344.007 0.036753 858.956 272.544 0.00230699189 0.00569642753 0.0000882835 0.0000713337 6441978.222 6246363.669 6361179.609 311.79352 222.09491 162.35995 0.0003036172 194.53909 345.008 0.036860 858.160 272.431 0.00229187140 0.00573344022 0.0000879090 0.0000719954 6421066.163 6226563.810 6339046.983 314.74392 208.20015 161.56318 0.0003039044 196.25851 346.000 0.036966 857.390 272.322 0.00227676965 0.00576968998 0.0000875266 0.0000726444 6400871.178 6207482.974 6317666.726 317.67647 194.42512 160.79349 0.0003041710 197.84324 347.002 0.037073 856.631 272.217 0.00226140494 0.00580585906 0.0000871293 0.0000732927 6381010.464 6188758.956 6296633.879 320.64600 180.51202 160.03631 0.0003044220 199.32356 348.003 0.037180 855.890 272.117 0.00224592243 0.00584160181 0.0000867208 0.0000739340 6361675.238 6170572.105 6276151.141 323.62439 166.59282 159.29893 0.0003046547 200.68435 349.005 0.037287 855.168 272.021 0.00223032530 0.00587691663 0.0000863010 0.0000745680 6342863.739 6152920.263 6256216.917 326.61111 152.66959 158.58130 0.0003048690 201.92603 350.006 0.037394 854.464 271.929 0.00221461671 0.00591180192 0.0000858703 0.0000751946 6324574.220 6135801.298 6236829.610 329.60563 138.74435 157.88335 0.0003050649 203.04902 351.008 0.037501 853.779 271.842 0.00219879979 0.00594625616 0.0000854287 0.0000758136 6306804.949 6119213.113 6217987.619 332.60742 124.81910 157.20504 0.0003052422 204.05373 352.000 0.037607 853.119 271.760 0.00218302689 0.00597996189 0.0000849806 0.0000764190 6289713.042 6103301.286 6199857.848 335.58779 111.02589 156.55237 0.0003053996 204.93285 353.002 0.037714 852.471 271.682 0.00216700343 0.00601355361 0.0000845177 0.0000770223 6272974.329 6087763.579 6182096.649 338.60242 97.10643 155.91297 0.0003055400 205.70341 354.003 0.037821 851.842 271.608 0.00215088072 0.00604670988 0.0000840443 0.0000776173 6256750.809 6072750.575 6164876.016 341.62266 83.19274 155.29302 0.0003056616 206.35701 355.005 0.037928 851.232 271.539 0.00213466174 0.00607942929 0.0000835606 0.0000782040 6241040.839 6058260.317 6148194.383 344.64796 69.28672 154.69249 0.0003057646 206.89411 356.006 0.038035 850.640 271.474 0.00211834940 0.00611171044 0.0000830668 0.0000787821 6225842.807 6044290.888 6132050.204 347.67774 55.39025 154.11130 0.0003058489 207.31516 357.008 0.038142 850.068 271.414 0.00210194661 0.00614355193 0.0000825629 0.0000793515 6211155.130 6030840.412 6116441.951 350.71142 41.50516 153.54940 0.0003059144 207.62065 358.009 0.038249 849.514 271.358 0.00208545623 0.00617495240 0.0000820491 0.0000799121 6196976.258 6017907.059 6101368.120 353.74840 27.63328 153.00674 0.0003059612 207.81103 359.001 0.038355 848.984 271.307 0.00206903637 0.00620562321 0.0000815305 0.0000804584 6183430.104 6005602.716 6086960.671 356.75969 13.90585 152.48807 0.0003059889 207.88661 360.003 0.038462 848.469 271.260 0.00205238000 0.00623614168 0.0000809976 0.0000810007 6170259.614 5993693.499 6072946.328 359.80150 0.06562 151.98356 0.0003059983 207.84931 Engine speed (Hz) = 26.0000000000 Output power (W) = 5404.0589874650 Heat into heater (W) = 9354.8390557713 Heat to regenerator (W) = 1.7060581741 Heat removal from cooler (W) = 3951.5724484271 Approximate Pumping loss (W) = -1249.7317065908 Thermal efficiency (%) = 57.7675249702 The average engine pressure (Pa) = 8451499.8365574609 The exp space work per cycle (J) = 359.8080611486 The comp space work per cycle (J) = -151.9596385538 The net work per cycle (J) = 207.8484225948 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -923.7641663959 The expansion work for Vmin-to-Vmax (J) = 1131.6125889907 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 849.109 271.309 0.00205392987 0.00623196253 0.0000809947 0.0000810036 6179802.060 5990545.072 6075604.494 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.009 0.000104 848.614 271.268 0.00203719603 0.00626207233 0.0000804525 0.0000815363 6167163.615 5979254.038 6062081.639 3.03364 -13.82589 -0.48682 0.0003059887 -0.15828 2.001 0.000206 848.142 271.231 0.00202054854 0.00629145084 0.0000799064 0.0000820544 6155141.377 5968574.188 6049210.793 6.03878 -27.49809 -0.95017 0.0003059608 -0.42646 3.002 0.000309 847.684 271.199 0.00200366369 0.00632067272 0.0000793460 0.0000825679 6143498.285 5958294.534 6036738.283 9.07373 -41.28296 -1.39918 0.0003059139 -0.80931 4.003 0.000412 847.246 271.171 0.00198670701 0.00634944633 0.0000787767 0.0000830715 6132353.334 5948520.704 6024791.581 12.10840 -55.04462 -1.82926 0.0003058482 -1.30423 5.004 0.000515 846.826 271.148 0.00196968116 0.00637777022 0.0000781987 0.0000835651 6121705.270 5939251.203 6013369.456 15.14216 -68.78134 -2.24046 0.0003057638 -1.91072 6.006 0.000618 846.425 271.129 0.00195258879 0.00640564294 0.0000776122 0.0000840485 6111552.888 5930484.592 6002470.719 18.17440 -82.49141 -2.63282 0.0003056607 -2.62825 7.007 0.000721 846.044 271.114 0.00193543252 0.00643306298 0.0000770173 0.0000845216 6101895.030 5922219.480 5992094.230 21.20446 -96.17312 -3.00637 0.0003055389 -3.45630 8.008 0.000824 845.681 271.105 0.00191821495 0.00646002884 0.0000764142 0.0000849842 6092730.588 5914454.532 5982238.895 24.23170 -109.82478 -3.36116 0.0003053984 -4.39435 9.009 0.000927 845.338 271.099 0.00190093865 0.00648653895 0.0000758031 0.0000854363 6084058.508 5907188.464 5972903.673 27.25547 -123.44471 -3.69723 0.0003052394 -5.44186 10.000 0.001029 845.017 271.098 0.00188377472 0.00651234101 0.0000751903 0.0000858733 6075954.852 5900483.372 5964170.676 30.24583 -136.89947 -4.01162 0.0003050636 -6.58654 11.002 0.001132 844.712 271.102 0.00186638913 0.00653793935 0.0000745639 0.0000863038 6068259.783 5894206.616 5955867.741 33.26075 -150.45123 -4.31052 0.0003048677 -7.85030 12.003 0.001235 844.425 271.110 0.00184895240 0.00656307712 0.0000739300 0.0000867233 6061054.238 5888425.225 5948082.128 36.27022 -163.96624 -4.59081 0.0003046533 -9.22191 13.004 0.001338 844.159 271.123 0.00183146704 0.00658775262 0.0000732889 0.0000871317 6054337.381 5883138.131 5940813.015 39.27358 -177.44284 -4.85249 0.0003044206 -10.70080 14.005 0.001441 843.911 271.140 0.00181393554 0.00661196413 0.0000726408 0.0000875288 6048108.431 5878344.322 5934059.642 42.27016 -190.87935 -5.09561 0.0003041696 -12.28644 15.006 0.001544 843.682 271.162 0.00179636038 0.00663570986 0.0000719859 0.0000879145 6042366.669 5874042.836 5927821.310 45.25926 -204.27413 -5.32019 0.0003039004 -13.97825 16.007 0.001647 843.473 271.188 0.00177874402 0.00665898798 0.0000713243 0.0000882887 6037111.433 5870232.770 5922097.383 48.24022 -217.62549 -5.52626 0.0003036130 -15.77567 17.009 0.001750 843.283 271.219 0.00176108890 0.00668179659 0.0000706562 0.0000886513 6032342.125 5866913.272 5916887.288 51.21233 -230.93179 -5.71382 0.0003033075 -17.67814 18.000 0.001852 843.114 271.254 0.00174356940 0.00670391918 0.0000699886 0.0000889988 6028097.466 5864108.666 5912233.653 54.14619 -244.06284 -5.88135 0.0003029874 -19.66510 19.001 0.001955 842.962 271.293 0.00172584440 0.00672578753 0.0000693083 0.0000893379 6024293.757 5861763.221 5908044.794 57.09863 -257.27447 -6.03215 0.0003026463 -21.77493 20.002 0.002058 842.830 271.338 0.00170808793 0.00674718041 0.0000686223 0.0000896651 6020974.557 5859906.118 5904368.452 60.04014 -270.43604 -6.16450 0.0003022874 -23.98809 21.003 0.002161 842.716 271.387 0.00169030239 0.00676809570 0.0000679306 0.0000899803 6018139.520 5858536.717 5901204.326 62.97001 -283.54587 -6.27841 0.0003019109 -26.30398 22.005 0.002264 842.622 271.440 0.00167249020 0.00678853123 0.0000672335 0.0000902833 6015788.367 5857654.430 5898552.182 65.88753 -296.60228 -6.37388 0.0003015169 -28.72201 23.006 0.002367 842.548 271.498 0.00165465376 0.00680848474 0.0000665313 0.0000905742 6013920.884 5857258.720 5896411.861 68.79198 -309.60357 -6.45093 0.0003011054 -31.24159 24.007 0.002470 842.492 271.560 0.00163679547 0.00682795392 0.0000658240 0.0000908527 6012536.927 5857349.101 5894783.273 71.68265 -322.54806 -6.50956 0.0003006767 -33.86212 25.008 0.002573 842.456 271.627 0.00161891775 0.00684693639 0.0000651121 0.0000911187 6011636.418 5857925.135 5893666.405 74.55879 -335.43402 -6.54977 0.0003002308 -36.58299 26.009 0.002676 842.440 271.699 0.00160102297 0.00686542968 0.0000643955 0.0000913724 6011219.352 5858986.433 5893061.315 77.41970 -348.25975 -6.57155 0.0002997679 -39.40360 27.001 0.002778 842.442 271.774 0.00158328750 0.00688325885 0.0000636817 0.0000916111 6011282.820 5860515.310 5892966.583 80.23708 -360.89990 -6.57496 0.0002992928 -42.29450 28.002 0.002881 842.464 271.855 0.00156536595 0.00690077092 0.0000629568 0.0000918397 6011828.202 5862541.452 5893380.560 83.06546 -373.60059 -6.56006 0.0002987965 -45.31177 29.003 0.002984 842.505 271.940 0.00154743454 0.00691778601 0.0000622280 0.0000920555 6012857.427 5865051.969 5894306.949 85.87640 -386.23585 -6.52671 0.0002982835 -48.42691 30.004 0.003087 842.565 272.029 0.00152949567 0.00693430134 0.0000614955 0.0000922586 6014370.775 5868046.652 5895746.115 88.66914 -398.80389 -6.47490 0.0002977541 -51.63930 31.005 0.003190 842.645 272.124 0.00151155177 0.00695031406 0.0000607596 0.0000924489 6016368.598 5871525.334 5897698.505 91.44294 -411.30295 -6.40462 0.0002972085 -54.94830 32.007 0.003293 842.744 272.222 0.00149360525 0.00696582123 0.0000600205 0.0000926262 6018851.324 5875487.886 5900164.643 94.19704 -423.73122 -6.31583 0.0002966467 -58.35327 33.008 0.003396 842.862 272.325 0.00147565855 0.00698081982 0.0000592784 0.0000927906 6021819.454 5879934.216 5903145.135 96.93070 -436.08690 -6.20854 0.0002960691 -61.85355 34.009 0.003499 843.000 272.433 0.00145771408 0.00699530672 0.0000585336 0.0000929421 6025273.567 5884864.268 5906640.668 99.64315 -448.36814 -6.08270 0.0002954756 -65.44849 35.000 0.003601 843.155 272.544 0.00143994846 0.00700914556 0.0000577935 0.0000930792 6029173.719 5890223.134 5910610.584 102.30761 -460.45498 -5.93978 0.0002948726 -69.10116 36.001 0.003704 843.332 272.661 0.00142201576 0.00702260440 0.0000570438 0.0000932046 6033597.112 5896115.895 5915133.569 104.97558 -472.58256 -5.77695 0.0002942484 -72.88253 37.003 0.003807 843.527 272.782 0.00140409266 0.00703554168 0.0000562920 0.0000933169 6038508.686 5902492.397 5920174.145 107.62004 -484.63011 -5.59549 0.0002936090 -76.75655 38.004 0.003910 843.742 272.908 0.00138618163 0.00704795391 0.0000555384 0.0000934161 6043909.335 5909352.695 5925733.333 110.24023 -496.59573 -5.39536 0.0002929546 -80.72255 39.005 0.004013 843.976 273.039 0.00136828519 0.00705983747 0.0000547832 0.0000935021 6049800.034 5916696.870 5931812.239 112.83536 -508.47748 -5.17652 0.0002922853 -84.77983 40.006 0.004116 844.230 273.173 0.00135040585 0.00707118869 0.0000540266 0.0000935749 6056181.845 5924525.015 5938412.060 115.40467 -520.27339 -4.93893 0.0002916015 -88.92770 41.007 0.004219 844.503 273.313 0.00133254613 0.00708200375 0.0000532689 0.0000936344 6063055.910 5932837.236 5945534.080 117.94736 -531.98148 -4.68253 0.0002909033 -93.16544 42.008 0.004322 844.795 273.457 0.00131470859 0.00709227875 0.0000525102 0.0000936807 6070423.461 5941633.649 5953179.676 120.46265 -543.59975 -4.40729 0.0002901909 -97.49235 43.010 0.004425 845.107 273.605 0.00129689580 0.00710200966 0.0000517508 0.0000937138 6078285.818 5950914.366 5961350.314 122.94976 -555.12615 -4.11315 0.0002894646 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0.0002936132 127.51921 324.005 0.033334 879.119 275.750 0.00257867848 0.00486678143 0.0000932038 0.0000570487 6980603.559 6751404.757 6925266.663 254.54989 493.74364 184.09651 0.0002942525 131.82114 325.006 0.033437 877.978 275.549 0.00256683189 0.00491172125 0.0000930783 0.0000577984 6948876.090 6720457.066 6891810.001 257.20315 480.57842 182.89207 0.0002948767 135.99782 326.007 0.033540 876.854 275.352 0.00255478490 0.00495629603 0.0000929397 0.0000585457 6917706.868 6690094.099 6858924.987 259.87409 467.35135 181.70821 0.0002954854 140.04930 327.009 0.033643 875.746 275.159 0.00254254171 0.00500050161 0.0000927881 0.0000592905 6887094.750 6660313.901 6826611.582 262.56242 454.06544 180.54492 0.0002960786 143.97567 328.010 0.033746 874.655 274.972 0.00253010652 0.00504433398 0.0000926234 0.0000600326 6857038.518 6631114.452 6794869.601 265.26787 440.72364 179.40221 0.0002966560 147.77704 329.001 0.033848 873.591 274.790 0.00251760689 0.00508736925 0.0000924476 0.0000607645 6827820.645 6602768.778 6763998.616 267.96363 427.45912 178.29086 0.0002972121 151.41844 330.002 0.033951 872.533 274.611 0.00250480177 0.00513044765 0.0000922573 0.0000615003 6798866.889 6574718.979 6733392.875 270.70223 414.01462 177.18905 0.0002977576 154.97140 331.003 0.034054 871.493 274.436 0.00249181684 0.00517314193 0.0000920542 0.0000622328 6770464.975 6547243.599 6703357.251 273.45702 400.52272 176.10777 0.0002982869 158.39980 332.005 0.034157 870.470 274.266 0.00247865608 0.00521544878 0.0000918382 0.0000629615 6742613.436 6520340.439 6673891.077 276.22764 386.98616 175.04698 0.0002987998 161.70380 333.006 0.034260 869.463 274.100 0.00246532342 0.00525736503 0.0000916096 0.0000636864 6715310.754 6494007.272 6644993.583 279.01375 373.40764 174.00668 0.0002992960 164.88362 334.007 0.034363 868.474 273.939 0.00245182273 0.00529888765 0.0000913683 0.0000644072 6688555.366 6468241.843 6616663.906 281.81497 359.78979 172.98681 0.0002997755 167.93948 335.008 0.034466 867.503 273.782 0.00243815787 0.00534001374 0.0000911145 0.0000651237 6662345.670 6443041.878 6588901.095 284.63095 346.13521 171.98735 0.0003002382 170.87160 336.009 0.034569 866.549 273.630 0.00242433261 0.00538074055 0.0000908482 0.0000658356 6636680.025 6418405.085 6561704.117 287.46127 332.44645 171.00825 0.0003006838 173.68024 337.001 0.034671 865.622 273.484 0.00241048718 0.00542067585 0.0000905723 0.0000665359 6611798.077 6394560.218 6535327.718 290.27787 318.85936 170.05870 0.0003011082 176.34019 338.002 0.034774 864.703 273.340 0.00239635377 0.00546060020 0.0000902814 0.0000672381 6587210.261 6371037.440 6509253.548 293.13557 305.10998 169.12003 0.0003015195 178.90387 339.003 0.034877 863.802 273.201 0.00238207099 0.00550011770 0.0000899783 0.0000679352 6563161.428 6348070.928 6483741.703 296.00639 291.33378 168.20161 0.0003019134 181.34491 340.004 0.034980 862.919 273.067 0.00236764245 0.00553922602 0.0000896630 0.0000686268 6539649.839 6325658.368 6458790.888 298.88990 277.53314 167.30338 0.0003022898 183.66361 341.005 0.035083 862.053 272.936 0.00235307169 0.00557792294 0.0000893358 0.0000693128 6516673.742 6303797.451 6434399.762 301.78566 263.71040 166.42530 0.0003026486 185.86030 342.006 0.035186 861.206 272.811 0.00233836223 0.00561620635 0.0000889965 0.0000699930 6494231.370 6282485.874 6410566.935 304.69321 249.86785 165.56732 0.0003029895 187.93531 343.008 0.035289 860.377 272.689 0.00232351751 0.00565407417 0.0000886455 0.0000706672 6472320.953 6261721.345 6387290.981 307.61209 236.00775 164.72938 0.0003033126 189.88898 344.009 0.035392 859.566 272.572 0.00230854096 0.00569152446 0.0000882827 0.0000713351 6450940.711 6241501.587 6364570.439 310.54183 222.13233 163.91144 0.0003036178 191.72167 345.000 0.035494 858.781 272.461 0.00229358319 0.00572819781 0.0000879120 0.0000719902 6430288.778 6222012.778 6342616.372 313.45334 208.37867 163.12110 0.0003039022 193.41770 346.001 0.035597 858.006 272.353 0.00227835422 0.00576481150 0.0000875262 0.0000726451 6409958.453 6202870.564 6320996.805 316.40324 194.47924 162.34279 0.0003041713 195.01071 347.003 0.035700 857.249 272.249 0.00226300337 0.00580100217 0.0000871290 0.0000732932 6390152.997 6184266.421 6299928.129 319.36253 180.57092 161.58432 0.0003044222 196.48386 348.004 0.035803 856.511 272.150 0.00224753386 0.00583676811 0.0000867206 0.0000739342 6370870.647 6166198.155 6279408.796 322.33069 166.65581 160.84562 0.0003046548 197.83757 349.005 0.035906 855.791 272.055 0.00223194890 0.00587210767 0.0000863010 0.0000745680 6352109.652 6148663.601 6259437.250 325.30722 152.73597 160.12665 0.0003048690 199.07222 350.006 0.036009 855.090 271.965 0.00221625165 0.00590701923 0.0000858705 0.0000751944 6333868.276 6131660.622 6240011.928 328.29157 138.81343 159.42734 0.0003050648 200.18824 351.007 0.036112 854.407 271.879 0.00220044523 0.00594150121 0.0000854290 0.0000758131 6316144.798 6115187.113 6221131.264 331.28323 124.89018 158.74763 0.0003052421 201.18606 352.008 0.036215 853.743 271.798 0.00218453273 0.00597555209 0.0000849768 0.0000764241 6298937.516 6099241.004 6202793.697 334.28164 110.96820 158.08748 0.0003054008 202.06609 353.010 0.036318 853.098 271.721 0.00216851718 0.00600917035 0.0000845140 0.0000770270 6282244.752 6083820.259 6184997.668 337.28627 97.04944 157.44682 0.0003055410 202.82879 354.001 0.036420 852.477 271.649 0.00215255853 0.00604203444 0.0000840454 0.0000776160 6266219.476 6069065.006 6167906.576 340.26729 83.27087 156.83154 0.0003056614 203.46889 355.002 0.036523 851.868 271.581 0.00213634680 0.00607478731 0.0000835619 0.0000782025 6250545.851 6054683.985 6151183.779 343.28261 69.36420 156.22952 0.0003057644 203.99939 356.003 0.036626 851.279 271.517 0.00212004092 0.00610710321 0.0000830682 0.0000787805 6235381.876 6040822.476 6134997.940 346.30245 55.46643 155.64683 0.0003058487 204.41391 357.004 0.036729 850.708 271.458 0.00210364378 0.00613898072 0.0000825645 0.0000793497 6220725.981 6027478.603 6119347.562 349.32624 41.57941 155.08342 0.0003059142 204.71292 358.006 0.036832 850.156 271.403 0.00208715825 0.00617041844 0.0000820510 0.0000799101 6206576.630 6014650.536 6104231.170 352.35338 27.70496 154.53923 0.0003059610 204.89689 359.007 0.036935 849.623 271.353 0.00207058717 0.00620141495 0.0000815277 0.0000804614 6192932.321 6002336.489 6089647.318 355.38330 13.84492 154.01421 0.0003059890 204.96630 360.008 0.037038 849.108 271.307 0.00205393334 0.00623196885 0.0000809949 0.0000810034 6179791.591 5990534.722 6075594.588 358.41539 0.00107 153.50831 0.0003059983 204.92164 Engine speed (Hz) = 27.0000000000 Output power (W) = 5532.8575028022 Heat into heater (W) = 9677.2155136367 Heat to regenerator (W) = 0.0290068003 Heat removal from cooler (W) = 4144.7244021839 Approximate Pumping loss (W) = -1388.6797488221 Thermal efficiency (%) = 57.1740651534 The average engine pressure (Pa) = 8452741.8575073276 The exp space work per cycle (J) = 358.3912073763 The comp space work per cycle (J) = -153.4705591244 The net work per cycle (J) = 204.9206482519 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -925.2230417669 The expansion work for Vmin-to-Vmax (J) = 1130.1436900189 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 849.770 271.357 0.00205561130 0.00622750950 0.0000809945 0.0000810038 6189692.568 5987322.911 6078406.530 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.007 0.000100 849.278 271.318 0.00203892808 0.00625757291 0.0000804540 0.0000815348 6177116.839 5976169.746 6064879.397 3.01496 -13.79046 -0.48698 0.0003059888 -0.16462 2.004 0.000199 848.804 271.282 0.00202216730 0.00628719457 0.0000799044 0.0000820562 6165036.735 5965521.301 6051877.274 6.03093 -27.56188 -0.95505 0.0003059606 -0.44161 3.002 0.000298 848.349 271.251 0.00200533168 0.00631637303 0.0000793458 0.0000825680 6153450.939 5955375.999 6039398.887 9.04729 -41.31254 -1.40428 0.0003059138 -0.83048 4.000 0.000397 847.913 271.225 0.00198842389 0.00634510684 0.0000787784 0.0000830700 6142358.175 5945732.311 6027442.997 12.06344 -55.04068 -1.83469 0.0003058484 -1.33071 5.008 0.000497 847.491 271.202 0.00197127476 0.00637367796 0.0000781964 0.0000835670 6131652.639 5936498.948 6015895.565 15.10920 -68.88289 -2.25039 0.0003057634 -1.94855 6.006 0.000596 847.093 271.185 0.00195422992 0.00640151348 0.0000776117 0.0000840488 6121547.250 5927859.139 6004986.377 18.12303 -82.56060 -2.64313 0.0003056606 -2.67110 7.004 0.000695 846.713 271.172 0.00193712085 0.00642889984 0.0000770188 0.0000845204 6111931.337 5919716.653 5994596.222 21.13475 -96.21064 -3.01717 0.0003055392 -3.50348 8.002 0.000794 846.353 271.163 0.00191995013 0.00645583550 0.0000764177 0.0000849816 6102803.814 5912070.169 5984724.041 24.14373 -109.83133 -3.37257 0.0003053993 -4.44517 9.000 0.000893 846.011 271.159 0.00190272033 0.00648231890 0.0000758086 0.0000854323 6094163.649 5904918.417 5975368.826 27.14933 -123.42098 -3.70936 0.0003052409 -5.49562 10.008 0.000993 845.685 271.159 0.00188525910 0.00650860903 0.0000751856 0.0000858766 6085929.977 5898195.439 5966442.965 30.18119 -137.11467 -4.03069 0.0003050622 -6.66657 11.006 0.001092 845.381 271.164 0.00186791823 0.00653417843 0.0000745611 0.0000863057 6078266.536 5892034.522 5958124.065 33.17802 -150.63685 -4.33017 0.0003048668 -7.93405 12.004 0.001191 845.096 271.173 0.00185052590 0.00655929063 0.0000739293 0.0000867238 6071087.663 5886364.835 5950319.416 36.16949 -164.12294 -4.61114 0.0003046531 -9.30869 13.002 0.001290 844.830 271.187 0.00183308461 0.00658394391 0.0000732903 0.0000871308 6064392.541 5881185.321 5943028.230 39.15495 -177.57129 -4.87362 0.0003044211 -10.78994 14.010 0.001390 844.581 271.205 0.00181541996 0.00660837852 0.0000726378 0.0000875306 6058120.124 5876450.093 5936183.918 42.16377 -191.11546 -5.12001 0.0003041684 -12.39382 15.008 0.001489 844.354 271.228 0.00179788775 0.00663210394 0.0000719849 0.0000879150 6052395.154 5872252.895 5929922.693 45.13510 -204.48289 -5.34542 0.0003039000 -14.08770 16.006 0.001588 844.145 271.255 0.00178031400 0.00665536500 0.0000713255 0.0000882880 6047151.827 5868543.010 5924172.915 48.09839 -217.80757 -5.55241 0.0003036135 -15.88652 17.004 0.001687 843.955 271.287 0.00176270118 0.00667815979 0.0000706596 0.0000886495 6042389.564 5865319.593 5918934.040 51.05294 -231.08782 -5.74101 0.0003033091 -17.78971 18.001 0.001786 843.785 271.323 0.00174505171 0.00670048635 0.0000699876 0.0000889993 6038107.846 5862581.851 5914205.590 53.99808 -244.32198 -5.91123 0.0003029869 -19.79672 19.009 0.001886 843.632 271.365 0.00172718924 0.00672256101 0.0000693027 0.0000893407 6034270.263 5860308.760 5909947.141 56.96270 -257.64133 -6.06454 0.0003026434 -21.92880 20.007 0.001985 843.499 271.410 0.00170947345 0.00674394019 0.0000686188 0.0000896668 6030953.173 5858545.087 5906243.514 59.88681 -270.77780 -6.19787 0.0003022856 -24.14273 21.005 0.002084 843.386 271.460 0.00169172830 0.00676484489 0.0000679294 0.0000899809 6028115.447 5857265.014 5903049.273 62.79939 -283.86313 -6.31286 0.0003019102 -26.45873 22.003 0.002183 843.292 271.514 0.00167395620 0.00678527288 0.0000672345 0.0000902829 6025756.825 5856467.954 5900364.213 65.69976 -296.89565 -6.40952 0.0003015175 -28.87622 23.001 0.002282 843.217 271.573 0.00165615955 0.00680522191 0.0000665346 0.0000905728 6023877.109 5856153.368 5898188.199 68.58719 -309.87366 -6.48786 0.0003011074 -31.39461 24.009 0.002382 843.161 271.637 0.00163816066 0.00682488381 0.0000658225 0.0000908532 6022464.464 5856324.913 5896506.924 71.48992 -322.92570 -6.54839 0.0003006757 -34.04025 25.007 0.002481 843.124 271.705 0.00162032193 0.00684386291 0.0000651128 0.0000911185 6021547.082 5856978.713 5895354.025 74.34918 -335.78900 -6.58989 0.0003002313 -36.75964 26.005 0.002580 843.106 271.777 0.00160246587 0.00686235580 0.0000643986 0.0000913713 6021108.429 5858113.652 5894710.204 77.19334 -348.59264 -6.61307 0.0002997699 -39.57811 27.003 0.002679 843.108 271.854 0.00158459489 0.00688035990 0.0000636801 0.0000916116 6021148.584 5859729.380 5894575.621 80.02167 -361.33490 -6.61791 0.0002992918 -42.49506 28.001 0.002778 843.128 271.935 0.00156671138 0.00689787260 0.0000629576 0.0000918394 6021667.700 5861825.588 5894950.512 82.83344 -374.01404 -6.60442 0.0002987970 -45.50988 29.009 0.002878 843.169 272.022 0.00154863695 0.00691506054 0.0000622238 0.0000920567 6022678.528 5864430.486 5895846.729 85.65606 -386.75538 -6.57215 0.0002982805 -48.65386 30.007 0.002977 843.228 272.112 0.00153073553 0.00693157716 0.0000614937 0.0000922591 6024161.151 5867491.748 5897246.741 88.43231 -399.30230 -6.52175 0.0002977528 -51.86349 31.005 0.003076 843.306 272.207 0.00151282883 0.00694759395 0.0000607602 0.0000924487 6026123.626 5871032.813 5899157.408 91.18978 -411.78077 -6.45297 0.0002972089 -55.16910 32.003 0.003175 843.403 272.306 0.00149491927 0.00696310795 0.0000600234 0.0000926255 6028566.398 5875053.532 5901579.280 93.92772 -424.18900 -6.36578 0.0002966490 -58.57005 33.000 0.003274 843.520 272.410 0.00147700927 0.00697811610 0.0000592838 0.0000927895 6031489.988 5879553.792 5904512.988 96.64538 -436.52515 -6.26017 0.0002960733 -62.06568 34.008 0.003374 843.657 272.519 0.00145892040 0.00699275913 0.0000585338 0.0000929420 6034931.845 5884586.257 5907996.673 99.36912 -448.91088 -6.13475 0.0002954759 -65.69210 35.006 0.003473 843.812 272.632 0.00144101690 0.00700674090 0.0000577889 0.0000930800 6038823.813 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7047410.912 7255907.680 230.51207 608.44204 197.46987 0.0002879866 85.95419 316.007 0.031350 889.336 277.519 0.00266656658 0.00448988097 0.0000937333 0.0000510042 7261167.919 7011375.922 7217452.972 232.98025 596.03977 196.08550 0.0002887375 91.23219 317.004 0.031449 888.077 277.282 0.00265654497 0.00453738692 0.0000937134 0.0000517616 7225173.512 6975936.175 7179556.979 235.46763 583.54608 194.72124 0.0002894749 96.38617 318.002 0.031548 886.834 277.050 0.00264628853 0.00458457339 0.0000936803 0.0000525185 7189738.028 6941090.501 7142221.377 237.97407 570.96445 193.37716 0.0002901988 101.41598 319.000 0.031647 885.605 276.823 0.00263580177 0.00463143444 0.0000936340 0.0000532747 7154861.089 6906837.601 7105447.618 240.49943 558.29829 192.05331 0.0002909087 106.32150 320.008 0.031747 884.380 276.599 0.00262497982 0.00467843267 0.0000935739 0.0000540376 7120198.384 6872839.060 7068874.054 243.06937 545.42180 190.73666 0.0002916115 111.15030 321.006 0.031846 883.183 276.381 0.00261404358 0.00472462261 0.0000935012 0.0000547917 7086442.547 6839773.310 7033233.200 245.63230 532.59584 189.45359 0.0002922929 115.80574 322.004 0.031945 882.002 276.167 0.00260289035 0.00477047070 0.0000934154 0.0000555445 7053243.413 6807295.759 6998157.314 248.21364 519.69528 188.19086 0.0002929599 120.33670 323.002 0.032044 880.836 275.959 0.00259152448 0.00481597196 0.0000933164 0.0000562956 7020600.157 6775404.693 6963647.054 250.81319 506.72332 186.94849 0.0002936121 124.74317 324.000 0.032143 879.687 275.754 0.00257995025 0.00486112161 0.0000932044 0.0000570449 6988511.863 6744098.312 6929702.903 253.43073 493.68307 185.72650 0.0002942494 129.02515 325.008 0.032243 878.542 275.553 0.00256805192 0.00490636572 0.0000930781 0.0000577997 6956661.816 6713067.369 6895990.917 256.09273 480.44491 184.51287 0.0002948778 133.22404 326.006 0.032342 877.425 275.358 0.00255607171 0.00495079499 0.0000929399 0.0000585446 6925685.918 6682930.521 6863185.498 258.74571 467.27664 183.33187 0.0002954846 137.25594 327.004 0.032441 876.325 275.167 0.00254389580 0.00499485952 0.0000927888 0.0000592870 6895261.705 6653372.513 6830946.673 261.41592 454.04918 182.17127 0.0002960758 141.16352 328.002 0.032540 875.241 274.981 0.00253152832 0.00503855531 0.0000926248 0.0000600267 6865387.935 6624391.281 6799274.314 264.10310 440.76543 181.03107 0.0002966515 144.94691 329.010 0.032640 874.163 274.797 0.00251884558 0.00508231425 0.0000924461 0.0000607708 6835769.892 6595700.703 6767856.840 266.83434 427.29326 179.90004 0.0002972169 148.64254 330.008 0.032739 873.113 274.620 0.00250610527 0.00512525749 0.0000922563 0.0000615043 6806998.556 6567872.416 6737322.212 269.55472 413.90496 178.80079 0.0002977605 152.17666 331.006 0.032838 872.079 274.448 0.00249318549 0.00516782104 0.0000920537 0.0000622343 6778773.551 6540614.422 6707352.894 272.29114 400.46882 177.72190 0.0002982880 155.58701 332.004 0.032937 871.063 274.279 0.00248009016 0.00521000157 0.0000918385 0.0000629608 6751093.401 6513924.494 6677948.272 275.04326 386.98756 176.66333 0.0002987992 158.87377 333.001 0.033036 870.063 274.115 0.00246682317 0.00525179591 0.0000916106 0.0000636833 6723956.585 6487800.379 6649107.634 277.81075 373.46383 175.62507 0.0002992939 162.03713 334.009 0.033136 869.071 273.954 0.00245325180 0.00529361727 0.0000913677 0.0000644090 6697095.658 6461984.481 6620547.410 280.62143 359.76304 174.59690 0.0002997767 165.10740 335.007 0.033235 868.106 273.799 0.00243965129 0.00533462629 0.0000911147 0.0000651232 6671046.226 6436990.803 6592837.903 283.41872 346.16181 173.59936 0.0003002379 168.02341 336.005 0.033334 867.158 273.649 0.00242589051 0.00537524038 0.0000908493 0.0000658328 6645535.309 6412556.039 6565689.690 286.23025 332.52585 172.62202 0.0003006821 170.81671 337.003 0.033433 866.228 273.503 0.00241197315 0.00541545689 0.0000905716 0.0000665377 6620561.246 6388677.873 6539101.720 289.05565 318.85764 171.66486 0.0003011092 173.48759 338.001 0.033532 865.316 273.361 0.00239790286 0.00545527328 0.0000902816 0.0000672376 6596122.346 6365353.984 6513072.873 291.89451 305.15961 170.72782 0.0003015192 176.03631 339.009 0.033632 864.412 273.222 0.00238353885 0.00549508317 0.0000899764 0.0000679394 6571978.147 6342354.838 6487347.529 294.77527 291.29540 169.80170 0.0003019158 178.48705 340.007 0.033731 863.534 273.089 0.00236917201 0.00553408803 0.0000896621 0.0000686288 6548609.792 6320138.081 6462438.946 297.63991 277.54465 168.90500 0.0003022909 180.79112 341.005 0.033830 862.675 272.961 0.00235466293 0.00557268574 0.0000893359 0.0000693126 6525771.409 6298468.626 6438085.766 300.51672 263.77118 168.02828 0.0003026484 182.97395 342.003 0.033929 861.833 272.837 0.00234001510 0.00561087416 0.0000889978 0.0000699906 6503461.246 6277344.168 6414286.657 303.40527 249.97728 167.17151 0.0003029883 185.03586 343.001 0.034028 861.009 272.717 0.00232523192 0.00564865123 0.0000886479 0.0000706626 6481677.550 6256762.418 6391040.245 306.30508 236.16517 166.33464 0.0003033105 186.97721 344.009 0.034128 860.195 272.601 0.00231016547 0.00568639024 0.0000882827 0.0000713351 6460206.493 6236521.413 6368118.688 309.24516 222.19733 165.50947 0.0003036178 188.81611 345.007 0.034227 859.407 272.490 0.00229512043 0.00572333450 0.0000879095 0.0000719944 6439475.724 6217023.698 6345978.968 312.16622 208.35529 164.71244 0.0003039040 190.51618 346.005 0.034326 858.638 272.384 0.00227995011 0.00575986163 0.0000875249 0.0000726472 6419266.129 6198061.904 6324387.627 315.09713 194.50159 163.93515 0.0003041721 192.09676 347.003 0.034425 857.886 272.282 0.00226465773 0.00579596984 0.0000871290 0.0000732932 6399575.958 6179633.820 6303343.185 318.03738 180.63834 163.17755 0.0003044222 193.55825 348.000 0.034524 857.153 272.184 0.00224924654 0.00583165740 0.0000867219 0.0000739321 6380403.473 6161737.261 6282844.144 320.98649 166.76761 162.43958 0.0003046541 194.90104 349.008 0.034624 856.430 272.090 0.00223356227 0.00586727669 0.0000862995 0.0000745703 6361561.119 6144197.339 6262690.202 323.97385 152.75128 161.71404 0.0003048698 196.13729 350.006 0.034723 855.734 272.001 0.00221792177 0.00590211366 0.0000858703 0.0000751946 6343424.018 6127362.709 6243282.910 326.93919 138.87169 161.01538 0.0003050649 197.24270 351.004 0.034822 855.055 271.917 0.00220217189 0.00593652504 0.0000854303 0.0000758113 6325799.445 6111053.211 6224416.469 329.91182 124.99070 160.33619 0.0003052416 198.23064 352.002 0.034921 854.395 271.837 0.00218631566 0.00597050929 0.0000849796 0.0000764203 6308685.724 6095266.787 6206089.364 332.89121 111.11027 159.67641 0.0003053999 199.10155 353.000 0.035020 853.754 271.761 0.00217035612 0.00600406487 0.0000845184 0.0000770214 6292081.200 6080001.417 6188300.087 335.87681 97.23233 159.03600 0.0003055398 199.85585 354.008 0.035120 853.124 271.690 0.00215413353 0.00603752267 0.0000840419 0.0000776203 6275824.231 6065108.806 6170875.595 338.89831 83.21871 158.40871 0.0003056622 200.49985 355.006 0.035219 852.520 271.623 0.00213797531 0.00607021206 0.0000835599 0.0000782048 6260238.340 6050884.848 6154162.879 341.89473 69.35156 157.80706 0.0003057648 201.02112 356.004 0.035318 851.934 271.561 0.00212172266 0.00610246832 0.0000830678 0.0000787809 6245156.821 6037176.097 6137983.514 344.89569 55.49260 157.22460 0.0003058487 201.42714 357.002 0.035417 851.366 271.503 0.00210537846 0.00613429001 0.0000825658 0.0000793483 6230578.130 6023980.696 6122336.048 347.90062 41.64368 156.66129 0.0003059141 201.71837 358.010 0.035517 850.812 271.449 0.00208877913 0.00616599049 0.0000820487 0.0000799125 6216361.114 6011171.313 6107069.054 350.93934 27.66693 156.11168 0.0003059612 201.89649 359.008 0.035616 850.282 271.401 0.00207225951 0.00619693431 0.0000815271 0.0000804619 6202788.625 5999002.352 6092486.456 353.95049 13.84370 155.58671 0.0003059891 201.95841 360.006 0.035715 849.771 271.356 0.00205565683 0.00622743924 0.0000809960 0.0000810023 6189714.524 5987341.417 6078431.530 356.96384 0.03595 155.08073 0.0003059983 201.90698 Engine speed (Hz) = 28.0000000000 Output power (W) = 5653.3648719641 Heat into heater (W) = 9994.9875636466 Heat to regenerator (W) = 1.0065758297 Heat removal from cooler (W) = 4342.2603930428 Approximate Pumping loss (W) = -1537.1155020426 Thermal efficiency (%) = 56.5620000622 The average engine pressure (Pa) = 8453896.9652777128 The exp space work per cycle (J) = 356.9545604297 The comp space work per cycle (J) = -155.0486721453 The net work per cycle (J) = 201.9058882844 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -926.7275608308 The expansion work for Vmin-to-Vmax (J) = 1128.6334491153 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 850.450 271.407 0.00205732436 0.00622295081 0.0000809937 0.0000810046 6199865.488 5983969.705 6081283.404 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000096 849.962 271.368 0.00204074018 0.00625288186 0.0000804566 0.0000815323 6187390.490 5972988.128 6067789.960 2.98735 -13.71517 -0.48576 0.0003059889 -0.17060 2.004 0.000192 849.487 271.334 0.00202390275 0.00628268554 0.0000799046 0.0000820560 6175279.508 5962396.463 6054681.313 6.00721 -27.55624 -0.95768 0.0003059607 -0.45578 3.006 0.000288 849.032 271.304 0.00200698898 0.00631204297 0.0000793436 0.0000825700 6163665.131 5952311.361 6042100.997 9.02753 -41.37695 -1.41057 0.0003059136 -0.85382 4.009 0.000384 848.595 271.279 0.00199000159 0.00634095264 0.0000787736 0.0000830742 6152546.078 5942731.275 6030047.786 12.04768 -55.17553 -1.84448 0.0003058478 -1.36422 5.000 0.000479 848.181 271.258 0.00197312133 0.00636911887 0.0000782010 0.0000835631 6142029.250 5933746.668 6018637.863 15.03559 -68.80687 -2.25524 0.0003057641 -1.97940 6.003 0.000575 847.782 271.242 0.00195599550 0.00639713310 0.0000776139 0.0000840471 6131892.062 5925166.958 6007629.889 18.05355 -82.55621 -2.65153 0.0003056610 -2.71180 7.005 0.000671 847.401 271.230 0.00193880407 0.00642469492 0.0000770183 0.0000845208 6122246.652 5917087.950 5997145.609 21.06944 -96.27819 -3.02896 0.0003055391 -3.55499 8.007 0.000767 847.040 271.222 0.00192154969 0.00645180273 0.0000764146 0.0000849839 6113091.932 5909508.306 5987183.976 24.08262 -109.97109 -3.38758 0.0003053985 -4.50845 9.009 0.000863 846.697 271.219 0.00190423496 0.00647845490 0.0000758029 0.0000854364 6104426.867 5902426.742 5977743.992 27.09245 -123.63319 -3.72742 0.0003052393 -5.57165 10.001 0.000958 846.377 271.221 0.00188704375 0.00650437925 0.0000751898 0.0000858736 6096333.130 5895908.060 5968914.943 30.06697 -137.12095 -4.04526 0.0003050635 -6.73126 11.003 0.001054 846.072 271.227 0.00186961670 0.00653011988 0.0000745627 0.0000863046 6088639.405 5889813.858 5960510.071 33.06816 -150.71665 -4.34784 0.0003048673 -8.01116 12.006 0.001150 845.787 271.237 0.00185213702 0.00655539977 0.0000739282 0.0000867245 6081432.563 5884214.215 5952624.189 36.06401 -164.27642 -4.63173 0.0003046527 -9.39916 13.008 0.001246 845.520 271.252 0.00183460727 0.00658021716 0.0000732864 0.0000871333 6074711.788 5879108.059 5945256.522 39.05384 -177.79856 -4.89697 0.0003044197 -10.89472 14.010 0.001342 845.273 271.272 0.00181702999 0.00660457020 0.0000726375 0.0000875307 6068476.322 5874494.375 5938406.354 42.03699 -191.28136 -5.14357 0.0003041683 -12.49726 15.002 0.001437 845.046 271.296 0.00179959148 0.00662821061 0.0000719887 0.0000879128 6062782.879 5870412.607 5932136.339 44.98180 -204.58332 -5.36929 0.0003039016 -14.18787 16.004 0.001533 844.837 271.324 0.00178192711 0.00665163418 0.0000713264 0.0000882875 6057510.965 5866775.922 5926313.892 47.94960 -217.98279 -5.57890 0.0003036139 -16.00160 17.006 0.001629 844.646 271.357 0.00176422271 0.00667458765 0.0000706577 0.0000886505 6052722.458 5863628.984 5921007.175 50.90865 -231.33784 -5.76994 0.0003033082 -17.92062 18.009 0.001725 844.475 271.395 0.00174648076 0.00669706900 0.0000699827 0.0000890018 6048416.845 5860970.989 5916215.727 53.85826 -244.64675 -5.94244 0.0003029845 -19.94435 19.000 0.001820 844.324 271.436 0.00172888910 0.00671884934 0.0000693088 0.0000893377 6044631.019 5858821.271 5911981.049 56.76715 -257.76993 -6.09488 0.0003026465 -22.04952 20.003 0.001916 844.191 271.483 0.00171107982 0.00674038507 0.0000686220 0.0000896653 6041284.895 5857133.876 5908213.668 59.69587 -270.98197 -6.23051 0.0003022873 -24.27987 21.005 0.002012 844.077 271.534 0.00169324040 0.00676144224 0.0000679296 0.0000899808 6038420.520 5855933.321 5904960.584 62.61303 -284.14275 -6.34762 0.0003019104 -26.61318 22.007 0.002108 843.982 271.590 0.00167537328 0.00678201858 0.0000672318 0.0000902841 6036037.643 5855219.005 5902221.614 65.51791 -297.25054 -6.44622 0.0003015159 -29.04886 23.009 0.002204 843.906 271.650 0.00165748093 0.00680211173 0.0000665287 0.0000905752 6034136.079 5854990.374 5899996.645 68.40979 -310.30361 -6.52632 0.0003011039 -31.58630 24.001 0.002299 843.850 271.714 0.00163975252 0.00682151755 0.0000658281 0.0000908511 6032728.031 5855241.749 5898300.814 71.25804 -323.16513 -6.58737 0.0003006792 -34.19691 25.003 0.002395 843.812 271.783 0.00162181726 0.00684064211 0.0000651154 0.0000911175 6031783.812 5855977.970 5897098.457 74.12189 -336.10415 -6.63066 0.0003002329 -36.93504 26.006 0.002491 843.793 271.857 0.00160386409 0.00685927604 0.0000643981 0.0000913715 6031320.776 5857198.501 5896410.213 76.97056 -348.98321 -6.65543 0.0002997696 -39.77311 27.008 0.002587 843.794 271.935 0.00158589548 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0.0000933176 0.0000441926 7617006.666 7348084.682 7588649.489 210.43473 703.60344 210.95967 0.0002815101 36.44807 308.001 0.029502 900.472 279.575 0.00273859724 0.00409279890 0.0000934158 0.0000449391 7576345.618 7307618.245 7546074.118 212.72483 692.16530 209.42696 0.0002823549 42.66628 309.003 0.029598 899.096 279.299 0.00273062940 0.00414279327 0.0000935019 0.0000456951 7535813.849 7267328.505 7503586.056 215.05848 680.48443 207.89739 0.0002831971 48.82791 310.005 0.029694 897.734 279.029 0.00272238672 0.00419252614 0.0000935748 0.0000464525 7495843.184 7227644.667 7461640.210 217.41171 668.68457 206.38734 0.0002840273 54.86643 311.007 0.029790 896.386 278.763 0.00271387402 0.00424198912 0.0000936344 0.0000472111 7456434.343 7188566.604 7420240.216 219.78452 656.76965 204.89694 0.0002848455 60.78145 312.009 0.029886 895.053 278.502 0.00270509606 0.00429117413 0.0000936808 0.0000479706 7417587.875 7150093.981 7379389.410 222.17691 644.74354 203.42631 0.0002856514 66.57262 313.001 0.029981 893.747 278.249 0.00269615307 0.00433956556 0.0000937135 0.0000487229 7379700.052 7112617.617 7339507.751 224.56362 632.73699 201.99057 0.0002864364 72.18124 314.004 0.030077 892.442 277.999 0.00268686144 0.00438817479 0.0000937334 0.0000494835 7341973.458 7075347.840 7299758.363 226.99485 620.50092 200.55959 0.0002872169 77.72510 315.006 0.030173 891.152 277.753 0.00267731865 0.00443648379 0.0000937400 0.0000502444 7304809.921 7038681.421 7260566.423 229.44552 608.16487 199.14868 0.0002879844 83.14427 316.008 0.030269 889.877 277.512 0.00266752933 0.00448448571 0.0000937333 0.0000510053 7268209.372 7002617.340 7221934.166 231.91554 595.73245 197.75792 0.0002887386 88.43853 317.010 0.030365 888.617 277.275 0.00265749810 0.00453217397 0.0000937132 0.0000517659 7232171.604 6967154.433 7183863.576 234.40482 583.20722 196.38738 0.0002894792 93.60770 318.002 0.030460 887.386 277.046 0.00264733770 0.00457905054 0.0000936803 0.0000525182 7197062.919 6932651.468 7146744.190 236.88700 570.72454 195.05108 0.0002901985 98.59973 319.004 0.030556 886.156 276.819 0.00263683873 0.00462609629 0.0000936338 0.0000532777 7162143.730 6898380.660 7109796.057 239.41422 558.02503 193.72095 0.0002909115 103.51960 320.007 0.030652 884.942 276.597 0.00262611139 0.00467281033 0.0000935740 0.0000540362 7127785.955 6864706.784 7073414.152 241.96028 545.24300 192.41120 0.0002916103 108.31402 321.009 0.030748 883.744 276.379 0.00261516014 0.00471918711 0.0000935010 0.0000547936 7093988.906 6831628.199 7037599.575 244.52502 532.38179 191.12188 0.0002922946 112.98291 322.001 0.030843 882.574 276.168 0.00260410686 0.00476474359 0.0000934157 0.0000555418 7061095.128 6799478.500 7002717.448 247.08126 519.57980 189.86612 0.0002929575 117.47956 323.003 0.030939 881.408 275.960 0.00259272320 0.00481043382 0.0000933164 0.0000562962 7028411.238 6767579.041 6968034.123 249.68261 506.57069 188.61752 0.0002936125 121.89861 324.005 0.031035 880.258 275.756 0.00258112868 0.00485577161 0.0000932038 0.0000570487 6996285.419 6736269.424 6933920.282 252.30203 493.49200 187.38942 0.0002942525 126.19211 325.007 0.031131 879.124 275.557 0.00256932759 0.00490075231 0.0000930782 0.0000577992 6964716.603 6705547.670 6900376.297 254.93930 480.34682 186.18184 0.0002948773 130.36008 326.010 0.031227 878.006 275.362 0.00255732415 0.00494537147 0.0000929394 0.0000585473 6933703.642 6675411.733 6867402.382 257.59417 467.13820 184.99478 0.0002954867 134.40258 327.001 0.031322 876.916 275.174 0.00254525067 0.00498916577 0.0000927892 0.0000592852 6903559.731 6646164.346 6835333.198 260.23845 454.00765 183.84029 0.0002960744 138.27953 328.004 0.031418 875.831 274.988 0.00253285709 0.00503305316 0.0000926245 0.0000600280 6873648.980 6617187.635 6803493.527 262.92754 440.68165 182.69406 0.0002966525 142.07266 329.006 0.031514 874.764 274.807 0.00252027355 0.00507656686 0.0000924468 0.0000607679 6844290.222 6588790.301 6772223.695 265.63340 427.30099 181.56834 0.0002972147 145.74063 330.008 0.031610 873.712 274.630 0.00250750412 0.00511970313 0.0000922562 0.0000615046 6815482.041 6560970.104 6741523.360 268.35573 413.86852 180.46313 0.0002977607 149.28359 331.010 0.031706 872.678 274.458 0.00249455279 0.00516245844 0.0000920527 0.0000622378 6787222.967 6533724.763 6711392.064 271.09421 400.38702 179.37841 0.0002982905 152.70169 332.002 0.031801 871.672 274.292 0.00248156121 0.00520439001 0.0000918388 0.0000629597 6759797.325 6507326.872 6682134.255 273.81972 387.00038 178.32512 0.0002987985 155.96146 333.004 0.031897 870.671 274.129 0.00246825974 0.00524637740 0.0000916099 0.0000636854 6732626.180 6481218.373 6653133.312 276.58933 373.42943 177.28109 0.0002992953 159.13171 334.007 0.031993 869.689 273.970 0.00245478808 0.00528797409 0.0000913684 0.0000644070 6705999.471 6455677.767 6624699.402 279.37404 359.81750 176.25747 0.0002997754 162.17771 335.009 0.032089 868.723 273.816 0.00244115006 0.00532917713 0.0000911143 0.0000651242 6679915.557 6430702.688 6596831.667 282.17351 346.16719 175.25423 0.0003002385 165.09969 336.001 0.032184 867.785 273.668 0.00242749403 0.00536956065 0.0000908506 0.0000658295 6654636.055 6406542.156 6569810.655 284.95795 332.62380 174.28148 0.0003006800 167.86938 337.003 0.032280 866.854 273.522 0.00241353620 0.00540997212 0.0000905717 0.0000665374 6629627.082 6382685.168 6543066.495 287.78561 318.90469 173.31869 0.0003011091 170.54537 338.005 0.032376 865.940 273.381 0.00239942316 0.00544998179 0.0000902804 0.0000672404 6605155.831 6359386.589 6516885.471 290.62683 305.15470 172.37617 0.0003015208 173.09812 339.007 0.032472 865.045 273.245 0.00238515855 0.00548958714 0.0000899769 0.0000679382 6581220.562 6336644.037 6491266.434 293.48121 291.37628 171.45388 0.0003019151 175.52794 340.010 0.032568 864.167 273.112 0.00237074597 0.00552878579 0.0000896613 0.0000686305 6557819.520 6314455.134 6466208.173 296.34832 277.57180 170.55179 0.0003022918 177.83513 341.001 0.032663 863.316 272.986 0.00235634132 0.00556717348 0.0000893371 0.0000693101 6535186.411 6293040.071 6441961.743 299.19765 263.88779 169.67891 0.0003026472 179.99788 342.004 0.032759 862.473 272.863 0.00234164485 0.00560555617 0.0000889975 0.0000699911 6512842.990 6271945.668 6418015.398 302.08876 250.03843 168.81685 0.0003029886 182.06205 343.006 0.032855 861.649 272.744 0.00232681088 0.00564352554 0.0000886461 0.0000706660 6491028.487 6251397.872 6394625.925 304.99126 236.16993 167.97482 0.0003033121 184.00459 344.008 0.032951 860.842 272.629 0.00231184285 0.00568107951 0.0000882830 0.0000713346 6469741.120 6231394.359 6371791.940 307.90467 222.28454 167.15280 0.0003036176 185.82585 345.010 0.033047 860.054 272.519 0.00229674413 0.00571821612 0.0000879082 0.0000719968 6448979.106 6211932.827 6349512.030 310.82852 208.38445 166.35072 0.0003039050 187.52620 346.002 0.033142 859.292 272.415 0.00228167731 0.00575455315 0.0000875259 0.0000726456 6428948.793 6193205.324 6328008.236 313.73171 194.61683 165.57659 0.0003041715 189.09018 347.004 0.033238 858.539 272.314 0.00226632846 0.00579085374 0.0000871283 0.0000732943 6409226.735 6174815.353 6306826.398 316.67487 180.69394 164.81404 0.0003044226 190.55110 348.007 0.033334 857.805 272.217 0.00225085878 0.00582673143 0.0000867194 0.0000739360 6390024.741 6156960.629 6286194.269 319.62699 166.76276 164.07129 0.0003046554 191.89226 349.009 0.033430 857.090 272.125 0.00223527148 0.00586218447 0.0000862994 0.0000745705 6371341.065 6139638.955 6266110.361 322.58754 152.82536 163.34826 0.0003048698 193.11408 350.001 0.033525 856.399 272.038 0.00221973388 0.00589684850 0.0000858728 0.0000751910 6353360.559 6123020.344 6246773.876 325.52505 139.02904 162.65215 0.0003050638 194.20610 351.003 0.033621 855.720 271.955 0.00220392199 0.00593145166 0.0000854309 0.0000758105 6335702.988 6106752.823 6227776.242 328.50084 125.08536 161.96824 0.0003052414 195.19172 352.005 0.033717 855.060 271.876 0.00218800188 0.00596562521 0.0000849783 0.0000764221 6318558.615 6091011.994 6209322.347 331.48348 111.14152 161.30390 0.0003054004 196.05926 353.007 0.033813 854.417 271.801 0.00217197661 0.00599936756 0.0000845150 0.0000770257 6301925.771 6075795.803 6191410.697 334.47243 97.19948 160.65908 0.0003055407 196.80917 354.010 0.033909 853.794 271.731 0.00215584921 0.00603267715 0.0000840412 0.0000776211 6285802.812 6061102.238 6174039.802 337.46713 83.26121 160.03372 0.0003056624 197.44189 355.001 0.034004 853.195 271.666 0.00213979221 0.00606521225 0.0000835622 0.0000782021 6270348.159 6047074.285 6157380.744 340.43574 69.47371 159.43400 0.0003057643 197.95311 356.004 0.034100 852.608 271.605 0.00212347050 0.00609765629 0.0000830680 0.0000787807 6255234.879 6033414.706 6141081.358 343.44021 55.54862 158.84722 0.0003058487 198.35403 357.006 0.034196 852.040 271.549 0.00210705553 0.00612966302 0.0000825638 0.0000793505 6240626.741 6020271.986 6125318.368 346.44872 41.63297 158.27975 0.0003059143 198.63916 358.008 0.034292 851.490 271.496 0.00209055019 0.00616123096 0.0000820497 0.0000799115 6226522.224 6007644.287 6110090.353 349.46071 27.72864 157.73154 0.0003059611 198.80895 359.010 0.034388 850.960 271.449 0.00207395735 0.00619235860 0.0000815258 0.0000804633 6212919.842 5995529.815 6095395.921 352.47557 13.83747 157.20254 0.0003059891 198.86390 360.002 0.034483 850.453 271.406 0.00205745401 0.00622272711 0.0000809980 0.0000810003 6199952.047 5984045.060 6081378.489 355.46127 0.10575 156.69792 0.0003059983 198.80569 Engine speed (Hz) = 29.0000000000 Output power (W) = 5765.3301470088 Heat into heater (W) = 10308.3768431486 Heat to regenerator (W) = 3.0667372323 Heat removal from cooler (W) = 4544.2395943634 Approximate Pumping loss (W) = -1695.3173835563 Thermal efficiency (%) = 55.9285931697 The average engine pressure (Pa) = 8455043.8317339178 The exp space work per cycle (J) = 355.4828574008 The comp space work per cycle (J) = -156.6783695729 The net work per cycle (J) = 198.8044878279 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -928.2755773781 The expansion work for Vmin-to-Vmax (J) = 1127.0800652059 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 851.151 271.457 0.00205915876 0.00621812265 0.0000809953 0.0000810030 6210387.731 5980545.053 6084310.047 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000093 850.663 271.420 0.00204254149 0.00624816132 0.0000804572 0.0000815317 6197915.810 5969649.342 6070741.250 2.98332 -13.74939 -0.48848 0.0003059889 -0.17810 2.005 0.000186 850.189 271.387 0.00202566371 0.00627808311 0.0000799040 0.0000820566 6185803.638 5959141.864 6057553.996 6.00019 -27.63030 -0.96322 0.0003059606 -0.47140 3.010 0.000279 849.734 271.358 0.00200870836 0.00630755758 0.0000793417 0.0000825717 6174188.137 5949142.188 6044897.389 9.01759 -41.49139 -1.41886 0.0003059134 -0.87808 4.003 0.000371 849.302 271.334 0.00199186172 0.00633627344 0.0000787767 0.0000830715 6163184.969 5939748.152 6032897.811 12.00243 -55.18218 -1.85084 0.0003058482 -1.39143 5.008 0.000464 848.884 271.314 0.00197476028 0.00636485339 0.0000781968 0.0000835667 6152553.710 5930754.046 6021293.245 15.01898 -68.99852 -2.26860 0.0003057635 -2.02210 6.001 0.000556 848.489 271.299 0.00195777446 0.00639268124 0.0000776147 0.0000840464 6142521.834 5922351.874 6010332.156 18.00175 -82.64155 -2.66320 0.0003056611 -2.75602 7.006 0.000649 848.109 271.289 0.00194053766 0.00642036032 0.0000770179 0.0000845211 6132870.129 5914357.594 5999775.193 21.01494 -96.40611 -3.04325 0.0003055390 -3.60861 8.010 0.000742 847.747 271.282 0.00192323683 0.00644758406 0.0000764129 0.0000849852 6123709.203 5906863.892 5989743.302 24.02548 -110.14201 -3.40440 0.0003053981 -4.57197 9.004 0.000834 847.408 271.281 0.00190606163 0.00647406541 0.0000758064 0.0000854339 6115128.659 5899942.034 5980334.955 27.00038 -123.70030 -3.74310 0.0003052403 -5.63341 10.008 0.000927 847.085 271.283 0.00188864128 0.00650037835 0.0000751856 0.0000858766 6106940.994 5893440.316 5971344.707 30.00368 -137.37400 -4.06675 0.0003050622 -6.81549 11.002 0.001019 846.783 271.291 0.00187135298 0.00652595529 0.0000745639 0.0000863038 6099321.385 5887497.404 5962965.045 32.97012 -150.86734 -4.36842 0.0003048677 -8.09223 12.006 0.001112 846.497 271.302 0.00185382347 0.00655135046 0.0000739279 0.0000867247 6092103.328 5881982.983 5955012.995 35.96353 -164.47194 -4.65469 0.0003046526 -9.49086 13.010 0.001205 846.231 271.319 0.00183624296 0.00657628156 0.0000732848 0.0000871343 6085371.457 5876963.240 5947581.691 38.95097 -178.03922 -4.92222 0.0003044191 -10.99751 14.004 0.001297 845.985 271.339 0.00181880381 0.00660048611 0.0000726415 0.0000875284 6079189.608 5872483.197 5940741.988 41.89973 -191.42219 -5.16845 0.0003041699 -12.59369 15.008 0.001390 845.757 271.365 0.00180112947 0.00662448838 0.0000719844 0.0000879153 6073422.708 5868444.499 5934344.568 44.87325 -204.91008 -5.39876 0.0003038998 -14.31356 16.002 0.001482 845.549 271.394 0.00178360249 0.00664777027 0.0000713279 0.0000882867 6068194.161 5864933.102 5928526.451 47.80688 -218.21112 -5.60821 0.0003036146 -16.11955 17.006 0.001575 845.358 271.428 0.00176584439 0.00667083588 0.0000706577 0.0000886505 6063389.742 5861871.814 5923160.656 50.76373 -231.61275 -5.80138 0.0003033082 -18.05036 18.000 0.001667 845.188 271.467 0.00174823951 0.00669318714 0.0000699886 0.0000889988 6059112.278 5859325.672 5918362.147 53.67951 -244.82508 -5.97412 0.0003029874 -20.06390 19.004 0.001760 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913.887 282.265 0.00279737077 0.00362909288 0.0000920560 0.0000382536 7970261.208 7685357.612 7955453.605 191.69427 790.16477 225.71331 0.0002743096 -20.82603 300.010 0.027779 912.398 281.940 0.00279211236 0.00368104814 0.0000922597 0.0000389884 7924777.198 7639663.261 7908243.922 193.85375 779.74521 224.01377 0.0002752481 -13.57501 301.003 0.027871 910.936 281.625 0.00278659601 0.00373227912 0.0000924485 0.0000397188 7880322.812 7595052.000 7862027.256 196.00824 769.28242 222.34997 0.0002761672 -6.51831 302.008 0.027964 909.470 281.312 0.00278070662 0.00378388780 0.0000926264 0.0000404603 7835933.955 7550556.215 7815805.868 198.20476 758.55338 220.68600 0.0002770867 0.49669 303.001 0.028056 908.033 281.008 0.00277457561 0.00383475318 0.0000927896 0.0000411968 7792567.301 7507134.625 7770580.220 200.39624 747.79313 219.05787 0.0002779864 7.31843 304.006 0.028149 906.592 280.706 0.00276807454 0.00388597012 0.0000929416 0.0000419440 7749281.995 7463844.803 7725373.289 202.63047 736.77205 217.43042 0.0002788856 14.09450 305.010 0.028242 905.164 280.409 0.00276127326 0.00393697406 0.0000930805 0.0000426938 7706554.109 7421163.205 7680685.195 204.88386 725.61061 215.82165 0.0002797743 20.74949 306.004 0.028334 903.765 280.122 0.00275425449 0.00398720997 0.0000932049 0.0000434378 7664835.609 7379539.910 7636993.431 207.13199 714.43523 214.24875 0.0002806427 27.21320 307.008 0.028427 902.364 279.836 0.00274687048 0.00403776018 0.0000933175 0.0000441920 7623220.879 7338070.713 7593353.179 209.42381 703.00709 212.67770 0.0002815095 33.62559 308.002 0.028519 900.991 279.558 0.00273928474 0.00408752833 0.0000934159 0.0000449399 7582605.962 7297647.813 7550707.525 211.71011 691.57597 211.14246 0.0002823558 39.84826 309.006 0.028612 899.616 279.283 0.00273133715 0.00413758727 0.0000935022 0.0000456976 7542108.864 7257392.607 7508133.703 214.04064 679.89740 209.60980 0.0002831998 46.01602 310.010 0.028705 898.256 279.013 0.00272311343 0.00418738596 0.0000935752 0.0000464566 7502174.838 7217747.683 7466102.156 216.39069 668.09891 208.09666 0.0002840318 52.06015 311.004 0.028797 896.924 278.751 0.00271471114 0.00423638482 0.0000936342 0.0000472087 7463224.818 7179129.244 7425059.753 218.73470 656.31317 206.61914 0.0002848429 57.91725 312.008 0.028890 895.592 278.491 0.00270595232 0.00428564100 0.0000936807 0.0000479698 7424412.489 7140697.281 7384117.637 221.12361 644.28778 205.14522 0.0002856505 63.71430 313.002 0.028982 894.289 278.238 0.00269702996 0.00433408762 0.0000937136 0.0000487234 7386572.791 7103277.633 7344159.321 223.50602 632.28507 203.70672 0.0002864370 69.32633 314.006 0.029075 892.986 277.988 0.00268775475 0.00438277043 0.0000937335 0.0000494857 7348883.239 7066055.996 7304318.944 225.93370 620.04783 202.27247 0.0002872192 74.87505 315.000 0.029167 891.711 277.745 0.00267833071 0.00443063547 0.0000937400 0.0000502400 7312154.337 7029831.855 7265455.786 228.35436 607.84281 200.87339 0.0002879800 80.24089 316.004 0.029260 890.438 277.505 0.00266855755 0.00447871644 0.0000937333 0.0000510026 7275587.466 6993816.586 7226727.273 230.82055 595.40829 199.47917 0.0002887359 85.54029 317.009 0.029353 889.180 277.269 0.00265854097 0.00452648482 0.0000937133 0.0000517648 7239584.593 6958405.900 7188560.883 233.30598 582.87994 198.10518 0.0002894781 90.71407 318.002 0.029445 887.950 277.041 0.00264839705 0.00457342577 0.0000936803 0.0000525185 7204523.367 6923969.446 7151359.749 235.78349 570.39743 196.76594 0.0002901988 95.70845 319.007 0.029538 886.722 276.815 0.00263790975 0.00462055371 0.0000936337 0.0000532796 7169641.049 6889757.080 7114316.722 238.30682 557.69281 195.43239 0.0002909133 100.63189 320.000 0.029630 885.523 276.595 0.00262730899 0.00466684943 0.0000935744 0.0000540316 7135687.160 6856502.940 7078229.760 240.82155 545.04261 194.13326 0.0002916060 105.37842 321.005 0.029723 884.327 276.378 0.00261636872 0.00471331381 0.0000935013 0.0000547906 7101922.816 6823482.373 7042315.515 243.38220 532.17512 192.84034 0.0002922920 110.05115 322.009 0.029816 883.146 276.166 0.00260520734 0.00475943650 0.0000934149 0.0000555483 7068719.245 6791058.219 7006970.252 245.96133 519.23067 191.56791 0.0002929632 114.59779 323.003 0.029908 881.994 275.961 0.00259395271 0.00480472202 0.0000933164 0.0000562962 7036423.523 6759567.650 6972565.642 248.53074 506.35285 190.32935 0.0002936125 118.97144 324.007 0.030001 880.846 275.758 0.00258236443 0.00485014995 0.0000932036 0.0000570503 7004332.537 6728324.102 6938354.353 251.14607 493.26482 189.09774 0.0002942539 123.26720 325.001 0.030093 879.726 275.562 0.00257069591 0.00489473877 0.0000930790 0.0000577943 6973135.315 6697997.456 6905072.528 253.75084 480.25109 187.89960 0.0002948734 127.39272 326.005 0.030186 878.610 275.368 0.00255869766 0.00493945334 0.0000929400 0.0000585441 6942152.463 6667926.321 6871996.916 256.40145 467.03178 186.70887 0.0002954841 131.43775 327.010 0.030279 877.510 275.179 0.00254649960 0.00498380276 0.0000927879 0.0000592913 6911724.803 6638441.316 6839492.460 259.06942 453.75098 185.53871 0.0002960792 135.35684 328.003 0.030371 876.439 274.996 0.00253424018 0.00502731200 0.0000926245 0.0000600278 6882169.276 6609847.871 6807899.465 261.72550 440.55538 184.40137 0.0002966523 139.10999 329.008 0.030464 875.373 274.815 0.00252165694 0.00507092298 0.0000924465 0.0000607692 6852841.981 6581522.128 6776530.966 264.42717 427.16099 183.27210 0.0002972157 142.77890 330.001 0.030556 874.335 274.642 0.00250902447 0.00511369417 0.0000922575 0.0000614995 6824372.187 6554070.979 6746061.270 267.11601 413.85864 182.17519 0.0002977571 146.28481 331.006 0.030649 873.302 274.470 0.00249607211 0.00515655179 0.0000920537 0.0000622343 6796139.488 6526895.331 6715827.585 269.85017 400.36193 181.08678 0.0002982880 149.70410 332.010 0.030742 872.287 274.304 0.00248294015 0.00519902545 0.0000918370 0.0000629655 6768454.742 6500294.303 6686163.651 272.60019 386.81791 180.01888 0.0002988025 152.99817 333.004 0.030834 871.299 274.143 0.00246977651 0.00524066139 0.0000916101 0.0000636849 6741605.260 6474542.343 6657378.664 275.33590 373.37563 178.98262 0.0002992950 156.13382 334.008 0.030927 870.317 273.985 0.00245629889 0.00528236159 0.0000913681 0.0000644080 6715005.736 6449077.235 6628846.144 278.11642 359.74551 177.95545 0.0002997761 159.17941 335.002 0.031019 869.364 273.834 0.00244280086 0.00532322633 0.0000911162 0.0000651191 6689226.570 6424444.248 6601178.898 280.88159 346.22322 176.95942 0.0003002352 162.06969 336.006 0.031112 868.417 273.685 0.00242899274 0.00536414108 0.0000908491 0.0000658333 6663705.662 6400105.472 6573774.574 283.69116 332.51734 175.97287 0.0003006824 164.86773 337.010 0.031205 867.488 273.540 0.00241502410 0.00540465678 0.0000905695 0.0000665427 6638724.413 6376329.269 6546935.976 286.51475 318.77718 175.00668 0.0003011123 167.54171 338.004 0.031297 866.586 273.402 0.00240105134 0.00544434157 0.0000902808 0.0000672396 6614541.054 6353359.868 6520941.574 289.32138 305.15346 174.07088 0.0003015204 170.06516 339.008 0.031390 865.692 273.266 0.00238677433 0.00548405564 0.0000899766 0.0000679389 6590628.111 6330695.528 6495225.167 292.17165 291.35244 173.14509 0.0003019155 172.49321 340.002 0.031482 864.824 273.137 0.00237250363 0.00552294251 0.0000896637 0.0000686253 6567498.107 6308821.287 6470338.654 295.00385 277.67327 172.24918 0.0003022890 174.77396 341.006 0.031575 863.966 273.010 0.00235793254 0.00556184523 0.0000893354 0.0000693135 6544646.442 6287259.229 6445739.810 297.87912 263.82091 171.36362 0.0003026489 176.95731 342.000 0.031667 863.134 272.889 0.00234337787 0.00559992496 0.0000889988 0.0000699886 6522562.798 6266470.713 6421956.401 300.73518 250.09555 170.50741 0.0003029874 178.99662 343.004 0.031760 862.310 272.771 0.00232852665 0.00563800736 0.0000886466 0.0000706650 6500765.314 6246001.457 6398470.092 303.63367 236.20108 169.66191 0.0003033116 180.93658 344.009 0.031853 861.505 272.658 0.00231353978 0.00567567419 0.0000882827 0.0000713351 6479495.081 6226078.019 6375541.059 306.54314 222.28883 168.83646 0.0003036178 182.75471 345.002 0.031945 860.726 272.550 0.00229858391 0.00571252513 0.0000879112 0.0000719916 6458970.577 6206903.567 6353405.537 309.43166 208.51087 168.03958 0.0003039028 184.43380 346.007 0.032038 859.957 272.446 0.00228333724 0.00574935933 0.0000875241 0.0000726486 6438743.844 6188058.975 6331580.925 312.36154 194.56984 167.25390 0.0003041727 186.01070 347.000 0.032130 859.214 272.347 0.00226813091 0.00578538281 0.0000871299 0.0000732918 6419248.124 6169947.273 6310535.170 315.26929 180.76765 166.49625 0.0003044217 187.45190 348.005 0.032223 858.481 272.252 0.00225263758 0.00582137684 0.0000867202 0.0000739349 6400057.843 6152172.495 6289809.321 318.21762 166.80639 165.75012 0.0003046550 188.78912 349.009 0.032316 857.766 272.160 0.00223702512 0.00585694581 0.0000862992 0.0000745707 6381385.957 6134932.182 6269633.647 321.17445 152.83810 165.02380 0.0003048699 190.00646 350.003 0.032408 857.077 272.075 0.00222146646 0.00589171237 0.0000858719 0.0000751923 6363423.202 6118400.978 6250214.808 324.10735 139.01514 164.32472 0.0003050642 191.09316 351.007 0.032501 856.399 271.992 0.00220562649 0.00592643063 0.0000854290 0.0000758131 6345777.377 6102217.379 6231129.195 327.07955 125.03902 163.63764 0.0003052421 192.07327 352.001 0.032593 855.747 271.916 0.00218984893 0.00596035232 0.0000849803 0.0000764195 6328826.303 6086727.356 6212785.812 330.02660 111.21229 162.97727 0.0003053997 192.92614 353.005 0.032686 855.105 271.842 0.00217379384 0.00599421324 0.0000845160 0.0000770244 6312199.818 6071592.114 6194784.432 333.01203 97.23634 162.32922 0.0003055404 193.67075 354.010 0.032779 854.482 271.773 0.00215763520 0.00602764076 0.0000840412 0.0000776211 6296083.279 6056980.828 6177325.909 336.00327 83.26343 161.70072 0.0003056624 194.29764 355.003 0.032871 853.884 271.710 0.00214155137 0.00606028085 0.0000835613 0.0000782031 6280640.197 6043040.237 6160587.823 338.96753 69.44566 161.09815 0.0003057645 194.80241 356.008 0.032964 853.298 271.650 0.00212519569 0.00609284151 0.0000830661 0.0000787829 6265533.277 6029465.358 6144204.877 341.96867 55.48456 160.50836 0.0003058490 195.19649 357.001 0.033056 852.737 271.595 0.00210892277 0.00612462100 0.0000825662 0.0000793479 6251085.876 6016546.266 6128528.007 344.94160 41.68223 159.94399 0.0003059140 195.47188 358.006 0.033149 852.188 271.544 0.00209238176 0.00615630865 0.0000820510 0.0000799101 6236982.410 6004000.276 6113215.027 347.95035 27.74049 159.39273 0.0003059610 195.63504 359.010 0.033242 851.658 271.497 0.00207575194 0.00618755513 0.0000815260 0.0000804631 6223381.141 5991968.788 6098437.857 350.96205 13.81129 158.86075 0.0003059891 195.68283 360.004 0.033334 851.152 271.456 0.00205921635 0.00621803003 0.0000809972 0.0000810011 6210418.827 5980571.182 6084345.462 353.94367 0.04601 158.35342 0.0003059983 195.61707 Engine speed (Hz) = 30.0000000000 Output power (W) = 5868.4722598863 Heat into heater (W) = 10618.3100769174 Heat to regenerator (W) = 1.3802535875 Heat removal from cooler (W) = 4750.6026285895 Approximate Pumping loss (W) = -1863.5926161881 Thermal efficiency (%) = 55.2674786984 The average engine pressure (Pa) = 8456382.7555562723 The exp space work per cycle (J) = 353.9367169232 The comp space work per cycle (J) = -158.3209749270 The net work per cycle (J) = 195.6157419962 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -929.8672133239 The expansion work for Vmin-to-Vmax (J) = 1125.4829553201 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 851.868 271.507 0.00206097566 0.00621327732 0.0000809947 0.0000810036 6221151.126 5976954.565 6087371.724 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000090 851.382 271.472 0.00204436149 0.00624335811 0.0000804568 0.0000815321 6208713.224 5966172.536 6073757.215 2.97248 -13.75365 -0.49012 0.0003059889 -0.18576 2.006 0.000180 850.910 271.440 0.00202747983 0.00627333452 0.0000799036 0.0000820570 6196628.650 5955775.002 6060518.662 5.97955 -27.64457 -0.96671 0.0003059606 -0.48688 3.010 0.000270 850.456 271.412 0.00201051970 0.00630286450 0.0000793413 0.0000825721 6185038.597 5945884.332 6047810.778 8.98719 -41.51633 -1.42419 0.0003059134 -0.90140 4.004 0.000359 850.025 271.390 0.00199367356 0.00633162577 0.0000787765 0.0000830717 6174062.385 5936600.483 6035764.797 11.96136 -55.21332 -1.85785 0.0003058482 -1.42233 5.008 0.000449 849.608 271.371 0.00197656557 0.00636026304 0.0000781966 0.0000835668 6163452.143 5927713.340 6024108.894 14.96828 -69.04158 -2.27746 0.0003057634 -2.06085 6.001 0.000538 849.215 271.358 0.00195957858 0.00638813832 0.0000776147 0.0000840464 6153442.503 5919418.978 6013101.021 17.94050 -82.69205 -2.67375 0.0003056611 -2.80226 7.006 0.000628 848.836 271.348 0.00194233355 0.00641587637 0.0000770179 0.0000845211 6143807.414 5911529.622 6002492.771 20.94419 -96.46973 -3.05564 0.0003055390 -3.66270 8.010 0.000718 848.475 271.343 0.00192502364 0.00644315977 0.0000764129 0.0000849852 6134660.990 5904139.910 5992409.753 23.94527 -110.21933 -3.41863 0.0003053981 -4.63393 9.003 0.000807 848.137 271.343 0.00190784487 0.00646969123 0.0000758066 0.0000854337 6126095.741 5897322.390 5982954.347 26.90982 -123.78681 -3.75903 0.0003052403 -5.70277 10.008 0.000897 847.814 271.347 0.00189041384 0.00649606522 0.0000751858 0.0000858765 6117918.228 5890922.630 5973913.181 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8114353.144 7814003.666 8103868.890 184.38058 819.39853 232.64617 0.0002714527 -45.99767 297.009 0.026614 917.368 282.902 0.00280713948 0.00352059402 0.0000916132 0.0000368046 8067358.837 7766615.339 8055268.006 186.47975 809.50770 230.89654 0.0002724177 -38.40547 298.003 0.026703 915.875 282.569 0.00280261929 0.00357219889 0.0000918398 0.0000375238 8021420.816 7720340.261 8007666.257 188.57294 799.55826 229.18287 0.0002733636 -31.01136 299.007 0.026793 914.378 282.240 0.00279772143 0.00362424294 0.0000920564 0.0000382549 7975509.406 7674141.684 7960002.290 190.70746 789.33115 227.46697 0.0002743113 -23.65009 300.000 0.026882 912.909 281.919 0.00279255942 0.00367555733 0.0000922578 0.0000389816 7930647.289 7629048.939 7913343.071 192.83608 779.05806 225.78724 0.0002752394 -16.48611 301.005 0.026972 911.436 281.601 0.00278702199 0.00372728307 0.0000924487 0.0000397198 7885828.607 7584051.056 7866647.507 195.00686 768.51255 224.10620 0.0002761686 -9.35926 302.009 0.027062 909.974 281.289 0.00278117017 0.00377883095 0.0000926266 0.0000404613 7841562.589 7539660.055 7820449.620 197.19618 757.81357 222.44308 0.0002770880 -2.35144 303.002 0.027151 908.541 280.986 0.00277507889 0.00382962002 0.0000927898 0.0000411976 7798333.778 7496360.721 7775260.959 199.37957 747.08684 220.81628 0.0002779874 4.46072 304.007 0.027241 907.105 280.685 0.00276861605 0.00388078072 0.0000929418 0.0000419448 7755172.447 7453181.361 7730072.218 201.60625 736.09556 219.18949 0.0002788866 11.22963 305.011 0.027331 905.682 280.389 0.00276185319 0.00393173075 0.0000930806 0.0000426946 7712568.925 7410612.899 7685399.783 203.85193 724.96368 217.58128 0.0002797752 17.87746 306.004 0.027420 904.288 280.103 0.00275487514 0.00398189750 0.0000932050 0.0000434384 7670988.635 7369118.905 7641736.783 206.09144 713.82135 216.00941 0.0002806433 24.33175 307.009 0.027510 902.891 279.818 0.00274752984 0.00403239858 0.0000933176 0.0000441926 7629498.331 7327767.402 7598107.068 208.37522 702.42226 214.43874 0.0002815101 30.73701 308.002 0.027599 901.523 279.542 0.00273998518 0.00408210250 0.0000934159 0.0000449402 7589020.969 7287477.531 7555484.805 210.65259 691.02371 212.90434 0.0002823561 36.95040 309.006 0.027689 900.153 279.267 0.00273207636 0.00413211717 0.0000935022 0.0000456978 7548647.738 7247343.890 7512916.545 212.97477 679.37352 211.37189 0.0002832001 43.11108 310.011 0.027779 898.797 278.998 0.00272389130 0.00418187402 0.0000935752 0.0000464569 7508837.184 7207822.345 7470888.216 215.31633 667.60301 209.85887 0.0002840321 49.14813 311.004 0.027868 897.470 278.737 0.00271553017 0.00423081619 0.0000936342 0.0000472087 7470022.759 7169341.428 7429861.506 217.65095 655.84879 208.38190 0.0002848429 54.99613 312.008 0.027958 896.143 278.478 0.00270680974 0.00428003549 0.0000936807 0.0000479698 7431332.531 7131035.775 7388917.882 220.03108 643.85052 206.90793 0.0002856505 60.78615 313.002 0.028047 894.844 278.227 0.00269792836 0.00432843053 0.0000937135 0.0000487232 7393626.431 7093755.828 7348970.278 222.40383 631.87850 205.46982 0.0002864367 66.38921 314.006 0.028137 893.546 277.978 0.00268869104 0.00437708144 0.0000937335 0.0000494854 7356057.141 7056662.865 7309123.845 224.82246 619.66738 204.03535 0.0002872189 71.93095 315.010 0.028227 892.262 277.734 0.00267920076 0.00442543565 0.0000937400 0.0000502480 7319051.325 7020178.015 7269833.098 227.26038 607.35474 202.62088 0.0002879880 77.34746 316.004 0.028316 891.008 277.497 0.00266957166 0.00447295408 0.0000937333 0.0000510020 7283010.544 6984695.313 7231527.674 229.69011 595.08260 201.24189 0.0002887353 82.58043 317.008 0.028406 889.754 277.263 0.00265959186 0.00452069798 0.0000937133 0.0000517643 7247124.506 6949415.995 7193348.855 232.16615 582.57868 199.86745 0.0002894776 87.74727 318.001 0.028495 888.529 277.035 0.00264948754 0.00456760015 0.0000936803 0.0000525176 7212190.182 6915122.546 7156146.879 234.63338 570.12425 198.52818 0.0002901980 92.73301 319.006 0.028585 887.306 276.810 0.00263903609 0.00461470855 0.0000936337 0.0000532788 7177421.914 6881042.688 7119087.367 237.14711 557.44282 197.19403 0.0002909125 97.64956 320.010 0.028675 886.099 276.590 0.00262835416 0.00466148855 0.0000935738 0.0000540390 7143214.614 6847563.340 7082592.865 239.67958 544.67720 195.88023 0.0002916128 102.44012 321.003 0.028764 884.920 276.377 0.00261756858 0.00470742034 0.0000935014 0.0000547896 7109938.233 6815044.709 7047060.674 242.20219 531.97387 194.60107 0.0002922910 107.05348 322.008 0.028854 883.744 276.166 0.00260644132 0.00475353076 0.0000934150 0.0000555472 7076844.068 6782754.117 7011693.325 244.77146 519.05059 193.32785 0.0002929622 111.59327 323.001 0.028943 882.597 275.962 0.00259522387 0.00479879012 0.0000933165 0.0000562948 7044666.551 6751407.165 6977277.570 247.33009 506.19766 192.08888 0.0002936114 115.95859 324.005 0.029033 881.453 275.760 0.00258366840 0.00484421058 0.0000932038 0.0000570490 7012681.501 6720297.355 6943040.666 249.93538 493.12937 190.85635 0.0002942528 120.24755 325.010 0.029123 880.325 275.563 0.00257190401 0.00488927697 0.0000930778 0.0000578011 6981252.382 6689778.047 6909372.946 252.55846 479.99282 189.64432 0.0002948789 124.41044 326.003 0.029212 879.226 275.373 0.00256006899 0.00493348999 0.0000929403 0.0000585425 6950717.947 6660176.373 6876639.361 255.16965 466.93809 188.46591 0.0002954828 128.40314 327.007 0.029302 878.130 275.185 0.00254790153 0.00497783891 0.0000927882 0.0000592897 6920390.719 6630824.885 6844104.492 257.82738 453.67477 187.29465 0.0002960780 132.31546 328.001 0.029391 877.064 275.003 0.00253567602 0.00502133414 0.0000926250 0.0000600259 6890943.287 6602373.585 6812491.361 260.47233 440.50047 186.15658 0.0002966509 136.06057 329.005 0.029481 876.002 274.824 0.00252312178 0.00506494918 0.0000924469 0.0000607674 6861712.479 6574180.796 6781089.453 263.16365 427.12200 185.02611 0.0002972143 139.72274 330.009 0.029571 874.956 274.650 0.00251037913 0.00510818945 0.0000922559 0.0000615056 6833030.737 6546567.055 6750256.900 265.87142 413.68990 183.91614 0.0002977615 143.25933 331.003 0.029660 873.939 274.482 0.00249759669 0.00515057718 0.0000920543 0.0000622322 6805206.116 6519827.207 6720326.480 268.56497 400.35704 182.83864 0.0002982865 146.63330 332.007 0.029750 872.927 274.317 0.00248449113 0.00519306145 0.0000918377 0.0000629634 6777611.771 6493357.952 6690625.137 271.30452 386.82653 181.76939 0.0002988010 149.92065 333.000 0.029839 871.944 274.157 0.00247135749 0.00523469490 0.0000916109 0.0000636825 6750859.323 6467745.107 6661812.337 274.02885 373.40167 180.73213 0.0002992934 153.04852 334.005 0.029929 870.966 274.001 0.00245790446 0.00527640995 0.0000913689 0.0000644057 6724345.945 6442410.666 6633239.935 276.79884 359.78343 179.70353 0.0002997745 156.08740 335.009 0.030019 870.006 273.849 0.00244428246 0.00531773361 0.0000911142 0.0000651244 6698373.557 6417643.117 6605234.061 279.58359 346.12499 178.69532 0.0003002387 159.00170 336.002 0.030108 869.074 273.703 0.00243064934 0.00535821034 0.0000908501 0.0000658307 6673220.072 6393705.820 6578095.653 282.35157 332.58130 177.71833 0.0003006808 161.76135 337.007 0.030198 868.148 273.560 0.00241670244 0.00539874694 0.0000905705 0.0000665402 6648318.516 6370058.408 6551213.939 285.16457 318.85052 176.75059 0.0003011108 164.42863 338.000 0.030287 867.250 273.423 0.00240275529 0.00543843997 0.0000902819 0.0000672369 6624220.539 6347223.968 6525185.317 287.95970 305.24019 175.81356 0.0003015188 166.94452 339.004 0.030377 866.359 273.289 0.00238849808 0.00547817885 0.0000899778 0.0000679362 6600382.852 6324686.929 6499423.819 290.79937 291.44689 174.88615 0.0003019140 169.36588 340.009 0.030467 865.486 273.159 0.00237409024 0.00551751285 0.0000896615 0.0000686300 6577077.401 6302704.507 6474223.907 293.65182 277.62577 173.97895 0.0003022915 171.66403 341.002 0.030556 864.640 273.035 0.00235969787 0.00555600931 0.0000893368 0.0000693106 6554552.538 6281509.354 6449855.101 296.48471 263.93318 173.10167 0.0003026474 173.81582 342.006 0.030646 863.802 272.914 0.00234500102 0.00559453105 0.0000889965 0.0000699930 6532300.300 6260622.775 6425768.573 299.36128 250.06373 172.23456 0.0003029895 175.86992 343.011 0.030736 862.982 272.798 0.00233016406 0.00563264102 0.0000886443 0.0000706693 6510574.911 6240283.578 6402239.971 302.24931 236.17343 171.38753 0.0003033137 177.80182 344.004 0.030825 862.189 272.687 0.00231535756 0.00566992052 0.0000882844 0.0000713320 6489607.250 6220706.333 6379520.180 305.11605 222.41919 170.56962 0.0003036164 179.59244 345.009 0.030915 861.405 272.580 0.00230025213 0.00570720524 0.0000879088 0.0000719956 6468924.348 6201448.769 6357097.315 308.02547 208.49411 169.76239 0.0003039045 181.28237 346.002 0.031004 860.647 272.478 0.00228518674 0.00574366466 0.0000875261 0.0000726453 6448984.075 6182936.559 6335468.327 310.91243 194.70980 168.98375 0.0003041714 182.83443 347.006 0.031094 859.899 272.379 0.00226982612 0.00578011619 0.0000871276 0.0000732955 6429336.567 6164751.421 6314145.796 313.84133 180.75864 168.21614 0.0003044231 184.28390 348.011 0.031184 859.169 272.285 0.00225434211 0.00581614595 0.0000867178 0.0000739386 6410206.994 6147102.089 6293374.411 316.77927 166.79756 167.46837 0.0003046563 185.61305 349.004 0.031273 858.465 272.197 0.00223891198 0.00585135881 0.0000863015 0.0000745673 6391797.586 6130173.582 6273374.420 319.69296 152.98393 166.74837 0.0003048688 186.80951 350.008 0.031363 857.771 272.111 0.00222319216 0.00588654431 0.0000858695 0.0000751957 6373692.923 6113583.307 6253694.968 322.64737 139.00938 166.03991 0.0003050652 187.90059 351.001 0.031452 857.103 272.031 0.00220753508 0.00592091883 0.0000854316 0.0000758096 6356293.653 6097697.828 6234771.975 325.57632 125.18647 165.35868 0.0003052411 188.86246 352.006 0.031542 856.445 271.955 0.00219159199 0.00595525315 0.0000849780 0.0000764225 6339207.099 6082158.068 6216178.780 328.54510 111.20656 164.68933 0.0003054005 189.71715 353.010 0.031632 855.806 271.883 0.00217554128 0.00598915697 0.0000845137 0.0000770274 6322629.932 6067143.373 6198129.604 331.52029 97.22697 164.03956 0.0003055411 190.45366 354.003 0.031721 855.192 271.816 0.00215956609 0.00602225911 0.0000840442 0.0000776175 6306736.271 6052809.856 6180814.560 334.46819 83.40496 163.41621 0.0003056617 191.06619 355.008 0.031811 854.590 271.753 0.00214331042 0.00605530184 0.0000835591 0.0000782059 6291167.352 6038833.441 6163843.144 337.45449 69.43185 162.80524 0.0003057649 191.56897 356.001 0.031900 854.013 271.695 0.00212713845 0.00608754929 0.0000830693 0.0000787792 6276267.603 6025522.814 6147591.127 340.41227 55.62006 162.22017 0.0003058485 191.95128 357.006 0.031990 853.447 271.641 0.00211068969 0.00611972454 0.0000825640 0.0000793503 6261700.658 6012576.972 6131691.923 343.40742 41.66110 161.64780 0.0003059143 192.22218 358.010 0.032080 852.900 271.592 0.00209414825 0.00615146125 0.0000820487 0.0000799125 6247635.211 6000146.498 6116329.770 346.40616 27.71210 161.09476 0.0003059612 192.37720 359.003 0.032169 852.378 271.547 0.00207770232 0.00618241254 0.0000815296 0.0000804594 6234217.766 5988359.181 6101665.127 349.37452 13.92973 160.56683 0.0003059890 192.41702 360.008 0.032259 851.868 271.506 0.00206098517 0.00621327235 0.0000809951 0.0000810032 6221145.377 5976948.393 6087367.147 352.37863 0.00612 160.05211 0.0003059983 192.34303 Engine speed (Hz) = 31.0000000000 Output power (W) = 5962.5884984721 Heat into heater (W) = 10923.7374580526 Heat to regenerator (W) = 0.1896228401 Heat removal from cooler (W) = 4961.6153172950 Approximate Pumping loss (W) = -2042.1698207692 Thermal efficiency (%) = 54.5837770394 The average engine pressure (Pa) = 8457731.2583782468 The exp space work per cycle (J) = 352.3522422715 The comp space work per cycle (J) = -160.0106778047 The net work per cycle (J) = 192.3415644668 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -931.5072213017 The expansion work for Vmin-to-Vmax (J) = 1123.8487857686 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 852.609 271.559 0.00206299691 0.00620800880 0.0000809991 0.0000809992 6232323.301 5973344.787 6090654.670 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000087 852.120 271.524 0.00204622994 0.00623841865 0.0000804564 0.0000815325 6219802.704 5962575.901 6076861.950 2.98925 -13.88763 -0.49654 0.0003059889 -0.19493 2.004 0.000174 851.650 271.494 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0.0000889988 0.0000304914 8512207.326 8200352.752 8510958.287 167.31782 890.24249 248.92524 0.0002634902 -113.34814 289.002 0.025087 930.249 285.786 0.00283131324 0.00309690141 0.0000893383 0.0000311724 8461188.985 8148527.058 8459174.401 169.27854 881.93070 247.06102 0.0002645107 -104.89885 290.004 0.025174 928.663 285.397 0.00282955839 0.00314950727 0.0000896658 0.0000318592 8410693.248 8097262.475 8407764.945 171.25398 873.41160 245.21028 0.0002655251 -96.55540 291.007 0.025261 927.087 285.015 0.00282744176 0.00320209114 0.0000899813 0.0000325516 8360721.866 8046564.304 8356743.479 173.24451 864.68980 243.37350 0.0002665330 -88.31918 292.009 0.025348 925.521 284.641 0.00282496735 0.00325463654 0.0000902846 0.0000332495 8311277.182 7996438.057 8306122.604 175.25052 855.76993 241.55115 0.0002675341 -80.19148 293.011 0.025435 923.965 284.274 0.00282213935 0.00330712760 0.0000905757 0.0000339525 8262361.839 7946889.101 8255914.133 177.27236 846.65664 239.74365 0.0002685282 -72.17356 294.002 0.025521 922.437 283.917 0.00281900056 0.00335894693 0.0000908513 0.0000346524 8214531.703 7898481.992 8206698.988 179.28687 837.46254 237.97190 0.0002695037 -64.35686 295.004 0.025608 920.902 283.563 0.00281548235 0.00341128494 0.0000911177 0.0000353651 8166677.215 7850095.587 8157343.038 181.34121 827.97841 236.19509 0.0002704828 -56.56073 296.006 0.025695 919.378 283.216 0.00281162371 0.00346352436 0.0000913717 0.0000360824 8119360.357 7802300.326 8108430.945 183.41237 818.31467 234.43425 0.0002714541 -48.87778 297.009 0.025782 917.865 282.875 0.00280742919 0.00351565132 0.0000916130 0.0000368040 8072583.787 7755099.979 8059972.107 185.50063 808.47590 232.68973 0.0002724170 -41.30903 298.011 0.025869 916.364 282.541 0.00280290338 0.00356765246 0.0000918417 0.0000375298 8026350.041 7708497.881 8011975.405 187.60626 798.46661 230.96185 0.0002733714 -33.85545 299.002 0.025955 914.891 282.216 0.00279810853 0.00361891953 0.0000920552 0.0000382510 7981183.556 7663022.269 7964992.810 189.70502 788.40919 229.27048 0.0002743062 -26.60165 300.004 0.026042 913.413 281.894 0.00279293777 0.00367063243 0.0000922585 0.0000389842 7936036.154 7617618.065 7917939.551 191.84595 778.07415 227.57656 0.0002752428 -19.37979 301.006 0.026129 911.947 281.577 0.00278744965 0.00372218211 0.0000924490 0.0000397209 7891438.219 7572819.658 7871372.135 194.00495 767.58186 225.90014 0.0002761699 -12.27570 302.008 0.026216 910.493 281.266 0.00278164889 0.00377355690 0.0000926265 0.0000404608 7847391.626 7528628.833 7825297.603 196.18223 756.93669 224.24145 0.0002770873 -5.29016 303.011 0.026303 909.051 280.961 0.00277554020 0.00382474555 0.0000927911 0.0000412037 7803898.072 7485047.037 7779722.575 198.37796 746.14292 222.60075 0.0002779948 1.57612 304.001 0.026389 907.639 280.665 0.00276920369 0.00387515224 0.0000929410 0.0000419408 7761449.465 7442565.857 7735168.411 200.56673 735.33132 220.99680 0.0002788818 8.24558 305.004 0.026476 906.223 280.371 0.00276249668 0.00392593884 0.0000930796 0.0000426890 7719059.948 7400198.185 7690604.739 202.79959 724.25459 219.39251 0.0002797686 14.87271 306.006 0.026563 904.821 280.083 0.00275549583 0.00397650796 0.0000932051 0.0000434395 7677227.456 7358442.056 7646558.005 205.05132 713.04176 217.80683 0.0002806446 21.37868 307.008 0.026650 903.432 279.800 0.00274820584 0.00402684986 0.0000933175 0.0000441920 7635952.968 7317297.762 7603033.297 207.32200 701.69689 216.23994 0.0002815095 27.76294 308.010 0.026737 902.056 279.522 0.00274063139 0.00407695517 0.0000934167 0.0000449464 7595237.292 7276765.355 7560035.357 209.61173 690.22401 214.69201 0.0002823631 34.02499 309.001 0.026823 900.709 279.252 0.00273286903 0.00412624317 0.0000935018 0.0000456938 7555539.456 7237300.040 7518053.679 211.89391 678.76104 213.18067 0.0002831956 40.09449 310.003 0.026910 899.361 278.985 0.00272474284 0.00417585149 0.0000935747 0.0000464512 7515936.731 7197983.631 7476115.986 214.22166 667.04526 211.67091 0.0002840259 46.11216 311.005 0.026997 898.027 278.722 0.00271634613 0.00422519722 0.0000936343 0.0000472097 7476894.264 7159277.949 7434717.267 216.56859 655.21310 210.18056 0.0002848441 52.00635 312.008 0.027084 896.707 278.465 0.00270768352 0.00427427229 0.0000936807 0.0000479692 7438412.232 7121182.218 7393860.991 218.93468 643.26835 208.70973 0.0002856499 57.77670 313.010 0.027171 895.401 278.213 0.00269875960 0.00432306898 0.0000937138 0.0000487294 7400490.666 7083695.487 7353550.338 221.31993 631.21470 207.25855 0.0002864432 63.42288 314.001 0.027257 894.125 277.968 0.00268968591 0.00437102389 0.0000937334 0.0000494813 7363555.718 7047237.090 7314242.118 223.69657 619.19619 205.84345 0.0002872147 68.88187 315.003 0.027344 892.849 277.726 0.00268025593 0.00441924519 0.0000937400 0.0000502422 7326748.200 7010957.909 7275024.798 226.11980 606.93686 204.43163 0.0002879822 74.28036 316.005 0.027431 891.588 277.488 0.00267057821 0.00446716672 0.0000937333 0.0000510031 7290500.449 6975283.970 7236360.990 228.56205 594.57943 203.03973 0.0002887364 79.55396 317.007 0.027518 890.341 277.255 0.00266065723 0.00451478190 0.0000937133 0.0000517637 7254811.981 6940213.750 7198252.830 231.02322 582.12739 201.66784 0.0002894770 84.70247 318.010 0.027605 889.110 277.027 0.00265049745 0.00456208439 0.0000936800 0.0000525239 7219682.201 6905745.604 7160702.221 233.50321 569.58416 200.31602 0.0002902039 89.72574 319.000 0.027691 887.909 276.807 0.00264022405 0.00460852991 0.0000936340 0.0000532747 7185504.616 6872263.662 7124132.845 235.97308 557.09881 198.99952 0.0002909087 94.56807 320.003 0.027778 886.708 276.588 0.00262960247 0.00465519283 0.0000935743 0.0000540332 7151483.600 6838987.443 7087695.702 238.49012 544.38427 197.68778 0.0002916075 99.34196 321.005 0.027865 885.523 276.374 0.00261875516 0.00470152564 0.0000935013 0.0000547906 7118018.874 6806307.778 7051820.492 241.02557 531.58848 196.39628 0.0002922920 103.99034 322.007 0.027952 884.354 276.165 0.00260768643 0.00474752299 0.0000934151 0.0000555467 7085109.445 6774222.644 7016508.280 243.57927 518.71467 195.12504 0.0002929618 108.51314 323.009 0.028039 883.201 275.960 0.00259640056 0.00479317974 0.0000933157 0.0000563010 7052754.238 6742729.947 6981759.945 246.15102 505.76599 193.87410 0.0002936167 112.91037 324.000 0.028125 882.077 275.763 0.00258503512 0.00483797213 0.0000932044 0.0000570449 7021314.502 6712179.379 6947965.893 248.71075 492.89562 192.65751 0.0002942494 117.13363 325.002 0.028212 880.956 275.567 0.00257332996 0.00488293718 0.0000930788 0.0000577954 6990057.862 6681858.260 6914340.746 251.31779 479.80726 191.44701 0.0002948742 121.28118 326.004 0.028299 879.851 275.376 0.00256142017 0.00492754752 0.0000929401 0.0000585436 6959351.777 6652122.942 6881281.076 253.94223 466.65318 190.25686 0.0002954837 125.30326 327.007 0.028386 878.763 275.190 0.00254930986 0.00497179882 0.0000927883 0.0000592892 6929194.883 6622971.106 6848787.108 256.58384 453.43634 189.08707 0.0002960775 129.19992 328.009 0.028473 877.691 275.008 0.00253700310 0.00501568694 0.0000926236 0.0000600320 6899585.760 6594400.388 6816858.920 259.24233 440.15964 187.93766 0.0002966556 132.97128 329.011 0.028560 876.635 274.831 0.00252450392 0.00505920791 0.0000924458 0.0000607719 6870522.934 6566408.394 6785496.457 261.91745 426.82594 186.80861 0.0002972177 136.61746 330.002 0.028646 875.608 274.661 0.00251196318 0.00510186406 0.0000922574 0.0000615001 6842329.584 6539304.555 6755050.312 264.57786 413.59223 185.71255 0.0002977575 140.09883 331.004 0.028733 874.586 274.492 0.00249909316 0.00514464379 0.0000920540 0.0000622333 6814348.496 6512456.125 6724812.136 267.28515 400.15350 184.62398 0.0002982873 143.49652 332.006 0.028820 873.581 274.329 0.00248604249 0.00518704546 0.0000918378 0.0000629628 6786909.018 6486179.105 6695138.789 270.00814 386.66603 183.55574 0.0002988007 146.76951 333.009 0.028907 872.593 274.170 0.00247281505 0.00522906573 0.0000916089 0.0000636885 6760009.504 6460471.013 6666029.753 272.74651 373.13251 182.50781 0.0002992974 149.91798 334.011 0.028994 871.621 274.015 0.00245941465 0.00527070139 0.0000913674 0.0000644101 6733648.275 6435329.357 6637484.411 275.49992 359.55555 181.48018 0.0002997774 152.94216 335.002 0.029080 870.678 273.866 0.00244600199 0.00531147747 0.0000911162 0.0000651191 6708117.417 6411030.949 6609820.494 278.23610 346.09451 180.48428 0.0003002352 155.80965 336.004 0.029167 869.741 273.721 0.00243226884 0.00535233931 0.0000908497 0.0000658318 6682821.475 6387008.236 6582393.869 281.01833 332.43885 179.49692 0.0003006814 158.58738 337.006 0.029254 868.821 273.579 0.00241837390 0.00539280772 0.0000905708 0.0000665397 6658058.648 6363544.498 6555528.573 283.81449 318.74738 178.52977 0.0003011105 161.24155 338.008 0.029341 867.918 273.442 0.00240432080 0.00543287998 0.0000902795 0.0000672427 6633827.166 6340637.246 6529223.664 286.62419 305.02256 177.58279 0.0003015221 163.77244 339.011 0.029428 867.033 273.310 0.00239011317 0.00547255348 0.0000899759 0.0000679404 6610125.247 6318284.001 6503478.130 289.44702 291.26682 176.65595 0.0003019163 166.18034 340.001 0.029514 866.176 273.183 0.00237592046 0.00551137658 0.0000896640 0.0000686248 6587214.476 6296729.766 6478577.245 292.24991 277.64113 175.75952 0.0003022888 168.43998 341.004 0.029601 865.325 273.060 0.00236141610 0.00555024976 0.0000893364 0.0000693116 6564560.261 6275470.852 6453940.803 295.09761 263.83097 174.87261 0.0003026479 170.60424 342.006 0.029688 864.493 272.941 0.00234676775 0.00558871695 0.0000889968 0.0000699925 6542430.235 6254758.624 6429860.386 297.95718 249.99692 174.00571 0.0003029893 172.64645 343.008 0.029775 863.678 272.826 0.00233197887 0.00562677589 0.0000886453 0.0000706674 6520822.592 6234590.670 6406334.775 300.82816 236.14126 173.15879 0.0003033128 174.56697 344.010 0.029862 862.881 272.716 0.00231705284 0.00566442443 0.0000882822 0.0000713360 6499735.532 6214964.604 6383362.719 303.71010 222.26626 172.33180 0.0003036182 176.36614 345.001 0.029948 862.110 272.611 0.00230216691 0.00570123481 0.0000879117 0.0000719907 6479400.734 6196094.397 6361197.495 306.56922 208.53388 171.53385 0.0003039024 178.02574 346.003 0.030035 861.349 272.510 0.00228697818 0.00573806108 0.0000875255 0.0000726463 6459343.524 6177538.898 6339322.330 309.47154 194.62695 170.74634 0.0003041718 179.58472 347.005 0.030122 860.605 272.413 0.00227166228 0.00577447087 0.0000871279 0.0000732950 6439801.554 6159518.325 6317996.792 312.38339 180.70720 169.97862 0.0003044229 181.02348 348.008 0.030209 859.880 272.320 0.00225622247 0.00581046225 0.0000867190 0.0000739367 6420773.060 6142030.411 6297219.524 315.30427 166.77676 169.23064 0.0003046557 182.34241 349.010 0.030296 859.172 272.232 0.00224066196 0.00584603337 0.0000862989 0.0000745712 6402256.293 6125072.925 6276989.152 318.23369 152.83772 168.50235 0.0003048701 183.54193 350.001 0.030382 858.490 272.149 0.00222516481 0.00588078080 0.0000858728 0.0000751910 6384453.605 6108829.524 6257527.463 321.13730 139.05250 167.80173 0.0003050638 184.61070 351.003 0.030469 857.819 272.070 0.00220937374 0.00591551086 0.0000854309 0.0000758105 6366949.288 6092920.317 6238380.486 324.08214 125.10251 167.11244 0.0003052414 185.57399 352.005 0.030556 857.165 271.995 0.00219347139 0.00594981535 0.0000849783 0.0000764221 6349951.590 6077535.100 6219776.260 327.03394 111.15006 166.44268 0.0003054004 186.41914 353.007 0.030643 856.530 271.925 0.00217746084 0.00598369254 0.0000845150 0.0000770257 6333458.849 6062671.797 6201713.399 329.99217 97.19713 165.79242 0.0003055407 187.14657 354.010 0.030730 855.913 271.859 0.00216134516 0.00601714075 0.0000840412 0.0000776211 6317469.430 6048328.378 6184190.519 332.95627 83.24570 165.16160 0.0003056624 187.75673 355.000 0.030816 855.321 271.798 0.00214531433 0.00604978128 0.0000835628 0.0000782015 6302156.903 6034658.837 6167398.414 335.89155 69.45802 164.55708 0.0003057642 188.24508 356.003 0.030903 854.740 271.741 0.00212899851 0.00608237156 0.0000830686 0.0000787801 6287163.602 6021343.355 6150945.225 338.86569 55.51537 163.96477 0.0003058486 188.62342 357.005 0.030990 854.178 271.688 0.00211258647 0.00611452797 0.0000825643 0.0000793499 6272668.921 6008541.959 6135027.956 341.84403 41.58000 163.39175 0.0003059142 188.88589 358.007 0.031077 853.634 271.640 0.00209608115 0.00614624886 0.0000820502 0.0000799109 6258671.352 5996252.802 6119645.285 344.82598 27.65381 162.83797 0.0003059611 189.03294 359.009 0.031164 853.109 271.596 0.00207948543 0.00617753264 0.0000815264 0.0000804627 6245169.425 5984474.085 6104795.911 347.81098 13.73868 162.30339 0.0003059891 189.06507 360.000 0.031250 852.608 271.557 0.00206299445 0.00620802565 0.0000809991 0.0000809992 6232308.423 5973330.718 6090640.109 350.76406 -0.00380 161.79378 0.0003059983 188.98437 Engine speed (Hz) = 32.0000000000 Output power (W) = 6047.4487413411 Heat into heater (W) = 11224.4499580246 Heat to regenerator (W) = -0.1217191457 Heat removal from cooler (W) = 5177.4010410700 Approximate Pumping loss (W) = -2231.3038236095 Thermal efficiency (%) = 53.8774618262 The average engine pressure (Pa) = 8459076.7196683884 The exp space work per cycle (J) = 350.7320279360 The comp space work per cycle (J) = -161.7492547691 The net work per cycle (J) = 188.9827731669 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -933.1875969856 The expansion work for Vmin-to-Vmax (J) = 1122.1703701525 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 853.358 271.610 0.00206475328 0.00620317560 0.0000809935 0.0000810048 6243544.279 5969405.910 6093765.287 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.008 0.000085 852.874 271.577 0.00204805571 0.00623350623 0.0000804530 0.0000815357 6231116.094 5958802.264 6079982.509 2.96594 -13.83682 -0.49618 0.0003059888 -0.20313 2.006 0.000169 852.407 271.548 0.00203127600 0.00626339973 0.0000799034 0.0000820572 6219172.898 5948698.727 6066724.706 5.93316 -27.65789 -0.97346 0.0003059606 -0.51876 3.004 0.000253 851.959 271.523 0.00201441691 0.00629285445 0.0000793448 0.0000825690 6207713.405 5939093.721 6053990.746 8.90106 -41.46138 -1.43188 0.0003059137 -0.94638 4.002 0.000337 851.529 271.503 0.00199748120 0.00632186872 0.0000787773 0.0000830709 6196736.373 5929985.722 6041779.529 11.86904 -55.24551 -1.87149 0.0003058483 -1.48548 5.000 0.000421 851.118 271.488 0.00198047160 0.00635044088 0.0000782012 0.0000835630 6186240.609 5921373.254 6030089.998 14.83648 -69.00848 -2.29231 0.0003057642 -2.13556 6.010 0.000506 850.720 271.477 0.00196318705 0.00637890138 0.0000776096 0.0000840506 6176108.619 5913161.218 6018791.305 17.83805 -82.91193 -2.69906 0.0003056602 -2.90581 7.008 0.000590 850.346 271.470 0.00194603696 0.00640657885 0.0000770166 0.0000845221 6166577.695 5905541.455 6008148.317 20.80251 -96.62693 -3.08221 0.0003055387 -3.77759 8.006 0.000674 849.990 271.468 0.00192882107 0.00643380899 0.0000764155 0.0000849833 6157524.734 5898413.096 5998024.085 23.76452 -110.31541 -3.44668 0.0003053987 -4.75877 9.004 0.000758 849.652 271.470 0.00191154204 0.00646059003 0.0000758064 0.0000854339 6148948.743 5891774.875 5988417.730 26.72346 -123.97563 -3.79251 0.0003052403 -5.84881 10.002 0.000842 849.333 271.477 0.00189420248 0.00648692016 0.0000751896 0.0000858738 6140848.780 5885625.576 5979328.423 29.67867 -137.60581 -4.11973 0.0003050634 -7.04719 11.011 0.000927 849.029 271.488 0.00187659759 0.00651310284 0.0000745577 0.0000863080 6133136.045 5879899.571 5970656.435 32.66461 -151.36589 -4.43192 0.0003048657 -8.36956 12.009 0.001011 848.746 271.504 0.00185914421 0.00653852011 0.0000739259 0.0000867260 6125991.177 5874730.467 5962605.086 35.61034 -164.93033 -4.72177 0.0003046519 -9.78425 13.007 0.001095 848.483 271.524 0.00184163816 0.00656348076 0.0000732868 0.0000871330 6119319.837 5870046.939 5955068.616 38.55037 -178.45946 -4.99308 0.0003044198 -11.30562 14.005 0.001179 848.238 271.548 0.00182408203 0.00658798281 0.0000726408 0.0000875288 6113121.312 5865847.977 5948046.420 41.48401 -191.95154 -5.24588 0.0003041696 -12.93313 15.003 0.001263 848.011 271.577 0.00180647837 0.00661202423 0.0000719880 0.0000879133 6107394.948 5862132.624 5941537.953 44.41061 -205.40479 -5.48018 0.0003039013 -14.66620 16.001 0.001347 847.803 271.611 0.00178882975 0.00663560295 0.0000713286 0.0000882863 6102140.150 5858899.968 5935542.732 47.32946 -218.81749 -5.69601 0.0003036149 -16.50429 17.011 0.001432 847.611 271.649 0.00177092785 0.00665898919 0.0000706548 0.0000886521 6097302.274 5856119.302 5929998.159 50.27450 -232.34677 -5.89562 0.0003033068 -18.47056 18.009 0.001516 847.440 271.692 0.00175319648 0.00668163046 0.0000699827 0.0000890018 6092994.679 5853855.234 5925034.338 53.17571 -245.67253 -6.07431 0.0003029845 -20.51817 19.007 0.001600 847.288 271.739 0.00173542780 0.00670380243 0.0000693046 0.0000893397 6089157.245 5852071.418 5920582.700 56.06710 -258.95243 -6.23457 0.0003026444 -22.66906 20.004 0.001684 847.154 271.790 0.00171762432 0.00672550277 0.0000686208 0.0000896658 6085789.635 5850767.139 5916643.030 58.94798 -272.18469 -6.37640 0.0003022866 -24.92263 21.002 0.001768 847.039 271.846 0.00169978859 0.00674672912 0.0000679313 0.0000899800 6082891.579 5849941.724 5913215.181 61.81763 -285.36755 -6.49980 0.0003019113 -27.27832 22.000 0.001852 846.943 271.906 0.00168192312 0.00676747902 0.0000672365 0.0000902821 6080462.877 5849594.546 5910299.078 64.67534 -298.49922 -6.60478 0.0003015186 -29.73551 23.010 0.001937 846.864 271.971 0.00166381725 0.00678798839 0.0000665282 0.0000905754 6078482.897 5849729.448 5907869.178 67.55419 -311.73328 -6.69226 0.0003011036 -32.32467 24.008 0.002021 846.805 272.040 0.00164589956 0.00680777204 0.0000658233 0.0000908529 6076998.165 5850342.708 5905982.732 70.38571 -324.75652 -6.76017 0.0003006762 -34.98428 25.006 0.002105 846.764 272.114 0.00162795970 0.00682707144 0.0000651136 0.0000911182 6075982.607 5851432.571 5904608.256 73.20311 -337.72315 -6.80965 0.0003002318 -37.74358 26.004 0.002189 846.743 272.192 0.00161000018 0.00684588387 0.0000643994 0.0000913710 6075436.309 5852998.571 5903745.977 76.00568 -350.63135 -6.84070 0.0002997704 -40.60195 27.002 0.002273 846.740 272.275 0.00159202353 0.00686420649 0.0000636809 0.0000916114 6075359.431 5855040.284 5903396.203 78.79267 -363.47926 -6.85329 0.0002992923 -43.55879 28.012 0.002358 846.755 272.363 0.00157381801 0.00688224569 0.0000629497 0.0000918418 6075759.716 5857590.143 5903564.353 81.59622 -376.41689 -6.84723 0.0002987916 -46.65042 29.010 0.002442 846.790 272.454 0.00155581452 0.00689957400 0.0000622232 0.0000920569 6076628.062 5860587.791 5904246.946 84.34961 -389.13793 -6.82266 0.0002982801 -49.80347 30.007 0.002526 846.843 272.550 0.00153780150 0.00691640351 0.0000614931 0.0000922592 6077966.777 5864060.069 5905443.457 87.08519 -401.79309 -6.77959 0.0002977524 -53.05307 31.005 0.002610 846.915 272.650 0.00151978148 0.00693273105 0.0000607596 0.0000924489 6079776.334 5868006.678 5907154.525 89.80219 -414.38046 -6.71799 0.0002972085 -56.39860 32.003 0.002694 847.005 272.755 0.00150175701 0.00694855336 0.0000600229 0.0000926257 6082057.288 5872427.343 5909380.872 92.49986 -426.89814 -6.63784 0.0002966486 -59.83941 33.001 0.002778 847.114 272.864 0.00148373063 0.00696386709 0.0000592832 0.0000927896 6084810.279 5877321.813 5912123.309 95.17743 -439.34420 -6.53911 0.0002960728 -63.37485 34.011 0.002863 847.244 272.979 0.00146549033 0.00697884191 0.0000585320 0.0000929424 6088077.281 5882756.614 5915424.655 97.86564 -451.86353 -6.42026 0.0002954743 -67.04802 35.009 0.002947 847.391 273.097 0.00144746788 0.00699312188 0.0000577870 0.0000930803 6091782.243 5888603.648 5919208.231 100.50046 -464.15956 -6.28405 0.0002948673 -70.77183 36.007 0.003031 847.556 273.220 0.00142945127 0.00700688258 0.0000570397 0.0000932053 6095961.685 5894923.833 5923510.880 103.11285 -476.37804 -6.12916 0.0002942450 -74.58826 37.005 0.003115 847.741 273.346 0.00141144309 0.00702012025 0.0000562904 0.0000933172 6100616.597 5901716.972 5928333.778 105.70206 -488.51694 -5.95553 0.0002936076 -78.49663 38.003 0.003199 847.944 273.478 0.00139344596 0.00703283102 0.0000555393 0.0000934160 6105748.060 5908982.872 5933678.197 108.26729 -500.57424 -5.76314 0.0002929553 -82.49625 39.001 0.003283 848.165 273.613 0.00137546249 0.00704501091 0.0000547865 0.0000935018 6111357.254 5916721.340 5939545.508 110.80775 -512.54787 -5.55191 0.0002922883 -86.58643 40.010 0.003368 848.409 273.755 0.00135728154 0.00705679123 0.0000540234 0.0000935752 6117520.822 5925032.764 5946016.437 113.35244 -524.57673 -5.31896 0.0002915985 -90.81677 41.008 0.003452 848.669 273.899 0.00133933358 0.00706789052 0.0000532681 0.0000936345 6124095.128 5933721.363 5952940.318 115.84068 -536.37567 -5.06970 0.0002909025 -95.08701 42.006 0.003536 848.947 274.048 0.00132140729 0.00707844624 0.0000525118 0.0000936806 6131151.312 5942881.870 5960391.836 118.30177 -548.08457 -4.80144 0.0002901925 -99.44568 43.004 0.003620 849.245 274.201 0.00130350536 0.00708845391 0.0000517549 0.0000937136 6138690.961 5952514.018 5968372.783 120.73490 -559.70125 -4.51413 0.0002894685 -103.89203 44.002 0.003704 849.561 274.359 0.00128563051 0.00709790894 0.0000509976 0.0000937334 6146715.773 5962617.500 5976885.066 123.13927 -571.22352 -4.20769 0.0002887310 -108.42535 45.000 0.003788 849.896 274.521 0.00126778548 0.00710680659 0.0000502400 0.0000937400 6155227.564 5973191.960 5985930.710 125.51406 -582.64914 -3.88204 0.0002879800 -113.04488 46.010 0.003873 850.254 274.689 0.00124976119 0.00711523778 0.0000494733 0.0000937332 6164338.373 5984371.299 5995629.165 127.88619 -594.11008 -3.53290 0.0002872066 -117.80640 47.008 0.003957 850.627 274.859 0.00123198455 0.00712299903 0.0000487160 0.0000937133 6173835.918 5995891.970 6005754.542 130.19901 -605.33433 -3.16839 0.0002864293 -122.59709 48.006 0.004041 851.019 275.034 0.00121424612 0.00713018768 0.0000479591 0.0000936802 6183826.673 6007882.099 6016420.184 132.47980 -616.45497 -2.78442 0.0002856392 -127.47169 49.004 0.004125 851.430 275.213 0.00119654875 0.00713679830 0.0000472029 0.0000936338 6194312.992 6020340.967 6027628.682 134.72773 -627.46962 -2.38092 0.0002848367 -132.42942 50.001 0.004209 851.860 275.396 0.00117889531 0.00714282530 0.0000464476 0.0000935744 6205297.390 6033267.706 6039382.807 136.94196 -638.37584 -1.95777 0.0002840219 -137.46948 51.011 0.004294 852.315 275.586 0.00116107939 0.00714832399 0.0000456845 0.0000935008 6216922.316 6046823.511 6051835.304 139.14738 -649.29897 -1.50948 0.0002831853 -142.65253 52.009 0.004378 852.783 275.777 0.00114352317 0.00715315882 0.0000449317 0.0000934149 6228917.170 6060688.109 6064696.409 141.29126 -659.97944 -1.04648 0.0002823466 -147.85578 53.007 0.004462 853.271 275.973 0.00112601974 0.00715739155 0.0000441806 0.0000933159 6241418.862 6075016.584 6078112.840 143.39889 -670.54379 -0.56349 0.0002814965 -153.13890 54.005 0.004546 853.777 276.173 0.00110857213 0.00716101538 0.0000434313 0.0000932038 6254430.808 6089806.896 6092088.441 145.46940 -680.98934 -0.06037 0.0002806351 -158.50104 55.003 0.004630 854.303 276.377 0.00109118341 0.00716402294 0.0000426841 0.0000930787 6267956.776 6105056.409 6106627.534 147.50189 -691.31327 0.46304 0.0002797628 -163.94135 56.001 0.004714 854.848 276.585 0.00107385673 0.00716640614 0.0000419391 0.0000929406 6282000.997 6120761.605 6121735.125 149.49547 -701.51264 1.00691 0.0002788798 -169.45896 57.011 0.004799 855.420 276.799 0.00105639024 0.00716817266 0.0000411879 0.0000927877 6296744.966 6137112.528 6137607.515 151.47217 -711.70340 1.57832 0.0002779756 -175.12003 58.009 0.004883 856.004 277.014 0.00103919829 0.00716926929 0.0000404482 0.0000926236 6311847.817 6153716.520 6153879.601 153.38442 -721.64218 2.16412 0.0002770719 -180.79045 59.007 0.004967 856.608 277.234 0.00102207862 0.00716970214 0.0000397116 0.0000924467 6327488.215 6170746.642 6170749.663 155.25441 -731.44494 2.77144 0.0002761582 -186.53547 60.004 0.005051 857.232 277.458 0.00100503472 0.00716949797 0.0000389781 0.0000922569 6343673.419 6188257.961 6188187.159 157.08247 -741.11352 3.39590 0.0002752350 -192.35415 61.002 0.005135 857.874 277.689 0.00098806571 0.00716874223 0.0000382480 0.0000920544 6360371.696 6206389.223 6206106.564 158.87156 -750.66064 4.02926 0.0002743024 -198.24558 62.000 0.005219 858.534 277.928 0.00097117128 0.00716742509 0.0000375216 0.0000918392 6377553.335 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6616353.219 183.70819 -899.25728 17.39778 0.0002562176 -315.79439 80.010 0.006735 873.158 283.449 0.00068271584 0.00704060663 0.0000252830 0.0000858686 6766855.681 6670113.215 6644352.588 184.64243 -906.08249 18.28274 0.0002551515 -322.95073 81.008 0.006819 874.114 283.820 0.00066789238 0.00702753996 0.0000246662 0.0000854285 6792875.475 6700783.054 6672549.013 185.51374 -912.64883 19.17457 0.0002540948 -330.07323 82.006 0.006903 875.085 284.197 0.00065321873 0.00701380519 0.0000240573 0.0000849778 6819372.031 6732096.975 6701269.420 186.33289 -919.03441 20.08413 0.0002530351 -337.24447 83.004 0.006987 876.070 284.581 0.00063869935 0.00699939729 0.0000234562 0.0000845165 6846346.847 6764056.771 6730514.383 187.09938 -925.23598 21.01200 0.0002519728 -344.46311 84.002 0.007071 877.070 284.972 0.00062433875 0.00698431126 0.0000228633 0.0000840449 6873801.430 6796664.173 6760284.403 187.81271 -931.25027 21.95877 0.0002509082 -351.72776 85.012 0.007156 878.097 285.373 0.00060997347 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200.84969 0.0002909087 91.43881 320.010 0.026937 887.313 276.582 0.00263070480 0.00464946859 0.0000935738 0.0000540390 7159396.190 6829710.197 7092368.365 237.25159 544.13951 199.52751 0.0002916128 96.24085 321.008 0.027021 886.138 276.370 0.00261993915 0.00469558267 0.0000935011 0.0000547931 7126196.384 6797310.944 7056631.745 239.76608 531.42145 198.24099 0.0002922942 100.86120 322.006 0.027105 884.978 276.163 0.00260895337 0.00474136658 0.0000934152 0.0000555458 7093545.628 6765501.492 7021451.456 242.29856 518.62535 196.97450 0.0002929610 105.35707 323.004 0.027189 883.835 275.961 0.00259775166 0.00478681523 0.0000933162 0.0000562970 7061442.795 6734279.682 6986828.417 244.84886 505.75431 195.72807 0.0002936132 109.72843 324.002 0.027273 882.707 275.763 0.00258633814 0.00483192375 0.0000932042 0.0000570463 7029886.681 6703643.292 6952763.374 247.41677 492.81139 194.50173 0.0002942505 113.97529 325.012 0.027358 881.582 275.568 0.00257457735 0.00487721826 0.0000930776 0.0000578024 6998510.120 6673235.774 6918861.386 250.03297 479.64428 193.28126 0.0002948800 118.14601 326.010 0.027442 880.487 275.379 0.00256275011 0.00492162848 0.0000929394 0.0000585473 6968050.035 6643770.252 6885920.574 252.63568 466.56578 192.09539 0.0002954867 122.14252 327.007 0.027526 879.408 275.195 0.00255072331 0.00496568506 0.0000927882 0.0000592897 6938132.649 6614883.161 6853539.038 255.25533 453.42429 190.92965 0.0002960780 126.01469 328.005 0.027610 878.345 275.015 0.00253850096 0.00500938387 0.0000926242 0.0000600294 6908756.514 6586572.098 6821716.911 257.89166 440.22268 189.78406 0.0002966535 129.76263 329.003 0.027694 877.298 274.840 0.00252608698 0.00505272096 0.0000924473 0.0000607661 6879920.129 6558834.634 6790454.189 260.54441 426.96375 188.65860 0.0002972133 133.38645 330.001 0.027778 876.268 274.670 0.00251348530 0.00509569256 0.0000922575 0.0000614995 6851621.947 6531668.314 6759750.749 263.21330 413.65027 187.55327 0.0002977571 136.88629 331.011 0.027863 875.242 274.502 0.00250054649 0.00513879996 0.0000920526 0.0000622383 6823533.113 6504757.438 6729250.847 265.93009 400.12555 186.45528 0.0002982909 140.30176 332.009 0.027947 874.246 274.340 0.00248757885 0.00518102536 0.0000918373 0.0000629647 6796312.900 6478732.690 6699671.770 268.63053 386.71052 185.39043 0.0002988019 143.55266 333.007 0.028031 873.266 274.183 0.00247443505 0.00522287479 0.0000916093 0.0000636872 6769626.002 6453271.589 6670650.907 271.34618 373.24901 184.34568 0.0002992966 146.68011 334.005 0.028115 872.303 274.030 0.00246111883 0.00526434502 0.0000913689 0.0000644057 6743470.732 6428371.629 6642187.700 274.07671 359.74360 183.32100 0.0002997745 149.68433 335.003 0.028199 871.357 273.882 0.00244763390 0.00530543301 0.0000911159 0.0000651198 6717845.377 6404030.302 6614281.501 276.82175 346.19685 182.31638 0.0003002357 152.56552 336.001 0.028283 870.427 273.738 0.00243398393 0.00534613580 0.0000908506 0.0000658295 6692748.203 6380245.099 6586931.579 279.58096 332.61126 181.33178 0.0003006800 155.32395 337.010 0.028368 869.504 273.597 0.00242000719 0.00538692816 0.0000905695 0.0000665427 6667888.112 6356740.277 6559821.482 282.38706 318.82694 180.35582 0.0003011123 157.99051 338.008 0.028452 868.610 273.463 0.00240603615 0.00542684750 0.0000902795 0.0000672427 6643848.263 6334066.373 6533588.207 285.17363 305.17066 179.41142 0.0003015221 160.50273 339.006 0.028536 867.732 273.332 0.00239191089 0.00546637346 0.0000899773 0.0000679374 6620331.276 6311941.088 6507908.557 287.97320 291.48288 178.48695 0.0003019147 162.89300 340.004 0.028620 866.872 273.206 0.00237763493 0.00550550351 0.0000896630 0.0000686268 6597335.362 6290361.957 6482781.524 290.78539 277.76595 177.58238 0.0003022898 165.16162 341.002 0.028704 866.029 273.084 0.00236321173 0.00554423522 0.0000893368 0.0000693106 6574858.731 6269326.532 6458206.048 293.60976 264.02219 176.69766 0.0003026474 167.30890 342.000 0.028788 865.203 272.967 0.00234864474 0.00558256626 0.0000889988 0.0000699886 6552899.587 6248832.386 6434181.016 296.44589 250.25389 175.83276 0.0003029874 169.33517 343.010 0.028873 864.386 272.853 0.00233376143 0.00562094347 0.0000886447 0.0000706686 6531203.958 6228642.790 6410429.104 299.32730 236.29902 174.97769 0.0003033133 171.26272 344.008 0.028957 863.596 272.745 0.00231891539 0.00565846165 0.0000882831 0.0000713344 6510280.520 6209230.393 6387507.977 302.18576 222.48815 174.15253 0.0003036175 173.04655 345.006 0.029041 862.823 272.641 0.00230393568 0.00569557259 0.0000879099 0.0000719937 6489869.183 6190352.117 6365133.706 305.05462 208.65945 173.34706 0.0003039037 174.71042 346.004 0.029125 862.068 272.541 0.00228882557 0.00573227425 0.0000875254 0.0000726465 6469968.173 6172005.645 6343305.035 307.93343 194.81507 172.56123 0.0003041719 176.25470 347.001 0.029209 861.331 272.446 0.00227358833 0.00576856464 0.0000871295 0.0000732925 6450575.726 6154188.690 6322020.684 310.82170 180.95714 171.79499 0.0003044219 177.67976 348.011 0.029294 860.602 272.354 0.00225804355 0.00580486645 0.0000867175 0.0000739390 6431468.311 6136696.340 6301035.701 313.75350 166.92260 171.03953 0.0003046565 179.00084 349.009 0.029378 859.901 272.268 0.00224256021 0.00584032361 0.0000862992 0.0000745707 6413093.766 6119937.940 6280842.521 316.65934 153.04377 170.31258 0.0003048699 180.18726 350.007 0.029462 859.217 272.186 0.00222695932 0.00587536383 0.0000858700 0.0000751950 6395222.572 6103702.388 6261189.708 319.57315 139.15765 169.60508 0.0003050650 181.25566 351.005 0.029546 858.551 272.109 0.00221124397 0.00590998533 0.0000854300 0.0000758118 6377853.037 6087987.546 6242075.931 322.49442 125.26627 168.91698 0.0003052417 182.20648 352.003 0.029630 857.903 272.035 0.00219541725 0.00594418634 0.0000849793 0.0000764208 6360983.492 6072791.318 6223499.855 325.42263 111.37164 168.24824 0.0003054000 183.04013 353.001 0.029714 857.273 271.967 0.00217948220 0.00597796513 0.0000845180 0.0000770218 6344612.294 6058111.649 6205460.148 328.35726 97.47573 167.59881 0.0003055399 183.75706 354.011 0.029799 856.654 271.902 0.00216325027 0.00601171452 0.0000840407 0.0000776218 6328551.833 6043780.986 6187750.309 331.33279 83.41511 166.96126 0.0003056625 184.36414 355.009 0.029883 856.060 271.842 0.00214710639 0.00604463872 0.0000835587 0.0000782063 6313178.398 6030134.537 6170785.708 334.27867 69.52255 166.35053 0.0003057650 184.84756 356.007 0.029967 855.485 271.787 0.00213086318 0.00607713564 0.0000830666 0.0000787823 6298298.536 6016998.727 6154353.504 337.22933 55.63456 165.75897 0.0003058489 185.21561 357.004 0.030051 854.927 271.736 0.00211452356 0.00610920362 0.0000825645 0.0000793497 6283910.726 6004371.682 6138452.406 340.18418 41.75304 165.18653 0.0003059142 185.46874 358.002 0.030135 854.388 271.689 0.00209809044 0.00614084104 0.0000820526 0.0000799083 6270013.480 5992251.576 6123081.141 343.14268 27.87986 164.63317 0.0003059609 185.60743 359.000 0.030219 853.866 271.647 0.00208156668 0.00617204625 0.0000815311 0.0000804578 6256605.349 5980636.633 6108238.456 346.10424 14.01691 164.09883 0.0003059889 185.63215 360.010 0.030304 853.357 271.609 0.00206475685 0.00620318134 0.0000809937 0.0000810046 6243534.040 5969395.869 6093755.877 349.10358 0.00121 163.57746 0.0003059983 185.54166 Engine speed (Hz) = 33.0000000000 Output power (W) = 6122.8168250708 Heat into heater (W) = 11520.4180211030 Heat to regenerator (W) = 0.0398932708 Heat removal from cooler (W) = 5398.0561188628 Approximate Pumping loss (W) = -2431.2535208859 Thermal efficiency (%) = 53.1475230660 The average engine pressure (Pa) = 8460437.2032591812 The exp space work per cycle (J) = 349.0726524792 The comp space work per cycle (J) = -163.5327486892 The net work per cycle (J) = 185.5399037900 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -934.9136027188 The expansion work for Vmin-to-Vmax (J) = 1120.4535065089 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 854.130 271.662 0.00206671293 0.00619791996 0.0000809929 0.0000810053 6255169.124 5965445.540 6097097.470 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000082 853.651 271.630 0.00205012217 0.00622811052 0.0000804560 0.0000815329 6242857.582 5955025.892 6083348.321 2.93598 -13.75602 -0.49497 0.0003059889 -0.20984 2.007 0.000164 853.183 271.603 0.00203324298 0.00625823538 0.0000799032 0.0000820573 6230879.315 5944979.533 6069957.185 5.90957 -27.66676 -0.97705 0.0003059606 -0.53541 3.010 0.000246 852.735 271.580 0.00201628249 0.00628791742 0.0000793413 0.0000825721 6219387.991 5935436.583 6057095.928 8.88390 -41.56046 -1.44006 0.0003059134 -0.97429 4.002 0.000327 852.309 271.561 0.00199945176 0.00631680103 0.0000787775 0.0000830708 6208513.643 5926502.729 6044910.678 11.82209 -55.26617 -1.87872 0.0003058483 -1.51857 5.005 0.000409 851.897 271.547 0.00198233798 0.00634559766 0.0000781981 0.0000835656 6197986.565 5917955.897 6033099.528 14.79607 -69.12051 -2.30393 0.0003057637 -2.18117 6.009 0.000491 851.503 271.537 0.00196515123 0.00637394622 0.0000776100 0.0000840502 6187942.803 5909907.992 6021815.132 17.76893 -82.95231 -2.71016 0.0003056603 -2.95553 7.001 0.000572 851.132 271.532 0.00194810513 0.00640150742 0.0000770209 0.0000845187 6178494.945 5902446.706 6011184.567 20.70381 -96.59151 -3.09286 0.0003055397 -3.82965 8.004 0.000654 850.775 271.531 0.00193078148 0.00642895995 0.0000764164 0.0000849826 6169408.659 5895386.482 6000944.445 23.67255 -110.37311 -3.46151 0.0003053990 -4.82458 9.008 0.000736 850.437 271.535 0.00191339302 0.00645595896 0.0000758038 0.0000854358 6160802.511 5888821.175 5991228.347 26.63824 -124.12674 -3.81129 0.0003052396 -5.92967 10.012 0.000818 850.117 271.543 0.00189594246 0.00648250255 0.0000751833 0.0000858782 6152675.546 5882749.550 5982035.459 29.60022 -137.85060 -4.14223 0.0003050615 -7.14436 11.003 0.000899 849.819 271.555 0.00187864635 0.00650827344 0.0000745629 0.0000863044 6145117.265 5877235.501 5973467.612 32.52180 -151.37612 -4.45067 0.0003048674 -8.45131 12.007 0.000981 849.536 271.573 0.00186108027 0.00653390598 0.0000739275 0.0000867250 6137940.210 5872141.756 5965312.558 35.47444 -165.03546 -4.74426 0.0003046525 -9.88224 13.010 0.001063 849.271 271.594 0.00184346006 0.00655907722 0.0000732848 0.0000871343 6131239.823 5867538.312 5957678.607 38.42138 -178.65966 -5.01908 0.0003044191 -11.42111 14.002 0.001144 849.028 271.620 0.00182600416 0.00658348657 0.0000726429 0.0000875275 6125088.426 5863471.370 5950648.789 41.32612 -192.08144 -5.27215 0.0003041704 -13.04664 15.006 0.001226 848.801 271.650 0.00180828418 0.00660773465 0.0000719863 0.0000879142 6119333.477 5859839.542 5944049.006 44.25969 -205.63043 -5.50974 0.0003039006 -14.79839 16.009 0.001308 848.592 271.685 0.00179051792 0.00663151510 0.0000713231 0.0000882894 6114053.219 5856695.091 5937968.756 47.18551 -219.13890 -5.72863 0.0003036124 -16.65638 17.001 0.001389 848.404 271.724 0.00177292546 0.00665454428 0.0000706616 0.0000886485 6109302.875 5854066.625 5932472.332 50.06734 -232.44108 -5.92650 0.0003033100 -18.59544 18.004 0.001471 848.232 271.768 0.00175507499 0.00667738855 0.0000699856 0.0000890003 6104964.687 5851888.422 5927423.694 52.97566 -245.86362 -6.10826 0.0003029859 -20.66288 19.008 0.001553 848.078 271.817 0.00173718604 0.00669975839 0.0000693037 0.0000893402 6101099.786 5850195.112 5922893.600 55.87412 -259.24024 -6.27134 0.0003026439 -22.83480 20.012 0.001635 847.944 271.870 0.00171926120 0.00672165139 0.0000686158 0.0000896681 6097707.838 5848985.958 5918881.859 58.76200 -272.56910 -6.41576 0.0003022840 -25.11061 21.003 0.001716 847.829 271.926 0.00170152226 0.00674280684 0.0000679308 0.0000899802 6094821.331 5848266.209 5915427.832 61.60358 -285.68675 -6.54011 0.0003019111 -27.46007 22.007 0.001798 847.732 271.988 0.00168353377 0.00676374457 0.0000672320 0.0000902840 6092368.797 5848017.452 5912446.190 64.46829 -298.91526 -6.64745 0.0003015160 -29.94061 23.010 0.001880 847.653 272.055 0.00166551713 0.00678419788 0.0000665280 0.0000905755 6090388.632 5848250.914 5909982.764 67.32027 -312.09054 -6.73613 0.0003011035 -32.52322 24.002 0.001961 847.594 272.125 0.00164769509 0.00680392352 0.0000658276 0.0000908513 6088896.326 5848954.411 5908058.258 70.12424 -325.05107 -6.80541 0.0003006789 -35.17396 25.006 0.002043 847.553 272.200 0.00162963016 0.00682340581 0.0000651138 0.0000911181 6087855.056 5850144.793 5906625.335 72.94870 -338.11501 -6.85700 0.0003002319 -37.95767 26.009 0.002125 847.530 272.280 0.00161154479 0.00684239541 0.0000643955 0.0000913724 6087286.225 5851815.824 5905711.179 75.75820 -351.12014 -6.88991 0.0002997679 -40.84159 27.001 0.002206 847.526 272.363 0.00159366244 0.00686066684 0.0000636817 0.0000916111 6087188.335 5853937.927 5905317.824 78.51803 -363.90708 -6.90407 0.0002992928 -43.78814 28.004 0.002288 847.541 272.452 0.00157554413 0.00687866828 0.0000629549 0.0000918402 6087559.222 5856563.085 5905435.982 81.29558 -376.78968 -6.89981 0.0002987952 -46.86942 29.008 0.002370 847.574 272.545 0.00155741313 0.00689616801 0.0000622243 0.0000920566 6088403.312 5859667.640 5906074.186 84.05593 -389.60779 -6.87684 0.0002982809 -50.04902 30.012 0.002452 847.626 272.643 0.00153927203 0.00691316284 0.0000614900 0.0000922601 6089721.022 5863251.235 5907233.035 86.79829 -402.35945 -6.83512 0.0002977501 -53.32630 31.003 0.002533 847.696 272.743 0.00152134480 0.00692945152 0.0000607612 0.0000924485 6091488.145 5867261.115 5908889.582 89.48882 -414.88847 -6.77548 0.0002972097 -56.65888 32.007 0.002615 847.786 272.850 0.00150319139 0.00694543287 0.0000600202 0.0000926263 6093748.893 5871795.984 5911085.495 92.19318 -427.50226 -6.69643 0.0002966465 -60.12837 33.011 0.002697 847.894 272.961 0.00148503569 0.00696089924 0.0000592763 0.0000927911 6096485.015 5876808.968 5913804.369 94.87725 -440.04372 -6.59855 0.0002960674 -63.69358 34.002 0.002778 848.020 273.075 0.00146710173 0.00697566787 0.0000585387 0.0000929411 6099655.228 5882229.957 5917004.454 97.50790 -452.35926 -6.48335 0.0002954797 -67.30860 35.006 0.002860 848.166 273.195 0.00144894932 0.00699009978 0.0000577894 0.0000930799 6103338.653 5888192.546 5920765.806 100.14932 -464.75097 -6.34794 0.0002948693 -71.06204 36.009 0.002942 848.330 273.319 0.00143080253 0.00700400569 0.0000570378 0.0000932056 6107500.000 5894632.474 5925053.261 102.76811 -477.06427 -6.19359 0.0002942434 -74.90915 37.001 0.003023 848.512 273.446 0.00141288517 0.00701722179 0.0000562934 0.0000933167 6112080.833 5901462.267 5929806.164 105.33196 -489.14842 -6.02249 0.0002936101 -78.80064 38.004 0.003105 848.714 273.579 0.00139475748 0.00703007041 0.0000555379 0.0000934162 6117195.383 5908850.319 5935143.203 107.90339 -501.29971 -5.83035 0.0002929541 -82.83189 39.008 0.003187 848.935 273.717 0.00137664343 0.00704238103 0.0000547808 0.0000935024 6122791.257 5916714.968 5941010.364 110.44980 -513.36632 -5.61914 0.0002922831 -86.95473 40.012 0.003269 849.175 273.859 0.00135854573 0.00705414940 0.0000540223 0.0000935753 6128869.794 5925055.948 5947409.202 112.97038 -525.34611 -5.38878 0.0002915975 -91.16842 41.003 0.003350 849.431 274.003 0.00134068746 0.00706523760 0.0000532719 0.0000936342 6135349.487 5933762.585 5954253.617 115.43407 -537.09243 -5.14238 0.0002909061 -95.41923 42.007 0.003432 849.708 274.154 0.00132263040 0.00707591496 0.0000525113 0.0000936807 6142391.868 5943049.547 5961714.365 117.90088 -548.89312 -4.87379 0.0002901920 -99.81139 43.011 0.003514 850.005 274.309 0.00130459791 0.00708603660 0.0000517500 0.0000937138 6149921.564 5952811.901 5969712.089 120.33944 -560.60039 -4.58587 0.0002894638 -104.29223 44.002 0.003595 850.317 274.467 0.00128681219 0.00709548454 0.0000509976 0.0000937334 6157839.619 5962921.547 5978141.440 122.71969 -572.07094 -4.28242 0.0002887310 -108.80474 45.006 0.003677 850.651 274.630 0.00126883687 0.00710448718 0.0000502356 0.0000937400 6166343.432 5973627.656 5987212.663 125.09961 -583.58570 -3.95585 0.0002879756 -113.45960 46.009 0.003759 851.005 274.798 0.00125089453 0.00711291936 0.0000494736 0.0000937332 6175340.274 5984807.789 5996827.255 127.44878 -595.00014 -3.60973 0.0002872069 -118.20087 47.001 0.003840 851.373 274.969 0.00123320620 0.00712068352 0.0000487212 0.0000937135 6184713.575 5996316.364 6006860.425 129.73830 -606.17456 -3.24853 0.0002864346 -122.96839 48.005 0.003922 851.764 275.145 0.00121533797 0.00712796597 0.0000479599 0.0000936802 6194697.077 6008436.827 6017562.448 132.02388 -617.38247 -2.86326 0.0002856401 -127.87909 49.008 0.004004 852.175 275.326 0.00119751138 0.00713466172 0.0000471993 0.0000936336 6205180.564 6021029.121 6028815.529 134.27620 -628.48282 -2.45815 0.0002848329 -132.87384 50.012 0.004086 852.604 275.511 0.00117972937 0.00714076493 0.0000464397 0.0000935737 6216166.694 6034092.217 6040622.593 136.49441 -639.47308 -2.03310 0.0002840134 -137.95182 51.003 0.004167 853.048 275.698 0.00116221091 0.00714620598 0.0000456904 0.0000935014 6227515.117 6047457.020 6052832.633 138.65123 -650.21873 -1.59353 0.0002831919 -143.04878 52.007 0.004249 853.516 275.891 0.00114452643 0.00715111293 0.0000449333 0.0000934151 6239509.075 6061452.034 6065750.489 140.79907 -660.98249 -1.12849 0.0002823484 -148.28976 53.011 0.004331 854.003 276.089 0.00112689556 0.00715540821 0.0000441779 0.0000933155 6252014.869 6075913.271 6079232.523 142.91020 -671.62829 -0.64314 0.0002814934 -153.61148 54.002 0.004412 854.503 276.288 0.00110953540 0.00715904359 0.0000434334 0.0000932042 6264874.203 6090653.617 6093108.036 144.95867 -682.02573 -0.14362 0.0002806376 -158.94672 55.006 0.004494 855.029 276.494 0.00109202041 0.00716210120 0.0000426819 0.0000930784 6278408.548 6106034.094 6107724.186 146.99416 -692.42866 0.38256 0.0002797603 -164.42637 56.010 0.004576 855.574 276.704 0.00107456850 0.00716452386 0.0000419327 0.0000929394 6292466.790 6121871.620 6122918.490 148.99020 -702.70492 0.92956 0.0002788721 -169.98415 57.001 0.004657 856.132 276.915 0.00105739460 0.00716628400 0.0000411951 0.0000927893 6306873.032 6137959.333 6138501.522 150.92220 -712.72829 1.49055 0.0002779844 -175.54997 58.005 0.004739 856.716 277.132 0.00104007808 0.00716741297 0.0000404512 0.0000926243 6321989.281 6154685.930 6154866.845 152.83678 -722.74258 2.07970 0.0002770755 -181.26037 59.008 0.004821 857.320 277.353 0.00102283510 0.00716786553 0.0000397102 0.0000924463 6337649.714 6171837.594 6171841.654 154.70847 -732.61832 2.69079 0.0002761566 -187.04615 60.012 0.004903 857.945 277.578 0.00100566930 0.00716766797 0.0000389725 0.0000922554 6353862.607 6189468.439 6189395.705 156.53758 -742.35720 3.31955 0.0002752279 -192.90639 61.003 0.004984 858.580 277.808 0.00098878777 0.00716692738 0.0000382472 0.0000920542 6370388.800 6207502.765 6207211.353 158.30581 -751.85671 3.94951 0.0002743014 -198.76734 62.007 0.005066 859.241 278.049 0.00097177318 0.00716561574 0.0000375166 0.0000918377 6387604.745 6226381.811 6225738.848 160.05630 -761.35029 4.59660 0.0002733543 -204.77274 63.011 0.005148 859.919 278.297 0.00095483577 0.00716373145 0.0000367899 0.0000916084 6405292.063 6245885.340 6244767.240 161.76638 -770.71808 5.25350 0.0002723983 -210.84969 64.002 0.005229 860.604 278.549 0.00093818306 0.00716130180 0.0000360761 0.0000913695 6423217.412 6265764.065 6264059.162 163.41528 -779.84592 5.91235 0.0002714456 -216.92175 65.006 0.005311 861.313 278.811 0.00092140690 0.00715826099 0.0000353579 0.0000911151 6441818.907 6286509.366 6284093.768 165.04305 -788.95663 6.58975 0.0002704729 -223.13783 66.010 0.005393 862.039 279.081 0.00090471676 0.00715462985 0.0000346442 0.0000908481 6460876.240 6307880.555 6304638.220 166.62835 -797.93400 7.27797 0.0002694923 -229.42233 67.001 0.005474 862.771 279.355 0.00088831816 0.00715045804 0.0000339438 0.0000905722 6480148.452 6329606.760 6325434.529 168.15194 -806.66819 7.96874 0.0002685160 -235.69629 68.005 0.005556 863.528 279.639 0.00087180994 0.00714563722 0.0000332399 0.0000902805 6500112.009 6352225.796 6346997.816 169.65074 -815.37197 8.67947 0.0002675204 -242.11356 69.008 0.005638 864.300 279.930 0.00085539895 0.00714020990 0.0000325411 0.0000899766 6520532.842 6375474.802 6369075.951 171.10497 -823.93372 9.40205 0.0002665177 -248.59597 70.012 0.005720 865.088 280.228 0.00083908914 0.00713417080 0.0000318478 0.0000896605 6541412.275 6399355.446 6391670.306 172.51394 -832.35045 10.13687 0.0002655083 -255.14239 71.004 0.005801 865.882 280.530 0.00082308144 0.00712759958 0.0000311684 0.0000893364 6562488.736 6423566.728 6414497.188 173.86063 -840.51920 10.87513 0.0002645048 -261.67071 72.007 0.005883 866.701 280.842 0.00080698460 0.00712032881 0.0000304865 0.0000889963 6584284.110 6448708.296 6438121.420 175.17762 -848.63866 11.63544 0.0002634828 -268.34097 73.011 0.005965 867.535 281.162 0.00079100098 0.00711243063 0.0000298107 0.0000886443 6606542.513 6474487.040 6462265.491 176.44735 -856.60401 12.40920 0.0002624550 -275.07179 74.002 0.006046 868.374 281.484 0.00077532747 0.00710400770 0.0000291492 0.0000882851 6628985.552 6500578.909 6486626.554 177.65456 -864.31789 13.18715 0.0002614343 -281.77882 75.006 0.006128 869.239 281.817 0.00075958120 0.00709484692 0.0000284860 0.0000879098 6652168.879 6527630.146 6511807.137 178.82845 -871.96769 13.98895 0.0002603958 -288.62645 76.010 0.006210 870.118 282.158 0.00074396061 0.00708504321 0.0000278295 0.0000875230 6675819.776 6555324.570 6537510.644 179.95318 -879.45406 14.80555 0.0002593525 -295.53103 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167.58871 0.0003058493 181.72420 357.003 0.029167 855.694 271.783 0.00211651822 0.00610371753 0.0000825651 0.0000793491 6295438.345 6000078.591 6141982.186 338.50848 41.80591 167.01808 0.0003059142 181.96729 358.007 0.029249 855.154 271.738 0.00209999139 0.00613558990 0.0000820502 0.0000799109 6281506.263 5988009.764 6126468.113 341.47307 27.84583 166.45957 0.0003059611 182.09829 359.011 0.029331 854.632 271.697 0.00208337184 0.00616702628 0.0000815256 0.0000804635 6268066.596 5976451.050 6111488.578 344.44081 13.89532 165.92031 0.0003059891 182.11398 360.002 0.029412 854.134 271.661 0.00206686676 0.00619764955 0.0000809980 0.0000810003 6255272.867 5965532.395 6097215.331 347.37488 0.12618 165.40647 0.0003059983 182.01674 Engine speed (Hz) = 34.0000000000 Output power (W) = 6188.5047082941 Heat into heater (W) = 11810.7458163613 Heat to regenerator (W) = 4.2902696686 Heat removal from cooler (W) = 5623.8200477990 Approximate Pumping loss (W) = -2642.2304099771 Thermal efficiency (%) = 52.3972389595 The average engine pressure (Pa) = 8461684.2600065675 The exp space work per cycle (J) = 347.3996822674 The comp space work per cycle (J) = -165.3848379058 The net work per cycle (J) = 182.0148443616 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -936.6818480436 The expansion work for Vmin-to-Vmax (J) = 1118.6966924052 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 854.925 271.714 0.00206886911 0.00619225199 0.0000809972 0.0000810011 6267189.549 5961455.502 6100647.828 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.012 0.000080 854.439 271.684 0.00205199982 0.00622300430 0.0000804513 0.0000815374 6254713.146 5950982.416 6086612.347 2.97383 -13.99481 -0.50528 0.0003059887 -0.22202 2.007 0.000159 853.978 271.658 0.00203525709 0.00625293672 0.0000799030 0.0000820575 6242873.563 5941139.229 6073277.805 5.91189 -27.80039 -0.98532 0.0003059605 -0.55396 3.002 0.000238 853.534 271.636 0.00201843337 0.00628243467 0.0000793458 0.0000825680 6231510.536 5931790.316 6060464.387 8.85074 -41.58995 -1.44660 0.0003059138 -0.99738 4.010 0.000318 853.104 271.619 0.00200131698 0.00631186147 0.0000787726 0.0000830751 6220488.053 5922825.211 6048018.781 11.82699 -55.53586 -1.89465 0.0003058476 -1.55952 5.006 0.000397 852.696 271.606 0.00198433858 0.00634047970 0.0000781979 0.0000835658 6210080.476 5914466.562 6036251.126 14.76561 -69.28766 -2.31828 0.0003057636 -2.22579 6.001 0.000476 852.307 271.598 0.00196728743 0.00636865816 0.0000776147 0.0000840464 6200145.880 5906597.778 6025001.614 17.70320 -83.01799 -2.72326 0.0003056611 -3.00202 7.009 0.000556 851.932 271.594 0.00194994905 0.00639674333 0.0000770157 0.0000845228 6190566.414 5899127.202 6014136.796 20.67628 -96.89840 -3.11440 0.0003055385 -3.89959 8.005 0.000635 851.579 271.595 0.00193275962 0.00642403124 0.0000764161 0.0000849828 6181580.514 5892240.277 6003927.421 23.60989 -110.58009 -3.48193 0.0003053989 -4.89553 9.000 0.000714 851.244 271.600 0.00191550551 0.00645087388 0.0000758086 0.0000854323 6173064.467 5885839.274 5994233.591 26.54057 -124.23493 -3.83091 0.0003052409 -5.99984 10.008 0.000794 850.924 271.610 0.00189796978 0.00647760061 0.0000751856 0.0000858766 6164918.479 5879851.197 5984941.647 29.50470 -138.03343 -4.16542 0.0003050622 -7.22802 11.003 0.000873 850.626 271.624 0.00188059349 0.00650354133 0.0000745627 0.0000863046 6157345.312 5874424.581 5976283.165 32.42753 -151.62885 -4.47713 0.0003048673 -8.54882 12.011 0.000953 850.342 271.642 0.00186293944 0.00652935072 0.0000739245 0.0000867269 6150152.397 5869420.908 5968038.265 35.38239 -165.36353 -4.77394 0.0003046514 -9.99511 13.007 0.001032 850.081 271.665 0.00184545160 0.00655438153 0.0000732871 0.0000871328 6143518.783 5864964.202 5960412.461 38.29473 -178.89233 -5.04847 0.0003044199 -11.53019 14.002 0.001111 849.837 271.692 0.00182791225 0.00657895717 0.0000726427 0.0000875277 6137350.901 5860987.862 5953298.896 41.20087 -192.38537 -5.30456 0.0003041703 -13.17090 15.010 0.001191 849.609 271.724 0.00181010104 0.00660337789 0.0000719833 0.0000879160 6131578.896 5857449.733 5946616.795 44.13678 -206.01095 -5.54512 0.0003038993 -14.93946 16.006 0.001270 849.402 271.760 0.00179246586 0.00662703099 0.0000713255 0.0000882880 6126346.479 5854437.350 5940532.783 47.02838 -219.42663 -5.76414 0.0003036135 -16.79108 17.001 0.001349 849.214 271.801 0.00177478695 0.00665022241 0.0000706613 0.0000886486 6121578.038 5851902.592 5934959.735 49.91174 -232.80119 -5.96477 0.0003033099 -18.74663 18.009 0.001429 849.041 271.846 0.00175684230 0.00667323459 0.0000699825 0.0000890019 6117221.593 5849821.646 5929836.547 52.82249 -246.30132 -6.14921 0.0003029844 -20.83227 19.004 0.001508 848.889 271.896 0.00173908313 0.00669548987 0.0000693061 0.0000893390 6113385.661 5848245.756 5925291.069 55.68716 -259.58772 -6.31284 0.0003026451 -22.99527 20.012 0.001588 848.754 271.950 0.00172106245 0.00671754921 0.0000686153 0.0000896684 6109972.797 5847134.281 5921208.062 58.57757 -272.99490 -6.45983 0.0003022837 -25.28979 21.008 0.001667 848.639 272.009 0.00170323336 0.00673885862 0.0000679276 0.0000899816 6107068.064 5846514.316 5917689.512 61.42073 -286.18585 -6.58650 0.0003019092 -27.65788 22.003 0.001746 848.542 272.071 0.00168537337 0.00675969431 0.0000672345 0.0000902829 6104625.689 5846368.319 5914681.139 64.25215 -299.32666 -6.69480 0.0003015175 -30.12698 23.011 0.001826 848.463 272.139 0.00166725842 0.00678030830 0.0000665275 0.0000905757 6102623.453 5846702.863 5912154.647 67.10671 -312.58085 -6.78575 0.0003011032 -32.72965 24.007 0.001905 848.403 272.211 0.00164934396 0.00680018255 0.0000658243 0.0000908526 6101111.370 5847509.017 5910173.335 69.91231 -325.61521 -6.85708 0.0003006768 -35.40023 25.002 0.001984 848.361 272.287 0.00163140626 0.00681957500 0.0000651164 0.0000911172 6100061.519 5848787.439 5908702.604 72.70399 -338.59390 -6.91003 0.0003002336 -38.17000 26.010 0.002064 848.337 272.368 0.00161322044 0.00683871904 0.0000643950 0.0000913725 6099469.532 5850562.815 5907733.867 75.51609 -351.67827 -6.94490 0.0002997675 -41.07529 27.005 0.002143 848.333 272.453 0.00159524372 0.00685713311 0.0000636783 0.0000916122 6099350.396 5852790.296 5907291.717 78.27756 -364.53931 -6.96082 0.0002992905 -44.04284 28.001 0.002222 848.346 272.542 0.00157725144 0.00687505660 0.0000629576 0.0000918394 6099694.045 5855488.661 5907361.263 81.02291 -377.33906 -6.95832 0.0002987970 -47.10773 29.009 0.002302 848.379 272.637 0.00155901818 0.00689270386 0.0000622238 0.0000920567 6100514.003 5858700.637 5907953.689 83.78582 -390.23643 -6.93699 0.0002982805 -50.30996 30.004 0.002381 848.429 272.735 0.00154100237 0.00690963052 0.0000614955 0.0000922586 6101790.199 5862345.546 5909054.809 86.49646 -402.90706 -6.89735 0.0002977541 -53.56884 31.012 0.002461 848.499 272.839 0.00152275055 0.00692626172 0.0000607546 0.0000924501 6103555.463 5866515.304 5910693.228 89.22268 -415.66974 -6.83837 0.0002972047 -56.96621 32.008 0.002540 848.586 272.946 0.00150472161 0.00694217830 0.0000600197 0.0000926264 6105766.259 5871105.332 5912828.786 91.89557 -428.20344 -6.76149 0.0002966461 -60.41649 33.003 0.002619 848.692 273.057 0.00148669005 0.00695758784 0.0000592819 0.0000927899 6108442.396 5876164.466 5915479.597 94.54855 -440.66615 -6.66606 0.0002960718 -63.96088 34.011 0.002699 848.818 273.175 0.00146843022 0.00697267211 0.0000585320 0.0000929424 6111627.405 5881765.382 5918690.039 97.21406 -453.21223 -6.55048 0.0002954743 -67.64538 35.006 0.002778 848.961 273.295 0.00145040125 0.00698705028 0.0000577889 0.0000930800 6115242.529 5887767.763 5922380.932 99.82466 -465.52601 -6.41761 0.0002948689 -71.37719 36.002 0.002857 849.123 273.419 0.00143237751 0.00700091037 0.0000570435 0.0000932047 6119325.580 5894238.366 5926590.303 102.41304 -477.76276 -6.26607 0.0002942482 -75.20112 37.010 0.002937 849.305 273.550 0.00141413364 0.00701441398 0.0000562866 0.0000933177 6123938.234 5901267.734 5931382.611 105.01075 -490.07379 -6.09355 0.0002936043 -79.16663 38.005 0.003016 849.504 273.683 0.00139612843 0.00702721949 0.0000555374 0.0000934162 6128966.334 5908679.836 5936639.428 107.55204 -502.14922 -5.90430 0.0002929536 -83.17390 39.001 0.003095 849.721 273.820 0.00137813641 0.00703949488 0.0000547865 0.0000935018 6134465.810 5916559.278 5942418.830 110.06876 -514.14136 -5.69624 0.0002922883 -87.27121 40.009 0.003175 849.959 273.964 0.00135993285 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6309295.806 310.57316 167.03543 174.77842 0.0003046546 172.05197 349.011 0.027699 861.406 272.340 0.00224642785 0.00582859333 0.0000862984 0.0000745718 6435455.336 6109167.376 6288791.512 313.48525 153.01787 174.04026 0.0003048703 173.23448 350.006 0.027778 860.730 272.261 0.00223088675 0.00586362829 0.0000858703 0.0000751946 6417758.300 6093227.516 6269083.564 316.36897 139.16653 173.33077 0.0003050649 174.28398 351.002 0.027857 860.072 272.187 0.00221522959 0.00589824973 0.0000854314 0.0000758098 6400555.783 6077804.098 6249911.016 319.26017 125.30827 172.64056 0.0003052412 175.21643 352.010 0.027937 859.423 272.116 0.00219925910 0.00593288614 0.0000849761 0.0000764249 6383637.750 6062709.591 6231040.111 322.19507 111.26959 171.96121 0.0003054011 176.04182 353.005 0.028016 858.800 272.050 0.00218337759 0.00596666979 0.0000845160 0.0000770244 6367425.493 6048319.279 6212941.361 325.09977 97.40346 171.30966 0.0003055404 176.73996 354.001 0.028095 858.195 271.989 0.00216738916 0.00600003450 0.0000840455 0.0000776158 6351702.805 6034439.222 6195374.260 328.01040 83.53637 170.67724 0.0003056614 177.32233 355.009 0.028175 857.600 271.932 0.00215109240 0.00603339283 0.0000835587 0.0000782063 6336278.380 6020901.444 6178125.310 330.96334 69.49476 170.05628 0.0003057650 177.79457 356.004 0.028254 857.031 271.879 0.00213489773 0.00606590908 0.0000830678 0.0000787809 6321536.259 6008042.452 6161624.498 333.88424 55.63163 169.46225 0.0003058487 178.14531 357.012 0.028334 856.473 271.831 0.00211839814 0.00609840466 0.0000825607 0.0000793540 6307101.664 5995534.784 6145452.836 336.84647 41.59795 168.88007 0.0003059147 178.38392 358.007 0.028413 855.939 271.787 0.00210200904 0.00613006547 0.0000820500 0.0000799111 6293333.964 5983689.294 6130013.407 339.77541 27.74649 168.32425 0.0003059611 178.50490 359.003 0.028492 855.424 271.748 0.00208552768 0.00616129868 0.0000815298 0.0000804592 6280048.215 5972344.678 6115099.553 342.70750 13.90365 167.78735 0.0003059890 178.51242 360.011 0.028572 854.920 271.713 0.00206874657 0.00619248976 0.0000809933 0.0000810050 6267083.994 5961365.125 6100531.335 345.67932 -0.10372 167.26289 0.0003059983 178.40492 Engine speed (Hz) = 35.0000000000 Output power (W) = 6244.0997576703 Heat into heater (W) = 12098.7761416767 Heat to regenerator (W) = -3.6300261194 Heat removal from cooler (W) = 5854.2012945606 Approximate Pumping loss (W) = -2864.6685960536 Thermal efficiency (%) = 51.6093502727 The average engine pressure (Pa) = 8463397.0073556006 The exp space work per cycle (J) = 345.5983702918 The comp space work per cycle (J) = -167.1955200727 The net work per cycle (J) = 178.4028502191 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -938.4991635228 The expansion work for Vmin-to-Vmax (J) = 1116.9020137419 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 855.729 271.767 0.00207080659 0.00618693526 0.0000809929 0.0000810053 6279289.189 5957170.193 6104064.195 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.009 0.000078 855.250 271.738 0.00205410483 0.00621743655 0.0000804525 0.0000815363 6266982.255 5946924.651 6090113.112 2.93269 -13.86360 -0.50224 0.0003059887 -0.22889 2.007 0.000155 854.790 271.713 0.00203731781 0.00624750408 0.0000799028 0.0000820577 6255153.125 5937176.622 6076686.763 5.86683 -27.71370 -0.98559 0.0003059605 -0.57036 3.005 0.000232 854.347 271.693 0.00202044832 0.00627713606 0.0000793442 0.0000825695 6243800.506 5927924.526 6063784.110 8.80183 -41.54846 -1.45008 0.0003059137 -1.02392 4.003 0.000309 853.923 271.678 0.00200349916 0.00630633070 0.0000787767 0.0000830715 6232923.148 5919166.837 6051404.149 11.73709 -55.36603 -1.89576 0.0003058482 -1.58905 5.001 0.000386 853.516 271.666 0.00198647308 0.00633508620 0.0000782006 0.0000835635 6222519.851 5910902.079 6039545.914 14.67199 -69.16458 -2.32266 0.0003057641 -2.26525 6.012 0.000464 853.123 271.660 0.00196915029 0.00636376552 0.0000776083 0.0000840516 6212463.600 5903031.104 6028064.662 17.64400 -83.12107 -2.73598 0.0003056599 -3.06292 7.010 0.000541 852.752 271.657 0.00195197771 0.00639163144 0.0000770153 0.0000845231 6203011.134 5895754.347 6017253.888 20.57630 -96.87581 -3.12517 0.0003055384 -3.96110 8.008 0.000618 852.400 271.659 0.00193473645 0.00641905261 0.0000764142 0.0000849842 6194029.409 5888966.389 6006962.180 23.50635 -110.60604 -3.49567 0.0003053984 -4.96876 9.006 0.000695 852.066 271.666 0.00191742921 0.00644602712 0.0000758051 0.0000854348 6185517.425 5882665.964 5997188.746 26.43353 -124.30996 -3.84752 0.0003052399 -6.08537 10.004 0.000772 851.750 271.677 0.00190005867 0.00647255301 0.0000751883 0.0000858747 6177474.240 5876851.854 5987932.845 29.35718 -137.98576 -4.18073 0.0003050630 -7.31038 11.002 0.000849 851.452 271.692 0.00188262751 0.00649862831 0.0000745639 0.0000863038 6169898.967 5871522.896 5979193.785 32.27666 -151.63164 -4.49533 0.0003048677 -8.64325 12.012 0.000927 851.169 271.712 0.00186491087 0.00652458075 0.0000739238 0.0000867273 6162701.528 5866618.230 5970867.534 35.22912 -165.42238 -4.79508 0.0003046512 -10.10284 13.010 0.001004 850.907 271.737 0.00184736571 0.00654974279 0.0000732848 0.0000871343 6156065.693 5862262.542 5963167.000 38.13820 -179.00256 -5.07230 0.0003044191 -11.65116 14.008 0.001081 850.664 271.765 0.00182976791 0.00657444798 0.0000726387 0.0000875300 6149895.445 5858388.794 5955981.564 41.04110 -192.54738 -5.33097 0.0003041688 -13.30567 15.006 0.001158 850.439 271.799 0.00181212008 0.00659869414 0.0000719859 0.0000879145 6144190.132 5854996.018 5949310.766 43.93716 -206.05504 -5.57112 0.0003039004 -15.06580 16.004 0.001235 850.232 271.836 0.00179442485 0.00662247906 0.0000713264 0.0000882875 6138949.166 5852083.296 5943154.208 46.82569 -219.52373 -5.79276 0.0003036139 -16.93099 17.002 0.001312 850.043 271.878 0.00177668482 0.00664580044 0.0000706606 0.0000886490 6134172.022 5849649.754 5937511.555 49.70601 -232.95164 -5.99590 0.0003033096 -18.90066 18.000 0.001389 849.873 271.925 0.00175890261 0.00666865595 0.0000699886 0.0000889988 6129858.241 5847694.562 5932382.538 52.57742 -246.33696 -6.18054 0.0003029874 -20.97423 19.011 0.001467 849.718 271.976 0.00174084912 0.00669133084 0.0000693017 0.0000893412 6125960.464 5846200.888 5927710.393 55.47633 -259.85080 -6.34874 0.0003026429 -23.18007 20.009 0.001544 849.584 272.032 0.00172298987 0.00671324120 0.0000686178 0.0000896672 6122578.305 5845206.281 5923614.785 58.32769 -273.14483 -6.49618 0.0003022850 -25.46102 21.007 0.001621 849.469 272.091 0.00170509626 0.00673467826 0.0000679284 0.0000899813 6119658.532 5844687.795 5920032.424 61.16803 -286.39074 -6.62514 0.0003019097 -27.84410 22.005 0.001698 849.372 272.156 0.00168717088 0.00675563940 0.0000672335 0.0000902833 6117200.963 5844644.772 5916963.324 63.99663 -299.58670 -6.73563 0.0003015169 -30.32871 23.003 0.001775 849.292 272.224 0.00166921632 0.00677612195 0.0000665336 0.0000905732 6115205.486 5845076.595 5914407.576 66.81277 -312.73084 -6.82764 0.0003011068 -32.91424 24.000 0.001852 849.232 272.297 0.00165123516 0.00679612315 0.0000658286 0.0000908509 6113672.064 5845982.681 5912365.344 69.61573 -325.82129 -6.90116 0.0003006795 -35.60009 25.011 0.001930 849.189 272.376 0.00163299602 0.00681589045 0.0000651097 0.0000911196 6112589.860 5847383.518 5910820.405 72.44090 -339.02509 -6.95678 0.0003002293 -38.42248 26.009 0.002007 849.165 272.458 0.00161496920 0.00683491403 0.0000643955 0.0000913724 6111986.741 5849242.668 5909812.701 75.21510 -352.00177 -6.99305 0.0002997679 -41.30840 27.007 0.002084 849.159 272.544 0.00159692359 0.00685344749 0.0000636770 0.0000916127 6111846.025 5851574.535 5909319.495 77.97390 -364.91907 -7.01081 0.0002992897 -44.29278 28.005 0.002161 849.172 272.635 0.00157886180 0.00687148773 0.0000629544 0.0000918404 6112167.989 5854378.666 5909341.277 80.71656 -377.77506 -7.01003 0.0002987948 -47.37498 29.003 0.002238 849.203 272.730 0.00156078644 0.00688903159 0.0000622280 0.0000920555 6112952.987 5857654.635 5909878.624 83.44232 -390.56781 -6.99068 0.0002982835 -50.55436 30.001 0.002315 849.252 272.830 0.00154270011 0.00690607579 0.0000614979 0.0000922580 6114201.461 5861402.039 5910932.195 86.15044 -403.29537 -6.95275 0.0002977559 -53.83030 31.012 0.002393 849.321 272.935 0.00152437040 0.00692282847 0.0000607548 0.0000924500 6115939.232 5865678.376 5912526.544 88.87496 -416.11974 -6.89536 0.0002972049 -57.24655 32.010 0.002470 849.407 273.044 0.00150626995 0.00693885658 0.0000600181 0.0000926268 6118122.363 5870373.630 5914621.639 91.54524 -428.71007 -6.81993 0.0002966449 -60.71486 33.008 0.002547 849.512 273.157 0.00148816645 0.00695437462 0.0000592784 0.0000927906 6120770.822 5875539.215 5917235.495 94.19557 -441.22922 -6.72583 0.0002960691 -64.27775 34.006 0.002624 849.635 273.274 0.00147006255 0.00696937891 0.0000585360 0.0000929416 6123885.407 5881174.790 5920369.141 96.82518 -453.67514 -6.61302 0.0002954776 -67.93456 35.004 0.002701 849.776 273.396 0.00145196091 0.00698386569 0.0000577910 0.0000930796 6127467.007 5887280.021 5924023.699 99.43328 -466.04581 -6.48146 0.0002948706 -71.68461 36.001 0.002778 849.936 273.522 0.00143386419 0.00699783109 0.0000570438 0.0000932046 6131516.609 5893854.572 5928200.393 102.01910 -478.33913 -6.33110 0.0002942484 -75.52721 37.012 0.002856 850.117 273.654 0.00141554022 0.00701144218 0.0000562847 0.0000933180 6136097.075 5900992.664 5932965.034 104.61496 -490.71110 -6.15957 0.0002936027 -79.51340 38.010 0.002933 850.314 273.788 0.00139746157 0.00702434580 0.0000555336 0.0000934167 6141092.157 5908510.918 5938196.894 107.15352 -502.84235 -5.97122 0.0002929503 -83.54025 39.008 0.003010 850.530 273.927 0.00137939598 0.00703671565 0.0000547808 0.0000935024 6146558.825 5916497.441 5943955.190 109.66741 -514.88986 -5.76392 0.0002922831 -87.65757 40.006 0.003087 850.764 274.071 0.00136134617 0.00704854737 0.0000540266 0.0000935749 6152498.481 5924951.847 5950241.564 112.15582 -526.85145 -5.53761 0.0002916015 -91.86466 41.004 0.003164 851.016 274.218 0.00134331489 0.00705983648 0.0000532713 0.0000936342 6158912.639 5933873.723 5957057.770 114.61796 -538.72493 -5.29223 0.0002909056 -96.16080 42.002 0.003241 851.288 274.370 0.00132530492 0.00707057836 0.0000525151 0.0000936805 6165802.929 5943262.615 5964405.682 117.05301 -550.50806 -5.02771 0.0002901956 -100.54526 43.013 0.003319 851.581 274.529 0.00130708562 0.00708089694 0.0000517484 0.0000937138 6173269.944 5953249.079 5972393.169 119.49123 -562.34977 -4.74016 0.0002894622 -105.07597 44.011 0.003396 851.890 274.689 0.00128912700 0.00709052267 0.0000509910 0.0000937335 6181124.120 5963576.484 5980817.572 121.86928 -573.94411 -4.43688 0.0002887245 -109.63600 45.009 0.003473 852.217 274.854 0.00127119813 0.00709958638 0.0000502334 0.0000937400 6189460.090 5974369.197 5989780.079 124.21778 -585.44118 -4.11423 0.0002879734 -114.28212 46.007 0.003550 852.563 275.023 0.00125330189 0.00710808285 0.0000494758 0.0000937333 6198280.005 5985626.494 5999283.091 126.53589 -596.83858 -3.77212 0.0002872091 -119.01357 47.004 0.003627 852.928 275.196 0.00123544114 0.00711600666 0.0000487184 0.0000937134 6207586.161 5997347.543 6009329.160 128.82280 -608.13393 -3.41046 0.0002864318 -123.82958 48.002 0.003704 853.311 275.374 0.00121761879 0.00712335222 0.0000479615 0.0000936803 6217381.015 6009531.380 6019921.006 131.07765 -619.32476 -3.02915 0.0002856418 -128.72937 49.000 0.003781 853.713 275.555 0.00119983777 0.00713011373 0.0000472053 0.0000936340 6227667.194 6022176.884 6031061.528 133.29961 -630.40857 -2.62810 0.0002848393 -133.71214 50.011 0.003859 854.139 275.743 0.00118187102 0.00713636139 0.0000464402 0.0000935737 6238590.778 6035455.968 6042909.325 135.51601 -641.52461 -2.20158 0.0002840139 -138.84343 51.009 0.003936 854.579 275.933 0.00116418223 0.00714192863 0.0000456861 0.0000935010 6249874.733 6049026.566 6055163.985 137.66916 -652.38520 -1.76041 0.0002831871 -143.99082 52.007 0.004013 855.038 276.127 0.00114654382 0.00714689278 0.0000449333 0.0000934151 6261659.150 6063054.072 6067977.430 139.78682 -663.13092 -1.29912 0.0002823484 -149.21875 53.005 0.004090 855.516 276.325 0.00112895886 0.00715124686 0.0000441822 0.0000933161 6273947.564 6077536.227 6081353.616 141.86812 -673.75901 -0.81758 0.0002814983 -154.52639 54.003 0.004167 856.013 276.527 0.00111143047 0.00715498341 0.0000434329 0.0000932041 6286743.838 6092470.250 6095296.923 143.91216 -684.26663 -0.31562 0.0002806370 -159.91288 55.001 0.004244 856.529 276.733 0.00109396182 0.00715809436 0.0000426857 0.0000930790 6300052.243 6107852.629 6109812.301 145.91802 -694.65082 0.20693 0.0002797647 -165.37736 56.012 0.004322 857.072 276.946 0.00107633054 0.00716059869 0.0000419311 0.0000929391 6314060.561 6123887.202 6125105.375 147.91003 -705.04082 0.75748 0.0002788702 -170.99144 57.010 0.004399 857.627 277.159 0.00105899209 0.00716242169 0.0000411887 0.0000927879 6328415.242 6140156.386 6140791.213 149.83609 -715.16681 1.32217 0.0002779766 -176.61025 58.008 0.004476 858.201 277.376 0.00104172348 0.00716358653 0.0000404490 0.0000926238 6343299.328 6156853.050 6157071.844 151.72089 -725.15896 1.90828 0.0002770728 -182.30438 59.005 0.004553 858.795 277.596 0.00102452846 0.00716407217 0.0000397124 0.0000924469 6358722.179 6173957.226 6173964.726 153.56301 -735.01214 2.51642 0.0002761592 -188.07290 60.003 0.004630 859.409 277.821 0.00100741086 0.00716390073 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0.00548670168 0.0000896630 0.0000686268 6629184.844 6270444.511 6496264.617 286.23963 277.79752 183.29085 0.0003022898 154.82874 341.002 0.026312 868.228 273.157 0.00236873842 0.00552551097 0.0000893368 0.0000693106 6606968.719 6249814.609 6471548.548 289.02907 264.07765 182.40108 0.0003026474 156.95224 342.000 0.026389 867.414 273.044 0.00235422971 0.00556392539 0.0000889988 0.0000699886 6585263.445 6229724.012 6447380.303 291.83026 250.33060 181.53102 0.0003029874 158.95465 343.011 0.026467 866.607 272.934 0.00233938614 0.00560243368 0.0000886443 0.0000706693 6563795.238 6209919.815 6423455.689 294.67935 236.37960 180.66973 0.0003033137 160.85995 344.009 0.026544 865.828 272.831 0.00232459171 0.00564004612 0.0000882827 0.0000713351 6543112.705 6190907.349 6400387.093 297.50287 222.58462 179.83926 0.0003036178 162.61963 345.007 0.026621 865.066 272.731 0.00230966033 0.00567725678 0.0000879095 0.0000719944 6522935.481 6172426.823 6377863.150 300.33682 208.76916 179.02840 0.0003039040 164.25926 346.005 0.026698 864.321 272.636 0.00229459526 0.00571406348 0.0000875249 0.0000726472 6503261.751 6154475.861 6355882.739 303.18075 194.93539 178.23711 0.0003041721 165.77921 347.003 0.026775 863.594 272.545 0.00227939976 0.00575046414 0.0000871290 0.0000732932 6484089.712 6137052.129 6334444.713 306.03418 181.08545 177.46534 0.0003044222 167.17986 348.000 0.026852 862.884 272.459 0.00226407702 0.00578645669 0.0000867219 0.0000739321 6465417.581 6120153.328 6313547.902 308.89665 167.22145 176.71305 0.0003046541 168.46159 349.011 0.026930 862.183 272.376 0.00224842881 0.00582249855 0.0000862983 0.0000745721 6447010.835 6103567.955 6292930.292 311.80500 153.16522 175.97082 0.0003048704 169.63915 350.009 0.027007 861.509 272.298 0.00223285953 0.00585766359 0.0000858690 0.0000751964 6429339.681 6087719.037 6273119.327 314.68417 139.27925 175.25762 0.0003050654 170.68273 351.007 0.027084 860.852 272.225 0.00221717249 0.00589241463 0.0000854290 0.0000758131 6412163.185 6072388.384 6253845.964 317.57089 125.38546 174.56378 0.0003052421 171.60863 352.005 0.027161 860.213 272.157 0.00220137076 0.00592674980 0.0000849783 0.0000764221 6395479.653 6057573.870 6235108.990 320.46464 111.48587 173.88925 0.0003054004 172.41727 353.003 0.027238 859.591 272.093 0.00218545740 0.00596066724 0.0000845170 0.0000770231 6379287.418 6043273.417 6216907.187 323.36490 97.58248 173.23399 0.0003055401 173.10909 354.001 0.027315 858.988 272.033 0.00216943543 0.00599416514 0.0000840454 0.0000776160 6363584.844 6029484.993 6199239.342 326.27115 83.67727 172.59794 0.0003056614 173.68452 355.012 0.027393 858.394 271.977 0.00215309772 0.00602766846 0.0000835571 0.0000782082 6348175.939 6016037.514 6181885.214 329.22069 69.59163 171.97320 0.0003057653 174.14922 356.010 0.027470 857.826 271.926 0.00213686618 0.00606031635 0.0000830650 0.0000787842 6333454.211 6003273.830 6165288.570 332.13734 55.68870 171.37572 0.0003058492 174.49174 357.008 0.027547 857.276 271.879 0.00212053499 0.00609253931 0.0000825629 0.0000793515 6319217.409 5991016.344 6149222.279 335.05834 41.78982 170.79733 0.0003059144 174.71925 358.006 0.027624 856.744 271.837 0.00210410707 0.00612433556 0.0000820510 0.0000799101 6305464.031 5979263.222 6133685.175 337.98312 27.89690 170.23799 0.0003059610 174.83222 359.004 0.027701 856.229 271.799 0.00208758530 0.00615570336 0.0000815294 0.0000804596 6292192.615 5968012.677 6118676.108 340.91112 14.01183 169.69767 0.0003059890 174.83114 360.001 0.027778 855.733 271.766 0.00207097256 0.00618664094 0.0000809983 0.0000809999 6279401.737 5957262.974 6104193.954 343.84175 0.13651 169.17631 0.0003059983 174.71647 Engine speed (Hz) = 36.0000000000 Output power (W) = 6289.7126304912 Heat into heater (W) = 12378.3028321124 Heat to regenerator (W) = 4.9144057482 Heat removal from cooler (W) = 6090.3471707144 Approximate Pumping loss (W) = -3098.4808825234 Thermal efficiency (%) = 50.8123990486 The average engine pressure (Pa) = 8464568.9654275514 The exp space work per cycle (J) = 343.8686397427 The comp space work per cycle (J) = -169.1544000069 The net work per cycle (J) = 174.7142397359 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -940.3517331130 The expansion work for Vmin-to-Vmax (J) = 1115.0659728488 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 856.554 271.819 0.00207291529 0.00618125120 0.0000809927 0.0000810055 6291760.526 5952837.857 6107678.816 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.011 0.000076 856.077 271.792 0.00205619496 0.00621184358 0.0000804517 0.0000815370 6279487.341 5942705.252 6093654.425 2.92412 -13.88719 -0.50488 0.0003059887 -0.23823 2.010 0.000151 855.619 271.769 0.00203938808 0.00624200247 0.0000799014 0.0000820590 6267690.475 5933070.412 6080155.780 5.84975 -27.76165 -0.99083 0.0003059604 -0.58932 3.009 0.000226 855.178 271.750 0.00202249748 0.00627172605 0.0000793421 0.0000825713 6256368.623 5923931.750 6067181.870 8.77630 -41.62152 -1.45789 0.0003059135 -1.05277 4.008 0.000301 854.755 271.736 0.00200552595 0.00630101248 0.0000787740 0.0000830738 6245520.521 5915287.734 6054731.724 11.70316 -55.46494 -1.90610 0.0003058478 -1.62807 5.007 0.000376 854.350 271.727 0.00198847628 0.00632985990 0.0000781972 0.0000835663 6235144.957 5907136.883 6042804.403 14.62972 -69.29005 -2.33548 0.0003057635 -2.31470 6.006 0.000451 853.962 271.721 0.00197135125 0.00635826643 0.0000776119 0.0000840487 6225240.767 5899477.770 6031399.010 17.55536 -83.09502 -2.74607 0.0003056606 -3.11215 7.005 0.000526 853.593 271.721 0.00195415361 0.00638623016 0.0000770183 0.0000845208 6215806.837 5892309.017 6020514.692 20.47946 -96.87800 -3.13791 0.0003055391 -4.01987 8.004 0.000601 853.242 271.724 0.00193688610 0.00641374915 0.0000764166 0.0000849824 6206842.105 5885629.302 6010150.636 23.40138 -110.63715 -3.51101 0.0003053990 -5.03735 9.003 0.000676 852.909 271.732 0.00191955143 0.00644082143 0.0000758069 0.0000854335 6198345.563 5879437.352 6000306.079 26.32049 -124.37065 -3.86542 0.0003052404 -6.16404 10.002 0.000751 852.594 271.745 0.00190215232 0.00646744501 0.0000751894 0.0000858739 6190316.257 5873731.945 5990980.308 29.23614 -138.07668 -4.20115 0.0003050633 -7.39941 11.001 0.000826 852.297 271.761 0.00188469146 0.00649361784 0.0000745643 0.0000863035 6182753.291 5868511.910 5982172.660 32.14768 -151.75339 -4.51822 0.0003048678 -8.74289 12.013 0.000902 852.014 271.783 0.00186693756 0.00651967770 0.0000739234 0.0000867276 6175564.334 5863716.251 5973775.485 35.09317 -165.58070 -4.82052 0.0003046510 -10.21401 13.012 0.000977 851.753 271.809 0.00184936052 0.00654493665 0.0000732836 0.0000871350 6168937.779 5859470.085 5966009.205 37.99442 -179.19287 -5.10011 0.0003044186 -11.77350 14.011 0.001052 851.510 271.839 0.00183172980 0.00656973844 0.0000726368 0.0000875312 6162775.214 5855706.065 5958759.388 40.88956 -192.77023 -5.36110 0.0003041680 -13.43943 15.010 0.001127 851.286 271.874 0.00181404804 0.00659408083 0.0000719833 0.0000879160 6157075.981 5852423.216 5952025.602 43.77792 -206.31095 -5.60352 0.0003038993 -15.21123 16.009 0.001202 851.079 271.913 0.00179631791 0.00661796155 0.0000713231 0.0000882894 6151839.488 5849620.613 5945807.478 46.65880 -219.81320 -5.82737 0.0003036124 -17.08834 17.008 0.001277 850.891 271.957 0.00177854203 0.00664137824 0.0000706565 0.0000886512 6147065.203 5847297.373 5940104.710 49.53152 -233.27513 -6.03267 0.0003033076 -19.07016 18.007 0.001352 850.720 272.005 0.00176072305 0.00666432852 0.0000699837 0.0000890013 6142752.664 5845452.661 5934917.060 52.39538 -246.69492 -6.21942 0.0003029850 -21.15613 19.006 0.001427 850.568 272.057 0.00174286360 0.00668680992 0.0000693049 0.0000893396 6138901.476 5844085.683 5930244.357 55.24969 -260.07070 -6.38764 0.0003026445 -23.34565 20.005 0.001502 850.434 272.114 0.00172496630 0.00670881991 0.0000686203 0.0000896661 6135511.310 5843195.691 5926086.501 58.09373 -273.40062 -6.53732 0.0003022864 -25.63812 21.004 0.001577 850.318 272.175 0.00170703378 0.00673035589 0.0000679301 0.0000899805 6132581.912 5842781.972 5922443.465 60.92681 -286.68281 -6.66847 0.0003019106 -28.03296 22.003 0.001652 850.221 272.241 0.00168906866 0.00675141520 0.0000672345 0.0000902829 6130113.096 5842843.859 5919315.295 63.74819 -299.91541 -6.78109 0.0003015175 -30.52957 23.002 0.001727 850.141 272.311 0.00167107357 0.00677199508 0.0000665338 0.0000905731 6128104.754 5843380.716 5916702.112 66.55716 -313.09652 -6.87516 0.0003011069 -33.12732 24.001 0.001802 850.080 272.385 0.00165305114 0.00679209273 0.0000658281 0.0000908511 6126556.850 5844391.947 5914604.115 69.35299 -326.22425 -6.95069 0.0003006792 -35.82562 25.000 0.001877 850.037 272.464 0.00163500397 0.00681170523 0.0000651177 0.0000911167 6125469.426 5845876.988 5913021.584 72.13495 -339.29669 -7.00766 0.0003002344 -38.62384 26.013 0.001953 850.012 272.549 0.00161669365 0.00683108129 0.0000643932 0.0000913732 6124837.357 5847864.613 5911944.143 74.93909 -352.48507 -7.04645 0.0002997664 -41.56066 27.012 0.002028 850.005 272.637 0.00159860469 0.00684970790 0.0000636739 0.0000916137 6124677.482 5850302.006 5911400.593 77.69087 -365.44035 -7.06602 0.0002992876 -44.55816 28.011 0.002103 850.017 272.729 0.00158049893 0.00686784011 0.0000629505 0.0000918416 6124978.696 5853211.691 5911373.846 80.42653 -378.33451 -7.06698 0.0002987921 -47.65369 29.010 0.002178 850.047 272.826 0.00156237902 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35.004 0.002628 850.612 273.498 0.00145351131 0.00698063727 0.0000577910 0.0000930796 6140039.792 5886767.892 5925720.149 99.06096 -466.71453 -6.55051 0.0002948706 -72.01274 36.003 0.002703 850.770 273.626 0.00143536701 0.00699468902 0.0000570430 0.0000932047 6144050.498 5893440.959 5929857.638 101.64014 -479.04727 -6.40156 0.0002942477 -75.86897 37.002 0.002778 850.946 273.757 0.00141723002 0.00700821349 0.0000562929 0.0000933168 6148528.895 5900582.699 5934520.815 104.19623 -491.30047 -6.23369 0.0002936097 -79.81726 38.001 0.002853 851.141 273.893 0.00139910308 0.00702120647 0.0000555409 0.0000934158 6153476.210 5908192.708 5939711.164 106.72845 -503.47197 -6.04684 0.0002929567 -83.85689 39.013 0.002929 851.358 274.036 0.00138074752 0.00703382607 0.0000547773 0.0000935027 6158969.195 5916381.425 5945510.116 109.26925 -515.72017 -5.83807 0.0002922800 -88.04286 40.012 0.003004 851.590 274.180 0.00136264918 0.00704573569 0.0000540223 0.0000935753 6164864.765 5924932.900 5951766.794 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0.0000494764 0.0000937333 6210240.882 5986025.694 6000558.433 126.06001 -597.78586 -3.85633 0.0002872096 -119.44025 47.005 0.003529 853.733 275.313 0.00123663490 0.00711356875 0.0000487182 0.0000937134 6219489.569 5997831.819 6010586.964 128.34026 -609.11859 -3.49531 0.0002864315 -124.27048 48.004 0.003604 854.114 275.491 0.00121876366 0.00712097748 0.0000479604 0.0000936802 6229226.253 6010099.426 6021164.380 130.58838 -620.34627 -3.11452 0.0002856407 -129.18463 49.003 0.003679 854.513 275.674 0.00120093392 0.00712779879 0.0000472034 0.0000936339 6239453.670 6022827.243 6032293.705 132.80354 -631.46635 -2.71386 0.0002848373 -134.18189 50.002 0.003754 854.932 275.861 0.00118314870 0.00713402646 0.0000464473 0.0000935743 6250174.753 6036013.784 6043978.177 134.98485 -642.47623 -2.29322 0.0002840216 -139.26146 51.001 0.003829 855.369 276.052 0.00116541105 0.00713965400 0.0000456923 0.0000935016 6261392.654 6049657.304 6056221.283 137.13146 -653.37326 -1.85247 0.0002831940 -144.42253 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877.051 274.383 0.00249405613 0.00515532505 0.0000918364 0.0000629676 6835935.658 6447309.278 6719105.915 262.88243 386.29175 193.12750 0.0002988039 129.88533 333.012 0.025001 876.088 274.232 0.00248101359 0.00519725301 0.0000916082 0.0000636909 6809644.808 6422383.714 6689903.272 265.55480 372.87663 192.07620 0.0002992990 132.98423 334.011 0.025076 875.141 274.085 0.00246779447 0.00523880991 0.0000913674 0.0000644101 6783878.736 6398019.062 6661254.284 268.24189 359.41408 191.04484 0.0002997774 135.95955 335.010 0.025151 874.212 273.942 0.00245440241 0.00527999254 0.0000911140 0.0000651250 6758635.586 6374212.620 6633158.512 270.94337 345.90664 190.03339 0.0003002390 138.81151 336.009 0.025226 873.299 273.804 0.00244084103 0.00532079782 0.0000908483 0.0000658353 6733913.488 6350961.703 6605615.430 273.65890 332.35680 189.04184 0.0003006836 141.54035 337.008 0.025301 872.403 273.670 0.00242711388 0.00536122276 0.0000905702 0.0000665410 6709710.563 6328263.640 6578624.433 276.38814 318.76702 188.07016 0.0003011112 144.14633 338.007 0.025376 871.524 273.541 0.00241322452 0.00540126451 0.0000902799 0.0000672416 6686024.927 6306115.781 6552184.839 279.13070 305.13972 187.11834 0.0003015215 146.62972 339.006 0.025451 870.662 273.417 0.00239917644 0.00544092031 0.0000899774 0.0000679372 6662854.689 6284515.499 6526295.900 281.88622 291.47729 186.18634 0.0003019145 148.99079 340.005 0.025526 869.817 273.296 0.00238497312 0.00548018747 0.0000896628 0.0000686273 6640197.960 6263460.194 6500956.806 284.65431 277.78208 185.27413 0.0003022901 151.22984 341.004 0.025601 868.989 273.181 0.00237061798 0.00551906343 0.0000893362 0.0000693118 6618052.850 6242947.290 6476166.687 287.43456 264.05643 184.38168 0.0003026481 153.34719 342.003 0.025676 868.178 273.069 0.00235611445 0.00555754570 0.0000889978 0.0000699906 6596417.475 6222974.247 6451924.623 290.22657 250.30262 183.50897 0.0003029883 155.34316 343.002 0.025751 867.385 272.962 0.00234146587 0.00559563186 0.0000886475 0.0000706633 6575289.957 6203538.551 6428229.647 293.02991 236.52291 182.65595 0.0003033108 157.21808 344.001 0.025826 866.608 272.860 0.00232667560 0.00563331957 0.0000882856 0.0000713298 6554668.429 6184637.729 6405080.748 295.84415 222.71954 181.82259 0.0003036154 158.97230 345.013 0.025902 865.839 272.760 0.00231154696 0.00567110100 0.0000879071 0.0000719987 6534286.199 6166028.013 6382179.175 298.70658 208.71025 180.99813 0.0003039058 160.62715 346.012 0.025977 865.098 272.666 0.00229648139 0.00570797968 0.0000875220 0.0000726521 6514677.778 6148196.705 6360126.509 301.54141 194.86590 180.20424 0.0003041741 162.13945 347.011 0.026052 864.374 272.577 0.00228128399 0.00574445326 0.0000871256 0.0000732987 6495569.797 6130893.036 6338616.677 304.38577 181.00445 179.42988 0.0003044243 163.53216 348.010 0.026127 863.667 272.492 0.00226595795 0.00578051965 0.0000867179 0.0000739383 6476960.447 6114114.685 6317648.550 307.23920 167.12802 178.67503 0.0003046563 164.80567 349.009 0.026202 862.978 272.412 0.00225050647 0.00581617680 0.0000862992 0.0000745707 6458847.942 6097859.375 6297220.983 310.10120 153.23873 177.93964 0.0003048699 165.96038 350.008 0.026277 862.306 272.336 0.00223493269 0.00585142271 0.0000858695 0.0000751957 6441230.517 6082124.873 6277332.814 312.97129 139.33863 177.22366 0.0003050652 166.99669 351.007 0.026352 861.652 272.264 0.00221923973 0.00588625542 0.0000854290 0.0000758131 6424106.432 6066908.991 6257982.871 315.84897 125.42980 176.52707 0.0003052421 167.91503 352.006 0.026427 861.016 272.197 0.00220343068 0.00592067300 0.0000849778 0.0000764227 6407473.973 6052209.588 6239169.979 318.73372 111.51426 175.84980 0.0003054005 168.71582 353.005 0.026502 860.397 272.134 0.00218750861 0.00595467356 0.0000845160 0.0000770244 6391331.455 6038024.569 6220892.957 321.62503 97.59403 175.19183 0.0003055404 169.39950 354.004 0.026577 859.795 272.076 0.00217147655 0.00598825522 0.0000840438 0.0000776179 6375677.223 6024351.889 6203150.629 324.52237 83.67111 174.55311 0.0003056618 169.96650 355.003 0.026652 859.212 272.022 0.00215533751 0.00602141613 0.0000835613 0.0000782031 6360509.654 6011189.551 6185941.822 327.42520 69.74747 173.93359 0.0003057645 170.41728 356.002 0.026727 858.646 271.973 0.00213909448 0.00605415445 0.0000830687 0.0000787799 6345827.159 5998535.607 6169265.375 330.33299 55.82507 173.33324 0.0003058486 170.75230 357.001 0.026802 858.098 271.927 0.00212275041 0.00608646838 0.0000825662 0.0000793479 6331628.183 5986388.161 6153120.135 333.24517 41.90585 172.75201 0.0003059140 170.97202 358.000 0.026877 857.567 271.887 0.00210630824 0.00611835609 0.0000820538 0.0000799071 6317911.211 5974745.367 6137504.969 336.16120 27.99175 172.18986 0.0003059608 171.07692 359.013 0.026953 857.048 271.850 0.00208954975 0.00615023235 0.0000815246 0.0000804645 6304501.517 5963460.286 6122221.179 339.11943 13.89930 171.63965 0.0003059891 171.06657 360.012 0.027028 856.553 271.818 0.00207291887 0.00618125647 0.0000809929 0.0000810054 6291750.533 5952828.133 6107669.866 342.04146 0.00129 171.11580 0.0003059983 170.94174 Engine speed (Hz) = 37.0000000000 Output power (W) = 6324.7545018213 Heat into heater (W) = 12655.5339185268 Heat to regenerator (W) = 0.0476537959 Heat removal from cooler (W) = 6331.2845461747 Approximate Pumping loss (W) = -3344.2690212671 Thermal efficiency (%) = 49.9761965203 The average engine pressure (Pa) = 8466230.5399920419 The exp space work per cycle (J) = 342.0057276273 The comp space work per cycle (J) = -171.0664167673 The net work per cycle (J) = 170.9393108600 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -942.2540139771 The expansion work for Vmin-to-Vmax (J) = 1113.1933248371 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 857.397 271.872 0.00207508016 0.00617541065 0.0000809929 0.0000810053 6304513.938 5948384.489 6111394.867 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.010 0.000074 856.923 271.846 0.00205836603 0.00620605123 0.0000804521 0.0000815367 6292294.962 5938380.784 6097315.470 2.91099 -13.89055 -0.50686 0.0003059887 -0.24729 2.009 0.000147 856.467 271.825 0.00204156427 0.00623625993 0.0000799020 0.0000820585 6280549.395 5928873.687 6083761.290 5.82355 -27.76922 -0.99481 0.0003059605 -0.60739 3.007 0.000220 856.028 271.808 0.00202467772 0.00626603488 0.0000793430 0.0000825706 6269275.918 5919861.613 6070731.354 8.73708 -41.63412 -1.46389 0.0003059136 -1.07981 4.006 0.000293 855.607 271.795 0.00200770919 0.00629537418 0.0000787751 0.0000830729 6258473.260 5911343.030 6058224.725 11.65099 -55.48339 -1.91413 0.0003058480 -1.66403 5.005 0.000366 855.204 271.787 0.00199066148 0.00632427594 0.0000781985 0.0000835653 6248140.198 5903316.458 6046240.498 14.56466 -69.31517 -2.34556 0.0003057637 -2.35955 6.003 0.000439 854.819 271.784 0.00197353736 0.00635273823 0.0000776134 0.0000840475 6238275.555 5895780.471 6034777.811 17.47748 -83.12759 -2.75821 0.0003056609 -3.16583 7.002 0.000512 854.452 271.784 0.00195633959 0.00638075910 0.0000770201 0.0000845194 6228878.210 5888733.692 6023835.842 20.38882 -96.91881 -3.15212 0.0003055395 -4.08235 8.001 0.000585 854.102 271.789 0.00193907093 0.00640833658 0.0000764185 0.0000849810 6219947.091 5882174.799 6013413.812 23.29806 -110.68698 -3.52732 0.0003053995 -5.10857 9.013 0.000659 853.766 271.799 0.00192149616 0.00643583722 0.0000758007 0.0000854380 6211368.433 5876022.710 6003378.937 26.24435 -124.61833 -3.88857 0.0003052387 -6.26027 10.012 0.000732 853.453 271.813 0.00190409303 0.00646251569 0.0000751833 0.0000858782 6203373.120 5870442.465 5994001.740 29.14740 -138.33449 -4.22615 0.0003050615 -7.50577 11.010 0.000805 853.157 271.831 0.00188662720 0.00648874459 0.0000745584 0.0000863075 6195841.135 5865346.425 5985142.430 32.04642 -152.02205 -4.54509 0.0003048659 -8.85934 12.009 0.000878 852.879 271.854 0.00186910138 0.00651452179 0.0000739261 0.0000867259 6188771.629 5860733.471 5976800.430 34.94073 -165.67917 -4.84540 0.0003046520 -10.32043 13.008 0.000951 852.620 271.882 0.00185151826 0.00653984512 0.0000732866 0.0000871331 6182163.815 5856602.532 5968975.221 37.82969 -179.30400 -5.12711 0.0003044197 -11.88847 14.006 0.001024 852.378 271.913 0.00183388052 0.00656471234 0.0000726401 0.0000875292 6176016.966 5852952.584 5961666.340 40.71261 -192.89471 -5.39023 0.0003041693 -13.56290 15.005 0.001097 852.154 271.949 0.00181619083 0.00658912120 0.0000719868 0.0000879139 6170330.417 5849782.649 5954873.386 43.58882 -206.44945 -5.63477 0.0003039008 -15.34315 16.003 0.001170 851.948 271.990 0.00179845186 0.00661306935 0.0000713269 0.0000882872 6165103.566 5847091.799 5948596.019 46.45764 -219.96637 -5.86076 0.0003036141 -17.22866 17.002 0.001243 851.760 272.035 0.00178066626 0.00663655440 0.0000706606 0.0000886490 6160335.878 5844879.148 5942833.965 49.31839 -233.44361 -6.06819 0.0003033096 -19.21883 18.001 0.001316 851.590 272.084 0.00176283670 0.00665957392 0.0000699881 0.0000889990 6156026.883 5843143.853 5937587.015 52.17037 -246.87931 -6.25708 0.0003029871 -21.31309 19.013 0.001390 851.436 272.139 0.00174472074 0.00668243105 0.0000693002 0.0000893419 6152126.610 5841871.179 5932793.783 55.05175 -260.45476 -6.42964 0.0003026421 -23.54168 20.012 0.001463 851.302 272.197 0.00172681068 0.00670450541 0.0000686158 0.0000896681 6148740.139 5841094.754 5928583.747 57.88395 -273.80114 -6.58120 0.0003022840 -25.84375 21.010 0.001536 851.187 272.260 0.00170886463 0.00672610646 0.0000679259 0.0000899824 6145811.365 5840793.401 5924888.610 60.70524 -287.10033 -6.71423 0.0003019083 -28.24811 22.009 0.001609 851.089 272.327 0.00169088524 0.00674723146 0.0000672305 0.0000902846 6143340.102 5840966.438 5921708.452 63.51493 -300.35044 -6.82871 0.0003015151 -30.75418 23.008 0.001682 851.009 272.399 0.00167287516 0.00676787762 0.0000665300 0.0000905747 6141326.240 5841613.220 5919043.427 66.31229 -313.54956 -6.92465 0.0003011047 -33.36132 24.006 0.001755 850.948 272.475 0.00165483702 0.00678804206 0.0000658246 0.0000908525 6139769.744 5842733.136 5916893.768 69.09658 -326.69577 -7.00204 0.0003006770 -36.06894 25.005 0.001828 850.904 272.555 0.00163677349 0.00680772182 0.0000651144 0.0000911179 6138670.656 5844325.607 5915259.788 71.86708 -339.78714 -7.06086 0.0003002323 -38.87641 26.004 0.001901 850.879 272.640 0.00161868722 0.00682691386 0.0000643997 0.0000913709 6138029.101 5846390.084 5914141.883 74.62304 -352.82173 -7.10111 0.0002997706 -41.78311 27.002 0.001974 850.871 272.729 0.00160058085 0.00684561505 0.0000636806 0.0000916115 6137845.285 5848926.042 5913540.530 77.36373 -365.79758 -7.12276 0.0002992921 -44.78841 28.001 0.002047 850.882 272.823 0.00158245705 0.00686382216 0.0000629576 0.0000918394 6138119.495 5851932.983 5913456.295 80.08839 -378.71271 -7.12579 0.0002987970 -47.89166 29.013 0.002121 850.911 272.922 0.00156406993 0.00688177102 0.0000622206 0.0000920576 6138865.328 5855461.331 5913899.367 82.83325 -391.74075 -7.10984 0.0002982783 -51.13676 30.012 0.002194 850.959 273.025 0.00154591914 0.00689897308 0.0000614900 0.0000922601 6140063.096 5859415.261 5914858.521 85.52334 -404.52755 -7.07531 0.0002977501 -54.43533 31.010 0.002267 851.024 273.131 0.00152775899 0.00691567078 0.0000607559 0.0000924498 6141720.291 5863838.789 5916337.031 88.19511 -417.24758 -7.02208 0.0002972057 -57.82992 32.009 0.002340 851.108 273.243 0.00150959216 0.00693186052 0.0000600187 0.0000926266 6143837.561 5868731.480 5918335.826 90.84779 -429.89878 -6.95013 0.0002966453 -61.31985 33.008 0.002413 851.209 273.358 0.00149142137 0.00694753859 0.0000592784 0.0000927906 6146415.647 5874092.911 5920855.929 93.48061 -442.47910 -6.85940 0.0002960691 -64.90448 34.006 0.002486 851.329 273.478 0.00147324932 0.00696270116 0.0000585354 0.0000929417 6149455.390 5879922.659 5923898.463 96.09279 -454.98643 -6.74987 0.0002954771 -68.58312 35.005 0.002559 851.467 273.602 0.00145507874 0.00697734429 0.0000577900 0.0000930798 6152957.729 5886220.299 5927464.650 98.68353 -467.41867 -6.62149 0.0002948697 -72.35509 36.004 0.002632 851.623 273.731 0.00143691238 0.00699146393 0.0000570422 0.0000932049 6156923.708 5892985.402 5931555.817 101.25206 -479.77367 -6.47421 0.0002942470 -76.21972 37.002 0.002705 851.798 273.864 0.00141875297 0.00700505591 0.0000562923 0.0000933169 6161354.475 5900217.524 5936173.395 103.79757 -492.04927 -6.30797 0.0002936092 -80.17631 38.001 0.002778 851.991 274.001 0.00140060331 0.00701811594 0.0000555406 0.0000934158 6166251.291 5907916.203 5941318.925 106.31927 -504.24329 -6.12273 0.0002929565 -84.22416 39.013 0.002852 852.205 274.145 0.00138221780 0.00703080742 0.0000547770 0.0000935028 6171692.262 5916196.031 5947075.487 108.85038 -516.51880 -5.91550 0.0002922797 -88.41988 40.012 0.002925 852.435 274.291 0.00136409621 0.00704278271 0.0000540223 0.0000935753 6177531.842 5924832.703 5953289.288 111.32167 -528.54177 -5.69180 0.0002915975 -92.64935 41.010 0.002998 852.683 274.441 0.00134599279 0.00705421233 0.0000532664 0.0000936346 6183841.964 5933934.353 5960036.381 113.76672 -540.47639 -5.44891 0.0002909010 -96.96793 42.009 0.003071 852.949 274.595 0.00132791039 0.00706509143 0.0000525097 0.0000936807 6190624.368 5943500.366 5967318.780 116.18469 -552.32034 -5.18674 0.0002901904 -101.37488 43.008 0.003144 853.234 274.754 0.00130985188 0.00707541504 0.0000517522 0.0000937137 6197880.925 5953530.065 5975138.635 118.57476 -564.07128 -4.90522 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504.28500 205.54685 0.0002936172 92.81795 324.009 0.023685 886.052 275.759 0.00259313645 0.00479965983 0.0000932034 0.0000570514 7075130.652 6658174.501 6978508.638 240.61020 491.44686 204.31544 0.0002942548 97.02804 325.007 0.023758 884.964 275.572 0.00258168657 0.00484439943 0.0000930782 0.0000577992 7044710.099 6628810.975 6944853.339 243.14184 478.53598 203.10385 0.0002948773 101.11344 326.006 0.023831 883.892 275.390 0.00257002912 0.00488880155 0.0000929399 0.0000585446 7014826.436 6600029.847 6911749.061 245.69025 465.55525 201.91210 0.0002954846 105.07420 327.005 0.023904 882.836 275.213 0.00255816798 0.00493286179 0.0000927887 0.0000592876 6985477.971 6571828.374 6879196.349 248.25521 452.50749 200.74020 0.0002960763 108.91039 328.003 0.023977 881.797 275.040 0.00254610700 0.00497657589 0.0000926245 0.0000600278 6956662.974 6544203.794 6847195.612 250.83650 439.39551 199.58817 0.0002966523 112.62211 329.002 0.024050 880.773 274.872 0.00253384998 0.00501993978 0.0000924475 0.0000607650 6928379.681 6517153.338 6815747.120 253.43387 426.22206 198.45603 0.0002972125 116.20947 330.000 0.024123 879.766 274.709 0.00252140072 0.00506294953 0.0000922577 0.0000614990 6900626.296 6490674.231 6784851.019 256.04706 412.98985 197.34377 0.0002977567 119.67259 331.013 0.024197 878.762 274.548 0.00250858853 0.00510618314 0.0000920522 0.0000622396 6873031.707 6464412.688 6754095.506 258.71193 399.51914 196.23657 0.0002982918 123.05652 332.011 0.024270 877.788 274.393 0.00249576346 0.00514846846 0.0000918367 0.0000629665 6846339.847 6439075.676 6724311.722 261.35616 386.17667 195.16435 0.0002988032 126.26996 333.010 0.024343 876.830 274.243 0.00248275733 0.00519038870 0.0000916086 0.0000636896 6820172.339 6414301.652 6695080.077 264.01535 372.78336 194.11201 0.0002992981 129.35968 334.009 0.024416 875.889 274.098 0.00246957379 0.00523194050 0.0000913679 0.0000644085 6794527.300 6390087.857 6666400.277 266.68920 359.34179 193.07954 0.0002997764 132.32589 335.007 0.024489 874.964 273.957 0.00245621645 0.00527312063 0.0000911147 0.0000651232 6769402.835 6366431.547 6638271.939 269.37739 345.85446 192.06692 0.0003002379 135.16881 336.006 0.024562 874.056 273.820 0.00244268889 0.00531392597 0.0000908491 0.0000658333 6744797.038 6343329.994 6610694.590 272.07957 332.32386 191.07414 0.0003006824 137.88867 337.005 0.024635 873.165 273.688 0.00242899467 0.00535435352 0.0000905712 0.0000665387 6720707.995 6320780.490 6583667.679 274.79541 318.75244 190.10117 0.0003011098 140.48573 338.003 0.024708 872.291 273.561 0.00241513729 0.00539440038 0.0000902810 0.0000672391 6697133.788 6298780.350 6557190.579 277.52453 305.14261 189.14799 0.0003015201 142.96026 339.002 0.024781 871.434 273.437 0.00240112025 0.00543406375 0.0000899786 0.0000679344 6674072.496 6277326.914 6531262.596 280.26656 291.49675 188.21459 0.0003019130 145.31253 340.001 0.024854 870.593 273.319 0.00238694699 0.00547334095 0.0000896642 0.0000686243 6651522.199 6256417.551 6505882.969 283.02113 277.81722 187.30092 0.0003022885 147.54285 341.013 0.024928 869.759 273.203 0.00237242363 0.00551275936 0.0000893332 0.0000693180 6629182.573 6235774.395 6480714.515 285.82582 263.91830 186.39485 0.0003026512 149.67955 342.012 0.025001 868.953 273.093 0.00235794613 0.00555125107 0.0000889948 0.0000699964 6607655.458 6215952.772 6456436.582 288.60442 250.17795 185.52085 0.0003029912 151.66523 343.010 0.025074 868.164 272.988 0.00234332261 0.00558934898 0.0000886446 0.0000706689 6586633.583 6196667.484 6432704.391 291.39432 236.41082 184.66649 0.0003033134 153.52992 344.009 0.025147 867.392 272.887 0.00232855640 0.00562705072 0.0000882827 0.0000713351 6566115.057 6177916.033 6409516.982 294.19511 222.61914 183.83174 0.0003036178 155.27396 345.007 0.025220 866.637 272.790 0.00231365078 0.00566435399 0.0000879093 0.0000719949 6546098.001 6159695.963 6386873.358 297.00633 208.80510 183.01657 0.0003039042 156.89772 346.006 0.025293 865.900 272.698 0.00229860903 0.00570125654 0.0000875244 0.0000726481 6526580.551 6142004.854 6364772.490 299.82755 194.97089 182.22094 0.0003041725 158.40155 347.005 0.025366 865.180 272.610 0.00228343435 0.00573775619 0.0000871282 0.0000732946 6507560.862 6124840.331 6343213.318 302.65831 181.11864 181.44481 0.0003044227 159.78584 348.003 0.025439 864.477 272.527 0.00226812997 0.00577385081 0.0000867208 0.0000739340 6489037.107 6108200.058 6322194.763 305.49813 167.25050 180.68814 0.0003046547 161.05098 349.002 0.025512 863.792 272.448 0.00225269904 0.00580953832 0.0000863023 0.0000745662 6471007.480 6092081.747 6301715.724 308.34654 153.36856 179.95090 0.0003048684 162.19736 350.001 0.025585 863.124 272.374 0.00223714471 0.00584481668 0.0000858728 0.0000751910 6453470.200 6076483.154 6281775.084 311.20305 139.47489 179.23303 0.0003050638 163.22540 351.013 0.025659 862.464 272.303 0.00222125455 0.00588015866 0.0000854264 0.0000758166 6436193.392 6061199.075 6262109.643 314.10646 125.38105 178.52508 0.0003052431 164.14715 352.012 0.025732 861.831 272.237 0.00220546115 0.00591460708 0.0000849753 0.0000764260 6419642.248 6046640.419 6243249.754 316.97777 111.47001 177.84612 0.0003054013 164.93814 353.010 0.025805 861.216 272.176 0.00218955365 0.00594864042 0.0000845137 0.0000770274 6403578.242 6032595.005 6224924.853 319.85566 97.55339 177.18643 0.0003055411 165.61206 354.009 0.025878 860.618 272.119 0.00217353508 0.00598225677 0.0000840416 0.0000776207 6387999.704 6019060.781 6207133.805 322.73960 83.63318 176.54595 0.0003056623 166.16936 355.008 0.025951 860.038 272.067 0.00215740846 0.00601545425 0.0000835592 0.0000782057 6372904.997 6006035.747 6189875.480 325.62907 69.71137 175.92465 0.0003057649 166.61049 356.006 0.026024 859.475 272.019 0.00214117676 0.00604823097 0.0000830668 0.0000787821 6358292.520 5993517.951 6173148.756 328.52352 55.78993 175.32249 0.0003058489 166.93589 357.005 0.026097 858.930 271.975 0.00212484294 0.00608058509 0.0000825643 0.0000793499 6344160.706 5981505.496 6156952.521 331.42240 41.87080 174.73942 0.0003059142 167.14605 358.003 0.026170 858.403 271.936 0.00210840995 0.00611251474 0.0000820521 0.0000799089 6330508.026 5969996.532 6141285.680 334.32517 27.95593 174.17542 0.0003059609 167.24143 359.002 0.026243 857.893 271.902 0.00209188068 0.00614401808 0.0000815302 0.0000804588 6317332.988 5958989.264 6126147.156 337.23125 14.04722 173.63043 0.0003059890 167.22250 360.001 0.026316 857.401 271.871 0.00207525804 0.00617509327 0.0000809987 0.0000809996 6304634.145 5948481.950 6111535.893 340.14007 0.14659 173.10442 0.0003059983 167.08976 Engine speed (Hz) = 38.0000000000 Output power (W) = 6349.3119535733 Heat into heater (W) = 12925.3225191552 Heat to regenerator (W) = 5.5703905840 Heat removal from cooler (W) = 6577.9681102985 Approximate Pumping loss (W) = -3601.9721128846 Thermal efficiency (%) = 49.1230446603 The average engine pressure (Pa) = 8467582.1426332016 The exp space work per cycle (J) = 340.1689177387 The comp space work per cycle (J) = -173.0817610657 The net work per cycle (J) = 167.0871566730 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -944.2010569664 The expansion work for Vmin-to-Vmax (J) = 1111.2882136394 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 0.000001 858.256 271.925 0.00207726445 0.00616948098 0.0000809924 0.0000810059 6317519.091 5943786.981 6115181.371 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.009 0.000072 857.785 271.901 0.00206058113 0.00620012566 0.0000804525 0.0000815363 6305375.744 5933928.582 6101066.697 2.89337 -13.87361 -0.50813 0.0003059887 -0.25626 2.006 0.000143 857.332 271.881 0.00204380933 0.00623034133 0.0000799034 0.0000820572 6293701.493 5924564.234 6087475.174 5.78835 -27.73623 -0.99742 0.0003059606 -0.62498 3.003 0.000214 856.897 271.866 0.00202695189 0.00626012610 0.0000793454 0.0000825684 6282495.011 5915692.360 6074405.872 8.68436 -41.58597 -1.46792 0.0003059138 -1.10564 4.014 0.000286 856.473 271.855 0.00200977245 0.00628988836 0.0000787705 0.0000830769 6271607.077 5907196.892 6061684.877 11.62161 -55.61572 -1.92587 0.0003058474 -1.70688 5.011 0.000357 856.073 271.848 0.00199275102 0.00631879941 0.0000781949 0.0000835682 6261338.887 5899312.326 6049664.675 14.51787 -69.43386 -2.35860 0.0003057632 -2.41147 6.008 0.000428 855.691 271.846 0.00197565236 0.00634727372 0.0000776109 0.0000840495 6251534.754 5891915.796 6038164.093 17.41335 -83.23352 -2.77262 0.0003056604 -3.22647 7.005 0.000499 855.326 271.848 0.00195847924 0.00637530931 0.0000770185 0.0000845206 6242193.546 5885005.935 6027182.344 20.30742 -97.01282 -3.16796 0.0003055391 -4.15134 8.001 0.000570 854.979 271.855 0.00194123439 0.00640290415 0.0000764181 0.0000849813 6233314.185 5878581.425 6016718.689 23.19946 -110.76992 -3.54466 0.0003053994 -5.18555 9.012 0.000642 854.645 271.866 0.00192367621 0.00643043545 0.0000758011 0.0000854377 6224780.359 5872560.785 6006636.036 26.12950 -124.69622 -3.90763 0.0003052388 -6.34545 10.009 0.000713 854.334 271.882 0.00190629519 0.00645713636 0.0000751849 0.0000858771 6216828.138 5867110.025 5997213.803 29.01552 -138.40300 -4.24683 0.0003050620 -7.59826 11.006 0.000784 854.040 271.901 0.00188885065 0.00648339024 0.0000745611 0.0000863057 6209334.838 5862140.954 5988307.718 31.89758 -152.08202 -4.56745 0.0003048668 -8.95878 12.003 0.000855 853.764 271.926 0.00187134529 0.00650919493 0.0000739300 0.0000867233 6202299.606 5857652.456 5979917.238 34.77504 -165.73143 -4.86951 0.0003046533 -10.42646 13.014 0.000927 853.502 271.955 0.00185353404 0.00653490208 0.0000732827 0.0000871356 6195632.258 5853590.418 5971934.631 37.68764 -179.54094 -5.15688 0.0003044183 -12.02367 14.010 0.000998 853.262 271.988 0.00183591436 0.00655979530 0.0000726373 0.0000875309 6189517.254 5850066.641 5964581.204 40.55381 -193.12509 -5.42161 0.0003041682 -13.70548 15.007 0.001069 853.039 272.026 0.00181824196 0.00658423253 0.0000719852 0.0000879149 6183858.102 5847020.359 5957742.092 43.41337 -206.67405 -5.66781 0.0003039001 -15.49276 16.004 0.001140 852.834 272.068 0.00180051950 0.00660821138 0.0000713264 0.0000882875 6178654.193 5844450.644 5951416.989 46.26565 -220.18595 -5.89552 0.0003036139 -17.38493 17.001 0.001211 852.647 272.114 0.00178274966 0.00663172943 0.0000706613 0.0000886486 6173904.983 5842356.609 5945605.653 49.10995 -233.65895 -6.10473 0.0003033099 -19.38141 18.012 0.001283 852.476 272.166 0.00176468388 0.00665510559 0.0000699805 0.0000890029 6169552.746 5840717.994 5940236.959 51.98547 -247.28004 -6.29800 0.0003029834 -21.51194 19.009 0.001354 852.325 272.221 0.00174682667 0.00667768793 0.0000693032 0.0000893405 6165717.963 5839579.503 5935459.928 54.81162 -260.66897 -6.46997 0.0003026436 -23.71675 20.006 0.001425 852.191 272.281 0.00172893010 0.00669980178 0.0000686200 0.0000896662 6162336.653 5838914.273 5931196.344 57.62770 -274.01333 -6.62346 0.0003022862 -26.02410 21.002 0.001496 852.076 272.345 0.00171099680 0.00672144443 0.0000679313 0.0000899800 6159408.550 5838721.582 5927446.242 60.43302 -287.31121 -6.75846 0.0003019113 -28.43340 22.013 0.001568 851.977 272.414 0.00169277616 0.00674290789 0.0000672275 0.0000902859 6156901.837 5839008.036 5924167.817 63.26611 -300.74698 -6.87649 0.0003015134 -30.98013 23.010 0.001639 851.897 272.487 0.00167477699 0.00676359306 0.0000665282 0.0000905754 6154886.028 5839765.019 5921452.324 66.04755 -313.94547 -6.97425 0.0003011036 -33.59293 24.007 0.001710 851.835 272.565 0.00165674911 0.00678379847 0.0000658240 0.0000908527 6153323.080 5840992.564 5919250.881 68.81605 -327.09170 -7.05350 0.0003006767 -36.30584 25.004 0.001781 851.791 272.646 0.00163869518 0.00680352112 0.0000651151 0.0000911176 6152213.033 5842690.079 5917563.832 71.57089 -340.18374 -7.11423 0.0003002328 -39.11825 26.001 0.001852 851.765 272.732 0.00162061788 0.00682275791 0.0000644017 0.0000913702 6151556.010 5844856.998 5916391.607 74.31132 -353.21962 -7.15643 0.0002997719 -42.02953 27.012 0.001924 851.757 272.824 0.00160226482 0.00684176623 0.0000636739 0.0000916137 6151352.583 5847533.249 5915729.149 77.07487 -366.37973 -7.18028 0.0002992876 -45.08214 28.008 0.001995 851.767 272.919 0.00158414854 0.00686001474 0.0000629521 0.0000918411 6151608.697 5850643.967 5915595.466 79.78403 -379.29651 -7.18509 0.0002987932 -48.19065 29.005 0.002066 851.795 273.018 0.00156601695 0.00687776754 0.0000622264 0.0000920560 6152318.713 5854222.521 5915978.416 82.47653 -392.15113 -7.17131 0.0002982824 -51.39612 30.002 0.002137 851.841 273.122 0.00154787273 0.00689502118 0.0000614971 0.0000922582 6153483.099 5858268.426 5916878.777 85.15162 -404.94156 -7.13889 0.0002977553 -54.69791 31.013 0.002209 851.906 273.232 0.00152946284 0.00691200441 0.0000607541 0.0000924502 6155128.475 5862848.101 5918321.108 87.84581 -417.84451 -7.08697 0.0002972043 -58.14388 32.010 0.002280 851.988 273.344 0.00151130141 0.00692824176 0.0000600181 0.0000926268 6157209.797 5867833.863 5920266.321 90.48351 -430.49945 -7.01694 0.0002966449 -61.63767 33.007 0.002351 852.088 273.461 0.00149313552 0.00694396889 0.0000592792 0.0000927905 6159747.468 5873285.569 5922731.862 93.10147 -443.08399 -6.92818 0.0002960697 -65.22579 34.003 0.002422 852.206 273.582 0.00147496791 0.00695918191 0.0000585376 0.0000929413 6162742.339 5879202.757 5925718.894 95.69892 -455.59601 -6.82065 0.0002954789 -68.90757 35.000 0.002493 852.342 273.707 0.00145680132 0.00697387684 0.0000577935 0.0000930792 6166195.365 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7382352.464 6938944.869 7312498.007 217.19511 603.71486 218.22433 0.0002879800 50.99555 316.011 0.022508 895.989 277.409 0.00267795636 0.00442310347 0.0000937332 0.0000510075 7346733.704 6903926.811 7273448.962 219.58682 591.45080 216.81856 0.0002887407 56.25941 317.008 0.022579 894.785 277.186 0.00266837288 0.00447024333 0.0000937133 0.0000517640 7312160.617 6870003.773 7235480.145 221.96324 579.25874 215.45169 0.0002894773 61.32554 318.005 0.022650 893.596 276.968 0.00265855021 0.00451709184 0.0000936802 0.0000525201 7278133.376 6836682.693 7198047.674 224.35737 566.97223 214.10412 0.0002902003 66.26775 319.001 0.022721 892.422 276.755 0.00264849240 0.00456364300 0.0000936340 0.0000532755 7244650.646 6803961.070 7161153.554 226.76914 554.59445 212.77593 0.0002909095 71.08593 320.012 0.022793 891.247 276.544 0.00263805691 0.00461054020 0.0000935737 0.0000540406 7211250.960 6771388.132 7124291.423 229.23279 541.95229 211.44889 0.0002916142 75.84519 321.009 0.022864 890.104 276.340 0.00262753765 0.00465647510 0.0000935010 0.0000547939 7178860.605 6739866.033 7088486.850 231.67976 529.40005 210.15993 0.0002922949 80.41326 322.006 0.022935 888.977 276.142 0.00261679525 0.00470209584 0.0000934152 0.0000555458 7147010.357 6708935.510 7053225.467 234.14403 516.76575 208.89052 0.0002929610 84.85708 323.003 0.023006 887.865 275.947 0.00260583367 0.00474739726 0.0000933164 0.0000562962 7115698.640 6678593.859 7018508.510 236.62544 504.05239 207.64071 0.0002936125 89.17661 324.014 0.023078 886.753 275.755 0.00259449785 0.00479300555 0.0000932028 0.0000570552 7084494.210 6648423.422 6983859.655 239.15913 491.08223 206.39335 0.0002942580 93.43007 325.011 0.023149 885.673 275.571 0.00258310661 0.00483764899 0.0000930777 0.0000578016 7054262.167 6619259.467 6950242.283 241.67456 478.21847 205.18312 0.0002948793 97.49933 326.007 0.023220 884.608 275.391 0.00257150786 0.00488195872 0.0000929397 0.0000585457 7024563.628 6590676.052 6917172.060 244.20659 465.28434 203.99260 0.0002954854 101.44438 327.004 0.023291 883.559 275.215 0.00255970542 0.00492593035 0.0000927887 0.0000592873 6995396.844 6562670.372 6884649.585 246.75501 452.28265 202.82179 0.0002960761 105.26530 328.001 0.023362 882.527 275.044 0.00254770308 0.00496955963 0.0000926249 0.0000600262 6966760.031 6535239.611 6852675.317 249.31961 439.21617 201.67071 0.0002966511 108.96218 329.012 0.023434 881.496 274.875 0.00253533141 0.00501344960 0.0000924457 0.0000607724 6938259.242 6508006.727 6820810.882 251.93661 425.90227 200.52359 0.0002972181 112.58456 330.009 0.023505 880.496 274.714 0.00252293783 0.00505637713 0.0000922560 0.0000615051 6910684.302 6481725.330 6789941.607 254.53306 412.71350 199.41230 0.0002977611 116.03196 331.006 0.023576 879.512 274.556 0.00251035559 0.00509895047 0.0000920537 0.0000622343 6883633.786 6456010.342 6759621.147 257.14492 399.46801 198.32076 0.0002982880 119.35571 332.002 0.023647 878.545 274.404 0.00249758835 0.00514116598 0.0000918387 0.0000629600 6857105.809 6430858.945 6729849.471 259.77193 386.16843 197.24898 0.0002987987 122.55598 333.013 0.023719 877.580 274.253 0.00248445609 0.00518360707 0.0000916078 0.0000636919 6830735.876 6405925.977 6700218.766 262.45111 372.62890 196.18228 0.0002992997 125.67541 334.010 0.023790 876.646 274.110 0.00247132725 0.00522509141 0.0000913675 0.0000644095 6805254.544 6381901.195 6671551.870 265.10772 359.22809 195.15027 0.0002997771 128.62756 335.007 0.023861 875.728 273.971 0.00245802427 0.00526620776 0.0000911148 0.0000651229 6780289.973 6358431.587 6643433.053 267.77856 345.78081 194.13799 0.0003002377 131.45683 336.004 0.023932 874.826 273.836 0.00244455069 0.00530695299 0.0000908497 0.0000658318 6755840.228 6335514.398 6615861.899 270.46329 332.28952 193.14543 0.0003006814 134.16347 337.001 0.024003 873.942 273.705 0.00243091002 0.00534732409 0.0000905723 0.0000665359 6731903.363 6313146.892 6588837.913 273.16158 318.75664 192.17257 0.0003011082 136.74772 338.012 0.024075 873.062 273.578 0.00241691016 0.00538787874 0.0000902785 0.0000672449 6708151.132 6291022.924 6561991.505 275.91136 304.99314 191.20610 0.0003015234 139.24365 339.008 0.024146 872.210 273.457 0.00240294347 0.00542748756 0.0000899766 0.0000679389 6685241.350 6269754.335 6536067.760 278.63586 291.38374 190.27284 0.0003019155 141.58222 340.005 0.024217 871.376 273.340 0.00238882008 0.00546671377 0.0000896627 0.0000686275 6662838.586 6249027.352 6510689.261 281.37282 277.73987 189.35921 0.0003022902 143.79924 341.002 0.024288 870.559 273.227 0.00237454337 0.00550555473 0.0000893368 0.0000693106 6640940.905 6228839.360 6485855.246 284.12185 264.06384 188.46519 0.0003026474 145.89502 342.013 0.024360 869.747 273.118 0.00235991243 0.00554454672 0.0000889943 0.0000699974 6619248.625 6208914.810 6461226.662 286.92151 250.16467 187.57856 0.0003029917 147.89682 343.010 0.024431 868.964 273.014 0.00234533705 0.00558260411 0.0000886447 0.0000706686 6598362.368 6189804.587 6437486.764 289.69361 236.43072 186.72392 0.0003033133 149.74939 344.007 0.024502 868.198 272.915 0.00233061836 0.00562026882 0.0000882835 0.0000713337 6577975.404 6171225.682 6414288.757 292.47655 222.67137 185.88880 0.0003036172 151.48171 345.003 0.024573 867.449 272.820 0.00231575962 0.00565753850 0.0000879108 0.0000719923 6558085.836 6153175.630 6391631.696 295.26988 208.88880 185.07314 0.0003039031 153.09414 346.000 0.024644 866.717 272.730 0.00230076407 0.00569441089 0.0000875266 0.0000726444 6538691.786 6135652.004 6369514.606 298.07317 195.08519 184.27693 0.0003041710 154.58705 347.011 0.024716 865.992 272.642 0.00228542087 0.00573139463 0.0000871256 0.0000732987 6519528.706 6118416.724 6347636.409 300.92565 181.06786 183.48931 0.0003044243 155.97930 348.008 0.024787 865.294 272.561 0.00227015945 0.00576746020 0.0000867188 0.0000739369 6501127.043 6101946.182 6326603.790 303.74761 167.22831 182.73214 0.0003046558 157.23261 349.005 0.024858 864.614 272.484 0.00225477078 0.00580312197 0.0000863010 0.0000745680 6483215.353 6085995.024 6306108.044 306.57814 153.37409 181.99429 0.0003048690 158.36757 350.002 0.024929 863.951 272.411 0.00223925798 0.00583837789 0.0000858723 0.0000751917 6465791.841 6070561.005 6286148.104 309.41675 139.50727 181.27573 0.0003050640 159.38456 351.013 0.025001 863.296 272.342 0.00222340311 0.00587371381 0.0000854266 0.0000758164 6448619.653 6055435.468 6266453.115 312.30310 125.43437 180.56671 0.0003052430 160.29583 352.009 0.025072 862.668 272.278 0.00220764968 0.00590814616 0.0000849763 0.0000764247 6432174.035 6041036.392 6247569.061 315.15650 111.54836 179.88689 0.0003054010 161.07651 353.006 0.025143 862.057 272.218 0.00219178136 0.00594216664 0.0000845155 0.0000770251 6416211.352 6027147.983 6229217.551 318.01648 97.65587 179.22623 0.0003055406 161.74050 354.003 0.025214 861.463 272.163 0.00217580117 0.00597577331 0.0000840443 0.0000776173 6400729.924 6013768.193 6211397.497 320.88253 83.75889 178.58471 0.0003056616 162.28824 355.014 0.025286 860.879 272.112 0.00215948475 0.00600942873 0.0000835561 0.0000782094 6385520.230 6000717.319 6193868.080 323.79459 69.66362 177.95365 0.0003057655 162.72545 356.011 0.025357 860.321 272.065 0.00214328831 0.00604219612 0.0000830644 0.0000787848 6371003.129 5988355.919 6177115.140 326.67125 55.76358 177.35055 0.0003058492 163.04042 357.008 0.025428 859.780 272.024 0.00212698896 0.00607454396 0.0000825629 0.0000793515 6356962.427 5976497.274 6160890.415 329.55236 41.86495 176.76646 0.0003059144 163.24053 358.005 0.025499 859.256 271.986 0.00211058961 0.00610647035 0.0000820515 0.0000799095 6343396.586 5965139.541 6145192.853 332.43738 27.96969 176.20134 0.0003059610 163.32622 359.001 0.025570 858.750 271.953 0.00209409316 0.00613797342 0.0000815305 0.0000804584 6330304.107 5954280.934 6130021.421 335.32574 14.07969 175.65517 0.0003059889 163.29799 360.012 0.025642 858.255 271.924 0.00207726817 0.00616948597 0.0000809925 0.0000810057 6317509.140 5943777.325 6115172.564 338.25762 0.00140 175.12061 0.0003059983 163.15351 Engine speed (Hz) = 39.0000000000 Output power (W) = 6362.8767693378 Heat into heater (W) = 13192.0473741626 Heat to regenerator (W) = 0.0547871431 Heat removal from cooler (W) = 6829.7039341517 Approximate Pumping loss (W) = -3872.1142500297 Thermal efficiency (%) = 48.2326707058 The average engine pressure (Pa) = 8469319.8458303921 The exp space work per cycle (J) = 338.2195507067 The comp space work per cycle (J) = -175.0688643134 The net work per cycle (J) = 163.1506863933 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -946.1833163175 The expansion work for Vmin-to-Vmax (J) = 1109.3340027107 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 859.138 271.979 0.00207971981 0.00616299347 0.0000809991 0.0000809992 6330960.244 5939197.025 6119257.799 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.008 0.000070 858.665 271.956 0.00206285168 0.00619404476 0.0000804532 0.0000815355 6318735.488 5929355.168 6104918.887 2.91290 -14.03690 -0.51620 0.0003059888 -0.26805 2.002 0.000139 858.216 271.937 0.00204613478 0.00622422455 0.0000799060 0.0000820547 6307152.154 5920147.579 6091308.146 5.78585 -27.86315 -1.00619 0.0003059607 -0.64485 3.010 0.000209 857.778 271.923 0.00202908747 0.00625440563 0.0000793417 0.0000825717 6295873.120 5911305.758 6078030.143 8.70155 -41.87759 -1.48420 0.0003059134 -1.14080 4.003 0.000278 857.364 271.914 0.00201219963 0.00628372371 0.0000787767 0.0000830715 6285219.340 5903080.799 6065463.386 11.57608 -55.67791 -1.93660 0.0003058482 -1.74123 5.011 0.000348 856.962 271.909 0.00199498463 0.00631302658 0.0000781947 0.0000835684 6274880.733 5895232.794 6053242.771 14.49215 -69.66221 -2.37654 0.0003057631 -2.46301 6.005 0.000417 856.583 271.908 0.00197793711 0.00634147499 0.0000776126 0.0000840482 6265151.482 5887984.547 6041716.667 17.36584 -83.42906 -2.79148 0.0003056607 -3.28500 7.013 0.000487 856.216 271.912 0.00196056578 0.00636989148 0.0000770136 0.0000845245 6255748.406 5881124.567 6030550.216 20.27982 -97.37560 -3.19347 0.0003055381 -4.23049 8.006 0.000556 855.872 271.921 0.00194336972 0.00639746207 0.0000764150 0.0000849836 6246939.064 5874847.532 6020061.749 23.15019 -111.10147 -3.57106 0.0003053986 -5.27193 9.000 0.000625 855.545 271.933 0.00192610403 0.00642459381 0.0000758086 0.0000854323 6238584.783 5869050.695 6010087.358 26.01798 -124.80423 -3.93014 0.0003052409 -6.42150 10.008 0.000695 855.232 271.950 0.00190851974 0.00645166814 0.0000751856 0.0000858766 6230573.423 5863659.298 6000493.091 28.92405 -138.68005 -4.27553 0.0003050622 -7.69768 11.002 0.000764 854.941 271.972 0.00189112200 0.00647790935 0.0000745639 0.0000863038 6223132.946 5858826.210 5991552.505 31.78472 -152.33063 -4.59739 0.0003048677 -9.06345 12.010 0.000834 854.663 271.998 0.00187340930 0.00650407579 0.0000739257 0.0000867262 6216046.794 5854410.200 5983005.930 34.68224 -166.14973 -4.90507 0.0003046518 -10.55784 13.003 0.000903 854.407 272.028 0.00185589043 0.00652941757 0.0000732894 0.0000871314 6209516.615 5850536.368 5975097.100 37.53318 -179.74065 -5.18979 0.0003044208 -12.13758 14.011 0.000973 854.165 272.063 0.00183806036 0.00655466690 0.0000726368 0.0000875312 6203352.360 5847091.383 5967596.367 40.41948 -193.49541 -5.45981 0.0003041680 -13.84790 15.005 0.001042 853.944 272.102 0.00182043122 0.00657909998 0.0000719868 0.0000879139 6197729.462 5844172.693 5960717.699 43.25801 -207.01916 -5.70744 0.0003039008 -15.63935 16.013 0.001112 853.738 272.146 0.00180249478 0.00660342256 0.0000713207 0.0000882907 6192484.299 5841694.745 5954261.434 46.13037 -220.70197 -5.93987 0.0003036114 -17.56328 17.006 0.001181 853.552 272.194 0.00178476619 0.00662693721 0.0000706577 0.0000886505 6187766.175 5839727.444 5948411.826 48.95378 -234.15100 -6.15046 0.0003033082 -19.56413 18.000 0.001250 853.384 272.247 0.00176699224 0.00664999219 0.0000699886 0.0000889988 6183496.419 5838231.127 5943072.800 51.76867 -247.56013 -6.34266 0.0003029874 -21.66806 19.008 0.001320 853.232 272.304 0.00174891707 0.00667290894 0.0000693037 0.0000893402 6179622.517 5837193.575 5938178.054 54.61494 -261.12089 -6.51887 0.0003026439 -23.90721 20.002 0.001389 853.099 272.365 0.00173105980 0.00669503000 0.0000686228 0.0000896649 6176254.802 5836643.658 5933867.435 57.41055 -274.44391 -6.67405 0.0003022877 -26.21701 21.010 0.001459 852.982 272.431 0.00171290557 0.00671699376 0.0000679264 0.0000899822 6173295.377 5836564.686 5930016.067 60.23582 -287.91341 -6.81270 0.0003019086 -28.66380 22.003 0.001528 852.885 272.501 0.00169497575 0.00673816986 0.0000672345 0.0000902829 6170828.594 5836958.214 5926734.133 63.00931 -301.14262 -6.93085 0.0003015175 -31.17707 23.011 0.001598 852.804 272.576 0.00167675338 0.00675916914 0.0000665275 0.0000905757 6168782.826 5837834.967 5923926.731 65.81068 -314.51301 -7.03192 0.0003011032 -33.82903 24.005 0.001667 852.743 272.655 0.00165876179 0.00677938862 0.0000658256 0.0000908521 6167216.477 5839169.255 5921674.374 68.55917 -327.64061 -7.11300 0.0003006776 -36.54331 25.013 0.001737 852.698 272.739 0.00164048223 0.00679941124 0.0000651087 0.0000911200 6166084.181 5840999.131 5919912.166 71.33369 -340.90391 -7.17644 0.0003002287 -39.39794 26.006 0.001806 852.671 272.826 0.00162243968 0.00681866177 0.0000643976 0.0000913716 6165418.407 5843271.727 5918690.923 74.05423 -353.92198 -7.22041 0.0002997692 -42.31073 27.000 0.001875 852.663 272.918 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0.00275367896 0.00397896540 0.0000933175 0.0000441920 7691110.704 7225831.846 7645910.397 197.65829 695.70608 232.13998 0.0002815095 1.37481 308.002 0.021389 906.824 279.360 0.00274651028 0.00402820153 0.0000934159 0.0000449399 7651831.630 7186624.598 7603380.958 199.85716 684.58832 230.60892 0.0002823558 7.52122 309.010 0.021459 905.495 279.094 0.00273895716 0.00407792498 0.0000935025 0.0000457003 7612546.384 7147481.135 7560747.517 202.10569 673.18216 229.07411 0.0002832028 13.63347 310.003 0.021528 904.198 278.838 0.00273123952 0.00412670666 0.0000935747 0.0000464512 7574376.695 7109518.158 7519232.503 204.33969 661.81703 227.57957 0.0002840259 19.53651 311.011 0.021598 902.897 278.583 0.00272313790 0.00417595225 0.0000936346 0.0000472141 7536215.380 7071633.426 7477636.696 206.62400 650.16708 226.08212 0.0002848487 25.40105 312.005 0.021667 901.629 278.337 0.00271488786 0.00422424690 0.0000936806 0.0000479671 7499151.865 7034907.393 7437152.301 208.89337 638.56864 224.62468 0.0002856476 31.05919 313.013 0.021737 900.357 278.092 0.00270625448 0.00427298277 0.0000937138 0.0000487316 7462110.845 6998273.403 7396609.406 211.21362 626.68901 223.16514 0.0002864455 36.67462 314.006 0.021806 899.118 277.856 0.00269748850 0.00432076013 0.0000937335 0.0000494857 7426149.565 6962775.939 7357169.597 213.51846 614.87096 221.74531 0.0002872192 42.08662 315.000 0.021875 897.894 277.625 0.00268847249 0.00436827013 0.0000937400 0.0000502400 7390733.764 6927884.957 7318252.868 215.84090 602.94887 220.34430 0.0002879800 47.37605 316.008 0.021945 896.667 277.396 0.00267907444 0.00441618862 0.0000937333 0.0000510053 7355360.839 6893105.608 7279309.401 218.21494 590.75099 218.94234 0.0002887386 52.61668 317.002 0.022014 895.472 277.175 0.00266956689 0.00446314000 0.0000937135 0.0000517594 7321040.144 6859429.107 7241454.361 220.57272 578.62908 217.57956 0.0002894728 57.65860 318.010 0.022084 894.275 276.956 0.00265967836 0.00451047879 0.0000936800 0.0000525239 7286775.477 6825876.720 7203592.815 222.98251 566.23501 216.21654 0.0002902039 62.64778 319.003 0.022153 893.111 276.745 0.00264969538 0.00455684642 0.0000936339 0.0000532769 7253544.391 6793404.469 7166808.581 225.37538 553.92604 214.89231 0.0002909107 67.44154 320.011 0.022223 891.945 276.536 0.00263933265 0.00460358096 0.0000935737 0.0000540398 7220382.139 6761068.400 7130037.339 227.82059 541.34854 213.56855 0.0002916135 72.17875 321.005 0.022292 890.811 276.334 0.00262889019 0.00464934154 0.0000935013 0.0000547906 7188234.657 6729789.677 7094331.351 230.24818 528.86492 212.28313 0.0002922920 76.72398 322.013 0.022362 889.676 276.135 0.00261806932 0.00469544908 0.0000934146 0.0000555510 7156168.492 6698658.847 7058657.161 232.72837 516.11638 210.99886 0.0002929656 81.20892 323.006 0.022431 888.574 275.942 0.00260718312 0.00474058104 0.0000933160 0.0000562989 7125098.160 6668562.560 7024035.321 235.19015 503.47013 209.75247 0.0002936149 85.50541 324.000 0.022500 887.486 275.755 0.00259608242 0.00478539342 0.0000932044 0.0000570449 7094560.012 6639049.034 6989953.408 237.66870 490.74753 208.52552 0.0002942494 89.67841 325.008 0.022570 886.399 275.570 0.00258460556 0.00483052385 0.0000930781 0.0000577997 7064121.317 6609700.367 6955930.246 240.20010 477.76544 207.30069 0.0002948778 93.78574 326.002 0.022639 885.343 275.391 0.00257308429 0.00487467827 0.0000929405 0.0000585414 7034649.966 6581352.220 6922938.729 242.71185 464.89760 206.11300 0.0002954820 97.71009 327.010 0.022709 884.289 275.215 0.00256118850 0.00491913198 0.0000927879 0.0000592913 7005289.861 6553179.965 6890023.246 245.27655 451.77388 204.92804 0.0002960792 101.56527 328.003 0.022778 883.265 275.047 0.00254926185 0.00496261062 0.0000926245 0.0000600278 6976878.011 6525985.629 6858124.755 247.82070 438.77200 203.77969 0.0002966523 105.24123 329.011 0.022848 882.242 274.880 0.00253696244 0.00500637023 0.0000924458 0.0000607719 6948588.967 6498978.017 6826319.050 250.41780 425.51785 202.63469 0.0002972177 108.84463 330.005 0.022917 881.251 274.720 0.00252464539 0.00504915660 0.0000922568 0.0000615022 6921229.083 6472925.880 6795515.121 252.99342 412.39280 201.52575 0.0002977590 112.27265 331.013 0.022987 880.261 274.563 0.00251195743 0.00509220602 0.0000920522 0.0000622396 6894003.356 6447071.138 6764820.238 255.62193 399.01910 200.42073 0.0002982918 115.62480 332.006 0.023056 879.302 274.412 0.00249926471 0.00513428483 0.0000918378 0.0000629628 6867687.721 6422149.618 6735111.421 258.22798 385.78146 199.35121 0.0002988007 118.80547 333.000 0.023125 878.359 274.266 0.00248639090 0.00517600709 0.0000916109 0.0000636823 6841887.545 6397785.063 6705946.152 260.84870 372.49175 198.30126 0.0002992932 121.86361 334.008 0.023195 877.419 274.122 0.00247314912 0.00521796621 0.0000913681 0.0000644080 6816238.174 6373633.640 6676913.434 263.52211 358.95881 197.25609 0.0002997761 124.84109 335.002 0.023264 876.509 273.985 0.00245992125 0.00525896009 0.0000911162 0.0000651191 6791470.466 6350382.558 6648842.499 266.17151 345.57177 196.24553 0.0003002352 127.65305 336.010 0.023334 875.602 273.850 0.00244632746 0.00530017373 0.0000908481 0.0000658358 6766864.494 6327355.011 6620919.327 268.87335 331.94511 195.24030 0.0003006840 130.38123 337.003 0.023403 874.725 273.722 0.00243275965 0.00534042653 0.0000905716 0.0000665377 6743121.296 6305206.149 6593941.281 271.55012 318.47060 194.26909 0.0003011092 132.94793 338.011 0.023473 873.853 273.596 0.00241882807 0.00538088224 0.0000902786 0.0000672447 6719550.635 6283291.167 6567125.859 274.27903 304.76010 193.30373 0.0003015233 135.42782 339.005 0.023542 873.009 273.477 0.00240493421 0.00542038213 0.0000899777 0.0000679364 6696823.969 6262233.487 6541238.629 276.98176 291.20770 192.37179 0.0003019141 137.75032 340.013 0.023612 872.170 273.360 0.00239067880 0.00546006831 0.0000896603 0.0000686327 6674280.532 6241420.000 6515528.570 279.73626 277.42296 191.44623 0.0003022930 139.98306 341.006 0.023681 871.360 273.249 0.00237647253 0.00549880423 0.0000893354 0.0000693135 6652562.443 6221442.723 6490729.544 282.46346 263.80203 190.55347 0.0003026489 142.06254 342.000 0.023750 870.567 273.143 0.00236211617 0.00553715701 0.0000889988 0.0000699886 6631342.079 6201997.846 6466469.592 285.20222 250.15047 189.68011 0.0003029874 144.02184 343.008 0.023820 869.780 273.040 0.00234740174 0.00557567158 0.0000886453 0.0000706674 6610320.783 6182812.573 6442408.073 287.99208 236.27205 188.81389 0.0003033128 145.88708 344.002 0.023889 869.020 272.943 0.00233275295 0.00561324508 0.0000882853 0.0000713303 6590097.219 6164432.520 6419231.599 290.75291 222.56551 187.97954 0.0003036157 147.60531 345.010 0.023959 868.267 272.848 0.00231774850 0.00565096420 0.0000879084 0.0000719963 6570083.230 6146322.388 6396267.476 293.56430 208.63579 187.15283 0.0003039048 149.22668 346.003 0.024028 867.541 272.760 0.00230282034 0.00568774892 0.0000875255 0.0000726463 6550848.731 6128997.159 6374170.892 296.34548 194.88305 186.35735 0.0003041718 150.70524 347.011 0.024098 866.823 272.675 0.00228753901 0.00572466317 0.0000871256 0.0000732987 6531834.272 6111952.200 6352300.387 299.17661 180.91085 185.57002 0.0003044243 152.08423 348.005 0.024167 866.132 272.595 0.00227234431 0.00576065008 0.0000867202 0.0000739349 6513581.252 6095672.152 6331279.849 301.97634 167.12052 184.81328 0.0003046550 153.32463 349.013 0.024237 865.448 272.518 0.00225679901 0.00579675053 0.0000862977 0.0000745730 6495558.713 6079682.774 6310498.960 304.82535 153.11446 184.06516 0.0003048707 154.46281 350.006 0.024306 864.791 272.448 0.00224135038 0.00583193098 0.0000858703 0.0000751946 6478279.763 6064438.642 6290550.439 307.64176 139.29494 183.34702 0.0003050649 155.46664 351.000 0.024375 864.151 272.381 0.00222578033 0.00586670800 0.0000854322 0.0000758087 6461481.655 6049705.421 6271132.536 310.46573 125.46401 182.64797 0.0003052409 156.35364 352.008 0.024445 863.519 272.318 0.00220986367 0.00590157472 0.0000849770 0.0000764238 6444929.649 6035278.552 6251974.365 313.33784 111.42303 181.95828 0.0003054008 157.13456 353.002 0.024514 862.914 272.260 0.00219405820 0.00593553295 0.0000845177 0.0000770223 6429094.921 6021568.118 6233622.256 316.17554 97.57519 181.29760 0.0003055400 157.78751 354.010 0.024584 862.317 272.206 0.00217790886 0.00596956495 0.0000840412 0.0000776211 6413516.756 6008174.617 6215543.195 319.06054 83.52116 180.64676 0.0003056624 158.33186 355.003 0.024653 861.746 272.157 0.00216188008 0.00600269643 0.0000835613 0.0000782031 6398638.571 5995478.711 6198252.681 321.90991 69.66446 180.02430 0.0003057645 158.75251 356.011 0.024723 861.185 272.112 0.00214551028 0.00603588572 0.0000830643 0.0000787850 6384027.446 5983110.409 6181248.483 324.80567 55.60546 179.41215 0.0003058493 159.06212 357.005 0.024792 860.649 272.072 0.00212927011 0.00606818262 0.0000825643 0.0000793499 6370099.241 5971421.188 6165015.405 327.66457 41.74780 178.82776 0.0003059142 159.25230 358.013 0.024862 860.123 272.036 0.00211269185 0.00610052131 0.0000820472 0.0000799141 6356448.648 5960070.345 6149081.890 330.56891 27.69179 178.25415 0.0003059613 159.32906 359.006 0.024931 859.621 272.004 0.00209625207 0.00613197591 0.0000815279 0.0000804612 6343464.161 5949380.393 6133902.184 333.43514 13.84096 177.70768 0.0003059890 159.29066 360.000 0.025000 859.137 271.977 0.00207971751 0.00616300951 0.0000809991 0.0000809992 6330945.911 5939183.860 6119243.909 336.30419 -0.00360 177.17998 0.0003059983 159.13951 Engine speed (Hz) = 40.0000000000 Output power (W) = 6365.4599202269 Heat into heater (W) = 13452.1674243912 Heat to regenerator (W) = -0.1441301288 Heat removal from cooler (W) = 7087.1992922451 Approximate Pumping loss (W) = -4154.7037777941 Thermal efficiency (%) = 47.3192142159 The average engine pressure (Pa) = 8470918.3847916797 The exp space work per cycle (J) = 336.2625713083 The comp space work per cycle (J) = -177.1260733026 The net work per cycle (J) = 159.1364980057 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -948.2118740235 The expansion work for Vmin-to-Vmax (J) = 1107.3483720291 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 860.031 272.031 0.00208200047 0.00615677573 0.0000809989 0.0000809994 6344502.358 5934344.290 6123238.115 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.004 0.000068 859.563 272.010 0.00206520675 0.00618775531 0.0000804554 0.0000815334 6332390.667 5924675.313 6108896.468 2.88728 -13.98430 -0.51630 0.0003059888 -0.27659 2.008 0.000136 859.112 271.993 0.00204832091 0.00621830284 0.0000799026 0.0000820579 6320749.124 5915505.728 6095084.747 5.77632 -27.95925 -1.01352 0.0003059605 -0.66727 3.011 0.000204 858.679 271.981 0.00203134583 0.00624841630 0.0000793407 0.0000825726 6309576.330 5906833.920 6081802.073 8.66650 -41.92292 -1.49170 0.0003059133 -1.17153 4.000 0.000271 858.269 271.973 0.00201453593 0.00627766039 0.0000787784 0.0000830700 6299024.988 5898774.975 6069231.345 11.51472 -55.66833 -1.94424 0.0003058484 -1.77894 5.004 0.000339 857.871 271.970 0.00199739223 0.00630690601 0.0000781989 0.0000835649 6288778.850 5891086.841 6056996.515 14.40539 -69.60387 -2.38470 0.0003057638 -2.50714 6.008 0.000407 857.490 271.971 0.00198016787 0.00633571139 0.0000776109 0.0000840495 6278997.582 5883891.995 6045288.315 17.29539 -83.52238 -2.80619 0.0003056604 -3.34734 7.011 0.000475 857.127 271.977 0.00196286567 0.00636407441 0.0000770145 0.0000845238 6269679.989 5877189.040 6034106.015 20.18410 -97.42193 -3.20876 0.0003055382 -4.29900 8.000 0.000542 856.786 271.986 0.00194574456 0.00639158559 0.0000764188 0.0000849808 6260951.804 5871064.444 6023601.846 23.02843 -111.09667 -3.58691 0.0003053995 -5.34517 9.004 0.000610 856.459 272.001 0.00192829622 0.00641906400 0.0000758062 0.0000854340 6252551.410 5865334.106 6013461.616 25.91268 -124.95291 -3.95195 0.0003052402 -6.51651 10.008 0.000678 856.148 272.019 0.00191077847 0.00644609354 0.0000751858 0.0000858765 6244611.447 5860091.800 6003845.371 28.79371 -138.78447 -4.29814 0.0003050623 -7.79768 11.011 0.000746 855.856 272.043 0.00189319411 0.00647267194 0.0000745577 0.0000863080 6237130.942 5855336.334 5994752.569 31.67088 -152.58944 -4.62548 0.0003048657 -9.18811 12.000 0.000813 855.585 272.070 0.00187580589 0.00649841599 0.0000739316 0.0000867223 6230208.930 5851125.844 5986304.964 34.50132 -166.16353 -4.92959 0.0003046539 -10.66441 13.004 0.000881 855.327 272.102 0.00185809752 0.00652409186 0.0000732889 0.0000871317 6223637.944 5847333.561 5978249.962 37.36884 -179.91003 -5.21957 0.0003044206 -12.27009 14.008 0.000949 855.088 272.139 0.00184033085 0.00654930956 0.0000726392 0.0000875298 6217523.878 5844024.852 5970717.119 40.23051 -193.62420 -5.49076 0.0003041689 -13.98332 15.011 0.001017 854.866 272.180 0.00182250863 0.00657406661 0.0000719826 0.0000879164 6211866.011 5841198.715 5963706.122 43.08564 -207.30413 -5.74315 0.0003038990 -15.80352 16.000 0.001084 854.664 272.225 0.00180489687 0.00659800661 0.0000713291 0.0000882860 6206736.894 5838885.185 5957308.380 45.89171 -220.74749 -5.97347 0.0003036151 -17.70102 17.004 0.001152 854.477 272.274 0.00178697259 0.00662184163 0.0000706594 0.0000886496 6201982.837 5837014.300 5951332.734 48.73179 -234.35368 -6.18859 0.0003033090 -19.73185 18.008 0.001220 854.308 272.329 0.00176900101 0.00664520830 0.0000699834 0.0000890014 6197683.224 5835623.256 5945878.395 51.56326 -247.91981 -6.38495 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-63.27461 299.008 0.020258 919.895 281.954 0.00280122670 0.00356978979 0.0000920567 0.0000382560 8033652.629 7550993.192 8011509.688 179.30045 779.06991 247.25531 0.0002743126 -55.99616 300.012 0.020326 918.455 281.638 0.00279640921 0.00362089763 0.0000922602 0.0000389903 7989619.060 7506421.670 7964710.975 181.37729 769.02237 245.57055 0.0002752505 -48.83521 301.001 0.020393 917.048 281.333 0.00279135646 0.00367111375 0.0000924481 0.0000397172 7946787.011 7463133.243 7919051.616 183.43951 758.96845 243.92682 0.0002761653 -41.89527 302.005 0.020461 915.634 281.029 0.00278592167 0.00372192598 0.0000926259 0.0000404582 7903877.782 7419835.471 7873175.842 185.54887 748.61193 242.27529 0.0002770841 -34.96991 303.008 0.020529 914.233 280.731 0.00278018206 0.00377257282 0.0000927908 0.0000412021 7861534.608 7377178.671 7827775.428 187.67494 738.10563 240.64087 0.0002779929 -28.16429 304.012 0.020597 912.845 280.439 0.00277414178 0.00382304374 0.0000929425 0.0000419488 7819757.182 7335162.107 7782856.860 189.81789 727.45339 239.02381 0.0002788914 -21.47906 305.001 0.020664 911.492 280.157 0.00276790027 0.00387259045 0.0000930793 0.0000426871 7779147.074 7294388.681 7739076.080 191.94601 716.81878 237.44770 0.0002797664 -15.01051 306.005 0.020732 910.131 279.877 0.00276127533 0.00392268223 0.0000932050 0.0000434386 7738491.553 7253640.116 7695131.883 194.12298 705.88808 235.86571 0.0002806436 -8.56611 307.008 0.020800 908.784 279.602 0.00275436209 0.00397256869 0.0000933175 0.0000441923 7698400.307 7213528.299 7651686.725 196.31730 694.82270 234.30168 0.0002815098 -2.24384 308.012 0.020868 907.452 279.333 0.00274716472 0.00402224065 0.0000934169 0.0000449478 7658872.650 7174051.676 7608745.679 198.52908 683.62631 232.75580 0.0002823647 3.95581 309.001 0.020935 906.153 279.074 0.00273979934 0.00407096372 0.0000935018 0.0000456938 7620476.740 7135775.163 7566933.793 200.72552 672.46998 231.25057 0.0002831956 9.94392 310.005 0.021003 904.848 278.816 0.00273205019 0.00412018389 0.0000935748 0.0000464523 7582065.567 7097554.319 7525007.341 202.97225 661.02423 229.74122 0.0002840270 15.89882 311.008 0.021071 903.558 278.563 0.00272402930 0.00416916402 0.0000936345 0.0000472119 7544215.376 7059963.064 7483598.283 205.23669 649.45817 228.25050 0.0002848464 21.72983 312.012 0.021139 902.283 278.315 0.00271574080 0.00421789616 0.0000936809 0.0000479725 7506925.115 7022999.240 7442710.480 207.51889 637.77531 226.77854 0.0002856534 27.43661 313.001 0.021206 901.041 278.077 0.00270731648 0.00426566165 0.0000937135 0.0000487226 7470729.774 6987190.444 7402937.272 209.78492 626.15335 225.34670 0.0002864361 32.93767 314.005 0.021274 899.794 277.840 0.00269850892 0.00431387900 0.0000937334 0.0000494843 7434547.691 6951465.401 7363094.680 212.10242 614.24874 223.91237 0.0002872178 38.39692 315.008 0.021342 898.563 277.608 0.00268944603 0.00436182627 0.0000937400 0.0000502463 7398921.907 6916360.677 7323783.268 214.43772 602.23746 222.49716 0.0002879863 43.73110 316.012 0.021410 897.347 277.381 0.00268013189 0.00440949659 0.0000937332 0.0000510083 7363851.053 6881873.700 7285005.858 216.79077 590.12281 221.10117 0.0002887415 48.93999 317.001 0.021477 896.164 277.162 0.00267071294 0.00445618856 0.0000937135 0.0000517588 7329837.296 6848495.492 7247323.503 219.12655 578.08840 219.74460 0.0002894723 53.94955 318.005 0.021545 894.977 276.945 0.00266091201 0.00450328967 0.0000936802 0.0000525201 7295863.813 6815227.001 7209613.689 221.51472 565.77815 218.38705 0.0002902003 58.90918 319.008 0.021613 893.807 276.733 0.00265087190 0.00455009478 0.0000936336 0.0000532807 7262440.773 6782568.146 7172444.936 223.92049 553.37413 217.04898 0.0002909143 63.74304 320.012 0.021681 892.652 276.526 0.00264059661 0.00459659796 0.0000935737 0.0000540403 7229566.551 6750516.092 7135819.182 226.34374 540.87946 215.73045 0.0002916140 68.45103 321.001 0.021748 891.529 276.327 0.00263024629 0.00464211643 0.0000935016 0.0000547877 7197710.909 6719526.070 7100264.815 228.74837 528.48287 214.45049 0.0002922893 72.96661 322.005 0.021816 890.404 276.130 0.00261951587 0.00468800353 0.0000934153 0.0000555448 7165921.226 6688670.123 7064722.041 231.20602 515.81731 213.17095 0.0002929601 77.42452 323.008 0.021884 889.296 275.937 0.00260856207 0.00473357233 0.0000933158 0.0000563002 7134675.203 6658412.273 7029726.899 233.68079 503.07016 211.91113 0.0002936160 81.75642 324.012 0.021952 888.203 275.749 0.00259738880 0.00477881773 0.0000932030 0.0000570538 7103971.019 6628749.544 6995280.586 236.17254 490.24436 210.67106 0.0002942569 85.96230 325.001 0.022019 887.142 275.569 0.00258616897 0.00482307669 0.0000930790 0.0000577943 7074246.506 6600102.176 6961878.617 238.64407 477.53309 209.46859 0.0002948734 89.98311 326.004 0.022087 886.081 275.390 0.00257457145 0.00486766573 0.0000929401 0.0000585436 7044612.495 6571612.051 6928524.781 241.16898 464.55974 208.26785 0.0002954837 93.93891 327.008 0.022155 885.036 275.216 0.00256276596 0.00491191729 0.0000927881 0.0000592903 7015514.675 6543708.073 6895722.381 243.71030 451.51630 207.08696 0.0002960784 97.76883 328.012 0.022223 884.008 275.047 0.00255075630 0.00495582702 0.0000926231 0.0000600342 6986951.093 6516387.220 6863471.998 246.26782 438.40555 205.92595 0.0002966572 101.47297 329.001 0.022290 883.010 274.885 0.00253872721 0.00499875258 0.0000924477 0.0000607642 6959328.148 6490035.533 6832236.215 248.80334 425.42445 204.80146 0.0002972119 104.99971 330.004 0.022358 882.013 274.725 0.00252632333 0.00504197133 0.0000922569 0.0000615019 6931819.298 6463863.415 6801082.934 251.39231 412.18818 203.67994 0.0002977588 108.45448 331.008 0.022426 881.033 274.570 0.00251372643 0.00508483614 0.0000920532 0.0000622362 6904838.715 6438265.431 6770482.618 253.99675 398.89269 202.57833 0.0002982894 111.78384 332.012 0.022494 880.070 274.419 0.00250094020 0.00512734324 0.0000918366 0.0000629668 6878384.362 6413238.587 6740435.348 256.61638 385.54061 201.49663 0.0002988034 114.98798 333.001 0.022561 879.137 274.275 0.00248816038 0.00516887186 0.0000916108 0.0000636828 6852831.731 6389135.496 6711370.827 259.21206 372.33206 200.45031 0.0002992936 118.02270 334.004 0.022629 878.206 274.134 0.00247500906 0.00521065821 0.0000913690 0.0000644054 6827416.021 6365233.744 6682421.332 261.86099 358.87529 199.40813 0.0002997744 120.97879 335.008 0.022697 877.292 273.996 0.00246167922 0.00525207641 0.0000911145 0.0000651237 6802520.401 6341894.319 6654024.502 264.52421 345.36957 198.38584 0.0003002382 123.81027 336.012 0.022765 876.394 273.864 0.00244817442 0.00529312322 0.0000908475 0.0000658374 6778142.800 6319114.317 6626180.024 267.20141 331.81740 197.38344 0.0003006849 126.51735 337.001 0.022832 875.527 273.738 0.00243470055 0.00533320009 0.0000905723 0.0000665359 6754628.326 6297213.661 6599284.867 269.85257 318.42149 196.41521 0.0003011082 129.06323 338.004 0.022900 874.663 273.614 0.00242085885 0.00537350036 0.0000902807 0.0000672399 6731273.009 6275535.790 6572535.721 272.55648 304.78435 195.45224 0.0003015205 131.52414 339.008 0.022968 873.815 273.495 0.00240685266 0.00541342017 0.0000899767 0.0000679387 6708429.533 6254408.858 6546337.519 275.27333 291.10801 194.50911 0.0003019154 133.86147 340.012 0.023036 872.985 273.381 0.00239268542 0.00545295667 0.0000896606 0.0000686320 6686095.838 6233830.092 6520689.651 278.00272 277.39484 193.58579 0.0003022926 136.07551 341.001 0.023103 872.183 273.272 0.00237857234 0.00549153418 0.0000893373 0.0000693096 6664587.172 6214087.427 6495956.558 280.70387 263.84957 192.69539 0.0003026469 138.13671 342.004 0.023171 871.387 273.166 0.00236409547 0.00553030163 0.0000889973 0.0000699915 6643259.467 6194588.869 6471399.220 283.45702 250.07016 191.81133 0.0003029888 140.10692 343.008 0.023239 870.607 273.065 0.00234946766 0.00556867780 0.0000886453 0.0000706674 6622435.447 6175630.436 6447390.051 286.22154 236.26081 190.94700 0.0003033128 141.95480 344.012 0.023307 869.845 272.969 0.00233469224 0.00560666017 0.0000882816 0.0000713370 6602113.098 6157209.523 6423928.230 288.99700 222.42377 190.10237 0.0003036186 143.68070 345.001 0.023374 869.110 272.878 0.00231999297 0.00564369645 0.0000879119 0.0000719904 6582578.319 6139582.730 6401345.929 291.74192 208.76531 189.28941 0.0003039023 145.26228 346.004 0.023442 868.382 272.790 0.00230493428 0.00568088982 0.0000875251 0.0000726470 6563246.028 6122221.401 6378968.164 294.53782 194.87988 188.48381 0.0003041721 146.74709 347.008 0.023510 867.671 272.707 0.00228973776 0.00571768226 0.0000871269 0.0000732966 6544409.499 6105390.080 6357135.071 297.34334 180.97336 187.69782 0.0003044235 148.11104 348.012 0.023578 866.977 272.628 0.00227440664 0.00575407149 0.0000867173 0.0000739392 6526066.797 6089086.350 6335845.697 300.15802 167.04788 186.93140 0.0003046566 149.35450 349.001 0.023645 866.310 272.554 0.00225917244 0.00578952906 0.0000863029 0.0000745653 6508474.965 6073536.084 6315400.234 302.93982 153.31075 186.19537 0.0003048681 150.46223 350.004 0.023713 865.650 272.484 0.00224358354 0.00582511123 0.0000858712 0.0000751932 6491107.013 6058272.805 6295187.389 305.77128 139.35398 185.46770 0.0003050645 151.46771 351.008 0.023781 865.008 272.419 0.00222786950 0.00586028367 0.0000854287 0.0000758136 6474227.260 6043530.199 6275515.299 308.61047 125.38459 184.75951 0.0003052422 152.35394 352.012 0.023849 864.383 272.358 0.00221203345 0.00589504425 0.0000849753 0.0000764260 6457833.879 6029306.050 6256382.947 311.45689 111.40465 184.07074 0.0003054013 153.12134 353.001 0.023916 863.784 272.302 0.00219631395 0.00592888879 0.0000845182 0.0000770216 6442155.523 6015796.056 6238058.849 314.26801 97.62199 183.41108 0.0003055398 153.76168 354.004 0.023984 863.193 272.250 0.00218024482 0.00596282555 0.0000840438 0.0000776179 6426722.441 6002594.851 6219995.006 317.12724 83.62720 182.76078 0.0003056618 154.29450 355.008 0.024052 862.620 272.202 0.00216406284 0.00599634429 0.0000835591 0.0000782059 6411770.468 5989905.817 6202467.849 319.99214 69.62797 182.12980 0.0003057649 154.70984 356.012 0.024120 862.065 272.158 0.00214777105 0.00602944299 0.0000830641 0.0000787852 6397297.912 5977726.956 6185476.364 322.86218 55.62631 181.51811 0.0003058493 155.00817 357.000 0.024187 861.535 272.120 0.00213161437 0.00606164216 0.0000825665 0.0000793475 6383505.469 5966224.280 6169257.687 325.69450 41.83012 180.93423 0.0003059140 155.18811 358.004 0.024255 861.014 272.086 0.00211511347 0.00609390100 0.0000820517 0.0000799093 6369979.830 5955052.559 6153326.699 328.57311 27.82955 180.36072 0.0003059610 155.25552 359.008 0.024323 860.510 272.055 0.00209851168 0.00612573379 0.0000815271 0.0000804619 6356928.785 5944385.377 6137928.423 331.45519 13.83247 179.80638 0.0003059891 155.20735 360.012 0.024391 860.025 272.030 0.00208181195 0.00615713855 0.0000809929 0.0000810054 6344350.803 5934220.954 6123061.901 334.34018 -0.15913 179.27119 0.0003059983 155.04408 Engine speed (Hz) = 41.0000000000 Output power (W) = 6356.6738144020 Heat into heater (W) = 13707.9475692046 Heat to regenerator (W) = -6.5245022475 Heat removal from cooler (W) = 7350.1186476661 Approximate Pumping loss (W) = -4450.1401518637 Thermal efficiency (%) = 46.3721777626 The average engine pressure (Pa) = 8472731.0272753034 The exp space work per cycle (J) = 334.2271854606 The comp space work per cycle (J) = -179.1863607191 The net work per cycle (J) = 155.0408247415 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -950.2901585754 The expansion work for Vmin-to-Vmax (J) = 1105.3309833169 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 860.934 272.084 0.00208410581 0.00615082960 0.0000809918 0.0000810065 6358145.178 5929234.343 6127121.093 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.012 0.000067 860.471 272.065 0.00206741011 0.00618168748 0.0000804513 0.0000815374 6346173.000 5919758.481 6112803.381 2.85736 -13.91113 -0.51544 0.0003059887 -0.28623 2.010 0.000133 860.026 272.050 0.00205062213 0.00621211973 0.0000799016 0.0000820588 6334662.846 5910775.601 6099009.266 5.71648 -27.81392 -1.01203 0.0003059605 -0.68529 3.007 0.000199 859.598 272.039 0.00203374471 0.00624212433 0.0000793430 0.0000825706 6323613.317 5902284.116 6085737.920 8.57680 -41.70646 -1.48979 0.0003059136 -1.19667 4.005 0.000265 859.187 272.033 0.00201678070 0.00627169922 0.0000787755 0.0000830726 6313023.059 5894282.496 6072988.551 11.43771 -55.58684 -1.94877 0.0003058480 -1.81987 5.003 0.000331 858.794 272.031 0.00199973291 0.00630084233 0.0000781993 0.0000835646 6302890.768 5886769.262 6060760.396 14.29863 -69.45316 -2.38899 0.0003057639 -2.55435 6.001 0.000397 858.418 272.034 0.00198260418 0.00632955155 0.0000776147 0.0000840464 6293215.192 5879742.988 6049052.733 17.15894 -83.30351 -2.81046 0.0003056611 -3.39960 7.014 0.000464 858.054 272.041 0.00196513599 0.00635824979 0.0000770127 0.0000845251 6283858.926 5873106.928 6037699.358 20.06134 -97.34543 -3.21918 0.0003055379 -4.37041 8.012 0.000530 857.712 272.053 0.00194785261 0.00638607819 0.0000764116 0.0000849862 6275100.100 5867057.834 6027038.528 22.91857 -111.15784 -3.60297 0.0003053978 -5.43726 9.010 0.000596 857.389 272.068 0.00193049670 0.00641346620 0.0000758024 0.0000854368 6266794.525 5861491.715 6016896.257 25.77333 -124.94857 -3.96809 0.0003052392 -6.61327 10.008 0.000662 857.082 272.089 0.00191307102 0.00644041159 0.0000751856 0.0000858766 6258941.163 5856407.352 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291.013 0.019247 932.383 284.680 0.00282798176 0.00315386804 0.0000899833 0.0000325561 8409901.278 7914959.971 8404950.230 162.01967 851.70597 263.41331 0.0002665395 -120.71401 292.011 0.019313 930.858 284.310 0.00282584528 0.00320526689 0.0000902853 0.0000332510 8361742.259 7865632.758 8355146.858 163.95973 843.14229 261.62038 0.0002675363 -112.69725 293.009 0.019379 929.345 283.948 0.00282337038 0.00325663051 0.0000905751 0.0000339510 8314148.152 7816941.393 8305721.247 165.91327 834.39109 259.84106 0.0002685261 -104.78986 294.007 0.019445 927.843 283.594 0.00282056044 0.00330794413 0.0000908527 0.0000346560 8267118.142 7768886.264 8256684.898 167.88064 825.45640 258.07575 0.0002695086 -96.99296 295.005 0.019511 926.353 283.246 0.00281741898 0.00335919357 0.0000911179 0.0000353656 8220651.711 7721467.984 8208048.582 169.86218 816.34226 256.32485 0.0002704835 -89.30764 296.003 0.019577 924.876 282.906 0.00281394964 0.00341036520 0.0000913708 0.0000360798 8174748.512 7674687.200 8159822.423 171.85820 807.05268 254.58871 0.0002714506 -81.73489 297.001 0.019643 923.411 282.573 0.00281015613 0.00346144587 0.0000916111 0.0000367983 8129408.293 7628544.474 8112015.964 173.86901 797.59166 252.86767 0.0002724095 -74.27571 298.014 0.019710 921.936 282.241 0.00280597744 0.00351319439 0.0000918423 0.0000375319 8083956.720 7582355.663 8063923.711 175.92572 787.81600 251.13635 0.0002733742 -66.82059 299.012 0.019776 920.496 281.921 0.00280154222 0.00356405362 0.0000920573 0.0000382583 8039750.342 7537499.743 8016989.871 177.96720 778.02150 249.44673 0.0002743157 -59.59298 300.010 0.019842 919.069 281.607 0.00279679438 0.00361478492 0.0000922597 0.0000389884 7996106.271 7493282.468 7970501.418 180.02430 768.06743 247.77315 0.0002752481 -52.48156 301.008 0.019908 917.654 281.300 0.00279173785 0.00366537684 0.0000924493 0.0000397220 7953024.222 7449703.581 7924465.956 182.09726 757.95763 246.11587 0.0002761712 -45.48710 302.005 0.019974 916.253 280.998 0.00278637658 0.00371581832 0.0000926260 0.0000404587 7910503.844 7406762.591 7878890.665 184.18631 747.69595 244.47516 0.0002770847 -38.61034 303.003 0.020040 914.865 280.703 0.00278071454 0.00376609869 0.0000927900 0.0000411984 7868544.717 7364458.779 7833782.331 186.29164 737.28617 242.85126 0.0002779883 -31.85197 304.001 0.020106 913.490 280.414 0.00277475574 0.00381620762 0.0000929410 0.0000419408 7827146.341 7322791.203 7789147.355 188.41346 726.73204 241.24440 0.0002788818 -25.21264 305.014 0.020173 912.109 280.126 0.00276840721 0.00386689015 0.0000930810 0.0000426970 7785693.680 7281141.885 7744326.467 190.58446 715.87417 239.63085 0.0002797781 -18.59510 306.012 0.020239 910.761 279.848 0.00276186254 0.00391662363 0.0000932059 0.0000434443 7745423.451 7240752.721 7700663.357 192.73999 705.04036 238.05898 0.0002806502 -12.19745 307.010 0.020305 909.428 279.576 0.00275503320 0.00396615660 0.0000933177 0.0000441936 7705711.960 7200995.734 7657490.753 194.91246 694.07325 236.50476 0.0002815114 -5.92054 308.008 0.020371 908.108 279.310 0.00274792322 0.00401548007 0.0000934165 0.0000449448 7666558.366 7161869.214 7614813.669 197.10200 682.97641 234.96839 0.0002823613 0.23514 309.006 0.020437 906.803 279.049 0.00274053662 0.00406458537 0.0000935022 0.0000456976 7627961.742 7123371.295 7572636.811 199.30871 671.75337 233.45002 0.0002831998 6.26914 310.004 0.020503 905.511 278.794 0.00273287743 0.00411346412 0.0000935747 0.0000464517 7589921.077 7085499.960 7530964.581 201.53267 660.40761 231.94982 0.0002840265 12.18105 311.002 0.020569 904.234 278.543 0.00272494966 0.00416210823 0.0000936341 0.0000472070 7552435.277 7048253.060 7489801.091 203.77394 648.94257 230.46794 0.0002848412 17.97048 312.015 0.020636 902.952 278.295 0.00271663117 0.00421124136 0.0000936810 0.0000479747 7514947.843 7011078.176 7448538.214 206.06694 637.18532 228.98247 0.0002856557 23.72202 313.013 0.020702 901.704 278.055 0.00270817434 0.00425938923 0.0000937138 0.0000487316 7478576.537 6975082.591 7408411.287 208.34324 625.49020 227.53790 0.0002864455 29.26365 314.011 0.020768 900.471 277.821 0.00269946099 0.00430727977 0.0000937335 0.0000494890 7442756.328 6939704.264 7368803.855 210.63695 613.68591 226.11204 0.0002872225 34.68187 315.009 0.020834 899.253 277.591 0.00269049508 0.00435490599 0.0000937400 0.0000502466 7407485.821 6904940.619 7329718.975 212.94808 601.77571 224.70498 0.0002879866 39.97645 316.007 0.020900 898.049 277.367 0.00268128058 0.00440226113 0.0000937333 0.0000510042 7372763.554 6870788.999 7291159.463 215.27659 589.76282 223.31684 0.0002887375 45.14716 317.004 0.020966 896.860 277.148 0.00267182144 0.00444933871 0.0000937134 0.0000517616 7338588.001 6837246.677 7253127.908 217.62246 577.65041 221.94770 0.0002894749 50.19382 318.002 0.021032 895.687 276.933 0.00266212157 0.00449613244 0.0000936803 0.0000525185 7304957.577 6804310.861 7215626.676 219.98563 565.44161 220.59766 0.0002901988 55.11627 319.000 0.021098 894.528 276.724 0.00265218489 0.00454263629 0.0000936340 0.0000532747 7271870.639 6771978.707 7178657.926 222.36603 553.13950 219.26678 0.0002909087 59.91439 320.013 0.021165 893.368 276.516 0.00264185941 0.00458954227 0.0000935736 0.0000540414 7238836.544 6739771.147 7141675.695 224.80004 540.55869 217.93542 0.0002916150 64.65793 321.011 0.021231 892.241 276.317 0.00263145728 0.00463544451 0.0000935008 0.0000547955 7206839.617 6708646.633 7105785.714 227.21489 528.07776 216.64338 0.0002922963 69.20521 322.009 0.021297 891.129 276.122 0.00262082999 0.00468103997 0.0000934149 0.0000555483 7175380.924 6678116.946 7070433.527 229.64667 515.51257 215.37070 0.0002929632 73.62794 323.007 0.021363 890.032 275.931 0.00260998135 0.00472632344 0.0000933159 0.0000562994 7144458.632 6648179.092 7035620.530 232.09525 502.86604 214.11744 0.0002936153 77.92607 324.005 0.021429 888.951 275.746 0.00259891516 0.00477128992 0.0000932038 0.0000570487 7114070.874 6618830.060 7001347.949 234.56047 490.14105 212.88362 0.0002942525 82.09962 325.003 0.021495 887.886 275.565 0.00258763518 0.00481593458 0.0000930787 0.0000577959 7084215.745 6590066.822 6967616.848 237.04218 477.34042 211.66930 0.0002948747 86.14861 326.001 0.021561 886.837 275.389 0.00257614518 0.00486025278 0.0000929406 0.0000585409 7054891.308 6561886.342 6934428.139 239.54019 464.46696 210.47451 0.0002954815 90.07307 327.014 0.021628 885.788 275.215 0.00256427007 0.00490490393 0.0000927872 0.0000592945 7025663.358 6533871.830 6901292.135 242.09253 451.32678 209.28161 0.0002960817 93.92970 328.012 0.021694 884.771 275.049 0.00255236809 0.00494855082 0.0000926231 0.0000600342 6997402.356 6506856.459 6869198.604 244.62279 438.31488 208.12625 0.0002966572 97.60346 329.010 0.021760 883.770 274.887 0.00254026722 0.00499185824 0.0000924461 0.0000607708 6969666.053 6480414.684 6837649.350 247.16874 425.23834 206.99047 0.0002972169 101.15296 330.008 0.021826 882.785 274.729 0.00252797109 0.00503482218 0.0000922563 0.0000615043 6942452.420 6454543.478 6806644.738 249.73013 412.09981 205.87431 0.0002977605 104.57834 331.006 0.021892 881.816 274.576 0.00251548332 0.00507743880 0.0000920537 0.0000622343 6915759.409 6429239.829 6776185.015 252.30672 398.90190 204.77776 0.0002982880 107.87972 332.004 0.021958 880.863 274.428 0.00250280750 0.00511970436 0.0000918385 0.0000629608 6889584.964 6404500.739 6746270.314 254.89824 385.64717 203.70083 0.0002987992 111.05729 333.001 0.022024 879.926 274.284 0.00248994719 0.00516161529 0.0000916106 0.0000636833 6863927.015 6380323.231 6716900.662 257.50442 372.33817 202.64352 0.0002992939 114.11121 334.014 0.022091 878.993 274.143 0.00247670695 0.00520379493 0.0000913665 0.0000644126 6838406.469 6356350.772 6687643.442 260.16478 358.77457 201.59026 0.0002997791 117.08516 335.012 0.022157 878.089 274.008 0.00246348556 0.00524498082 0.0000911134 0.0000651268 6813783.026 6333295.991 6659371.834 262.79959 345.36378 200.57248 0.0003002401 119.89055 336.010 0.022223 877.202 273.878 0.00245009024 0.00528580200 0.0000908479 0.0000658364 6789669.808 6310793.970 6631644.781 265.44816 331.90615 199.57431 0.0003006843 122.57296 337.008 0.022289 876.332 273.752 0.00243652445 0.00532625535 0.0000905701 0.0000665412 6766064.731 6288841.840 6604461.949 268.11014 318.40412 198.59573 0.0003011114 125.13263 338.006 0.022355 875.478 273.631 0.00242279159 0.00536633786 0.0000902801 0.0000672411 6742965.717 6267436.770 6577822.924 270.78520 304.86004 197.63672 0.0003015213 127.56981 339.004 0.022421 874.640 273.514 0.00240889507 0.00540604660 0.0000899780 0.0000679359 6720370.690 6246575.963 6551727.224 273.47298 291.27628 196.69728 0.0003019139 129.88479 340.002 0.022487 873.820 273.402 0.00239483825 0.00544537877 0.0000896637 0.0000686253 6698277.581 6226256.660 6526174.303 276.17313 277.65514 195.77737 0.0003022890 132.07786 341.015 0.022554 873.004 273.292 0.00238040792 0.00548491888 0.0000893325 0.0000693194 6676360.997 6206180.569 6500788.768 278.92645 263.79175 194.86349 0.0003026520 134.17976 342.013 0.022620 872.217 273.189 0.00236603819 0.00552348394 0.0000889943 0.0000699974 6655273.090 6186944.264 6476327.725 281.65036 250.10224 193.98290 0.0003029917 136.12809 343.011 0.022686 871.447 273.090 0.00235151814 0.00556166440 0.0000886443 0.0000706693 6634680.933 6168241.398 6452407.469 284.38547 236.38218 193.12177 0.0003033137 137.95545 344.009 0.022752 870.693 272.995 0.00233685104 0.00559945776 0.0000882827 0.0000713351 6614582.510 6150069.382 6429027.241 287.13138 222.63379 192.28008 0.0003036178 139.66218 345.007 0.022818 869.957 272.905 0.00232204011 0.00563686157 0.0000879095 0.0000719944 6594975.819 6132425.676 6406186.245 289.88765 208.85925 191.45780 0.0003039040 141.24865 346.005 0.022884 869.237 272.820 0.00230708856 0.00567387345 0.0000875249 0.0000726472 6575858.882 6115307.788 6383883.648 292.65387 195.06073 190.65491 0.0003041721 142.71521 347.003 0.022950 868.534 272.738 0.00229199957 0.00571049107 0.0000871290 0.0000732932 6557229.738 6098713.273 6362118.585 295.42960 181.24038 189.87137 0.0003044222 144.06224 348.000 0.023016 867.848 272.662 0.00227677630 0.00574671216 0.0000867219 0.0000739321 6539086.453 6082639.737 6340890.168 298.21438 167.40031 189.10714 0.0003046541 145.29012 349.014 0.023083 867.170 272.588 0.00226118824 0.00578307417 0.0000862974 0.0000745734 6521163.261 6066853.134 6319888.074 301.05014 153.33254 188.35107 0.0003048708 146.41514 350.011 0.023149 866.518 272.520 0.00224570386 0.00581848945 0.0000858681 0.0000751977 6503993.275 6051822.385 6299738.288 303.85176 139.45910 187.62568 0.0003050658 147.40413 351.009 0.023215 865.884 272.457 0.00223009457 0.00585350160 0.0000854280 0.0000758144 6487303.467 6037305.708 6280122.346 306.66102 125.57222 186.91950 0.0003052425 148.27519 352.007 0.023281 865.266 272.398 0.00221436342 0.00588810851 0.0000849773 0.0000764234 6471092.011 6023300.917 6261039.294 309.47742 111.67394 186.23251 0.0003054007 149.02875 353.005 0.023347 864.666 272.343 0.00219851347 0.00592230807 0.0000845160 0.0000770244 6455357.111 6009805.880 6242488.172 312.30049 97.76630 185.56467 0.0003055404 149.66522 354.003 0.023413 864.082 272.293 0.00218254772 0.00595609823 0.0000840443 0.0000776173 6440097.005 5996818.518 6224468.017 315.12970 83.85129 184.91595 0.0003056616 150.18507 355.001 0.023479 863.516 272.247 0.00216646917 0.00598947693 0.0000835624 0.0000782019 6425309.966 5984336.809 6206977.868 317.96454 69.93093 184.28630 0.0003057643 150.58872 356.014 0.023546 862.959 272.205 0.00215003468 0.00602293844 0.0000830628 0.0000787867 6410781.014 5972181.161 6189763.848 320.84755 55.79621 183.66660 0.0003058495 150.88013 357.012 0.023612 862.428 272.168 0.00213373785 0.00605548186 0.0000825607 0.0000793540 6396942.173 5960712.491 6173338.848 323.69214 41.87106 183.07530 0.0003059147 151.05104 358.010 0.023678 861.913 272.135 0.00211733712 0.00608760773 0.0000820487 0.0000799125 6383571.412 5949743.702 6157441.003 326.54075 27.94649 182.50297 0.0003059612 151.10717 359.008 0.023744 861.416 272.107 0.00210083544 0.00611931405 0.0000815271 0.0000804619 6370667.155 5939272.990 6142069.393 329.39284 14.02446 181.94960 0.0003059891 151.04899 360.006 0.023810 860.936 272.083 0.00208423568 0.00615059881 0.0000809960 0.0000810023 6358227.869 5929298.606 6127223.117 332.24784 0.10689 181.41513 0.0003059983 150.87699 Engine speed (Hz) = 42.0000000000 Output power (W) = 6336.6874675313 Heat into heater (W) = 13954.4094391185 Heat to regenerator (W) = 4.4894706557 Heat removal from cooler (W) = 7619.4354629721 Approximate Pumping loss (W) = -4758.2736642320 Thermal efficiency (%) = 45.4099293501 The average engine pressure (Pa) = 8474060.6195574645 The exp space work per cycle (J) = 332.2534016261 The comp space work per cycle (J) = -181.3798904944 The net work per cycle (J) = 150.8735111317 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -952.3943883006 The expansion work for Vmin-to-Vmax (J) = 1103.2678994323 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 861.860 272.137 0.00208650938 0.00614427126 0.0000809929 0.0000810053 6372233.038 5924145.017 6131321.487 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000065 861.404 272.119 0.00206993798 0.00617496926 0.0000804564 0.0000815325 6360413.366 5914867.703 6117039.751 2.82312 -13.81755 -0.51414 0.0003059889 -0.29370 2.008 0.000130 860.958 272.106 0.00205301327 0.00620571909 0.0000799022 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282.32846 0.0002572816 -201.32252 283.001 0.018282 945.499 287.921 0.00283186522 0.00273767592 0.0000871307 0.0000271894 8819506.059 8320262.333 8821786.897 145.58234 911.10982 280.43865 0.0002583201 -192.45084 284.008 0.018347 943.939 287.475 0.00283287664 0.00278902800 0.0000875298 0.0000278408 8767944.752 8265190.131 8768848.338 147.48812 904.34395 278.53286 0.0002593706 -183.53769 285.014 0.018412 942.358 287.040 0.00283337625 0.00284049284 0.0000879174 0.0000284991 8716204.249 8210813.181 8716313.215 149.37939 897.27073 276.64159 0.0002604165 -174.72441 286.005 0.018476 940.780 286.621 0.00283336604 0.00289126048 0.0000882876 0.0000291538 8665084.994 8157962.125 8664998.357 151.23026 890.00711 274.79426 0.0002614414 -166.14611 287.011 0.018541 939.186 286.206 0.00283298851 0.00294289806 0.0000886521 0.0000298252 8613698.679 8104978.493 8613175.369 153.11875 882.41012 272.92863 0.0002624773 -157.53637 288.001 0.018605 937.629 285.806 0.00283227209 0.00299379492 0.0000889993 0.0000304924 8563698.090 8053473.560 8562443.835 154.98955 874.72620 271.10230 0.0002634917 -149.16150 289.008 0.018670 936.059 285.409 0.00283119431 0.00304552145 0.0000893401 0.0000311761 8513506.304 8001825.993 8511238.859 156.90151 866.71806 269.25892 0.0002645162 -140.76114 290.014 0.018735 934.501 285.020 0.00282976533 0.00309726392 0.0000896688 0.0000318657 8463901.927 7950838.794 8460372.829 158.82585 858.50781 267.42774 0.0002655345 -132.46833 291.005 0.018799 932.979 284.646 0.00282801756 0.00314820883 0.0000899806 0.0000325501 8415630.507 7901277.481 8410635.391 160.73304 850.23020 265.63719 0.0002665308 -124.40944 292.011 0.018864 931.445 284.274 0.00282589927 0.00319993182 0.0000902852 0.0000332507 8367180.952 7851591.333 8360485.939 162.68304 841.63053 263.83181 0.0002675359 -116.33385 293.001 0.018928 929.946 283.915 0.00282347869 0.00325082611 0.0000905729 0.0000339457 8320042.330 7803308.352 8311479.878 164.61620 832.97734 262.06759 0.0002685186 -108.49120 294.008 0.018993 928.435 283.558 0.00282068353 0.00330246724 0.0000908528 0.0000346565 8272740.372 7754919.501 8262097.479 166.59329 824.00424 260.28983 0.0002695093 -100.63754 295.014 0.019058 926.938 283.208 0.00281755251 0.00335404519 0.0000911202 0.0000353721 8226015.202 7707184.341 8213118.519 168.58455 814.84907 258.52658 0.0002704923 -92.89736 296.005 0.019122 925.475 282.871 0.00281414503 0.00340475433 0.0000913712 0.0000360811 8180571.780 7660822.458 8165297.385 170.55932 805.66080 256.80502 0.0002714523 -85.38815 297.011 0.019187 924.002 282.535 0.00281035830 0.00345616606 0.0000916135 0.0000368056 8134989.460 7614385.218 8117149.358 172.57964 796.15631 255.07169 0.0002724191 -77.87621 298.002 0.019251 922.564 282.211 0.00280631251 0.00350668596 0.0000918396 0.0000375230 8090670.297 7569301.514 8070164.869 174.58363 786.63191 253.38025 0.0002733626 -70.59360 299.008 0.019316 921.117 281.889 0.00280188504 0.00355788041 0.0000920565 0.0000382554 8046228.849 7524162.363 8022884.293 176.63420 776.79391 251.67815 0.0002743119 -63.31361 300.014 0.019381 919.682 281.573 0.00279714053 0.00360894712 0.0000922605 0.0000389916 8002361.531 7479676.913 7976053.383 178.70041 766.79377 249.99224 0.0002752521 -56.15176 301.005 0.019445 918.283 281.269 0.00279216308 0.00365909202 0.0000924487 0.0000397198 7959729.531 7436514.022 7930389.890 180.75036 756.79288 248.34835 0.0002761686 -49.21631 302.011 0.019510 916.875 280.966 0.00278680108 0.00370987102 0.0000926270 0.0000404627 7917000.025 7393324.102 7884474.119 182.84835 746.48253 246.69539 0.0002770896 -42.29126 303.002 0.019574 915.502 280.674 0.00278122339 0.00375971113 0.0000927897 0.0000411970 7875487.143 7351435.126 7839725.612 184.93002 736.18368 245.08444 0.0002779867 -35.59037 304.008 0.019639 914.121 280.383 0.00277525967 0.00381015944 0.0000929419 0.0000419456 7833892.903 7309536.885 7794752.479 187.06063 725.57824 243.46541 0.0002788875 -28.90489 305.014 0.019704 912.754 280.098 0.00276899879 0.00386042576 0.0000930810 0.0000426968 7792869.554 7268287.508 7750263.775 189.20795 714.82973 241.86381 0.0002797778 -22.34107 306.005 0.019768 911.421 279.823 0.00276254782 0.00390973137 0.0000932050 0.0000434386 7753034.272 7228305.159 7706938.507 191.33872 704.11042 240.30410 0.0002806436 -15.99766 307.011 0.019833 910.082 279.550 0.00275570918 0.00395960767 0.0000933178 0.0000441942 7713141.264 7188338.642 7663428.197 193.51967 693.08893 238.73773 0.0002815120 -9.67696 308.002 0.019897 908.777 279.287 0.00274869722 0.00400851115 0.0000934159 0.0000449399 7674417.009 7149615.824 7621076.626 195.68381 682.10790 237.21308 0.0002823558 -3.57393 309.008 0.019962 907.466 279.025 0.00274129682 0.00405796128 0.0000935023 0.0000456989 7635650.276 7110924.549 7578565.100 197.89889 670.82771 235.68266 0.0002832013 2.50169 310.014 0.020027 906.170 278.768 0.00273361943 0.00410718374 0.0000935754 0.0000464593 7597449.306 7072872.573 7536563.778 200.13130 659.42246 234.17061 0.0002840347 8.45317 311.005 0.020091 904.907 278.521 0.00272579347 0.00415541846 0.0000936343 0.0000472092 7560387.580 7036028.331 7495711.251 202.34638 648.07388 232.69992 0.0002848435 14.19143 312.011 0.020156 903.640 278.275 0.00271757837 0.00420416490 0.0000936808 0.0000479717 7523305.592 6999237.989 7454734.794 204.61340 636.43073 231.22477 0.0002856525 19.89544 313.002 0.020220 902.406 278.038 0.00270923081 0.00425191573 0.0000937135 0.0000487232 7487342.953 6963631.047 7414898.792 206.86263 624.85455 229.79067 0.0002864367 25.38938 314.008 0.020285 901.169 277.803 0.00270049391 0.00430015584 0.0000937335 0.0000494868 7451374.360 6928092.134 7374961.756 209.16440 612.98689 228.35294 0.0002872203 30.84465 315.014 0.020350 899.946 277.573 0.00269150010 0.00434813000 0.0000937400 0.0000502507 7415964.492 6893179.685 7335553.323 211.48369 601.01107 226.93424 0.0002879907 36.17421 316.005 0.020414 898.756 277.352 0.00268239752 0.00439509955 0.0000937333 0.0000510028 7381643.716 6859413.658 7297270.493 213.78440 589.11698 225.55606 0.0002887361 41.29873 317.011 0.020479 897.564 277.132 0.00267290567 0.00444252570 0.0000937132 0.0000517665 7347337.848 6825735.979 7258919.591 216.13840 576.93613 224.17542 0.0002894797 46.37816 318.002 0.020543 896.404 276.920 0.00266332045 0.00448894299 0.0000936803 0.0000525179 7314100.775 6793180.002 7221683.036 218.47320 564.84637 222.83491 0.0002901982 51.25606 319.008 0.020608 895.242 276.710 0.00265334621 0.00453579585 0.0000936336 0.0000532804 7280892.074 6760725.359 7184399.417 220.86172 552.47301 221.49270 0.0002909140 56.08473 320.014 0.020673 894.096 276.506 0.00264313478 0.00458235082 0.0000935735 0.0000540420 7248233.489 6728882.408 7147656.740 223.26751 540.00727 220.16996 0.0002916155 60.78687 321.005 0.020737 892.982 276.309 0.00263285252 0.00462789294 0.0000935013 0.0000547906 7216613.000 6698123.972 7112009.662 225.65307 527.64602 218.88667 0.0002922920 65.29299 322.011 0.020802 891.867 276.113 0.00262218194 0.00467383991 0.0000934147 0.0000555496 7185040.563 6667485.752 7076345.853 228.09284 515.00596 217.60277 0.0002929644 69.74383 323.002 0.020866 890.784 275.926 0.00261145512 0.00471877284 0.0000933165 0.0000562954 7154485.738 6637907.403 7041764.096 230.51162 502.47886 216.35782 0.0002936118 74.00243 324.008 0.020931 889.700 275.741 0.00260034064 0.00476409078 0.0000932035 0.0000570509 7123991.709 6608461.465 7007185.005 232.98486 489.67614 215.11298 0.0002942544 78.20187 325.014 0.020996 888.632 275.560 0.00258900821 0.00480908429 0.0000930773 0.0000578043 7094038.047 6579611.536 6973154.268 235.47472 476.79579 213.88787 0.0002948816 82.27465 326.005 0.021060 887.596 275.387 0.00257764086 0.00485306395 0.0000929401 0.0000585438 7065071.164 6551784.673 6940183.805 237.94235 464.04051 212.70093 0.0002954839 86.16106 327.011 0.021125 886.560 275.215 0.00256588709 0.00489739959 0.0000927877 0.0000592924 7036183.784 6524108.132 6907244.116 240.46467 451.01448 211.51511 0.0002960801 89.98263 328.002 0.021189 885.555 275.051 0.00255411219 0.00494072274 0.0000926248 0.0000600267 7008262.708 6497430.415 6875349.400 242.96387 438.12117 210.36690 0.0002966515 93.62185 329.008 0.021254 884.551 274.889 0.00254195186 0.00498438303 0.0000924464 0.0000607695 6980433.300 6470914.703 6843503.501 245.51783 424.96036 209.22044 0.0002972159 97.19255 330.014 0.021319 883.564 274.732 0.00252959221 0.00502769681 0.0000922550 0.0000615090 6953133.783 6444979.171 6812209.441 248.08740 411.73567 208.09386 0.0002977640 100.63702 331.005 0.021383 882.608 274.582 0.00251723152 0.00507000179 0.0000920539 0.0000622338 6926769.883 6420006.443 6781936.299 250.63243 398.65461 207.00402 0.0002982877 103.90533 332.011 0.021448 881.653 274.434 0.00250448712 0.00511261623 0.0000918368 0.0000629662 6900515.586 6395213.033 6751738.229 253.23219 385.31099 205.91689 0.0002988030 107.09975 333.002 0.021512 880.728 274.293 0.00249175464 0.00515422532 0.0000916105 0.0000636836 6875176.608 6371358.810 6722544.485 255.80643 372.11788 204.86592 0.0002992941 110.12220 334.008 0.021577 879.806 274.154 0.00247863975 0.00519612583 0.0000913681 0.0000644080 6849958.949 6347695.289 6693442.744 258.43530 358.66551 203.81826 0.0002997761 113.06731 335.014 0.021642 878.901 274.020 0.00246534350 0.00523766140 0.0000911129 0.0000651280 6825260.365 6324596.528 6664893.294 261.07840 345.16212 202.79048 0.0003002410 115.88711 336.005 0.021706 878.026 273.892 0.00245207805 0.00527819817 0.0000908494 0.0000658325 6801446.790 6302401.993 6637322.480 263.69441 331.81906 201.79793 0.0003006819 118.54133 337.011 0.021771 877.153 273.767 0.00243843233 0.00531899971 0.0000905693 0.0000665432 6777771.892 6280415.162 6609868.428 266.36477 318.22177 200.80958 0.0003011126 121.11316 338.002 0.021835 876.311 273.648 0.00242482957 0.00535880759 0.0000902814 0.0000672381 6754962.020 6259309.707 6583375.524 269.00698 304.79097 199.85584 0.0003015195 123.52372 339.008 0.021900 875.472 273.532 0.00241084809 0.00539886283 0.0000899767 0.0000679387 6732302.220 6238423.216 6557015.432 271.70326 291.10933 198.90687 0.0003019154 125.84863 340.014 0.021965 874.649 273.420 0.00239670255 0.00543853759 0.0000896598 0.0000686337 6710150.667 6218086.868 6531205.837 274.41205 277.38873 197.97773 0.0003022935 128.04955 341.005 0.022029 873.856 273.315 0.00238261765 0.00547722749 0.0000893359 0.0000693126 6688834.393 6198598.161 6506330.619 277.09103 263.84344 197.08222 0.0003026484 130.09578 342.011 0.022094 873.068 273.212 0.00236815658 0.00551613886 0.0000889949 0.0000699962 6667685.150 6179345.336 6481611.808 279.82354 250.05245 196.19234 0.0003029911 132.05157 343.002 0.022158 872.308 273.115 0.00235376752 0.00555407184 0.0000886475 0.0000706633 6647351.629 6160918.152 6457809.331 282.52509 236.44230 195.33545 0.0003033108 133.85708 344.008 0.022223 871.553 273.022 0.00233900410 0.00559220925 0.0000882830 0.0000713346 6627196.326 6142738.117 6434178.644 285.27972 222.58992 194.48475 0.0003036176 135.56906 345.014 0.022288 870.815 272.932 0.00232409326 0.00562995287 0.0000879067 0.0000719994 6607538.718 6125094.689 6411095.115 288.04487 208.70996 193.65374 0.0003039061 137.15872 346.005 0.022352 870.106 272.849 0.00230927098 0.00566672864 0.0000875248 0.0000726474 6588667.794 6108244.484 6388900.533 290.77733 195.01874 192.85474 0.0003041722 138.60478 347.011 0.022417 869.402 272.769 0.00229407724 0.00570368343 0.0000871256 0.0000732987 6569991.816 6091658.439 6366900.493 293.56206 181.09059 192.06274 0.0003044243 139.95280 348.002 0.022481 868.725 272.694 0.00227898269 0.00573967787 0.0000867214 0.0000739330 6552083.478 6075844.507 6345771.086 296.31293 167.35616 191.30208 0.0003046544 141.16169 349.008 0.022546 868.056 272.623 0.00226351875 0.00577583450 0.0000862997 0.0000745700 6534381.172 6060306.115 6324851.142 299.11545 153.38837 190.54896 0.0003048697 142.26961 350.014 0.022611 867.403 272.556 0.00224792342 0.00581158553 0.0000858669 0.0000751995 6517166.528 6045292.058 6304474.092 301.92622 139.40380 189.81538 0.0003050664 143.25717 351.005 0.022675 866.777 272.495 0.00223244270 0.00584638809 0.0000854300 0.0000758118 6500691.306 6031019.040 6284940.068 304.70133 125.62004 189.11216 0.0003052417 144.11235 352.011 0.022740 866.159 272.437 0.00221659591 0.00588132755 0.0000849755 0.0000764258 6484438.774 6017038.808 6265637.715 307.52704 111.60842 188.41728 0.0003054013 144.86229 353.002 0.022804 865.567 272.384 0.00220087364 0.00591532677 0.0000845175 0.0000770225 6468907.198 6003779.400 6247160.042 310.31589 97.80207 187.75208 0.0003055400 145.48435 354.008 0.022869 864.983 272.335 0.00218478763 0.00594944608 0.0000840419 0.0000776203 6453609.399 5990824.349 6228928.694 313.15453 83.77159 187.09575 0.0003056622 145.99842 355.014 0.022934 864.416 272.290 0.00216858568 0.00598314894 0.0000835559 0.0000782096 6438789.957 5978382.728 6211235.597 315.99892 69.73467 186.45880 0.0003057655 146.39431 356.005 0.022998 863.875 272.251 0.00215252266 0.00601592434 0.0000830673 0.0000787815 6424664.165 5966632.192 6194339.684 318.80464 55.90940 185.85055 0.0003058488 146.66911 357.011 0.023063 863.343 272.215 0.00213609960 0.00604879442 0.0000825610 0.0000793536 6410788.884 5955203.594 6177712.043 321.65883 41.86572 185.25195 0.0003059146 146.83187 358.002 0.023127 862.836 272.184 0.00211982473 0.00608074576 0.0000820528 0.0000799081 6397589.415 5944446.737 6161863.408 324.47315 28.03772 184.68140 0.0003059609 146.87806 359.008 0.023192 862.338 272.158 0.00210319242 0.00611277477 0.0000815269 0.0000804621 6384651.648 5934023.641 6146297.618 327.33498 13.99523 184.12103 0.0003059891 146.80959 360.014 0.023257 861.857 272.135 0.00208645913 0.00614437685 0.0000809914 0.0000810069 6372183.856 5924104.485 6131265.543 330.19982 -0.04369 183.57988 0.0003059983 146.62535 Engine speed (Hz) = 43.0000000000 Output power (W) = 6304.7295540328 Heat into heater (W) = 14198.5921341218 Heat to regenerator (W) = -1.8784943763 Heat removal from cooler (W) = 7893.9347108865 Approximate Pumping loss (W) = -5079.8881747422 Thermal efficiency (%) = 44.4039063484 The average engine pressure (Pa) = 8475929.4099136125 The exp space work per cycle (J) = 330.1363517465 The comp space work per cycle (J) = -183.5147342108 The net work per cycle (J) = 146.6216175356 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -954.5566184241 The expansion work for Vmin-to-Vmax (J) = 1101.1782359597 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 862.799 272.189 0.00208886778 0.00613774055 0.0000809914 0.0000810069 6386510.175 5918874.994 6135539.619 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.012 0.000064 862.343 272.173 0.00207217940 0.00616871981 0.0000804509 0.0000815378 6374681.105 5909668.851 6121091.797 2.82961 -13.92432 -0.52012 0.0003059887 -0.30703 2.010 0.000127 861.904 272.161 0.00205539618 0.00619927660 0.0000799012 0.0000820592 6363308.518 5900954.424 6107166.962 5.66108 -27.84221 -1.02142 0.0003059604 -0.72699 3.008 0.000190 861.482 272.154 0.00203852100 0.00622940879 0.0000793426 0.0000825710 6352390.947 5892730.126 6093764.365 8.49384 -41.75172 -1.50391 0.0003059135 -1.25937 4.006 0.000253 861.077 272.151 0.00202155669 0.00625911425 0.0000787751 0.0000830729 6341926.976 5884994.426 6080883.286 11.32729 -55.65093 -1.96763 0.0003058480 -1.90366 5.004 0.000316 860.689 272.153 0.00200450611 0.00628839081 0.0000781989 0.0000835649 6331915.235 5877745.845 6068523.040 14.16086 -69.53792 -2.41260 0.0003057638 -2.65934 6.002 0.000379 860.319 272.159 0.00198737208 0.00631723630 0.0000776143 0.0000840468 6322354.405 5870982.958 6056682.974 16.99394 -83.41076 -2.83884 0.0003056611 -3.52588 7.016 0.000443 859.960 272.170 0.00196988353 0.00634609597 0.0000770119 0.0000845258 6313102.216 5864608.631 6045186.974 19.87086 -97.48735 -3.25270 0.0003055377 -4.51915 8.014 0.000506 859.623 272.185 0.00195258982 0.00637406569 0.0000764107 0.0000849869 6304446.569 5858820.723 6034393.709 22.70110 -111.32584 -3.64125 0.0003053976 -5.60755 9.012 0.000569 859.304 272.204 0.00193522115 0.00640159756 0.0000758016 0.0000854374 6296238.174 5853514.526 6024118.907 25.52899 -125.14440 -4.01115 0.0003052390 -6.80519 10.009 0.000632 859.002 272.228 0.00191778029 0.00642868925 0.0000751847 0.0000858772 6288475.929 5848688.820 6014362.090 28.35391 -138.94110 -4.36239 0.0003050619 -8.11152 11.007 0.000695 858.716 272.256 0.00190027003 0.00645533840 0.0000745602 0.0000863063 6281158.789 5844342.431 6005122.826 31.17523 -152.71401 -4.69500 0.0003048665 -9.52599 12.005 0.000758 858.448 272.288 0.00188269318 0.00648154260 0.0000739284 0.0000867244 6274285.768 5840474.236 5996400.739 33.99229 -166.46122 -5.00900 0.0003046528 -11.04803 13.003 0.000821 858.197 272.325 0.00186505249 0.00650729939 0.0000732894 0.0000871314 6267855.941 5837083.156 5988195.506 36.80444 -180.18077 -5.30439 0.0003044208 -12.67707 14.001 0.000884 857.964 272.367 0.00184735075 0.00653260625 0.0000726434 0.0000875272 6261868.447 5834168.154 5980506.862 39.61103 -193.87075 -5.58118 0.0003041706 -14.41255 15.015 0.000948 857.743 272.413 0.00182930838 0.00655785146 0.0000719802 0.0000879178 6256238.012 5831693.336 5973224.917 42.45579 -207.74572 -5.84333 0.0003038980 -16.28397 16.013 0.001011 857.544 272.463 0.00181149201 0.00658224345 0.0000713207 0.0000882907 6251139.847 5829735.075 5966577.087 45.24914 -221.37013 -6.08265 0.0003036114 -18.23224 17.011 0.001074 857.362 272.518 0.00179362295 0.00660617757 0.0000706548 0.0000886521 6246481.813 5828250.024 5960445.419 48.03489 -234.95906 -6.30339 0.0003033068 -20.28519 18.009 0.001137 857.196 272.577 0.00177570398 0.00662965106 0.0000699827 0.0000890018 6242263.319 5827237.307 5954829.900 50.81237 -248.51053 -6.50555 0.0003029845 -22.44221 19.007 0.001200 857.048 272.640 0.00175773787 0.00665266108 0.0000693046 0.0000893397 6238483.844 5826696.086 5949730.592 53.58087 -262.02257 -6.68912 0.0003026444 -24.70272 20.004 0.001263 856.917 272.708 0.00173972741 0.00667520473 0.0000686208 0.0000896658 6235142.944 5826625.554 5945147.627 56.33970 -275.49317 -6.85411 0.0003022866 -27.06610 21.002 0.001326 856.804 272.780 0.00172167536 0.00669727902 0.0000679313 0.0000899800 6232240.251 5827024.937 5941081.212 59.08815 -288.92034 -7.00050 0.0003019113 -29.53174 22.000 0.001389 856.707 272.856 0.00170358452 0.00671888088 0.0000672365 0.0000902821 6229775.476 5827893.485 5937531.630 61.82551 -302.30203 -7.12829 0.0003015186 -32.09904 23.014 0.001453 856.626 272.939 0.00168516968 0.00674033865 0.0000665254 0.0000905765 6227719.764 5829255.474 5934455.287 64.59421 -315.84748 -7.23904 0.0003011020 -34.81052 24.012 0.001516 856.564 273.024 0.00166700912 0.00676097849 0.0000658205 0.0000908540 6226137.232 5831067.630 5931948.770 67.30701 -329.13131 -7.32927 0.0003006745 -37.58083 25.010 0.001579 856.519 273.114 0.00164881822 0.00678113614 0.0000651108 0.0000911192 6224992.250 5833346.840 5929960.439 70.00652 -342.36348 -7.40085 0.0003002300 -40.45089 26.008 0.001642 856.491 273.208 0.00163059976 0.00680080815 0.0000643966 0.0000913720 6224284.872 5836092.440 5928490.913 72.69200 -355.54189 -7.45375 0.0002997686 -43.42007 27.006 0.001705 856.480 273.306 0.00161235659 0.00681999102 0.0000636780 0.0000916123 6224015.245 5839303.778 5927540.904 75.36271 -368.66444 -7.48795 0.0002992904 -46.48772 28.004 0.001768 856.487 273.409 0.00159409152 0.00683868110 0.0000629555 0.0000918401 6224183.612 5842980.211 5927111.215 78.01789 -381.72900 -7.50342 0.0002987955 -49.65319 29.002 0.001831 856.510 273.516 0.00157580741 0.00685687468 0.0000622290 0.0000920552 6224790.313 5847121.100 5927202.744 80.65678 -394.73341 -7.50013 0.0002982843 -52.91583 30.015 0.001895 856.552 273.629 0.00155721651 0.00687484470 0.0000614873 0.0000922608 6225855.926 5851802.635 5927830.448 83.32010 -407.88042 -7.47753 0.0002977481 -56.32907 31.013 0.001958 856.611 273.745 0.00153890268 0.00689202559 0.0000607538 0.0000924503 6227347.710 5856877.866 5928975.825 85.92383 -420.75696 -7.43630 0.0002972041 -59.78557 32.011 0.002021 856.686 273.865 0.00152057846 0.00690869803 0.0000600171 0.0000926270 6229279.490 5862415.608 5930645.741 88.50895 -433.56673 -7.37618 0.0002966441 -63.33721 33.009 0.002084 856.779 273.989 0.00150224674 0.00692485784 0.0000592774 0.0000927909 6231652.040 5868415.195 5932841.510 91.07467 -446.30748 -7.29713 0.0002960682 -66.98333 34.007 0.002147 856.889 274.118 0.00148391043 0.00694050068 0.0000585349 0.0000929418 6234466.252 5874875.936 5935564.557 93.62019 -458.97694 -7.19910 0.0002954767 -70.72323 35.005 0.002210 857.017 274.251 0.00146557245 0.00695562212 0.0000577900 0.0000930798 6237723.141 5881797.113 5938816.422 96.14472 -471.57281 -7.08204 0.0002948697 -74.55621 36.003 0.002273 857.161 274.388 0.00144723575 0.00697021756 0.0000570427 0.0000932048 6241423.847 5889177.973 5942598.765 98.64747 -484.09275 -6.94587 0.0002942475 -78.48158 37.001 0.002336 857.324 274.529 0.00142890329 0.00698428228 0.0000562934 0.0000933167 6245569.644 5897017.719 5946913.371 101.12761 -496.53440 -6.79054 0.0002936101 -82.49863 38.015 0.002400 857.506 274.677 0.00141028726 0.00699802180 0.0000555303 0.0000934171 6250238.446 5905450.902 5951843.432 103.62313 -509.09091 -6.61306 0.0002929474 -86.67258 39.012 0.002463 857.703 274.827 0.00139197245 0.00701100168 0.0000547775 0.0000935027 6255285.928 5914213.061 5957236.960 106.05522 -521.36744 -6.41890 0.0002922802 -90.87225 40.010 0.002526 857.918 274.981 0.00137367093 0.00702343567 0.0000540234 0.0000935752 6260783.200 5923431.347 5963168.928 108.46222 -533.55835 -6.20534 0.0002915985 -95.16143 41.008 0.002589 858.150 275.139 0.00135538575 0.00703531842 0.0000532681 0.0000936345 6266732.128 5933104.691 5969641.671 110.84331 -545.66117 -5.97233 0.0002909025 -99.53936 42.006 0.002652 858.400 275.301 0.00133711998 0.00704664439 0.0000525118 0.0000936806 6273134.740 5943231.925 5976657.677 113.19763 -557.67334 -5.71975 0.0002901925 -104.00530 43.004 0.002715 858.667 275.468 0.00131887671 0.00705740789 0.0000517549 0.0000937136 6279993.240 5953811.767 5984219.597 115.52435 -569.59230 -5.44752 0.0002894685 -108.55850 44.002 0.002778 858.952 275.638 0.00130065905 0.00706760300 0.0000509976 0.0000937334 6287310.015 5964842.800 5992330.255 117.82260 -581.41543 -5.15554 0.0002887310 -113.19819 45.000 0.002841 859.255 275.813 0.00128247013 0.00707722360 0.0000502400 0.0000937400 6295087.643 5976323.457 6000992.660 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-917.81743 16.54169 0.0002562093 -323.86096 80.006 0.005051 880.803 285.032 0.00068682830 0.00702650392 0.0000252854 0.0000858703 6866556.196 6693791.953 6654452.561 175.71309 -924.80195 17.42752 0.0002551557 -331.00592 81.004 0.005114 881.679 285.415 0.00067174694 0.00701410129 0.0000246687 0.0000854303 6890529.948 6725419.566 6682238.390 176.51651 -931.60996 18.33066 0.0002540990 -338.19962 82.002 0.005177 882.568 285.805 0.00065681985 0.00700105390 0.0000240597 0.0000849796 6914912.262 6757734.566 6710520.079 177.27038 -938.23801 19.25168 0.0002530393 -345.44073 83.000 0.005240 883.469 286.202 0.00064205183 0.00698735653 0.0000234586 0.0000845184 6939705.853 6790739.633 6739298.084 177.97419 -944.68264 20.19116 0.0002519770 -352.72792 84.014 0.005304 884.397 286.613 0.00062721721 0.00697277083 0.0000228563 0.0000840392 6965317.022 6824977.903 6769041.504 178.63742 -951.03816 21.16507 0.0002508955 -360.17657 85.012 0.005367 885.324 287.024 0.00061278448 0.00695774732 0.0000222718 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216.17133 0.0002948751 78.24455 326.002 0.020581 888.373 275.384 0.00257922847 0.00484544901 0.0000929405 0.0000585414 7075575.819 6541721.853 6946277.319 236.27973 463.75695 214.97473 0.0002954820 82.15106 327.015 0.020645 887.335 275.213 0.00256742871 0.00489010234 0.0000927870 0.0000592956 7046618.900 6513987.646 6913062.956 238.80794 450.65932 213.77901 0.0002960826 85.99211 328.013 0.020708 886.329 275.050 0.00255560767 0.00493372540 0.0000926228 0.0000600352 7018642.711 6487268.493 6880911.686 241.31245 437.69689 212.62157 0.0002966580 89.64775 329.011 0.020771 885.339 274.891 0.00254358623 0.00497701429 0.0000924458 0.0000607719 6991188.482 6461123.281 6849300.851 243.83242 424.66819 211.48358 0.0002972177 93.17908 330.009 0.020834 884.366 274.736 0.00253136795 0.00501996499 0.0000922560 0.0000615054 6964254.053 6435548.856 6818230.924 246.36763 411.57585 210.36506 0.0002977613 96.58624 331.007 0.020897 883.408 274.586 0.00251895638 0.00506257360 0.0000920534 0.0000622354 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0.00244040772 0.00531147893 0.0000905695 0.0000665427 6789717.627 6271910.506 6615474.731 264.56083 318.14537 203.06584 0.0003011123 117.01290 338.008 0.021339 877.147 273.663 0.00242673767 0.00535158855 0.0000902795 0.0000672427 6766871.004 6250800.545 6588744.802 267.20841 304.63316 202.10356 0.0003015221 119.43129 339.006 0.021402 876.320 273.549 0.00241290185 0.00539132923 0.0000899773 0.0000679374 6744524.515 6230234.205 6562555.447 269.86860 291.07936 201.16074 0.0003019147 121.72740 340.004 0.021465 875.510 273.440 0.00239890358 0.00543069810 0.0000896630 0.0000686268 6722676.001 6210208.660 6536906.223 272.54105 277.48630 200.23737 0.0003022898 123.90151 341.002 0.021528 874.716 273.336 0.00238474617 0.00546969234 0.0000893368 0.0000693106 6701323.314 6190721.132 6511796.630 275.22539 263.85623 199.33342 0.0003026474 125.95393 342.000 0.021591 873.939 273.235 0.00237043288 0.00550830925 0.0000889988 0.0000699886 6680464.323 6171768.886 6487226.110 277.92125 250.19142 198.44889 0.0003029874 127.88498 343.014 0.021655 873.167 273.138 0.00235573612 0.00554715003 0.0000886433 0.0000706713 6659777.570 6153061.142 6462816.931 280.67130 236.27642 197.57016 0.0003033146 129.72272 344.012 0.021718 872.423 273.047 0.00234111844 0.00558499831 0.0000882816 0.0000713370 6639907.390 6135179.847 6439331.218 283.38919 222.54830 196.72467 0.0003036186 131.41009 345.010 0.021781 871.696 272.960 0.00232635461 0.00562246147 0.0000879084 0.0000719963 6620524.578 6117825.889 6416382.610 286.11739 208.79207 195.89852 0.0003039048 132.97710 346.008 0.021844 870.986 272.878 0.00231144779 0.00565953706 0.0000875238 0.0000726491 6601627.075 6100996.733 6393970.374 288.85550 195.00990 195.09168 0.0003041729 134.42411 347.005 0.021907 870.293 272.800 0.00229640113 0.00569622270 0.0000871279 0.0000732950 6583212.847 6084689.901 6372093.745 291.60307 181.20391 194.30412 0.0003044229 135.75149 348.003 0.021970 869.616 272.726 0.00228121778 0.00573251604 0.0000867208 0.0000739340 6565279.885 6068902.965 6350751.930 294.35967 167.37622 193.53582 0.0003046547 136.95964 349.001 0.022033 868.957 272.657 0.00226590084 0.00576841477 0.0000863026 0.0000745657 6547826.203 6053633.554 6329944.115 297.12485 153.52894 192.78673 0.0003048683 138.04893 350.015 0.022097 868.304 272.592 0.00225020716 0.00580447694 0.0000858665 0.0000752000 6530584.218 6038649.296 6309351.938 299.94222 139.44393 192.04542 0.0003050665 139.03424 351.013 0.022160 867.678 272.531 0.00223463027 0.00583957336 0.0000854264 0.0000758166 6514090.790 6024416.158 6289618.041 302.72328 125.56344 191.33500 0.0003052431 139.88518 352.011 0.022223 867.069 272.476 0.00221892903 0.00587426846 0.0000849756 0.0000764256 6498070.833 6010693.723 6270415.582 305.51150 111.66957 190.64371 0.0003054012 140.61852 353.009 0.022286 866.477 272.424 0.00220310648 0.00590856008 0.0000845143 0.0000770266 6482522.483 5997479.840 6251743.690 308.30639 97.76436 189.97152 0.0003055409 141.23468 354.007 0.022349 865.902 272.377 0.00218716560 0.00594244608 0.0000840426 0.0000776194 6467443.911 5984772.417 6233601.492 311.10746 83.84981 189.31840 0.0003056620 141.73411 355.005 0.022412 865.344 272.335 0.00217110940 0.00597592433 0.0000835606 0.0000782040 6452833.321 5972569.416 6215988.114 313.91419 69.92793 188.68432 0.0003057646 142.11725 356.003 0.022475 864.802 272.297 0.00215494083 0.00600899273 0.0000830686 0.0000787801 6438688.955 5960868.859 6198902.688 316.72607 56.00071 188.06924 0.0003058486 142.38456 357.000 0.022538 864.278 272.263 0.00213866286 0.00604164917 0.0000825665 0.0000793475 6425009.091 5949668.820 6182344.350 319.54257 42.07014 187.47314 0.0003059140 142.53650 358.014 0.022602 863.763 272.233 0.00212201750 0.00607440000 0.0000820465 0.0000799149 6411585.975 5938801.582 6166062.009 322.40797 27.91703 186.88698 0.0003059613 142.57321 359.012 0.022665 863.273 272.208 0.00210552787 0.00610621964 0.0000815248 0.0000804643 6398837.418 5928604.910 6150563.640 325.23216 13.98566 186.32904 0.0003059891 142.49402 360.010 0.022728 862.800 272.188 0.00208893764 0.00613762102 0.0000809937 0.0000810046 6386548.415 5918903.300 6135589.836 328.05935 0.05684 185.78998 0.0003059983 142.30091 Engine speed (Hz) = 44.0000000000 Output power (W) = 6261.0650473823 Heat into heater (W) = 14434.6113748210 Heat to regenerator (W) = 2.5008494812 Heat removal from cooler (W) = 8174.7591305969 Approximate Pumping loss (W) = -5414.7348568598 Thermal efficiency (%) = 43.3753627639 The average engine pressure (Pa) = 8477522.0745181292 The exp space work per cycle (J) = 328.0396933712 The comp space work per cycle (J) = -185.7427604762 The net work per cycle (J) = 142.2969328951 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -956.7478235233 The expansion work for Vmin-to-Vmax (J) = 1099.0447564183 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 863.761 272.242 0.00209152216 0.00613059641 0.0000809982 0.0000810001 6401220.006 5913617.878 6140078.684 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.006 0.000062 863.305 272.227 0.00207473119 0.00616184220 0.0000804542 0.0000815346 6389388.233 5904484.913 6125465.121 2.83351 -14.02080 -0.52609 0.0003059888 -0.31869 2.011 0.000124 862.867 272.217 0.00205784281 0.00619266170 0.0000799010 0.0000820594 6378016.064 5895849.492 6111381.007 5.66894 -28.03607 -1.03312 0.0003059604 -0.75184 3.015 0.000186 862.446 272.212 0.00204085995 0.00622305270 0.0000793387 0.0000825744 6367101.967 5887709.998 6097825.618 8.50572 -42.04385 -1.52111 0.0003059131 -1.29893 4.003 0.000247 862.048 272.211 0.00202406162 0.00625253318 0.0000787767 0.0000830715 6356809.512 5880184.262 6085004.192 11.29749 -55.81646 -1.98268 0.0003058482 -1.94789 5.008 0.000309 861.661 272.214 0.00200689991 0.00628206750 0.0000781968 0.0000835667 6346799.824 5873024.054 6072495.704 14.13518 -69.80353 -2.43299 0.0003057635 -2.71946 6.012 0.000371 861.291 272.222 0.00198965237 0.00631116662 0.0000776083 0.0000840516 6337243.926 5866355.277 6060513.970 16.97242 -83.77721 -2.86433 0.0003056599 -3.60340 7.000 0.000432 860.943 272.234 0.00197260205 0.00633936944 0.0000770211 0.0000845186 6328283.733 5860272.309 6049239.000 19.76288 -97.51055 -3.27023 0.0003055397 -4.58220 8.005 0.000494 860.607 272.250 0.00195519275 0.00636759833 0.0000764161 0.0000849828 6319624.209 5854574.381 6038300.585 22.59742 -111.45187 -3.66401 0.0003053989 -5.68742 9.009 0.000556 860.288 272.272 0.00193770618 0.00639538506 0.0000758031 0.0000854363 6311414.664 5849363.867 6027887.302 25.42966 -125.37394 -4.03889 0.0003052394 -6.90336 10.013 0.000618 859.986 272.297 0.00192014522 0.00642272721 0.0000751822 0.0000858790 6303653.934 5844639.523 6017998.699 28.25895 -139.27478 -4.39488 0.0003050612 -8.22946 11.002 0.000679 859.706 272.327 0.00190279766 0.00644919209 0.0000745639 0.0000863038 6296455.318 5840464.691 6008781.253 31.03911 -152.92878 -4.72671 0.0003048677 -9.64112 12.006 0.000741 859.438 272.361 0.00188509755 0.00647564492 0.0000739279 0.0000867247 6289581.765 5836701.358 5999932.408 33.86064 -166.78166 -5.04527 0.0003046526 -11.18406 13.010 0.000803 859.188 272.400 0.00186733155 0.00650164569 0.0000732848 0.0000871343 6283153.910 5833420.772 5991607.203 36.67728 -180.60740 -5.34497 0.0003044191 -12.83544 14.015 0.000865 858.954 272.443 0.00184950250 0.00652719179 0.0000726345 0.0000875326 6277170.835 5830621.877 5983805.403 39.48836 -194.40401 -5.62584 0.0003041671 -14.59468 15.003 0.000926 858.741 272.490 0.00183190226 0.00655187952 0.0000719880 0.0000879133 6271717.509 5828337.240 5976640.080 42.24801 -207.94773 -5.88379 0.0003039013 -16.43024 16.007 0.000988 858.542 272.543 0.00181395656 0.00657651563 0.0000713243 0.0000882887 6266614.362 5826490.997 5969876.196 45.04604 -221.68062 -6.12729 0.0003036130 -18.40170 17.012 0.001050 858.360 272.599 0.00179595631 0.00660068889 0.0000706541 0.0000886524 6261953.656 5825123.541 5963635.390 47.83646 -235.37838 -6.35196 0.0003033065 -20.47923 18.000 0.001111 858.197 272.659 0.00177819590 0.00662401778 0.0000699886 0.0000889988 6257799.292 5824244.536 5958005.759 50.57378 -248.81896 -6.55463 0.0003029874 -22.62619 19.004 0.001173 858.049 272.725 0.00176009585 0.00664726425 0.0000693061 0.0000893390 6254014.503 5823824.313 5952802.819 53.34704 -262.44101 -6.74193 0.0003026451 -24.91236 20.009 0.001235 857.918 272.795 0.00174194975 0.00667003909 0.0000686178 0.0000896672 6250670.461 5823880.303 5948123.248 56.11059 -276.02185 -6.91040 0.0003022850 -27.30278 21.013 0.001297 857.805 272.869 0.00172376045 0.00669233920 0.0000679239 0.0000899833 6247766.755 5824411.707 5943967.295 58.86372 -289.55938 -7.06001 0.0003019072 -29.79681 22.001 0.001358 857.709 272.946 0.00170582516 0.00671381322 0.0000672358 0.0000902824 6245339.303 5825397.763 5940389.708 61.56155 -302.83430 -7.18880 0.0003015182 -32.35113 23.006 0.001420 857.630 273.030 0.00168755865 0.00673516199 0.0000665313 0.0000905742 6243308.273 5826870.062 5937273.595 64.29182 -316.27977 -7.30098 0.0003011054 -35.04886 24.010 0.001482 857.567 273.117 0.00166925752 0.00675602624 0.0000658217 0.0000908535 6241716.848 5828815.538 5934682.323 67.00948 -329.67567 -7.39427 0.0003006753 -37.84830 25.015 0.001544 857.522 273.209 0.00165092464 0.00677640252 0.0000651074 0.0000911204 6240564.959 5831233.480 5932616.476 69.71376 -343.01987 -7.46864 0.0003002279 -40.74882 26.003 0.001605 857.494 273.304 0.00163285929 0.00679597047 0.0000644002 0.0000913708 6239860.632 5834072.844 5931097.383 72.36066 -356.09629 -7.52333 0.0002997709 -43.70056 27.007 0.001667 857.483 273.404 0.00161447202 0.00681536803 0.0000636770 0.0000916127 6239580.895 5837426.046 5930075.994 75.03618 -369.33152 -7.56010 0.0002992897 -46.79965 28.012 0.001729 857.489 273.510 0.00159606169 0.00683426668 0.0000629497 0.0000918418 6239741.059 5841249.662 5929582.319 77.69608 -382.50855 -7.57787 0.0002987916 -49.99784 29.016 0.001791 857.513 273.619 0.00157763121 0.00685266254 0.0000622185 0.0000920582 6240341.447 5845543.013 5929617.318 80.33955 -395.62516 -7.57661 0.0002982768 -53.29445 30.004 0.001852 857.553 273.731 0.00155948120 0.00687026712 0.0000614955 0.0000922586 6241362.202 5850224.886 5930168.740 82.92362 -408.46907 -7.55676 0.0002977541 -56.63330 31.009 0.001914 857.610 273.849 0.00154101949 0.00688765356 0.0000607572 0.0000924494 6242837.327 5855448.103 5931255.818 85.53221 -421.45914 -7.51762 0.0002972067 -60.12318 32.013 0.001976 857.685 273.972 0.00152254646 0.00690452493 0.0000600157 0.0000926273 6244754.299 5861138.988 5932875.065 88.12204 -434.38202 -7.45933 0.0002966430 -63.70943 33.001 0.002037 857.776 274.096 0.00150436324 0.00692061727 0.0000592832 0.0000927896 6247072.322 5867193.796 5934988.910 90.65101 -447.02863 -7.38323 0.0002960728 -67.33124 34.006 0.002099 857.885 274.227 0.00148587662 0.00693645375 0.0000585360 0.0000929416 6249868.285 5873810.303 5937668.147 93.20123 -459.81129 -7.28678 0.0002954776 -71.10664 35.010 0.002161 858.012 274.363 0.00146738765 0.00695176174 0.0000577862 0.0000930805 6253108.790 5880892.229 5940884.059 95.73027 -472.51974 -7.17101 0.0002948666 -74.97633 36.014 0.002223 858.156 274.502 0.00144889937 0.00696653647 0.0000570341 0.0000932062 6256795.002 5888438.746 5944638.398 98.23732 -485.15156 -7.03585 0.0002942402 -78.93958 37.003 0.002284 858.315 274.644 0.00143071293 0.00698054767 0.0000562920 0.0000933169 6260858.009 5896316.106 5948859.484 100.68165 -497.50248 -6.88389 0.0002936090 -82.92951 38.007 0.002346 858.493 274.792 0.00141223510 0.00699424973 0.0000555360 0.0000934164 6265432.458 5904781.658 5953687.706 103.14260 -509.97500 -6.71008 0.0002929524 -87.07622 39.011 0.002408 858.689 274.944 0.00139376714 0.00700740337 0.0000547783 0.0000935026 6270456.953 5913708.995 5959060.386 105.57905 -522.36350 -6.51666 0.0002922810 -91.31431 40.016 0.002470 858.903 275.101 0.00137531220 0.00702000317 0.0000540193 0.0000935755 6275933.263 5923097.027 5964979.834 107.99016 -534.66542 -6.30356 0.0002915948 -95.64303 41.004 0.002531 859.130 275.259 0.00135717066 0.00703185382 0.0000532713 0.0000936342 6281764.063 5932782.099 5971339.807 110.33683 -546.68192 -6.07460 0.0002909056 -99.98964 42.008 0.002593 859.379 275.424 0.00133875085 0.00704333818 0.0000525102 0.0000936807 6288142.610 5943080.476 5978351.420 112.69513 -558.80438 -5.82218 0.0002901909 -104.49591 43.013 0.002655 859.645 275.593 0.00132035351 0.00705425149 0.0000517484 0.0000937138 6294979.277 5953835.668 5985917.645 115.02552 -570.83242 -5.54980 0.0002894622 -109.09051 44.001 0.002716 859.924 275.763 0.00130227795 0.00706442547 0.0000509984 0.0000937334 6302155.190 5964861.687 5993905.994 117.29023 -582.57168 -5.26222 0.0002887318 -113.69647 45.005 0.002778 860.225 275.940 0.00128393473 0.00707418741 0.0000502359 0.0000937400 6309908.291 5976518.327 6002581.518 119.56263 -594.40432 -4.94990 0.0002879759 -118.46402 46.010 0.002840 860.544 276.121 0.00126562367 0.00708335919 0.0000494733 0.0000937332 6318127.584 5988626.566 6011821.157 121.80448 -606.13430 -4.61727 0.0002872066 -123.31755 47.014 0.002902 860.881 276.306 0.00124734807 0.00709193395 0.0000487111 0.0000937131 6326816.232 6001184.240 6021628.537 124.01487 -617.75875 -4.26421 0.0002864242 -128.25625 48.002 0.002963 861.230 276.492 0.00122940509 0.00709978077 0.0000479615 0.0000936803 6335826.119 6013975.626 6031835.582 126.15802 -629.08988 -3.89675 0.0002856418 -133.19763 49.007 0.003025 861.603 276.685 0.00121120974 0.00710714953 0.0000472004 0.0000936337 6345456.299 6027417.401 6042781.065 128.30329 -640.49625 -3.50271 0.0002848341 -138.30286 50.011 0.003087 861.994 276.882 0.00119305990 0.00711389886 0.0000464402 0.0000935737 6355566.896 6041300.336 6054306.779 130.41434 -651.78818 -3.08779 0.0002840139 -143.49079 51.016 0.003149 862.404 277.083 0.00117495901 0.00712002047 0.0000456812 0.0000935005 6366162.255 6055620.838 6066417.608 132.49022 -662.96251 -2.65180 0.0002831817 -148.76056 52.004 0.003210 862.824 277.284 0.00115720123 0.00712542224 0.0000449358 0.0000934154 6377064.415 6070133.360 6078909.322 134.49735 -673.83872 -2.20210 0.0002823512 -154.02436 53.008 0.003272 863.270 277.492 0.00113920780 0.00713027202 0.0000441798 0.0000933158 6388635.933 6085308.900 6092197.312 136.50058 -684.77009 -1.72373 0.0002814956 -159.45392 54.013 0.003334 863.735 277.703 0.00112127386 0.00713446597 0.0000434256 0.0000932029 6400707.754 6100907.197 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0.00714506819 0.0000389765 0.0000922565 6483590.770 6202171.183 6202107.382 149.33505 -757.16234 2.23153 0.0002752330 -199.43409 61.011 0.003766 867.509 279.268 0.00099828217 0.00714447305 0.0000382417 0.0000920526 6499380.196 6220665.767 6220313.616 151.00827 -766.98522 2.87866 0.0002742943 -205.46910 62.015 0.003828 868.128 279.512 0.00098095153 0.00714334115 0.0000375106 0.0000918358 6515672.301 6239823.412 6238978.911 152.64325 -776.68433 3.53510 0.0002733464 -211.57580 63.004 0.003889 868.754 279.761 0.00096398070 0.00714169490 0.0000367951 0.0000916101 6532159.001 6259316.175 6257800.437 154.21408 -786.10517 4.19053 0.0002724052 -217.65300 64.008 0.003951 869.405 280.021 0.00094681414 0.00713947345 0.0000360720 0.0000913681 6549356.094 6279782.704 6277401.376 155.77175 -795.55515 4.86685 0.0002714401 -223.89890 65.012 0.004013 870.072 280.289 0.00092973253 0.00713669316 0.0000353532 0.0000911134 6566978.662 6300909.395 6297481.394 157.28964 -804.87690 5.55377 0.0002704666 -230.21340 66.001 0.004074 870.741 280.561 0.00091301180 0.00713340669 0.0000346505 0.0000908506 6584719.372 6322340.782 6317708.320 158.74366 -813.92095 6.24033 0.0002695011 -236.49191 67.005 0.004136 871.435 280.844 0.00089610673 0.00712950073 0.0000339411 0.0000905711 6603150.619 6344781.084 6338747.894 160.18087 -822.98132 6.94938 0.0002685121 -242.93920 68.009 0.004198 872.143 281.135 0.00087929560 0.00712501908 0.0000332366 0.0000902792 6621978.387 6367886.120 6360274.513 161.57650 -831.90594 7.67014 0.0002675158 -249.45174 69.014 0.004260 872.863 281.434 0.00086258219 0.00711995625 0.0000325374 0.0000899750 6641198.414 6391657.894 6382289.898 162.92989 -840.69187 8.40296 0.0002665123 -256.02838 70.002 0.004321 873.585 281.735 0.00084623759 0.00711440263 0.0000318547 0.0000896637 6660488.748 6415699.036 6404428.613 164.21962 -849.19780 9.13611 0.0002655184 -262.56038 71.006 0.004383 874.332 282.048 0.00082973001 0.00710817079 0.0000311665 0.0000893354 6680480.549 6440800.026 6427417.755 165.48734 -857.69949 9.89400 0.0002645019 -269.26072 72.011 0.004445 875.092 282.370 0.00081333256 0.00710134162 0.0000304841 0.0000889950 6700860.346 6466574.531 6450899.454 166.71091 -866.05314 10.66513 0.0002634791 -276.02164 73.015 0.004507 875.864 282.698 0.00079704963 0.00709390974 0.0000298078 0.0000886428 6721628.493 6493025.031 6474874.700 167.88970 -874.25545 11.44990 0.0002624506 -282.84193 74.003 0.004568 876.636 283.029 0.00078114547 0.00708600429 0.0000291485 0.0000882847 6742441.551 6519711.121 6498945.788 169.00518 -882.17454 12.23576 0.0002614332 -289.60896 75.008 0.004630 877.434 283.372 0.00076510316 0.00707736075 0.0000284848 0.0000879091 6763983.232 6547510.349 6523902.744 170.09331 -890.06673 13.04890 0.0002603940 -296.54339 76.012 0.004692 878.244 283.723 0.00074918901 0.00706809842 0.0000278279 0.0000875220 6785917.142 6575993.406 6549355.710 171.13483 -897.79752 13.87702 0.0002593499 -303.53349 77.000 0.004753 879.054 284.075 0.00073366117 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0.00214107296 0.00603474915 0.0000825662 0.0000793479 6439306.253 5943869.961 6186883.576 317.46266 41.89625 189.71494 0.0003059140 138.16246 358.006 0.022099 864.716 272.282 0.00212459052 0.00606725539 0.0000820510 0.0000799101 6426091.885 5933240.432 6170683.798 320.28703 27.87081 189.13174 0.0003059610 138.18872 359.010 0.022161 864.226 272.259 0.00210800188 0.00609934186 0.0000815260 0.0000804631 6413341.977 5923113.621 6155015.777 323.11502 13.84495 188.56769 0.0003059891 138.09902 360.014 0.022223 863.754 272.240 0.00209130999 0.00613100637 0.0000809914 0.0000810069 6401054.859 5913487.739 6139878.720 325.94607 -0.17933 188.02276 0.0003059983 137.89385 Engine speed (Hz) = 45.0000000000 Output power (W) = 6205.0319227286 Heat into heater (W) = 14667.5730966920 Heat to regenerator (W) = -8.0698567672 Heat removal from cooler (W) = 8461.0242295783 Approximate Pumping loss (W) = -5763.4862870558 Thermal efficiency (%) = 42.3044213369 The average engine pressure (Pa) = 8479556.1764443722 The exp space work per cycle (J) = 325.8192140283 The comp space work per cycle (J) = -187.9296157454 The net work per cycle (J) = 137.8895982829 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -958.9869029149 The expansion work for Vmin-to-Vmax (J) = 1096.8765011978 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 864.729 272.293 0.00209390125 0.00612391035 0.0000809949 0.0000810034 6415946.300 5908052.361 6144432.964 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000060 864.282 272.281 0.00207729636 0.00615488060 0.0000804568 0.0000815321 6404324.133 5899155.301 6129909.836 2.78841 -13.87552 -0.52283 0.0003059889 -0.32617 2.012 0.000121 863.845 272.272 0.00206031567 0.00618594109 0.0000799004 0.0000820600 6392966.490 5890608.544 6115675.412 5.62527 -27.97778 -1.03527 0.0003059604 -0.77265 3.005 0.000181 863.432 272.269 0.00204351877 0.00621607124 0.0000793442 0.0000825695 6382244.204 5882690.723 6102195.725 8.41699 -41.84245 -1.52054 0.0003059137 -1.32431 4.015 0.000242 863.028 272.269 0.00202634871 0.00624627312 0.0000787697 0.0000830776 6371798.334 5875136.344 6089020.794 11.25605 -55.92971 -1.99484 0.0003058473 -1.99901 5.009 0.000302 862.649 272.275 0.00200937127 0.00627555426 0.0000781960 0.0000835674 6361969.914 5868191.614 6076581.974 14.04877 -69.77573 -2.44264 0.0003057633 -2.77409 6.003 0.000362 862.285 272.284 0.00199230854 0.00630441103 0.0000776139 0.0000840471 6352582.622 5861727.264 6064658.414 16.84111 -83.60962 -2.87188 0.0003056610 -3.65919 7.013 0.000423 861.933 272.298 0.00197487687 0.00633331137 0.0000770136 0.0000845245 6343489.720 5855646.237 6053063.792 19.67898 -97.65965 -3.28929 0.0003055381 -4.67126 8.006 0.000483 861.604 272.316 0.00195765063 0.00636130539 0.0000764150 0.0000849836 6334988.038 5850146.592 6042177.763 22.46873 -111.46324 -3.68119 0.0003053986 -5.77659 9.000 0.000543 861.291 272.339 0.00194034749 0.00638886810 0.0000758086 0.0000854323 6326923.625 5845123.400 6031805.515 25.25629 -125.24891 -4.05459 0.0003052409 -6.99032 10.010 0.000604 860.990 272.366 0.00192268003 0.00641644557 0.0000751842 0.0000858776 6319171.858 5840503.678 6021786.678 28.08742 -139.24399 -4.41527 0.0003050618 -8.33484 11.004 0.000664 860.710 272.398 0.00190523029 0.00644313118 0.0000745625 0.0000863047 6311985.765 5836437.722 6012449.379 30.86868 -152.98769 -4.75141 0.0003048672 -9.76551 12.014 0.000725 860.444 272.434 0.00188741951 0.00646981186 0.0000739229 0.0000867279 6305124.715 5832788.848 6003482.062 33.69210 -166.93611 -5.07423 0.0003046508 -11.32944 13.008 0.000785 860.198 272.474 0.00186983446 0.00649561030 0.0000732866 0.0000871331 6298812.650 5829675.612 5995178.483 36.46449 -180.62997 -5.37316 0.0003044197 -12.97479 14.001 0.000845 859.969 272.519 0.00185218647 0.00652096496 0.0000726434 0.0000875272 6292932.550 5827033.234 5987387.173 39.23150 -194.29619 -5.65365 0.0003041706 -14.72572 15.011 0.000906 859.753 272.569 0.00183418269 0.00654628455 0.0000719826 0.0000879164 6287396.375 5824828.500 5979991.017 42.03845 -208.15984 -5.91991 0.0003038990 -16.61350 16.005 0.000966 859.557 272.622 0.00181641622 0.00657073619 0.0000713259 0.0000882878 6282384.824 5823132.739 5973232.439 44.79265 -221.76438 -6.16322 0.0003036137 -18.57564 17.015 0.001027 859.376 272.681 0.00179829771 0.00659513205 0.0000706519 0.0000886536 6277730.085 5821888.487 5966886.143 47.58520 -235.56126 -6.39169 0.0003033055 -20.67692 18.009 0.001087 859.214 272.743 0.00178042403 0.00661866941 0.0000699827 0.0000890018 6273584.096 5821135.654 5961160.266 50.32386 -249.09610 -6.59782 0.0003029845 -22.84787 19.002 0.001147 859.068 272.810 0.00176250137 0.00664174907 0.0000693076 0.0000893383 6269866.383 5820849.106 5955946.632 53.05379 -262.59337 -6.78551 0.0003026459 -25.12147 20.012 0.001208 858.938 272.882 0.00174423266 0.00666474111 0.0000686153 0.0000896684 6266525.214 5821034.955 5951171.432 55.81957 -276.27501 -6.95742 0.0003022837 -27.53757 21.006 0.001268 858.826 272.957 0.00172621970 0.00668688858 0.0000679289 0.0000899811 6263669.691 5821686.314 5946991.508 58.52981 -289.69039 -7.10789 0.0003019099 -30.01633 22.016 0.001329 858.729 273.038 0.00170786496 0.00670892649 0.0000672255 0.0000902868 6261204.256 5822824.110 5943267.897 61.27411 -303.28458 -7.24194 0.0003015122 -32.63976 23.010 0.001389 858.651 273.122 0.00168977307 0.00673012899 0.0000665285 0.0000905753 6259209.461 5824410.291 5940123.123 63.96179 -316.60978 -7.35515 0.0003011038 -35.32120 24.003 0.001449 858.590 273.210 0.00167164627 0.00675085795 0.0000658266 0.0000908517 6257641.141 5826458.928 5937492.385 66.63721 -329.88715 -7.44986 0.0003006783 -38.10219 25.014 0.001510 858.544 273.304 0.00165318449 0.00677144342 0.0000651082 0.0000911201 6256483.771 5829015.064 5935345.381 69.34390 -343.33460 -7.52715 0.0003002283 -41.03096 26.007 0.001570 858.517 273.401 0.00163499588 0.00679120691 0.0000643971 0.0000913718 6255775.286 5831994.191 5933753.203 71.99239 -356.50911 -7.58447 0.0002997689 -44.01081 27.001 0.001630 858.505 273.503 0.00161678091 0.00681048624 0.0000636817 0.0000916111 6255493.242 5835433.680 5932677.148 74.62641 -369.62940 -7.62321 0.0002992928 -47.08831 28.011 0.001691 858.511 273.610 0.00159823826 0.00682958675 0.0000629502 0.0000918417 6255643.848 5839401.727 5932113.161 77.28873 -382.91057 -7.64351 0.0002987919 -50.31652 29.004 0.001751 858.534 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0.00126715694 0.00708029977 0.0000494720 0.0000937332 6333201.188 5988845.925 6013364.074 121.18813 -607.13402 -4.71848 0.0002872052 -123.85905 47.005 0.002838 861.859 276.435 0.00124904070 0.00708886271 0.0000487179 0.0000937134 6341711.200 6001365.196 6023022.288 123.36362 -618.66611 -4.37078 0.0002864313 -128.75564 48.015 0.002899 862.213 276.627 0.00123066130 0.00709696019 0.0000479517 0.0000936798 6350833.754 6014539.118 6033417.120 125.54294 -630.28139 -3.99657 0.0002856315 -133.81841 49.009 0.002959 862.578 276.819 0.00121262471 0.00710431916 0.0000471988 0.0000936336 6360273.497 6027932.848 6044212.010 127.65370 -641.59604 -3.60795 0.0002848323 -138.88054 50.003 0.003019 862.960 277.015 0.00119463263 0.00711106950 0.0000464468 0.0000935743 6370180.153 6041755.468 6055577.204 129.73100 -652.79834 -3.19881 0.0002840211 -144.02351 51.013 0.003080 863.368 277.218 0.00117638981 0.00711729991 0.0000456834 0.0000935007 6380735.066 6056244.283 6067721.531 131.80764 -664.06899 -2.76161 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167.08644 198.09585 0.0003046576 128.34164 349.010 0.021075 870.784 272.723 0.00227040473 0.00575399655 0.0000862989 0.0000745712 6574920.246 6039519.468 6339967.319 293.12723 153.31168 197.34598 0.0003048701 129.40484 350.004 0.021135 870.154 272.662 0.00225506221 0.00578942163 0.0000858716 0.0000751928 6558236.265 6025117.895 6319664.217 295.85933 139.51756 196.61506 0.0003050643 130.35052 351.014 0.021196 869.530 272.605 0.00223933193 0.00582503578 0.0000854261 0.0000758171 6541752.546 6010996.528 6299561.978 298.64472 125.47578 195.89138 0.0003052432 131.19189 352.007 0.021256 868.932 272.552 0.00222373267 0.00585966906 0.0000849773 0.0000764234 6526007.561 5997616.133 6280318.925 301.39160 111.64877 195.19863 0.0003054007 131.90180 353.001 0.021316 868.352 272.505 0.00220801058 0.00589390638 0.0000845180 0.0000770218 6510725.280 5984738.852 6261600.362 304.14509 97.80848 194.52477 0.0003055399 132.49543 354.011 0.021377 867.778 272.461 0.00219190359 0.00592830614 0.0000840405 0.0000776220 6495660.688 5972160.565 6243106.703 306.95077 83.72597 193.85899 0.0003056625 132.98020 355.005 0.021437 867.231 272.422 0.00217594276 0.00596173828 0.0000835606 0.0000782040 6481305.827 5960291.624 6225443.514 309.71613 69.86495 193.22312 0.0003057646 133.34067 356.015 0.021498 866.692 272.387 0.00215959910 0.00599531498 0.0000830625 0.0000787871 6467180.320 5948734.362 6208021.222 312.53284 55.76544 192.59592 0.0003058495 133.58932 357.008 0.021558 866.178 272.356 0.00214341140 0.00602793318 0.0000825625 0.0000793519 6453745.496 5937865.773 6191410.274 315.30804 41.89169 191.99792 0.0003059145 133.71846 358.002 0.021618 865.681 272.331 0.00212711558 0.00606014455 0.0000820528 0.0000799081 6440764.246 5927490.408 6175319.952 318.08733 28.01459 191.41867 0.0003059609 133.73358 359.012 0.021679 865.193 272.309 0.00211044027 0.00609247349 0.0000815248 0.0000804643 6428029.865 5917445.898 6159494.405 320.91660 13.90475 190.84895 0.0003059891 133.63256 360.006 0.021739 864.729 272.292 0.00209393511 0.00612385788 0.0000809960 0.0000810023 6415958.195 5908059.813 6144451.767 323.70254 0.02677 190.30742 0.0003059983 133.41921 Engine speed (Hz) = 46.0000000000 Output power (W) = 6137.0759653288 Heat into heater (W) = 14890.3167775964 Heat to regenerator (W) = 1.2313441313 Heat removal from cooler (W) = 8754.1411694079 Approximate Pumping loss (W) = -6125.7086171804 Thermal efficiency (%) = 41.2152142697 The average engine pressure (Pa) = 8481079.9159812108 The exp space work per cycle (J) = 323.6666933948 The comp space work per cycle (J) = -190.2519984963 The net work per cycle (J) = 133.4146948985 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -961.2754258952 The expansion work for Vmin-to-Vmax (J) = 1094.6901207936 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 865.714 272.345 0.00209637613 0.00611698500 0.0000809935 0.0000810048 6430953.322 5902388.396 6148932.294 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.009 0.000060 865.269 272.334 0.00207969901 0.00614816007 0.0000804529 0.0000815359 6419365.646 5893590.940 6134275.136 2.78654 -13.94590 -0.52766 0.0003059888 -0.33933 2.007 0.000119 864.841 272.328 0.00206292301 0.00617891747 0.0000799030 0.0000820575 6408226.366 5885283.924 6120140.187 5.57505 -27.88837 -1.03652 0.0003059605 -0.79184 3.005 0.000178 864.429 272.326 0.00204605099 0.00620925499 0.0000793442 0.0000825695 6397533.888 5877465.760 6106526.816 8.36497 -41.82543 -1.52660 0.0003059137 -1.35702 4.004 0.000237 864.034 272.328 0.00202908581 0.00623917034 0.0000787765 0.0000830717 6387286.663 5870134.918 6093434.421 11.15572 -55.75515 -1.99792 0.0003058482 -2.03437 5.002 0.000296 863.656 272.335 0.00201203033 0.00626866125 0.0000782002 0.0000835638 6377483.191 5863289.920 6080862.430 13.94674 -69.67556 -2.45052 0.0003057640 -2.82335 6.000 0.000355 863.294 272.346 0.00199488739 0.00629772539 0.0000776153 0.0000840459 6368122.022 5856929.344 6068810.304 16.73741 -83.58473 -2.88439 0.0003056613 -3.72344 7.015 0.000415 862.943 272.362 0.00197736713 0.00632684206 0.0000770121 0.0000845256 6359054.358 5850956.356 6057086.546 19.57443 -97.71611 -3.30645 0.0003055377 -4.75218 8.014 0.000474 862.615 272.382 0.00196005642 0.00635503828 0.0000764107 0.0000849869 6350581.088 5845568.718 6046081.482 22.36261 -111.59665 -3.70263 0.0003053976 -5.87473 9.012 0.000533 862.304 272.407 0.00194266681 0.00638280057 0.0000758013 0.0000854376 6342546.060 5840661.524 6035594.897 25.14863 -125.46006 -4.08015 0.0003052389 -7.10676 10.010 0.000592 862.009 272.436 0.00192520111 0.00641012645 0.0000751842 0.0000858776 6334948.037 5836233.556 6025626.421 27.93186 -139.30437 -4.43901 0.0003050618 -8.44770 11.008 0.000651 861.731 272.469 0.00190766216 0.00643701344 0.0000745596 0.0000863067 6327785.840 5832283.644 6016175.731 30.71169 -153.12762 -4.77924 0.0003048663 -9.89700 12.007 0.000710 861.470 272.507 0.00189005276 0.00646345897 0.0000739275 0.0000867250 6321058.350 5828810.663 6007242.556 33.48746 -166.92784 -5.10083 0.0003046525 -11.45409 13.005 0.000769 861.225 272.549 0.00187237575 0.00648946044 0.0000732882 0.0000871321 6314764.506 5825813.533 5998826.679 36.25855 -180.70305 -5.40380 0.0003044204 -13.11839 14.003 0.000828 860.997 272.595 0.00185463394 0.00651501519 0.0000726420 0.0000875281 6308903.313 5823291.217 5990927.940 39.02429 -194.45126 -5.68816 0.0003041701 -14.88934 15.002 0.000887 860.785 272.646 0.00183683015 0.00654012050 0.0000719889 0.0000879127 6303473.839 5821242.718 5983546.238 41.78403 -208.17049 -5.95390 0.0003039017 -16.76634 16.017 0.000947 860.587 272.703 0.00181866395 0.00656518751 0.0000713181 0.0000882921 6298394.204 5819644.441 5976569.640 44.58370 -222.09044 -6.20506 0.0003036102 -18.78332 17.015 0.001006 860.410 272.763 0.00180074375 0.00658937776 0.0000706519 0.0000886536 6293832.923 5818548.727 5970230.728 47.32929 -235.74509 -6.43326 0.0003033055 -20.87242 18.013 0.001065 860.248 272.827 0.00178277010 0.00661310995 0.0000699795 0.0000890034 6289700.964 5817924.048 5964408.939 50.06685 -249.36466 -6.64284 0.0003029829 -23.06579 19.012 0.001124 860.104 272.895 0.00176474584 0.00663638109 0.0000693012 0.0000893414 6285997.676 5817769.546 5959104.442 52.79567 -262.94711 -6.83380 0.0003026426 -25.36280 20.010 0.001183 859.976 272.968 0.00174667381 0.00665918809 0.0000686171 0.0000896676 6282722.486 5818084.396 5954317.475 55.51508 -276.49040 -7.00613 0.0003022846 -27.76285 21.008 0.001242 859.865 273.046 0.00172855685 0.00668152779 0.0000679274 0.0000899818 6279874.899 5818867.796 5950048.356 58.22436 -289.99243 -7.15982 0.0003019091 -30.26532 22.006 0.001301 859.770 273.127 0.00171039783 0.00670339695 0.0000672323 0.0000902839 6277454.501 5820118.968 5946297.481 60.92280 -303.45114 -7.29485 0.0003015162 -32.86957 23.005 0.001360 859.692 273.213 0.00169219960 0.00672479222 0.0000665320 0.0000905738 6275460.965 5821837.155 5943065.326 63.60969 -316.86440 -7.41121 0.0003011059 -35.57499 24.003 0.001419 859.631 273.304 0.00167396504 0.00674571018 0.0000658268 0.0000908516 6273894.049 5824021.615 5940352.455 66.28429 -330.23010 -7.50887 0.0003006784 -38.38093 25.001 0.001478 859.586 273.399 0.00165569703 0.00676614731 0.0000651169 0.0000911170 6272753.602 5826671.618 5938159.517 68.94588 -343.54609 -7.58782 0.0003002339 -41.28676 26.016 0.001538 859.558 273.500 0.00163708809 0.00678643394 0.0000643904 0.0000913741 6272031.143 5829843.241 5936463.402 71.63847 -357.03456 -7.64888 0.0002997645 -44.34360 27.015 0.001597 859.547 273.603 0.00161876145 0.00680589008 0.0000636715 0.0000916144 6271750.796 5833430.037 5935321.495 74.27156 -370.24366 -7.68999 0.0002992860 -47.44891 28.013 0.001656 859.552 273.711 0.00160041015 0.00682485411 0.0000629487 0.0000918422 6271897.052 5837480.212 5934702.044 76.88938 -383.39645 -7.71229 0.0002987908 -50.65212 29.011 0.001715 859.575 273.823 0.00158203711 0.00684332206 0.0000622219 0.0000920573 6272470.164 5841993.048 5934606.085 79.49117 -396.49069 -7.71574 0.0002982792 -53.95257 30.010 0.001774 859.613 273.940 0.00156364529 0.00686128987 0.0000614916 0.0000922597 6273470.493 5846967.812 5935034.755 82.07617 -409.52410 -7.70031 0.0002977512 -57.34958 31.008 0.001833 859.669 274.060 0.00154523766 0.00687875332 0.0000607578 0.0000924493 6274898.514 5852403.758 5935989.299 84.64360 -422.49442 -7.66595 0.0002972071 -60.84249 32.006 0.001892 859.741 274.186 0.00152681721 0.00689570810 0.0000600208 0.0000926262 6276754.824 5858300.118 5937471.074 87.19267 -435.39931 -7.61260 0.0002966469 -64.43060 33.004 0.001951 859.831 274.315 0.00150838693 0.00691214974 0.0000592808 0.0000927901 6279040.143 5864656.095 5939481.552 89.72261 -448.23643 -7.54023 0.0002960710 -68.11322 34.003 0.002010 859.936 274.448 0.00148994985 0.00692807365 0.0000585381 0.0000929412 6281755.321 5871470.855 5942022.324 92.23261 -461.00340 -7.44876 0.0002954793 -71.88965 35.001 0.002069 860.059 274.586 0.00147150900 0.00694347509 0.0000577929 0.0000930793 6284901.343 5878743.523 5945095.107 94.72187 -473.69782 -7.33814 0.0002948722 -75.75919 36.016 0.002129 860.201 274.731 0.00145275490 0.00695859670 0.0000570327 0.0000932064 6288543.710 5886608.114 5948767.486 97.23121 -486.53048 -7.20593 0.0002942391 -79.78906 37.014 0.002188 860.357 274.877 0.00143431581 0.00697292932 0.0000562831 0.0000933182 6292562.306 5894801.469 5952919.057 99.67616 -499.07111 -7.05648 0.0002936013 -83.84421 38.013 0.002247 860.531 275.027 0.00141588225 0.00698672425 0.0000555317 0.0000934169 6297015.605 5903449.734 5957608.620 102.09791 -511.53172 -6.88765 0.0002929486 -87.99029 39.011 0.002306 860.721 275.182 0.00139745737 0.00699997613 0.0000547786 0.0000935026 6301905.204 5912551.759 5962838.443 104.49562 -523.90976 -6.69938 0.0002922812 -92.22657 40.009 0.002365 860.928 275.341 0.00137904430 0.00701267939 0.0000540242 0.0000935751 6307232.870 5922106.303 5968610.951 106.86845 -536.20264 -6.49157 0.0002915993 -96.55230 41.008 0.002424 861.153 275.504 0.00136064622 0.00702482832 0.0000532686 0.0000936344 6313000.550 5932112.011 5974928.729 109.21555 -548.40774 -6.26413 0.0002909031 -100.96674 42.006 0.002483 861.394 275.671 0.00134226634 0.00703641697 0.0000525121 0.0000936806 6319210.382 5942567.402 5981794.535 111.53608 -560.52240 -6.01696 0.0002901927 -105.46912 43.004 0.002542 861.652 275.842 0.00132390789 0.00704743922 0.0000517549 0.0000937136 6325864.704 5953470.846 5989211.311 113.82916 -572.54389 -5.74996 0.0002894685 -110.05868 44.002 0.002601 861.928 276.017 0.00130557411 0.00705788871 0.0000509973 0.0000937334 6332966.065 5964820.550 5997182.192 116.09393 -584.46945 -5.46300 0.0002887307 -114.73465 45.001 0.002660 862.220 276.195 0.00128726829 0.00706775884 0.0000502394 0.0000937400 6340517.241 5976614.525 6005710.524 118.32950 -596.29629 -5.15598 0.0002879794 -119.49623 46.016 0.002720 862.536 276.382 0.00126868429 0.00707719503 0.0000494687 0.0000937332 6348660.834 5989061.747 6014958.796 120.57211 -608.21936 -4.82305 0.0002872019 -124.42551 47.014 0.002779 862.864 276.568 0.00125044496 0.00708587551 0.0000487111 0.0000937131 6357128.714 6001744.802 6024622.613 122.74608 -619.83829 -4.47515 0.0002864242 -129.35736 48.012 0.002838 863.209 276.759 0.00123224368 0.00709395511 0.0000479539 0.0000936799 6366056.324 6014864.632 6034855.453 124.88815 -631.34966 -4.10677 0.0002856338 -134.37240 49.011 0.002897 863.571 276.954 0.00121408385 0.00710142604 0.0000471974 0.0000936335 6375447.529 6028418.105 6045661.734 126.99739 -642.75044 -3.71774 0.0002848309 -139.46981 50.009 0.002956 863.952 277.152 0.00119596891 0.00710828015 0.0000464419 0.0000935739 6385306.533 6042401.668 6057046.232 129.07286 -654.03748 -3.30790 0.0002840157 -144.64877 51.007 0.003015 864.350 277.354 0.00117790236 0.00711450881 0.0000456875 0.0000935011 6395637.910 6056811.255 6069014.137 131.11361 -665.20759 -2.87705 0.0002831886 -149.90842 52.006 0.003074 864.766 277.559 0.00115988770 0.00712010286 0.0000449344 0.0000934152 6406446.656 6071642.168 6081571.139 133.11867 -676.25744 -2.42500 0.0002823497 -155.24790 53.004 0.003133 865.200 277.768 0.00114192852 0.00712505252 0.0000441830 0.0000933162 6417738.254 6086888.911 6094723.540 135.08705 -687.18360 -1.95152 0.0002814993 -160.66636 54.002 0.003192 865.652 277.981 0.00112402844 0.00712934712 0.0000434334 0.0000932042 6429518.760 6102544.946 6108478.433 137.01771 -697.98249 -1.45634 0.0002806376 -166.16292 55.000 0.003251 866.123 278.197 0.00110619115 0.00713297491 0.0000426859 0.0000930791 6441794.928 6118602.312 6122843.971 138.90960 -708.65031 -0.93918 0.0002797650 -171.73667 56.016 0.003311 866.621 278.419 0.00108811984 0.00713596655 0.0000419281 0.0000929385 6454795.399 6135333.078 6138089.254 140.79261 -719.36036 -0.39035 0.0002788666 -177.48313 57.014 0.003370 867.130 278.641 0.00107042082 0.00713820615 0.0000411855 0.0000927872 6468095.833 6152166.016 6153718.446 142.60274 -729.75105 0.17230 0.0002779727 -183.20983 58.012 0.003429 867.657 278.866 0.00105279641 0.00713972868 0.0000404456 0.0000926230 6481919.368 6169357.149 6169997.169 144.37028 -739.99679 0.75834 0.0002770686 -189.01096 59.010 0.003488 868.205 279.093 0.00103525100 0.00714050105 0.0000397086 0.0000924459 6496280.164 6186871.011 6186954.403 146.09336 -750.09033 1.36880 0.0002761546 -194.88556 60.009 0.003547 868.773 279.321 0.00101778984 0.00714049040 0.0000389749 0.0000922560 6511200.501 6204677.439 6204618.097 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207.19772 0.0003022886 111.07667 341.016 0.020155 877.350 273.393 0.00239092857 0.00544725154 0.0000893322 0.0000693202 6739280.198 6165757.264 6528233.587 269.51167 263.34271 206.27271 0.0003026523 113.13414 342.014 0.020214 876.589 273.297 0.00237669669 0.00548594126 0.0000889938 0.0000699984 6718803.999 6147247.419 6503507.147 272.16498 249.71381 205.38256 0.0003029922 115.03468 343.013 0.020273 875.845 273.207 0.00236230872 0.00552425785 0.0000886437 0.0000706705 6698813.750 6129269.444 6479315.745 274.82926 236.04944 204.51167 0.0003033142 116.81395 344.011 0.020332 875.117 273.120 0.00234776781 0.00556219864 0.0000882819 0.0000713365 6679307.208 6111820.628 6455658.884 277.50414 222.35178 203.66002 0.0003036184 118.47227 345.009 0.020391 874.406 273.039 0.00233307712 0.00559976102 0.0000879086 0.0000719961 6660282.154 6094898.318 6432536.020 280.18923 208.62298 202.82760 0.0003039047 120.01000 346.008 0.020450 873.711 272.961 0.00231823976 0.00563694244 0.0000875238 0.0000726491 6641736.392 6078499.921 6409946.574 282.88411 194.86521 202.01438 0.0003041729 121.42749 347.006 0.020509 873.032 272.888 0.00230325885 0.00567374040 0.0000871277 0.0000732953 6623667.751 6062622.898 6387889.930 285.58839 181.08056 201.22034 0.0003044230 122.72511 348.004 0.020568 872.371 272.820 0.00228813746 0.00571015245 0.0000867205 0.0000739344 6606074.087 6047264.773 6366365.446 288.30162 167.27117 200.44546 0.0003046549 123.90325 349.002 0.020627 871.725 272.756 0.00227287868 0.00574617619 0.0000863021 0.0000745664 6588953.281 6032423.127 6345372.452 291.02337 153.43910 199.68971 0.0003048685 124.96228 350.001 0.020686 871.097 272.696 0.00225748554 0.00578180925 0.0000858728 0.0000751910 6572303.248 6018095.600 6324910.256 293.75320 139.58644 198.95307 0.0003050638 125.90262 351.016 0.020746 870.475 272.640 0.00224169683 0.00581764319 0.0000854251 0.0000758184 6555851.695 6004050.128 6304644.884 296.53710 125.48000 198.22352 0.0003052436 126.73760 352.014 0.020805 869.879 272.590 0.00222604191 0.00585248120 0.0000849742 0.0000764275 6540144.956 5990752.623 6285251.116 299.28182 111.59205 197.52534 0.0003054017 127.43979 353.012 0.020864 869.301 272.543 0.00221026174 0.00588692159 0.0000845126 0.0000770287 6524902.877 5977962.486 6266385.973 302.03321 97.68968 196.84620 0.0003055414 128.02456 354.011 0.020923 868.739 272.502 0.00219435928 0.00592096211 0.0000840407 0.0000776218 6510123.501 5965677.598 6248048.720 304.79079 83.77490 196.18605 0.0003056625 128.49233 355.009 0.020982 868.194 272.464 0.00217833752 0.00595460050 0.0000835585 0.0000782065 6495804.904 5953895.905 6230238.618 307.55406 69.84973 195.54489 0.0003057650 128.84357 356.007 0.021041 867.665 272.431 0.00216219940 0.00598783456 0.0000830662 0.0000787827 6481945.200 5942615.407 6212954.929 310.32251 55.91615 194.92268 0.0003058490 129.07871 357.006 0.021100 867.153 272.403 0.00214594786 0.00602066207 0.0000825640 0.0000793503 6468542.540 5931834.169 6196196.921 313.09564 41.97616 194.31939 0.0003059143 129.19823 358.004 0.021159 866.658 272.379 0.00212958583 0.00605308082 0.0000820519 0.0000799091 6455595.115 5921550.312 6179963.870 315.87293 28.03174 193.73500 0.0003059610 129.20260 359.002 0.021218 866.180 272.359 0.00211311622 0.00608508860 0.0000815302 0.0000804588 6443101.155 5911762.017 6164255.064 318.65383 14.08485 193.16948 0.0003059890 129.09229 360.000 0.021277 865.718 272.344 0.00209654192 0.00611668320 0.0000809989 0.0000809994 6431058.934 5902467.526 6149069.808 321.43783 0.13748 192.62281 0.0003059983 128.86780 Engine speed (Hz) = 47.0000000000 Output power (W) = 6056.5618499391 Heat into heater (W) = 15107.5778111640 Heat to regenerator (W) = 6.4614178768 Heat removal from cooler (W) = 9053.2722149425 Approximate Pumping loss (W) = -6502.0497918533 Thermal efficiency (%) = 40.0895625073 The average engine pressure (Pa) = 8482749.9415163714 The exp space work per cycle (J) = 321.4500544950 The comp space work per cycle (J) = -192.5870364112 The net work per cycle (J) = 128.8630180838 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -963.5892071629 The expansion work for Vmin-to-Vmax (J) = 1092.4522252467 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 866.714 272.396 0.00209890958 0.00610988903 0.0000809929 0.0000810053 6446209.869 5896605.211 6153544.925 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.014 0.000059 866.272 272.387 0.00208217333 0.00614124756 0.0000804501 0.0000815386 6434669.704 5887915.063 6138762.058 2.78219 -14.00578 -0.53218 0.0003059887 -0.35233 2.016 0.000117 865.846 272.382 0.00206533605 0.00617218694 0.0000798980 0.0000820622 6423578.661 5879718.769 6124505.089 5.56641 -28.00912 -1.04543 0.0003059602 -0.81881 3.001 0.000174 865.443 272.382 0.00204869345 0.00620218227 0.0000793466 0.0000825673 6413114.804 5872143.392 6111005.728 8.30403 -41.76673 -1.53141 0.0003059139 -1.38796 4.003 0.000232 865.050 272.386 0.00203166443 0.00623228370 0.0000787767 0.0000830715 6402909.385 5864921.602 6097789.752 11.09055 -55.75937 -2.00719 0.0003058482 -2.07923 5.005 0.000290 864.674 272.395 0.00201454301 0.00626195902 0.0000781981 0.0000835656 6393148.263 5858189.047 6085097.979 13.87738 -69.74367 -2.46409 0.0003057637 -2.88309 6.008 0.000348 864.314 272.408 0.00199733208 0.00629120585 0.0000776109 0.0000840495 6383829.917 5851944.290 6072929.905 16.66391 -83.71764 -2.90214 0.0003056604 -3.79899 7.010 0.000406 863.971 272.425 0.00198003452 0.00632002176 0.0000770153 0.0000845231 6374952.878 5846185.947 6061285.062 19.44954 -97.67931 -3.32136 0.0003055384 -4.82641 8.012 0.000464 863.645 272.447 0.00196265319 0.00634840431 0.0000764116 0.0000849862 6366515.729 5840912.687 6050163.023 22.23368 -111.62668 -3.72175 0.0003053978 -5.96478 9.014 0.000522 863.336 272.474 0.00194519096 0.00637635102 0.0000757998 0.0000854387 6358517.109 5836123.230 6039563.404 25.01569 -125.55777 -4.10333 0.0003052385 -7.21355 10.017 0.000580 863.043 272.505 0.00192765071 0.00640385934 0.0000751802 0.0000858804 6350955.712 5831816.345 6029485.867 27.79496 -139.47058 -4.46613 0.0003050606 -8.57216 11.002 0.000637 862.771 272.539 0.00191033962 0.00643046377 0.0000745639 0.0000863038 6343949.455 5828052.736 6020090.457 30.52302 -153.12378 -4.80436 0.0003048677 -10.01381 12.004 0.000695 862.511 272.579 0.00189265312 0.00645709522 0.0000739293 0.0000867238 6337251.332 5824699.227 6011047.277 33.29496 -166.99445 -5.12992 0.0003046531 -11.58852 13.006 0.000753 862.268 272.623 0.00187489714 0.00648328044 0.0000732875 0.0000871326 6330986.888 5821824.899 6002525.474 36.06225 -180.84086 -5.43670 0.0003044201 -13.27134 14.008 0.000811 862.041 272.672 0.00185707453 0.00650901669 0.0000726387 0.0000875300 6325155.057 5819428.706 5994524.920 38.82422 -194.66099 -5.72472 0.0003041688 -15.06171 15.011 0.000869 861.831 272.725 0.00183918817 0.00653430117 0.0000719830 0.0000879161 6319754.841 5817509.636 5987045.553 41.58021 -208.45281 -5.99398 0.0003038992 -16.95902 16.013 0.000927 861.638 272.782 0.00182124093 0.00655913101 0.0000713207 0.0000882907 6314785.308 5816066.722 5980087.369 44.32955 -222.21428 -6.24447 0.0003036114 -18.96267 17.015 0.000985 861.461 272.844 0.00180323569 0.00658350326 0.0000706519 0.0000886536 6310245.598 5815099.028 5973650.433 47.07157 -235.94333 -6.47620 0.0003033055 -21.07205 18.000 0.001042 861.304 272.909 0.00178548715 0.00660700658 0.0000699886 0.0000889988 6306202.164 5814610.147 5967832.454 49.75849 -249.40210 -6.68565 0.0003029874 -23.24750 19.002 0.001100 861.160 272.980 0.00176737542 0.00663046258 0.0000693076 0.0000893383 6302512.427 5814582.068 5962429.494 52.48393 -263.06075 -6.88016 0.0003026459 -25.56473 20.004 0.001158 861.033 273.055 0.00174921429 0.00665345178 0.0000686208 0.0000896658 6299250.383 5815026.611 5957548.397 55.19996 -276.68078 -7.05588 0.0003022866 -27.98585 21.007 0.001216 860.922 273.134 0.00173100667 0.00667597093 0.0000679284 0.0000899813 6296415.477 5815942.959 5953189.521 57.90588 -290.26005 -7.21279 0.0003019097 -30.51024 22.009 0.001274 860.828 273.218 0.00171275547 0.00669801668 0.0000672305 0.0000902846 6294007.233 5817330.317 5949353.304 60.60097 -303.79645 -7.35090 0.0003015151 -33.13726 23.011 0.001332 860.751 273.306 0.00169446360 0.00671958559 0.0000665275 0.0000905757 6292025.265 5819187.907 5946040.267 63.28450 -317.28782 -7.47017 0.0003011032 -35.86627 24.013 0.001390 860.690 273.399 0.00167613401 0.00674067413 0.0000658194 0.0000908544 6290469.277 5821514.966 5943251.021 65.95574 -330.73198 -7.57058 0.0003006739 -38.69663 25.016 0.001448 860.646 273.496 0.00165776963 0.00676127866 0.0000651067 0.0000911207 6289339.065 5824310.741 5940986.263 68.61395 -344.12673 -7.65211 0.0003002274 -41.62767 26.001 0.001505 860.618 273.596 0.00163969086 0.00678105276 0.0000644017 0.0000913702 6288643.064 5827514.256 5939272.321 71.21292 -357.24026 -7.71381 0.0002997719 -44.60564 27.003 0.001563 860.607 273.701 0.00162126627 0.00680068646 0.0000636801 0.0000916116 6288356.846 5831237.180 5938049.934 73.84308 -370.53049 -7.75782 0.0002992918 -47.73437 28.005 0.001621 860.612 273.811 0.00160281576 0.00681982466 0.0000629544 0.0000918404 6288496.392 5835426.596 5937354.688 76.45796 -383.76462 -7.78285 0.0002987948 -50.96181 29.007 0.001679 860.634 273.926 0.00158434234 0.00683846329 0.0000622248 0.0000920564 6289061.908 5840081.749 5937187.673 79.05679 -396.94038 -7.78886 0.0002982813 -54.28727 30.010 0.001737 860.673 274.044 0.00156584900 0.00685659814 0.0000614916 0.0000922597 6290053.717 5845201.869 5937550.089 81.63880 -410.05544 -7.77581 0.0002977512 -57.71008 31.012 0.001795 860.728 274.167 0.00154733881 0.00687422489 0.0000607548 0.0000924500 6291472.262 5850786.167 5938443.244 84.20319 -423.10745 -7.74366 0.0002972049 -61.22953 32.014 0.001853 860.800 274.295 0.00152881480 0.00689133906 0.0000600149 0.0000926275 6293318.108 5856833.827 5939868.563 86.74918 -436.09405 -7.69235 0.0002966424 -64.84494 33.016 0.001911 860.888 274.426 0.00151028005 0.00690793605 0.0000592720 0.0000927920 6295591.953 5863344.000 5941827.591 89.27597 -449.01282 -7.62182 0.0002960640 -68.55559 34.001 0.001968 860.992 274.560 0.00149205741 0.00692373843 0.0000585392 0.0000929410 6298244.392 5870191.685 5944274.444 91.73971 -461.64041 -7.53374 0.0002954802 -72.29438 35.004 0.002026 861.113 274.700 0.00147351054 0.00693929582 0.0000577910 0.0000930796 6301369.453 5877616.225 5947296.748 94.22603 -474.41745 -7.42493 0.0002948706 -76.19178 36.006 0.002084 861.252 274.844 0.00145496223 0.00695432144 0.0000570405 0.0000932051 6304925.424 5885500.464 5950858.126 96.69073 -487.11930 -7.29672 0.0002942457 -80.18228 37.008 0.002142 861.407 274.993 0.00143641563 0.00696881008 0.0000562880 0.0000933175 6308913.581 5893843.334 5954960.649 99.13297 -499.74340 -7.14903 0.0002936055 -84.26516 38.010 0.002200 861.579 275.145 0.00141787393 0.00698275636 0.0000555336 0.0000934167 6313335.366 5902643.687 5959606.535 101.55191 -512.28717 -6.98178 0.0002929503 -88.43966 39.012 0.002258 861.767 275.302 0.00139934033 0.00699615473 0.0000547775 0.0000935027 6318192.393 5911900.282 5964798.156 103.94671 -524.74801 -6.79488 0.0002922802 -92.70506 40.015 0.002316 861.973 275.463 0.00138081807 0.00700899946 0.0000540201 0.0000935754 6323486.456 5921611.772 5970538.046 106.31652 -537.12325 -6.58825 0.0002915956 -97.06058 41.017 0.002374 862.196 275.629 0.00136231041 0.00702128459 0.0000532615 0.0000936349 6329219.543 5931776.687 5976828.910 108.66047 -549.41018 -6.36178 0.0002908965 -101.50546 42.002 0.002431 862.431 275.795 0.00134413924 0.00703280678 0.0000525151 0.0000936805 6335283.635 5942206.553 5983550.912 110.93799 -561.39658 -6.11978 0.0002901956 -105.96003 43.004 0.002489 862.687 275.968 0.00132567026 0.00704396403 0.0000517549 0.0000937136 6341893.874 5953265.587 5990942.946 113.22810 -573.50026 -5.85367 0.0002894685 -110.57982 44.006 0.002547 862.961 276.145 0.00130722575 0.00705454272 0.0000509943 0.0000937335 6348950.305 5964772.750 5998895.145 115.48975 -585.50730 -5.56739 0.0002887277 -115.28664 45.009 0.002605 863.251 276.327 0.00128880909 0.00706453601 0.0000502334 0.0000937400 6356455.796 5976725.883 6007411.015 117.72204 -597.41480 -5.26082 0.0002879734 -120.07970 46.011 0.002663 863.559 276.512 0.00127042368 0.00707393681 0.0000494725 0.0000937332 6364413.468 5989122.585 6016494.302 119.92405 -609.21982 -4.93382 0.0002872058 -124.95819 47.013 0.002721 863.884 276.701 0.00125207296 0.00708273769 0.0000487119 0.0000937131 6372826.724 6001960.174 6026149.019 122.09487 -620.91935 -4.58625 0.0002864250 -129.92130 48.015 0.002779 864.227 276.894 0.00123376038 0.00709093094 0.0000479517 0.0000936798 6381699.265 6015235.642 6036379.474 124.23358 -632.51029 -4.21796 0.0002856315 -134.96820 49.000 0.002836 864.580 277.087 0.00121580410 0.00709838308 0.0000472053 0.0000936340 6390870.207 6028705.558 6046998.968 126.30321 -643.79256 -3.83565 0.0002848393 -140.00891 50.003 0.002894 864.958 277.288 0.00119757757 0.00710534721 0.0000464468 0.0000935743 6400665.658 6042838.758 6058385.062 128.37544 -655.15884 -3.42576 0.0002840211 -145.21945 51.005 0.002952 865.353 277.492 0.00117939974 0.00711167827 0.0000456894 0.0000935013 6410933.511 6057398.270 6070361.924 130.41270 -666.40689 -2.99459 0.0002831907 -150.51126 52.007 0.003010 865.766 277.699 0.00116127425 0.00711736673 0.0000449333 0.0000934151 6421678.999 6072379.019 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0.0000629670 6958057.568 6347346.089 6781674.259 244.27159 384.01593 217.57565 0.0002988036 86.12717 333.014 0.019272 884.896 274.324 0.00250084880 0.00511603959 0.0000916076 0.0000636927 6933146.970 6323965.820 6751955.546 246.80622 370.78053 216.50578 0.0002993002 89.13644 334.017 0.019330 884.007 274.193 0.00248797326 0.00515777763 0.0000913659 0.0000644142 6908745.920 6301148.688 6722776.069 249.35477 357.48757 215.45532 0.0002997801 92.02099 335.002 0.019387 883.150 274.070 0.00247513988 0.00519845608 0.0000911162 0.0000651191 6885259.643 6279270.462 6694625.213 251.87268 344.37009 214.44189 0.0003002352 94.73450 336.004 0.019445 882.293 273.948 0.00246190165 0.00523949887 0.0000908497 0.0000658318 6861861.645 6257560.328 6666515.301 254.44800 330.97017 213.42993 0.0003006814 97.37242 337.006 0.019503 881.453 273.832 0.00244848546 0.00528018602 0.0000905708 0.0000665397 6838965.891 6236403.779 6638944.848 257.03638 317.51983 212.43739 0.0003011105 99.88630 338.008 0.019561 880.629 273.720 0.00243489461 0.00532051431 0.0000902795 0.0000672427 6816569.953 6215797.712 6611913.764 259.63751 304.02142 211.46427 0.0003015221 102.27639 339.011 0.019619 879.821 273.612 0.00242113239 0.00536048064 0.0000899759 0.0000679404 6794671.418 6195739.077 6585421.889 262.25106 290.47725 210.51057 0.0003019163 104.54297 340.013 0.019677 879.030 273.509 0.00240720205 0.00540008196 0.0000896603 0.0000686327 6773267.888 6176224.880 6559468.992 264.87669 276.88959 209.57626 0.0003022930 106.68632 341.015 0.019735 878.256 273.411 0.00239310683 0.00543931532 0.0000893325 0.0000693194 6752356.982 6157252.180 6534054.780 267.51407 263.26073 208.66135 0.0003026520 108.70674 342.000 0.019792 877.511 273.319 0.00237909711 0.00547751097 0.0000889988 0.0000699886 6732284.277 6139131.379 6509603.238 270.11706 249.82887 207.78109 0.0003029874 110.57286 343.002 0.019850 876.769 273.229 0.00236468447 0.00551600634 0.0000886474 0.0000706635 6712343.160 6121223.873 6485256.019 272.77663 236.12491 206.90459 0.0003033109 112.35048 344.004 0.019908 876.043 273.144 0.00235011650 0.00555412541 0.0000882843 0.0000713322 6692887.682 6103849.440 6461446.286 275.44684 222.38636 206.04744 0.0003036165 114.00614 345.007 0.019966 875.335 273.064 0.00233539636 0.00559186549 0.0000879095 0.0000719944 6673915.546 6087005.374 6438173.542 278.12728 208.61541 205.20963 0.0003039040 115.54019 346.009 0.020024 874.643 272.988 0.00232052718 0.00562922398 0.0000875233 0.0000726500 6655424.479 6070689.029 6415437.252 280.81755 194.81421 204.39112 0.0003041733 116.95298 347.011 0.020082 873.967 272.916 0.00230551209 0.00566619832 0.0000871256 0.0000732987 6637412.233 6054897.820 6393236.847 283.51724 180.98490 203.59190 0.0003044243 118.24490 348.013 0.020140 873.308 272.849 0.00229035419 0.00570278600 0.0000867166 0.0000739404 6619876.589 6039629.224 6371571.724 286.22592 167.12962 202.81196 0.0003046570 119.41633 349.016 0.020198 872.666 272.787 0.00227505657 0.00573898455 0.0000862965 0.0000745748 6602815.356 6024880.780 6350441.258 288.94316 153.25047 202.05126 0.0003048712 120.46765 350.001 0.020255 872.051 272.730 0.00225988956 0.00577417751 0.0000858728 0.0000751910 6586508.398 6010891.072 6330195.389 291.62145 139.58939 201.32241 0.0003050638 121.38423 351.003 0.020313 871.442 272.676 0.00224432397 0.00580959736 0.0000854309 0.0000758105 6570381.443 5997166.930 6310123.079 294.35432 125.66910 200.59981 0.0003052414 122.19864 352.005 0.020371 870.849 272.627 0.00222862777 0.00584462095 0.0000849783 0.0000764221 6554722.543 5983955.968 6290583.437 297.09438 111.73113 199.89638 0.0003054004 122.89418 353.007 0.020429 870.273 272.582 0.00221280398 0.00587924592 0.0000845150 0.0000770257 6539529.632 5971255.976 6271575.773 299.84116 97.77756 199.21211 0.0003055407 123.47129 354.010 0.020487 869.714 272.542 0.00219685561 0.00591346998 0.0000840412 0.0000776211 6524800.679 5959064.803 6253099.388 302.59417 83.81041 198.54696 0.0003056624 123.93042 355.012 0.020545 869.171 272.506 0.00218078564 0.00594729081 0.0000835571 0.0000782082 6510533.689 5947380.361 6235153.580 305.35292 69.83173 197.90091 0.0003057653 124.27201 356.014 0.020603 868.645 272.475 0.00216459706 0.00598070614 0.0000830628 0.0000787867 6496726.705 5936200.626 6217737.649 308.11689 55.84353 197.27393 0.0003058495 124.49653 357.016 0.020661 868.136 272.448 0.00214829283 0.00601371368 0.0000825585 0.0000793564 6483377.805 5925523.633 6200850.899 310.88558 41.84782 196.66601 0.0003059149 124.60444 358.001 0.020718 867.652 272.426 0.00213215990 0.00604575262 0.0000820532 0.0000799077 6470703.544 5915518.699 6184770.209 313.61063 28.08804 196.08711 0.0003059609 124.59735 359.004 0.020776 867.175 272.408 0.00211563508 0.00607794491 0.0000815294 0.0000804596 6458257.395 5905832.958 6168930.676 316.38712 14.08338 195.51688 0.0003059890 124.47549 360.006 0.020834 866.716 272.395 0.00209900339 0.00610972263 0.0000809960 0.0000810023 6446263.845 5896644.466 6153618.310 319.16673 0.07716 194.96564 0.0003059983 124.23847 Engine speed (Hz) = 48.0000000000 Output power (W) = 5963.2019147745 Heat into heater (W) = 15320.0031504384 Heat to regenerator (W) = 3.7038355547 Heat removal from cooler (W) = 9358.3505782728 Approximate Pumping loss (W) = -6892.8057022106 Thermal efficiency (%) = 38.9242864784 The average engine pressure (Pa) = 8484658.3865629639 The exp space work per cycle (J) = 319.1505869204 The comp space work per cycle (J) = -194.9172136959 The net work per cycle (J) = 124.2333732245 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -965.9467782556 The expansion work for Vmin-to-Vmax (J) = 1090.1801514801 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 867.732 272.447 0.00210158427 0.00610246434 0.0000809958 0.0000810024 6461769.154 5890746.527 6158347.086 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.012 0.000057 867.292 272.439 0.00208480254 0.00613398692 0.0000804513 0.0000815374 6450287.219 5882168.497 6143444.351 2.77541 -14.05511 -0.53650 0.0003059887 -0.36459 2.017 0.000114 866.868 272.436 0.00206791773 0.00616508952 0.0000798974 0.0000820627 6439254.482 5874087.082 6129070.425 5.55287 -28.10883 -1.05396 0.0003059602 -0.84412 3.005 0.000170 866.469 272.438 0.00205123159 0.00619523517 0.0000793444 0.0000825693 6428851.066 5866629.500 6115463.103 8.28306 -41.91270 -1.54382 0.0003059137 -1.42669 4.010 0.000227 866.079 272.444 0.00203415106 0.00622549815 0.0000787726 0.0000830751 6418703.753 5859527.871 6102135.885 11.06291 -55.95774 -2.02360 0.0003058476 -2.13257 5.016 0.000284 865.705 272.455 0.00201697616 0.00625533400 0.0000781920 0.0000835707 6409000.596 5852918.200 6089335.887 13.84310 -69.99542 -2.48440 0.0003057627 -2.95182 6.004 0.000340 865.354 272.469 0.00200001349 0.00628422810 0.0000776132 0.0000840476 6399898.666 5846902.172 6077273.423 16.57426 -83.77771 -2.91865 0.0003056609 -3.86659 7.009 0.000397 865.014 272.489 0.00198266010 0.00631320994 0.0000770157 0.0000845228 6391071.373 5841263.555 6065517.266 19.35335 -97.79486 -3.34187 0.0003055385 -4.90900 8.015 0.000454 864.690 272.513 0.00196522101 0.00634175727 0.0000764100 0.0000849874 6382683.641 5836112.737 6054287.043 22.13097 -111.79865 -3.74616 0.0003053974 -6.06315 9.003 0.000510 864.388 272.540 0.00194800722 0.00636937813 0.0000758071 0.0000854334 6374869.732 5831526.073 6043765.679 24.85784 -125.54180 -4.12493 0.0003052405 -7.30532 10.008 0.000567 864.097 272.573 0.00193040680 0.00639705644 0.0000751856 0.0000858766 6367349.222 5827338.532 6033577.110 27.63073 -139.51315 -4.49172 0.0003050622 -8.67932 11.013 0.000624 863.823 272.610 0.00191272933 0.00642429247 0.0000745564 0.0000863089 6360264.160 5823635.091 6023913.575 30.40028 -153.46512 -4.83961 0.0003048652 -10.16336 12.001 0.000680 863.569 272.651 0.00189528976 0.00645061736 0.0000739309 0.0000867227 6353726.233 5820466.950 6014930.678 33.11738 -167.15146 -5.16299 0.0003046537 -11.72796 13.007 0.000737 863.328 272.697 0.00187746811 0.00647696857 0.0000732871 0.0000871328 6347500.759 5817719.878 6006307.454 35.87841 -181.05896 -5.47343 0.0003044199 -13.42842 14.012 0.000794 863.103 272.748 0.00185957806 0.00650286927 0.0000726361 0.0000875316 6341707.156 5815453.623 5998208.827 38.63417 -194.94098 -5.76498 0.0003041677 -15.23716 15.000 0.000850 862.898 272.802 0.00184193808 0.00652787407 0.0000719899 0.0000879122 6336434.729 5813694.381 5990763.126 41.33579 -208.55263 -6.03302 0.0003039021 -17.11904 16.006 0.000907 862.706 272.861 0.00182392103 0.00655287311 0.0000713255 0.0000882880 6331494.188 5812378.355 5983704.468 44.07910 -222.37801 -6.28713 0.0003036135 -19.14067 17.011 0.000964 862.531 272.925 0.00180584426 0.00657741284 0.0000706546 0.0000886522 6326982.526 5811540.224 5977170.515 46.81511 -236.17170 -6.52236 0.0003033067 -21.26878 18.017 0.001021 862.372 272.994 0.00178771071 0.00660149020 0.0000699774 0.0000890045 6322898.884 5811179.076 5971161.438 49.54315 -249.93159 -6.73868 0.0003029819 -23.50274 19.004 0.001077 862.232 273.065 0.00176984283 0.00662469178 0.0000693061 0.0000893390 6319302.945 5811287.914 5965769.166 52.21487 -263.41513 -6.93281 0.0003026451 -25.79998 20.010 0.001134 862.106 273.142 0.00175160537 0.00664784301 0.0000686171 0.0000896676 6316065.588 5811869.784 5960801.433 54.92499 -277.10175 -7.11164 0.0003022846 -28.24193 21.015 0.001191 861.996 273.224 0.00173331989 0.00667052213 0.0000679224 0.0000899840 6313254.146 5812926.084 5956359.537 57.62503 -290.74820 -7.27155 0.0003019063 -30.78785 22.003 0.001247 861.905 273.308 0.00171531131 0.00669234029 0.0000672345 0.0000902829 6310906.277 5814425.087 5952508.113 60.26717 -304.11401 -7.41020 0.0003015175 -33.38973 23.009 0.001304 861.828 273.398 0.00169693940 0.00671407324 0.0000665292 0.0000905750 6308937.681 5816419.544 5949110.170 62.94505 -317.67437 -7.53253 0.0003011042 -36.13985 24.014 0.001361 861.768 273.493 0.00167852833 0.00673532354 0.0000658189 0.0000908546 6307393.654 5818886.059 5946239.756 65.61066 -331.18802 -7.63586 0.0003006735 -38.99200 25.002 0.001417 861.725 273.591 0.00166040503 0.00675572741 0.0000651164 0.0000911172 6306289.918 5821768.259 5943934.150 68.21683 -344.41692 -7.71887 0.0003002336 -41.89282 26.007 0.001474 861.697 273.694 0.00164192520 0.00677600974 0.0000643968 0.0000913719 6305586.889 5825168.324 5942111.839 70.85591 -357.83130 -7.78447 0.0002997687 -44.94527 27.013 0.001531 861.686 273.802 0.00162341521 0.00679579797 0.0000636728 0.0000916140 6305307.936 5829038.145 5940819.570 73.48046 -371.19221 -7.83099 0.0002992869 -48.09775 28.001 0.001587 861.691 273.912 0.00160520351 0.00681475391 0.0000629576 0.0000918394 6305446.899 5833296.789 5940067.156 76.04409 -384.26441 -7.85808 0.0002987970 -51.29167 29.006 0.001644 861.713 274.029 0.00158664271 0.00683355043 0.0000622256 0.0000920562 6306008.895 5838095.574 5939828.857 78.63758 -397.51245 -7.86666 0.0002982818 -54.64044 30.012 0.001701 861.751 274.150 0.00156806086 0.00685184031 0.0000614900 0.0000922601 6306995.439 5843361.757 5940124.028 81.21424 -410.70004 -7.85603 0.0002977501 -58.08718 31.017 0.001758 861.806 274.275 0.00154946106 0.00686961911 0.0000607509 0.0000924510 6308406.927 5849094.509 5940954.042 83.77328 -423.82477 -7.82615 0.0002972019 -61.63120 32.005 0.001814 861.876 274.402 0.00153117312 0.00688658383 0.0000600216 0.0000926260 6310207.990 5855180.215 5942291.788 86.26948 -436.65569 -7.77799 0.0002966476 -65.20709 33.011 0.001871 861.964 274.536 0.00151254698 0.00690333571 0.0000592763 0.0000927911 6312463.602 5861835.333 5944186.634 88.79121 -449.64860 -7.70978 0.0002960674 -68.94185 34.016 0.001928 862.068 274.674 0.00149391226 0.00691956237 0.0000585282 0.0000929431 6315146.137 5868954.327 5946621.142 91.29290 -462.57131 -7.62213 0.0002954713 -72.77175 35.004 0.001984 862.187 274.814 0.00147559918 0.00693498800 0.0000577908 0.0000930797 6318198.283 5876399.195 5949540.300 93.73040 -475.19650 -7.51704 0.0002948704 -76.62641 36.009 0.002041 862.324 274.960 0.00145695687 0.00695015839 0.0000570378 0.0000932056 6321730.136 5884434.773 5953050.348 96.18994 -487.97252 -7.39068 0.0002942434 -80.64277 37.015 0.002098 862.478 275.111 0.00143831554 0.00696478805 0.0000562828 0.0000933182 6325692.216 5892931.029 5957106.075 98.62697 -500.67068 -7.24468 0.0002936011 -84.75207 38.003 0.002154 862.645 275.263 0.00142000536 0.00697862910 0.0000555393 0.0000934160 6330005.151 5901725.660 5961624.291 100.99850 -513.06769 -7.08202 0.0002929553 -88.87906 39.008 0.002211 862.832 275.422 0.00140137561 0.00699217022 0.0000547808 0.0000935024 6334824.571 5911131.446 5966768.797 103.38840 -525.60364 -6.89682 0.0002922831 -93.17039 40.014 0.002268 863.036 275.586 0.00138275664 0.00700515352 0.0000540209 0.0000935754 6340079.061 5920993.915 5972466.365 105.75323 -538.05371 -6.69171 0.0002915963 -97.55240 41.001 0.002324 863.253 275.750 0.00136447803 0.00701735988 0.0000532733 0.0000936341 6345666.999 5931126.562 5978605.298 108.05133 -550.19905 -6.47070 0.0002909074 -101.94509 42.007 0.002381 863.490 275.922 0.00134589029 0.00702921900 0.0000525113 0.0000936807 6351790.148 5941889.557 5985407.809 110.36389 -562.47064 -6.22581 0.0002901920 -106.50457 43.012 0.002438 863.744 276.097 0.00132732335 0.00704050138 0.0000517487 0.0000937138 6358355.009 5953104.041 5992772.368 112.64877 -574.64795 -5.96069 0.0002894625 -111.15239 44.000 0.002494 864.011 276.273 0.00130910572 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0.00260928151 0.00471765579 0.0000932044 0.0000570449 7186406.961 6543697.971 7045090.895 222.77018 486.84759 229.26432 0.0002942494 53.23817 325.005 0.018424 893.398 275.525 0.00259823056 0.00476247585 0.0000930784 0.0000577978 7157403.494 6515752.439 7010950.926 225.17972 474.15220 228.03528 0.0002948762 57.25287 326.011 0.018481 892.383 275.358 0.00258696212 0.00480698406 0.0000929392 0.0000585484 7128931.998 6488401.799 6977346.115 227.60483 461.37764 226.82551 0.0002954876 61.14100 327.016 0.018538 891.385 275.196 0.00257547971 0.00485117575 0.0000927868 0.0000592964 7100989.913 6461642.407 6944277.616 230.04535 448.52659 225.63504 0.0002960832 64.90262 328.004 0.018594 890.419 275.042 0.00256399376 0.00489427956 0.0000926244 0.0000600286 7074051.119 6435924.757 6912312.529 232.45789 435.82904 224.48430 0.0002966529 68.47512 329.010 0.018651 889.453 274.889 0.00255209749 0.00493783062 0.0000924461 0.0000607708 7047150.985 6410326.827 6880310.113 234.92843 422.83409 223.33221 0.0002972169 71.98618 330.015 0.018708 888.502 274.741 0.00253999762 0.00498105217 0.0000922548 0.0000615098 7020772.605 6385309.458 6848846.646 237.41381 409.77040 222.19953 0.0002977646 75.37103 331.003 0.018764 887.584 274.600 0.00252791509 0.00502319064 0.0000920542 0.0000622325 6995362.623 6361292.963 6818460.634 239.86982 396.87142 221.10563 0.0002982867 78.57371 332.009 0.018821 886.666 274.462 0.00251542175 0.00506574708 0.0000918373 0.0000629644 6970011.009 6337416.192 6788067.378 242.38397 383.67894 220.01147 0.0002988018 81.70877 333.014 0.018878 885.764 274.328 0.00250273502 0.00510796226 0.0000916076 0.0000636924 6945173.499 6314109.639 6758214.637 244.91226 370.42520 218.93678 0.0002993001 84.71807 334.002 0.018934 884.894 274.201 0.00249008581 0.00514910094 0.0000913696 0.0000644036 6921269.914 6291764.002 6729412.306 247.40973 357.34671 217.89989 0.0002997732 87.55231 335.007 0.018991 884.024 274.077 0.00247702566 0.00519062881 0.0000911147 0.0000651232 6897444.047 6269577.942 6700631.946 249.96529 343.97877 216.86380 0.0003002379 90.31291 336.013 0.019048 883.171 273.957 0.00246378215 0.00523180476 0.0000908472 0.0000658381 6874124.690 6247952.172 6672392.758 252.53420 330.55680 215.84719 0.0003006854 92.94838 337.001 0.019104 882.349 273.843 0.00245059562 0.00527191234 0.0000905723 0.0000665359 6851705.260 6227248.311 6645176.052 255.07074 317.32000 214.86739 0.0003011082 95.41599 338.006 0.019161 881.529 273.733 0.00243699839 0.00531238076 0.0000902801 0.0000672411 6829382.587 6206723.810 6618009.768 257.66520 303.79792 213.88940 0.0003015213 97.80413 339.012 0.019218 880.725 273.626 0.00242322764 0.00535248749 0.0000899756 0.0000679411 6807558.937 6186750.144 6591384.556 260.27208 290.22882 212.93089 0.0003019168 100.06792 340.017 0.019275 879.937 273.525 0.00240928663 0.00539222947 0.0000896589 0.0000686357 6786231.831 6167324.254 6565300.241 262.89103 276.61499 211.99186 0.0003022946 102.20762 341.005 0.019331 879.179 273.429 0.00239542754 0.00543091609 0.0000893359 0.0000693126 6765760.054 6148769.713 6540200.056 265.47547 263.19865 211.08825 0.0003026484 104.18925 342.010 0.019388 878.425 273.337 0.00238115857 0.00546992613 0.0000889952 0.0000699957 6745410.068 6130420.961 6515187.270 268.11734 249.50285 210.18779 0.0003029908 106.08388 343.016 0.019445 877.687 273.249 0.00236672897 0.00550856268 0.0000886425 0.0000706727 6725549.345 6112611.222 6490714.490 270.77022 235.76905 209.30677 0.0003033152 107.85537 344.004 0.019501 876.978 273.167 0.00235239916 0.00554615496 0.0000882846 0.0000713317 6706511.199 6095636.120 6467196.543 273.38692 222.24132 208.46012 0.0003036163 109.47619 345.009 0.019558 876.272 273.088 0.00233766049 0.00558404289 0.0000879086 0.0000719961 6687613.357 6078886.686 6443793.061 276.06050 208.43869 207.61760 0.0003039047 111.00457 346.015 0.019615 875.584 273.013 0.00232277063 0.00562154918 0.0000875210 0.0000726538 6669197.701 6062668.051 6420928.253 278.74392 194.60459 206.79447 0.0003041748 112.41086 347.003 0.019671 874.923 272.945 0.00230799779 0.00565802329 0.0000871290 0.0000732932 6651572.450 6047248.323 6398988.656 281.38944 180.98464 206.00464 0.0003044222 113.67395 348.008 0.019728 874.268 272.879 0.00229281743 0.00569476534 0.0000867188 0.0000739369 6634105.870 6032074.270 6377190.164 284.09114 167.09452 205.21989 0.0003046558 114.83931 349.014 0.019785 873.629 272.818 0.00227749518 0.00573111811 0.0000862974 0.0000745734 6617114.635 6017423.371 6355928.694 286.80141 153.17930 204.45448 0.0003048708 115.88374 350.001 0.019841 873.017 272.763 0.00226230654 0.00576645160 0.0000858725 0.0000751914 6600882.236 6003536.615 6335562.619 289.47206 139.48583 203.72130 0.0003050639 116.79246 351.007 0.019898 872.411 272.711 0.00224671207 0.00580202531 0.0000854292 0.0000758129 6584826.773 5989915.709 6315363.964 292.19801 125.52710 202.99415 0.0003052420 117.59834 352.012 0.019955 871.822 272.663 0.00223098485 0.00583720242 0.0000849750 0.0000764265 6569240.083 5976810.887 6295700.473 294.93117 111.54954 202.28627 0.0003054014 118.28452 353.000 0.020011 871.259 272.621 0.00221540720 0.00587137385 0.0000845184 0.0000770214 6554381.283 5964436.385 6276902.490 297.62295 97.80085 201.60954 0.0003055398 118.84252 354.006 0.020068 870.703 272.582 0.00219942576 0.00590575768 0.0000840431 0.0000776188 6539717.628 5952348.111 6258298.010 300.36900 83.79205 200.93978 0.0003056619 119.29271 355.011 0.020125 870.163 272.548 0.00218332058 0.00593973782 0.0000835575 0.0000782078 6525516.474 5940769.427 6240226.738 303.12082 69.77056 200.28921 0.0003057652 119.62454 356.017 0.020182 869.641 272.519 0.00216709466 0.00597331195 0.0000830616 0.0000787881 6511775.792 5929698.282 6222688.013 305.87791 55.73841 199.65782 0.0003058497 119.83847 357.004 0.020238 869.143 272.494 0.00215103872 0.00600589939 0.0000825645 0.0000793497 6498722.671 5919313.707 6205974.964 308.59125 41.94403 199.05615 0.0003059142 119.93429 358.010 0.020295 868.653 272.473 0.00213458224 0.00603866170 0.0000820487 0.0000799125 6485889.004 5909242.929 6189490.056 311.35724 27.89675 198.46269 0.0003059612 119.91590 359.015 0.020352 868.180 272.457 0.00211801389 0.00607101103 0.0000815231 0.0000804661 6473509.986 5899673.955 6173535.763 314.12692 13.84486 197.88834 0.0003059892 119.78105 360.003 0.020408 867.732 272.445 0.00210163013 0.00610238840 0.0000809974 0.0000810009 6461789.089 5890759.791 6158377.498 316.85110 0.03695 197.34264 0.0003059983 119.53562 Engine speed (Hz) = 49.0000000000 Output power (W) = 5856.9811372367 Heat into heater (W) = 15525.7039526211 Heat to regenerator (W) = 1.8106294414 Heat removal from cooler (W) = 9669.7892976820 Approximate Pumping loss (W) = -7298.0021651200 Thermal efficiency (%) = 37.7244159435 The average engine pressure (Pa) = 8486571.5046418048 The exp space work per cycle (J) = 316.8156100038 The comp space work per cycle (J) = -197.2853827133 The net work per cycle (J) = 119.5302272905 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -968.3542487614 The expansion work for Vmin-to-Vmax (J) = 1087.8844760519 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 868.763 272.497 0.00210430304 0.00609489311 0.0000809991 0.0000809992 6477557.614 5884760.145 6163252.847 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.008 0.000056 868.327 272.491 0.00208748893 0.00612655768 0.0000804532 0.0000815355 6466147.153 5876301.481 6148239.293 2.76622 -14.09383 -0.54049 0.0003059888 -0.37671 2.016 0.000112 867.907 272.490 0.00207056979 0.00615780213 0.0000798980 0.0000820622 6455185.318 5868341.524 6133756.666 5.53453 -28.18736 -1.06186 0.0003059602 -0.86902 3.006 0.000167 867.510 272.494 0.00205385339 0.00618807734 0.0000793438 0.0000825699 6444854.158 5861007.560 6120048.942 8.25490 -42.02697 -1.55534 0.0003059136 -1.46455 4.014 0.000223 867.123 272.501 0.00203673477 0.00621848183 0.0000787705 0.0000830769 6434776.256 5854031.353 6106617.171 11.02566 -56.11392 -2.03888 0.0003058474 -2.18444 5.004 0.000278 866.759 272.514 0.00201982812 0.00624792734 0.0000781989 0.0000835649 6425309.886 5847660.599 6093940.611 13.74731 -69.94317 -2.49524 0.0003057638 -3.00246 6.012 0.000334 866.405 272.530 0.00200252155 0.00627748214 0.0000776083 0.0000840516 6416109.174 5841662.199 6081557.871 16.51823 -84.01559 -2.94102 0.0003056599 -3.94780 7.002 0.000389 866.073 272.551 0.00198543596 0.00630608826 0.0000770201 0.0000845194 6407501.162 5836249.035 6069910.811 19.23888 -97.82664 -3.36031 0.0003055395 -4.98619 8.010 0.000445 865.752 272.577 0.00196795295 0.00633478340 0.0000764129 0.0000849852 6399171.290 5831222.937 6058575.553 22.00758 -111.87656 -3.76838 0.0003053981 -6.15481 9.000 0.000500 865.453 272.607 0.00195069973 0.00636254020 0.0000758086 0.0000854323 6391415.599 5826762.162 6047956.626 24.72486 -125.66158 -4.15066 0.0003052409 -7.41140 10.008 0.000556 865.164 272.642 0.00193305177 0.00639036539 0.0000751856 0.0000858766 6383950.631 5822703.274 6037667.625 27.48891 -139.68097 -4.52107 0.0003050622 -8.80107 11.016 0.000612 864.893 272.681 0.00191532497 0.00641774766 0.0000745548 0.0000863099 6376919.899 5819130.541 6027906.118 30.24967 -153.68191 -4.87248 0.0003048647 -10.30140 12.006 0.000667 864.642 272.724 0.00189784080 0.00644420717 0.0000739279 0.0000867247 6370436.092 5816093.704 6018832.210 32.95731 -167.41288 -5.19914 0.0003046526 -11.88207 13.014 0.000723 864.403 272.772 0.00187996637 0.00647070330 0.0000732824 0.0000871357 6364262.179 5813481.244 6010115.835 35.70963 -181.37113 -5.51293 0.0003044182 -13.59999 14.004 0.000778 864.184 272.823 0.00186234286 0.00649628698 0.0000726415 0.0000875284 6358617.488 5811385.442 6002068.240 38.40770 -195.05617 -5.80265 0.0003041699 -15.39321 15.012 0.000834 863.977 272.880 0.00184433232 0.00652188563 0.0000719821 0.0000879167 6353295.626 5809729.077 5994396.795 41.14898 -208.96356 -6.07882 0.0003038988 -17.32635 16.002 0.000889 863.791 272.941 0.00182658083 0.00654658210 0.0000713279 0.0000882867 6348485.620 5808570.358 5987375.551 43.83492 -222.59458 -6.33158 0.0003036146 -19.32978 17.010 0.000945 863.617 273.006 0.00180844576 0.00657127141 0.0000706553 0.0000886518 6344011.565 5807866.214 5980749.328 46.56250 -236.44282 -6.57013 0.0003033071 -21.47573 18.000 0.001000 863.462 273.075 0.00179057767 0.00659506873 0.0000699886 0.0000889988 6340032.346 5807640.907 5974754.980 49.23365 -250.01165 -6.78592 0.0003029874 -23.68696 19.008 0.001056 863.321 273.150 0.00177232971 0.00661883624 0.0000693037 0.0000893402 6336402.417 5807885.370 5969174.811 51.94480 -263.79234 -6.98681 0.0003026439 -26.04326 20.016 0.001112 863.197 273.229 0.00175402924 0.00664213377 0.0000686129 0.0000896695 6333197.146 5808607.106 5964122.881 54.64662 -277.53573 -7.16868 0.0003022824 -28.50474 21.006 0.001167 863.090 273.311 0.00173600734 0.00666455448 0.0000679289 0.0000899811 6330461.785 5809779.707 5959675.764 57.29040 -290.99527 -7.32877 0.0003019099 -31.02400 22.014 0.001223 862.998 273.400 0.00171761161 0.00668691022 0.0000672270 0.0000902861 6328096.261 5811444.999 5955672.264 59.97158 -304.65822 -7.47290 0.0003015131 -33.69202 23.004 0.001278 862.924 273.490 0.00169950196 0.00670839907 0.0000665325 0.0000905736 6326184.551 5813542.731 5952255.950 62.59368 -318.03446 -7.59589 0.0003011062 -36.41288 24.012 0.001334 862.864 273.587 0.00168102283 0.00672979879 0.0000658205 0.0000908540 6324656.711 5816148.398 5949303.283 65.25133 -331.60819 -7.70218 0.0003006745 -39.28486 25.002 0.001389 862.822 273.687 0.00166283713 0.00675034142 0.0000651164 0.0000911172 6323566.981 5819168.177 5946920.479 67.84888 -344.89243 -7.78797 0.0003002336 -42.20474 26.010 0.001445 862.795 273.792 0.00164428655 0.00677077008 0.0000643950 0.0000913725 6322875.504 5822711.099 5945021.766 70.48006 -358.36799 -7.85632 0.0002997675 -45.27805 27.000 0.001500 862.784 273.900 0.00162603659 0.00679035128 0.0000636822 0.0000916110 6322606.849 5826649.868 5943675.909 73.05015 -371.55134 -7.90477 0.0002992932 -48.39435 28.008 0.001556 862.789 274.014 0.00160742666 0.00680979294 0.0000629523 0.0000918410 6322751.225 5831126.918 5942835.047 75.65186 -384.91957 -7.93504 0.0002987934 -51.66628 29.016 0.001612 862.811 274.133 0.00158879141 0.00682873030 0.0000622185 0.0000920582 6323317.378 5836074.026 5942529.616 78.23753 -398.23011 -7.94604 0.0002982768 -55.03740 30.006 0.001667 862.849 274.254 0.00157046733 0.00684683433 0.0000614942 0.0000922590 6324284.177 5841389.522 5942752.087 80.76066 -411.24446 -7.93803 0.0002977532 -58.44416 31.014 0.001723 862.903 274.381 0.00155179118 0.00686475885 0.0000607533 0.0000924504 6325687.114 5847265.838 5943511.964 83.31221 -424.43347 -7.91067 0.0002972037 -62.00976 32.004 0.001778 862.973 274.511 0.00153343304 0.00688185917 0.0000600224 0.0000926258 6327476.543 5853492.238 5944783.604 85.80029 -437.32372 -7.86489 0.0002966482 -65.60617 33.012 0.001834 863.060 274.647 0.00151472847 0.00689875233 0.0000592752 0.0000927913 6329718.140 5860294.199 5946614.905 88.31456 -450.38146 -7.79897 0.0002960665 -69.36344 34.002 0.001889 863.161 274.784 0.00149634859 0.00691483019 0.0000585387 0.0000929411 6332332.578 5867427.833 5948942.208 90.76444 -463.13789 -7.71518 0.0002954797 -73.14668 35.010 0.001945 863.281 274.929 0.00147762825 0.00693067228 0.0000577862 0.0000930805 6335415.828 5875151.497 5951852.065 93.23821 -476.05434 -7.61043 0.0002948666 -77.09274 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595.55985 243.58817 0.0002879800 7.35660 316.008 0.017556 903.951 277.219 0.00269005577 0.00434324513 0.0000937333 0.0000510053 7445506.559 6774926.647 7341952.023 202.48886 583.70407 242.18614 0.0002887386 12.50615 317.016 0.017612 902.799 277.008 0.00268088754 0.00439042386 0.0000937131 0.0000517703 7412269.627 6742179.744 7303524.090 204.76429 571.74272 240.80273 0.0002894834 17.52901 318.006 0.017667 901.682 276.806 0.00267164220 0.00443650025 0.0000936801 0.0000525212 7380166.171 6710629.718 7266288.558 207.01485 559.89510 239.46225 0.0002902013 22.33871 319.014 0.017723 900.561 276.605 0.00266198712 0.00448314373 0.0000936333 0.0000532850 7348026.274 6679125.502 7228893.957 209.32236 547.73326 238.11605 0.0002909183 27.11001 320.004 0.017778 899.475 276.413 0.00265227060 0.00452868270 0.0000935742 0.0000540343 7316995.314 6648788.538 7192678.103 211.60434 535.69436 236.81228 0.0002916085 31.67239 321.012 0.017834 898.385 276.222 0.00264214283 0.00457476746 0.0000935007 0.0000547961 7285942.336 6618511.865 7156326.224 213.94372 523.34345 235.50361 0.0002922968 36.19169 322.002 0.017889 897.330 276.040 0.00263196898 0.00461974677 0.0000934156 0.0000555429 7255973.865 6589373.090 7121138.537 216.25687 511.12435 234.23685 0.0002929584 40.50644 323.010 0.017945 896.272 275.860 0.00262138258 0.00466525093 0.0000933156 0.0000563016 7225997.551 6560308.838 7085837.305 218.62780 498.59548 232.96601 0.0002936172 44.77350 324.000 0.018000 895.248 275.687 0.00261076514 0.00470964979 0.0000932044 0.0000570449 7197081.441 6532353.441 7051684.894 220.97173 486.20696 231.73652 0.0002942494 48.84047 325.008 0.018056 894.221 275.516 0.00259973404 0.00475455291 0.0000930781 0.0000577997 7168171.432 6504486.593 7017440.889 223.37377 473.51099 230.50374 0.0002948778 52.85526 326.016 0.018112 893.211 275.350 0.00258848384 0.00479914547 0.0000929385 0.0000585521 7139795.424 6477218.196 6983732.363 225.79129 460.73476 229.29023 0.0002954906 56.74281 327.006 0.018167 892.234 275.192 0.00257722466 0.00484263489 0.0000927885 0.0000592886 7112443.340 6451015.623 6951148.171 228.18057 448.11111 228.11720 0.0002960771 60.43715 328.014 0.018223 891.255 275.036 0.00256555049 0.00488659813 0.0000926227 0.0000600358 7085117.935 6424922.394 6918504.491 230.62832 435.18361 226.94203 0.0002966585 64.07269 329.004 0.018278 890.310 274.887 0.00255388161 0.00492946086 0.0000924471 0.0000607666 7058792.552 6399866.870 6886968.072 233.04693 422.41644 225.80672 0.0002972137 67.51970 330.012 0.018334 889.363 274.740 0.00254179708 0.00497277754 0.0000922554 0.0000615075 7032507.282 6374934.357 6855392.939 235.52415 409.34788 224.67001 0.0002977629 70.90362 331.002 0.018389 888.450 274.601 0.00252973178 0.00501499717 0.0000920545 0.0000622317 7007198.324 6351011.840 6824907.443 237.97132 396.44711 223.57253 0.0002982862 74.10374 332.010 0.018445 887.536 274.464 0.00251725035 0.00505765109 0.0000918370 0.0000629655 6981942.735 6327225.912 6794403.594 240.47719 383.24746 222.47440 0.0002988025 77.23659 333.000 0.018500 886.654 274.334 0.00250480180 0.00509921225 0.0000916109 0.0000636823 6957639.951 6304422.699 6764971.270 242.95202 370.22275 221.41483 0.0002992932 80.19043 334.008 0.018556 885.772 274.206 0.00249193678 0.00514118827 0.0000913681 0.0000644080 6933403.634 6281769.591 6735540.570 245.48558 356.90176 220.35533 0.0002997761 83.07288 335.016 0.018612 884.907 274.082 0.00247888325 0.00518281682 0.0000911125 0.0000651293 6909677.613 6259682.899 6706651.736 248.03271 343.52319 219.31533 0.0003002418 85.82931 336.006 0.018667 884.073 273.966 0.00246588255 0.00522336039 0.0000908491 0.0000658333 6886869.447 6238538.706 6678806.392 250.54730 330.32979 218.31290 0.0003006824 88.41406 337.014 0.018723 883.241 273.852 0.00245246518 0.00526428993 0.0000905685 0.0000665453 6864147.179 6217564.891 6650992.077 253.12049 316.84413 217.31158 0.0003011138 90.92138 338.004 0.018778 882.439 273.745 0.00243911352 0.00530414048 0.0000902808 0.0000672396 6842319.825 6197507.411 6624202.178 255.66009 303.55011 216.34714 0.0003015204 93.26195 339.012 0.018834 881.639 273.640 0.00242534527 0.00534435797 0.0000899755 0.0000679414 6820591.127 6177633.773 6597462.462 258.25814 289.96660 215.38452 0.0003019169 95.52116 340.002 0.018889 880.870 273.541 0.00241165530 0.00538350307 0.0000896637 0.0000686253 6799734.649 6158650.757 6571727.799 260.82152 276.58093 214.45807 0.0003022890 97.61859 341.010 0.018945 880.103 273.446 0.00239754896 0.00542299620 0.0000893342 0.0000693160 6778989.473 6139865.065 6546062.199 263.44312 262.90861 213.53411 0.0003026502 99.63082 342.000 0.019000 879.365 273.356 0.00238353316 0.00546142406 0.0000889988 0.0000699886 6759094.077 6121944.738 6521382.051 266.02896 249.44009 212.64562 0.0003029874 101.48628 343.008 0.019056 878.631 273.270 0.00236910139 0.00550018114 0.0000886453 0.0000706674 6739322.533 6104235.246 6496789.597 268.67272 235.68783 211.76029 0.0003033128 103.25276 344.016 0.019112 877.914 273.188 0.00235451020 0.00553856261 0.0000882800 0.0000713399 6720038.492 6087064.402 6472738.049 271.32709 221.89855 210.89444 0.0003036199 104.89577 345.006 0.019167 877.225 273.112 0.00234002744 0.00557589042 0.0000879098 0.0000719940 6701570.964 6070721.783 6449642.112 273.94403 208.32161 210.06298 0.0003039038 106.38958 346.014 0.019223 876.541 273.039 0.00232512959 0.00561351925 0.0000875213 0.0000726533 6683246.015 6054610.418 6426661.500 276.61828 194.46545 209.23568 0.0003041746 107.78889 347.004 0.019278 875.884 272.972 0.00231035172 0.00565010266 0.0000871285 0.0000732941 6665715.805 6039303.153 6404616.494 279.25396 180.82700 208.44206 0.0003044226 109.04407 348.012 0.019334 875.233 272.908 0.00229515952 0.00568696838 0.0000867172 0.0000739395 6648340.540 6024240.797 6382704.956 281.94649 166.91246 207.65324 0.0003046567 110.20116 349.002 0.019389 874.609 272.849 0.00228009856 0.00572279729 0.0000863023 0.0000745662 6631738.516 6009958.858 6361708.927 284.59928 153.22081 206.89739 0.0003048684 111.21920 350.010 0.019445 873.991 272.795 0.00226462420 0.00575888978 0.0000858687 0.0000751968 6615303.751 5995935.562 6340864.364 287.30837 139.25626 206.14698 0.0003050656 112.13564 351.000 0.019500 873.399 272.745 0.00224929206 0.00579395442 0.0000854322 0.0000758087 6599621.012 5982669.434 6320915.160 289.97657 125.51957 205.42881 0.0003052409 112.91813 352.008 0.019556 872.814 272.699 0.00223354762 0.00582926385 0.0000849770 0.0000764238 6584117.807 5969675.771 6301135.304 292.70044 111.51329 204.71674 0.0003054008 113.59555 353.016 0.019612 872.245 272.658 0.00221767147 0.00586417457 0.0000845110 0.0000770309 6569081.267 5957198.150 6281891.700 295.43106 97.48907 204.02397 0.0003055418 114.15305 354.006 0.019667 871.703 272.622 0.00220195354 0.00589807144 0.0000840430 0.0000776190 6554765.373 5945443.517 6263513.111 298.11903 83.69983 203.36234 0.0003056620 114.58430 355.014 0.019723 871.167 272.589 0.00218582526 0.00593218471 0.0000835561 0.0000782094 6540647.440 5933982.328 6245330.617 300.86160 69.64615 202.70777 0.0003057655 114.90542 356.004 0.019778 870.657 272.562 0.00216986552 0.00596529373 0.0000830678 0.0000787809 6527229.658 5923221.923 6227992.997 303.56034 55.83195 202.08361 0.0003058487 115.10541 357.012 0.019834 870.154 272.538 0.00215349693 0.00599860012 0.0000825607 0.0000793540 6514022.075 5912769.039 6210869.188 306.31287 41.75689 201.46716 0.0003059147 115.19199 358.002 0.019889 869.677 272.520 0.00213730694 0.00603091208 0.0000820528 0.0000799081 6501494.444 5902995.128 6194570.168 309.02040 27.92563 200.88039 0.0003059609 115.16255 359.010 0.019945 869.207 272.505 0.00212070977 0.00606340222 0.0000815260 0.0000804631 6489189.259 5893542.929 6178502.656 311.78085 13.83721 200.30196 0.0003059891 115.01651 360.000 0.020000 868.762 272.496 0.00210430102 0.00609490790 0.0000809991 0.0000809992 6477544.123 5884748.274 6163239.932 314.49511 -0.00326 199.75250 0.0003059983 114.75955 Engine speed (Hz) = 50.0000000000 Output power (W) = 5737.6920282391 Heat into heater (W) = 15724.7556436567 Heat to regenerator (W) = -0.1631420028 Heat removal from cooler (W) = 9987.6252030426 Approximate Pumping loss (W) = -7717.8554416902 Thermal efficiency (%) = 36.4882746560 The average engine pressure (Pa) = 8488513.7346320748 The exp space work per cycle (J) = 314.4403084297 The comp space work per cycle (J) = -199.6864678649 The net work per cycle (J) = 114.7538405648 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -970.7951946935 The expansion work for Vmin-to-Vmax (J) = 1085.5490352583 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 869.801 272.546 0.00210675944 0.00608775835 0.0000809929 0.0000810053 6493359.554 5878490.025 6167982.577 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000055 869.376 272.543 0.00209023115 0.00611896104 0.0000804560 0.0000815329 6482243.645 5870313.548 6153147.025 2.70461 -13.86517 -0.53408 0.0003059889 -0.38265 2.013 0.000110 868.960 272.543 0.00207329091 0.00615032575 0.0000798998 0.0000820605 6471365.228 5862481.227 6138564.149 5.46140 -27.98790 -1.05906 0.0003059603 -0.88741 3.004 0.000164 868.567 272.549 0.00205655758 0.00618070955 0.0000793448 0.0000825690 6461118.070 5855276.301 6124763.772 8.16958 -41.85267 -1.55588 0.0003059137 -1.49544 4.014 0.000219 868.184 272.558 0.00203941430 0.00621123530 0.0000787705 0.0000830769 6451120.836 5848430.370 6111234.320 10.92888 -55.97098 -2.04294 0.0003058474 -2.22871 5.005 0.000273 867.823 272.572 0.00202248731 0.00624079056 0.0000781981 0.0000835656 6441735.338 5842190.919 6098467.365 13.63841 -69.82749 -2.50255 0.0003057637 -3.06004 6.015 0.000328 867.472 272.591 0.00200515259 0.00627046744 0.0000776064 0.0000840531 6432612.248 5836325.419 6085989.670 16.39793 -83.93339 -2.95174 0.0003056596 -4.01967 7.007 0.000382 867.144 272.614 0.00198804330 0.00629918430 0.0000770173 0.0000845216 6424081.687 5831045.811 6074254.626 19.10651 -97.77376 -3.37421 0.0003055389 -5.07219 8.016 0.000437 866.826 272.642 0.00197052869 0.00632800211 0.0000764089 0.0000849882 6415826.090 5826155.227 6062827.292 21.86388 -111.85919 -3.78559 0.0003053971 -6.25600 9.008 0.000491 866.530 272.673 0.00195324846 0.00635587041 0.0000758038 0.0000854358 6408144.135 5821830.258 6052122.944 24.56917 -125.67552 -4.17095 0.0003052396 -7.52752 10.018 0.000546 866.245 272.710 0.00193556552 0.00638381866 0.0000751795 0.0000858808 6400749.792 5817909.492 6041744.898 27.32196 -139.73241 -4.54456 0.0003050604 -8.93326 11.009 0.000600 865.981 272.750 0.00191812571 0.00641082791 0.0000745591 0.0000863070 6393910.528 5814534.352 6032070.368 30.02154 -153.51673 -4.89284 0.0003048661 -10.42154 12.001 0.000654 865.732 272.795 0.00190061105 0.00643740757 0.0000739314 0.0000867224 6387486.688 5811628.103 6022905.816 32.71737 -167.28222 -5.22276 0.0003046538 -12.01637 13.010 0.000709 865.496 272.845 0.00188269799 0.00646403503 0.0000732848 0.0000871343 6381369.595 5809148.946 6014095.712 35.45863 -181.28122 -5.53993 0.0003044191 -13.74967 14.002 0.000763 865.280 272.899 0.00186504077 0.00648973918 0.0000726429 0.0000875275 6375780.442 5807186.010 6005960.409 38.14501 -195.00266 -5.83280 0.0003041704 -15.55782 15.012 0.000818 865.076 272.957 0.00184698833 0.00651546907 0.0000719823 0.0000879165 6370511.011 5805665.581 5998198.647 40.87534 -208.95266 -6.11222 0.0003038989 -17.50720 16.003 0.000872 864.891 273.020 0.00182919999 0.00654028609 0.0000713271 0.0000882871 6365751.801 5804642.000 5991092.779 43.54968 -222.62188 -6.36803 0.0003036142 -19.52632 17.013 0.000927 864.720 273.088 0.00181101984 0.00656510630 0.0000706533 0.0000886528 6361325.466 5804076.414 5984379.801 46.26640 -236.51449 -6.60970 0.0003033062 -21.68934 18.004 0.000981 864.567 273.159 0.00179311186 0.00658902402 0.0000699856 0.0000890003 6357391.985 5803988.503 5978304.063 48.92606 -250.12322 -6.82843 0.0003029859 -23.91701 19.014 0.001036 864.428 273.235 0.00177481574 0.00661292182 0.0000692995 0.0000893423 6353804.742 5804374.130 5972640.856 51.62647 -263.94995 -7.03230 0.0003026417 -26.29119 20.006 0.001090 864.307 273.315 0.00175679970 0.00663592742 0.0000686200 0.0000896662 6350693.352 5805218.433 5967596.502 54.26874 -277.48977 -7.21390 0.0003022862 -28.72493 21.015 0.001145 864.200 273.401 0.00173839945 0.00665888943 0.0000679224 0.0000899840 6347941.806 5806551.847 5962984.648 56.95003 -291.24196 -7.37993 0.0003019063 -31.30774 22.007 0.001199 864.111 273.489 0.00172028700 0.00668096941 0.0000672320 0.0000902840 6345649.491 5808325.082 5958973.543 59.57214 -304.70431 -7.52433 0.0003015160 -33.94505 23.017 0.001254 864.036 273.584 0.00170179453 0.00670298150 0.0000665237 0.0000905772 6343730.906 5810603.006 5955415.271 62.23146 -318.37317 -7.65242 0.0003011009 -36.73388 24.008 0.001308 863.979 273.681 0.00168359745 0.00672412159 0.0000658233 0.0000908529 6342255.327 5813302.005 5952439.940 64.83058 -331.74930 -7.75953 0.0003006762 -39.57219 25.018 0.001363 863.936 273.784 0.00166502481 0.00674516881 0.0000651051 0.0000911213 6341167.690 5816521.246 5949938.180 67.46502 -345.32584 -7.84960 0.0003002264 -42.56442 26.009 0.001417 863.911 273.890 0.00164675498 0.00676535393 0.0000643955 0.0000913724 6340507.247 5820142.888 5948001.867 70.03824 -358.60684 -7.91931 0.0002997679 -45.60111 27.001 0.001471 863.900 274.000 0.00162845355 0.00678506006 0.0000636817 0.0000916111 6340250.285 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7714125.012 181.21256 684.41647 257.85782 0.0002815105 -42.21577 308.001 0.016776 914.379 279.059 0.00275435472 0.00395254787 0.0000934158 0.0000449391 7737626.617 7044186.835 7671934.866 183.29926 673.72634 256.33898 0.0002823549 -36.18067 309.010 0.016831 913.109 278.805 0.00274731831 0.00400161333 0.0000935025 0.0000457008 7699991.895 7006367.754 7629444.253 185.44005 662.70824 254.80931 0.0002832034 -30.15743 310.002 0.016885 911.877 278.561 0.00274014027 0.00404958468 0.0000935746 0.0000464501 7663603.100 6969881.590 7588202.941 187.55722 651.76598 253.32463 0.0002840247 -24.36547 311.012 0.016940 910.637 278.318 0.00273255832 0.00409823065 0.0000936346 0.0000472144 7627110.062 6933373.320 7546687.963 189.72927 640.49745 251.83009 0.0002848490 -18.59065 312.003 0.016994 909.434 278.085 0.00272485164 0.00414577472 0.0000936805 0.0000479657 7591837.393 6898166.869 7506413.071 191.87729 629.31548 250.38019 0.0002856462 -13.04331 313.013 0.017049 908.225 277.853 0.00271673838 0.00419397030 0.0000937138 0.0000487316 7556476.205 6862954.506 7465890.562 194.08092 617.80903 248.92138 0.0002864455 -7.51830 314.004 0.017103 907.052 277.631 0.00270851704 0.00424105777 0.0000937334 0.0000494841 7522309.898 6829012.947 7426597.601 196.26006 606.39950 247.50683 0.0002872175 -2.21680 315.014 0.017158 905.873 277.410 0.00269988669 0.00428877411 0.0000937400 0.0000502507 7488070.505 6795081.234 7387082.363 198.49546 594.66734 246.08429 0.0002879907 3.05729 316.005 0.017212 904.731 277.198 0.00269116463 0.00433537760 0.0000937333 0.0000510034 7455000.585 6762389.456 7348784.928 200.70585 583.04209 244.70558 0.0002887367 8.11196 317.015 0.017267 903.583 276.988 0.00268203136 0.00438258774 0.0000937131 0.0000517698 7421872.732 6729722.899 7310289.890 202.97310 571.09615 243.31976 0.0002894828 13.13423 318.007 0.017321 902.471 276.787 0.00267282246 0.00442868165 0.0000936801 0.0000525217 7389889.040 6698265.614 7272999.808 205.21475 559.26675 241.97731 0.0002902019 17.94133 319.017 0.017376 901.354 276.587 0.00266320038 0.00447536041 0.0000936332 0.0000532870 7357862.292 6666848.591 7235536.170 207.51379 547.11864 240.62862 0.0002909201 22.71114 320.008 0.017430 900.273 276.396 0.00265351845 0.00452092085 0.0000935739 0.0000540373 7326954.510 6636610.436 7199263.638 209.78657 535.09636 239.32281 0.0002916113 27.27011 321.018 0.017485 899.188 276.206 0.00264342159 0.00456704469 0.0000935003 0.0000548004 7296018.292 6606427.297 7162841.006 212.11721 522.75745 238.01160 0.0002923007 31.78702 322.009 0.017539 898.138 276.025 0.00263328037 0.00461204932 0.0000934149 0.0000555483 7266175.975 6577392.929 7127594.722 214.42089 510.55329 236.74273 0.0002929632 36.09754 323.001 0.017593 897.103 275.849 0.00262291666 0.00465677079 0.0000933166 0.0000562945 7236857.604 6548949.277 7092859.646 216.73974 498.26303 235.49227 0.0002936111 40.28492 324.010 0.017648 896.065 275.674 0.00261213577 0.00470202423 0.0000932032 0.0000570528 7207532.206 6520582.267 7058008.517 219.11703 485.65934 234.23763 0.0002942560 44.42324 325.002 0.017702 895.062 275.508 0.00260133309 0.00474615921 0.0000930789 0.0000577951 7179263.516 6493319.673 7024310.158 221.46619 473.20315 233.02449 0.0002948740 48.36204 326.012 0.017757 894.056 275.343 0.00259011198 0.00479080553 0.0000929391 0.0000585489 7151001.833 6466147.948 6990517.876 223.87409 460.43578 231.80796 0.0002954880 52.24721 327.003 0.017811 893.084 275.186 0.00257888379 0.00483433515 0.0000927889 0.0000592865 7123772.203 6440051.461 6957861.702 226.25302 447.82402 230.63234 0.0002960754 55.93754 328.013 0.017866 892.111 275.031 0.00256723608 0.00487835578 0.0000926229 0.0000600350 7096563.407 6414059.926 6925133.264 228.69092 434.90337 229.45412 0.0002966578 59.56979 329.004 0.017920 891.170 274.884 0.00255559571 0.00492126240 0.0000924471 0.0000607668 7070362.205 6389114.868 6893523.644 231.09897 422.14615 228.31617 0.0002972139 63.01196 330.014 0.017975 890.229 274.738 0.00254353492 0.00496463994 0.0000922550 0.0000615090 7044195.469 6364288.730 6861862.975 233.56616 409.08240 227.17639 0.0002977640 66.39166 331.006 0.018029 889.320 274.600 0.00253149555 0.00500690704 0.0000920537 0.0000622343 7019012.073 6340480.747 6831303.277 236.00257 396.18959 226.07624 0.0002982880 69.58612 332.015 0.018084 888.411 274.464 0.00251903505 0.00504962519 0.0000918358 0.0000629694 6993876.599 6316805.568 6800713.336 238.49822 382.99267 224.97500 0.0002988052 72.71381 333.007 0.018138 887.534 274.336 0.00250660976 0.00509123726 0.0000916093 0.0000636872 6969700.435 6294120.672 6771206.022 240.96213 369.97391 223.91274 0.0002992966 75.66115 334.017 0.018193 886.658 274.209 0.00249376278 0.00513328073 0.0000913659 0.0000644142 6945585.484 6271582.408 6741688.893 243.48530 356.65355 222.85012 0.0002997801 78.53751 335.008 0.018247 885.813 274.089 0.00248096448 0.00517422323 0.0000911145 0.0000651237 6922406.045 6250007.018 6713235.617 245.97573 343.51828 221.82580 0.0003002382 81.23848 336.018 0.018302 884.969 273.972 0.00246774412 0.00521557764 0.0000908459 0.0000658417 6899300.962 6228592.057 6684792.604 248.52538 330.08397 220.80186 0.0003006876 83.86432 337.009 0.018356 884.157 273.862 0.00245458560 0.00525583685 0.0000905698 0.0000665420 6877107.838 6208113.030 6657394.295 251.04126 316.84143 219.81552 0.0003011118 86.31978 338.001 0.018410 883.360 273.756 0.00244125331 0.00529575271 0.0000902817 0.0000672374 6855399.526 6188172.428 6630518.773 253.56933 303.54909 218.84800 0.0003015191 88.65397 339.011 0.018465 882.565 273.653 0.00242749870 0.00533605163 0.0000899759 0.0000679404 6833784.975 6168412.871 6603682.956 256.15642 289.96170 217.88191 0.0003019163 90.90699 340.002 0.018519 881.801 273.556 0.00241382504 0.00537526514 0.0000896637 0.0000686253 6813047.638 6149549.848 6577862.623 258.70814 276.57554 216.95238 0.0003022890 92.99720 341.012 0.018574 881.039 273.462 0.00239972910 0.00541484253 0.0000893336 0.0000693172 6792416.892 6130881.676 6552101.333 261.31868 262.89709 216.02497 0.0003026508 95.00229 342.003 0.018628 880.307 273.374 0.00238572653 0.00545334174 0.0000889976 0.0000699908 6772640.456 6113084.283 6527335.674 263.89276 249.42590 215.13341 0.0003029885 96.84966 343.013 0.018683 879.577 273.289 0.00237130186 0.00549218576 0.0000886436 0.0000706708 6752983.339 6095495.582 6502648.150 266.52537 235.66524 214.24465 0.0003033143 98.60806 344.004 0.018737 878.878 273.210 0.00235698267 0.00552995931 0.0000882843 0.0000713322 6734157.900 6078752.375 6478936.203 269.12040 222.11764 213.39102 0.0003036165 100.21386 345.014 0.018792 878.181 273.134 0.00234224175 0.00556805865 0.0000879067 0.0000719994 6715464.419 6062231.755 6455321.270 271.77360 208.28351 212.54089 0.0003039061 101.72689 346.006 0.018846 877.514 273.064 0.00232761814 0.00560509568 0.0000875245 0.0000726479 6697580.263 6046531.812 6432661.702 274.38809 194.66799 211.72514 0.0003041724 103.09249 347.016 0.018901 876.851 272.997 0.00231257330 0.00564243949 0.0000871238 0.0000733015 6679840.628 6031068.412 6410117.839 277.06031 180.76894 210.91356 0.0003044253 104.36159 348.007 0.018955 876.216 272.936 0.00229765732 0.00567872956 0.0000867193 0.0000739363 6662888.248 6016401.334 6388509.016 279.69269 167.09385 210.13565 0.0003046555 105.48843 349.017 0.019010 875.585 272.879 0.00228232080 0.00571530739 0.0000862960 0.0000745755 6646092.887 6001984.832 6367034.429 282.38229 153.13835 209.36256 0.0003048715 106.51514 350.008 0.019064 874.983 272.826 0.00226712440 0.00575084041 0.0000858695 0.0000751957 6630063.000 5988340.749 6346474.480 285.03090 139.41193 208.62240 0.0003050652 107.40477 351.018 0.019119 874.385 272.778 0.00225150831 0.00578664213 0.0000854242 0.0000758197 6614202.577 5974961.363 6326067.168 287.73615 125.40830 207.88774 0.0003052439 108.19069 352.009 0.019173 873.815 272.734 0.00223604332 0.00582140827 0.0000849763 0.0000764247 6599086.138 5962330.935 6306554.050 290.39923 111.63870 207.18527 0.0003054010 108.84473 353.001 0.019227 873.261 272.695 0.00222044963 0.00585579092 0.0000845180 0.0000770218 6584418.962 5950199.387 6287558.752 293.06882 97.85069 206.50144 0.0003055399 109.38268 354.011 0.019282 872.713 272.660 0.00220443783 0.00589041366 0.0000840407 0.0000776218 6569939.793 5938353.833 6268743.426 295.79407 83.79046 205.82408 0.0003056625 109.81170 355.002 0.019336 872.191 272.630 0.00218859307 0.00592401512 0.0000835619 0.0000782025 6556173.023 5927222.955 6250791.715 298.47539 69.97128 205.17782 0.0003057644 110.11664 356.012 0.019391 871.676 272.604 0.00217233148 0.00595783740 0.0000830639 0.0000787854 6542606.632 5916392.445 6233038.177 301.21161 55.88336 204.53870 0.0003058493 110.30924 357.003 0.019445 871.187 272.583 0.00215624727 0.00599064825 0.0000825651 0.0000793491 6529731.892 5906254.201 6216127.844 303.90274 42.04095 203.92992 0.0003059142 110.38298 358.013 0.019500 870.705 272.566 0.00213974767 0.00602366050 0.0000820470 0.0000799143 6517069.897 5896430.811 6199433.853 306.64793 27.93341 203.32894 0.0003059613 110.34104 359.005 0.019554 870.248 272.553 0.00212343554 0.00605567135 0.0000815288 0.0000804602 6505079.105 5887277.677 6183562.724 309.34685 14.07569 202.75758 0.0003059890 110.18545 360.014 0.019609 869.798 272.545 0.00210670965 0.00608786401 0.0000809914 0.0000810069 6493313.430 5878454.000 6167926.103 312.09892 -0.04344 202.19466 0.0003059983 109.91093 Engine speed (Hz) = 51.0000000000 Output power (W) = 5605.1477610211 Heat into heater (W) = 15917.0450423386 Heat to regenerator (W) = -2.2151865211 Heat removal from cooler (W) = 10311.9277103824 Approximate Pumping loss (W) = -8152.5586909259 Thermal efficiency (%) = 35.2147508920 The average engine pressure (Pa) = 8490484.7721725553 The exp space work per cycle (J) = 312.0248338504 The comp space work per cycle (J) = -202.1199757912 The net work per cycle (J) = 109.9048580592 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -973.2847456933 The expansion work for Vmin-to-Vmax (J) = 1083.1896037526 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 0.000001 870.881 272.607 0.00210940072 0.00608005308 0.0000809922 0.0000810061 6509635.079 5872310.470 6173102.179 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.005 0.000054 870.460 272.605 0.00209287110 0.00611133762 0.0000804548 0.0000815340 6498621.932 5864270.984 6158185.226 2.68970 -13.87763 -0.53701 0.0003059888 -0.39509 2.016 0.000108 870.048 272.608 0.00207592209 0.00614279783 0.0000798980 0.0000820622 6487842.445 5856576.034 6143514.667 5.43226 -28.01901 -1.06515 0.0003059602 -0.91297 3.008 0.000161 869.660 272.615 0.00205918428 0.00617326608 0.0000793426 0.0000825710 6477693.977 5849509.047 6129633.434 8.12555 -41.89839 -1.56487 0.0003059135 -1.53395 4.000 0.000214 869.288 272.626 0.00204234758 0.00620332638 0.0000787784 0.0000830700 6467971.054 5842921.485 6116264.618 10.81981 -55.77573 -2.04615 0.0003058484 -2.26606 5.011 0.000268 868.924 272.642 0.00202509438 0.00623353176 0.0000781947 0.0000835684 6458500.515 5836701.225 6103170.196 13.56532 -69.91079 -2.51755 0.0003057631 -3.12574 6.003 0.000321 868.584 272.663 0.00200806652 0.00626276100 0.0000776134 0.0000840475 6449631.372 5831077.243 6090834.807 16.25985 -83.77808 -2.96163 0.0003056609 -4.08062 7.014 0.000375 868.253 272.688 0.00199062436 0.00629211450 0.0000770127 0.0000845251 6441027.194 5825835.934 6078792.656 19.00447 -97.89887 -3.39514 0.0003055379 -5.16618 8.006 0.000428 867.945 272.717 0.00197341674 0.00632050252 0.0000764151 0.0000849836 6433005.003 5821170.124 6067489.480 21.69694 -111.74819 -3.80206 0.0003053986 -6.34167 9.017 0.000482 867.647 272.751 0.00195579721 0.00634899362 0.0000757980 0.0000854400 6425260.428 5816902.468 6056498.517 24.43828 -125.84661 -4.19773 0.0003052380 -7.65087 10.009 0.000535 867.370 272.789 0.00193842119 0.00637652991 0.0000751847 0.0000858772 6418078.756 5813189.833 6046226.655 27.12634 -139.66997 -4.56752 0.0003050619 -9.04475 11.002 0.000588 867.109 272.831 0.00192096599 0.00640364033 0.0000745639 0.0000863038 6411311.164 5809947.601 6036465.409 29.81131 -153.47751 -4.91892 0.0003048677 -10.54596 12.012 0.000642 866.859 272.878 0.00190310291 0.00643082143 0.0000739238 0.0000867273 6404840.282 5807126.868 6027045.058 32.54313 -167.52723 -5.25806 0.0003046512 -12.18531 13.005 0.000695 866.630 272.929 0.00188549638 0.00645706370 0.0000732885 0.0000871320 6398904.389 5804831.046 6018314.474 35.22001 -181.29676 -5.57236 0.0003044204 -13.90149 14.016 0.000749 866.413 272.986 0.00186748495 0.00648335446 0.0000726340 0.0000875329 6393278.129 5802972.451 6009944.224 37.94230 -195.30360 -5.87369 0.0003041669 -15.75867 15.008 0.000802 866.215 273.046 0.00184973858 0.00650871702 0.0000719849 0.0000879150 6388168.616 5801618.936 6002244.400 40.60853 -209.02694 -6.15088 0.0003039000 -17.68747 16.019 0.000856 866.030 273.111 0.00183159052 0.00653410537 0.0000713169 0.0000882928 6383381.809 5800718.452 5994924.593 43.31867 -222.98251 -6.41439 0.0003036097 -19.76007 17.011 0.000909 865.864 273.179 0.00181371581 0.00655857612 0.0000706548 0.0000886520 6379093.864 5800303.433 5988256.116 45.97167 -236.65137 -6.65446 0.0003033069 -21.89908 18.003 0.000962 865.713 273.252 0.00179578183 0.00658260046 0.0000699866 0.0000889998 6375211.248 5800351.942 5982098.873 48.61712 -250.29014 -6.87612 0.0003029864 -24.14131 19.014 0.001016 865.576 273.331 0.00177745147 0.00660661565 0.0000692997 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0.0000920567 0.0000382562 8105357.315 7396033.817 8077344.995 163.25426 764.13104 273.29024 0.0002743130 -99.55506 300.001 0.016026 925.660 281.257 0.00280018411 0.00355095359 0.0000922580 0.0000389821 8063363.612 7353005.275 8031606.791 165.21882 754.61075 271.64366 0.0002752401 -92.57265 301.012 0.016080 924.277 280.953 0.00279550989 0.00360129877 0.0000924500 0.0000397251 8021174.502 7309857.934 7985434.270 167.23418 744.75376 269.98145 0.0002761752 -85.57776 302.004 0.016133 922.934 280.661 0.00279062540 0.00365058498 0.0000926258 0.0000404576 7980350.101 7268186.563 7940544.927 169.22594 734.92852 268.36544 0.0002770834 -78.83016 303.015 0.016187 921.579 280.370 0.00278534973 0.00370066157 0.0000927918 0.0000412069 7939347.382 7226415.266 7895251.999 171.26948 724.76771 266.73489 0.0002779987 -72.07590 304.007 0.016240 920.264 280.091 0.00277988162 0.00374966396 0.0000929418 0.0000419451 7899682.552 7186087.774 7851239.619 173.28933 714.65098 265.15044 0.0002788869 -65.56577 305.018 0.016294 918.939 279.813 0.00277401819 0.00379943149 0.0000930815 0.0000426997 7859856.348 7145678.799 7806853.355 175.36191 704.19993 263.55254 0.0002797812 -59.05468 306.010 0.016347 917.653 279.546 0.00276798000 0.00384811169 0.0000932056 0.0000434427 7821341.391 7106681.494 7763743.059 177.41064 693.80488 262.00057 0.0002806483 -52.78434 307.002 0.016400 916.382 279.286 0.00276166448 0.00389661887 0.0000933169 0.0000441877 7783392.382 7068337.841 7721088.054 179.47393 683.27677 260.46499 0.0002815046 -46.63355 308.013 0.016454 915.101 279.026 0.00275494805 0.00394585453 0.0000934170 0.0000449486 7745306.916 7029939.317 7678101.871 181.59127 672.41641 258.91749 0.0002823656 -40.49014 309.005 0.016507 913.859 278.777 0.00274808290 0.00399398678 0.0000935021 0.0000456970 7708493.089 6992904.426 7636381.570 183.68437 661.62917 257.41556 0.0002831991 -34.58209 310.016 0.016561 912.609 278.529 0.00274081348 0.00404282366 0.0000935755 0.0000464610 7671559.137 6955831.810 7594357.611 185.83234 650.51117 255.90269 0.0002840365 -28.68685 311.008 0.016614 911.396 278.292 0.00273341247 0.00409054859 0.0000936345 0.0000472119 7635870.463 6920090.757 7553590.854 187.95573 639.47727 254.43509 0.0002848464 -23.02315 312.000 0.016667 910.199 278.059 0.00272575114 0.00413806042 0.0000936804 0.0000479638 7600735.337 6884984.928 7513302.719 190.09424 628.32571 252.98472 0.0002856442 -17.48101 313.011 0.016721 908.994 277.829 0.00271768102 0.00418624209 0.0000937138 0.0000487305 7565503.979 6849866.112 7472750.661 192.28874 616.84579 251.52484 0.0002864443 -11.95961 314.004 0.016774 907.827 277.607 0.00270950443 0.00423330204 0.0000937334 0.0000494835 7531478.664 6816031.118 7433440.268 194.45799 605.46566 250.10967 0.0002872169 -6.66375 315.014 0.016828 906.653 277.387 0.00270091636 0.00428100913 0.0000937400 0.0000502510 7497372.740 6782199.143 7393891.645 196.68389 593.75888 248.68592 0.0002879910 -1.39382 316.007 0.016881 905.516 277.177 0.00269223829 0.00432758983 0.0000937333 0.0000510042 7464446.758 6749619.292 7355572.760 198.88402 582.16193 247.30644 0.0002887375 3.65478 317.017 0.016935 904.373 276.968 0.00268314627 0.00437479537 0.0000937130 0.0000517714 7431455.512 6717058.095 7317040.683 201.14141 570.24011 245.91928 0.0002894844 8.67236 318.010 0.016988 903.267 276.768 0.00267398043 0.00442087124 0.0000936800 0.0000525239 7399618.231 6685717.570 7279725.309 203.37244 558.43779 244.57593 0.0002902039 13.47293 319.002 0.017041 902.176 276.573 0.00266457805 0.00446668808 0.0000936339 0.0000532758 7368316.236 6654985.048 7242910.943 205.61875 546.53791 243.25061 0.0002909097 18.15043 320.013 0.017095 901.080 276.379 0.00265475843 0.00451309713 0.0000935736 0.0000540409 7336971.422 6624293.964 7205919.681 207.92311 534.31597 241.91893 0.0002916145 22.78951 321.005 0.017148 900.020 276.194 0.00264488865 0.00455837396 0.0000935013 0.0000547906 7306742.000 6594777.092 7170123.784 210.20011 522.22735 240.63027 0.0002922920 27.21826 322.016 0.017202 898.956 276.011 0.00263459973 0.00460422161 0.0000934143 0.0000555532 7276484.453 6565316.570 7134174.555 212.53562 509.81864 239.33610 0.0002929675 31.60374 323.008 0.017255 897.927 275.836 0.00262427608 0.00464893680 0.0000933158 0.0000563000 7247316.706 6536999.628 7099405.318 214.84303 497.55206 238.08441 0.0002936158 35.78349 324.000 0.017308 896.914 275.666 0.00261373260 0.00469336623 0.0000932044 0.0000570449 7218670.783 6509271.275 7065147.235 217.16537 485.20126 236.85112 0.0002942494 39.83987 325.011 0.017362 895.898 275.498 0.00260276747 0.00473833509 0.0000930777 0.0000578019 7190018.268 6481621.179 7030770.074 219.54675 472.53343 235.61354 0.0002948796 43.84593 326.003 0.017415 894.916 275.337 0.00259179014 0.00478217314 0.0000929403 0.0000585425 7162417.631 6455069.604 6997548.473 221.89885 460.02031 234.41756 0.0002954828 47.65331 327.014 0.017469 893.931 275.179 0.00258038975 0.00482652998 0.0000927872 0.0000592945 7134824.531 6428610.734 6964230.093 224.31028 447.19232 233.21810 0.0002960817 51.40574 328.006 0.017522 892.981 275.028 0.00256899182 0.00486975835 0.0000926241 0.0000600299 7108258.201 6403220.789 6932050.085 226.69157 434.52705 232.05962 0.0002966539 54.96432 329.017 0.017576 892.029 274.879 0.00255716960 0.00491348513 0.0000924447 0.0000607761 7081713.335 6377937.870 6899795.146 229.13240 421.54911 230.89844 0.0002972209 58.46343 330.009 0.017629 891.111 274.738 0.00254536421 0.00495608667 0.0000922560 0.0000615053 7056170.351 6353694.734 6868660.792 231.54218 408.74162 229.77761 0.0002977613 61.77358 331.001 0.017682 890.208 274.601 0.00253336181 0.00499837171 0.0000920546 0.0000622312 7031130.210 6330014.270 6838045.587 233.96579 395.86727 228.67546 0.0002982858 64.96086 332.012 0.017736 889.305 274.467 0.00252093363 0.00504112510 0.0000918365 0.0000629670 7006132.016 6306462.085 6807387.348 236.44913 382.68371 227.57176 0.0002988036 68.08205 333.004 0.017789 888.434 274.339 0.00250854316 0.00508275963 0.0000916099 0.0000636854 6982098.922 6283906.985 6777822.128 238.90001 369.68155 226.50742 0.0002992953 71.02173 334.015 0.017843 887.563 274.214 0.00249572612 0.00512484266 0.0000913663 0.0000644132 6958121.261 6261494.305 6748234.732 241.41066 356.37257 225.44227 0.0002997794 73.89102 335.007 0.017896 886.724 274.096 0.00248296039 0.00516581203 0.0000911147 0.0000651232 6935084.413 6240050.761 6719721.361 243.88785 343.25199 224.41579 0.0003002379 76.58383 336.018 0.017950 885.886 273.981 0.00246976749 0.00520721021 0.0000908458 0.0000658420 6912116.331 6218763.750 6691206.329 246.42479 329.82705 223.38925 0.0003006877 79.20201 337.010 0.018003 885.079 273.872 0.00245663918 0.00524750060 0.0000905695 0.0000665427 6890065.033 6198418.414 6663745.948 248.92723 316.59724 222.40067 0.0003011123 81.64882 338.003 0.018056 884.288 273.767 0.00244333593 0.00528744981 0.0000902812 0.0000672386 6868497.983 6178612.258 6636807.365 251.44177 303.31666 221.43088 0.0003015198 83.97413 339.013 0.018110 883.499 273.666 0.00242960492 0.00532779865 0.0000899751 0.0000679424 6847019.381 6158983.735 6609897.217 254.01588 289.73555 220.46212 0.0003019175 86.21862 340.006 0.018163 882.741 273.570 0.00241595780 0.00536704965 0.0000896626 0.0000686278 6826422.133 6140256.746 6584012.160 256.55392 276.35913 219.53026 0.0003022903 88.29944 341.016 0.018217 881.984 273.478 0.00240188274 0.00540668089 0.0000893320 0.0000693204 6805926.343 6121721.524 6558175.321 259.15132 262.68486 218.60013 0.0003026525 90.29541 342.009 0.018270 881.258 273.392 0.00238790410 0.00544522162 0.0000889958 0.0000699945 6786288.558 6104061.607 6533343.484 261.71156 249.22136 217.70618 0.0003029902 92.13289 343.001 0.018323 880.548 273.310 0.00237376580 0.00548340625 0.0000886479 0.0000706626 6767122.247 6086925.923 6509033.079 264.28229 235.71791 216.83101 0.0003033105 93.85030 344.012 0.018377 879.840 273.231 0.00235919960 0.00552194226 0.0000882816 0.0000713370 6748076.650 6070003.217 6484800.028 266.91194 221.92076 215.95862 0.0003036186 95.47695 345.004 0.018430 879.162 273.158 0.00234474802 0.00555939964 0.0000879106 0.0000719925 6729854.675 6053917.506 6461541.568 269.50277 208.34304 215.12131 0.0003039032 96.95295 346.015 0.018484 878.488 273.089 0.00232986880 0.00559718914 0.0000875210 0.0000726538 6711766.178 6038059.031 6438379.692 272.15214 194.47450 214.28749 0.0003041748 98.33433 347.007 0.018537 877.842 273.025 0.00231511601 0.00563390849 0.0000871273 0.0000732959 6694478.671 6023012.529 6416171.888 274.76155 180.83090 213.48801 0.0003044232 99.57031 348.018 0.018591 877.201 272.964 0.00229993599 0.00567094070 0.0000867148 0.0000739431 6677337.329 6008207.597 6394079.724 277.42905 166.89948 212.69269 0.0003046579 100.70791 349.010 0.018644 876.587 272.909 0.00228489392 0.00570691164 0.0000862989 0.0000745712 6660974.639 5994190.086 6372921.010 280.05544 153.19827 211.93097 0.0003048701 101.70537 350.002 0.018697 875.990 272.859 0.00226971296 0.00574250811 0.0000858722 0.0000751919 6645066.532 5980678.645 6352281.295 282.68962 139.47157 211.18795 0.0003050641 102.58528 351.013 0.018751 875.398 272.812 0.00225410571 0.00577838856 0.0000854264 0.0000758166 6629323.441 5967430.368 6331785.458 285.38107 125.46172 210.45010 0.0003052431 103.36128 352.005 0.018804 874.832 272.770 0.00223865314 0.00581322162 0.0000849783 0.0000764221 6614326.155 5954933.654 6312192.126 288.02968 111.68962 209.74474 0.0003054004 104.00506 353.016 0.018858 874.273 272.732 0.00222277513 0.00584831926 0.0000845110 0.0000770309 6599506.429 5942714.664 6292761.425 290.73492 97.63762 209.04523 0.0003055418 104.54135 354.008 0.018911 873.740 272.700 0.00220706265 0.00588237916 0.0000840419 0.0000776203 6585410.919 5931223.813 6274212.511 293.39616 83.82817 208.37747 0.0003056622 104.95072 355.000 0.018964 873.223 272.671 0.00219122575 0.00591605251 0.0000835628 0.0000782015 6571758.815 5920228.075 6256180.177 296.06295 70.00317 207.72830 0.0003057642 105.24463 356.011 0.019018 872.713 272.647 0.00217496500 0.00594996124 0.0000830643 0.0000787850 6558302.964 5909532.036 6238338.387 298.78530 55.90337 207.08600 0.0003058493 105.42579 357.003 0.019071 872.229 272.627 0.00215888553 0.00598284708 0.0000825651 0.0000793491 6545539.615 5899529.901 6221347.444 301.46188 42.05295 206.47433 0.0003059142 105.48797 358.014 0.019125 871.751 272.612 0.00214238352 0.00601594857 0.0000820465 0.0000799149 6532984.997 5889842.302 6204565.667 304.19319 27.93127 205.87018 0.0003059613 105.43398 359.006 0.019178 871.299 272.601 0.00212607302 0.00604803736 0.0000815279 0.0000804612 6521102.054 5880826.222 6188614.113 306.87756 14.06334 205.29593 0.0003059890 105.26631 360.017 0.019232 870.854 272.595 0.00210934145 0.00608032188 0.0000809898 0.0000810084 6509440.317 5872139.634 6172890.347 309.61577 -0.07215 204.72987 0.0003059983 104.97912 Engine speed (Hz) = 52.0000000000 Output power (W) = 5458.5802372134 Heat into heater (W) = 16100.0198701099 Heat to regenerator (W) = -3.7520417742 Heat removal from cooler (W) = 10645.9532925533 Approximate Pumping loss (W) = -8602.2062238420 Thermal efficiency (%) = 33.9041832324 The average engine pressure (Pa) = 8492533.7803635225 The exp space work per cycle (J) = 309.5679898336 The comp space work per cycle (J) = -204.5952929641 The net work per cycle (J) = 104.9726968695 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -975.8153038548 The expansion work for Vmin-to-Vmax (J) = 1080.7880007242 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 871.953 272.656 0.00211224994 0.00607204179 0.0000809968 0.0000810015 6526082.305 5865946.660 6178320.944 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.016 0.000053 871.530 272.656 0.00209541437 0.00610398755 0.0000804491 0.0000815395 6514975.791 5857898.667 6163044.814 2.72432 -14.14624 -0.54994 0.0003059886 -0.41516 2.008 0.000105 871.130 272.660 0.00207878950 0.00613492560 0.0000799026 0.0000820579 6504509.522 5850489.364 6148574.441 5.39931 -28.02853 -1.07087 0.0003059605 -0.93578 3.019 0.000158 870.739 272.669 0.00206173882 0.00616604336 0.0000793365 0.0000825764 6494278.947 5843432.168 6134352.880 8.12730 -42.17880 -1.58285 0.0003059129 -1.58138 4.011 0.000210 870.372 272.682 0.00204490858 0.00619616408 0.0000787722 0.0000830754 6484668.214 5836991.879 6120916.439 10.80480 -56.06110 -2.06656 0.0003058476 -2.32706 5.003 0.000262 870.020 272.700 0.00202798085 0.00622587631 0.0000781993 0.0000835645 6475478.381 5831029.295 6107991.541 13.48274 -69.94047 -2.53186 0.0003057639 -3.18343 6.015 0.000315 869.677 272.722 0.00201063014 0.00625573700 0.0000776068 0.0000840528 6466543.082 5825442.196 6095344.177 16.21204 -84.08173 -2.98716 0.0003056596 -4.16962 7.007 0.000367 869.357 272.749 0.00199351403 0.00628461675 0.0000770173 0.0000845216 6458197.720 5820440.075 6083451.344 18.88915 -97.94927 -3.41531 0.0003055389 -5.24787 8.018 0.000420 869.047 272.780 0.00197597712 0.00631362365 0.0000764081 0.0000849888 6450119.546 5815829.218 6071855.392 21.61643 -112.07442 -3.83276 0.0003053969 -6.45910 9.010 0.000472 868.758 272.816 0.00195868402 0.00634166043 0.0000758024 0.0000854367 6442611.715 5811782.382 6060993.719 24.29038 -125.92216 -4.22378 0.0003052392 -7.75704 10.002 0.000524 868.485 272.855 0.00194130748 0.00636927577 0.0000751892 0.0000858741 6435516.215 5808206.847 6050642.483 26.96188 -139.75713 -4.59642 0.0003050633 -9.16296 11.013 0.000577 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790.11987 280.89350 0.0002714589 -125.67353 297.004 0.015566 930.534 282.159 0.00281237422 0.00339469005 0.0000916118 0.0000368004 8198524.810 7470058.128 8177262.443 157.72643 781.11995 279.20571 0.0002724122 -118.35458 298.015 0.015619 929.112 281.834 0.00280866631 0.00344526779 0.0000918426 0.0000375326 8154665.202 7424889.598 8129877.883 159.69430 771.77953 277.49986 0.0002733752 -111.01186 299.007 0.015671 927.731 281.523 0.00280472275 0.00349479982 0.0000920564 0.0000382549 8112227.460 7381265.679 8083788.763 161.63774 762.45453 275.84065 0.0002743113 -103.92328 300.018 0.015724 926.338 281.213 0.00280039508 0.00354517955 0.0000922614 0.0000389948 8069576.520 7337504.714 8037230.960 163.63179 752.78978 274.16457 0.0002752561 -96.81701 301.010 0.015776 924.985 280.915 0.00279584978 0.00359449490 0.0000924498 0.0000397241 8028319.160 7295254.427 7991969.228 165.60145 743.15337 272.53515 0.0002761739 -89.96194 302.003 0.015828 923.647 280.624 0.00279101127 0.00364368706 0.0000926255 0.0000404565 7987642.417 7253679.050 7947128.497 167.58445 733.36774 270.92088 0.0002770821 -83.22357 303.014 0.015881 922.297 280.333 0.00278578129 0.00369368803 0.0000927916 0.0000412061 7946778.242 7211994.979 7901865.824 169.61956 723.24374 269.29143 0.0002779977 -76.47637 304.006 0.015933 920.987 280.055 0.00278036049 0.00374260114 0.0000929416 0.0000419443 7907266.083 7171771.572 7857895.876 171.63018 713.16669 267.70851 0.0002788859 -69.97557 305.017 0.015986 919.667 279.778 0.00277454380 0.00379229788 0.0000930814 0.0000426992 7867583.584 7131458.021 7813533.943 173.69385 702.75234 266.11148 0.0002797806 -63.47174 306.009 0.016038 918.387 279.512 0.00276855402 0.00384089369 0.0000932056 0.0000434421 7829225.609 7092571.884 7770459.999 175.73288 692.39691 264.56082 0.0002806477 -57.21085 307.002 0.016090 917.121 279.252 0.00276228743 0.00388931900 0.0000933168 0.0000441871 7791435.372 7054342.455 7727838.292 177.78623 681.90835 263.02644 0.0002815040 -51.06953 308.013 0.016143 915.846 278.994 0.00275561891 0.00393849133 0.0000934169 0.0000449483 7753499.959 7016049.738 7684867.704 179.89396 671.08430 261.47950 0.0002823653 -44.93363 309.005 0.016195 914.610 278.746 0.00274880346 0.00398654681 0.0000935021 0.0000456968 7716848.268 6979134.884 7643174.773 181.97667 660.33631 259.97855 0.0002831988 -39.03515 310.016 0.016248 913.365 278.499 0.00274158241 0.00403532548 0.0000935755 0.0000464610 7680067.910 6942174.090 7601160.765 184.11457 649.25416 258.46605 0.0002840365 -33.14761 311.008 0.016300 912.158 278.262 0.00273423164 0.00408297884 0.0000936345 0.0000472119 7644544.162 6906558.159 7560415.563 186.22711 638.25907 256.99922 0.0002848464 -27.49356 312.000 0.016352 910.967 278.031 0.00272662079 0.00413042176 0.0000936804 0.0000479638 7609575.043 6871579.612 7520146.060 188.35456 627.14609 255.54952 0.0002856442 -21.96109 313.012 0.016405 909.768 277.801 0.00271859938 0.00417855307 0.0000937138 0.0000487308 7574501.423 6836580.204 7479595.663 190.53833 615.70109 254.08970 0.0002864446 -16.44764 314.004 0.016457 908.607 277.581 0.00271047350 0.00422554947 0.0000937334 0.0000494838 7540644.121 6802876.634 7440298.271 192.69608 604.35889 252.67500 0.0002872172 -11.16154 315.015 0.016510 907.439 277.363 0.00270193408 0.00427321152 0.0000937400 0.0000502515 7506698.133 6769168.460 7400745.995 194.91084 592.68623 251.25111 0.0002879915 -5.89972 316.007 0.016562 906.308 277.153 0.00269330672 0.00431973409 0.0000937333 0.0000510047 7473941.692 6736723.625 7362434.614 197.09905 581.12644 249.87190 0.0002887380 -0.86098 317.019 0.016615 905.171 276.946 0.00268426307 0.00436689997 0.0000937130 0.0000517722 7441112.102 6704290.079 7323893.719 199.34488 569.23782 248.48443 0.0002894852 4.14830 318.011 0.016667 904.071 276.747 0.00267514776 0.00441292318 0.0000936800 0.0000525247 7409445.443 6673087.664 7286580.501 201.56359 557.47178 247.14116 0.0002902047 8.93893 319.003 0.016719 902.987 276.553 0.00266579577 0.00445869015 0.0000936339 0.0000532766 7378314.352 6642494.504 7249765.609 203.79737 545.60770 245.81582 0.0002909105 13.60648 320.014 0.016772 901.897 276.361 0.00265602381 0.00450506770 0.0000935735 0.0000540420 7347132.853 6611935.830 7212758.012 206.08958 533.41738 244.48355 0.0002916155 18.23700 321.006 0.016824 900.844 276.177 0.00264620395 0.00455030019 0.0000935012 0.0000547917 7317074.803 6582560.762 7176956.480 208.35368 521.36350 243.19469 0.0002922929 22.65569 322.017 0.016877 899.786 275.995 0.00263596192 0.00459612180 0.0000934141 0.0000555545 7286981.240 6553235.372 7140986.165 210.67667 508.98519 241.89976 0.0002929686 27.03244 323.010 0.016929 898.764 275.822 0.00262568752 0.00464079820 0.0000933156 0.0000563013 7257984.956 6525062.290 7106206.352 212.97081 496.75219 240.64769 0.0002936169 31.20203 324.002 0.016981 897.757 275.653 0.00261519293 0.00468519165 0.0000932042 0.0000570463 7229510.312 6497478.579 7071935.221 215.27969 484.43434 239.41393 0.0002942505 35.24824 325.013 0.017034 896.747 275.486 0.00260427327 0.00473014268 0.0000930774 0.0000578035 7201021.990 6469966.890 7037530.115 217.64802 471.79494 238.17534 0.0002948809 39.24529 326.005 0.017086 895.772 275.327 0.00259334390 0.00477395030 0.0000929400 0.0000585441 7173592.200 6443561.511 7004290.797 219.98632 459.31346 236.97873 0.0002954841 43.04238 327.016 0.017139 894.794 275.170 0.00258198778 0.00481829475 0.0000927868 0.0000592964 7146163.061 6417242.899 6970940.185 222.38438 446.51242 235.77811 0.0002960832 46.78561 328.009 0.017191 893.851 275.021 0.00257063671 0.00486149822 0.0000926236 0.0000600318 7119766.820 6392000.406 6938737.979 224.75154 433.87737 234.61883 0.0002966554 50.33379 329.001 0.017243 892.923 274.876 0.00255908159 0.00490439608 0.0000924477 0.0000607642 7093878.257 6367328.209 6907051.028 227.13275 421.16992 233.47810 0.0002972119 53.75882 330.012 0.017296 891.993 274.734 0.00254709759 0.00494780017 0.0000922554 0.0000615075 7068011.396 6342764.618 6875285.883 229.57402 408.14606 232.33455 0.0002977629 57.12311 331.004 0.017348 891.097 274.599 0.00253514013 0.00499006859 0.0000920540 0.0000622333 7043139.552 6319232.901 6844642.053 231.98305 395.29966 231.23137 0.0002982873 60.29984 332.015 0.017401 890.200 274.466 0.00252275256 0.00503282305 0.0000918358 0.0000629694 7018303.258 6295824.296 6813941.663 234.45227 382.13906 230.12616 0.0002988052 63.41132 333.008 0.017453 889.336 274.340 0.00251040553 0.00507444640 0.0000916092 0.0000636877 6994436.962 6273418.597 6784343.832 236.88828 369.16321 229.06064 0.0002992969 66.34032 334.019 0.017506 888.472 274.217 0.00249762738 0.00511653578 0.0000913654 0.0000644157 6970619.896 6251150.466 6754710.709 239.38454 355.87545 227.99384 0.0002997811 69.19967 335.011 0.017558 887.640 274.100 0.00248490344 0.00515749935 0.0000911138 0.0000651257 6947748.072 6229856.780 6726160.945 241.84660 342.77948 226.96605 0.0003002395 71.88166 336.003 0.017610 886.823 273.988 0.00247199750 0.00519813099 0.0000908499 0.0000658312 6925364.681 6209108.770 6698130.765 244.32119 329.62740 225.95697 0.0003006811 74.44164 337.014 0.017663 886.008 273.879 0.00245865924 0.00523919901 0.0000905684 0.0000665455 6903050.688 6188519.906 6670096.469 246.85597 316.16696 224.94773 0.0003011139 76.92552 338.007 0.017715 885.224 273.776 0.00244539510 0.00527915040 0.0000902800 0.0000672414 6881645.431 6168863.884 6643116.130 249.35502 302.90832 223.97644 0.0003015214 79.23982 339.018 0.017768 884.441 273.676 0.00243169807 0.00531951851 0.0000899737 0.0000679454 6860322.884 6149381.445 6616152.149 251.91415 289.34380 223.00574 0.0003019191 81.47381 340.010 0.017820 883.689 273.583 0.00241808809 0.00535877689 0.0000896612 0.0000686307 6839885.011 6130804.664 6590222.072 254.43649 275.98746 222.07225 0.0003022919 83.54347 341.002 0.017872 882.953 273.494 0.00240431138 0.00539768754 0.0000893368 0.0000693106 6819922.293 6112757.807 6564812.116 256.96989 262.58596 221.15749 0.0003026474 85.49238 342.013 0.017925 882.219 273.407 0.00239010125 0.00543698563 0.0000889942 0.0000699976 6800061.960 6094906.171 6539448.642 259.56306 248.88246 220.24441 0.0003029918 87.35484 343.005 0.017977 881.515 273.327 0.00237599695 0.00547518533 0.0000886463 0.0000706657 6781050.863 6077920.494 6515088.625 262.11780 235.39620 219.36745 0.0003033120 89.06087 344.017 0.018030 880.814 273.250 0.00236145909 0.00551375297 0.0000882798 0.0000713403 6762155.171 6061144.567 6490794.951 264.73202 221.61066 218.49288 0.0003036201 90.67641 345.009 0.018082 880.142 273.179 0.00234703927 0.00555123039 0.0000879087 0.0000719959 6744085.384 6045208.675 6467484.129 267.30669 208.04814 217.65369 0.0003039046 92.14085 346.001 0.018134 879.486 273.113 0.00233246762 0.00558834606 0.0000875264 0.0000726449 6726478.013 6029788.629 6444692.524 269.89069 194.45094 216.83319 0.0003041712 93.48616 347.012 0.018187 878.834 273.049 0.00231746254 0.00562580053 0.0000871251 0.0000732994 6709005.339 6014600.182 6421996.596 272.53358 180.55869 216.01614 0.0003044245 94.73512 348.004 0.018239 878.211 272.992 0.00230259321 0.00566217780 0.0000867203 0.0000739346 6692324.242 6000213.923 6400252.454 275.13524 166.89769 215.23335 0.0003046550 95.84097 349.016 0.018292 877.591 272.937 0.00228729075 0.00569887435 0.0000862965 0.0000745748 6675790.642 5986073.976 6378623.406 277.79532 152.94459 214.45470 0.0003048712 96.84664 350.008 0.018344 877.000 272.889 0.00227213555 0.00573450288 0.0000858697 0.0000751955 6660026.040 5972711.502 6357925.250 280.41302 139.22796 213.70957 0.0003050652 97.71457 351.000 0.018396 876.425 272.844 0.00225684310 0.00576975685 0.0000854322 0.0000758087 6644711.773 5959852.515 6337744.503 283.03804 125.48679 212.98306 0.0003052409 98.46526 352.011 0.018449 875.854 272.804 0.00224111832 0.00580530083 0.0000849755 0.0000764258 6629564.016 5947262.014 6317707.654 285.72062 111.45817 212.26173 0.0003054013 99.11018 353.003 0.018501 875.311 272.768 0.00222555748 0.00583979107 0.0000845169 0.0000770233 6615152.067 5935412.896 6298570.369 288.35909 97.67347 211.57279 0.0003055402 99.62540 354.015 0.018554 874.774 272.737 0.00220956506 0.00587455161 0.0000840388 0.0000776241 6600919.279 5923847.224 6279596.135 291.05447 83.60456 210.88972 0.0003056629 100.03119 355.007 0.018606 874.263 272.710 0.00219374742 0.00590826832 0.0000835596 0.0000782052 6587400.486 5912999.356 6261500.501 293.70459 69.78434 210.23828 0.0003057648 100.31268 356.018 0.018659 873.758 272.688 0.00217749914 0.00594223550 0.0000830609 0.0000787889 6574073.463 5902450.003 6243587.009 296.41087 55.68327 209.59339 0.0003058498 100.48116 357.010 0.018711 873.279 272.670 0.00216143622 0.00597516897 0.0000825616 0.0000793530 6561438.933 5892595.307 6226531.183 299.07072 41.83546 208.97938 0.0003059146 100.53072 358.002 0.018763 872.815 272.657 0.00214525608 0.00600771097 0.0000820526 0.0000799083 6549239.120 5883229.639 6209989.631 301.73466 27.97691 208.38389 0.0003059609 100.46612 359.014 0.018816 872.359 272.648 0.00212864707 0.00604047349 0.0000815241 0.0000804651 6537249.881 5874185.236 6193658.723 304.45354 13.84281 207.79597 0.0003059892 100.28329 360.006 0.018868 871.928 272.644 0.00211223879 0.00607221779 0.0000809960 0.0000810023 6525921.569 5865801.642 6178154.284 307.12425 -0.03151 207.23781 0.0003059983 99.98961 Engine speed (Hz) = 53.0000000000 Output power (W) = 5299.0914943125 Heat into heater (W) = 16277.5850977689 Heat to regenerator (W) = -1.6699031677 Heat removal from cooler (W) = 10983.6040843801 Approximate Pumping loss (W) = -9067.0604159708 Thermal efficiency (%) = 32.5545310467 The average engine pressure (Pa) = 8494462.0880557485 The exp space work per cycle (J) = 307.0929788339 The comp space work per cycle (J) = -207.1101204506 The net work per cycle (J) = 99.9828583833 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -978.3793698027 The expansion work for Vmin-to-Vmax (J) = 1078.3622281860 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 873.033 272.703 0.00211491116 0.00606432506 0.0000809945 0.0000810038 6542583.608 5859345.434 6183431.969 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.000 0.000051 872.623 272.705 0.00209841859 0.00609570584 0.0000804576 0.0000815313 6531813.000 5851595.544 6168380.264 2.65389 -13.87031 -0.54186 0.0003059889 -0.41870 2.011 0.000103 872.221 272.711 0.00208149226 0.00612729170 0.0000799008 0.0000820596 6521267.109 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6140001.150 6622992.997 249.69536 289.37057 225.60528 0.0003019136 76.62609 340.014 0.017490 884.646 273.594 0.00242022686 0.00535040546 0.0000896598 0.0000686337 6853459.575 6121221.556 6596523.185 252.24901 275.78379 224.65237 0.0003022935 78.72445 341.006 0.017541 883.917 273.507 0.00240649717 0.00538929682 0.0000893356 0.0000693130 6833672.735 6103337.394 6571085.182 254.76460 262.41180 223.73660 0.0003026487 80.66065 342.017 0.017593 883.190 273.423 0.00239232891 0.00542859293 0.0000889931 0.0000699998 6813982.380 6085644.250 6545681.384 257.34046 248.73241 222.82206 0.0003029929 82.51093 343.008 0.017644 882.494 273.344 0.00237826999 0.00546677948 0.0000886454 0.0000706674 6795143.181 6068819.702 6521288.777 259.87717 235.27386 221.94393 0.0003033128 84.20443 344.019 0.017696 881.799 273.269 0.00236377214 0.00550535109 0.0000882790 0.0000713418 6776413.651 6052201.033 6496950.647 262.47386 221.51050 221.06776 0.0003036208 85.80790 345.010 0.017747 881.134 273.200 0.00234939591 0.00554282145 0.0000879082 0.0000719968 6758511.558 6036424.638 6473602.896 265.03030 207.97380 220.22724 0.0003039050 87.25998 346.002 0.017798 880.486 273.135 0.00233486696 0.00557993310 0.0000875261 0.0000726453 6741069.630 6021163.166 6450772.193 267.59597 194.40147 219.40533 0.0003041714 88.59305 347.013 0.017850 879.840 273.073 0.00231989887 0.00561740037 0.0000871250 0.0000732996 6723756.895 6006129.921 6428025.922 270.22106 180.52844 218.58647 0.0003044246 89.83007 348.004 0.017901 879.223 273.018 0.00230507026 0.00565377958 0.0000867205 0.0000739344 6707236.704 5991900.534 6406238.649 272.80422 166.89032 217.80213 0.0003046549 90.92383 349.015 0.017953 878.611 272.965 0.00228980261 0.00569049469 0.0000862968 0.0000745743 6690858.648 5977914.426 6384555.646 275.44634 152.95438 217.02154 0.0003048711 91.91763 350.006 0.018004 878.026 272.918 0.00227468604 0.00572613103 0.0000858703 0.0000751946 6675250.188 5964707.093 6363810.530 278.04539 139.25862 216.27471 0.0003050649 92.77363 351.017 0.018056 877.446 272.875 0.00225913071 0.00576208350 0.0000854245 0.0000758193 6659796.727 5951758.181 6343189.393 280.70287 125.26801 215.53235 0.0003052438 93.52580 352.009 0.018107 876.893 272.837 0.00224373778 0.00579696680 0.0000849766 0.0000764243 6645090.226 5939563.439 6323484.977 283.31613 111.52266 214.82299 0.0003054009 94.14564 353.000 0.018158 876.356 272.803 0.00222821229 0.00583147353 0.0000845184 0.0000770214 6630826.784 5927866.747 6304295.279 285.93579 97.75572 214.13216 0.0003055398 94.64917 354.011 0.018210 875.824 272.774 0.00221224881 0.00586626665 0.0000840406 0.0000776220 6616737.454 5916451.314 6285258.856 288.61293 83.69862 213.44685 0.0003056625 95.04325 355.002 0.018261 875.319 272.749 0.00219646418 0.00590000550 0.0000835617 0.0000782027 6603361.822 5905754.113 6267107.469 291.24413 69.89401 212.79340 0.0003057644 95.31318 356.013 0.018313 874.820 272.728 0.00218024231 0.00593401066 0.0000830632 0.0000787862 6590173.017 5895353.582 6249128.874 293.93210 55.80254 212.14617 0.0003058494 95.46999 357.005 0.018364 874.347 272.712 0.00216420998 0.00596697181 0.0000825643 0.0000793499 6577676.057 5885647.798 6232014.144 296.57298 41.96817 211.53004 0.0003059142 95.50813 358.016 0.018416 873.880 272.701 0.00214774137 0.00600017904 0.0000820457 0.0000799157 6565378.601 5876254.214 6215091.693 299.26982 27.85039 210.92084 0.0003059614 95.42955 359.007 0.018467 873.439 272.694 0.00213147272 0.00603235273 0.0000815275 0.0000804615 6553751.453 5867532.310 6199011.985 301.91842 13.99413 210.34197 0.0003059890 95.23777 360.018 0.018519 873.005 272.691 0.00211476896 0.00606475206 0.0000809895 0.0000810088 6542336.455 5859138.256 6183144.044 304.62213 -0.14195 209.77072 0.0003059983 94.92575 Engine speed (Hz) = 54.0000000000 Output power (W) = 5125.6046792175 Heat into heater (W) = 16449.5948248125 Heat to regenerator (W) = -7.6653957407 Heat removal from cooler (W) = 11327.6188733222 Approximate Pumping loss (W) = -9547.5226004948 Thermal efficiency (%) = 31.1594585387 The average engine pressure (Pa) = 8496603.6503648963 The exp space work per cycle (J) = 304.5404530051 The comp space work per cycle (J) = -209.6218478344 The net work per cycle (J) = 94.9186051707 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -980.9773304612 The expansion work for Vmin-to-Vmax (J) = 1075.8959356319 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 874.126 272.750 0.00211763404 0.00605642450 0.0000809933 0.0000810050 6559303.391 5852632.695 6188666.520 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.001 0.000051 873.722 272.754 0.00210117896 0.00608781672 0.0000804572 0.0000815317 6548674.844 5845038.128 6173565.330 2.63271 -13.85061 -0.54364 0.0003059889 -0.43071 2.011 0.000102 873.326 272.762 0.00208428322 0.00611942968 0.0000799010 0.0000820594 6538266.001 5837785.809 6158686.483 5.32017 -27.98351 -1.07928 0.0003059604 -0.98532 3.001 0.000152 872.953 272.774 0.00206761219 0.00615002115 0.0000793468 0.0000825671 6528482.963 5831158.593 6144613.172 7.95648 -41.84252 -1.58592 0.0003059139 -1.64156 4.010 0.000203 872.589 272.792 0.00205050191 0.00618081218 0.0000787726 0.0000830751 6518932.305 5824889.862 6130782.186 10.64652 -55.97998 -2.08384 0.0003058476 -2.42516 5.000 0.000253 872.247 272.813 0.00203362616 0.00621059271 0.0000782010 0.0000835631 6509986.552 5819224.014 6117735.673 13.28428 -69.83954 -2.55351 0.0003057641 -3.30487 6.010 0.000304 871.914 272.839 0.00201631280 0.00624055132 0.0000776094 0.0000840507 6501285.852 5813933.004 6104951.553 15.97470 -83.97355 -3.01374 0.0003056601 -4.31532 7.000 0.000354 871.604 272.869 0.00199924359 0.00626951053 0.0000770211 0.0000845186 6493169.483 5809223.001 6092930.983 18.61171 -97.82577 -3.44648 0.0003055397 -5.41636 8.010 0.000405 871.303 272.905 0.00198173863 0.00629862597 0.0000764129 0.0000849852 6485310.858 5804904.303 6081192.991 21.30021 -111.94826 -3.86905 0.0003053981 -6.65146 9.000 0.000455 871.023 272.944 0.00196448723 0.00632675314 0.0000758086 0.0000854323 6478016.319 5801145.054 6070197.784 23.93419 -125.78519 -4.26487 0.0003052409 -7.97164 10.010 0.000506 870.754 272.988 0.00194680221 0.00635501432 0.0000751845 0.0000858774 6470992.248 5797793.684 6059505.488 26.61842 -139.88801 -4.64980 0.0003050619 -9.42914 11.020 0.000557 870.500 273.037 0.00192903065 0.00638283978 0.0000745525 0.0000863115 6464386.852 5794928.998 6049341.163 29.29958 -153.97777 -5.01571 0.0003048640 -10.99804 12.010 0.000607 870.267 273.089 0.00191152640 0.00640969380 0.0000739257 0.0000867261 6458315.711 5792591.862 6039888.714 31.92457 -167.77656 -5.35600 0.0003046518 -12.64377 13.019 0.000658 870.044 273.146 0.00189359221 0.00643664752 0.0000732790 0.0000871379 6452534.297 5790687.728 6030770.126 34.59779 -181.83423 -5.68427 0.0003044169 -14.43154 14.009 0.000708 869.842 273.208 0.00187593424 0.00646264096 0.0000726380 0.0000875305 6447267.750 5789290.271 6022343.127 37.21377 -195.59746 -5.98764 0.0003041685 -16.29067 15.019 0.000759 869.650 273.274 0.00185784909 0.00648871070 0.0000719774 0.0000879194 6442303.838 5788342.606 6014270.838 39.87651 -209.61465 -6.27824 0.0003038968 -18.29490 16.009 0.000809 869.478 273.344 0.00184004888 0.00651383129 0.0000713231 0.0000882894 6437835.758 5787880.970 6006870.075 42.48096 -223.33402 -6.54467 0.0003036124 -20.36504 17.019 0.000860 869.318 273.420 0.00182182456 0.00653900424 0.0000706493 0.0000886550 6433683.344 5787885.977 5999845.136 45.13065 -237.30220 -6.79757 0.0003033043 -22.58326 18.009 0.000910 869.177 273.498 0.00180389370 0.00656323911 0.0000699825 0.0000890019 6430008.096 5788356.557 5993471.898 47.72100 -250.96928 -7.02701 0.0003029844 -24.86197 19.019 0.000961 869.047 273.583 0.00178554207 0.00658750181 0.0000692963 0.0000893438 6426661.698 5789310.665 5987495.903 50.35496 -264.87976 -7.24214 0.0003026401 -27.29166 20.009 0.001011 868.936 273.670 0.00176749227 0.00661083742 0.0000686178 0.0000896672 6423774.181 5790710.054 5982152.039 52.92857 -278.48597 -7.43452 0.0003022850 -29.77642 21.019 0.001062 868.838 273.763 0.00174902535 0.00663417571 0.0000679201 0.0000899850 6421228.891 5792609.863 5977227.181 55.54408 -292.32989 -7.61182 0.0003019051 -32.41500 22.009 0.001112 868.756 273.859 0.00173086846 0.00665659778 0.0000672308 0.0000902845 6419124.598 5794934.786 5972915.157 58.09823 -305.86643 -7.76705 0.0003015153 -35.10327 23.018 0.001163 868.689 273.962 0.00171229839 0.00667899667 0.0000665224 0.0000905777 6417376.144 5797776.998 5969044.288 60.69250 -319.63474 -7.90640 0.0003011001 -37.94810 24.008 0.001213 868.637 274.066 0.00169404640 0.00670049011 0.0000658230 0.0000908530 6416051.223 5801024.242 5965767.243 63.22443 -333.09263 -8.02437 0.0003006761 -40.83726 25.018 0.001264 868.600 274.177 0.00167538551 0.00672193375 0.0000651049 0.0000911214 6415096.038 5804805.583 5962953.934 65.79458 -346.77606 -8.12565 0.0003002262 -43.88565 26.008 0.001314 868.579 274.291 0.00165705057 0.00674248256 0.0000643963 0.0000913721 6414547.367 5808971.919 5960715.748 68.30144 -360.14610 -8.20623 0.0002997684 -46.97305 27.018 0.001365 868.572 274.411 0.00163831134 0.00676295416 0.0000636692 0.0000916152 6414382.670 5813689.048 5958964.356 70.84454 -373.73513 -8.26928 0.0002992844 -50.22224 28.008 0.001415 868.581 274.532 0.00161990580 0.00678254136 0.0000629523 0.0000918410 6414607.940 5818771.132 5957769.714 73.32342 -387.00787 -8.31229 0.0002987934 -53.50514 29.018 0.001466 868.605 274.661 0.00160110094 0.00680202305 0.0000622172 0.0000920586 6415231.830 5824420.545 5957085.457 75.83647 -400.49274 -8.33692 0.0002982758 -56.95235 30.008 0.001516 868.643 274.791 0.00158263735 0.00682063059 0.0000614929 0.0000922593 6416229.646 5830414.816 5956939.922 78.28439 -413.65845 -8.34216 0.0002977522 -60.42797 31.018 0.001567 868.698 274.929 0.00156377975 0.00683910338 0.0000607506 0.0000924511 6417641.204 5836992.720 5957328.956 80.76432 -427.02909 -8.32815 0.0002972017 -64.07032 32.008 0.001617 868.766 275.068 0.00154527087 0.00685671205 0.0000600197 0.0000926264 6419411.195 5843895.273 5958239.058 83.17823 -440.07777 -8.29539 0.0002966461 -67.73584 33.017 0.001668 868.850 275.213 0.00152637368 0.00687415569 0.0000592712 0.0000927922 6421610.616 5851397.454 5959708.569 85.62188 -453.32380 -8.24249 0.0002960634 -71.57040 34.007 0.001718 868.948 275.361 0.00150783251 0.00689074497 0.0000585347 0.0000929419 6424153.565 5859203.892 5961681.892 87.99865 -466.24513 -8.17145 0.0002954765 -75.42292 35.017 0.001769 869.063 275.515 0.00148890910 0.00690713786 0.0000577808 0.0000930814 6427142.290 5867625.552 5964240.196 90.40281 -479.35586 -8.07935 0.0002948622 -79.44673 36.007 0.001819 869.191 275.671 0.00147034889 0.00692268586 0.0000570395 0.0000932053 6430460.281 5876330.815 5967285.492 92.73925 -492.13916 -7.96972 0.0002942448 -83.48329 37.017 0.001870 869.337 275.833 0.00145141292 0.00693800489 0.0000562812 0.0000933185 6434241.166 5885666.376 5970942.157 95.10061 -505.10352 -7.83808 0.0002935997 -87.69330 38.007 0.001920 869.494 275.997 0.00143284717 0.00695248816 0.0000555360 0.0000934164 6438337.760 5895264.531 5975069.468 97.39345 -517.73775 -7.68949 0.0002929524 -91.91089 39.017 0.001971 869.670 276.168 0.00141391255 0.00696670857 0.0000547743 0.0000935030 6442915.260 5905507.403 5979835.454 99.70863 -530.54428 -7.51792 0.0002922773 -96.30399 40.007 0.002021 869.858 276.340 0.00139535506 0.00698010196 0.0000540261 0.0000935749 6447795.688 5915991.391 5985056.272 101.95451 -543.01800 -7.32997 0.0002916010 -100.69954 41.017 0.002072 870.065 276.519 0.00137643600 0.00699319714 0.0000532618 0.0000936349 6453176.081 5927133.683 5990944.109 104.22004 -555.65482 -7.11801 0.0002908967 -105.27257 42.007 0.002122 870.282 276.699 0.00135790084 0.00700547357 0.0000525116 0.0000936806 6458847.481 5938495.001 5997271.565 106.41552 -567.95615 -6.89022 0.0002901922 -109.84293 43.016 0.002173 870.520 276.886 0.00133901185 0.00701741485 0.0000517457 0.0000937139 6465039.123 5950527.157 6004295.574 108.62785 -580.41089 -6.63735 0.0002894596 -114.59264 44.006 0.002223 870.768 277.073 0.00132051340 0.00702854510 0.0000509943 0.0000937335 6471510.816 5962755.454 6011744.688 110.76938 -592.52747 -6.36919 0.0002887278 -119.33462 45.016 0.002274 871.037 277.268 0.00130166932 0.00703930142 0.0000502277 0.0000937400 6478524.451 5975665.777 6019921.274 112.92485 -604.78726 -6.07483 0.0002879677 -124.25771 46.006 0.002324 871.316 277.463 0.00128322230 0.00704925372 0.0000494761 0.0000937333 6485808.278 5988748.317 6028509.288 115.00881 -616.70619 -5.76566 0.0002872094 -129.16802 47.016 0.002375 871.616 277.665 0.00126443829 0.00705879122 0.0000487097 0.0000937131 6493657.424 6002522.333 6037857.341 117.10364 -628.75755 -5.42913 0.0002864228 -134.26111 48.006 0.002425 871.926 277.868 0.00124605772 0.00706753081 0.0000479588 0.0000936801 6501768.166 6016443.253 6047604.197 119.12625 -640.46529 -5.07824 0.0002856390 -139.33641 49.016 0.002476 872.259 278.077 0.00122734930 0.00707581225 0.0000471936 0.0000936332 6510469.598 6031062.801 6058145.685 121.15654 -652.29407 -4.69875 0.0002848268 -144.59605 50.006 0.002526 872.601 278.286 0.00120905060 0.00708330063 0.0000464443 0.0000935741 6519425.529 6045802.022 6069074.734 123.11390 -663.77636 -4.30530 0.0002840184 -149.83290 51.016 0.002577 872.966 278.503 0.00119043369 0.00709028441 0.0000456812 0.0000935005 6528999.946 6061243.873 6080835.621 125.07556 -675.36756 -3.88191 0.0002831817 -155.25555 52.006 0.002627 873.340 278.719 0.00117223264 0.00709647814 0.0000449344 0.0000934152 6538823.608 6076775.378 6092974.798 126.96356 -686.60919 -3.44490 0.0002823497 -160.65045 53.015 0.002678 873.738 278.942 0.00115372359 0.00710211670 0.0000441744 0.0000933150 6549296.592 6093008.930 6105986.634 128.85230 -697.94671 -2.97648 0.0002814894 -166.23248 54.005 0.002728 874.146 279.164 0.00113563650 0.00710696521 0.0000434310 0.0000932038 6560015.980 6109297.705 6119370.601 130.66656 -708.93119 -2.49465 0.0002806348 -171.78184 55.015 0.002779 874.578 279.393 0.00111725220 0.00711120181 0.0000426749 0.0000930771 6571419.577 6126280.577 6133673.665 132.47769 -719.99730 -1.97974 0.0002797520 -177.51955 56.005 0.002829 875.020 279.620 0.00109929597 0.00711464264 0.0000419359 0.0000929400 6583070.237 6143276.170 6148348.474 134.21338 -730.70608 -1.45145 0.0002788759 -183.21967 57.015 0.002880 875.489 279.854 0.00108105412 0.00711740345 0.0000411847 0.0000927870 6595446.012 6160943.663 6163999.534 135.94158 -741.48015 -0.88801 0.0002779717 -189.10924 58.005 0.002930 875.966 280.085 0.00106324668 0.00711934819 0.0000404509 0.0000926242 6608075.675 6178561.713 6180036.437 137.59284 -751.89039 -0.31068 0.0002770751 -194.95634 59.015 0.002981 876.472 280.322 0.00104516651 0.00712051072 0.0000397055 0.0000924451 6621482.981 6196785.801 6197139.870 139.23088 -762.34398 0.30504 0.0002761506 -200.99385 60.005 0.003031 876.988 280.554 0.00102752868 0.00712073854 0.0000389778 0.0000922568 6635170.684 6214772.809 6214741.082 140.78679 -772.41226 0.93826 0.0002752346 -206.98400 61.015 0.003082 877.536 280.796 0.00100963278 0.00712030577 0.0000382391 0.0000920518 6649707.038 6233605.462 6233271.036 142.33173 -782.53293 1.59997 0.0002742909 -213.16537 62.005 0.003132 878.091 281.042 0.00099217870 0.00711938268 0.0000375185 0.0000918382 6664479.088 6252754.092 6251850.018 143.81059 -792.33212 2.25759 0.0002733567 -219.29463 63.014 0.003183 878.675 281.300 0.00097446675 0.00711792071 0.0000367873 0.0000916076 6680033.534 6272978.735 6271234.514 145.28204 -802.20100 2.93803 0.0002723949 -225.61593 64.004 0.003233 879.262 281.562 0.00095719117 0.00711596935 0.0000360746 0.0000913690 6695724.745 6293484.946 6290672.595 146.68792 -811.75162 3.61507 0.0002714436 -231.88036 65.014 0.003284 879.877 281.837 0.00093966158 0.00711344388 0.0000353520 0.0000911129 6712149.933 6315093.431 6310947.907 148.08402 -821.36470 4.31625 0.0002704649 -238.33742 66.004 0.003334 880.493 282.115 0.00092256679 0.00711043746 0.0000346480 0.0000908496 6728640.388 6336958.168 6331269.873 149.41511 -830.66162 5.01446 0.0002694976 -244.73281 67.014 0.003385 881.133 282.406 0.00090522512 0.00710682413 0.0000339347 0.0000905685 6745834.903 6359955.725 6352455.008 150.73395 -840.01225 5.73805 0.0002685032 -251.32122 68.004 0.003435 881.774 282.699 0.00088831923 0.00710274021 0.0000332404 0.0000902808 6763042.594 6383186.530 6373675.329 151.98831 -849.04764 6.45902 0.0002675211 -257.84314 69.014 0.003486 882.438 283.007 0.00087117603 0.00709801691 0.0000325374 0.0000899750 6780937.991 6407582.438 6395781.956 153.22784 -858.12666 7.20659 0.0002665123 -264.55827 70.004 0.003536 883.101 283.316 0.00085447126 0.00709283424 0.0000318535 0.0000896632 6798808.626 6432189.496 6417909.774 154.40339 -866.89055 7.95184 0.0002655166 -271.20212 71.014 0.003587 883.787 283.639 0.00083754060 0.00708697950 0.0000311616 0.0000893330 6817360.772 6457994.967 6440945.400 155.56143 -875.68688 8.72497 0.0002644946 -278.03921 72.004 0.003637 884.470 283.964 0.00082105205 0.00708067708 0.0000304890 0.0000889975 6835860.598 6483989.906 6463986.667 156.65600 -884.16766 9.49607 0.0002634865 -284.80023 73.013 0.003688 885.177 284.303 0.00080435045 0.00707366949 0.0000298090 0.0000886434 6855043.443 6511217.332 6487956.224 157.73033 -892.66885 10.29640 0.0002624524 -291.75438 74.003 0.003738 885.880 284.644 0.00078809524 0.00706622631 0.0000291485 0.0000882847 6874154.027 6538612.737 6511914.883 158.74174 -900.85378 11.09499 0.0002614332 -298.62772 75.013 0.003789 886.607 284.999 0.00077164094 0.00705804438 0.0000284813 0.0000879071 6893955.042 6567275.345 6536821.664 159.73012 -909.04637 11.92423 0.0002603884 -305.69390 76.003 0.003839 887.329 285.354 0.00075563759 0.00704943927 0.0000278337 0.0000875255 6913669.439 6596084.523 6561700.371 160.65618 -916.92188 12.75205 0.0002593593 -312.67459 77.013 0.003890 888.075 285.725 0.00073945003 0.00704006135 0.0000271801 0.0000871248 6934086.271 6626196.188 6587546.613 161.55641 -924.79172 13.61204 0.0002583050 -319.84772 78.003 0.003940 888.817 286.096 0.00072371802 0.00703027306 0.0000265463 0.0000867209 6954406.220 6656433.007 6613347.189 162.39498 -932.34369 14.47096 0.0002572672 -326.93071 79.013 0.003991 889.583 286.482 0.00070781742 0.00701967738 0.0000259070 0.0000862977 6975444.251 6688008.118 6640134.449 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5860714.221 6204393.883 299.36083 14.05928 212.91478 0.0003059890 90.12111 360.014 0.018183 874.100 272.738 0.00211758769 0.00605666669 0.0000809914 0.0000810069 6559121.805 5852474.058 6188468.521 302.04396 -0.06100 212.34147 0.0003059983 89.79716 Engine speed (Hz) = 55.0000000000 Output power (W) = 4938.4298921341 Heat into heater (W) = 16612.4179221179 Heat to regenerator (W) = -3.3547655794 Heat removal from cooler (W) = 11678.7806131261 Approximate Pumping loss (W) = -10043.2937047441 Thermal efficiency (%) = 29.7273396039 The average engine pressure (Pa) = 8498537.8957623243 The exp space work per cycle (J) = 301.9965618215 The comp space work per cycle (J) = -212.2069274191 The net work per cycle (J) = 89.7896344024 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -983.6246273997 The expansion work for Vmin-to-Vmax (J) = 1073.4142618021 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 875.232 272.796 0.00212040527 0.00604836411 0.0000809929 0.0000810053 6576227.418 5845803.002 6194013.751 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.020 0.000051 874.826 272.802 0.00210366486 0.00608038119 0.0000804470 0.0000815416 6565543.158 5838221.372 6178569.327 2.66267 -14.10229 -0.55600 0.0003059885 -0.45252 2.007 0.000100 874.444 272.812 0.00208714892 0.00611136260 0.0000799028 0.0000820577 6555492.113 5831273.629 6163944.989 5.27411 -27.92880 -1.08248 0.0003059605 -1.00863 3.015 0.000150 874.070 272.826 0.00207018619 0.00614257031 0.0000793385 0.0000825746 6545661.824 5824674.613 6149543.572 7.94040 -42.04189 -1.60093 0.0003059131 -1.69050 4.003 0.000199 873.719 272.845 0.00205345794 0.00617275346 0.0000787767 0.0000830715 6536443.388 5818686.812 6135940.905 10.55435 -55.87508 -2.09062 0.0003058482 -2.47034 5.011 0.000249 873.376 272.869 0.00203628425 0.00620314137 0.0000781947 0.0000835684 6527458.406 5813064.369 6122581.572 13.22211 -69.99099 -2.57156 0.0003057631 -3.37946 6.019 0.000299 873.049 272.897 0.00201900833 0.00623311119 0.0000776041 0.0000840550 6518897.151 5807933.000 6109748.260 15.88978 -84.10530 -3.03356 0.0003056591 -4.40253 7.007 0.000348 872.744 272.929 0.00200198155 0.00626207334 0.0000770170 0.0000845218 6510916.208 5803379.385 6097681.821 18.50345 -97.93380 -3.46795 0.0003055388 -5.51516 8.015 0.000398 872.449 272.966 0.00198451180 0.00629120717 0.0000764098 0.0000849875 6503187.815 5799216.375 6085889.639 21.16923 -112.03888 -3.89247 0.0003053973 -6.76220 9.003 0.000447 872.174 273.007 0.00196730067 0.00631934462 0.0000758069 0.0000854335 6496019.192 5795609.291 6074843.336 23.77993 -125.85437 -4.29013 0.0003052404 -8.09322 10.011 0.000497 871.910 273.053 0.00194964852 0.00634763129 0.0000751838 0.0000858779 6489115.821 5792409.722 6064092.017 26.44150 -139.94213 -4.67718 0.0003050616 -9.56198 11.019 0.000547 871.661 273.104 0.00193190863 0.00637548573 0.0000745530 0.0000863112 6482626.265 5789694.995 6053866.394 29.10004 -154.01802 -5.04530 0.0003048641 -11.14184 12.007 0.000596 871.432 273.158 0.00191444122 0.00640236083 0.0000739275 0.0000867250 6476666.197 5787503.887 6044355.382 31.70187 -167.79886 -5.38770 0.0003046525 -12.79732 13.015 0.000646 871.214 273.217 0.00189653625 0.00642935052 0.0000732820 0.0000871360 6470990.576 5785745.918 6035170.898 34.35258 -181.84504 -5.71834 0.0003044180 -14.59538 14.003 0.000695 871.016 273.280 0.00187891276 0.00645537218 0.0000726425 0.0000875278 6465824.753 5784490.424 6026680.495 36.94553 -195.59269 -6.02400 0.0003041703 -16.46353 15.011 0.000745 870.829 273.349 0.00186085434 0.00648148478 0.0000719830 0.0000879161 6460956.217 5783685.190 6018537.862 39.58591 -209.60080 -6.31713 0.0003038992 -18.47741 16.019 0.000795 870.657 273.422 0.00184272286 0.00650714955 0.0000713169 0.0000882928 6456492.840 5783359.697 6010921.839 42.22011 -223.58645 -6.59131 0.0003036097 -20.59934 17.006 0.000844 870.504 273.498 0.00182488603 0.00653186329 0.0000706577 0.0000886505 6452510.304 5783505.267 6003969.411 44.79499 -237.26850 -6.84160 0.0003033082 -22.78306 18.014 0.000894 870.362 273.579 0.00180661878 0.00655663133 0.0000699788 0.0000890038 6448844.580 5784126.960 5997397.239 47.41499 -251.20321 -7.07819 0.0003029826 -25.11707 19.002 0.000943 870.239 273.664 0.00178865470 0.00658045954 0.0000693076 0.0000893383 6445640.925 5785199.071 5991468.704 49.97466 -264.83107 -7.29162 0.0003026459 -27.50738 20.010 0.000993 870.128 273.755 0.00177026357 0.00660431693 0.0000686168 0.0000896677 6442767.239 5786764.518 5985942.409 52.57779 -278.70607 -7.49057 0.0003022845 -30.05092 21.018 0.001043 870.033 273.850 0.00175181445 0.00662770887 0.0000679204 0.0000899849 6440291.622 5788805.346 5980945.302 55.17137 -292.54754 -7.67046 0.0003019052 -32.69930 22.006 0.001092 869.954 273.948 0.00173368104 0.00665017769 0.0000672325 0.0000902838 6438250.564 5791265.771 5976562.287 57.70314 -306.07740 -7.82825 0.0003015163 -35.39577 23.014 0.001142 869.889 274.052 0.00171512624 0.00667263660 0.0000665255 0.0000905765 6436559.658 5794245.403 5972615.304 60.27572 -319.84561 -7.97034 0.0003011020 -38.24973 24.002 0.001191 869.839 274.158 0.00169689526 0.00669418333 0.0000658276 0.0000908513 6435285.558 5797624.262 5969263.136 62.78553 -333.29916 -8.09102 0.0003006789 -41.14637 25.010 0.001241 869.804 274.271 0.00167824709 0.00671569323 0.0000651108 0.0000911192 6434375.345 5801539.437 5966369.986 65.33428 -346.98483 -8.19518 0.0003002300 -44.20322 26.018 0.001291 869.784 274.389 0.00165955649 0.00673671745 0.0000643893 0.0000913745 6433858.134 5805925.849 5964010.730 67.86989 -360.62520 -8.28011 0.0002997638 -47.36151 27.006 0.001340 869.779 274.508 0.00164120165 0.00675684570 0.0000636781 0.0000916123 6433731.864 5810680.887 5962217.853 70.34133 -373.94644 -8.34465 0.0002992904 -50.55436 28.014 0.001390 869.789 274.634 0.00162243656 0.00677689502 0.0000629482 0.0000918423 6433990.783 5815997.752 5960919.519 72.84872 -387.48982 -8.39139 0.0002987905 -53.91139 29.002 0.001439 869.813 274.762 0.00160401495 0.00679605890 0.0000622290 0.0000920552 6434624.070 5821662.875 5960169.081 75.29102 -400.71118 -8.41841 0.0002982843 -57.29762 30.010 0.001489 869.853 274.897 0.00158518818 0.00681511475 0.0000614916 0.0000922597 6435657.221 5827906.526 5959937.491 77.76717 -414.14763 -8.42675 0.0002977512 -60.85055 31.018 0.001539 869.907 275.036 0.00156633521 0.00683366140 0.0000607506 0.0000924511 6437081.003 5834616.744 5960247.183 80.22638 -427.52619 -8.41560 0.0002972017 -64.50132 32.005 0.001588 869.976 275.176 0.00154783710 0.00685133807 0.0000600213 0.0000926260 6438855.228 5841644.369 5961077.638 82.61919 -440.57847 -8.38570 0.0002966474 -68.17329 33.013 0.001638 870.060 275.324 0.00152894217 0.00686886097 0.0000592742 0.0000927915 6441052.393 5849275.097 5962464.733 85.04249 -453.83455 -8.33576 0.0002960657 -72.01559 34.001 0.001687 870.157 275.473 0.00151040950 0.00688552386 0.0000585392 0.0000929410 6443584.850 5857202.503 5964355.056 87.39857 -466.76156 -8.26771 0.0002954802 -75.87380 35.009 0.001737 870.272 275.629 0.00149148606 0.00690200117 0.0000577867 0.0000930804 6446556.378 5865748.829 5966828.046 89.78277 -479.88438 -8.17869 0.0002948671 -79.90464 36.017 0.001787 870.401 275.789 0.00147255340 0.00691794164 0.0000570319 0.0000932065 6449919.818 5874755.462 5969853.093 92.14598 -492.93570 -8.06978 0.0002942384 -84.02954 37.005 0.001836 870.542 275.950 0.00145399386 0.00693303651 0.0000562902 0.0000933172 6453597.002 5884027.022 5973355.811 94.44074 -505.65383 -7.94369 0.0002936074 -88.16246 38.013 0.001886 870.701 276.119 0.00143505342 0.00694789561 0.0000555314 0.0000934170 6457739.031 5893940.239 5977481.970 96.75989 -518.55498 -7.79514 0.0002929484 -92.47130 39.001 0.001935 870.872 276.288 0.00141649315 0.00696191824 0.0000547862 0.0000935018 6462181.426 5904096.773 5982069.442 99.00982 -531.12024 -7.63000 0.0002922880 -96.78294 40.009 0.001985 871.061 276.465 0.00139755908 0.00697567000 0.0000540245 0.0000935751 6467106.985 5914909.134 5987308.675 101.28150 -543.85947 -7.44138 0.0002915995 -101.27257 41.017 0.002035 871.265 276.646 0.00137863369 0.00698885199 0.0000532615 0.0000936349 6472430.762 5926172.305 5993115.143 103.52789 -556.51230 -7.23235 0.0002908965 -105.85229 42.005 0.002084 871.480 276.827 0.00136009883 0.00700121042 0.0000525129 0.0000936806 6478036.386 5937645.160 5999359.405 105.70394 -568.82518 -7.00756 0.0002901935 -110.42703 43.013 0.002134 871.714 277.016 0.00134120169 0.00701324212 0.0000517484 0.0000937138 6484154.966 5949793.236 6006300.250 107.89757 -581.29749 -6.75769 0.0002894622 -115.18268 44.001 0.002183 871.959 277.205 0.00132270179 0.00702445812 0.0000509987 0.0000937334 6490544.316 5962127.652 6013664.131 110.02015 -593.42715 -6.49259 0.0002887320 -119.92823 45.009 0.002233 872.224 277.401 0.00130384784 0.00703530799 0.0000502334 0.0000937400 6497468.199 5975148.477 6021756.121 112.15737 -605.70593 -6.20127 0.0002879734 -124.85651 46.017 0.002283 872.505 277.602 0.00128502150 0.00704554808 0.0000494682 0.0000937332 6504803.680 5988604.576 6030436.661 114.26468 -617.88182 -5.88878 0.0002872013 -129.87070 47.004 0.002332 872.795 277.802 0.00126660227 0.00705498292 0.0000487184 0.0000937134 6512395.459 6002209.733 6039519.713 116.29989 -629.71095 -5.56179 0.0002864318 -134.86710 48.012 0.002382 873.106 278.009 0.00124784229 0.00706398810 0.0000479539 0.0000936799 6520557.596 6016514.534 6049381.648 118.34508 -641.67254 -5.20676 0.0002856338 -140.04879 49.000 0.002431 873.427 278.216 0.00122949582 0.00707219364 0.0000472053 0.0000936340 6528968.156 6030941.601 6059633.939 120.31747 -653.28453 -4.83767 0.0002848393 -145.20765 50.008 0.002481 873.770 278.431 0.00121081807 0.00707992385 0.0000464424 0.0000935739 6537975.635 6046073.759 6070701.709 122.29654 -665.01706 -4.43923 0.0002840163 -150.55335 51.016 0.002531 874.130 278.649 0.00119218801 0.00708699334 0.0000456807 0.0000935004 6547418.546 6061613.761 6082389.242 124.24064 -676.62800 -4.01848 0.0002831811 -155.98052 52.004 0.002580 874.498 278.866 0.00117398089 0.00709326848 0.0000449355 0.0000934154 6557101.402 6077230.875 6094452.253 126.11087 -687.88473 -3.58421 0.0002823509 -161.37731 53.012 0.002630 874.890 279.091 0.00115545778 0.00709899223 0.0000441768 0.0000933154 6567426.662 6093553.285 6107392.181 127.98244 -699.24242 -3.11838 0.0002814922 -166.96307 54.000 0.002679 875.291 279.313 0.00113736377 0.00710392153 0.0000434351 0.0000932044 6577989.239 6109917.452 6120701.468 129.77934 -710.24239 -2.63924 0.0002806395 -172.51346 55.008 0.002729 875.717 279.544 0.00111896470 0.00710824136 0.0000426803 0.0000930781 6589229.467 6126978.100 6134935.328 131.57368 -721.32881 -2.12682 0.0002797584 -178.25409 56.016 0.002779 876.161 279.776 0.00110063501 0.00711182506 0.0000419279 0.0000929385 6600947.106 6144388.319 6149843.256 133.32702 -732.27050 -1.59014 0.0002788663 -184.07149 57.004 0.002828 876.613 280.007 0.00108274378 0.00711460082 0.0000411930 0.0000927888 6612905.631 6161768.476 6165124.726 135.00408 -742.84721 -1.04000 0.0002779818 -189.84608 58.012 0.002878 877.092 280.244 0.00106456559 0.00711665263 0.0000404458 0.0000926231 6625607.950 6179797.658 6181428.208 136.67154 -753.48371 -0.45308 0.0002770689 -195.81257 59.020 0.002928 877.591 280.482 0.00104647162 0.00711787052 0.0000397018 0.0000924442 6638834.218 6198073.016 6198489.621 138.29236 -763.95306 0.16113 0.0002761460 -201.85285 60.008 0.002977 878.099 280.714 0.00102882740 0.00711814036 0.0000389757 0.0000922563 6652333.268 6216083.118 6216054.811 139.83056 -774.03099 0.79313 0.0002752320 -207.84290 61.016 0.003027 878.639 280.956 0.00101091833 0.00711772521 0.0000382383 0.0000920516 6666681.451 6234908.984 6234580.263 141.35732 -784.16167 1.45497 0.0002742899 -214.02621 62.004 0.003076 879.186 281.201 0.00099345911 0.00711682450 0.0000375192 0.0000918385 6681264.000 6254044.317 6253141.825 142.81812 -793.96699 2.11238 0.0002733577 -220.15448 63.012 0.003126 879.762 281.460 0.00097573551 0.00711538954 0.0000367894 0.0000916082 6696631.536 6274263.892 6272510.787 144.27207 -803.84636 2.79280 0.0002723977 -226.47686 64.020 0.003176 880.354 281.727 0.00095810432 0.00711342531 0.0000360637 0.0000913652 6712453.763 6295182.715 6292321.402 145.68854 -813.59747 3.48343 0.0002714290 -232.86793 65.007 0.003225 880.949 281.997 0.00094091593 0.00711098029 0.0000353568 0.0000911147 6728370.061 6316361.977 6312170.426 147.03988 -823.02791 4.17057 0.0002704716 -239.19677 66.015 0.003275 881.569 282.280 0.00092347010 0.00710794865 0.0000346401 0.0000908466 6745003.928 6338667.546 6332872.787 148.38076 -832.52097 4.88270 0.0002694866 -245.72059 67.003 0.003324 882.190 282.566 0.00090646660 0.00710444612 0.0000339423 0.0000905716 6761668.805 6361209.143 6353604.014 149.65709 -841.69502 5.59172 0.0002685139 -252.17735 68.011 0.003374 882.835 282.865 0.00088921399 0.00710032424 0.0000332353 0.0000902786 6779026.874 6384909.225 6375213.239 150.92045 -850.92227 6.32696 0.0002675140 -258.82944 69.019 0.003424 883.491 283.173 0.00087206334 0.00709564352 0.0000325336 0.0000899733 6796726.728 6409317.510 6397284.360 152.14389 -860.01162 7.07448 0.0002665069 -265.54452 70.007 0.003473 884.145 283.482 0.00085535802 0.00709050899 0.0000318512 0.0000896621 6814392.539 6433927.547 6419364.057 153.30359 -868.78270 7.81933 0.0002655134 -272.18527 71.015 0.003523 884.823 283.806 0.00083841998 0.00708470575 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6690936.455 5935616.525 6355049.995 275.84555 125.21089 220.74330 0.0003052438 83.41666 352.005 0.017461 879.001 272.901 0.00224900641 0.00578002225 0.0000849783 0.0000764221 6676577.798 5923755.160 6335289.127 278.41505 111.53498 220.03191 0.0003054004 84.01094 353.013 0.017511 878.467 272.870 0.00223327204 0.00581518300 0.0000845123 0.0000770291 6662375.641 5912160.992 6315649.396 281.04343 97.55569 219.32488 0.0003055415 84.49816 354.001 0.017560 877.960 272.845 0.00221771967 0.00584926519 0.0000840454 0.0000776160 6648895.620 5901295.654 6296916.083 283.62509 83.83415 218.65048 0.0003056614 84.85925 355.009 0.017610 877.459 272.823 0.00220171737 0.00588365737 0.0000835585 0.0000782065 6635585.046 5890713.543 6278324.243 286.26498 69.81228 217.98117 0.0003057650 85.10940 356.017 0.017660 876.973 272.806 0.00218558408 0.00591765754 0.0000830614 0.0000787883 6622721.033 5880639.432 6260261.149 288.90998 55.77193 217.33090 0.0003058497 85.24051 357.005 0.017709 876.513 272.794 0.00216964918 0.00595059488 0.0000825643 0.0000793499 6610545.180 5871257.727 6243071.988 291.50657 41.99640 216.71209 0.0003059142 85.25395 358.013 0.017759 876.059 272.786 0.00215326511 0.00598381125 0.0000820472 0.0000799141 6598558.126 5862183.595 6226054.838 294.16027 27.92541 216.09947 0.0003059613 85.15075 359.001 0.017808 875.631 272.783 0.00213709001 0.00601597551 0.0000815309 0.0000804580 6587237.060 5853778.209 6209890.078 296.76443 14.12373 215.51754 0.0003059889 84.93551 360.009 0.017858 875.209 272.784 0.00212046653 0.00604839795 0.0000809945 0.0000810038 6576117.579 5845696.723 6193917.616 299.42485 0.03002 214.94253 0.0003059983 84.59993 Engine speed (Hz) = 56.0000000000 Output power (W) = 4737.1536900738 Heat into heater (W) = 16767.7914606498 Heat to regenerator (W) = 1.6808793759 Heat removal from cooler (W) = 12036.7817929354 Approximate Pumping loss (W) = -10554.7874675036 Thermal efficiency (%) = 28.2515064741 The average engine pressure (Pa) = 8500487.0309935603 The exp space work per cycle (J) = 299.4160793134 The comp space work per cycle (J) = -214.8240491335 The net work per cycle (J) = 84.5920301799 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -986.2902724677 The expansion work for Vmin-to-Vmax (J) = 1070.8823026476 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 876.351 272.841 0.00212325916 0.00604007635 0.0000809945 0.0000810038 6593372.084 5838873.067 6199507.309 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.014 0.000049 875.952 272.849 0.00210657697 0.00607207220 0.0000804499 0.0000815387 6582851.043 5831454.365 6184025.470 2.63783 -14.06613 -0.55735 0.0003059886 -0.46391 2.020 0.000098 875.569 272.861 0.00208978017 0.00610366489 0.0000798960 0.0000820640 6572757.765 5824530.102 6169067.092 5.27772 -28.13984 -1.09585 0.0003059601 -1.04342 3.005 0.000146 875.209 272.877 0.00207321779 0.00613421937 0.0000793446 0.0000825691 6563282.998 5818225.029 6154921.329 7.86524 -41.93174 -1.60510 0.0003059137 -1.72270 4.010 0.000195 874.857 272.898 0.00205620255 0.00616500612 0.0000787728 0.0000830749 6554029.720 5812274.940 6140998.583 10.50766 -56.01451 -2.10631 0.0003058477 -2.52952 5.016 0.000244 874.520 272.924 0.00203908123 0.00619538173 0.0000781922 0.0000835705 6545197.412 5806814.755 6127598.733 13.15054 -70.09887 -2.58871 0.0003057627 -3.45035 6.000 0.000292 874.206 272.953 0.00202220924 0.00622473615 0.0000776151 0.0000840461 6536951.404 5801939.660 6114979.216 15.73939 -83.89538 -3.04301 0.0003056612 -4.46243 7.006 0.000341 873.900 272.987 0.00200488640 0.00625428977 0.0000770177 0.0000845213 6528945.983 5797445.206 6102614.116 18.38154 -97.97688 -3.48815 0.0003055390 -5.60736 8.011 0.000390 873.610 273.026 0.00198746604 0.00628342399 0.0000764120 0.0000849859 6521355.085 5793436.651 6090771.608 21.02246 -112.05392 -3.91449 0.0003053979 -6.86466 9.017 0.000439 873.336 273.070 0.00196995107 0.00631213595 0.0000757982 0.0000854398 6514176.627 5789912.758 6079451.663 23.66158 -126.12442 -4.32200 0.0003052380 -8.23376 10.002 0.000487 873.082 273.117 0.00195270458 0.00633984972 0.0000751894 0.0000858739 6507542.608 5786929.569 6068869.427 26.24453 -139.89946 -4.70296 0.0003050633 -9.68275 11.007 0.000536 872.838 273.169 0.00193501083 0.00636771713 0.0000745602 0.0000863063 6501174.651 5784361.667 6058584.033 28.87832 -153.95095 -5.07324 0.0003048665 -11.27143 12.013 0.000585 872.610 273.226 0.00191723112 0.00639515344 0.0000739236 0.0000867275 6495213.203 5782275.041 6048821.386 31.50853 -167.98971 -5.42469 0.0003046511 -12.97016 13.018 0.000634 872.397 273.288 0.00189936838 0.00642215556 0.0000732797 0.0000871375 6489656.371 5780668.645 6039581.649 34.13453 -182.01366 -5.75732 0.0003044171 -14.77833 14.003 0.000682 872.203 273.352 0.00188179249 0.00644818258 0.0000726420 0.0000875281 6484603.481 5779559.691 6031037.700 36.70225 -195.73498 -6.06491 0.0003041701 -16.65512 15.009 0.000731 872.020 273.423 0.00186377404 0.00647431580 0.0000719842 0.0000879154 6479842.241 5778901.018 6022833.813 39.31806 -209.72329 -6.36025 0.0003038997 -18.67813 16.014 0.000780 871.853 273.498 0.00184568135 0.00650000521 0.0000713197 0.0000882912 6475480.292 5778719.679 6015153.667 41.92777 -223.69040 -6.63673 0.0003036109 -20.80873 17.020 0.000829 871.700 273.577 0.00182751741 0.00652524741 0.0000706488 0.0000886553 6471515.962 5779014.765 6007997.669 44.53073 -237.63412 -6.89435 0.0003033040 -23.04631 18.005 0.000877 871.566 273.659 0.00180965796 0.00654953753 0.0000699854 0.0000890004 6468016.519 5779764.921 6001496.382 47.07339 -251.26847 -7.12839 0.0003029858 -25.34131 19.010 0.000926 871.443 273.747 0.00179136183 0.00657388413 0.0000693022 0.0000893409 6464834.639 5781000.556 5995379.461 49.66102 -265.15937 -7.34860 0.0003026431 -27.78874 20.016 0.000975 871.336 273.840 0.00177300344 0.00659777291 0.0000686131 0.0000896694 6462045.789 5782710.049 5989788.331 52.23991 -279.02024 -7.54988 0.0003022825 -30.34120 21.001 0.001023 871.245 273.935 0.00175496229 0.00662072665 0.0000679326 0.0000899794 6459693.592 5784843.306 5984821.795 54.75703 -292.56693 -7.72868 0.0003019120 -32.94278 22.006 0.001072 871.168 274.036 0.00173648970 0.00664369793 0.0000672325 0.0000902838 6457678.741 5787488.406 5980273.695 57.31657 -306.36161 -7.89241 0.0003015163 -35.70121 23.012 0.001121 871.105 274.142 0.00171796403 0.00666619987 0.0000665272 0.0000905758 6456052.997 5790604.908 5976253.757 59.86530 -320.11939 -8.03713 0.0003011030 -38.56267 24.017 0.001170 871.057 274.252 0.00169938841 0.00668822837 0.0000658169 0.0000908554 6454815.214 5794191.991 5972762.960 62.40249 -333.83792 -8.16280 0.0003006723 -41.52649 25.002 0.001218 871.025 274.365 0.00168114649 0.00670934420 0.0000651164 0.0000911172 6453977.842 5798161.341 5969857.492 64.87603 -347.23609 -8.26739 0.0003002336 -44.52841 26.007 0.001267 871.007 274.484 0.00166248132 0.00673042291 0.0000643968 0.0000913719 6453505.053 5802677.514 5967417.451 67.38826 -360.86979 -8.35523 0.0002997687 -47.69280 27.013 0.001316 871.003 274.607 0.00164377566 0.00675101523 0.0000636729 0.0000916140 6453417.389 5807661.738 5965510.068 69.88678 -374.45698 -8.42390 0.0002992869 -50.95746 28.018 0.001365 871.014 274.735 0.00162503276 0.00677111653 0.0000629448 0.0000918434 6453714.115 5813113.112 5964136.743 72.37084 -387.99517 -8.47334 0.0002987881 -54.32167 29.003 0.001413 871.040 274.865 0.00160663941 0.00679032693 0.0000622277 0.0000920556 6454376.897 5818905.278 5963310.727 74.78946 -401.20710 -8.50308 0.0002982833 -57.71306 30.009 0.001462 871.080 275.001 0.00158783245 0.00680944201 0.0000614921 0.0000922595 6455432.872 5825278.610 5962999.217 77.24265 -414.64075 -8.51429 0.0002977516 -61.27222 31.014 0.001511 871.135 275.142 0.00156899807 0.00682805142 0.0000607530 0.0000924505 6456871.797 5832116.150 5963226.664 79.67910 -428.01770 -8.50610 0.0002972035 -64.92875 32.020 0.001560 871.205 275.287 0.00155013963 0.00684614989 0.0000600107 0.0000926285 6458693.466 5839416.794 5963994.976 82.09801 -441.33530 -8.47844 0.0002966392 -68.68192 33.005 0.001608 871.288 275.433 0.00153164600 0.00686337838 0.0000592806 0.0000927902 6460849.020 5847016.329 5965274.008 84.44979 -454.32096 -8.43240 0.0002960707 -72.45146 34.010 0.001657 871.387 275.587 0.00151274999 0.00688044923 0.0000585325 0.0000929423 6463428.389 5855230.149 5967119.218 86.83164 -467.51303 -8.36597 0.0002954748 -76.39369 35.016 0.001706 871.501 275.745 0.00149384013 0.00689699242 0.0000577819 0.0000930812 6466390.867 5863903.266 5969511.872 89.19354 -480.63754 -8.27984 0.0002948631 -80.43029 36.001 0.001754 871.626 275.903 0.00147530616 0.00691268059 0.0000570443 0.0000932045 6469664.813 5872843.276 5972388.932 91.48712 -493.42595 -8.17626 0.0002942489 -84.47526 37.006 0.001803 871.769 276.070 0.00145637928 0.00692816130 0.0000562893 0.0000933173 6473387.318 5882421.080 5975872.943 93.80711 -506.40824 -8.05084 0.0002936067 -88.69637 38.012 0.001852 871.926 276.240 0.00143744913 0.00694309579 0.0000555325 0.0000934168 6477494.996 5892453.320 5979912.484 96.10467 -519.31432 -7.90541 0.0002929493 -93.00951 39.017 0.001901 872.099 276.414 0.00141851932 0.00695747738 0.0000547740 0.0000935031 6481988.985 5902938.047 5984510.656 98.37893 -532.14116 -7.73988 0.0002922771 -97.41388 40.002 0.001949 872.282 276.589 0.00139997969 0.00697102269 0.0000540296 0.0000935746 6486767.163 5913645.470 5989559.830 100.58335 -544.62644 -7.55811 0.0002916043 -101.81603 41.008 0.001998 872.483 276.771 0.00138106139 0.00698428901 0.0000532686 0.0000936344 6492030.251 5925019.412 5995273.873 102.80891 -557.28729 -7.35240 0.0002909031 -106.39859 42.013 0.002047 872.700 276.958 0.00136215448 0.00699698092 0.0000525067 0.0000936809 6497684.607 5936838.788 6001557.135 105.00854 -569.85954 -7.12621 0.0002901876 -111.06994 43.019 0.002096 872.931 277.148 0.00134326273 0.00700909060 0.0000517440 0.0000937140 6503732.487 5949100.714 6008413.679 107.18133 -582.33993 -6.87937 0.0002894580 -115.82924 44.004 0.002144 873.172 277.339 0.00132477494 0.00702038078 0.0000509965 0.0000937334 6510040.995 5961538.413 6015690.338 109.28287 -594.47331 -6.61741 0.0002887299 -120.57588 45.009 0.002193 873.433 277.537 0.00130592458 0.00703131352 0.0000502331 0.0000937400 6516875.885 5974666.623 6023694.902 111.39978 -606.76189 -6.32925 0.0002879731 -125.50680 46.014 0.002242 873.710 277.738 0.00128710097 0.00704163866 0.0000494698 0.0000937332 6524113.123 5988226.734 6032286.707 113.48705 -618.94839 -6.01994 0.0002872030 -130.52313 47.020 0.002291 874.001 277.944 0.00126830807 0.00705134686 0.0000487067 0.0000937130 6531756.475 6002214.303 6041471.172 115.54371 -631.02921 -5.68930 0.0002864197 -135.62399 48.005 0.002339 874.302 278.149 0.00124993237 0.00706024929 0.0000479596 0.0000936802 6539641.684 6016326.073 6051048.482 117.52775 -642.75747 -5.34452 0.0002856398 -140.70187 49.010 0.002388 874.624 278.361 0.00123121221 0.00706870669 0.0000471977 0.0000936335 6548101.961 6031144.503 6061423.948 119.52085 -654.61808 -4.97100 0.0002848312 -145.96747 50.016 0.002437 874.962 278.578 0.00121253494 0.00707651615 0.0000464367 0.0000935734 6556982.536 6046373.516 6072411.111 121.48030 -666.36167 -4.57546 0.0002840101 -151.31496 51.001 0.002485 875.308 278.792 0.00119428444 0.00708352670 0.0000456924 0.0000935016 6566095.103 6061682.820 6083774.490 123.36611 -677.74822 -4.16638 0.0002831940 -156.63182 52.006 0.002534 875.678 279.015 0.00117570448 0.00709001805 0.0000449339 0.0000934152 6575825.879 6077702.058 6095995.869 125.25576 -689.24800 -3.72641 0.0002823491 -162.13869 53.012 0.002583 876.064 279.241 0.00115718009 0.00709582366 0.0000441771 0.0000933154 6585996.830 6094106.615 6108854.328 127.10848 -700.61813 -3.26351 0.0002814925 -167.72468 54.017 0.002632 876.466 279.469 0.00113871566 0.00710092847 0.0000434221 0.0000932024 6596616.347 6110884.938 6122360.654 128.92305 -711.85395 -2.77728 0.0002806245 -173.38885 55.002 0.002680 876.876 279.696 0.00112069054 0.00710523333 0.0000426846 0.0000930788 6607463.235 6127669.817 6136231.593 130.66238 -722.72545 -2.27793 0.0002797634 -179.01231 56.008 0.002729 877.313 279.930 0.00110235821 0.00710889844 0.0000419340 0.0000929397 6619000.185 6145143.568 6151059.901 132.39759 -733.68029 -1.74411 0.0002788737 -184.82842 57.013 0.002778 877.766 280.166 0.00108409961 0.00711180324 0.0000411860 0.0000927873 6631018.670 6162937.560 6166582.308 134.09050 -744.48447 -1.18530 0.0002779733 -190.71980 58.019 0.002827 878.238 280.403 0.00106591974 0.00711391718 0.0000404408 0.0000926219 6643534.041 6181019.979 6182824.681 135.73933 -755.13081 -0.60057 0.0002770627 -196.68547 59.004 0.002875 878.719 280.637 0.00104819237 0.00711517638 0.0000397137 0.0000924472 6656294.639 6198962.506 6199473.702 137.30942 -765.39748 -0.00121 0.0002761609 -202.60044 60.009 0.002924 879.229 280.875 0.00103018515 0.00711551141 0.0000389747 0.0000922560 6669861.754 6217364.636 6217339.962 138.86096 -775.69126 0.64169 0.0002752306 -208.71015 61.015 0.002973 879.760 281.117 0.00101227452 0.00711511520 0.0000382391 0.0000920518 6684005.565 6236169.155 6235847.856 140.36825 -785.82554 1.30320 0.0002742909 -214.89106 62.020 0.003022 880.310 281.367 0.00099445903 0.00711421542 0.0000375072 0.0000918348 6698686.569 6255680.887 6254768.659 141.83943 -795.83370 1.97370 0.0002733420 -221.14219 63.005 0.003070 880.867 281.620 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273.391 0.00238535625 0.00544039122 0.0000886480 0.0000706623 6838376.584 6040994.925 6540802.764 252.93948 234.86181 229.85918 0.0003033104 69.20526 344.006 0.016764 884.827 273.321 0.00237104788 0.00547880869 0.0000882838 0.0000713332 6820238.178 6024905.728 6516428.894 255.47152 221.22831 228.98172 0.0003036169 70.76716 345.011 0.016813 884.172 273.256 0.00235657608 0.00551686805 0.0000879078 0.0000719975 6802571.571 6009348.619 6492582.294 258.01313 207.55302 228.12324 0.0003039053 72.20607 346.017 0.016862 883.534 273.196 0.00234194381 0.00555456641 0.0000875202 0.0000726552 6785373.927 5994320.763 6469262.891 260.56394 193.83803 227.28374 0.0003041753 73.52233 347.002 0.016910 882.925 273.141 0.00232745737 0.00559114269 0.0000871293 0.0000732927 6768979.256 5980110.104 6446930.456 263.07127 180.36643 226.47977 0.0003044220 74.69317 348.007 0.016959 882.319 273.090 0.00231251605 0.00562811816 0.0000867191 0.0000739365 6752701.714 5966121.896 6424654.328 265.63920 166.57894 225.67783 0.0003046556 75.76773 349.013 0.017008 881.730 273.043 0.00229742294 0.00566472436 0.0000862977 0.0000745730 6736884.849 5952654.958 6402904.970 268.21520 152.75788 224.89486 0.0003048707 76.72077 350.018 0.017057 881.156 273.001 0.00228218097 0.00570095859 0.0000858651 0.0000752020 6721525.937 5939706.767 6381682.180 270.79885 138.90528 224.13084 0.0003050671 77.55268 351.003 0.017105 880.610 272.964 0.00226710849 0.00573609011 0.0000854308 0.0000758107 6706921.903 5927523.446 6361402.851 273.33681 125.30678 223.40078 0.0003052414 78.25055 352.009 0.017154 880.068 272.931 0.00225158034 0.00577158011 0.0000849766 0.0000764243 6692461.622 5915595.029 6341221.772 275.93439 111.39776 222.67426 0.0003054009 78.84389 353.014 0.017203 879.542 272.903 0.00223591193 0.00580669025 0.0000845118 0.0000770298 6678451.341 5904178.303 6321566.542 278.53837 97.46323 221.96667 0.0003055416 79.31734 354.020 0.017252 879.032 272.879 0.00222010613 0.00584141790 0.0000840364 0.0000776271 6664888.452 5893271.053 6302436.891 281.14830 83.50521 221.27801 0.0003056635 79.67135 355.005 0.017300 878.548 272.859 0.00220449246 0.00587506346 0.0000835606 0.0000782040 6652033.661 5883078.322 6284206.974 283.71030 69.81121 220.62173 0.0003057646 79.90275 356.010 0.017349 878.070 272.844 0.00218842315 0.00590902629 0.0000830648 0.0000787844 6639348.847 5873173.382 6266116.935 286.33066 55.81260 219.97049 0.0003058492 80.02165 357.016 0.017398 877.608 272.834 0.00217222501 0.00594259892 0.0000825589 0.0000793560 6627103.829 5863771.756 6248551.642 288.95559 41.79647 219.33814 0.0003059149 80.02247 358.001 0.017446 877.171 272.828 0.00215623528 0.00597510555 0.0000820536 0.0000799073 6615532.742 5855048.159 6231853.347 291.53091 28.05132 218.73700 0.0003059608 79.90925 359.006 0.017495 876.740 272.827 0.00213979053 0.00600789810 0.0000815281 0.0000804610 6604151.043 5846637.284 6215326.018 294.16344 14.00639 218.14201 0.0003059890 79.67776 360.012 0.017544 876.326 272.830 0.00212322546 0.00604029272 0.0000809929 0.0000810053 6593201.833 5838724.201 6199322.626 296.79908 -0.05011 217.56589 0.0003059983 79.32964 Engine speed (Hz) = 57.0000000000 Output power (W) = 4521.3155649754 Heat into heater (W) = 16917.5474691322 Heat to regenerator (W) = -2.8560261272 Heat removal from cooler (W) = 12401.2558884358 Approximate Pumping loss (W) = -11082.4699656853 Thermal efficiency (%) = 26.7255970360 The average engine pressure (Pa) = 8502674.0727961138 The exp space work per cycle (J) = 296.7533639580 The comp space work per cycle (J) = -217.4320382567 The net work per cycle (J) = 79.3213257013 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -989.0177687085 The expansion work for Vmin-to-Vmax (J) = 1068.3390944098 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 877.477 272.886 0.00212593251 0.00603207057 0.0000809895 0.0000810088 6610562.842 5831723.840 6204898.291 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.020 0.000049 877.085 272.895 0.00210932002 0.00606401648 0.0000804466 0.0000815420 6600222.090 5824478.453 6189396.475 2.61096 -14.01933 -0.55807 0.0003059885 -0.47642 2.002 0.000096 876.717 272.909 0.00209294189 0.00609491093 0.0000799060 0.0000820547 6590506.265 5817859.921 6174720.753 5.16950 -27.75500 -1.08639 0.0003059607 -1.05431 3.004 0.000144 876.356 272.927 0.00207610392 0.00612606595 0.0000793450 0.0000825688 6580999.592 5811585.068 6160246.459 7.78397 -41.78956 -1.60747 0.0003059138 -1.75774 4.006 0.000192 876.010 272.950 0.00205915623 0.00615681740 0.0000787751 0.0000830729 6571910.836 5805798.326 6146291.105 10.39942 -55.82885 -2.10986 0.0003058480 -2.57510 5.008 0.000240 875.680 272.977 0.00204210165 0.00618716257 0.0000781964 0.0000835670 6563237.688 5800498.257 6132854.570 13.01533 -69.87089 -2.59357 0.0003057634 -3.50584 6.011 0.000288 875.366 273.009 0.00202494299 0.00621709871 0.0000776092 0.0000840509 6554977.872 5795683.482 6119936.761 15.63115 -83.91366 -3.05862 0.0003056601 -4.54942 7.013 0.000336 875.067 273.046 0.00200768311 0.00624662304 0.0000770136 0.0000845245 6547129.150 5791352.682 6107537.616 18.24631 -97.95516 -3.50498 0.0003055381 -5.70530 8.015 0.000384 874.783 273.086 0.00199032484 0.00627573277 0.0000764098 0.0000849875 6539689.323 5787504.590 6095657.112 20.86027 -111.99337 -3.93268 0.0003053973 -6.97291 9.017 0.000432 874.515 273.132 0.00197287103 0.00630442500 0.0000757980 0.0000854400 6532656.231 5784137.996 6084295.260 23.47244 -126.02625 -4.34171 0.0003052380 -8.35168 10.020 0.000480 874.261 273.182 0.00195532456 0.00633269683 0.0000751784 0.0000858816 6526027.756 5781251.739 6073452.117 26.08225 -140.05176 -4.73206 0.0003050600 -9.84105 11.001 0.000527 874.028 273.235 0.00193805660 0.00635996946 0.0000745643 0.0000863035 6519927.436 5778889.970 6063337.580 28.63482 -153.77595 -5.09619 0.0003048678 -11.40598 12.003 0.000575 873.805 273.293 0.00192033518 0.00638740044 0.0000739298 0.0000867235 6514093.688 5776951.141 6053521.388 31.23821 -167.78078 -5.44957 0.0003046533 -13.11250 13.005 0.000623 873.597 273.357 0.00190252968 0.00641440198 0.0000732880 0.0000871323 6508658.506 5775489.463 6044224.349 33.83744 -181.77207 -5.78426 0.0003044203 -14.92784 14.008 0.000671 873.404 273.424 0.00188464301 0.00644097093 0.0000726392 0.0000875298 6503619.954 5774503.951 6035446.717 36.43192 -195.74770 -6.10026 0.0003041689 -16.85141 15.010 0.000719 873.226 273.496 0.00186667809 0.00646710406 0.0000719835 0.0000879158 6498976.147 5773993.654 6027188.805 39.02101 -209.70554 -6.39754 0.0003038994 -18.88259 16.012 0.000767 873.063 273.573 0.00184863786 0.00649279806 0.0000713212 0.0000882904 6494725.255 5773957.654 6019450.988 41.60409 -223.64346 -6.67610 0.0003036116 -21.02075 17.014 0.000815 872.915 273.654 0.00183052528 0.00651804952 0.0000706524 0.0000886533 6490865.503 5774395.064 6012233.708 44.18051 -237.55928 -6.93592 0.0003033057 -23.26528 18.017 0.000863 872.782 273.740 0.00181234332 0.00654285498 0.0000699774 0.0000890045 6487395.178 5775305.019 6005537.475 46.74963 -251.45081 -7.17699 0.0003029819 -25.61552 19.019 0.000911 872.663 273.830 0.00179409497 0.00656721085 0.0000692963 0.0000893438 6484312.629 5776686.677 5999362.871 49.31078 -265.31585 -7.39928 0.0003026401 -28.07084 20.000 0.000958 872.561 273.922 0.00177616538 0.00659062015 0.0000686238 0.0000896644 6481668.518 5778495.821 5993822.984 51.81022 -278.86419 -7.59871 0.0003022882 -30.57620 21.002 0.001006 872.472 274.021 0.00175779456 0.00661407532 0.0000679314 0.0000899800 6479348.844 5780808.634 5988682.799 54.35363 -292.67014 -7.78376 0.0003019113 -33.23755 22.005 0.001054 872.398 274.124 0.00173936640 0.00663706968 0.0000672335 0.0000902833 6477412.445 5783590.717 5984066.454 56.88707 -306.44284 -7.94995 0.0003015169 -36.00202 23.007 0.001102 872.338 274.231 0.00172088399 0.00665959923 0.0000665305 0.0000905745 6475857.963 5786841.266 5979974.863 59.40984 -320.17996 -8.09724 0.0003011050 -38.86893 24.009 0.001150 872.293 274.343 0.00170235044 0.00668165988 0.0000658225 0.0000908532 6474684.127 5790559.467 5976409.034 61.92124 -333.87914 -8.22561 0.0003006758 -41.83759 25.011 0.001198 872.262 274.460 0.00168376888 0.00670324739 0.0000651097 0.0000911196 6473889.756 5794744.499 5973370.071 64.42056 -347.53800 -8.33502 0.0003002293 -44.90732 26.014 0.001246 872.246 274.581 0.00166514247 0.00672435741 0.0000643924 0.0000913734 6473473.768 5799395.522 5970859.184 66.90708 -361.15411 -8.42541 0.0002997659 -48.07741 27.016 0.001294 872.244 274.706 0.00164647441 0.00674498544 0.0000636708 0.0000916147 6473435.183 5804511.673 5968877.688 69.38007 -374.72502 -8.49674 0.0002992855 -51.34717 28.018 0.001342 872.257 274.835 0.00162776792 0.00676512685 0.0000629450 0.0000918433 6473773.133 5810092.054 5967427.013 71.83879 -388.24823 -8.54897 0.0002987883 -54.71589 29.020 0.001390 872.284 274.969 0.00160902625 0.00678477685 0.0000622154 0.0000920591 6474486.868 5816135.728 5966508.707 74.28250 -401.72119 -8.58203 0.0002982745 -58.18283 30.002 0.001437 872.325 275.104 0.00159064411 0.00680353656 0.0000614974 0.0000922581 6475549.257 5822501.459 5966126.990 76.66002 -414.86232 -8.59577 0.0002977555 -61.67203 31.004 0.001485 872.381 275.247 0.00157184253 0.00682219926 0.0000607607 0.0000924486 6477005.028 5829459.102 5966267.390 79.07177 -428.22823 -8.59071 0.0002972093 -65.33124 32.006 0.001533 872.451 275.393 0.00155301567 0.00684035534 0.0000600208 0.0000926262 6478835.137 5836876.913 5966945.538 81.46622 -441.53610 -8.56630 0.0002966469 -69.08649 33.008 0.001581 872.535 275.544 0.00153416691 0.00685799935 0.0000592779 0.0000927907 6481039.395 5844753.696 5968163.518 83.84258 -454.78322 -8.52245 0.0002960686 -72.93703 34.011 0.001629 872.634 275.700 0.00151529968 0.00687512565 0.0000585322 0.0000929423 6483617.779 5853088.161 5969923.566 86.20007 -467.96684 -8.45909 0.0002954746 -76.88210 35.013 0.001677 872.747 275.859 0.00149641744 0.00689172841 0.0000577840 0.0000930808 6486570.442 5861878.912 5972228.083 88.53787 -481.08415 -8.37613 0.0002948649 -80.92094 36.015 0.001725 872.874 276.023 0.00147752369 0.00690780158 0.0000570335 0.0000932062 6489897.731 5871124.429 5975079.637 90.85516 -494.13230 -8.27347 0.0002942398 -85.05276 37.017 0.001773 873.016 276.190 0.00145862198 0.00692333889 0.0000562810 0.0000933185 6493600.198 5880823.053 5978480.980 93.15113 -507.10838 -8.15102 0.0002935994 -89.27679 38.020 0.001821 873.172 276.362 0.00143971590 0.00693833386 0.0000555265 0.0000934176 6497678.613 5890972.967 5982435.056 95.42492 -520.00941 -8.00868 0.0002929441 -93.59224 39.001 0.001868 873.339 276.534 0.00142120293 0.00695248442 0.0000547862 0.0000935018 6502037.312 5901346.791 5986845.363 97.62904 -532.56604 -7.84991 0.0002922880 -97.90558 40.003 0.001916 873.524 276.714 0.00140229891 0.00696638587 0.0000540288 0.0000935747 6506863.010 5912383.809 5991902.881 99.85643 -545.30957 -7.66783 0.0002916035 -102.39959 41.005 0.001964 873.723 276.898 0.00138340144 0.00697972410 0.0000532703 0.0000936343 6512068.428 5923865.555 5997523.175 102.05908 -557.96885 -7.46550 0.0002909046 -106.98260 42.008 0.002012 873.936 277.086 0.00136451427 0.00699249155 0.0000525108 0.0000936807 6517655.391 5935789.356 6003710.096 104.23610 -570.54066 -7.24278 0.0002901915 -111.65380 43.010 0.002060 874.164 277.278 0.00134564122 0.00700468033 0.0000517506 0.0000937138 6523626.040 5948152.246 6010467.771 106.38659 -583.02172 -6.99950 0.0002894643 -116.41234 44.012 0.002108 874.407 277.474 0.00132678613 0.00701628222 0.0000509899 0.0000937335 6529982.860 5960950.933 6017800.625 108.50962 -595.40865 -6.73552 0.0002887235 -121.25739 45.014 0.002156 874.664 277.673 0.00130795290 0.00702728862 0.0000502290 0.0000937400 6536728.707 5974181.751 6025713.412 110.60428 -607.69802 -6.45066 0.0002879690 -126.18809 46.017 0.002204 874.936 277.876 0.00128914547 0.00703769053 0.0000494682 0.0000937332 6543866.838 5987840.607 6034211.247 112.66960 -619.88628 -6.14473 0.0002872013 -131.20359 47.019 0.002252 875.223 278.083 0.00127036785 0.00704747847 0.0000487075 0.0000937130 6551400.951 6001922.914 6043299.650 114.70463 -631.96982 -5.81755 0.0002864205 -136.30300 48.000 0.002299 875.519 278.289 0.00125201420 0.00705645802 0.0000479632 0.0000936804 6559165.812 6016117.197 6052776.700 116.66695 -643.69654 -5.47638 0.0002856435 -141.37666 49.002 0.002347 875.835 278.503 0.00123330755 0.00706500093 0.0000472037 0.0000936339 6567496.458 6031021.756 6063052.051 118.63907 -655.56170 -5.10646 0.0002848376 -146.63957 50.005 0.002395 876.167 278.720 0.00121464294 0.00707289845 0.0000464451 0.0000935742 6576237.135 6046332.339 6073937.384 120.57787 -667.31067 -4.71459 0.0002840193 -151.98375 51.007 0.002443 876.515 278.941 0.00119602458 0.00708013866 0.0000456877 0.0000935011 6585393.766 6062041.421 6085440.490 122.48229 -678.93936 -4.30048 0.0002831889 -157.40829 52.009 0.002491 876.878 279.165 0.00117745677 0.00708670871 0.0000449317 0.0000934149 6594973.006 6078140.331 6097570.014 124.35123 -690.44348 -3.86382 0.0002823466 -162.91227 53.011 0.002539 877.257 279.391 0.00115894384 0.00709259466 0.0000441773 0.0000933154 6604982.347 6094618.964 6110335.661 126.18353 -701.81857 -3.40425 0.0002814928 -168.49475 54.014 0.002587 877.653 279.621 0.00114049026 0.00709778111 0.0000434248 0.0000932028 6615430.255 6111465.367 6123748.491 127.97800 -713.05989 -2.92139 0.0002806276 -174.15480 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0.0002997791 44.71297 335.017 0.016045 892.356 274.110 0.00249481747 0.00511409616 0.0000911123 0.0000651298 7012648.762 6177251.000 6760017.880 230.94433 341.12587 240.21237 0.0003002421 47.36803 336.019 0.016093 891.567 274.005 0.00248199986 0.00515510775 0.0000908456 0.0000658425 6990910.159 6157038.754 6731514.271 233.36487 327.96973 239.18624 0.0003006880 49.89831 337.000 0.016140 890.809 273.907 0.00246926831 0.00519494699 0.0000905724 0.0000665356 6970100.560 6137784.446 6704108.878 235.74644 315.03016 238.19965 0.0003011080 52.25518 338.003 0.016188 890.052 273.811 0.00245608397 0.00523530584 0.0000902812 0.0000672386 6949331.440 6118665.338 6676635.939 238.19010 301.75868 237.21062 0.0003015198 54.53917 339.005 0.016236 889.310 273.721 0.00244271874 0.00527532991 0.0000899777 0.0000679364 6929047.625 6100093.466 6649684.332 240.64505 288.43213 236.24037 0.0003019141 56.69909 340.007 0.016284 888.585 273.634 0.00242917556 0.00531501597 0.0000896621 0.0000686288 6909246.095 6082065.521 6623254.352 243.11099 275.05265 235.28889 0.0003022909 58.73520 341.009 0.016332 887.875 273.553 0.00241545735 0.00535436087 0.0000893344 0.0000693155 6889923.858 6064578.275 6597346.228 245.58762 261.62236 234.35619 0.0003026499 60.64778 342.012 0.016380 887.182 273.476 0.00240156704 0.00539336152 0.0000889948 0.0000699964 6871077.941 6047628.579 6571960.131 248.07464 248.14336 233.44230 0.0003029912 62.43712 343.014 0.016428 886.505 273.404 0.00238750753 0.00543201488 0.0000886433 0.0000706713 6852705.399 6031213.367 6547096.177 250.57173 234.61774 232.54719 0.0003033146 64.10354 344.016 0.016476 885.844 273.336 0.00237328174 0.00547031801 0.0000882800 0.0000713399 6834803.308 6015329.651 6522754.433 253.07855 221.04757 231.67089 0.0003036199 65.64736 345.018 0.016524 885.199 273.273 0.00235889253 0.00550826798 0.0000879052 0.0000720020 6817368.773 5999974.526 6498934.919 255.59477 207.43491 230.81339 0.0003039072 67.06889 346.020 0.016572 884.571 273.215 0.00234434280 0.00554586194 0.0000875187 0.0000726575 6800398.922 5985145.166 6475637.612 258.12002 193.78181 229.97468 0.0003041763 68.36850 347.002 0.016619 883.970 273.162 0.00232994342 0.00558232502 0.0000871293 0.0000732927 6784230.133 5971131.560 6453331.609 260.60107 180.37593 229.17167 0.0003044220 69.52324 348.004 0.016667 883.373 273.113 0.00231508445 0.00561920613 0.0000867205 0.0000739344 6768171.604 5957334.764 6431067.627 263.14312 166.64878 228.37017 0.0003046549 70.58259 349.006 0.016715 882.792 273.068 0.00230007349 0.00565572296 0.0000863004 0.0000745689 6752569.358 5944055.792 6409325.577 265.69310 152.88723 227.58745 0.0003048693 71.52112 350.009 0.016763 882.227 273.028 0.00228491339 0.00569187282 0.0000858694 0.0000751959 6737420.629 5931292.136 6388105.308 268.25060 139.09329 226.82352 0.0003050653 72.33921 351.011 0.016811 881.678 272.992 0.00226960699 0.00572765303 0.0000854274 0.0000758153 6722722.678 5919041.369 6367406.648 270.81523 125.26895 226.07837 0.0003052427 73.03727 352.013 0.016859 881.144 272.961 0.00225415713 0.00576306095 0.0000849747 0.0000764269 6708472.792 5907301.138 6347229.404 273.38656 111.41621 225.35199 0.0003054015 73.61570 353.015 0.016907 880.627 272.934 0.00223856664 0.00579809396 0.0000845113 0.0000770304 6694668.289 5896069.170 6327573.371 275.96417 97.53705 224.64437 0.0003055417 74.07493 354.018 0.016955 880.125 272.912 0.00222283835 0.00583274943 0.0000840375 0.0000776258 6681306.512 5885343.268 6308438.328 278.54762 83.63345 223.95551 0.0003056632 74.41540 355.020 0.017003 879.640 272.894 0.00220697508 0.00586702477 0.0000835533 0.0000782128 6668384.836 5875121.311 6289824.050 281.13648 69.70739 223.28540 0.0003057660 74.63755 356.001 0.017050 879.179 272.882 0.00219131422 0.00590021523 0.0000830693 0.0000787792 6656156.304 5865598.645 6272101.950 283.67619 56.05160 222.64740 0.0003058485 74.74086 357.003 0.017098 878.725 272.873 0.00217519211 0.00593373060 0.0000825651 0.0000793491 6644098.029 5856368.111 6254517.668 286.27439 42.08692 222.01437 0.0003059142 74.73019 358.006 0.017146 878.286 272.869 0.00215894342 0.00596685814 0.0000820510 0.0000799101 6632472.204 5847635.637 6237453.461 288.87660 28.10566 221.40006 0.0003059610 74.60257 359.008 0.017194 877.863 272.869 0.00214257095 0.00599959524 0.0000815271 0.0000804619 6621276.320 5839399.392 6220909.104 291.48234 14.10979 220.80446 0.0003059891 74.35850 360.010 0.017242 877.456 272.874 0.00212607753 0.00603193932 0.0000809937 0.0000810046 6610507.900 5831657.611 6204884.382 294.09113 0.10128 220.22757 0.0003059983 73.99846 Engine speed (Hz) = 58.0000000000 Output power (W) = 4291.4042936617 Heat into heater (W) = 17057.2855126168 Heat to regenerator (W) = 5.8740793602 Heat removal from cooler (W) = 12773.1989570750 Approximate Pumping loss (W) = -11625.8492530604 Thermal efficiency (%) = 25.1587762337 The average engine pressure (Pa) = 8504602.4737642296 The exp space work per cycle (J) = 294.1104591507 The comp space work per cycle (J) = -220.1207299497 The net work per cycle (J) = 73.9897292011 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -991.7613029568 The expansion work for Vmin-to-Vmax (J) = 1065.7510321578 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 878.620 272.929 0.00212888793 0.00602344836 0.0000809929 0.0000810053 6628090.608 5824567.750 6210627.313 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.010 0.000048 878.235 272.941 0.00211235985 0.00605532658 0.0000804523 0.0000815365 6617934.958 5817491.869 6195108.604 2.58206 -13.96163 -0.55867 0.0003059887 -0.48680 2.008 0.000095 877.867 272.956 0.00209571591 0.00608681196 0.0000799024 0.0000820581 6608196.291 5810903.199 6180104.179 5.16609 -27.93302 -1.09883 0.0003059605 -1.08774 3.006 0.000142 877.513 272.977 0.00207895887 0.00611790186 0.0000793436 0.0000825700 6598872.169 5804800.203 6165613.914 7.75160 -41.91222 -1.62048 0.0003059136 -1.80233 4.005 0.000189 877.175 273.001 0.00206209151 0.00614859360 0.0000787759 0.0000830722 6589960.184 5799181.408 6151637.708 10.33807 -55.89727 -2.12363 0.0003058481 -2.63004 5.003 0.000236 876.852 273.030 0.00204511661 0.00617888449 0.0000781995 0.0000835644 6581457.961 5794045.402 6138175.481 12.92498 -69.88621 -2.60827 0.0003057639 -3.57033 6.001 0.000283 876.544 273.064 0.00202803695 0.00620877179 0.0000776147 0.0000840464 6573363.159 5789390.835 6125227.185 15.51178 -83.87705 -3.07440 0.0003056611 -4.62269 7.021 0.000331 876.246 273.103 0.00201048868 0.00623887555 0.0000770089 0.0000845282 6565514.245 5785132.801 6112533.822 18.15295 -98.16548 -3.53137 0.0003055370 -5.81252 8.019 0.000378 875.968 273.146 0.00199320581 0.00626793856 0.0000764074 0.0000849893 6558235.942 5781447.457 6100624.298 20.73787 -112.15410 -3.96011 0.0003053967 -7.08969 9.017 0.000425 875.706 273.193 0.00197582665 0.00629658948 0.0000757980 0.0000854400 6551358.197 5778239.806 6089228.754 23.32104 -126.13861 -4.37035 0.0003052380 -8.47724 10.016 0.000472 875.459 273.244 0.00195835402 0.00632482538 0.0000751809 0.0000858799 6544878.811 5775508.713 6078347.284 25.90186 -140.11696 -4.76208 0.0003050608 -9.97461 11.014 0.000519 875.227 273.300 0.00194079074 0.00635264330 0.0000745562 0.0000863090 6538795.626 5773253.089 6067980.026 28.47977 -154.08714 -5.13530 0.0003048652 -11.58121 12.012 0.000566 875.010 273.361 0.00192313965 0.00638004022 0.0000739241 0.0000867272 6533106.526 5771471.892 6058127.166 31.05419 -168.04709 -5.49001 0.0003046512 -13.29646 13.010 0.000613 874.807 273.426 0.00190540363 0.00640701303 0.0000732848 0.0000871343 6527809.438 5770164.122 6048788.939 33.62451 -181.99474 -5.82618 0.0003044191 -15.11977 14.009 0.000660 874.619 273.495 0.00188758553 0.00643355859 0.0000726385 0.0000875302 6522902.333 5769328.817 6039965.636 36.19013 -195.92800 -6.14382 0.0003041687 -17.05053 15.007 0.000707 874.446 273.569 0.00186968824 0.00645967365 0.0000719854 0.0000879148 6518383.232 5768965.049 6031657.604 38.75045 -209.84478 -6.44291 0.0003039002 -19.08814 16.005 0.000754 874.288 273.647 0.00185171468 0.00648535493 0.0000713257 0.0000882879 6514250.204 5769071.926 6023865.251 41.30484 -223.74295 -6.72343 0.0003036136 -21.23198 17.004 0.000801 874.145 273.730 0.00183366775 0.00651059902 0.0000706596 0.0000886495 6510501.372 5769648.580 6016589.051 43.85268 -237.62036 -6.98538 0.0003033091 -23.48143 18.002 0.000848 874.015 273.817 0.00181555040 0.00653540244 0.0000699873 0.0000889994 6507134.917 5770694.170 6009829.545 46.39332 -251.47484 -7.22872 0.0003029868 -25.83585 19.000 0.000895 873.901 273.909 0.00179736560 0.00655976164 0.0000693091 0.0000893376 6504149.076 5772207.873 6003587.345 48.92613 -265.30419 -7.45344 0.0003026466 -28.29460 20.020 0.000943 873.799 274.007 0.00177872736 0.00658417680 0.0000686104 0.0000896707 6501490.792 5774236.103 5997746.982 51.50406 -279.39955 -7.66369 0.0003022811 -30.91269 21.018 0.000990 873.714 274.107 0.00176041533 0.00660762680 0.0000679206 0.0000899848 6499269.168 5776693.542 5992552.588 54.01902 -293.17130 -7.85069 0.0003019054 -33.58035 22.016 0.001037 873.643 274.212 0.00174204493 0.00663062117 0.0000672255 0.0000902868 6497423.242 5779616.684 5987877.829 56.52415 -306.91114 -8.01898 0.0003015122 -36.35036 23.014 0.001084 873.586 274.322 0.00172361922 0.00665315594 0.0000665252 0.0000905766 6495951.533 5783004.739 5983723.647 59.01876 -320.61675 -8.16853 0.0003011018 -39.22207 24.013 0.001131 873.544 274.435 0.00170514126 0.00667522701 0.0000658200 0.0000908542 6494852.645 5786856.911 5980091.078 61.50216 -334.28578 -8.29930 0.0003006742 -42.19478 25.011 0.001178 873.516 274.553 0.00168661419 0.00669683013 0.0000651100 0.0000911195 6494125.268 5791172.391 5976981.253 63.97366 -347.91587 -8.41126 0.0003002295 -45.26781 26.009 0.001225 873.502 274.676 0.00166804112 0.00671796095 0.0000643955 0.0000913724 6493768.184 5795950.351 5974395.406 66.43254 -361.50461 -8.50435 0.0002997679 -48.44048 27.008 0.001272 873.502 274.802 0.00164942523 0.00673861498 0.0000636768 0.0000916127 6493780.279 5801189.936 5972334.879 68.87810 -375.04955 -8.57853 0.0002992895 -51.71207 28.006 0.001319 873.517 274.933 0.00163076973 0.00675878758 0.0000629539 0.0000918406 6494160.544 5806890.257 5970801.125 71.30960 -388.54820 -8.63374 0.0002987945 -55.08189 29.004 0.001366 873.545 275.069 0.00161207784 0.00677847396 0.0000622272 0.0000920558 6494908.086 5813050.383 5969795.717 73.72632 -401.99805 -8.66994 0.0002982829 -58.54921 30.002 0.001413 873.588 275.208 0.00159335283 0.00679766917 0.0000614968 0.0000922582 6496022.137 5819669.332 5969320.350 76.12751 -415.39652 -8.68705 0.0002977551 -62.11331 31.001 0.001460 873.644 275.352 0.00157459800 0.00681636811 0.0000607631 0.0000924480 6497502.059 5826746.056 5969376.851 78.51241 -428.74101 -8.68502 0.0002972111 -65.77347 32.020 0.001508 873.716 275.504 0.00155541683 0.00683494719 0.0000600104 0.0000926285 6499390.589 5834444.678 5969985.562 80.93046 -442.31095 -8.66310 0.0002966390 -69.60986 33.018 0.001555 873.801 275.656 0.00153661196 0.00685262671 0.0000592704 0.0000927923 6501608.693 5842443.195 5971123.266 83.28011 -455.53818 -8.62215 0.0002960627 -73.46189 34.017 0.001602 873.900 275.813 0.00151778746 0.00686979345 0.0000585277 0.0000929432 6504191.657 5850895.841 5972799.226 85.61113 -468.70326 -8.56181 0.0002954709 -77.40772 35.015 0.001649 874.013 275.974 0.00149894680 0.00688644155 0.0000577824 0.0000930811 6507139.486 5859801.204 5975015.869 87.92275 -481.80340 -8.48201 0.0002948635 -81.44657 36.013 0.001696 874.139 276.139 0.00148009346 0.00690256494 0.0000570349 0.0000932060 6510452.376 5869157.743 5977775.795 90.21414 -494.83574 -8.38265 0.0002942409 -85.57767 37.012 0.001743 874.280 276.308 0.00146123098 0.00691815734 0.0000562853 0.0000933179 6514130.726 5878963.777 5981081.787 92.48450 -507.79737 -8.26364 0.0002936032 -89.80026 38.010 0.001790 874.435 276.481 0.00144236294 0.00693321223 0.0000555338 0.0000934167 6518175.158 5889217.457 5984936.819 94.73300 -520.68532 -8.12486 0.0002929505 -94.11353 39.008 0.001837 874.603 276.659 0.00142349295 0.00694772284 0.0000547808 0.0000935024 6522586.529 5899916.756 5989344.075 96.95880 -533.49657 -7.96620 0.0002922832 -98.51669 40.006 0.001884 874.786 276.840 0.00140462467 0.00696168214 0.0000540264 0.0000935749 6527365.951 5911059.436 5994306.959 99.16105 -546.22802 -7.78753 0.0002916013 -103.00894 41.005 0.001931 874.982 277.025 0.00138576183 0.00697508281 0.0000532708 0.0000936343 6532514.815 5922643.025 5999829.113 101.33888 -558.87652 -7.58874 0.0002909051 -107.58947 42.003 0.001978 875.193 277.214 0.00136690818 0.00698791724 0.0000525143 0.0000936805 6538034.807 5934664.790 6005914.437 103.49142 -571.43885 -7.36966 0.0002901948 -112.25745 43.001 0.002025 875.417 277.407 0.00134806752 0.00700017750 0.0000517571 0.0000937135 6543927.933 5947121.697 6012567.107 105.61777 -583.91169 -7.13017 0.0002894707 -117.01205 44.021 0.002073 875.661 277.609 0.00132884341 0.00701209737 0.0000509834 0.0000937336 6550334.024 5960289.267 6019951.565 107.76139 -596.55406 -6.86433 0.0002887170 -121.95635 45.019 0.002120 875.915 277.809 0.00131004082 0.00702317137 0.0000502255 0.0000937400 6556988.944 5973615.023 6027765.030 109.83204 -608.83565 -6.58304 0.0002879655 -126.88346 46.017 0.002167 876.183 278.014 0.00129126302 0.00703364496 0.0000494676 0.0000937331 6564025.300 5987364.505 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7242326.401 6372380.545 7046931.844 207.61972 455.63299 253.01874 0.0002954828 13.97830 327.001 0.015396 900.162 275.107 0.00259185181 0.00476594310 0.0000927892 0.0000592852 7216314.480 6347258.302 7013894.413 209.90055 443.19540 251.82939 0.0002960744 17.61187 328.021 0.015444 899.235 274.963 0.00258049246 0.00481015962 0.0000926215 0.0000600408 7190281.412 6322204.921 6980676.402 212.24365 430.41082 250.63355 0.0002966623 21.19375 329.019 0.015491 898.344 274.826 0.00256915793 0.00485315954 0.0000924443 0.0000607777 7165308.583 6298260.070 6948663.256 214.55125 417.81428 249.48107 0.0002972221 24.57475 330.017 0.015538 897.468 274.695 0.00255761679 0.00489586294 0.0000922543 0.0000615114 7140844.916 6274891.523 6917158.762 216.87187 405.14258 248.34691 0.0002977658 27.83094 331.016 0.015585 896.609 274.568 0.00254587201 0.00493826577 0.0000920516 0.0000622417 7116887.179 6252095.275 6886164.029 219.20533 392.39798 247.23110 0.0002982933 30.96243 332.014 0.015632 895.765 274.447 0.00253392655 0.00498036406 0.0000918361 0.0000629683 7093432.157 6229867.396 6855680.059 221.55145 379.58273 246.13368 0.0002988045 33.96936 333.012 0.015679 894.938 274.330 0.00252178333 0.00502215400 0.0000916081 0.0000636911 7070476.658 6208204.031 6825707.755 223.91004 366.69905 245.05467 0.0002992992 36.85188 334.011 0.015726 894.126 274.217 0.00250944531 0.00506363184 0.0000913674 0.0000644098 7048017.506 6187101.405 6796247.924 226.28089 353.74913 243.99412 0.0002997772 39.61016 335.009 0.015773 893.331 274.110 0.00249691539 0.00510479396 0.0000911143 0.0000651242 7026051.546 6166555.816 6767301.284 228.66379 340.73517 242.95204 0.0003002385 42.24438 336.007 0.015820 892.551 274.007 0.00248419650 0.00514563681 0.0000908488 0.0000658340 7004575.645 6146563.645 6738868.468 231.05849 327.65933 241.92846 0.0003006829 44.75474 337.005 0.015867 891.788 273.909 0.00247129152 0.00518615695 0.0000905710 0.0000665392 6983586.690 6127121.351 6710950.026 233.46477 314.52374 240.92340 0.0003011101 47.14147 338.004 0.015914 891.041 273.816 0.00245820336 0.00522635102 0.0000902809 0.0000672394 6963081.590 6108225.473 6683546.436 235.88236 301.33054 239.93687 0.0003015202 49.40479 339.002 0.015961 890.309 273.727 0.00244493490 0.00526621574 0.0000899786 0.0000679344 6943057.277 6089872.631 6656658.102 238.31099 288.08183 238.96889 0.0003019130 51.54495 340.000 0.016008 889.594 273.643 0.00243148900 0.00530574789 0.0000896643 0.0000686241 6923510.704 6072059.526 6630285.365 240.75040 274.77971 238.01947 0.0003022884 53.56221 341.020 0.016056 888.880 273.562 0.00241757685 0.00534577465 0.0000893310 0.0000693226 6904038.200 6054421.161 6603883.959 243.25251 261.14159 237.06902 0.0003026536 55.49582 342.018 0.016103 888.197 273.487 0.00240378104 0.00538462511 0.0000889926 0.0000700008 6885448.067 6037689.275 6578554.166 245.71278 247.73783 236.15715 0.0003029933 57.26552 343.016 0.016150 887.529 273.417 0.00238981640 0.00542313374 0.0000886424 0.0000706729 6867326.614 6021487.656 6553740.632 248.18291 234.28687 235.26386 0.0003033153 58.91318 344.015 0.016197 886.878 273.351 0.00237568577 0.00546129759 0.0000882806 0.0000713389 6849670.889 6005813.331 6529443.470 250.66258 220.79077 234.38916 0.0003036195 60.43914 345.013 0.016244 886.243 273.290 0.00236139199 0.00549911377 0.0000879072 0.0000719985 6832477.965 5990663.413 6505662.749 253.15144 207.25153 233.53305 0.0003039057 61.84370 346.011 0.016291 885.623 273.233 0.00234693786 0.00553657944 0.0000875224 0.0000726514 6815744.941 5976035.093 6482398.496 255.64917 193.67116 232.69554 0.0003041738 63.12722 347.009 0.016338 885.020 273.181 0.00233232620 0.00557369179 0.0000871263 0.0000732976 6799468.940 5961925.645 6459650.702 258.15539 180.05167 231.87662 0.0003044239 64.29004 348.008 0.016385 884.432 273.134 0.00231755980 0.00561044808 0.0000867190 0.0000739367 6783647.109 5948332.422 6437419.322 260.66975 166.39505 231.07629 0.0003046557 65.33252 349.006 0.016432 883.860 273.091 0.00230264146 0.00564684557 0.0000863006 0.0000745687 6768276.623 5935252.858 6415704.283 263.19187 152.70326 230.29455 0.0003048692 66.25504 350.004 0.016479 883.304 273.053 0.00228757398 0.00568288157 0.0000858712 0.0000751932 6753354.681 5922684.467 6394505.483 265.72137 138.97830 229.53139 0.0003050645 67.05799 351.003 0.016526 882.764 273.019 0.00227236013 0.00571855343 0.0000854311 0.0000758102 6738878.508 5910624.843 6373822.801 268.25784 125.22210 228.78682 0.0003052413 67.74176 352.001 0.016573 882.239 272.990 0.00225700269 0.00575385851 0.0000849803 0.0000764195 6724845.354 5899071.655 6353656.095 270.80089 111.43665 228.06081 0.0003053997 68.30676 353.020 0.016621 881.720 272.965 0.00224117318 0.00578953347 0.0000845089 0.0000770335 6710968.054 5887793.029 6333592.707 273.40440 97.32971 227.33853 0.0003055424 68.76162 354.019 0.016668 881.227 272.945 0.00222553398 0.00582408920 0.0000840369 0.0000776264 6697822.083 5877256.695 6314468.438 275.95945 83.49106 226.65006 0.0003056634 69.08784 355.017 0.016715 880.750 272.929 0.00220975956 0.00585827027 0.0000835547 0.0000782111 6685110.989 5867220.229 6295859.639 278.51980 69.62904 225.98014 0.0003057658 69.29657 356.015 0.016762 880.288 272.918 0.00219385268 0.00589207411 0.0000830623 0.0000787873 6672832.131 5857681.608 6277766.126 281.08499 55.74558 225.32878 0.0003058496 69.38827 357.013 0.016809 879.842 272.911 0.00217781612 0.00592549814 0.0000825599 0.0000793548 6660982.897 5848638.883 6260187.715 283.65457 41.84263 224.69595 0.0003059147 69.36340 358.012 0.016856 879.411 272.909 0.00216165263 0.00595853977 0.0000820478 0.0000799135 6649560.700 5840090.176 6243124.225 286.22808 27.92213 224.08167 0.0003059612 69.22241 359.010 0.016903 878.996 272.911 0.00214536497 0.00599119641 0.0000815260 0.0000804631 6638562.984 5832033.682 6226575.477 288.80505 13.98601 223.48591 0.0003059891 68.96580 360.008 0.016950 878.597 272.918 0.00212895590 0.00602346547 0.0000809947 0.0000810036 6627987.221 5824467.665 6210541.304 291.38499 0.03623 222.90868 0.0003059983 68.59403 Engine speed (Hz) = 59.0000000000 Output power (W) = 4046.5076835946 Heat into heater (W) = 17191.7146104176 Heat to regenerator (W) = 2.1374573652 Heat removal from cooler (W) = 13151.6122405979 Approximate Pumping loss (W) = -12185.8439693864 Thermal efficiency (%) = 23.5375457032 The average engine pressure (Pa) = 8506824.2942367159 The exp space work per cycle (J) = 291.3740527276 The comp space work per cycle (J) = -222.7891767345 The net work per cycle (J) = 68.5848759931 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -994.5738691912 The expansion work for Vmin-to-Vmax (J) = 1063.1587451844 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 879.775 272.972 0.00213194518 0.00601455653 0.0000809991 0.0000809992 6645831.646 5817321.616 6216525.973 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.015 0.000047 879.391 272.985 0.00211515645 0.00604703151 0.0000804493 0.0000815393 6635658.222 5810271.645 6200667.459 2.60666 -14.19525 -0.57091 0.0003059886 -0.50830 2.009 0.000093 879.030 273.003 0.00209860745 0.00607842449 0.0000799020 0.0000820585 6626116.610 5803859.537 6185660.458 5.15981 -28.09941 -1.11116 0.0003059605 -1.12019 3.002 0.000139 878.684 273.025 0.00208194498 0.00610942799 0.0000793458 0.0000825680 6616983.378 5797928.528 6171161.946 7.71439 -42.01245 -1.63310 0.0003059138 -1.84477 4.018 0.000186 878.347 273.052 0.00206480590 0.00614070041 0.0000787685 0.0000830786 6608070.827 5792363.984 6156873.377 10.32545 -56.23512 -2.14749 0.0003058471 -2.70094 5.011 0.000232 878.031 273.083 0.00204792233 0.00617090830 0.0000781947 0.0000835684 6599755.737 5787401.288 6143402.740 12.88136 -70.16023 -2.63244 0.0003057631 -3.65174 6.005 0.000278 877.731 273.118 0.00203093352 0.00620071855 0.0000776126 0.0000840482 6591841.674 5782915.516 6130440.488 15.43715 -84.08837 -3.09908 0.0003056607 -4.71365 7.020 0.000325 877.439 273.159 0.00201346955 0.00623076330 0.0000770093 0.0000845278 6584167.294 5778823.499 6117721.554 18.04782 -98.32039 -3.55696 0.0003055371 -5.91283 8.014 0.000371 877.169 273.204 0.00199627635 0.00625976118 0.0000764107 0.0000849869 6577056.784 5775298.135 6105787.225 20.60173 -112.24868 -3.98659 0.0003053976 -7.19770 9.007 0.000417 876.913 273.253 0.00197898624 0.00628835295 0.0000758042 0.0000854355 6570340.229 5772246.037 6094361.452 23.15389 -126.17406 -4.39792 0.0003052397 -8.59203 10.001 0.000463 876.672 273.306 0.00196160196 0.00631653572 0.0000751901 0.0000858735 6564015.355 5769666.099 6083444.365 25.70375 -140.09455 -4.79094 0.0003050635 -10.09524 11.016 0.000510 876.441 273.365 0.00194374542 0.00634490565 0.0000745548 0.0000863099 6557955.203 5767516.640 6072815.526 28.30607 -154.31050 -5.17358 0.0003048647 -11.74300 12.010 0.000556 876.230 273.427 0.00192617930 0.00637225243 0.0000739257 0.0000867261 6552415.412 5765888.095 6062927.452 30.84953 -168.21494 -5.52955 0.0003046518 -13.46461 13.003 0.000602 876.033 273.494 0.00190852748 0.00639918109 0.0000732894 0.0000871314 6547260.659 5764728.639 6053548.734 33.38896 -182.10837 -5.86718 0.0003044208 -15.29336 14.018 0.000649 875.847 273.566 0.00189040634 0.00642626003 0.0000726322 0.0000875340 6542389.329 5764027.503 6044492.555 35.97882 -196.29031 -6.19320 0.0003041661 -17.27190 15.012 0.000695 875.680 273.642 0.00187258989 0.00645233368 0.0000719821 0.0000879167 6538006.601 5763813.605 6036144.670 38.50828 -210.15518 -6.49373 0.0003038988 -19.31544 16.006 0.000741 875.526 273.722 0.00185469633 0.00647797949 0.0000713255 0.0000882880 6534002.649 5764066.074 6028307.295 41.03191 -224.00275 -6.77587 0.0003036135 -21.46429 17.021 0.000788 875.385 273.808 0.00183633713 0.00650373739 0.0000706480 0.0000886556 6530300.814 5764804.843 6020827.342 43.60372 -238.13130 -7.04515 0.0003033037 -23.76800 18.014 0.000834 875.261 273.897 0.00181829648 0.00652850778 0.0000699788 0.0000890038 6527056.662 5765997.642 6014023.689 46.11365 -251.93741 -7.29008 0.0003029826 -26.12789 19.008 0.000880 875.151 273.990 0.00180018748 0.00655283986 0.0000693037 0.0000893402 6524185.473 5767654.335 6007732.274 48.61586 -265.71976 -7.51657 0.0003026439 -28.59122 20.002 0.000926 875.055 274.088 0.00178201307 0.00657672995 0.0000686228 0.0000896649 6521685.437 5769774.139 6001953.813 51.10971 -279.47613 -7.72460 0.0003022877 -31.15733 21.017 0.000973 874.972 274.192 0.00176337911 0.00660067900 0.0000679214 0.0000899844 6519512.582 5772417.541 5996580.363 53.64847 -293.50241 -7.91804 0.0003019058 -33.88473 22.010 0.001019 874.904 274.298 0.00174508156 0.00662366395 0.0000672295 0.0000902851 6517757.659 5775471.273 5991841.476 56.12342 -307.19945 -8.08864 0.0003015146 -36.65667 23.004 0.001065 874.851 274.409 0.00172672765 0.00664619526 0.0000665325 0.0000905736 6516368.826 5778985.785 5987618.201 58.58803 -320.86370 -8.24068 0.0003011062 -39.52941 24.019 0.001112 874.811 274.527 0.00170791971 0.00666874357 0.0000658154 0.0000908560 6515326.326 5783051.804 5983836.765 61.09483 -334.78873 -8.37681 0.0003006713 -42.56803 25.013 0.001158 874.786 274.646 0.00168946119 0.00669034508 0.0000651087 0.0000911200 6514673.053 5787495.502 5980659.254 63.53645 -348.37958 -8.49120 0.0003002287 -45.64253 26.006 0.001204 874.774 274.770 0.00167095561 0.00671148018 0.0000643976 0.0000913716 6514381.517 5792397.579 5978000.848 65.96566 -361.93053 -8.58690 0.0002997692 -48.81577 27.000 0.001250 874.777 274.898 0.00165240610 0.00673214441 0.0000636822 0.0000916110 6514450.461 5797757.197 5975862.910 68.38176 -375.43915 -8.66387 0.0002992932 -52.08708 28.015 0.001297 874.794 275.034 0.00163341127 0.00675276668 0.0000629471 0.0000918426 6514892.029 5803704.983 5974217.590 70.83610 -389.19517 -8.72310 0.0002987897 -55.53005 29.009 0.001343 874.824 275.171 0.00161478267 0.00677246461 0.0000622238 0.0000920567 6515686.371 5809986.903 5973136.523 73.22352 -402.61065 -8.76202 0.0002982805 -58.99745 30.002 0.001389 874.868 275.312 0.00159611983 0.00679167720 0.0000614968 0.0000922582 6516838.062 5816723.568 5972580.741 75.59564 -415.97624 -8.78203 0.0002977551 -62.56076 31.018 0.001436 874.927 275.460 0.00157701930 0.00681080087 0.0000607506 0.0000924511 6518383.059 5824075.282 5972557.335 78.00277 -429.57815 -8.78287 0.0002972017 -66.29983 32.011 0.001482 874.998 275.610 0.00155829726 0.00682901649 0.0000600171 0.0000926270 6520254.956 5831728.071 5973069.322 80.34172 -442.83489 -8.76444 0.0002966441 -70.05483 33.005 0.001528 875.083 275.764 0.00153955098 0.00684673082 0.0000592806 0.0000927902 6522482.257 5839832.221 5974112.599 82.66313 -456.03375 -8.72688 0.0002960707 -73.90351 34.020 0.001575 875.184 275.925 0.00152037567 0.00686430663 0.0000585253 0.0000929437 6525124.709 5848577.379 5975729.673 85.01607 -469.45693 -8.66867 0.0002954689 -77.93185 35.014 0.001621 875.296 276.088 0.00150159079 0.00688099003 0.0000577835 0.0000930809 6528069.706 5857589.965 5977854.224 87.29963 -482.53037 -8.59218 0.0002948644 -81.96765 36.007 0.001667 875.422 276.254 0.00148279205 0.00689715446 0.0000570395 0.0000932053 6531369.647 5867049.608 5980517.471 89.56329 -495.53752 -8.49631 0.0002942448 -86.09485 37.001 0.001713 875.562 276.424 0.00146398295 0.00691279363 0.0000562934 0.0000933167 6535024.765 5876954.610 5983722.216 91.80625 -508.47546 -8.38094 0.0002936101 -90.31268 38.016 0.001760 875.718 276.603 0.00144475797 0.00692822347 0.0000555292 0.0000934172 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0.00435543727 0.0000936797 0.0000525294 7479534.554 6581568.250 7336630.262 187.83062 550.80594 265.94690 0.0002902091 -24.57795 319.010 0.014769 908.867 276.393 0.00267412568 0.00440088210 0.0000936335 0.0000532823 7449598.555 6551883.214 7299787.125 189.97830 539.18711 264.62055 0.0002909158 -19.97583 320.004 0.014815 907.843 276.214 0.00266488911 0.00444608375 0.0000935742 0.0000540343 7420200.680 6522813.832 7263427.072 192.13960 527.46953 263.31159 0.0002916085 -15.49747 321.019 0.014862 906.813 276.036 0.00265521247 0.00449201123 0.0000935002 0.0000548015 7390715.967 6493743.517 7226778.122 194.36192 515.39779 261.99222 0.0002923017 -11.04967 322.013 0.014908 905.821 275.866 0.00264551053 0.00453670484 0.0000934146 0.0000555510 7362395.626 6465904.600 7191402.169 196.55065 503.48805 260.71869 0.0002929656 -6.82177 323.006 0.014954 904.845 275.702 0.00263558287 0.00458113938 0.0000933160 0.0000562989 7334603.136 6438667.381 7156516.329 198.75287 491.48691 259.46280 0.0002936148 -2.71782 324.000 0.015000 903.884 275.543 0.00262543244 0.00462530992 0.0000932044 0.0000570449 7307335.125 6412027.364 7122122.616 200.96851 479.39675 258.22463 0.0002942494 1.26214 325.015 0.015047 902.919 275.386 0.00261483430 0.00467016302 0.0000930771 0.0000578051 7280012.545 6385420.420 7087491.457 203.24608 466.95428 256.97790 0.0002948822 5.20057 326.009 0.015093 901.991 275.237 0.00260424243 0.00471378533 0.0000929395 0.0000585468 7253794.656 6359974.317 7054098.284 205.48857 454.69133 255.77575 0.0002954863 8.92988 327.002 0.015139 901.079 275.093 0.00259343662 0.00475712959 0.0000927890 0.0000592860 7228091.148 6335112.226 7021202.493 207.74418 442.34641 254.59150 0.0002960750 12.53527 328.018 0.015186 900.163 274.951 0.00258217797 0.00480112439 0.0000926221 0.0000600384 7202356.703 6310308.452 6988106.834 210.06225 429.65082 253.40006 0.0002966605 16.09110 329.011 0.015232 899.283 274.817 0.00257094853 0.00484389328 0.0000924458 0.0000607719 7177683.049 6286614.247 6956221.016 212.34401 417.14710 252.25217 0.0002972177 19.44613 330.005 0.015278 898.418 274.687 0.00255951392 0.00488637129 0.0000922568 0.0000615022 7153513.831 6263491.506 6924836.694 214.63847 404.56824 251.12233 0.0002977590 22.67747 331.020 0.015325 897.551 274.560 0.00254762182 0.00492946813 0.0000920507 0.0000622448 7129336.811 6240452.166 6893289.255 216.99576 391.64060 249.98662 0.0002982955 25.85142 332.014 0.015371 896.719 274.441 0.00253578122 0.00497134593 0.0000918362 0.0000629681 7106177.504 6218472.627 6862922.194 219.31541 378.91653 248.89341 0.0002988043 28.83304 333.007 0.015417 895.903 274.326 0.00252374412 0.00501292107 0.0000916093 0.0000636875 7083512.854 6197052.690 6833059.756 221.64723 366.12393 247.81836 0.0002992967 31.69136 334.001 0.015463 895.102 274.215 0.00251151339 0.00505418988 0.0000913698 0.0000644028 7061339.665 6176188.585 6803702.783 223.99103 353.26495 246.76151 0.0002997727 34.42655 335.016 0.015510 894.301 274.108 0.00249881974 0.00509603570 0.0000911125 0.0000651293 7039188.749 6155441.163 6774230.466 226.39794 340.06009 245.70051 0.0003002418 37.09421 336.010 0.015556 893.532 274.007 0.00248620620 0.00513667430 0.0000908481 0.0000658358 7017999.486 6135689.620 6745897.627 228.76530 327.07339 244.68053 0.0003006840 39.58101 337.003 0.015602 892.780 273.911 0.00247340760 0.00517699599 0.0000905716 0.0000665377 6997292.153 6116483.006 6718072.282 231.14396 314.02670 243.67881 0.0003011092 41.94528 338.018 0.015649 892.027 273.818 0.00246014254 0.00521786346 0.0000902765 0.0000672497 6976629.183 6097418.100 6690166.738 233.58574 300.63658 242.67421 0.0003015262 44.23460 339.012 0.015695 891.307 273.731 0.00244697835 0.00525753436 0.0000899755 0.0000679414 6956886.706 6079302.751 6663368.918 235.98649 287.47491 241.70949 0.0003019169 46.35182 340.006 0.015741 890.602 273.649 0.00243363757 0.00529687855 0.0000896626 0.0000686278 6937616.827 6061722.170 6637079.946 238.39775 274.25947 240.76309 0.0003022903 48.34722 341.021 0.015788 889.898 273.570 0.00241982728 0.00533673736 0.0000893306 0.0000693234 6918412.992 6044308.409 6610745.366 240.87201 260.70331 239.81504 0.0003026540 50.26046 342.014 0.015834 889.226 273.497 0.00240613797 0.00537541158 0.0000889938 0.0000699984 6900089.311 6027799.308 6585486.067 243.30367 247.38535 238.90571 0.0003029922 52.01042 343.008 0.015880 888.569 273.429 0.00239228046 0.00541374989 0.0000886454 0.0000706674 6882229.103 6011815.565 6560736.412 245.74497 234.01970 238.01472 0.0003033128 53.63941 344.002 0.015926 887.928 273.365 0.00237825751 0.00545174938 0.0000882854 0.0000713303 6864829.395 5996354.232 6536496.562 248.19559 220.60835 237.14209 0.0003036157 55.14775 345.017 0.015973 887.289 273.305 0.00236376171 0.00549022200 0.0000879057 0.0000720011 6847523.991 5981093.367 6512256.428 250.70878 206.86032 236.26944 0.0003039068 56.56459 346.010 0.016019 886.680 273.251 0.00234941269 0.00552752775 0.0000875227 0.0000726509 6831046.312 5966679.536 6489047.583 253.17724 193.36263 235.43392 0.0003041736 57.82998 347.004 0.016065 886.086 273.201 0.00233490654 0.00556448614 0.0000871285 0.0000732941 6815020.295 5952779.701 6466348.772 255.65402 179.82518 234.61677 0.0003044226 58.97572 348.019 0.016112 885.495 273.154 0.00231992558 0.00560188637 0.0000867142 0.0000739440 6799109.390 5939105.848 6443683.300 258.19285 165.95441 233.80081 0.0003046583 60.02316 349.013 0.016158 884.933 273.114 0.00230511008 0.00563813417 0.0000862977 0.0000745730 6783987.753 5926237.258 6422015.630 260.68533 152.34254 233.02077 0.0003048707 60.92809 350.006 0.016204 884.387 273.077 0.00229014568 0.00567402644 0.0000858703 0.0000751946 6769309.160 5913874.989 6400857.922 263.18502 138.69678 232.25910 0.0003050649 61.71449 351.000 0.016250 883.856 273.045 0.00227503511 0.00570956054 0.0000854322 0.0000758087 6755070.806 5902016.663 6380210.101 265.69153 125.01905 231.51578 0.0003052409 62.38273 352.015 0.016297 883.330 273.017 0.00225944790 0.00574549445 0.0000849737 0.0000764282 6740974.732 5890418.647 6359639.952 268.25915 111.01295 230.77525 0.0003054019 62.94388 353.009 0.016343 882.830 272.995 0.00224405008 0.00578029643 0.0000845143 0.0000770266 6727617.967 5879572.212 6340022.691 270.77823 97.27645 230.06903 0.0003055409 63.37448 354.002 0.016389 882.346 272.976 0.00222851428 0.00581473236 0.0000840447 0.0000776169 6714693.120 5869223.003 6320914.993 273.30290 83.51376 229.38115 0.0003056616 63.68816 355.018 0.016436 881.868 272.962 0.00221250104 0.00584953616 0.0000835543 0.0000782115 6701930.592 5859160.214 6301918.076 275.88780 69.42683 228.69726 0.0003057658 63.88836 356.011 0.016482 881.415 272.953 0.00219669453 0.00588322419 0.0000830643 0.0000787850 6689870.741 5849810.019 6283840.182 278.42249 55.61703 228.04646 0.0003058493 63.96700 357.005 0.016528 880.977 272.948 0.00218075820 0.00591653841 0.0000825643 0.0000793499 6678234.716 5840951.022 6266271.449 280.96146 41.78681 227.41398 0.0003059142 63.93005 358.020 0.016575 880.546 272.948 0.00216434417 0.00595018808 0.0000820435 0.0000799181 6666780.749 5832404.847 6248846.529 283.55959 27.63682 226.78669 0.0003059616 63.77340 359.014 0.016621 880.140 272.952 0.00214815364 0.00598273869 0.0000815241 0.0000804651 6655993.596 5824533.353 6232306.778 286.10584 13.77113 226.19126 0.0003059892 63.50419 360.007 0.016667 879.748 272.961 0.00213184147 0.00601490771 0.0000809953 0.0000810030 6645622.411 5817147.689 6216275.796 288.65500 -0.10922 225.61414 0.0003059983 63.12080 Engine speed (Hz) = 60.0000000000 Output power (W) = 3786.6723054242 Heat into heater (W) = 17319.2998141630 Heat to regenerator (W) = -6.5530663617 Heat removal from cooler (W) = 13536.8484256751 Approximate Pumping loss (W) = -12762.4083323235 Thermal efficiency (%) = 21.8638879519 The average engine pressure (Pa) = 8509172.1623955537 The exp space work per cycle (J) = 288.5785969125 The comp space work per cycle (J) = -225.4673918221 The net work per cycle (J) = 63.1112050904 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -997.4013218208 The expansion work for Vmin-to-Vmax (J) = 1060.5125269112 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 880.931 273.014 0.00213458715 0.00600640600 0.0000809912 0.0000810071 6663461.694 5809763.825 6222095.038 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.003 0.000046 880.563 273.029 0.00211826436 0.00603806968 0.0000804560 0.0000815329 6653716.076 5803045.225 6206585.668 2.51846 -13.81415 -0.55834 0.0003059889 -0.50832 2.013 0.000092 880.203 273.049 0.00210145859 0.00607004390 0.0000798996 0.0000820607 6644171.812 5796670.727 6191250.630 5.09480 -27.94750 -1.11040 0.0003059603 -1.14375 3.001 0.000137 879.865 273.072 0.00208490323 0.00610093582 0.0000793464 0.0000825675 6635241.283 5790915.984 6176756.627 7.61652 -41.78364 -1.63218 0.0003059139 -1.87818 4.011 0.000183 879.536 273.101 0.00206786528 0.00613211563 0.0000787720 0.0000830756 6626524.941 5785523.751 6162459.463 10.19519 -55.93554 -2.14688 0.0003058476 -2.74370 5.022 0.000229 879.221 273.135 0.00205071419 0.00616288964 0.0000781887 0.0000835735 6618223.139 5780625.869 6148686.936 12.77424 -70.09379 -2.64269 0.0003057622 -3.72471 6.010 0.000274 878.928 273.172 0.00203382922 0.00619259921 0.0000776096 0.0000840506 6610500.405 5776311.490 6135721.498 15.29708 -83.94845 -3.10945 0.0003056602 -4.79562 7.020 0.000320 878.644 273.215 0.00201646274 0.00622256188 0.0000770093 0.0000845278 6603010.956 5772387.570 6122986.970 17.87528 -98.11327 -3.56789 0.0003055371 -6.00347 8.008 0.000365 878.381 273.261 0.00199937257 0.00625147210 0.0000764140 0.0000849844 6596077.972 5769023.516 6111037.124 20.39623 -111.97041 -3.99808 0.0003053984 -7.29519 9.018 0.000411 878.127 273.312 0.00198180196 0.00628061178 0.0000757974 0.0000854404 6589390.828 5766068.635 6099340.991 22.97139 -126.13372 -4.41915 0.0003052378 -8.72762 10.007 0.000456 877.893 273.367 0.00196451764 0.00630871106 0.0000751865 0.0000858760 6583237.885 5763650.305 6088407.268 25.48826 -139.98539 -4.81276 0.0003050625 -10.23791 11.017 0.000502 877.668 273.428 0.00194675426 0.00633701571 0.0000745543 0.0000863102 6577343.254 5761659.966 6077750.234 28.05813 -154.13901 -5.19641 0.0003048646 -11.89260 12.005 0.000547 877.463 273.492 0.00192928694 0.00636429204 0.0000739286 0.0000867242 6571960.904 5760183.152 6067833.497 30.56868 -167.97716 -5.55342 0.0003046529 -13.61916 13.015 0.000593 877.269 273.562 0.00191134225 0.00639174913 0.0000732818 0.0000871362 6566849.270 5759153.238 6058216.630 33.13090 -182.11277 -5.89962 0.0003044179 -15.49373 14.003 0.000638 877.092 273.635 0.00189370322 0.00641819001 0.0000726420 0.0000875281 6562228.352 5758614.082 6049318.122 35.63282 -195.92918 -6.21997 0.0003041701 -17.43421 15.013 0.000684 876.927 273.713 0.00187558881 0.00644478647 0.0000719811 0.0000879172 6557890.507 5758540.808 6040742.911 38.18501 -210.03832 -6.52868 0.0003038984 -19.52621 16.002 0.000729 876.779 273.795 0.00185778948 0.00647037882 0.0000713281 0.0000882866 6554022.177 5758935.746 6032864.313 40.67591 -223.82464 -6.81231 0.0003036147 -21.67816 17.012 0.000775 876.643 273.883 0.00183951712 0.00649610096 0.0000706541 0.0000886524 6550449.259 5759815.597 6025332.723 43.21560 -237.89866 -7.08344 0.0003033065 -23.98507 18.000 0.000820 876.523 273.973 0.00182156906 0.00652083104 0.0000699886 0.0000889988 6547325.033 5761141.302 6018476.211 45.69303 -251.64633 -7.33028 0.0003029874 -26.34601 19.010 0.000866 876.416 274.070 0.00180315065 0.00654566447 0.0000693022 0.0000893409 6544508.571 5762970.972 6011990.742 48.21767 -265.67640 -7.56375 0.0003026431 -28.86525 20.020 0.000912 876.322 274.171 0.00178466301 0.00657004294 0.0000686099 0.0000896709 6542071.410 5765279.558 6006035.220 50.73372 -279.68081 -7.77815 0.0003022808 -31.49082 21.009 0.000957 876.245 274.275 0.00176651329 0.00659344738 0.0000679271 0.0000899819 6540052.342 5768000.602 6000722.797 53.18611 -293.35371 -7.96940 0.0003019090 -34.16154 22.019 0.001003 876.180 274.385 0.00174789792 0.00661691396 0.0000672237 0.0000902875 6538359.747 5771254.256 5995818.311 55.68316 -307.30044 -8.14596 0.0003015112 -36.99543 23.007 0.001048 876.131 274.497 0.00172962930 0.00663941837 0.0000665305 0.0000905745 6537065.454 5774898.296 5991536.004 58.11564 -320.91233 -8.30013 0.0003011050 -39.86860 24.017 0.001094 876.094 274.617 0.00171089863 0.00666195654 0.0000658169 0.0000908554 6536110.205 5779093.887 5987686.683 60.59098 -334.79193 -8.43870 0.0003006723 -42.90807 25.005 0.001139 876.072 274.738 0.00169252340 0.00668354427 0.0000651141 0.0000911180 6535533.927 5783657.827 5984438.903 63.00086 -348.33342 -8.55562 0.0003002321 -45.98098 26.015 0.001185 876.063 274.866 0.00167369013 0.00670513649 0.0000643911 0.0000913739 6535309.446 5788792.124 5981649.653 65.45169 -362.13617 -8.65603 0.0002997650 -49.22321 27.004 0.001230 876.068 274.995 0.00165522082 0.00672578986 0.0000636796 0.0000916118 6535445.098 5794272.712 5979441.610 67.83621 -375.59761 -8.73552 0.0002992914 -52.49308 28.014 0.001276 876.087 275.132 0.00163629790 0.00674641747 0.0000629482 0.0000918423 6535945.553 5800342.269 5977718.201 70.25968 -389.31348 -8.79757 0.0002987905 -55.93520 29.002 0.001321 876.119 275.270 0.00161774732 0.00676611764 0.0000622288 0.0000920553 6536787.840 5806735.979 5976555.993 72.61600 -402.68489 -8.83941 0.0002982841 -59.39919 30.012 0.001367 876.165 275.416 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310.002 0.014117 919.677 278.233 0.00274748040 0.00397281445 0.0000935746 0.0000464504 7749860.681 6829673.694 7658395.537 168.96432 639.45373 280.06872 0.0002840250 -71.15657 311.012 0.014163 918.498 278.001 0.00274041373 0.00402070094 0.0000936347 0.0000472149 7715063.267 6794388.822 7617127.423 171.02570 628.58697 278.58307 0.0002848496 -65.48074 312.000 0.014208 917.360 277.779 0.00273324238 0.00406735641 0.0000936804 0.0000479638 7681590.117 6760528.586 7577209.683 173.05536 617.83663 277.14603 0.0002856442 -60.05048 313.011 0.014254 916.213 277.559 0.00272565066 0.00411484722 0.0000937138 0.0000487300 7647949.805 6726582.710 7536872.429 175.14359 606.72768 275.69389 0.0002864438 -54.62472 314.021 0.014300 915.082 277.344 0.00271779810 0.00416212731 0.0000937336 0.0000494966 7614888.762 6693305.592 7497011.900 177.24553 595.50044 274.25891 0.0002872303 -49.32581 315.009 0.014345 913.991 277.140 0.00270986683 0.00420816907 0.0000937400 0.0000502469 7583103.337 6661393.840 7458482.884 179.31509 584.40545 272.87187 0.0002879869 -44.26507 316.019 0.014391 912.893 276.937 0.00270150736 0.00425501225 0.0000937331 0.0000510138 7551177.161 6629423.937 7419576.535 181.44430 572.95226 271.47124 0.0002887469 -39.21781 317.007 0.014436 911.833 276.743 0.00269308610 0.00430061405 0.0000937133 0.0000517637 7520494.765 6598780.862 7381987.681 183.54061 561.64136 270.11804 0.0002894770 -34.40366 318.018 0.014482 910.767 276.551 0.00268423178 0.00434699507 0.0000936797 0.0000525299 7489688.833 6568097.592 7344048.855 185.69721 549.97267 268.75224 0.0002902096 -29.60883 319.006 0.014527 909.740 276.368 0.00267533231 0.00439213298 0.0000936337 0.0000532788 7460095.218 6538703.277 7307412.443 187.82034 538.45601 267.43333 0.0002909125 -25.04193 320.016 0.014573 908.705 276.187 0.00266599517 0.00443802814 0.0000935734 0.0000540433 7430395.024 6509286.512 7270452.935 190.00435 526.58205 266.10279 0.0002916167 -20.50010 321.004 0.014618 907.710 276.015 0.00265662925 0.00448267970 0.0000935014 0.0000547901 7401876.058 6481121.502 7234779.792 192.15425 514.86951 264.81855 0.0002922915 -16.18090 322.014 0.014664 906.708 275.844 0.00264682128 0.00452806675 0.0000934144 0.0000555521 7373267.216 6452951.605 7198809.973 194.36555 502.80031 263.52364 0.0002929665 -11.89245 323.002 0.014709 905.744 275.682 0.00263700062 0.00457221085 0.0000933164 0.0000562959 7345808.885 6425996.943 7164109.591 196.54206 490.90157 262.27443 0.0002936123 -7.82124 324.013 0.014755 904.775 275.522 0.00262673378 0.00461706888 0.0000932029 0.0000570544 7318277.134 6399054.804 7129138.525 198.78043 478.64690 261.01547 0.0002942573 -3.78635 325.001 0.014800 903.843 275.370 0.00261647004 0.00466068569 0.0000930790 0.0000577943 7291865.553 6373292.066 7095419.173 200.98328 466.57144 259.80157 0.0002948733 0.03678 326.011 0.014846 902.906 275.220 0.00260575621 0.00470499502 0.0000929392 0.0000585484 7265396.768 6347559.138 7061454.727 203.24840 454.14088 258.57885 0.0002954876 3.81808 327.021 0.014892 901.986 275.076 0.00259482093 0.00474901986 0.0000927861 0.0000592999 7239459.976 6322430.590 7028001.764 205.52688 441.62499 257.37454 0.0002960859 7.47125 328.009 0.014937 901.102 274.939 0.00258391200 0.00479180797 0.0000926235 0.0000600323 7214598.387 6298428.797 6995772.496 207.76863 429.30089 256.21429 0.0002966558 10.92107 329.019 0.014983 900.214 274.804 0.00257254751 0.00483525664 0.0000924443 0.0000607780 7189703.571 6274482.665 6963335.958 210.07314 416.62316 255.04658 0.0002972223 14.32094 330.008 0.015028 899.361 274.677 0.00256122444 0.00487747268 0.0000922563 0.0000615043 7165854.560 6251629.186 6932103.723 212.34008 404.14520 253.92222 0.0002977605 17.52314 331.018 0.015074 898.506 274.552 0.00254944246 0.00492032822 0.0000920511 0.0000622433 7141987.970 6228848.463 6900688.908 214.67002 391.31472 252.79128 0.0002982944 20.67010 332.006 0.015119 897.686 274.434 0.00253771668 0.00496195607 0.0000918379 0.0000629626 7119138.168 6207126.978 6870458.454 216.96151 378.69172 251.70299 0.0002988005 23.62513 333.016 0.015165 896.863 274.319 0.00252552886 0.00500420244 0.0000916071 0.0000636940 7096286.221 6185495.312 6840069.794 219.31618 365.71740 250.60899 0.0002993011 26.51971 334.004 0.015210 896.075 274.211 0.00251341173 0.00504522684 0.0000913690 0.0000644054 7074422.424 6164890.150 6810845.063 221.63148 352.95800 249.55690 0.0002997744 29.22815 335.015 0.015256 895.284 274.106 0.00250082965 0.00508684887 0.0000911128 0.0000651283 7052571.709 6144391.859 6781486.208 224.01008 339.84861 248.49998 0.0003002411 31.87102 336.003 0.015301 894.528 274.007 0.00248833245 0.00512725535 0.0000908500 0.0000658310 7031680.883 6124888.014 6753270.416 226.34834 326.96129 247.48422 0.0003006810 34.33360 337.013 0.015347 893.770 273.911 0.00247536759 0.00516823862 0.0000905688 0.0000665445 7010818.167 6105508.102 6724944.310 228.74996 313.72542 246.46448 0.0003011133 36.72555 338.001 0.015392 893.045 273.822 0.00246250153 0.00520801345 0.0000902816 0.0000672376 6990887.455 6087091.242 6697740.024 231.11026 300.71853 245.48512 0.0003015192 38.94310 339.011 0.015438 892.320 273.735 0.00244916532 0.00524834424 0.0000899757 0.0000679409 6970999.687 6068815.406 6670448.987 233.53389 287.36465 244.50264 0.0003019166 41.08505 340.021 0.015484 891.611 273.654 0.00243564572 0.00528834019 0.0000896575 0.0000686387 6951599.843 6051092.453 6643681.874 235.96824 273.95428 243.53903 0.0003022962 43.10102 341.010 0.015529 890.933 273.578 0.00242224535 0.00532713951 0.0000893343 0.0000693157 6933090.730 6034286.514 6618003.989 238.35977 260.78283 242.61462 0.0003026501 44.95154 342.020 0.015575 890.257 273.506 0.00240837146 0.00536646348 0.0000889919 0.0000700020 6914646.539 6017647.421 6592274.411 240.81446 247.26696 241.68836 0.0003029939 46.71912 343.008 0.015620 889.611 273.440 0.00239463003 0.00540459935 0.0000886454 0.0000706674 6897066.128 6001895.555 6567612.076 243.22528 233.99629 240.80052 0.0003033128 48.32722 344.018 0.015666 888.967 273.377 0.00238041312 0.00544323903 0.0000882793 0.0000713413 6879565.012 5986327.769 6542921.093 245.69908 220.38306 239.91164 0.0003036206 49.84762 345.006 0.015711 888.352 273.320 0.00236634159 0.00548069964 0.0000879097 0.0000719942 6862901.091 5971618.037 6519275.147 248.12796 207.02112 239.06039 0.0003039039 51.21453 346.017 0.015757 887.740 273.267 0.00235179285 0.00551864317 0.0000875203 0.0000726549 6846330.664 5957109.704 6495623.434 250.61955 193.31861 238.20892 0.0003041752 52.48906 347.005 0.015802 887.157 273.219 0.00233740217 0.00555541710 0.0000871282 0.0000732946 6830571.211 5943430.847 6472994.374 253.06516 179.87323 237.39428 0.0003044227 53.61612 348.015 0.015848 886.576 273.174 0.00232253274 0.00559265299 0.0000867160 0.0000739413 6814919.278 5929970.801 6450382.283 255.57314 166.08942 236.58024 0.0003046573 54.64618 349.003 0.015893 886.025 273.135 0.00230783378 0.00562872915 0.0000863018 0.0000745669 6800052.460 5917312.233 6428770.318 258.03407 152.56840 235.80221 0.0003048687 55.53481 350.013 0.015939 885.476 273.100 0.00229265477 0.00566524619 0.0000858673 0.0000751988 6785307.021 5904889.992 6407197.941 260.55694 138.71120 235.02561 0.0003050662 56.32190 351.001 0.015984 884.955 273.070 0.00227765838 0.00570061376 0.0000854316 0.0000758096 6771321.190 5893241.786 6386603.056 263.03170 125.12224 234.28419 0.0003052411 56.97362 352.012 0.016030 884.439 273.045 0.00226218085 0.00573640101 0.0000849753 0.0000764260 6757470.438 5881847.539 6366070.286 265.56791 111.19953 233.54501 0.0003054013 57.51934 353.022 0.016076 883.938 273.023 0.00224655663 0.00577181524 0.0000845083 0.0000770343 6744067.513 5870969.413 6346062.941 268.11025 97.24667 232.82475 0.0003055426 57.94369 354.010 0.016121 883.464 273.007 0.00223113283 0.00580609602 0.0000840411 0.0000776213 6731386.459 5860825.014 6326998.879 270.60283 83.56989 232.13844 0.0003056624 58.24178 355.020 0.016167 882.995 272.995 0.00221522671 0.00584076425 0.0000835531 0.0000782130 6718860.810 5850961.345 6308030.723 273.15600 69.56328 231.45559 0.0003057661 58.42731 356.008 0.016212 882.551 272.988 0.00219953252 0.00587431003 0.0000830657 0.0000787834 6707032.400 5841805.265 6289983.084 275.65832 55.83774 230.80587 0.0003058491 58.49266 357.018 0.016258 882.113 272.985 0.00218335552 0.00590822160 0.0000825574 0.0000793576 6695372.705 5832947.859 6272053.752 278.22057 41.78518 230.16042 0.0003059150 58.44119 358.007 0.016303 881.700 272.986 0.00216740173 0.00594102196 0.0000820504 0.0000799107 6684385.959 5824772.384 6255022.172 280.73088 28.01849 229.54728 0.0003059611 58.27560 359.017 0.016349 881.293 272.992 0.00215096488 0.00597416621 0.0000815224 0.0000804669 6673581.095 5816913.657 6238131.295 283.30036 13.92777 228.93921 0.0003059892 57.98900 360.005 0.016394 880.911 273.003 0.00213476228 0.00600621069 0.0000809964 0.0000810019 6663425.227 5809711.659 6222115.428 285.81682 0.12757 228.36264 0.0003059983 57.59435 Engine speed (Hz) = 61.0000000000 Output power (W) = 3512.6422916255 Heat into heater (W) = 17434.8260828888 Heat to regenerator (W) = 7.7819672424 Heat removal from cooler (W) = 13930.1208398708 Approximate Pumping loss (W) = -13354.7914284541 Thermal efficiency (%) = 20.1472746268 The average engine pressure (Pa) = 8511073.4167386610 The exp space work per cycle (J) = 285.8425915159 The comp space work per cycle (J) = -228.2582916531 The net work per cycle (J) = 57.5842998627 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1000.2679880260 The expansion work for Vmin-to-Vmax (J) = 1057.8522878888 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 882.101 273.055 0.00213740000 0.00599785197 0.0000809883 0.0000810100 6681340.421 5802153.144 6227899.263 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.002 0.000045 881.742 273.072 0.00212119848 0.00602937027 0.0000804564 0.0000815325 6671816.989 5795619.384 6212414.268 2.48386 -13.72436 -0.55746 0.0003059889 -0.51889 2.007 0.000090 881.390 273.093 0.00210450846 0.00606121879 0.0000799032 0.0000820573 6662488.154 5789424.829 6197089.306 5.02602 -27.77389 -1.10916 0.0003059606 -1.16417 3.011 0.000135 881.054 273.119 0.00208769954 0.00609267409 0.0000793409 0.0000825724 6653572.237 5783721.929 6182282.067 7.56955 -41.83485 -1.64222 0.0003059134 -1.92479 4.015 0.000180 880.732 273.150 0.00207077451 0.00612373339 0.0000787697 0.0000830776 6645066.500 5778509.216 6167992.576 10.11394 -55.90526 -2.15664 0.0003058473 -2.80025 5.020 0.000225 880.426 273.185 0.00205373614 0.00615439386 0.0000781897 0.0000835726 6636968.234 5773785.286 6154220.881 12.65867 -69.98314 -2.65242 0.0003057623 -3.79000 6.002 0.000269 880.141 273.224 0.00203696950 0.00618398459 0.0000776143 0.0000840468 6629441.338 5769637.655 6141255.960 15.14668 -83.75349 -3.11916 0.0003056611 -4.86774 7.006 0.000314 879.864 273.269 0.00201971521 0.00621384776 0.0000770175 0.0000845214 6622141.072 5765876.541 6128508.603 17.69052 -97.84025 -3.57806 0.0003055389 -6.08190 8.011 0.000359 879.603 273.317 0.00200235593 0.00624330344 0.0000764124 0.0000849856 6615240.354 5762600.394 6116279.360 20.23310 -111.92849 -4.01832 0.0003053980 -7.40870 9.015 0.000404 879.356 273.371 0.00198489448 0.00627234863 0.0000757993 0.0000854390 6608736.580 5759808.050 6104568.407 22.77387 -126.01618 -4.43991 0.0003052383 -8.84756 10.020 0.000449 879.124 273.429 0.00196733370 0.00630098027 0.0000751784 0.0000858816 6602627.174 5757498.395 6093375.962 25.31226 -140.10126 -4.84284 0.0003050600 -10.39789 11.002 0.000493 878.911 273.490 0.00195006986 0.00632857281 0.0000745639 0.0000863038 6597032.409 5755705.763 6082933.838 27.79140 -153.86884 -5.21876 0.0003048677 -12.02099 12.006 0.000538 878.708 273.557 0.00193232105 0.00635637733 0.0000739280 0.0000867247 6591695.511 5754347.673 6072767.694 30.32341 -167.94266 -5.58474 0.0003046526 -13.79004 13.010 0.000583 878.520 273.628 0.00191448146 0.00638375885 0.0000732848 0.0000871343 6586745.499 5753469.241 6063120.975 32.85131 -182.00767 -5.93202 0.0003044191 -15.66879 14.015 0.000628 878.346 273.704 0.00189655399 0.00641071405 0.0000726345 0.0000875326 6582179.929 5753069.532 6053994.092 35.37452 -196.06173 -6.26059 0.0003041671 -17.65660 15.019 0.000673 878.187 273.784 0.00187854157 0.00643723956 0.0000719774 0.0000879194 6577996.397 5753147.651 6045387.513 37.89241 -210.10270 -6.57042 0.0003038968 -19.75286 16.001 0.000717 878.045 273.867 0.00186085011 0.00646275681 0.0000713283 0.0000882864 6574272.960 5753685.222 6037475.790 40.34863 -223.81690 -6.85525 0.0003036148 -21.90679 17.006 0.000762 877.914 273.957 0.00184267836 0.00648842217 0.0000706582 0.0000886503 6570838.093 5754705.858 6029899.885 42.85422 -237.82556 -7.12798 0.0003033084 -24.21566 18.010 0.000807 877.797 274.051 0.00182443049 0.00651364723 0.0000699817 0.0000890023 6567778.356 5756201.826 6022846.062 45.35264 -251.81458 -7.38192 0.0003029840 -26.63105 19.014 0.000852 877.694 274.149 0.00180610953 0.00653842826 0.0000692992 0.0000893424 6565091.524 5758172.332 6016315.060 47.84325 -265.78171 -7.61703 0.0003026416 -29.15233 20.019 0.000897 877.606 274.252 0.00178771850 0.00656276139 0.0000686109 0.0000896705 6562775.430 5760616.597 6010307.694 50.32541 -279.72468 -7.83330 0.0003022813 -31.77880 21.001 0.000941 877.533 274.357 0.00176967136 0.00658611693 0.0000679324 0.0000899795 6560867.247 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8093600.605 7159392.217 8052678.974 149.22066 728.62802 296.81939 0.0002761692 -132.13415 302.010 0.013531 930.343 280.253 0.00279390454 0.00358078948 0.0000926268 0.0000404619 8053784.682 7118123.185 8007791.775 151.14802 719.08955 295.20346 0.0002770886 -125.40124 303.014 0.013576 929.050 279.972 0.00278913279 0.00362955610 0.0000927917 0.0000412064 8014586.577 7077581.860 7963313.746 153.08701 709.40274 293.60225 0.0002779980 -118.78900 304.019 0.013621 927.772 279.697 0.00278407426 0.00367819787 0.0000929435 0.0000419537 7976002.078 7037761.777 7919251.881 155.03787 699.57060 292.01602 0.0002788971 -112.29804 305.001 0.013665 926.539 279.435 0.00277885358 0.00372562895 0.0000930792 0.0000426868 7938864.342 6999517.932 7876577.916 156.95706 689.81929 290.47976 0.0002797660 -106.06913 306.005 0.013710 925.293 279.173 0.00277323630 0.00377399638 0.0000932050 0.0000434389 7901481.290 6961105.944 7833358.276 158.93199 679.70845 288.92385 0.0002806440 -99.81966 307.009 0.013755 924.063 278.918 0.00276734084 0.00382221188 0.0000933177 0.0000441931 7864699.688 6923396.896 7790573.480 160.91936 669.46105 287.38360 0.0002815108 -93.69306 308.014 0.013800 922.849 278.670 0.00276117012 0.00387026696 0.0000934170 0.0000449491 7828515.551 6886384.875 7748229.146 162.91935 659.07997 285.85920 0.0002823662 -87.68978 309.018 0.013845 921.650 278.428 0.00275472708 0.00391815341 0.0000935031 0.0000457068 7792924.928 6850064.055 7706330.595 164.93211 648.56805 284.35085 0.0002832100 -81.81026 310.000 0.013889 920.494 278.197 0.00274816676 0.00396480506 0.0000935745 0.0000464490 7758695.323 6815213.181 7665798.988 166.91260 638.16592 282.89172 0.0002840235 -76.18143 311.005 0.013934 919.328 277.967 0.00274119385 0.00401233490 0.0000936343 0.0000472092 7724267.023 6780242.548 7624796.657 168.95099 627.40349 281.41563 0.0002848435 -70.54781 312.009 0.013979 918.178 277.743 0.00273395745 0.00405967324 0.0000936807 0.0000479703 7690420.641 6745946.208 7584254.312 171.00251 616.51852 279.95611 0.0002856511 -65.03904 313.014 0.014024 917.044 277.525 0.00272646054 0.00410681289 0.0000937139 0.0000487322 7657152.330 6712318.611 7544176.214 173.06725 605.51371 278.51330 0.0002864460 -59.65543 314.018 0.014069 915.926 277.312 0.00271870608 0.00415374690 0.0000937336 0.0000494945 7624458.262 6679354.271 7504566.390 175.14529 594.39177 277.08734 0.0002872281 -54.39725 315.000 0.014113 914.848 277.110 0.00271087778 0.00419943263 0.0000937400 0.0000502400 7593042.318 6647758.579 7466293.212 177.19008 583.40627 275.70951 0.0002879800 -49.37745 316.004 0.014158 913.762 276.909 0.00270262273 0.00424594028 0.0000937333 0.0000510025 7561472.780 6616090.100 7427620.511 179.29460 572.06045 274.31729 0.0002887359 -44.36806 317.009 0.014203 912.692 276.714 0.00269411902 0.00429222285 0.0000937133 0.0000517648 7530466.199 6585068.908 7389426.770 181.41256 560.60532 272.94232 0.0002894781 -39.48477 318.013 0.014248 911.638 276.524 0.00268536961 0.00433827421 0.0000936799 0.0000525266 7500018.820 6554689.765 7351715.171 183.54399 549.04345 271.58470 0.0002902065 -34.72775 319.018 0.014293 910.601 276.340 0.00267637748 0.00438408842 0.0000936331 0.0000532878 7470126.907 6524947.498 7314488.707 185.68889 537.37738 270.24455 0.0002909209 -30.09715 320.022 0.014338 909.580 276.161 0.00266714560 0.00442965973 0.0000935730 0.0000540479 7440786.740 6495837.004 7277750.187 187.84725 525.60962 268.92196 0.0002916209 -25.59307 321.004 0.014382 908.597 275.991 0.00265788990 0.00447397815 0.0000935014 0.0000547901 7412628.514 6467979.446 7242302.409 189.97064 514.00742 267.64584 0.0002922915 -21.31152 322.008 0.014427 907.608 275.823 0.00264819258 0.00451905283 0.0000934150 0.0000555477 7384368.696 6440103.699 7206536.535 192.15553 502.04582 266.35827 0.0002929627 -17.05795 323.013 0.014472 906.635 275.659 0.00263826432 0.00456386852 0.0000933153 0.0000563037 7356649.656 6412844.943 7171265.965 194.35377 489.98985 265.08853 0.0002936190 -12.93112 324.017 0.014517 905.679 275.502 0.00262810808 0.00460842014 0.0000932024 0.0000570579 7329467.748 6386198.362 7136492.860 196.56529 477.84192 263.83669 0.0002942603 -8.93107 325.022 0.014562 904.739 275.349 0.00261772679 0.00465270275 0.0000930763 0.0000578099 7302819.345 6360159.217 7102219.228 198.79000 465.60439 262.60284 0.0002948862 -5.05780 326.004 0.014606 903.836 275.204 0.00260736141 0.00469573661 0.0000929402 0.0000585430 7277275.521 6335281.584 7069191.978 200.97795 453.55443 261.41386 0.0002954833 -1.39316 327.008 0.014651 902.928 275.062 0.00259654366 0.00473947325 0.0000927881 0.0000592902 7251671.671 6310430.165 7035911.576 203.22847 441.14662 260.21577 0.0002960784 2.22944 328.013 0.014696 902.036 274.924 0.00258550957 0.00478292705 0.0000926229 0.0000600347 7226590.646 6286172.543 7003135.828 205.49187 428.65615 259.03584 0.0002966576 5.72538 329.017 0.014741 901.161 274.792 0.00257426207 0.00482609362 0.0000924447 0.0000607761 7202028.900 6262504.300 6970866.225 207.76802 416.08530 257.87414 0.0002972209 9.09472 330.021 0.014786 900.302 274.664 0.00256280404 0.00486896871 0.0000922536 0.0000615143 7177982.910 6239421.106 6939104.136 210.05676 403.43634 256.73070 0.0002977679 12.33757 331.003 0.014830 899.478 274.544 0.00255139985 0.00491060522 0.0000920542 0.0000622328 7154966.604 6217412.488 6908539.806 212.30666 390.99509 255.63038 0.0002982869 15.38614 332.008 0.014875 898.651 274.426 0.00253953396 0.00495289175 0.0000918375 0.0000629639 7131930.373 6195473.972 6877785.079 214.61982 378.19820 254.52321 0.0002988014 18.37915 333.012 0.014920 897.841 274.313 0.00252746614 0.00499487480 0.0000916081 0.0000636911 7109399.534 6174108.118 6847541.315 216.94506 365.32981 253.43444 0.0002992992 21.24605 334.017 0.014965 897.047 274.205 0.00251519925 0.00503655057 0.0000913659 0.0000644142 7087370.652 6153310.943 6817809.472 219.28217 352.39207 252.36409 0.0002997801 23.98700 335.021 0.015010 896.269 274.102 0.00250273615 0.00507791532 0.0000911112 0.0000651329 7065840.316 6133078.552 6788590.421 221.63096 339.38716 251.31221 0.0003002441 26.60219 336.003 0.015054 895.524 274.005 0.00249036301 0.00511805666 0.0000908499 0.0000658312 7045267.231 6113838.213 6760517.260 223.93862 326.60834 250.30157 0.0003006811 29.03786 337.008 0.015099 894.778 273.912 0.00247752023 0.00515879572 0.0000905703 0.0000665407 7024712.951 6094711.720 6732314.628 226.30981 313.47684 249.28628 0.0003011111 31.40492 338.012 0.015144 894.049 273.823 0.00246448969 0.00519921324 0.0000902784 0.0000672452 7004647.195 6076138.944 6704626.888 228.69197 300.28448 248.28952 0.0003015236 33.64686 339.016 0.015189 893.336 273.738 0.00245127421 0.00523930584 0.0000899742 0.0000679444 6985066.644 6058116.351 6677454.597 231.08484 287.03335 247.31132 0.0003019186 35.76392 340.021 0.015234 892.638 273.659 0.00243787663 0.00527907022 0.0000896577 0.0000686382 6965968.004 6040640.496 6650798.243 233.48814 273.72551 246.35169 0.0003022959 37.75635 341.003 0.015278 891.972 273.586 0.00242460336 0.00531763049 0.0000893366 0.0000693111 6947756.604 6024078.422 6625233.529 235.84786 260.66056 245.43136 0.0003026477 39.58427 342.007 0.015323 891.307 273.515 0.00241085385 0.00535673629 0.0000889963 0.0000699935 6929601.467 6007674.103 6599598.783 238.27097 247.24664 244.50851 0.0003029898 41.33104 343.012 0.015368 890.658 273.450 0.00239693055 0.00539550444 0.0000886441 0.0000706698 6911918.570 5991806.800 6574481.074 240.70364 233.78211 243.60427 0.0003033139 42.95405 344.016 0.015413 890.025 273.389 0.00238283627 0.00543393191 0.0000882800 0.0000713399 6894704.714 5976473.430 6549880.664 243.14556 220.26899 242.71866 0.0003036199 44.45360 345.020 0.015458 889.408 273.333 0.00236857376 0.00547201570 0.0000879043 0.0000720034 6877956.722 5961670.998 6525797.772 245.59641 206.70929 241.85167 0.0003039078 45.83002 346.002 0.015502 888.820 273.283 0.00235446822 0.00550891804 0.0000875258 0.0000726458 6862028.333 5947708.091 6502750.616 248.00109 193.40780 241.02197 0.0003041716 47.05713 347.007 0.015547 888.235 273.236 0.00233988118 0.00554631348 0.0000871273 0.0000732959 6846192.457 5933947.267 6479691.732 250.46858 179.76185 240.19185 0.0003044232 48.19104 348.011 0.015592 887.665 273.193 0.00232513418 0.00558335659 0.0000867175 0.0000739390 6830813.129 5920708.991 6457150.774 252.94396 166.07526 239.38038 0.0003046565 49.20287 349.016 0.015637 887.112 273.156 0.00231022996 0.00562004454 0.0000862965 0.0000745748 6815887.264 5907990.622 6435127.811 255.42686 152.34998 238.58755 0.0003048712 50.09299 350.020 0.015682 886.574 273.123 0.00229517128 0.00565637454 0.0000858643 0.0000752031 6801411.806 5895789.604 6413622.886 257.91690 138.58799 237.81338 0.0003050674 50.86180 351.002 0.015726 886.063 273.095 0.00228030052 0.00569154845 0.0000854313 0.0000758100 6787690.613 5884357.584 6393096.766 260.35814 125.09820 237.07444 0.0003052413 51.49660 352.007 0.015771 885.557 273.071 0.00226494445 0.00572716237 0.0000849776 0.0000764230 6774097.039 5873172.584 6372616.444 262.86115 111.26937 236.33714 0.0003054006 52.02664 353.011 0.015816 885.066 273.051 0.00224944210 0.00576241016 0.0000845133 0.0000770279 6760944.898 5862497.832 6352654.162 265.37012 97.40965 235.61850 0.0003055412 52.43659 354.015 0.015861 884.591 273.037 0.00223379621 0.00579728910 0.0000840385 0.0000776245 6748231.223 5852331.111 6333209.889 267.88462 83.52100 234.91851 0.0003056630 52.72687 355.020 0.015906 884.132 273.027 0.00221800953 0.00583179648 0.0000835533 0.0000782128 6735953.069 5842670.283 6314283.587 270.40424 69.60535 234.23716 0.0003057660 52.89792 356.002 0.015950 883.698 273.021 0.00220244017 0.00586517519 0.0000830689 0.0000787796 6724366.071 5833711.323 6296278.658 272.87238 55.97471 233.58898 0.0003058486 52.95032 357.006 0.015995 883.270 273.020 0.00218638312 0.00589893979 0.0000825636 0.0000793507 6712940.701 5825045.062 6278376.647 275.40080 42.01141 232.94451 0.0003059143 52.88690 358.011 0.016040 882.857 273.023 0.00217019345 0.00593232480 0.0000820484 0.0000799129 6701942.220 5816878.805 6260992.465 277.93300 28.02692 232.31868 0.0003059612 52.70564 359.015 0.016085 882.459 273.031 0.00215387392 0.00596532751 0.0000815233 0.0000804659 6691367.773 5809210.728 6244126.067 280.46852 14.02320 231.71149 0.0003059892 52.40701 360.019 0.016130 882.077 273.044 0.00213742726 0.00599794523 0.0000809887 0.0000810096 6681214.531 5802039.082 6227777.417 283.00688 0.00218 231.12294 0.0003059983 51.99150 Engine speed (Hz) = 62.0000000000 Output power (W) = 3222.8183947027 Heat into heater (W) = 17546.4264033753 Heat to regenerator (W) = 0.1351175155 Heat removal from cooler (W) = 14329.6221944092 Approximate Pumping loss (W) = -13964.5961540447 Thermal efficiency (%) = 18.3673776108 The average engine pressure (Pa) = 8513448.3223311696 The exp space work per cycle (J) = 282.9759520285 The comp space work per cycle (J) = -230.9950101785 The net work per cycle (J) = 51.9809418500 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1003.1531740026 The expansion work for Vmin-to-Vmax (J) = 1055.1341158527 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) 0.022 0.000001 883.282 273.095 0.00214029284 0.00598906969 0.0000809875 0.0000810108 6699404.674 5794450.793 6233853.384 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.020 0.000045 882.924 273.114 0.00212385064 0.00602114421 0.0000804470 0.0000815416 6689900.138 5787960.269 6218049.384 2.50440 -13.94083 -0.56894 0.0003059885 -0.54216 2.017 0.000089 882.582 273.137 0.00210728697 0.00605283571 0.0000798972 0.0000820629 6680803.958 5781956.621 6202755.415 5.01058 -27.89601 -1.11953 0.0003059602 -1.19880 3.015 0.000133 882.254 273.165 0.00209060453 0.00608414145 0.0000793385 0.0000825746 6672113.332 5776438.354 6187971.525 7.51805 -41.86362 -1.65175 0.0003059131 -1.96943 4.013 0.000177 881.941 273.198 0.00207380602 0.00611505865 0.0000787709 0.0000830765 6663825.483 5771404.040 6173697.779 10.02632 -55.84173 -2.16560 0.0003058474 -2.85352 5.011 0.000221 881.643 273.235 0.00205689415 0.00614558452 0.0000781947 0.0000835684 6655937.649 5766852.315 6159934.267 12.53488 -69.82840 -2.66109 0.0003057631 -3.85054 6.009 0.000265 881.360 273.276 0.00203987164 0.00617571623 0.0000776100 0.0000840502 6648447.095 5762781.877 6146681.104 15.04322 -83.82167 -3.13820 0.0003056603 -4.95995 7.007 0.000309 881.092 273.322 0.00202274123 0.00620545090 0.0000770170 0.0000845218 6641351.105 5759191.485 6133938.435 17.55082 -97.81957 -3.59694 0.0003055388 -6.18122 8.005 0.000353 880.838 273.373 0.00200550564 0.00623478560 0.0000764159 0.0000849829 6634646.987 5756079.955 6121706.436 20.05715 -111.82013 -4.03729 0.0003053988 -7.51378 9.003 0.000397 880.598 273.428 0.00198816765 0.00626371739 0.0000758069 0.0000854335 6628332.075 5753446.159 6109985.319 22.56168 -125.82136 -4.45925 0.0003052404 -8.95707 10.001 0.000441 880.374 273.487 0.00197073003 0.00629224322 0.0000751901 0.0000858735 6622403.725 5751289.020 6098775.336 25.06384 -139.82125 -4.86281 0.0003050635 -10.51053 11.021 0.000486 880.159 273.553 0.00195279593 0.00632099428 0.0000745514 0.0000863122 6616737.754 5749574.815 6087839.576 27.61986 -154.13582 -5.25650 0.0003048636 -12.21262 12.019 0.000530 879.963 273.621 0.00193516530 0.00634868954 0.0000739195 0.0000867302 6611583.344 5748378.732 6077664.421 30.11555 -168.12678 -5.62280 0.0003046496 -13.98711 13.017 0.000574 879.781 273.694 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0.0000929410 0.0000419411 7984443.197 7023206.989 7927100.941 152.99512 698.09836 294.87580 0.0002788821 -117.42042 305.022 0.013449 927.304 279.387 0.00277914614 0.00371917415 0.0000930821 0.0000427030 7946012.898 6983561.981 7882807.828 154.97978 688.00702 293.28124 0.0002797850 -110.95788 306.020 0.013493 926.072 279.128 0.00277360909 0.00376712913 0.0000932068 0.0000434502 7909043.658 6945509.469 7839924.070 156.93233 678.00080 291.73743 0.0002806571 -104.76118 307.018 0.013537 924.855 278.876 0.00276779815 0.00381493644 0.0000933186 0.0000441996 7872670.529 6908154.252 7797466.481 158.89692 667.85985 290.20895 0.0002815182 -98.68580 308.016 0.013581 923.655 278.630 0.00276171615 0.00386258782 0.0000934172 0.0000449508 7836889.469 6871490.291 7755440.592 160.87370 657.58696 288.69602 0.0002823680 -92.73221 309.014 0.013625 922.471 278.390 0.00275536592 0.00391007523 0.0000935028 0.0000457035 7801696.476 6835511.651 7713851.638 162.86284 647.18489 287.19882 0.0002832064 -86.90081 310.012 0.013669 921.302 278.157 0.00274875031 0.00395739093 0.0000935753 0.0000464577 7767087.583 6800212.488 7672704.579 164.86447 636.65637 285.71753 0.0002840330 -81.19202 311.010 0.013713 920.149 277.929 0.00274187216 0.00400452742 0.0000936346 0.0000472130 7733058.853 6765587.041 7632004.110 166.87871 626.00409 284.25231 0.0002848476 -75.60617 312.008 0.013757 919.013 277.708 0.00273473436 0.00405147744 0.0000936807 0.0000479692 7699606.377 6731629.630 7591754.675 168.90566 615.23073 282.80333 0.0002856499 -70.14360 313.006 0.013801 917.892 277.492 0.00272733975 0.00409823397 0.0000937136 0.0000487261 7666726.273 6698334.644 7551960.478 170.94543 604.33891 281.37074 0.0002864398 -64.80462 314.004 0.013845 916.788 277.282 0.00271969122 0.00414479020 0.0000937334 0.0000494835 7634414.680 6665696.545 7512625.492 172.99808 593.33125 279.95468 0.0002872169 -59.58949 315.001 0.013889 915.699 277.078 0.00271179164 0.00419113954 0.0000937400 0.0000502411 7602667.760 6633709.866 7473753.473 175.06368 582.21032 278.55529 0.0002879811 -54.49846 316.022 0.013934 914.602 276.875 0.00270345584 0.00423832164 0.0000937331 0.0000510159 7570779.413 6601664.386 7434480.561 177.18968 570.72214 277.14146 0.0002887490 -49.42031 317.020 0.013978 913.546 276.682 0.00269505723 0.00428423322 0.0000937130 0.0000517733 7540163.029 6570978.918 7396555.624 179.28161 559.37985 275.77616 0.0002894863 -44.58094 318.018 0.014022 912.506 276.495 0.00268641625 0.00432991923 0.0000936797 0.0000525302 7510099.846 6540928.764 7359103.763 181.38661 547.93190 274.42790 0.0002902099 -39.86624 319.016 0.014066 911.482 276.313 0.00267753578 0.00437537387 0.0000936332 0.0000532864 7480586.110 6511508.738 7322127.941 183.50467 536.38076 273.09677 0.0002909196 -35.27637 320.014 0.014110 910.475 276.136 0.00266841867 0.00442059152 0.0000935736 0.0000540417 7451618.085 6482713.726 7285630.943 185.63579 524.72887 271.78288 0.0002916152 -30.81144 321.012 0.014154 909.483 275.965 0.00265906779 0.00446556672 0.0000935008 0.0000547958 7423192.056 6454538.687 7249615.388 187.77994 512.97861 270.48632 0.0002922966 -26.47154 322.010 0.014198 908.508 275.799 0.00264948600 0.00451029420 0.0000934149 0.0000555485 7395304.330 6426978.660 7214083.731 189.93710 501.13239 269.20718 0.0002929634 -22.25675 323.007 0.014242 907.548 275.638 0.00263967614 0.00455476882 0.0000933159 0.0000562997 7367951.230 6400028.755 7179038.272 192.10721 489.19255 267.94554 0.0002936155 -18.16711 324.005 0.014286 906.605 275.483 0.00262964107 0.00459898561 0.0000932038 0.0000570490 7341129.104 6373684.166 7144481.163 194.29021 477.16143 266.70148 0.0002942528 -14.20266 325.003 0.014330 905.678 275.332 0.00261938363 0.00464293974 0.0000930787 0.0000577962 7314834.318 6347940.165 7110414.413 196.48602 465.04133 265.47508 0.0002948749 -10.36339 326.001 0.014374 904.767 275.187 0.00260890665 0.00468662653 0.0000929406 0.0000585411 7289063.262 6322792.104 7076839.897 198.69456 452.83453 264.26640 0.0002954817 -6.64930 327.022 0.014419 903.852 275.044 0.00259796742 0.00473102493 0.0000927860 0.0000593004 7263244.476 6297684.151 7043013.281 200.96635 440.26299 263.04864 0.0002960864 -2.98024 328.020 0.014463 902.974 274.908 0.00258705499 0.00477415717 0.0000926217 0.0000600400 7238521.825 6273727.651 7010439.620 203.20030 427.88771 261.87599 0.0002966617 0.48078 329.018 0.014507 902.112 274.778 0.00257593155 0.00481700870 0.0000924446 0.0000607767 7214312.117 6250353.557 6978363.090 205.44662 415.43249 260.72123 0.0002972213 3.81679 330.016 0.014551 901.266 274.653 0.00256459989 0.00485957535 0.0000922547 0.0000615101 7190611.828 6227557.561 6946785.076 207.70518 402.89953 259.58442 0.0002977648 7.02787 331.014 0.014595 900.436 274.532 0.00255306281 0.00490185306 0.0000920520 0.0000622401 7167417.454 6205335.445 6915706.855 209.97582 390.29100 258.46561 0.0002982922 10.11414 332.011 0.014639 899.622 274.417 0.00254132310 0.00494383787 0.0000918367 0.0000629665 7144725.519 6183683.080 6885129.603 212.25837 377.60904 257.36483 0.0002988032 13.07572 333.009 0.014683 898.824 274.306 0.00252938353 0.00498552595 0.0000916088 0.0000636890 7122532.565 6162596.424 6855054.397 214.55265 364.85578 256.28212 0.0002992978 15.91275 334.007 0.014727 898.043 274.200 0.00251724688 0.00502691354 0.0000913682 0.0000644075 7100835.159 6142071.525 6825482.223 216.85847 352.03335 255.21752 0.0002997757 18.62540 335.005 0.014771 897.277 274.099 0.00250491590 0.00506799699 0.0000911153 0.0000651216 7079629.892 6122104.521 6796413.978 219.17564 339.14383 254.17106 0.0003002369 21.21384 336.003 0.014815 896.528 274.003 0.00249239336 0.00510877276 0.0000908499 0.0000658312 7058913.376 6102691.642 6767850.477 221.50392 326.18931 253.14278 0.0003006811 23.67827 337.001 0.014859 895.794 273.911 0.00247968201 0.00514923734 0.0000905722 0.0000665361 7038682.249 6083829.207 6739792.454 223.84311 313.17183 252.13269 0.0003011083 26.01888 338.022 0.014904 895.061 273.822 0.00246648931 0.00519029619 0.0000902755 0.0000672520 7018489.903 6065103.690 6711620.280 226.24648 299.79552 251.11849 0.0003015275 28.28487 339.020 0.014948 894.360 273.740 0.00245340440 0.00523012107 0.0000899732 0.0000679466 6999230.397 6047343.773 6684586.654 228.60696 286.65694 250.14528 0.0003019198 30.37574 340.017 0.014992 893.675 273.663 0.00244013893 0.00526962475 0.0000896588 0.0000686359 6980446.253 6030123.728 6658060.297 230.97759 273.46156 249.19033 0.0003022947 32.34353 341.015 0.015036 893.006 273.590 0.00242669562 0.00530880405 0.0000893324 0.0000693197 6962134.202 6013440.239 6632041.675 233.35808 260.21135 248.25366 0.0003026521 34.18849 342.013 0.015080 892.352 273.522 0.00241307717 0.00534765585 0.0000889942 0.0000699976 6944290.997 5997290.083 6606531.193 235.74816 246.90832 247.33528 0.0003029918 35.91090 343.011 0.015124 891.715 273.459 0.00239928631 0.00538617712 0.0000886442 0.0000706696 6926913.415 5981670.127 6581529.206 238.14753 233.55443 246.43521 0.0003033138 37.51105 344.009 0.015168 891.094 273.400 0.00238532571 0.00542436484 0.0000882826 0.0000713353 6909998.253 5966577.328 6557036.018 240.55588 220.15166 245.55346 0.0003036179 38.98925 345.007 0.015212 890.488 273.346 0.00237119808 0.00546221606 0.0000879094 0.0000719947 6893542.334 5952008.731 6533051.889 242.97291 206.70195 244.69003 0.0003039041 40.34582 346.005 0.015256 889.898 273.297 0.00235690611 0.00549972789 0.0000875248 0.0000726474 6877542.502 5937961.473 6509577.035 245.39828 193.20725 243.84493 0.0003041722 41.58109 347.003 0.015300 889.324 273.252 0.00234245247 0.00553689746 0.0000871289 0.0000732934 6861995.622 5924432.779 6486611.639 247.83166 179.66949 243.01818 0.0003044223 42.69539 348.001 0.015344 888.766 273.212 0.00232783984 0.00557372195 0.0000867218 0.0000739324 6846898.585 5911419.959 6464155.845 250.27270 166.09061 242.20977 0.0003046542 43.68910 349.021 0.015389 888.211 273.175 0.00231273345 0.00561102351 0.0000862940 0.0000745784 6831920.505 5898642.279 6441716.920 252.77677 152.16258 241.40197 0.0003048724 44.58102 350.019 0.015433 887.684 273.144 0.00229780741 0.00564714150 0.0000858647 0.0000752026 6817723.951 5886665.076 6420292.239 255.23220 138.50637 240.63068 0.0003050673 45.33190 351.017 0.015477 887.173 273.118 0.00228273047 0.00568290606 0.0000854245 0.0000758193 6803967.964 5875196.150 6399377.433 257.69419 124.81482 239.87775 0.0003052438 45.96332 352.015 0.015521 886.677 273.096 0.00226750527 0.00571831448 0.0000849737 0.0000764282 6790649.519 5864233.162 6378972.547 260.16235 111.08984 239.14317 0.0003054019 46.47567 353.013 0.015565 886.197 273.078 0.00225213450 0.00575336408 0.0000845123 0.0000770291 6777765.613 5853773.851 6359077.609 262.63627 97.33332 238.42696 0.0003055415 46.86937 354.011 0.015609 885.732 273.066 0.00223662082 0.00578805216 0.0000840406 0.0000776220 6765313.261 5843816.043 6339692.636 265.11556 83.54717 237.72910 0.0003056625 47.14484 355.009 0.015653 885.283 273.057 0.00222096689 0.00582237606 0.0000835585 0.0000782065 6753289.500 5834357.642 6320817.635 267.59981 69.73329 237.04960 0.0003057650 47.30251 356.007 0.015697 884.849 273.054 0.00220517537 0.00585633311 0.0000830664 0.0000787825 6741691.389 5825396.634 6302452.604 270.08858 55.89356 236.38846 0.0003058489 47.34282 357.005 0.015741 884.431 273.054 0.00218924894 0.00588992065 0.0000825643 0.0000793499 6730516.003 5816931.083 6284597.542 272.58144 42.02990 235.74567 0.0003059142 47.26623 358.003 0.015785 884.027 273.060 0.00217319025 0.00592313602 0.0000820525 0.0000799085 6719760.442 5808959.131 6267252.446 275.07796 28.14419 235.12125 0.0003059609 47.07319 359.001 0.015829 883.639 273.069 0.00215700200 0.00595597653 0.0000815309 0.0000804580 6709421.823 5801478.994 6250417.316 277.57768 14.23835 234.51518 0.0003059889 46.76418 360.021 0.015874 883.258 273.084 0.00214031459 0.00598917289 0.0000809877 0.0000810106 6699276.515 5794335.782 6233727.061 280.13704 -0.00238 233.91434 0.0003059983 46.32870 Engine speed (Hz) = 63.0000000000 Output power (W) = 2918.0120736956 Heat into heater (W) = 17648.6334189718 Heat to regenerator (W) = -0.1499496156 Heat removal from cooler (W) = 14736.6031420568 Approximate Pumping loss (W) = -14591.0122774307 Thermal efficiency (%) = 16.5339264770 The average engine pressure (Pa) = 8515699.7425085604 The exp space work per cycle (J) = 280.1024895093 The comp space work per cycle (J) = -233.7848375458 The net work per cycle (J) = 46.3176519634 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1006.0921068468 The expansion work for Vmin-to-Vmax (J) = 1052.4097588102 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 884.480 273.134 0.00214357700 0.00597944317 0.0000809991 0.0000809992 6717827.924 5786782.118 6240265.393 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.014 0.000044 884.124 273.155 0.00212689866 0.00601208331 0.0000804501 0.0000815386 6708343.399 5780327.678 6224128.290 2.52405 -14.15604 -0.58094 0.0003059887 -0.56334 2.004 0.000087 883.791 273.180 0.00211047683 0.00604360222 0.0000799044 0.0000820562 6699479.818 5774505.492 6208865.418 4.99244 -28.00585 -1.13040 0.0003059606 -1.22816 3.018 0.000131 883.465 273.210 0.00209355044 0.00607546306 0.0000793369 0.0000825761 6690821.942 5769043.231 6193766.968 7.51950 -42.19163 -1.67394 0.0003059129 -2.02485 4.009 0.000174 883.161 273.244 0.00207689154 0.00610621481 0.0000787734 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0.00298065938 0.0000896658 0.0000318592 8583394.393 7629384.968 8580701.502 125.02061 817.76768 320.99181 0.0002655250 -223.39575 291.018 0.012631 946.985 283.753 0.00282625730 0.00303022871 0.0000899849 0.0000325596 8536247.605 7579107.350 8531690.776 126.84245 810.06041 319.22743 0.0002665445 -215.33563 292.009 0.012674 945.546 283.386 0.00282488449 0.00307869886 0.0000902846 0.0000332495 8490857.198 7530824.179 8484076.216 128.63087 802.34994 317.51330 0.0002675341 -207.56876 293.023 0.012718 944.091 283.020 0.00282316701 0.00312830802 0.0000905790 0.0000339606 8445100.682 7482269.425 8435658.573 130.46936 794.28053 315.77027 0.0002685396 -199.73491 294.013 0.012761 942.684 282.672 0.00282118440 0.00317678645 0.0000908544 0.0000346605 8401048.953 7435633.394 8388652.134 132.27462 786.22190 314.07804 0.0002695150 -192.19111 295.004 0.012804 941.293 282.333 0.00281890287 0.00322524784 0.0000911177 0.0000353651 8357646.891 7389788.913 8341965.126 134.08864 777.99563 312.39730 0.0002704828 -184.75892 296.018 0.012848 939.886 281.995 0.00281626090 0.00327480502 0.0000913745 0.0000360907 8313901.073 7343684.703 8294534.695 135.95419 769.40762 310.68981 0.0002714652 -177.27034 297.009 0.012891 938.526 281.673 0.00281338074 0.00332319276 0.0000916130 0.0000368040 8271793.822 7299405.138 8248527.354 137.78677 760.85127 309.03354 0.0002724170 -170.06658 298.022 0.012935 937.151 281.352 0.00281013080 0.00337264919 0.0000918442 0.0000375381 8229360.826 7254880.216 8201813.412 139.67189 751.93173 307.35184 0.0002733824 -162.81342 299.013 0.012978 935.823 281.046 0.00280666120 0.00342091477 0.0000920576 0.0000382594 8188525.548 7212124.493 8156525.481 141.52415 743.05746 305.72148 0.0002743170 -155.84130 300.004 0.013021 934.510 280.747 0.00280290390 0.00346910332 0.0000922585 0.0000389842 8148311.333 7170108.815 8111606.285 143.38652 734.03050 304.10438 0.0002752427 -148.98476 301.018 0.013065 933.183 280.449 0.00279876400 0.00351832192 0.0000924511 0.0000397294 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278.838 0.00276835402 0.00380673706 0.0000933175 0.0000441920 7881330.446 6893541.040 7805193.941 156.86154 666.10346 293.07354 0.0002815095 -103.86147 308.022 0.013369 924.463 278.589 0.00276222723 0.00385504966 0.0000934178 0.0000449551 7845149.340 6856399.216 7762544.837 158.85915 655.71056 291.53817 0.0002823729 -97.82361 309.012 0.013412 923.293 278.351 0.00275597282 0.00390210329 0.0000935027 0.0000457025 7810379.137 6820787.907 7721297.563 160.82344 645.42502 290.05327 0.0002832052 -92.04487 310.003 0.013455 922.138 278.120 0.00274945737 0.00394899017 0.0000935747 0.0000464512 7776186.745 6785849.121 7680482.763 162.79978 635.01480 288.58394 0.0002840259 -86.38699 311.017 0.013499 920.974 277.890 0.00274252305 0.00399678723 0.0000936349 0.0000472185 7741793.166 6750787.893 7639171.273 164.83470 624.23612 287.09672 0.0002848534 -80.72301 312.008 0.013542 919.852 277.671 0.00273548786 0.00404331464 0.0000936807 0.0000479692 7708757.735 6717192.063 7599245.344 166.83581 613.58156 285.65939 0.0002856499 -75.31072 313.021 0.013586 918.720 277.453 0.00272802748 0.00409072929 0.0000937141 0.0000487382 7675539.813 6683493.091 7558852.302 168.89627 602.55824 284.20524 0.0002864522 -69.89868 314.012 0.013629 917.630 277.246 0.00272048383 0.00413686919 0.0000937335 0.0000494901 7643645.354 6651217.066 7519832.183 170.92251 591.66977 282.80052 0.0002872236 -64.73318 315.003 0.013672 916.556 277.045 0.00271269305 0.00418280774 0.0000937400 0.0000502422 7612308.986 6619585.012 7481265.459 172.96128 580.66947 281.41212 0.0002879822 -59.69003 316.017 0.013716 915.473 276.844 0.00270446817 0.00422959973 0.0000937332 0.0000510118 7580817.581 6587878.287 7442274.811 175.06049 569.30017 280.00845 0.0002887450 -54.65647 317.007 0.013759 914.431 276.654 0.00269618585 0.00427511210 0.0000937133 0.0000517637 7550598.687 6557532.659 7404635.902 177.12475 558.08112 278.65345 0.0002894770 -49.86149 318.021 0.013803 913.381 276.465 0.00268746377 0.00432145557 0.0000936795 0.0000525327 7520242.799 6527131.169 7366601.352 179.25009 546.49304 277.28421 0.0002902122 -45.08224 319.012 0.013846 912.372 276.285 0.00267870122 0.00436651783 0.0000936334 0.0000532834 7491125.894 6498050.414 7329902.991 181.33993 535.06509 275.96307 0.0002909168 -40.53611 320.003 0.013889 911.378 276.111 0.00266970548 0.00441134926 0.0000935743 0.0000540332 7462547.989 6469587.063 7293673.752 183.44241 523.53747 274.65881 0.0002916075 -36.11316 321.016 0.013933 910.377 275.939 0.00266026203 0.00445697877 0.0000935004 0.0000547993 7433859.551 6441095.635 7257090.291 185.60685 511.64100 273.34181 0.0002922997 -31.71495 322.007 0.013976 909.416 275.775 0.00265080293 0.00450132703 0.0000934151 0.0000555466 7406360.836 6413866.147 7221817.974 187.73484 499.91880 272.07201 0.0002929617 -27.54148 323.021 0.014020 908.449 275.613 0.00264089110 0.00454645150 0.0000933145 0.0000563097 7378768.972 6386626.991 7186218.628 189.92531 487.82804 270.79043 0.0002936241 -23.39869 324.012 0.014063 907.520 275.460 0.00263097988 0.00459029611 0.0000932031 0.0000570536 7352334.414 6360611.432 7151912.586 192.07862 475.92059 269.55541 0.0002942566 -19.47492 325.002 0.014106 906.606 275.312 0.00262084933 0.00463388459 0.0000930788 0.0000577954 7326420.326 6335188.708 7118087.221 194.24435 463.92496 268.33770 0.0002948742 -15.67457 326.016 0.014150 905.689 275.166 0.00261025900 0.00467821684 0.0000929385 0.0000585521 7300438.588 6309783.616 7083974.744 196.47321 451.56140 267.10965 0.0002954906 -11.91360 327.007 0.014193 904.808 275.028 0.00259969305 0.00472127323 0.0000927884 0.0000592892 7275566.537 6285546.312 7051127.498 198.66378 439.39410 265.92715 0.0002960775 -8.36293 328.020 0.014237 903.923 274.892 0.00258866288 0.00476505184 0.0000926216 0.0000600405 7250643.591 6261344.803 7018019.406 200.91784 426.85942 264.73526 0.0002966621 -4.85736 329.011 0.014280 903.074 274.765 0.00257767264 0.00480755846 0.0000924458 0.0000607719 7226799.005 6238274.716 6986156.918 203.13281 414.52930 263.58821 0.0002972177 -1.55617 330.002 0.014323 902.242 274.642 0.00256647677 0.00484978712 0.0000922574 0.0000615001 7203456.925 6215775.029 6954783.313 205.35964 402.12193 262.45876 0.0002977574 1.62185 331.016 0.014367 901.406 274.521 0.00255481051 0.00489270597 0.0000920516 0.0000622417 7180088.534 6193338.186 6923187.506 207.65037 389.34823 261.32131 0.0002982933 4.74637 332.006 0.014410 900.606 274.408 0.00254320687 0.00493436022 0.0000918378 0.0000629628 7157752.496 6171979.870 6892806.883 209.90072 376.79095 260.22761 0.0002988007 7.67550 333.020 0.014454 899.803 274.297 0.00253112896 0.00497668331 0.0000916062 0.0000636968 7135406.306 6150702.468 6862229.544 212.21519 363.86821 259.12682 0.0002993030 10.54562 334.011 0.014497 899.035 274.193 0.00251912851 0.00501774772 0.0000913674 0.0000644101 7114062.212 6130469.148 6832846.393 214.48837 351.16947 258.06903 0.0002997774 13.22643 335.002 0.014540 898.282 274.094 0.00250693597 0.00505851517 0.0000911162 0.0000651190 7093203.241 6110786.041 6803957.678 216.77254 338.40390 257.02903 0.0003002352 15.78475 336.015 0.014584 897.529 273.998 0.00249426381 0.00509991964 0.0000908466 0.0000658399 7072357.836 6091210.856 6774909.827 219.12100 325.27436 255.98331 0.0003006865 18.27597 337.006 0.014627 896.808 273.909 0.00248169075 0.00514007564 0.0000905708 0.0000665397 7052470.097 6072629.668 6747023.973 221.42677 312.37968 254.97942 0.0003011104 20.58706 338.020 0.014671 896.088 273.822 0.00246863476 0.00518084740 0.0000902761 0.0000672507 7032611.515 6054174.511 6719003.824 223.79685 299.12220 253.97070 0.0003015268 22.82573 339.011 0.014714 895.399 273.743 0.00245569199 0.00522037834 0.0000899760 0.0000679404 7013681.383 6036680.737 6692123.660 226.12328 286.10652 253.00301 0.0003019163 24.89046 340.001 0.014757 894.726 273.667 0.00244257047 0.00525959550 0.0000896640 0.0000686248 6995219.579 6019719.296 6665741.436 228.45953 273.03400 252.05325 0.0003022888 26.83380 341.015 0.014801 894.054 273.595 0.00242896151 0.00529939661 0.0000893325 0.0000693194 6976809.820 6002911.039 6639261.639 230.86003 259.60065 251.09998 0.0003026520 28.69692 342.006 0.014844 893.413 273.529 0.00241548637 0.00533796943 0.0000889968 0.0000699925 6959285.615 5987016.740 6613888.346 233.21537 246.41904 250.18654 0.0003029893 30.39543 343.020 0.014888 892.774 273.467 0.00240152103 0.00537710487 0.0000886412 0.0000706751 6941828.504 5971293.885 6588441.817 235.63480 232.87808 249.27046 0.0003033164 32.00862 344.010 0.014931 892.164 273.410 0.00238770295 0.00541502106 0.0000882822 0.0000713360 6925228.736 5956454.096 6564079.060 238.00806 219.59521 248.39340 0.0003036182 33.46347 345.001 0.014974 891.571 273.358 0.00237371931 0.00545260831 0.0000879117 0.0000719907 6909081.070 5942131.063 6540216.238 240.38972 206.26517 247.53434 0.0003039024 34.79835 346.015 0.015018 890.979 273.310 0.00235924180 0.00549072620 0.0000875210 0.0000726538 6893022.584 5928006.921 6516316.245 242.83514 192.57825 246.67394 0.0003041748 36.04042 347.005 0.015061 890.417 273.267 0.00234493112 0.00552763923 0.0000871279 0.0000732950 6877780.021 5914720.898 6493465.669 245.23282 179.15852 245.85132 0.0003044229 37.13356 348.019 0.015105 889.858 273.228 0.00233012440 0.00556506136 0.0000867142 0.0000739440 6862641.155 5901652.262 6470601.893 247.69394 165.38376 245.02823 0.0003046583 38.12898 349.010 0.015148 889.327 273.194 0.00231549730 0.00560128880 0.0000862989 0.0000745712 6848290.970 5889392.443 6448764.338 250.10628 151.88200 244.24207 0.0003048701 38.98180 350.001 0.015191 888.811 273.165 0.00230071771 0.00563717327 0.0000858728 0.0000751910 6834377.197 5877636.059 6427427.684 252.52533 138.34250 243.47396 0.0003050638 39.71639 351.014 0.015235 888.299 273.140 0.00228543926 0.00567353442 0.0000854258 0.0000758175 6820588.422 5866124.920 6406113.451 255.00720 124.45101 242.70664 0.0003052433 40.34607 352.005 0.015278 887.815 273.120 0.00227035905 0.00570871676 0.0000849783 0.0000764221 6807548.320 5855379.920 6385790.560 257.43871 110.84084 241.97502 0.0003054004 40.84262 353.019 0.015322 887.334 273.104 0.00225477838 0.00574435389 0.0000845096 0.0000770326 6794647.211 5844898.966 6365513.836 259.93254 96.88090 241.24506 0.0003055422 41.22954 354.010 0.015365 886.880 273.093 0.00223940811 0.00577882324 0.0000840412 0.0000776211 6782468.457 5835156.294 6346205.009 262.37494 83.20762 240.54994 0.0003056624 41.48969 355.000 0.015408 886.442 273.087 0.00222389837 0.00581293622 0.0000835628 0.0000782015 6770710.924 5825905.889 6327397.469 264.82212 69.50593 239.87287 0.0003057642 41.63362 356.014 0.015452 886.008 273.085 0.00220788627 0.00584747087 0.0000830628 0.0000787867 6759112.906 5816947.877 6308671.497 267.33073 55.45812 239.19873 0.0003058495 41.66105 357.005 0.015495 885.600 273.088 0.00219210227 0.00588085477 0.0000825643 0.0000793499 6748198.590 5808687.513 6290878.316 269.78631 41.70461 238.55818 0.0003059142 41.57118 358.019 0.015539 885.198 273.095 0.00217581494 0.00591463790 0.0000820443 0.0000799173 6737457.265 5800738.688 6273190.379 272.30264 27.60764 237.92141 0.0003059615 41.36030 359.009 0.015582 884.820 273.107 0.00215976726 0.00594728196 0.0000815264 0.0000804627 6727374.214 5793460.941 6256411.726 274.76488 13.80987 237.31738 0.0003059891 41.03848 360.000 0.015625 884.457 273.123 0.00214359319 0.00597955637 0.0000809991 0.0000809992 6717697.648 5786666.303 6240134.580 277.22975 -0.00697 236.73140 0.0003059983 40.60272 Engine speed (Hz) = 64.0000000000 Output power (W) = 2597.8392600009 Heat into heater (W) = 17742.7038992970 Heat to regenerator (W) = -0.4460433153 Heat removal from cooler (W) = 15150.8098178735 Approximate Pumping loss (W) = -15234.4219878112 Thermal efficiency (%) = 14.6417325947 The average engine pressure (Pa) = 8517976.0500461571 The exp space work per cycle (J) = 277.1915431377 The comp space work per cycle (J) = -236.6003047002 The net work per cycle (J) = 40.5912384375 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1009.0781789287 The expansion work for Vmin-to-Vmax (J) = 1049.6694173662 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 885.679 273.172 0.00214646012 0.00597053513 0.0000809972 0.0000810011 6736139.647 5778827.389 6246356.472 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.010 0.000043 885.332 273.194 0.00212993015 0.00600298165 0.0000804523 0.0000815365 6726906.210 5772565.308 6230265.137 2.48508 -14.04395 -0.57929 0.0003059887 -0.57333 2.016 0.000086 885.001 273.222 0.00211327380 0.00603504382 0.0000798980 0.0000820622 6718084.369 5766798.431 6214690.124 4.97183 -28.10486 -1.13999 0.0003059602 -1.26330 3.022 0.000129 884.685 273.254 0.00209649379 0.00606671881 0.0000793346 0.0000825781 6709671.060 5761525.250 6199631.568 7.45977 -42.18078 -1.68210 0.0003059127 -2.06939 4.005 0.000171 884.390 273.290 0.00207998724 0.00609728063 0.0000787757 0.0000830724 6701844.876 5756849.929 6185421.938 9.89050 -55.94196 -2.19364 0.0003058481 -2.96832 5.011 0.000214 884.104 273.331 0.00206297083 0.00612818174 0.0000781947 0.0000835684 6694230.164 5752548.491 6171384.758 12.37930 -70.04175 -2.69898 0.0003057631 -4.00237 6.017 0.000257 883.832 273.377 0.00204583890 0.00615868699 0.0000776051 0.0000840542 6687014.947 5748736.667 6157864.562 14.86777 -84.15068 -3.18571 0.0003056593 -5.15093 7.000 0.000299 883.580 273.426 0.00202899654 0.00618809780 0.0000770211 0.0000845186 6680350.312 5745484.968 6145158.099 17.29755 -97.93838 -3.64314 0.0003055397 -6.38278 8.006 0.000342 883.337 273.481 0.00201164443 0.00621781168 0.0000764151 0.0000849836 6673915.967 5742637.393 6132660.556 19.78383 -112.05946 -4.09305 0.0003053986 -7.75603 9.013 0.000385 883.109 273.540 0.00199418509 0.00624712067 0.0000758009 0.0000854379 6667872.219 5740275.917 6120680.784 22.26820 -126.18366 -4.52432 0.0003052388 -9.24210 10.019 0.000428 882.895 273.604 0.00197662132 0.00627602160 0.0000751789 0.0000858813 6662216.115 5738399.471 6109219.118 24.75011 -140.30894 -4.93694 0.0003050602 -10.84039 11.002 0.000470 882.700 273.671 0.00195936790 0.00630385342 0.0000745639 0.0000863038 6657062.964 5737033.934 6098524.540 27.17139 -154.10480 -5.32195 0.0003048677 -12.50928 12.008 0.000513 882.515 273.745 0.00194160603 0.00633193826 0.0000739268 0.0000867254 6652164.518 5736113.333 6088088.202 29.64679 -168.22613 -5.69766 0.0003046522 -14.32764 13.014 0.000556 882.343 273.822 0.00192374821 0.00635960532 0.0000732825 0.0000871357 6647645.041 5735674.881 6078171.243 32.11805 -182.34233 -6.05467 0.0003044182 -16.25643 14.020 0.000599 882.186 273.905 0.00190579731 0.00638685119 0.0000726310 0.0000875347 6643501.662 5735717.701 6068774.193 34.58458 -196.45128 -6.39296 0.0003041657 -18.29500 15.003 0.000641 882.047 273.989 0.00188817682 0.00641305348 0.0000719880 0.0000879133 6639814.997 5736223.330 6060098.152 36.98861 -210.22304 -6.70530 0.0003039013 -20.39156 16.009 0.000684 881.917 274.081 0.00187005053 0.00643945641 0.0000713231 0.0000882894 6636406.725 5737215.052 6051730.610 39.44404 -224.31127 -7.00653 0.0003036124 -22.64529 17.015 0.000727 881.802 274.177 0.00185183991 0.00646542751 0.0000706517 0.0000886537 6633366.168 5738685.630 6043884.906 41.89295 -238.38575 -7.28898 0.0003033054 -25.00691 18.022 0.000770 881.700 274.277 0.00183354795 0.00649096301 0.0000699740 0.0000890062 6630690.571 5740634.308 6036561.819 44.33473 -252.44424 -7.55261 0.0003029802 -27.47574 19.004 0.000812 881.614 274.379 0.00181560574 0.00651548045 0.0000693061 0.0000893390 6628426.922 5742998.510 6029914.382 46.71223 -266.15819 -7.79192 0.0003026451 -29.99003 20.011 0.000855 881.540 274.489 0.00179716187 0.00654014343 0.0000686166 0.0000896678 6626464.802 5745890.108 6023626.963 49.13805 -280.17837 -8.01826 0.0003022844 -32.66882 21.017 0.000898 881.479 274.603 0.00177864573 0.00656435901 0.0000679214 0.0000899844 6624859.676 5749257.641 6017864.936 51.55484 -294.17572 -8.22570 0.0003019058 -35.45280 22.023 0.000941 881.431 274.721 0.00176006043 0.00658812298 0.0000672207 0.0000902888 6623608.960 5753100.391 6012629.401 53.96195 -308.14786 -8.41417 0.0003015095 -38.34128 23.006 0.000983 881.397 274.841 0.00174184358 0.00661089418 0.0000665313 0.0000905742 6622727.050 5757311.852 6008025.031 56.30311 -321.76842 -8.57993 0.0003011054 -41.26279 24.012 0.001026 881.376 274.969 0.00172313083 0.00663375260 0.0000658205 0.0000908540 6622169.527 5762091.850 6003833.832 58.68913 -335.68361 -8.73082 0.0003006745 -44.35574 25.018 0.001069 881.368 275.100 0.00170435839 0.00665614614 0.0000651049 0.0000911214 6621959.069 5767344.870 6000172.963 61.06347 -349.56631 -8.86261 0.0003002262 -47.55105 26.001 0.001111 881.372 275.234 0.00168596801 0.00667756558 0.0000644015 0.0000913703 6622086.324 5772931.626 5997110.635 63.37065 -363.09236 -8.97285 0.0002997718 -50.77017 27.007 0.001154 881.390 275.374 0.00166708720 0.00669902610 0.0000636770 0.0000916127 6622555.146 5779117.348 5994502.605 65.71987 -376.90333 -9.06674 0.0002992897 -54.16565 28.013 0.001197 881.420 275.519 0.00164815650 0.00672000717 0.0000629484 0.0000918422 6623364.344 5785773.637 5992429.705 68.05532 -390.67415 -9.14136 0.0002987906 -57.66128 29.020 0.001240 881.464 275.669 0.00162917932 0.00674050359 0.0000622159 0.0000920590 6624511.858 5792899.566 5990893.793 70.37628 -404.40213 -9.19666 0.0002982749 -61.25630 30.002 0.001282 881.518 275.819 0.00161060186 0.00676005028 0.0000614968 0.0000922582 6625957.422 5800312.207 5989913.910 72.62860 -417.76689 -9.23193 0.0002977551 -64.86292 31.009 0.001325 881.587 275.978 0.00159154291 0.00677957256 0.0000607572 0.0000924494 6627768.076 5808363.485 5989445.492 74.91878 -431.40213 -9.24880 0.0002972067 -68.65211 32.015 0.001368 881.668 276.140 0.00157244781 0.00679859354 0.0000600144 0.0000926276 6629911.604 5816881.183 5989520.429 77.19228 -444.98627 -9.24610 0.0002966420 -72.53836 33.021 0.001411 881.762 276.307 0.00155332014 0.00681710721 0.0000592685 0.0000927927 6632386.455 5825864.019 5990141.170 79.44833 -458.51642 -9.22375 0.0002960613 -76.52087 34.004 0.001453 881.865 276.475 0.00153460934 0.00683469462 0.0000585373 0.0000929413 6635122.271 5835085.641 5991276.897 81.63434 -471.67696 -9.18286 0.0002954787 -80.50292 35.010 0.001496 881.983 276.650 0.00151542801 0.00685218696 0.0000577862 0.0000930805 6638248.135 5844983.651 5992984.439 83.85361 -485.09162 -9.12139 0.0002948667 -84.67332 36.016 0.001539 882.114 276.830 0.00149622507 0.00686915277 0.0000570327 0.0000932064 6641701.716 5855342.162 5995246.136 86.05311 -498.44331 -9.03997 0.0002942391 -88.93755 37.022 0.001582 882.257 277.014 0.00147700430 0.00688558511 0.0000562772 0.0000933190 6645482.202 5866159.273 5998065.193 88.23202 -511.72888 -8.93849 0.0002935962 -93.29476 38.005 0.001624 882.408 277.197 0.00145821700 0.00690111335 0.0000555374 0.0000934162 6649489.806 5877165.533 6001360.041 90.33958 -524.63857 -8.81987 0.0002929536 -97.63959 39.011 0.001667 882.576 277.390 0.00143897236 0.00691646956 0.0000547784 0.0000935026 6653915.050 5888882.749 6005291.173 92.47535 -537.78387 -8.67835 0.0002922810 -102.17810 40.018 0.001710 882.755 277.586 0.00141972152 0.00693126985 0.0000540179 0.0000935756 6658666.264 5901051.563 6009790.598 94.58803 -550.85323 -8.51637 0.0002915936 -106.80705 41.000 0.001752 882.942 277.782 0.00140091625 0.00694518142 0.0000532741 0.0000936341 6663621.921 5913370.561 6014738.035 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0.0000487111 0.0000937131 6700785.276 5997866.996 6057180.629 108.56666 -639.33345 -6.81033 0.0002864242 -141.42161 48.020 0.002052 884.620 279.286 0.00126687866 0.00702813873 0.0000479479 0.0000936796 6708170.968 6013489.403 6066379.284 110.46341 -651.66744 -6.47918 0.0002856275 -146.73783 49.003 0.002094 884.903 279.511 0.00124820384 0.00703733442 0.0000472031 0.0000936339 6715716.597 6029143.023 6075962.519 112.28562 -663.60780 -6.13418 0.0002848370 -152.00981 50.009 0.002137 885.206 279.744 0.00122912081 0.00704609820 0.0000464416 0.0000935738 6723786.230 6045565.010 6086395.092 114.11899 -675.71869 -5.75861 0.0002840154 -157.48766 51.016 0.002180 885.522 279.980 0.00121007934 0.00705418947 0.0000456812 0.0000935005 6732209.885 6062377.733 6097465.553 115.91866 -687.70979 -5.36007 0.0002831817 -163.04583 52.022 0.002223 885.851 280.220 0.00119108426 0.00706159291 0.0000449222 0.0000934137 6740994.169 6079570.038 6109184.487 117.68346 -699.57616 -4.93819 0.0002823360 -168.68333 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0.00222662792 0.00580386146 0.0000835605 0.0000782042 6788085.014 5817218.577 6333812.359 261.97809 69.44238 242.72689 0.0003057647 35.91647 356.011 0.015214 887.180 273.116 0.00221076578 0.00583817509 0.0000830643 0.0000787850 6776761.592 5808471.699 6315158.239 264.44830 55.51150 242.05534 0.0003058493 35.92996 357.017 0.015257 886.773 273.120 0.00219476387 0.00587211826 0.0000825579 0.0000793570 6765865.221 5800228.642 6297019.938 266.92248 41.55404 241.40236 0.0003059150 35.82437 358.000 0.015299 886.390 273.129 0.00217900173 0.00590491179 0.0000820538 0.0000799071 6755631.514 5792661.852 6279801.508 269.34253 27.89738 240.78250 0.0003059608 35.60673 359.006 0.015342 886.013 273.143 0.00216273143 0.00593811454 0.0000815279 0.0000804612 6745570.082 5785409.228 6262683.110 271.82323 13.89307 240.16623 0.0003059890 35.26715 360.013 0.015385 885.652 273.161 0.00214632937 0.00597093856 0.0000809924 0.0000810059 6735926.394 5778655.027 6246080.803 274.30656 -0.13208 239.56855 0.0003059983 34.80993 Engine speed (Hz) = 65.0000000000 Output power (W) = 2261.8632696257 Heat into heater (W) = 17829.9262128713 Heat to regenerator (W) = -8.5848771299 Heat removal from cooler (W) = 15571.9558486650 Approximate Pumping loss (W) = -15895.2514846934 Thermal efficiency (%) = 12.6857690975 The average engine pressure (Pa) = 8520427.3973663840 The exp space work per cycle (J) = 274.2120385040 The comp space work per cycle (J) = -239.4141420482 The net work per cycle (J) = 34.7978964558 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1012.0962605348 The expansion work for Vmin-to-Vmax (J) = 1046.8941569906 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 886.885 273.209 0.00214929549 0.00596164999 0.0000809933 0.0000810050 6754545.778 5770735.739 6252472.687 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.009 0.000042 886.549 273.233 0.00213292589 0.00599387654 0.0000804529 0.0000815359 6745573.578 5764669.241 6236441.602 2.44446 -13.92125 -0.57712 0.0003059888 -0.58319 2.007 0.000084 886.227 273.262 0.00211643058 0.00602572757 0.0000799032 0.0000820573 6737004.636 5759089.972 6220917.236 4.89047 -27.86034 -1.13600 0.0003059606 -1.28123 3.005 0.000126 885.921 273.296 0.00209981221 0.00605720029 0.0000793446 0.0000825691 6728835.865 5753996.472 6205899.761 7.33758 -41.81538 -1.67663 0.0003059137 -2.09361 4.002 0.000168 885.629 273.334 0.00208307341 0.00608829186 0.0000787771 0.0000830711 6721064.188 5749387.351 6191389.366 9.78530 -55.78444 -2.19900 0.0003058482 -3.01981 5.000 0.000210 885.351 273.377 0.00206621682 0.00611899943 0.0000782010 0.0000835631 6713686.541 5745261.286 6177386.266 12.23313 -69.76563 -2.70311 0.0003057641 -4.05931 6.022 0.000253 885.082 273.426 0.00204883965 0.00615003729 0.0000776024 0.0000840564 6706538.263 5741536.114 6163575.560 14.73886 -84.09024 -3.20030 0.0003056588 -5.24037 7.020 0.000295 884.834 273.478 0.00203175285 0.00617995881 0.0000770093 0.0000845278 6699948.728 5738383.880 6150599.878 17.18541 -98.09004 -3.66742 0.0003055371 -6.50751 8.018 0.000337 884.600 273.534 0.00201455637 0.00620948745 0.0000764081 0.0000849888 6693744.027 5735711.090 6138132.294 19.63056 -112.09608 -4.11625 0.0003053969 -7.88629 9.016 0.000379 884.380 273.595 0.00199725291 0.00623862016 0.0000757989 0.0000854393 6687921.143 5733516.667 6126173.138 22.07377 -126.10638 -4.54678 0.0003052382 -9.37615 10.014 0.000421 884.175 273.661 0.00197984518 0.00626735386 0.0000751820 0.0000858791 6682477.072 5731799.591 6114722.779 24.51453 -140.11897 -4.95900 0.0003050611 -10.97652 11.012 0.000463 883.983 273.731 0.00196233594 0.00629568540 0.0000745575 0.0000863081 6677408.825 5730558.890 6103781.626 26.95229 -154.13183 -5.35288 0.0003048656 -12.68680 12.010 0.000505 883.806 273.805 0.00194472794 0.00632361159 0.0000739257 0.0000867261 6672713.426 5729793.643 6093350.132 29.38650 -168.14293 -5.72841 0.0003046518 -14.50642 13.008 0.000547 883.642 273.884 0.00192702396 0.00635112912 0.0000732866 0.0000871331 6668387.919 5729502.972 6083428.799 31.81661 -182.15022 -6.08558 0.0003044198 -16.43477 14.005 0.000589 883.493 273.968 0.00190922681 0.00637823467 0.0000726406 0.0000875289 6664429.362 5729686.039 6074018.180 34.24205 -196.15163 -6.42436 0.0003041695 -18.47123 15.003 0.000631 883.357 274.056 0.00189133931 0.00640492480 0.0000719878 0.0000879134 6660834.835 5730342.045 6065118.884 36.66226 -210.14505 -6.74474 0.0003039012 -20.61519 16.001 0.000673 883.234 274.149 0.00187336431 0.00643119599 0.0000713283 0.0000882864 6657601.439 5731470.221 6056731.575 39.07665 -224.12837 -7.04668 0.0003036148 -22.86601 17.023 0.000716 883.123 274.248 0.00185487369 0.00645765492 0.0000706466 0.0000886564 6654662.186 5733113.655 6048675.751 41.54188 -238.43191 -7.33669 0.0003033030 -25.28048 18.021 0.000758 883.027 274.350 0.00183673045 0.00648306717 0.0000699744 0.0000890060 6652150.883 5735195.177 6041326.913 43.94268 -252.38816 -7.60125 0.0003029804 -27.74562 19.019 0.000800 882.945 274.456 0.00181850850 0.00650804932 0.0000692963 0.0000893438 6649992.104 5737746.699 6034492.477 46.33587 -266.32770 -7.84729 0.0003026401 -30.31567 20.017 0.000842 882.877 274.567 0.00180021080 0.00653259746 0.0000686124 0.0000896698 6648183.067 5740767.537 6028173.387 48.72081 -280.24830 -8.07477 0.0003022821 -32.98996 21.015 0.000884 882.821 274.682 0.00178184036 0.00655670760 0.0000679229 0.0000899838 6646721.026 5744257.013 6022370.668 51.09690 -294.14768 -8.28367 0.0003019066 -35.76782 22.013 0.000926 882.779 274.802 0.00176340019 0.00658037559 0.0000672280 0.0000902857 6645603.278 5748214.451 6017085.425 53.46350 -308.02352 -8.47394 0.0003015137 -38.64856 23.010 0.000968 882.749 274.926 0.00174489337 0.00660359721 0.0000665280 0.0000905755 6644827.169 5752639.167 6012318.856 55.81996 -321.87346 -8.64554 0.0003011035 -41.63149 24.008 0.001010 882.732 275.054 0.00172632300 0.00662636805 0.0000658230 0.0000908530 6644390.094 5757530.467 6008072.252 58.16565 -335.69513 -8.79842 0.0003006761 -44.71591 25.006 0.001052 882.728 275.187 0.00170769221 0.00664868363 0.0000651133 0.0000911183 6644289.510 5762887.633 6004347.002 60.49990 -349.48608 -8.93252 0.0003002316 -47.90111 26.004 0.001094 882.737 275.324 0.00168900418 0.00667053926 0.0000643991 0.0000913711 6644522.940 5768709.920 6001144.601 62.82204 -363.24384 -9.04781 0.0002997703 -51.18636 27.002 0.001136 882.758 275.466 0.00167026215 0.00669193015 0.0000636807 0.0000916115 6645087.978 5774996.546 5998466.658 65.13141 -376.96590 -9.14422 0.0002992921 -54.57093 28.000 0.001178 882.792 275.612 0.00165146935 0.00671285133 0.0000629581 0.0000918393 6645982.302 5781746.679 5996314.896 67.42730 -390.64969 -9.22168 0.0002987974 -58.05409 29.022 0.001221 882.839 275.766 0.00163217999 0.00673377865 0.0000622143 0.0000920594 6647236.729 5789136.795 5994658.956 69.76319 -404.61690 -9.28129 0.0002982738 -61.72153 30.020 0.001263 882.898 275.921 0.00161329465 0.00675373332 0.0000614842 0.0000922616 6648790.740 5796822.191 5993577.880 72.02969 -418.21517 -9.32021 0.0002977458 -65.40191 31.018 0.001305 882.969 276.081 0.00159436870 0.00677320220 0.0000607506 0.0000924511 6650667.610 5804968.183 5993028.990 74.28060 -431.76710 -9.33997 0.0002972017 -69.17858 32.016 0.001347 883.052 276.244 0.00157540558 0.00679217960 0.0000600139 0.0000926278 6652865.444 5813573.638 5993014.557 76.51518 -445.26991 -9.34049 0.0002966416 -73.05076 33.013 0.001389 883.147 276.412 0.00155640880 0.00681065960 0.0000592742 0.0000927915 6655382.490 5822637.308 5993537.013 78.73270 -458.72077 -9.32168 0.0002960657 -77.01767 34.011 0.001431 883.254 276.584 0.00153738191 0.00682863608 0.0000585317 0.0000929424 6658217.144 5832157.823 5994598.958 80.93241 -472.11678 -9.28345 0.0002954741 -81.07852 35.009 0.001473 883.373 276.761 0.00151832851 0.00684610269 0.0000577867 0.0000930804 6661367.973 5842133.666 5996203.169 83.11355 -485.45498 -9.22570 0.0002948671 -85.23250 36.007 0.001515 883.503 276.941 0.00149925227 0.00686305283 0.0000570395 0.0000932053 6664833.727 5852563.160 5998352.618 85.27535 -498.73234 -9.14832 0.0002942448 -89.47879 37.005 0.001557 883.646 277.126 0.00148015690 0.00687947965 0.0000562902 0.0000933172 6668613.361 5863444.443 6001050.480 87.41702 -511.94577 -9.05120 0.0002936074 -93.81658 38.003 0.001599 883.800 277.315 0.00146104618 0.00689537600 0.0000555390 0.0000934160 6672706.054 5874775.442 6004300.149 89.53778 -525.09210 -8.93421 0.0002929550 -98.24502 39.001 0.001641 883.967 277.508 0.00144192394 0.00691073446 0.0000547862 0.0000935018 6677111.233 5886553.852 6008105.259 91.63680 -538.16808 -8.79723 0.0002922880 -102.76328 40.023 0.001684 884.149 277.709 0.00142233854 0.00692589327 0.0000540141 0.0000935760 6681944.719 5899073.528 6012580.464 93.76242 -551.47905 -8.63612 0.0002915901 -107.48127 41.021 0.001726 884.339 277.910 0.00140320498 0.00694013910 0.0000532588 0.0000936351 6686981.699 5911749.227 6017521.868 95.81493 -564.40242 -8.45823 0.0002908939 -112.17868 42.018 0.001768 884.540 278.115 0.00138407188 0.00695382257 0.0000525026 0.0000936811 6692331.201 5924863.603 6023031.346 97.84317 -577.24512 -8.25989 0.0002901837 -116.96329 43.016 0.001810 884.753 278.324 0.00136494332 0.00696693484 0.0000517457 0.0000937139 6697993.919 5938413.053 6029113.706 99.84626 -590.00358 -8.04092 0.0002894596 -121.83423 44.014 0.001852 884.978 278.537 0.00134582348 0.00697946663 0.0000509883 0.0000937336 6703970.950 5952393.541 6035774.119 101.82331 -602.67410 -7.80115 0.0002887218 -126.79061 45.012 0.001894 885.215 278.753 0.00132671656 0.00699140819 0.0000502307 0.0000937400 6710263.827 5966800.536 6043018.161 103.77342 -615.25288 -7.54036 0.0002879707 -131.83152 46.010 0.001936 885.463 278.973 0.00130762687 0.00700274928 0.0000494731 0.0000937332 6716874.570 5981628.941 6050851.857 105.69565 -627.73602 -7.25835 0.0002872063 -136.95606 47.008 0.001978 885.723 279.197 0.00128855879 0.00701347905 0.0000487157 0.0000937133 6723805.732 5996873.013 6059281.738 107.58905 -640.11946 -6.95487 0.0002864290 -142.16330 48.006 0.002020 885.996 279.424 0.00126951675 0.00702358605 0.0000479588 0.0000936801 6731060.456 6012526.255 6068314.911 109.45262 -652.39906 -6.62968 0.0002856390 -147.45231 49.004 0.002062 886.280 279.654 0.00125050528 0.00703305805 0.0000472026 0.0000936338 6738642.544 6028581.294 6077959.140 111.28535 -664.57048 -6.28249 0.0002848364 -152.82215 50.002 0.002104 886.576 279.888 0.00123152898 0.00704188202 0.0000464473 0.0000935743 6746556.534 6045029.728 6088222.958 113.08620 -676.62924 -5.91299 0.0002840217 -158.27188 51.024 0.002147 886.893 280.131 0.00121214221 0.00705023007 0.0000456752 0.0000934998 6755008.402 6062267.274 6099382.908 114.89576 -688.85353 -5.51123 0.0002831751 -163.93311 52.021 0.002189 887.215 280.371 0.00119325155 0.00705769840 0.0000449225 0.0000934138 6763611.468 6079480.810 6110930.682 116.62870 -700.66976 -5.09551 0.0002823363 -169.54154 53.019 0.002231 887.549 280.613 0.00117441052 0.00706447242 0.0000441714 0.0000933146 6772565.631 6097053.645 6123130.203 118.32631 -712.35849 -4.65633 0.0002814860 -175.22691 54.017 0.002273 887.897 280.858 0.00115562413 0.00707053366 0.0000434221 0.0000932024 6781879.511 6114970.365 6135995.116 119.98731 -723.91424 -4.19319 0.0002806245 -180.98822 55.015 0.002315 888.258 281.106 0.00113689746 0.00707586123 0.0000426749 0.0000930771 6791563.195 6133212.428 6149541.349 121.61036 -735.33112 -3.70553 0.0002797520 -186.82448 56.013 0.002357 888.633 281.355 0.00111823579 0.00708043101 0.0000419300 0.0000929389 6801628.541 6151756.963 6163787.998 123.19395 -746.60268 -3.19265 0.0002788689 -192.73465 57.011 0.002399 889.023 281.606 0.00109964455 0.00708421400 0.0000411876 0.0000927877 6812089.644 6170574.705 6178758.881 124.73641 -757.72169 -2.65370 0.0002779753 -198.71771 58.009 0.002441 889.427 281.858 0.00108112940 0.00708717327 0.0000404480 0.0000926236 6822963.580 6189625.966 6194485.602 126.23574 -768.67964 -2.08754 0.0002770715 -204.77262 59.007 0.002483 889.847 282.111 0.00106269639 0.00708925642 0.0000397113 0.0000924466 6834271.807 6208850.917 6211015.014 127.68936 -779.46561 -1.49248 0.0002761579 -210.89831 60.005 0.002525 890.284 282.362 0.00104435226 0.00709036721 0.0000389778 0.0000922568 6846043.600 6228133.048 6228437.612 129.09305 -790.06199 -0.86526 0.0002752346 -217.09369 61.003 0.002567 890.739 282.608 0.00102610611 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273.162 0.00218186083 0.00589578585 0.0000820525 0.0000799085 6773706.097 5784313.102 6286137.180 266.38884 27.94530 243.65742 0.0003059609 29.78816 359.001 0.015109 887.217 273.178 0.00216575209 0.00592875904 0.0000815309 0.0000804580 6763913.733 5777261.665 6269087.524 268.82913 14.06574 243.04363 0.0003059889 29.43758 360.022 0.015152 886.857 273.199 0.00214912414 0.00596213403 0.0000809871 0.0000810111 6754312.434 5770550.356 6252156.561 271.33009 -0.16669 242.43412 0.0003059983 28.95865 Engine speed (Hz) = 66.0000000000 Output power (W) = 1910.4406040482 Heat into heater (W) = 17907.7856653636 Heat to regenerator (W) = -11.0016814684 Heat removal from cooler (W) = 16000.6518875825 Approximate Pumping loss (W) = -16573.1436488802 Thermal efficiency (%) = 10.6682123616 The average engine pressure (Pa) = 8522791.2432779912 The exp space work per cycle (J) = 271.2188315155 The comp space work per cycle (J) = -242.2727617572 The net work per cycle (J) = 28.9460697583 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1015.1323285067 The expansion work for Vmin-to-Vmax (J) = 1044.0783982650 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 888.099 273.245 0.00215208804 0.00595277866 0.0000809877 0.0000810106 6773045.435 5762512.676 6258618.233 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.010 0.000042 887.773 273.271 0.00213589077 0.00598475897 0.0000804521 0.0000815367 6764343.850 5756644.409 6242661.849 2.40223 -13.78799 -0.57443 0.0003059887 -0.59283 2.023 0.000084 887.454 273.303 0.00211916908 0.00601713949 0.0000798940 0.0000820659 6755839.120 5751129.296 6226831.060 4.86454 -27.93159 -1.14434 0.0003059599 -1.31719 3.012 0.000125 887.158 273.338 0.00210272182 0.00604837547 0.0000793403 0.0000825730 6747933.069 5746228.525 6211879.926 7.26922 -41.75542 -1.68258 0.0003059133 -2.13808 4.001 0.000166 886.876 273.378 0.00208615491 0.00607923960 0.0000787780 0.0000830704 6740415.316 5741803.616 6197425.694 9.67442 -55.59417 -2.20293 0.0003058483 -3.07086 5.014 0.000208 886.602 273.423 0.00206906253 0.00611046802 0.0000781931 0.0000835698 6733113.600 5737762.864 6183134.405 12.13832 -69.78397 -2.71742 0.0003057629 -4.14189 6.003 0.000249 886.348 273.472 0.00205226125 0.00614057076 0.0000776136 0.0000840473 6726372.482 5734297.455 6169686.873 14.54312 -83.64722 -3.20153 0.0003056609 -5.29963 7.016 0.000291 886.103 273.527 0.00203493420 0.00617101322 0.0000770117 0.0000845260 6719859.895 5731237.138 6156427.432 17.00560 -97.85820 -3.67887 0.0003055376 -6.59998 8.005 0.000332 885.878 273.585 0.00201790913 0.00620034278 0.0000764159 0.0000849829 6713882.839 5728726.535 6143987.818 19.40800 -111.73825 -4.12669 0.0003053988 -7.98049 9.018 0.000374 885.662 273.649 0.00200035830 0.00622998701 0.0000757976 0.0000854403 6708146.535 5726642.093 6131761.597 21.86698 -125.96243 -4.56684 0.0003052379 -9.50791 10.007 0.000415 885.465 273.716 0.00198312016 0.00625853121 0.0000751862 0.0000858761 6702921.034 5725082.076 6120331.375 24.26493 -139.85143 -4.97833 0.0003050624 -11.10893 11.020 0.000457 885.278 273.789 0.00196535662 0.00628736452 0.0000745523 0.0000863116 6697948.236 5723969.413 6109140.038 26.71826 -154.08072 -5.38122 0.0003048639 -12.86106 12.009 0.000498 885.109 273.865 0.00194791628 0.00631511072 0.0000739261 0.0000867259 6693461.854 5723356.193 6098720.995 29.10961 -167.97069 -5.75630 0.0003046520 -14.68027 13.022 0.000540 884.949 273.947 0.00192995123 0.00634311991 0.0000732774 0.0000871389 6689239.867 5723211.625 6088566.553 31.55508 -182.19682 -6.12186 0.0003044163 -16.65468 14.011 0.000581 884.807 274.032 0.00191231971 0.00637005496 0.0000726371 0.0000875310 6685480.260 5723541.786 6079160.842 33.93766 -196.07960 -6.46047 0.0003041681 -18.68968 15.024 0.000623 884.675 274.124 0.00189416455 0.00639722625 0.0000719743 0.0000879212 6681996.489 5724361.983 6070045.709 36.37299 -210.29411 -6.78861 0.0003038955 -20.88388 16.013 0.000664 884.560 274.218 0.00187635308 0.00642333638 0.0000713207 0.0000882907 6678951.420 5725632.421 6061655.905 38.74453 -224.16136 -7.09064 0.0003036114 -23.13218 17.002 0.000705 884.458 274.316 0.00185845693 0.00644903373 0.0000706608 0.0000886488 6676254.842 5727366.268 6053769.033 41.10976 -238.01778 -7.37457 0.0003033097 -25.48490 18.015 0.000747 884.367 274.422 0.00184003942 0.00647492607 0.0000699786 0.0000890039 6673850.776 5729622.199 6046212.124 43.52555 -252.19872 -7.64662 0.0003029825 -28.00263 19.004 0.000788 884.291 274.529 0.00182198047 0.00649977662 0.0000693066 0.0000893388 6671850.735 5732292.122 6039345.928 45.87625 -266.02670 -7.89380 0.0003026454 -30.56482 20.017 0.000830 884.227 274.643 0.00180340221 0.00652479359 0.0000686124 0.0000896698 6670154.121 5735505.599 6032836.511 48.27591 -280.17396 -8.12814 0.0003022821 -33.29576 21.006 0.000871 884.177 274.760 0.00178519227 0.00654878169 0.0000679291 0.0000899810 6668838.818 5739108.959 6026994.896 50.60965 -293.96457 -8.33844 0.0003019101 -36.06474 22.019 0.000913 884.139 274.883 0.00176646546 0.00657290681 0.0000672237 0.0000902875 6667837.703 5743277.306 6021537.297 52.99067 -308.06885 -8.53491 0.0003015112 -39.00612 23.008 0.000954 884.115 275.008 0.00174811658 0.00659601589 0.0000665300 0.0000905747 6667195.617 5747811.494 6016724.821 55.30496 -321.81284 -8.70816 0.0003011047 -41.97915 24.021 0.000996 884.102 275.141 0.00172925374 0.00661923168 0.0000658144 0.0000908564 6666878.366 5752932.011 6012324.073 57.66476 -335.86452 -8.86659 0.0003006707 -45.12813 25.010 0.001037 884.103 275.275 0.00171077828 0.00664144414 0.0000651110 0.0000911191 6666898.327 5758394.337 6008546.028 59.95703 -349.55236 -9.00260 0.0003002301 -48.30240 26.023 0.001079 884.116 275.417 0.00169179222 0.00666373201 0.0000643860 0.0000913756 6667253.716 5764464.183 6005207.961 62.29293 -363.54149 -9.12277 0.0002997616 -51.65606 27.012 0.001120 884.141 275.559 0.00167320286 0.00668502913 0.0000636739 0.0000916137 6667925.007 5770851.752 6002470.460 64.56056 -377.16328 -9.22132 0.0002992876 -55.02867 28.000 0.001161 884.178 275.706 0.00165456201 0.00670586682 0.0000629578 0.0000918394 6668914.257 5777695.200 6000249.496 66.81502 -390.74867 -9.30127 0.0002987972 -58.49817 29.013 0.001203 884.229 275.861 0.00163541650 0.00672673108 0.0000622204 0.0000920577 6670254.816 5785177.369 5998511.870 69.11010 -404.62501 -9.36383 0.0002982781 -62.15198 30.002 0.001244 884.290 276.017 0.00161668135 0.00674662306 0.0000614968 0.0000922582 6671880.501 5792941.029 5997342.333 71.33583 -418.12887 -9.40593 0.0002977551 -65.81536 31.015 0.001286 884.365 276.181 0.00159744614 0.00676650743 0.0000607522 0.0000924507 6673868.297 5801363.845 5996686.047 73.60005 -431.91616 -9.42956 0.0002972029 -69.66622 32.004 0.001327 884.450 276.345 0.00157863027 0.00678543160 0.0000600221 0.0000926258 6676121.423 5810043.616 5996576.561 75.79423 -445.32758 -9.43350 0.0002966480 -73.52040 33.017 0.001369 884.549 276.518 0.00155931949 0.00680431259 0.0000592712 0.0000927922 6678747.729 5819402.479 5997011.067 78.02465 -459.01443 -9.41786 0.0002960634 -77.56511 34.006 0.001410 884.657 276.691 0.00154043691 0.00682224518 0.0000585355 0.0000929417 6681620.307 5828993.417 5997971.496 80.18437 -472.32205 -9.38328 0.0002954772 -81.60693 35.019 0.001452 884.780 276.872 0.00152106513 0.00684009755 0.0000577792 0.0000930817 6684877.545 5839282.730 5999507.593 82.37796 -485.89656 -9.32798 0.0002948609 -85.84221 36.008 0.001493 884.911 277.054 0.00150213027 0.00685701297 0.0000570387 0.0000932054 6688362.833 5849778.784 6001549.206 84.50020 -499.08851 -9.25448 0.0002942441 -90.06844 37.021 0.001535 885.057 277.244 0.00148271252 0.00687380948 0.0000562780 0.0000933189 6692244.839 5860991.664 6004199.234 86.65383 -512.53822 -9.15908 0.0002935969 -94.49093 38.010 0.001576 885.211 277.433 0.00146374029 0.00688968009 0.0000555336 0.0000934167 6696337.624 5872385.353 6007334.910 88.73551 -525.60207 -9.04620 0.0002929503 -98.89826 39.023 0.001618 885.381 277.631 0.00144429208 0.00690539127 0.0000547694 0.0000935035 6700839.972 5884513.254 6011112.979 90.84596 -538.91395 -8.91019 0.0002922729 -103.50453 40.012 0.001659 885.558 277.829 0.00142529789 0.00692018710 0.0000540220 0.0000935753 6705536.916 5896795.266 6015357.457 92.88386 -551.83664 -8.75739 0.0002915973 -108.08956 41.001 0.001700 885.746 278.030 0.00140629867 0.00693444014 0.0000532735 0.0000936341 6710531.750 5909511.961 6020155.750 94.89892 -564.68459 -8.58465 0.0002909076 -112.76110 42.014 0.001742 885.949 278.241 0.00138683499 0.00694846932 0.0000525059 0.0000936809 6715957.346 5922986.221 6025649.935 96.93858 -577.76482 -8.38686 0.0002901868 -117.63537 43.003 0.001783 886.160 278.450 0.00136783778 0.00696159769 0.0000517558 0.0000937136 6721555.757 5936572.793 6031583.231 98.90485 -590.45085 -8.17326 0.0002894693 -122.47939 44.016 0.001825 886.387 278.668 0.00134838464 0.00697445603 0.0000509869 0.0000937336 6727600.920 5950930.236 6038250.452 100.89273 -603.35769 -7.93324 0.0002887205 -127.52854 45.005 0.001866 886.620 278.885 0.00132940615 0.00698642225 0.0000502361 0.0000937400 6733806.227 5965370.290 6045339.737 102.80666 -615.86692 -7.67803 0.0002879761 -132.54146 46.018 0.001908 886.870 279.111 0.00130998098 0.00699806938 0.0000494671 0.0000937331 6740476.179 5980592.029 6053203.186 104.73906 -628.58469 -7.39494 0.0002872002 -137.76176 47.007 0.001949 887.125 279.335 0.00129103853 0.00700883190 0.0000487165 0.0000937133 6747295.444 5995864.794 6061472.948 106.59695 -640.90134 -7.09723 0.0002864298 -142.93992 48.020 0.001991 887.399 279.568 0.00127165939 0.00701922286 0.0000479482 0.0000936796 6754599.649 6011926.800 6070559.845 108.46996 -653.41334 -6.77010 0.0002856277 -148.32758 49.009 0.002032 887.678 279.799 0.00125277091 0.00702873512 0.0000471988 0.0000936336 6762044.527 6028005.709 6080039.025 110.26789 -665.52053 -6.42885 0.0002848323 -153.66723 50.022 0.002074 887.975 280.039 0.00123345649 0.00703781911 0.0000464321 0.0000935730 6769997.681 6044877.043 6090381.811 112.07738 -677.80886 -6.05651 0.0002840051 -159.21836 51.011 0.002115 888.277 280.276 0.00121464059 0.00704602806 0.0000456847 0.0000935008 6778085.529 6061727.604 6101105.256 113.81117 -689.68844 -5.67047 0.0002831856 -164.71566 52.024 0.002157 888.599 280.522 0.00119541031 0.00705374652 0.0000449206 0.0000934135 6786708.884 6079367.666 6112743.492 115.55267 -701.73367 -5.25149 0.0002823341 -170.42630 53.013 0.002198 888.926 280.764 0.00117668630 0.00706059010 0.0000441763 0.0000933153 6795464.285 6096943.991 6124754.385 117.21777 -713.36576 -4.81910 0.0002814916 -176.07735 54.002 0.002239 889.265 281.010 0.00115801508 0.00706673245 0.0000434337 0.0000932042 6804561.310 6114856.842 6137420.853 118.84709 -724.86758 -4.36311 0.0002806379 -181.80287 55.015 0.002281 889.625 281.263 0.00113894847 0.00707227589 0.0000426752 0.0000930772 6814244.591 6133536.261 6151092.530 120.47768 -736.50874 -3.87093 0.0002797524 -187.74422 56.004 0.002322 889.991 281.513 0.00112039970 0.00707693208 0.0000419370 0.0000929402 6824064.718 6152069.595 6165137.690 122.03040 -747.72841 -3.36530 0.0002788772 -193.61746 57.017 0.002364 890.379 281.770 0.00110146960 0.00708089791 0.0000411833 0.0000927868 6834515.132 6171330.359 6180266.293 123.57925 -759.06637 -2.82067 0.0002779701 -199.70802 58.006 0.002405 890.772 282.022 0.00108306533 0.00708394738 0.0000404504 0.0000926241 6845115.142 6190361.406 6195789.727 125.04849 -769.97413 -2.26183 0.0002770745 -205.72483 59.019 0.002447 891.191 282.280 0.00106429539 0.00708617518 0.0000397026 0.0000924444 6856403.816 6210029.363 6212513.528 126.50715 -780.97248 -1.65977 0.0002761470 -211.96030 60.008 0.002488 891.616 282.531 0.00104606035 0.00708738177 0.0000389757 0.0000922563 6867872.478 6229284.714 6229728.992 127.88164 -791.52049 -1.04001 0.0002752320 -218.11640 61.021 0.002530 892.069 282.782 0.00102748001 0.00708736545 0.0000382346 0.0000920505 6880134.477 6248746.759 6248529.878 129.22862 -802.09014 -0.36497 0.0002742852 -224.49228 62.010 0.002571 892.531 283.033 0.00100944585 0.00708670003 0.0000375148 0.0000918371 6892639.778 6268239.321 6267434.826 130.50405 -812.25622 0.30886 0.0002733519 -230.78321 63.023 0.002613 893.022 283.299 0.00099107686 0.00708552728 0.0000367814 0.0000916056 6905955.875 6288943.450 6287191.167 131.77633 -822.54029 1.00848 0.0002723870 -237.29505 64.012 0.002654 893.518 283.568 0.00097324683 0.00708389372 0.0000360694 0.0000913672 6919406.833 6309870.544 6306868.506 132.98440 -832.45182 1.70113 0.0002714366 -243.71668 65.001 0.002695 894.028 283.844 0.00095551702 0.00708176986 0.0000353617 0.0000911165 6933266.978 6331504.619 6326940.209 134.15852 -842.23623 2.40384 0.0002704782 -250.20133 66.014 0.002737 894.564 284.136 0.00093745926 0.00707907917 0.0000346414 0.0000908470 6947854.609 6354400.624 6347916.523 135.32566 -852.12621 3.13457 0.0002694884 -256.90837 67.002 0.002778 895.099 284.430 0.00091993460 0.00707594389 0.0000339428 0.0000905718 6962444.461 6377470.374 6368803.348 136.42981 -861.64930 3.85898 0.0002685146 -263.51729 68.016 0.002820 895.659 284.739 0.00090209000 0.00707220534 0.0000332323 0.0000902773 6977719.909 6401842.031 6390623.524 137.52442 -871.26819 4.61282 0.0002675097 -270.34929 69.004 0.002861 896.215 285.049 0.00088477745 0.00706803621 0.0000325439 0.0000899778 6992929.120 6426358.200 6412341.114 138.55693 -880.52279 5.36062 0.0002665217 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5860528.607 6469561.680 241.76257 151.67442 252.93059 0.0003048708 21.89424 350.002 0.014511 892.206 273.221 0.00230859212 0.00560885912 0.0000858720 0.0000751921 6884028.579 5849215.534 6448091.898 244.12085 138.21610 252.15767 0.0003050641 22.58860 351.015 0.014553 891.719 273.201 0.00229343775 0.00564526093 0.0000854253 0.0000758182 6870844.974 5838144.414 6426611.117 246.54280 124.38940 251.38437 0.0003052435 23.17783 352.004 0.014594 891.258 273.186 0.00227849231 0.00568045269 0.0000849786 0.0000764216 6858406.886 5827840.109 6406142.454 248.91272 110.85456 250.64749 0.0003054003 23.63425 353.017 0.014636 890.802 273.176 0.00226302936 0.00571614824 0.0000845103 0.0000770317 6846104.207 5817797.649 6385687.652 251.34583 96.95325 249.91112 0.0003055420 23.98055 354.006 0.014677 890.371 273.171 0.00224778777 0.00575064508 0.0000840428 0.0000776192 6834519.524 5808493.088 6366220.942 253.72588 83.34926 249.21032 0.0003056620 24.20064 355.019 0.014719 889.946 273.170 0.00223202666 0.00578562316 0.0000835534 0.0000782126 6823084.386 5799470.405 6346792.916 256.16857 69.38087 248.51091 0.0003057660 24.30569 356.008 0.014760 889.546 273.174 0.00221649911 0.00581941417 0.0000830657 0.0000787834 6812340.093 5791157.267 6328328.894 258.55718 55.71508 247.84621 0.0003058491 24.29115 357.021 0.014802 889.152 273.182 0.00220045030 0.00585366363 0.0000825559 0.0000793593 6801759.212 5783146.188 6309928.368 261.00779 41.68715 247.18379 0.0003059152 24.15674 358.010 0.014843 888.782 273.195 0.00218464700 0.00588673790 0.0000820485 0.0000799127 6791842.387 5775816.830 6292467.724 263.40329 27.96693 246.55520 0.0003059612 23.90934 359.023 0.014885 888.418 273.213 0.00216832096 0.00592024755 0.0000815190 0.0000804704 6782102.570 5768809.867 6275095.401 265.86010 13.88702 245.92980 0.0003059893 23.53734 360.012 0.014926 888.078 273.234 0.00215225217 0.00595259415 0.0000809925 0.0000810057 6773000.374 5762457.302 6258638.830 268.26078 0.11977 245.33736 0.0003059983 23.05894 Engine speed (Hz) = 67.0000000000 Output power (W) = 1544.0724863354 Heat into heater (W) = 17973.4722138444 Heat to regenerator (W) = 8.0245392874 Heat removal from cooler (W) = 16437.6033617382 Approximate Pumping loss (W) = -17267.5975414941 Thermal efficiency (%) = 8.5908413687 The average engine pressure (Pa) = 8524779.0846157037 The exp space work per cycle (J) = 268.2726174108 The comp space work per cycle (J) = -245.2267594058 The net work per cycle (J) = 23.0458580050 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1018.1886301212 The expansion work for Vmin-to-Vmax (J) = 1041.2344881262 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 889.328 273.279 0.00215526476 0.00594306805 0.0000809945 0.0000810038 6791865.652 5754319.888 6265223.870 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.012 0.000041 889.005 273.308 0.00213885323 0.00597557374 0.0000804509 0.0000815378 6783227.158 5748503.495 6248952.967 2.41739 -13.98502 -0.58575 0.0003059887 -0.61563 2.016 0.000082 888.697 273.341 0.00212231177 0.00600770472 0.0000798980 0.0000820622 6774993.713 5743180.327 6233192.229 4.83617 -27.99039 -1.15314 0.0003059602 -1.34769 3.020 0.000123 888.404 273.379 0.00210564303 0.00603945812 0.0000793361 0.0000825768 6767161.981 5738348.927 6217941.917 7.25587 -42.01421 -1.70215 0.0003059129 -2.19566 4.023 0.000164 888.126 273.421 0.00208884962 0.00607083102 0.0000787652 0.0000830815 6759728.629 5734007.911 6203202.307 9.67601 -56.05456 -2.23278 0.0003058467 -3.15903 5.003 0.000204 887.868 273.467 0.00207234821 0.00610106923 0.0000781998 0.0000835642 6752857.319 5730244.107 6189314.654 12.03708 -69.76655 -2.73273 0.0003057639 -4.20959 6.006 0.000245 887.618 273.519 0.00205531633 0.00613168173 0.0000776117 0.0000840488 6746201.229 5726868.107 6175584.892 14.45666 -83.83389 -3.22700 0.0003056606 -5.39933 7.010 0.000286 887.383 273.575 0.00203816773 0.00616190485 0.0000770153 0.0000845231 6739933.626 5723978.785 6162366.794 16.87520 -97.91197 -3.70285 0.0003055384 -6.70285 8.014 0.000327 887.162 273.636 0.00202090509 0.00619173552 0.0000764107 0.0000849869 6734051.191 5721575.026 6149660.740 19.29220 -111.99883 -4.16027 0.0003053976 -8.11957 9.017 0.000368 886.955 273.701 0.00200353112 0.00622117062 0.0000757980 0.0000854400 6728550.612 5719655.775 6137467.147 21.70713 -126.09248 -4.59924 0.0003052380 -9.64891 10.021 0.000409 886.762 273.771 0.00198604857 0.00625020697 0.0000751775 0.0000858822 6723428.579 5718220.035 6125786.465 24.11947 -140.19092 -5.01975 0.0003050598 -11.29030 11.000 0.000449 886.587 273.844 0.00196889041 0.00627814773 0.0000745648 0.0000863032 6718793.126 5717284.375 6114885.448 26.46995 -153.94815 -5.41218 0.0003048680 -12.99906 12.004 0.000490 886.422 273.923 0.00195120144 0.00630638672 0.0000739293 0.0000867238 6714409.247 5716801.137 6104219.573 28.87558 -168.05004 -5.79615 0.0003046531 -14.86005 13.008 0.000531 886.271 274.007 0.00193341213 0.00633421711 0.0000732866 0.0000871331 6710394.101 5716798.747 6094068.213 31.27699 -182.15060 -6.16160 0.0003044198 -16.83127 14.011 0.000572 886.133 274.095 0.00191552532 0.00636163546 0.0000726368 0.0000875312 6706744.403 5717276.401 6084432.004 33.67362 -196.24775 -6.50851 0.0003041680 -18.91212 15.015 0.000613 886.009 274.188 0.00189754383 0.00638863824 0.0000719802 0.0000879178 6703456.877 5718233.332 6075311.639 36.06490 -210.33935 -6.83684 0.0003038980 -21.10195 16.019 0.000654 885.898 274.285 0.00187947055 0.00641522183 0.0000713169 0.0000882928 6700528.262 5719668.809 6066707.871 38.45025 -224.42324 -7.14658 0.0003036097 -23.40012 17.022 0.000695 885.801 274.387 0.00186130838 0.00644138252 0.0000706471 0.0000886562 6697955.306 5721582.130 6058621.513 40.82909 -238.49726 -7.43768 0.0003033032 -25.80599 18.001 0.000735 885.719 274.491 0.00184350632 0.00646649395 0.0000699876 0.0000889993 6695784.767 5723908.642 6051231.862 43.14306 -252.21638 -7.70371 0.0003029869 -28.25632 19.005 0.000776 885.648 274.602 0.00182517719 0.00649180787 0.0000693056 0.0000893393 6693904.968 5726764.024 6044170.371 45.50726 -266.26434 -7.95793 0.0003026449 -30.87297 20.009 0.000817 885.590 274.718 0.00180676798 0.00651668726 0.0000686178 0.0000896672 6692371.265 5730095.286 6037629.134 47.86316 -280.29575 -8.19341 0.0003022850 -33.59531 21.012 0.000858 885.545 274.838 0.00178828173 0.00654112798 0.0000679244 0.0000899831 6691180.490 5733901.789 6031609.261 50.21013 -294.30827 -8.41013 0.0003019075 -36.42265 22.016 0.000899 885.512 274.963 0.00176972152 0.00656512579 0.0000672255 0.0000902868 6690329.507 5738182.896 6026111.949 52.54753 -308.29956 -8.60803 0.0003015122 -39.35428 23.020 0.000940 885.493 275.092 0.00175109044 0.00658867631 0.0000665214 0.0000905781 6689815.217 5742937.963 6021138.485 54.87473 -322.26723 -8.78707 0.0003010995 -42.38948 24.024 0.000981 885.486 275.225 0.00173239165 0.00661177502 0.0000658123 0.0000908572 6689634.559 5748166.333 6016690.252 57.19109 -336.20883 -8.94721 0.0003006695 -45.52755 25.003 0.001021 885.491 275.360 0.00171408671 0.00663387048 0.0000651159 0.0000911173 6689776.953 5753722.659 6012858.103 59.43987 -349.78291 -9.08517 0.0003002333 -48.68750 26.006 0.001062 885.508 275.503 0.00169526355 0.00665606275 0.0000643976 0.0000913716 6690246.623 5759884.060 6009451.992 61.73286 -363.66570 -9.20779 0.0002997692 -52.02661 27.010 0.001103 885.538 275.650 0.00167638229 0.00667778890 0.0000636749 0.0000916133 6691041.131 5766516.640 6006575.857 64.01302 -377.51490 -9.31133 0.0002992883 -55.46636 28.014 0.001144 885.580 275.801 0.00165744625 0.00669904381 0.0000629482 0.0000918423 6692157.652 5773619.595 6004231.525 66.27967 -391.32790 -9.39572 0.0002987905 -59.00601 29.017 0.001185 885.634 275.957 0.00163845880 0.00671982216 0.0000622175 0.0000920585 6693593.441 5781192.063 6002420.951 68.53212 -405.10203 -9.46091 0.0002982760 -62.64477 30.021 0.001226 885.700 276.118 0.00161942337 0.00674011846 0.0000614831 0.0000922619 6695345.843 5789233.105 6001146.228 70.76966 -418.83454 -9.50680 0.0002977450 -66.38187 31.000 0.001266 885.776 276.278 0.00160080930 0.00675944975 0.0000607633 0.0000924479 6697358.189 5797528.616 6000421.139 72.93757 -432.18935 -9.53290 0.0002972113 -70.12183 32.004 0.001307 885.865 276.447 0.00158168932 0.00677877682 0.0000600224 0.0000926258 6699728.708 5806492.267 6000211.770 75.14355 -445.83140 -9.54044 0.0002966482 -74.05087 33.008 0.001348 885.966 276.621 0.00156253186 0.00679760431 0.0000592784 0.0000927906 6702408.600 5815921.127 6000545.372 77.33246 -459.42336 -9.52843 0.0002960691 -78.07585 34.011 0.001389 886.078 276.799 0.00154334054 0.00681592588 0.0000585317 0.0000929424 6705395.702 5825813.819 6001424.671 79.50355 -472.96227 -9.49677 0.0002954741 -82.19596 35.015 0.001430 886.202 276.981 0.00152411906 0.00683373496 0.0000577824 0.0000930811 6708688.009 5836168.813 6002852.582 81.65608 -486.44506 -9.44537 0.0002948635 -86.41037 36.019 0.001471 886.337 277.167 0.00150487118 0.00685102471 0.0000570308 0.0000932067 6712283.698 5846984.403 6004832.219 83.78926 -499.86863 -9.37410 0.0002942375 -90.71823 37.022 0.001512 886.483 277.358 0.00148560072 0.00686778801 0.0000562772 0.0000933190 6716181.147 5858258.687 6007366.911 85.90231 -513.22979 -9.28285 0.0002935962 -95.11869 38.002 0.001552 886.637 277.547 0.00146678222 0.00688362803 0.0000555401 0.0000934159 6720273.007 5869698.005 6010378.097 87.94367 -526.20179 -9.17445 0.0002929560 -99.50025 39.005 0.001593 886.806 277.746 0.00144747863 0.00689932922 0.0000547830 0.0000935021 6724762.740 5881871.993 6014020.067 90.01461 -539.42996 -9.04334 0.0002922851 -104.08111 40.009 0.001634 886.986 277.949 0.00142816421 0.00691448098 0.0000540245 0.0000935751 6729550.825 5894497.567 6018228.442 92.06301 -552.58574 -8.89184 0.0002915995 -108.75198 41.013 0.001675 887.176 278.156 0.00140884304 0.00692907491 0.0000532648 0.0000936347 6734636.681 5907571.746 6023007.590 94.08802 -565.66562 -8.71979 0.0002908995 -113.51196 42.016 0.001716 887.378 278.367 0.00138951929 0.00694310222 0.0000525042 0.0000936810 6740020.065 5921091.185 6028362.200 96.08879 -578.66596 -8.52702 0.0002901852 -118.36015 43.020 0.001757 887.591 278.582 0.00137019717 0.00695655369 0.0000517429 0.0000937140 6745701.108 5935052.124 6034297.310 98.06444 -591.58304 -8.31336 0.0002894570 -123.29563 44.024 0.001798 887.816 278.801 0.00135088101 0.00696941966 0.0000509812 0.0000937337 6751680.351 5949450.338 6040818.349 100.01407 -604.41304 -8.07860 0.0002887149 -128.31749 45.003 0.001838 888.045 279.018 0.00133204588 0.00698139784 0.0000502378 0.0000937400 6757802.090 5963914.237 6047750.600 101.89021 -616.84241 -7.82904 0.0002879778 -133.29921 46.007 0.001879 888.291 279.244 0.00131275441 0.00699307663 0.0000494758 0.0000937333 6764373.882 5979161.763 6055446.878 103.78573 -629.48863 -7.55197 0.0002872091 -138.48894 47.010 0.001920 888.548 279.474 0.00129348215 0.00700413796 0.0000487141 0.0000937132 6771248.391 5994830.523 6063747.984 105.65243 -642.03565 -7.25313 0.0002864273 -143.76224 48.014 0.001961 888.816 279.707 0.00127423373 0.00701456979 0.0000479528 0.0000936798 6778428.294 6010913.657 6072661.395 107.48932 -654.47911 -6.93225 0.0002856326 -149.11813 49.018 0.002002 889.096 279.944 0.00125501385 0.00702435933 0.0000471922 0.0000936331 6785916.965 6027403.360 6082195.298 109.29537 -666.81451 -6.58903 0.0002848253 -154.55565 50.021 0.002043 889.387 280.184 0.00123582732 0.00703349287 0.0000464326 0.0000935731 6793718.558 6044290.715 6092358.700 111.06952 -679.03716 -6.22315 0.0002840057 -160.07379 51.000 0.002083 889.683 280.421 0.00121714555 0.00704175733 0.0000456926 0.0000935017 6801636.239 6061139.620 6102890.407 112.76860 -690.84835 -5.84400 0.0002831943 -165.53410 52.004 0.002124 889.997 280.667 0.00119803937 0.00704955025 0.0000449355 0.0000934154 6810071.784 6078780.922 6114327.918 114.47642 -702.83362 -5.43225 0.0002823509 -171.20860 53.008 0.002165 890.323 280.916 0.00117898138 0.00705663924 0.0000441800 0.0000933158 6818838.286 6096784.274 6126428.351 116.14888 -714.69083 -4.99664 0.0002814959 -176.96073 54.012 0.002206 890.662 281.167 0.00115997682 0.00706300485 0.0000434264 0.0000932031 6827944.200 6115133.346 6139206.105 117.78469 -726.41422 -4.53664 0.0002806295 -182.78946 55.015 0.002247 891.013 281.421 0.00114103103 0.00706862510 0.0000426749 0.0000930771 6837399.532 6133808.492 6152677.996 119.38245 -737.99762 -4.05165 0.0002797520 -188.69374 56.019 0.002288 891.378 281.676 0.00112214950 0.00707347455 0.0000419257 0.0000929380 6847216.165 6152785.507 6166864.169 120.94063 -749.43426 -3.54095 0.0002788638 -194.67253 57.023 0.002329 891.756 281.934 0.00110333794 0.00707752273 0.0000411791 0.0000927858 6857408.334 6172033.516 6181789.691 122.45749 -760.71654 -3.00363 0.0002779649 -200.72475 58.002 0.002369 892.138 282.185 0.00108505829 0.00708066309 0.0000404533 0.0000926248 6867730.371 6191033.555 6197095.226 123.89560 -771.56638 -2.45263 0.0002770781 -206.69908 59.005 0.002410 892.545 282.444 0.00106640277 0.00708300000 0.0000397124 0.0000924469 6878719.669 6210675.535 6213593.051 125.32427 -782.51523 -1.85871 0.0002761592 -212.89316 60.009 0.002451 892.968 282.701 0.00104783628 0.00708435171 0.0000389747 0.0000922560 6890152.240 6230375.170 6230996.892 126.70294 -793.27258 -1.23217 0.0002752306 -219.15740 61.013 0.002492 893.408 282.951 0.00102936795 0.00708443510 0.0000382404 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341.015 0.013930 898.312 273.605 0.00243796066 0.00526112598 0.0000893325 0.0000693194 7036003.738 5959772.041 6668854.587 220.28993 258.34185 262.78193 0.0003026520 6.18369 342.019 0.013971 897.694 273.545 0.00242449425 0.00530018734 0.0000889923 0.0000700013 7019060.966 5944236.397 6642978.549 222.60455 245.09536 261.85039 0.0003029936 7.85431 343.022 0.014012 897.093 273.490 0.00241084921 0.00533892843 0.0000886402 0.0000706771 7002588.170 5929237.919 6617606.891 224.92772 231.79303 260.93701 0.0003033173 9.40082 344.002 0.014052 896.522 273.441 0.00239736730 0.00537641299 0.0000882854 0.0000713303 6986966.663 5915119.888 6593340.645 227.20221 218.76314 260.06342 0.0003036157 10.79029 345.005 0.014093 895.952 273.395 0.00238337693 0.00541451226 0.0000879101 0.0000719935 6971411.898 5901173.382 6568966.979 229.54143 205.35607 259.18597 0.0003039036 12.09251 346.009 0.014134 895.398 273.354 0.00236921557 0.00545228217 0.0000875233 0.0000726500 6956316.562 5887754.871 6545099.158 231.88833 191.89879 258.32673 0.0003041733 13.27154 347.013 0.014175 894.861 273.318 0.00235488580 0.00548971974 0.0000871250 0.0000732996 6941677.147 5874861.474 6521737.592 234.24256 178.39320 257.48571 0.0003044246 14.32774 348.016 0.014216 894.339 273.286 0.00234039015 0.00552682205 0.0000867154 0.0000739422 6927490.163 5862490.410 6498882.659 236.60382 164.84116 256.66294 0.0003046576 15.26143 349.020 0.014257 893.832 273.259 0.00232573121 0.00556358618 0.0000862946 0.0000745775 6913752.136 5850638.997 6476534.704 238.97174 151.24456 255.85841 0.0003048721 16.07300 350.024 0.014298 893.342 273.237 0.00231091153 0.00560000928 0.0000858628 0.0000752053 6900459.608 5839304.649 6454694.044 241.34598 137.60524 255.07215 0.0003050681 16.76280 351.003 0.014338 892.879 273.220 0.00229630084 0.00563521261 0.0000854309 0.0000758104 6887917.328 5828742.672 6433875.251 243.66806 124.25922 254.32267 0.0003052414 17.31881 352.007 0.014379 892.419 273.207 0.00228117111 0.00567095358 0.0000849776 0.0000764230 6875494.822 5818422.621 6413037.653 246.05372 110.54102 253.57252 0.0003054006 17.76921 353.010 0.014420 891.975 273.198 0.00226588826 0.00570634509 0.0000845137 0.0000770274 6863507.606 5808612.508 6392708.167 248.44460 96.78565 252.84065 0.0003055411 18.09903 354.014 0.014461 891.546 273.195 0.00225045485 0.00574138431 0.0000840392 0.0000776237 6851952.274 5799310.123 6372887.033 250.84030 82.99497 252.12709 0.0003056628 18.30869 355.018 0.014502 891.133 273.196 0.00223487346 0.00577606847 0.0000835543 0.0000782115 6840825.430 5790513.348 6353574.483 253.24042 69.17086 251.43184 0.0003057658 18.39861 356.021 0.014543 890.735 273.201 0.00221914664 0.00581039477 0.0000830592 0.0000787908 6830123.690 5782220.153 6334770.740 255.64457 55.31516 250.75491 0.0003058500 18.36925 357.000 0.014583 890.362 273.211 0.00220366573 0.00584353630 0.0000825665 0.0000793475 6820089.417 5774612.679 6316916.177 257.99356 41.76875 250.11214 0.0003059140 18.22608 358.004 0.014624 889.994 273.226 0.00218765920 0.00587714738 0.0000820517 0.0000799093 6810217.599 5767308.733 6299118.279 260.40441 27.85615 249.47142 0.0003059610 17.96240 359.008 0.014665 889.641 273.245 0.00217151495 0.00591039228 0.0000815271 0.0000804619 6800760.861 5760502.838 6281829.838 262.81801 13.91753 248.84903 0.0003059891 17.58080 360.012 0.014706 889.304 273.269 0.00215523555 0.00594326817 0.0000809929 0.0000810053 6791715.851 5754193.302 6265051.079 265.23392 -0.04522 248.24500 0.0003059983 17.08178 Engine speed (Hz) = 68.0000000000 Output power (W) = 1160.6338645477 Heat into heater (W) = 18035.9067314973 Heat to regenerator (W) = -3.0752924933 Heat removal from cooler (W) = 16880.6599297401 Approximate Pumping loss (W) = -17980.7323977293 Thermal efficiency (%) = 6.4351290003 The average engine pressure (Pa) = 8527354.1479120981 The exp space work per cycle (J) = 265.1721987325 The comp space work per cycle (J) = -248.1040536656 The net work per cycle (J) = 17.0681450669 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1021.3151562384 The expansion work for Vmin-to-Vmax (J) = 1038.3833013053 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 890.558 273.313 0.00215808503 0.00593399639 0.0000809893 0.0000810090 6810596.516 5745882.274 6271543.921 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.012 0.000041 890.246 273.344 0.00214186518 0.00596621832 0.0000804511 0.0000815376 6802244.648 5740266.418 6255366.097 2.37247 -13.83539 -0.58240 0.0003059887 -0.62451 2.006 0.000081 889.949 273.378 0.00212551666 0.00599807562 0.0000799038 0.0000820568 6794288.518 5735134.143 6239687.005 4.74619 -27.69185 -1.14685 0.0003059606 -1.36326 3.024 0.000122 889.659 273.419 0.00210862854 0.00603034796 0.0000793336 0.0000825790 6786540.697 5730373.963 6224133.830 7.18010 -41.91468 -1.70676 0.0003059126 -2.23850 4.018 0.000162 889.391 273.463 0.00209202721 0.00606145820 0.0000787685 0.0000830786 6779375.727 5726216.727 6209465.578 9.55499 -55.80820 -2.23482 0.0003058471 -3.20703 5.011 0.000202 889.137 273.511 0.00207530489 0.00609219520 0.0000781947 0.0000835684 6772596.414 5722539.055 6195296.994 11.92975 -69.71720 -2.74489 0.0003057631 -4.28825 6.005 0.000242 888.898 273.564 0.00205846412 0.00612255605 0.0000776126 0.0000840482 6766199.426 5719339.757 6181628.429 14.30390 -83.63981 -3.23696 0.0003056607 -5.48164 7.023 0.000283 888.666 273.623 0.00204108212 0.00615328246 0.0000770073 0.0000845293 6760035.807 5716555.762 6168137.472 16.73627 -97.92264 -3.72263 0.0003055367 -6.82071 8.017 0.000323 888.455 273.686 0.00202400944 0.00618287252 0.0000764087 0.0000849883 6754402.818 5714321.791 6155482.633 19.10771 -111.86703 -4.17821 0.0003053971 -8.23958 9.010 0.000363 888.257 273.752 0.00200682616 0.00621207736 0.0000758022 0.0000854369 6749142.071 5712562.979 6143329.048 21.47705 -125.81926 -4.61574 0.0003052391 -9.76895 10.004 0.000403 888.074 273.824 0.00198953492 0.00624089388 0.0000751880 0.0000858749 6744250.231 5711278.378 6131677.194 23.84379 -139.77741 -5.03520 0.0003050629 -11.40826 11.022 0.000444 887.899 273.901 0.00197170214 0.00627002450 0.0000745507 0.0000863127 6739615.462 5710452.871 6120255.285 26.26646 -154.08860 -5.44639 0.0003048634 -13.20205 12.016 0.000484 887.743 273.982 0.00195420042 0.00629804492 0.0000739215 0.0000867288 6735460.446 5710125.864 6109621.057 28.62634 -168.05270 -5.82922 0.0003046504 -15.06221 13.010 0.000524 887.600 274.067 0.00193659883 0.00632566727 0.0000732852 0.0000871340 6731664.252 5710270.513 6099490.252 30.98204 -182.01671 -6.19393 0.0003044192 -17.03054 14.003 0.000564 887.471 274.156 0.00191890009 0.00635288817 0.0000726420 0.0000875281 6728223.549 5710886.062 6089863.521 33.33301 -195.97862 -6.54049 0.0003041701 -19.10642 15.022 0.000605 887.351 274.252 0.00190066092 0.00638036937 0.0000719757 0.0000879204 6725062.279 5712004.956 6080519.999 35.73728 -210.28523 -6.87686 0.0003038961 -21.34518 16.015 0.000645 887.248 274.351 0.00188277387 0.00640676671 0.0000713190 0.0000882916 6722331.260 5713571.917 6071916.246 38.07699 -224.23654 -7.18660 0.0003036106 -23.63697 17.009 0.000685 887.158 274.454 0.00186479805 0.00643275193 0.0000706560 0.0000886514 6719945.683 5715607.706 6063818.885 40.41030 -238.17944 -7.47810 0.0003033074 -26.03443 18.003 0.000725 887.081 274.561 0.00184673630 0.00645832131 0.0000699869 0.0000889997 6717902.244 5718111.692 6056228.805 42.73663 -252.11178 -7.75134 0.0003029865 -28.53690 19.021 0.000766 887.015 274.676 0.00182813682 0.00648409437 0.0000692948 0.0000893445 6716159.347 5721163.539 6048976.440 45.11327 -266.37921 -8.01243 0.0003026393 -31.21024 20.015 0.000806 886.964 274.793 0.00180990985 0.00650880990 0.0000686139 0.0000896691 6714798.664 5724613.766 6042416.618 47.42369 -280.28350 -8.24858 0.0003022829 -33.92335 21.008 0.000846 886.925 274.914 0.00179160572 0.00653309774 0.0000679274 0.0000899818 6713770.205 5728530.374 6036367.206 49.72535 -294.17055 -8.46636 0.0003019091 -36.73948 22.002 0.000886 886.898 275.039 0.00177322738 0.00655695373 0.0000672356 0.0000902825 6713070.733 5732912.773 6030829.399 52.01765 -308.03808 -8.66572 0.0003015180 -39.65793 23.020 0.000927 886.884 275.173 0.00175431572 0.00658095348 0.0000665211 0.0000905782 6712691.844 5737887.512 6025685.436 54.35690 -322.22962 -8.85091 0.0003010994 -42.75480 24.014 0.000967 886.882 275.307 0.00173579636 0.00660392176 0.0000658192 0.0000908545 6712648.778 5743211.296 6021187.646 56.62835 -336.05048 -9.01283 0.0003006737 -45.87832 25.007 0.001007 886.892 275.446 0.00171721202 0.00662644487 0.0000651126 0.0000911186 6712925.098 5748999.017 6017205.624 58.88857 -349.84467 -9.15618 0.0003002311 -49.10203 26.001 0.001047 886.914 275.589 0.00169856582 0.00664851811 0.0000644015 0.0000913703 6713517.713 5755250.011 6013740.946 61.13691 -363.60975 -9.28091 0.0002997718 -52.42522 27.019 0.001088 886.949 275.741 0.00167939259 0.00667067124 0.0000636682 0.0000916155 6714450.219 5762137.336 6010728.326 63.42845 -377.68612 -9.38936 0.0002992837 -55.93394 28.013 0.001128 886.995 275.893 0.00166063090 0.00669181849 0.0000629487 0.0000918422 6715674.089 5769324.257 6008316.563 65.65074 -391.38453 -9.47618 0.0002987908 -59.45630 29.007 0.001168 887.052 276.050 0.00164181711 0.00671250071 0.0000622254 0.0000920563 6717205.258 5776972.164 6006427.615 67.85917 -405.04611 -9.54419 0.0002982816 -63.07587 30.000 0.001208 887.121 276.211 0.00162295452 0.00673271255 0.0000614984 0.0000922578 6719040.902 5785080.171 6005063.546 70.05305 -418.66820 -9.59329 0.0002977563 -66.79191 31.019 0.001249 887.204 276.380 0.00160357327 0.00675293570 0.0000607498 0.0000924513 6721235.564 5793867.358 6004212.407 72.28597 -432.58702 -9.62393 0.0002972011 -70.70014 32.012 0.001289 887.296 276.550 0.00158462227 0.00677217779 0.0000600163 0.0000926272 6723679.503 5802903.988 6003918.120 74.44829 -446.12078 -9.63453 0.0002966435 -74.60912 33.006 0.001329 887.398 276.724 0.00156563285 0.00679093207 0.0000592798 0.0000927904 6726419.980 5812397.458 6004155.842 76.59396 -459.60666 -9.62597 0.0002960701 -78.61219 34.024 0.001370 887.515 276.907 0.00154613252 0.00680964247 0.0000585220 0.0000929443 6729534.232 5822600.996 6004954.443 78.77525 -473.37698 -9.59722 0.0002954663 -82.81215 35.018 0.001410 887.640 277.089 0.00152707618 0.00682738973 0.0000577803 0.0000930815 6732868.072 5833015.365 6006277.894 80.88500 -486.75697 -9.54958 0.0002948618 -87.00328 36.012 0.001450 887.776 277.276 0.00150799231 0.00684462971 0.0000570362 0.0000932058 6736491.736 5843882.097 6008142.042 82.97590 -500.08010 -9.48247 0.0002942420 -91.28604 37.005 0.001490 887.923 277.467 0.00148888462 0.00686135544 0.0000562902 0.0000933172 6740403.354 5855199.350 6010550.160 85.04719 -513.34328 -9.39578 0.0002936074 -95.65959 38.024 0.001531 888.085 277.667 0.00146927848 0.00687795804 0.0000555235 0.0000934179 6744709.872 5867264.934 6013586.683 87.14912 -526.87246 -9.28646 0.0002929415 -100.23583 39.017 0.001571 888.253 277.866 0.00145013421 0.00689361992 0.0000547740 0.0000935031 6749199.762 5879487.924 6017107.308 89.17835 -540.00435 -9.15972 0.0002922771 -104.79065 40.011 0.001611 888.432 278.070 0.00143097778 0.00690874469 0.0000540231 0.0000935752 6753973.332 5892154.409 6021183.249 91.18560 -553.06638 -9.01298 0.0002915983 -109.43367 41.004 0.001651 888.621 278.277 0.00141181317 0.00692332411 0.0000532711 0.0000936343 6759029.711 5905261.478 6025818.801 93.17009 -566.05511 -8.84610 0.0002909053 -114.16404 42.023 0.001692 888.826 278.494 0.00139216520 0.00693769302 0.0000524993 0.0000936813 6764505.431 5919150.043 6031155.839 95.17968 -579.28876 -8.65397 0.0002901806 -119.10238 43.016 0.001732 889.037 278.709 0.00137299652 0.00695114127 0.0000517457 0.0000937139 6770133.194 5933138.857 6036939.077 97.11548 -592.11808 -8.44577 0.0002894596 -124.00688 44.010 0.001772 889.258 278.928 0.00135383217 0.00696401681 0.0000509916 0.0000937335 6776043.241 5947557.069 6043296.954 99.02596 -604.86306 -8.21689 0.0002887251 -128.99601 45.004 0.001812 889.489 279.150 0.00133467643 0.00697630965 0.0000502372 0.0000937400 6782236.228 5962400.011 6050235.227 100.91022 -617.51984 -7.96711 0.0002879772 -134.06886 46.022 0.001853 889.738 279.383 0.00131505529 0.00698829407 0.0000494641 0.0000937331 6788878.878 5978049.302 6057955.820 102.81342 -630.39734 -7.68917 0.0002871971 -139.35444 47.016 0.001893 889.990 279.613 0.00129593042 0.00699937408 0.0000487100 0.0000937131 6795648.891 5993735.476 6066089.023 104.64179 -642.86316 -7.39638 0.0002864231 -144.59397 48.009 0.001933 890.254 279.846 0.00127682761 0.00700983763 0.0000479564 0.0000936800 6802707.032 6009828.238 6074823.156 106.44111 -655.22831 -7.08195 0.0002856364 -149.91438 49.003 0.001973 890.528 280.083 0.00125775147 0.00701967214 0.0000472034 0.0000936339 6810056.289 6026319.894 6084166.282 108.21040 -667.48835 -6.74560 0.0002848373 -155.31472 50.021 0.002014 890.820 280.329 0.00123823104 0.00702908556 0.0000464326 0.0000935731 6817895.325 6043628.617 6094384.297 109.99168 -679.94099 -6.37775 0.0002840057 -160.93201 51.015 0.002054 891.116 280.572 0.00121922342 0.00703760386 0.0000456818 0.0000935005 6825846.457 6060899.761 6104988.801 111.69696 -691.97388 -5.99598 0.0002831823 -166.49123 52.008 0.002094 891.423 280.818 0.00120025701 0.00704544896 0.0000449323 0.0000934150 6834102.770 6078538.950 6116232.248 113.36896 -703.88708 -5.59122 0.0002823472 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6931466.934 197.34507 373.90931 274.94615 0.0002987999 -20.07398 333.023 0.013407 904.822 274.242 0.00254033388 0.00492949288 0.0000916055 0.0000636992 7201359.632 6090941.307 6900632.215 199.58787 361.10007 273.83610 0.0002993046 -17.25001 334.017 0.013447 904.090 274.146 0.00252855525 0.00497054209 0.0000913658 0.0000644144 7180955.221 6071334.024 6871040.191 201.78636 348.52973 272.77079 0.0002997803 -14.62014 335.011 0.013487 903.374 274.055 0.00251658087 0.00501130660 0.0000911139 0.0000651255 7161040.583 6052282.157 6841933.874 203.99492 335.88870 271.72296 0.0003002393 -12.11382 336.004 0.013527 902.675 273.968 0.00250441324 0.00505178290 0.0000908496 0.0000658320 7141612.026 6033781.764 6813314.312 206.21336 323.17893 270.69266 0.0003006816 -9.73085 337.023 0.013568 901.974 273.885 0.00249174347 0.00509296839 0.0000905660 0.0000665513 7122198.379 6015387.175 6784485.438 208.49731 310.08205 269.65482 0.0003011174 -7.41613 338.016 0.013608 901.307 273.808 0.00247919212 0.00513285057 0.0000902771 0.0000672482 7103742.933 5997991.878 6756854.463 210.73513 297.23887 268.66010 0.0003015253 -5.28236 339.010 0.013648 900.656 273.736 0.00246645502 0.00517243433 0.0000899762 0.0000679399 7085762.549 5981136.773 6729712.975 212.98218 284.33267 267.68301 0.0003019161 -3.27133 340.003 0.013688 900.021 273.669 0.00245353464 0.00521171642 0.0000896633 0.0000686263 7068253.633 5964818.342 6703061.751 215.23822 271.36532 266.72356 0.0003022896 -1.38281 341.022 0.013729 899.386 273.605 0.00244010364 0.00525166417 0.0000893302 0.0000693241 7050792.549 5948645.344 6676253.794 217.55975 258.01225 265.75848 0.0003026543 0.42605 342.015 0.013769 898.783 273.547 0.00242681969 0.00529032573 0.0000889934 0.0000699991 7034227.428 5933403.326 6650597.484 219.83324 244.92674 264.83485 0.0003029925 2.06727 343.009 0.013809 898.196 273.494 0.00241335992 0.00532867620 0.0000886450 0.0000706681 7018123.025 5918687.967 6625433.438 222.11494 231.78566 263.92894 0.0003033131 3.58677 344.003 0.013849 897.624 273.446 0.00239972678 0.00536671255 0.0000882850 0.0000713310 7002475.826 5904496.162 6600762.217 224.40458 218.59085 263.04078 0.0003036160 4.98484 345.021 0.013890 897.055 273.401 0.00238557548 0.00540537073 0.0000879041 0.0000720039 6986908.282 5890489.769 6575986.216 226.75939 205.01231 262.14884 0.0003039080 6.29215 346.015 0.013930 896.515 273.362 0.00237159881 0.00544276196 0.0000875210 0.0000726538 6972176.233 5877349.062 6552314.511 229.06421 191.71425 261.29666 0.0003041748 7.44526 347.008 0.013970 895.991 273.328 0.00235745620 0.00547983023 0.0000871267 0.0000732969 6957890.867 5864723.124 6529137.078 231.37605 178.36795 260.46228 0.0003044236 8.47787 348.002 0.014010 895.482 273.298 0.00234315011 0.00551657268 0.0000867214 0.0000739330 6944048.736 5852609.249 6506454.327 233.69461 164.97521 259.64570 0.0003046544 9.39034 349.020 0.014051 894.977 273.273 0.00232831925 0.00555389259 0.0000862945 0.0000745777 6930316.957 5840721.223 6483718.287 236.07776 151.20133 258.82720 0.0003048722 10.20129 350.014 0.014091 894.499 273.252 0.00231368960 0.00558996663 0.0000858670 0.0000751993 6917361.882 5829636.382 6462038.393 238.40891 137.72005 258.04672 0.0003050663 10.87152 351.008 0.014131 894.037 273.237 0.00229890388 0.00562570639 0.0000854288 0.0000758133 6904839.701 5819056.001 6440854.245 240.74574 124.19775 257.28409 0.0003052422 11.42270 352.001 0.014171 893.590 273.226 0.00228396454 0.00566110909 0.0000849801 0.0000764197 6892747.021 5808977.755 6420166.149 243.08792 110.63623 256.53932 0.0003053998 11.85519 353.020 0.014212 893.148 273.219 0.00226849485 0.00569704421 0.0000845093 0.0000770330 6880794.224 5799166.339 6399475.965 245.49380 96.69684 255.79448 0.0003055423 12.17575 354.013 0.014252 892.732 273.217 0.00225325195 0.00573175602 0.0000840395 0.0000776232 6869560.928 5790098.171 6379793.250 247.84566 83.06137 255.08590 0.0003056628 12.36913 355.007 0.014292 892.330 273.220 0.00223786287 0.00576612251 0.0000835596 0.0000782052 6858746.922 5781525.657 6360607.428 250.20172 69.39209 254.39521 0.0003057648 12.44506 356.000 0.014332 891.944 273.227 0.00222233008 0.00580014097 0.0000830696 0.0000787788 6848348.850 5773446.833 6341918.756 252.56160 55.69079 253.72242 0.0003058485 12.40396 357.019 0.014373 891.564 273.240 0.00220626239 0.00583464584 0.0000825572 0.0000793578 6838118.976 5765676.430 6323279.082 254.98401 41.61562 253.05139 0.0003059150 12.24083 358.012 0.014413 891.208 273.256 0.00219044615 0.00586795119 0.0000820474 0.0000799139 6828552.904 5758591.660 6305597.914 257.35037 27.85499 252.41487 0.0003059613 11.96410 359.006 0.014453 890.867 273.277 0.00217449368 0.00590090025 0.0000815281 0.0000804610 6819392.638 5751995.150 6288414.663 259.71931 14.06779 251.79627 0.0003059890 11.57169 360.024 0.014494 890.532 273.304 0.00215800364 0.00593430040 0.0000809860 0.0000810123 6810421.022 5745738.744 6271318.846 262.14971 -0.08977 251.18082 0.0003059983 11.04991 Engine speed (Hz) = 69.0000000000 Output power (W) = 761.4615175373 Heat into heater (W) = 18088.3297005090 Heat to regenerator (W) = -6.1940941994 Heat removal from cooler (W) = 17331.4765436922 Approximate Pumping loss (W) = -18711.1994844285 Thermal efficiency (%) = 4.2096839794 The average engine pressure (Pa) = 8529803.0166899301 The exp space work per cycle (J) = 262.0668775724 The comp space work per cycle (J) = -251.0312034052 The net work per cycle (J) = 11.0356741672 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1024.4538606569 The expansion work for Vmin-to-Vmax (J) = 1035.4895348241 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) 0.022 0.000001 891.797 273.346 0.00216101685 0.00592462839 0.0000809875 0.0000810108 6829487.404 5737376.994 6278050.770 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.004 0.000040 891.497 273.378 0.00214500166 0.00595654358 0.0000804552 0.0000815336 6821426.047 5731958.645 6261976.154 2.32608 -13.67508 -0.57869 0.0003059888 -0.63196 2.012 0.000080 891.203 273.415 0.00212844372 0.00598890913 0.0000799000 0.0000820603 6813559.075 5726893.081 6245994.951 4.71298 -27.72337 -1.15401 0.0003059603 -1.39635 3.020 0.000120 890.925 273.457 0.00211175457 0.00602089912 0.0000793357 0.0000825772 6806094.720 5722324.023 6230526.074 7.10060 -41.79262 -1.71089 0.0003059128 -2.27794 4.003 0.000159 890.667 273.502 0.00209535884 0.00605172492 0.0000787767 0.0000830715 6799201.197 5718345.928 6215937.538 9.42877 -55.52849 -2.23608 0.0003058482 -3.24981 5.011 0.000199 890.417 273.554 0.00207841829 0.00608296439 0.0000781947 0.0000835684 6792521.481 5714753.520 6201481.589 11.81640 -69.63349 -2.75649 0.0003057631 -4.36127 6.019 0.000239 890.182 273.609 0.00206135437 0.00611381933 0.0000776041 0.0000840550 6786233.712 5711653.765 6187539.110 14.20333 -83.75371 -3.25842 0.0003056591 -5.58832 7.002 0.000278 889.967 273.668 0.00204460083 0.00614352971 0.0000770201 0.0000845194 6780477.077 5709104.732 6174439.981 16.52941 -97.53371 -3.72999 0.0003055395 -6.89543 8.010 0.000318 889.759 273.733 0.00202730112 0.00617361606 0.0000764129 0.0000849852 6774952.837 5706974.637 6161512.908 18.91343 -111.67821 -4.19536 0.0003053981 -8.34908 9.018 0.000358 889.567 273.803 0.00200988605 0.00620330852 0.0000757976 0.0000854403 6769809.833 5705333.955 6149100.689 21.29523 -125.83205 -4.64220 0.0003052379 -9.91661 10.001 0.000397 889.392 273.876 0.00199279786 0.00623187633 0.0000751901 0.0000858735 6765159.014 5704204.580 6137494.995 23.61483 -139.63911 -5.06001 0.0003050635 -11.55403 11.009 0.000437 889.227 273.955 0.00197516295 0.00626078125 0.0000745593 0.0000863069 6760758.334 5703527.706 6126101.227 25.99068 -153.80545 -5.47018 0.0003048662 -13.34472 12.017 0.000477 889.075 274.038 0.00195742083 0.00628928241 0.0000739211 0.0000867291 6756728.130 5703337.537 6115224.029 28.36270 -167.97506 -5.86176 0.0003046502 -15.24750 13.025 0.000517 888.938 274.126 0.00193957430 0.00631737636 0.0000732755 0.0000871401 6753064.773 5703633.267 6104864.071 30.73037 -182.14586 -6.23472 0.0003044156 -17.26173 14.008 0.000556 888.817 274.217 0.00192207609 0.00634437252 0.0000726392 0.0000875298 6749842.741 5704388.705 6095261.804 33.03410 -195.96153 -6.58040 0.0003041689 -19.33232 15.016 0.000596 888.706 274.314 0.00190403167 0.00637165177 0.0000719797 0.0000879180 6746893.242 5705641.886 6085925.561 35.39149 -210.12847 -6.91651 0.0003038978 -21.56481 16.024 0.000636 888.608 274.416 0.00188589131 0.00639851305 0.0000713135 0.0000882946 6744299.787 5707378.816 6077108.867 37.74284 -224.29023 -7.23391 0.0003036082 -23.90684 17.006 0.000675 888.525 274.520 0.00186811487 0.00642429675 0.0000706577 0.0000886505 6742110.501 5709537.457 6069013.675 40.02902 -238.09088 -7.52534 0.0003033082 -26.29516 18.014 0.000715 888.454 274.632 0.00184979362 0.00645032129 0.0000699788 0.0000890038 6740209.560 5712227.893 6061225.791 42.36670 -252.23595 -7.80570 0.0003029826 -28.85157 19.022 0.000755 888.395 274.748 0.00183138518 0.00647591626 0.0000692938 0.0000893450 6738653.867 5715400.202 6053960.331 44.69657 -266.36921 -8.06726 0.0003026388 -31.51552 20.005 0.000794 888.350 274.865 0.00181335589 0.00650045384 0.0000686203 0.0000896661 6737466.023 5718956.590 6047380.565 46.96010 -280.13558 -8.30413 0.0003022864 -34.21573 21.013 0.000834 888.317 274.990 0.00179478416 0.00652518822 0.0000679239 0.0000899833 6736581.585 5723078.861 6041150.239 49.27276 -294.23873 -8.52842 0.0003019072 -37.09000 22.021 0.000874 888.296 275.119 0.00177613431 0.00654948045 0.0000672220 0.0000902883 6736031.682 5727681.253 6035445.894 51.57578 -308.32311 -8.73378 0.0003015102 -40.06969 23.004 0.000913 888.287 275.250 0.00175787849 0.00657273537 0.0000665325 0.0000905736 6735814.217 5732630.287 6030391.888 53.81135 -322.03500 -8.91572 0.0003011062 -43.07571 24.012 0.000953 888.291 275.389 0.00173908361 0.00659614103 0.0000658205 0.0000908540 6735914.574 5738179.167 6025730.481 56.09347 -336.07516 -9.08353 0.0003006745 -46.26147 25.020 0.000993 888.307 275.532 0.00172022006 0.00661909076 0.0000651036 0.0000911218 6736338.947 5744206.356 6021599.430 58.36404 -350.08922 -9.23225 0.0003002254 -49.55047 26.003 0.001032 888.334 275.676 0.00170176509 0.00664102307 0.0000644002 0.0000913708 6737061.370 5750542.757 6018083.895 60.56610 -363.72534 -9.35881 0.0002997709 -52.85591 27.011 0.001072 888.373 275.828 0.00168277553 0.00666305773 0.0000636744 0.0000916135 6738115.543 5757512.624 6015005.350 62.81192 -377.68027 -9.46964 0.0002992879 -56.34655 28.019 0.001112 888.424 275.985 0.00166372716 0.00668462132 0.0000629445 0.0000918434 6739483.574 5764958.697 6012462.514 65.04420 -391.60131 -9.56118 0.0002987879 -59.93812 29.002 0.001151 888.485 276.142 0.00164510162 0.00670518707 0.0000622290 0.0000920552 6741116.444 5772676.333 6010500.993 67.20698 -405.13912 -9.63179 0.0002982843 -63.53634 30.010 0.001191 888.559 276.308 0.00162594716 0.00672580413 0.0000614916 0.0000922597 6743094.738 5781060.427 6009022.341 69.41049 -418.98522 -9.68502 0.0002977512 -67.32494 31.018 0.001231 888.645 276.478 0.00160674418 0.00674593335 0.0000607506 0.0000924511 6745377.324 5789918.044 6008085.919 71.59838 -432.78918 -9.71873 0.0002972017 -71.21210 32.000 0.001270 888.739 276.648 0.00158797800 0.00676508387 0.0000600250 0.0000926252 6747892.931 5799009.087 6007697.353 73.71585 -446.20469 -9.73272 0.0002966502 -75.09617 33.008 0.001310 888.847 276.827 0.00156868981 0.00678423164 0.0000592779 0.0000927907 6750767.709 5808798.572 6007839.323 75.87078 -459.91682 -9.72761 0.0002960686 -79.17554 34.016 0.001350 888.966 277.010 0.00154936394 0.00680287290 0.0000585279 0.0000929432 6753938.127 5819057.937 6008531.453 78.00792 -473.57798 -9.70270 0.0002954711 -83.35098 35.024 0.001390 889.095 277.198 0.00153000416 0.00682100088 0.0000577754 0.0000930824 6757401.554 5829785.664 6009776.774 80.12652 -487.18506 -9.65786 0.0002948578 -87.62163 36.007 0.001429 889.232 277.385 0.00151109938 0.00683817477 0.0000570395 0.0000932053 6761058.157 5840694.515 6011526.675 82.17358 -500.39684 -9.59487 0.0002942448 -91.87636 37.015 0.001469 889.383 277.581 0.00149168395 0.00685526809 0.0000562826 0.0000933183 6765093.228 5852342.046 6013874.283 84.25329 -513.88767 -9.51035 0.0002936008 -96.33251 38.023 0.001509 889.545 277.782 0.00147224621 0.00687182634 0.0000555238 0.0000934179 6769414.573 5864452.224 6016785.397 86.31216 -527.31469 -9.40555 0.0002929417 -100.88126 39.006 0.001548 889.713 277.981 0.00145327679 0.00688744787 0.0000547824 0.0000935022 6773901.775 5876702.787 6020170.061 88.29869 -540.34134 -9.28371 0.0002922846 -105.40459 40.014 0.001588 889.896 278.190 0.00143380692 0.00690292564 0.0000540207 0.0000935754 6778783.430 5889719.313 6024205.996 90.31397 -553.63217 -9.13841 0.0002915961 -110.13358 41.022 0.001628 890.089 278.403 0.00141432697 0.00691784362 0.0000532577 0.0000936352 6783946.779 5903190.379 6028818.066 92.30595 -566.84872 -8.97238 0.0002908929 -114.95247 42.005 0.001667 890.287 278.614 0.00139532840 0.00693184099 0.0000525129 0.0000936806 6789251.387 5916759.027 6033874.196 94.22487 -579.65975 -8.79036 0.0002901935 -119.73654 43.013 0.001707 890.500 278.835 0.00137584116 0.00694562624 0.0000517484 0.0000937138 6794968.755 5931117.297 6039638.805 96.16830 -592.71851 -8.58283 0.0002894622 -124.73022 44.021 0.001747 890.724 279.059 0.00135635676 0.00695882331 0.0000509834 0.0000937336 6800966.243 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324.018 0.012858 913.146 275.313 0.00263906541 0.00453588905 0.0000932023 0.0000570584 7420711.162 6281335.751 7198742.816 177.65978 470.53981 287.29415 0.0002942607 -52.36863 325.001 0.012897 912.283 275.175 0.00262933833 0.00457881594 0.0000930790 0.0000577943 7396158.771 6256888.489 7165178.414 179.72300 458.86833 286.08583 0.0002948733 -48.66514 326.009 0.012937 911.415 275.038 0.00261913962 0.00462259386 0.0000929395 0.0000585468 7371511.048 6232421.122 7131230.437 181.85036 446.80684 284.86370 0.0002954863 -44.99316 327.017 0.012977 910.564 274.906 0.00260871847 0.00466611437 0.0000927868 0.0000592967 7347400.160 6208563.016 7097767.578 183.98902 434.65558 283.65904 0.0002960834 -41.44922 328.025 0.013017 909.730 274.779 0.00259807748 0.00470937296 0.0000926208 0.0000600437 7323821.962 6185309.083 7064791.760 186.13889 422.41668 282.47191 0.0002966646 -38.03328 329.008 0.013056 908.933 274.661 0.00258749333 0.00475129374 0.0000924465 0.0000607692 7301342.172 6163213.454 7033110.990 188.24568 410.40138 281.33140 0.0002972157 -34.82592 330.016 0.013096 908.132 274.545 0.00257642579 0.00479402230 0.0000922547 0.0000615101 7278803.982 6141138.270 7001102.272 190.41732 397.99555 280.17909 0.0002977648 -31.66258 331.024 0.013136 907.348 274.434 0.00256514612 0.00483647624 0.0000920499 0.0000622475 7256786.336 6119652.819 6969585.643 192.59979 385.50828 279.04449 0.0002982974 -28.62701 332.006 0.013175 906.599 274.330 0.00255394666 0.00487760056 0.0000918378 0.0000629628 7235816.478 6099267.898 6939332.138 194.73797 373.25674 277.95536 0.0002988007 -25.79024 333.014 0.013215 905.848 274.229 0.00254225562 0.00491950033 0.0000916076 0.0000636927 7214815.121 6078933.717 6908791.659 196.94136 360.61463 276.85590 0.0002993002 -23.00666 334.022 0.013255 905.114 274.133 0.00253036010 0.00496111372 0.0000913645 0.0000644183 7194322.431 6059175.877 6878747.415 199.15509 347.89713 275.77431 0.0002997828 -20.35046 335.005 0.013294 904.414 274.045 0.00251856757 0.00500140745 0.0000911153 0.0000651216 7174828.049 6040462.816 6849933.219 201.32326 335.42687 274.73700 0.0003002369 -17.88314 336.013 0.013334 903.712 273.958 0.00250627578 0.00504244426 0.0000908471 0.0000658384 7155328.437 6021830.821 6820872.529 203.55686 322.56632 273.69082 0.0003006855 -15.47800 337.021 0.013374 903.027 273.877 0.00249378714 0.00508318372 0.0000905665 0.0000665503 7136325.859 6003762.809 6792311.450 205.80021 309.63627 272.66262 0.0003011168 -13.19971 338.004 0.013413 902.375 273.803 0.00248142363 0.00512261506 0.0000902808 0.0000672396 7118273.215 5986685.757 6764946.367 207.99666 296.96442 271.67747 0.0003015204 -11.10030 339.012 0.013453 901.723 273.732 0.00246855371 0.00516275700 0.0000899755 0.0000679414 7100240.972 5969720.187 6737374.839 210.25860 283.90285 270.68490 0.0003019169 -9.07188 340.020 0.013493 901.086 273.665 0.00245549452 0.00520259133 0.0000896580 0.0000686377 7082694.360 5953307.256 6710305.644 212.52961 270.77757 269.71041 0.0003022956 -7.16963 341.003 0.013532 900.482 273.605 0.00244258201 0.00524113047 0.0000893366 0.0000693111 7066050.366 5937833.309 6684397.585 214.75231 257.92090 268.77772 0.0003026477 -5.43616 342.011 0.013572 899.878 273.548 0.00242915648 0.00528034758 0.0000889950 0.0000699959 7049451.766 5922501.405 6658322.760 217.04045 244.67540 267.83902 0.0003029910 -3.78233 343.019 0.013612 899.291 273.496 0.00241554923 0.00531924738 0.0000886415 0.0000706746 7033327.590 5907711.794 6632752.448 219.33685 231.37188 266.91849 0.0003033161 -2.25387 344.002 0.013651 898.734 273.450 0.00240210960 0.00535686617 0.0000882854 0.0000713303 7018059.743 5893810.935 6608307.746 221.58353 218.34686 266.03848 0.0003036157 -0.88404 345.010 0.013691 898.178 273.407 0.00238815088 0.00539513007 0.0000879084 0.0000719963 7002861.628 5880082.880 6583735.652 223.89540 204.93426 265.15389 0.0003039048 0.39771 346.018 0.013731 897.639 273.370 0.00237401795 0.00543306742 0.0000875199 0.0000726556 6988126.904 5866887.741 6559669.812 226.21465 191.46922 264.28752 0.0003041755 1.55502 347.000 0.013770 897.128 273.337 0.00236007303 0.00546973904 0.0000871299 0.0000732918 6974203.201 5854532.772 6536693.526 228.48273 178.29211 263.46037 0.0003044217 2.56389 348.008 0.013810 896.620 273.309 0.00234560347 0.00550702259 0.0000867187 0.0000739372 6960372.898 5842381.610 6513628.983 230.81561 164.72900 262.63005 0.0003046558 3.47642 349.016 0.013850 896.129 273.286 0.00233096722 0.00554397070 0.0000862962 0.0000745752 6946995.099 5830754.932 6491072.093 233.15490 151.11901 261.81800 0.0003048714 4.26553 350.024 0.013890 895.653 273.267 0.00231616681 0.00558058043 0.0000858625 0.0000752058 6934066.171 5819650.109 6469023.264 235.50024 137.46398 261.02424 0.0003050682 4.93161 351.007 0.013929 895.204 273.253 0.00230158076 0.00561594635 0.0000854290 0.0000758131 6921889.186 5809322.942 6448015.192 237.79244 124.10874 260.26795 0.0003052421 5.46294 352.015 0.013969 894.759 273.244 0.00228646355 0.00565187926 0.0000849737 0.0000764282 6909836.146 5799241.455 6426970.897 240.14868 110.37021 259.51036 0.0003054019 5.88717 353.023 0.014009 894.330 273.239 0.00227118969 0.00568746519 0.0000845076 0.0000770352 6898221.231 5789674.600 6406435.751 242.50988 96.59216 258.77109 0.0003055428 6.18954 354.006 0.014048 893.926 273.239 0.00225614929 0.00572182467 0.0000840430 0.0000776190 6887315.086 5780840.277 6386904.514 244.81646 83.12228 258.06797 0.0003056620 6.36744 355.014 0.014088 893.527 273.244 0.00224057352 0.00575671691 0.0000835561 0.0000782094 6876554.910 5772283.350 6367375.901 247.18631 69.27162 257.36494 0.0003057655 6.43039 356.022 0.014128 893.144 273.253 0.00222484866 0.00579125368 0.0000830589 0.0000787912 6866222.178 5764234.691 6348357.392 249.55995 55.38694 256.68027 0.0003058501 6.37278 357.005 0.014167 892.785 273.267 0.00220937582 0.00582458205 0.0000825643 0.0000793499 6856555.897 5756874.748 6330305.777 251.87749 41.81842 256.03041 0.0003059142 6.20096 358.013 0.014207 892.432 273.285 0.00219336402 0.00585840836 0.0000820472 0.0000799141 6847056.857 5749824.263 6312295.630 254.25737 27.87205 255.38205 0.0003059613 5.90657 359.021 0.014247 892.094 273.309 0.00217721074 0.00589187068 0.0000815203 0.0000804690 6837974.620 5743276.498 6294796.503 256.63978 13.89721 254.75208 0.0003059893 5.49299 360.004 0.014286 891.779 273.336 0.00216132754 0.00592414323 0.0000809972 0.0000810011 6829517.328 5737374.836 6278227.168 258.96463 0.24614 254.15558 0.0003059983 4.97547 Engine speed (Hz) = 70.0000000000 Output power (W) = 347.2503537369 Heat into heater (W) = 18127.5243511584 Heat to regenerator (W) = 17.2295329738 Heat removal from cooler (W) = 17790.8907714256 Approximate Pumping loss (W) = -19458.3065169595 Thermal efficiency (%) = 1.9155972267 The average engine pressure (Pa) = 8531798.4664747864 The exp space work per cycle (J) = 259.0258967809 The comp space work per cycle (J) = -254.0651774418 The net work per cycle (J) = 4.9607193391 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1027.6172106556 The expansion work for Vmin-to-Vmax (J) = 1032.5779299947 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 893.048 273.378 0.00216415768 0.00591476541 0.0000809926 0.0000810057 6848578.446 5728837.645 6284846.749 0.00000 0.00000 0.00000 0.0003059983 0.00000 1.009 0.000039 892.751 273.412 0.00214794341 0.00594717941 0.0000804527 0.0000815361 6840609.167 5723479.330 6268469.110 2.33827 -13.85967 -0.58959 0.0003059887 -0.65551 2.006 0.000078 892.469 273.450 0.00213159698 0.00597923160 0.0000799036 0.0000820570 6833036.154 5718608.255 6252590.865 4.67758 -27.74281 -1.16121 0.0003059606 -1.42627 3.003 0.000117 892.201 273.494 0.00211512088 0.00601091913 0.0000793456 0.0000825682 6825855.851 5714223.036 6237212.385 7.01748 -41.64760 -1.71484 0.0003059138 -2.31178 4.025 0.000157 891.942 273.543 0.00209809024 0.00604303732 0.0000787641 0.0000830824 6818895.649 5710228.708 6221959.147 9.41752 -55.92948 -2.26395 0.0003058465 -3.33866 5.022 0.000196 891.703 273.595 0.00208135917 0.00607397727 0.0000781884 0.0000835737 6812499.909 5706823.726 6207594.229 11.75723 -69.87247 -2.78109 0.0003057621 -4.45504 6.019 0.000235 891.478 273.653 0.00206450606 0.00610454368 0.0000776043 0.0000840549 6806486.074 5703900.863 6193730.320 14.09613 -83.83150 -3.28019 0.0003056592 -5.68458 7.016 0.000274 891.267 273.714 0.00204753346 0.00613473357 0.0000770119 0.0000845258 6800850.556 5701459.023 6180367.878 16.43375 -97.80469 -3.76124 0.0003055377 -7.02674 8.013 0.000313 891.071 273.781 0.00203044395 0.00616454386 0.0000764113 0.0000849864 6795589.755 5699497.177 6167507.390 18.76959 -111.79013 -4.22422 0.0003053977 -8.48098 9.009 0.000352 890.887 273.852 0.00201324012 0.00619397147 0.0000758029 0.0000854364 6790700.064 5698014.355 6155149.375 21.10317 -125.78590 -4.66911 0.0003052393 -10.04673 10.006 0.000391 890.718 273.927 0.00199592459 0.00622301321 0.0000751867 0.0000858758 6786177.862 5697009.648 6143294.388 23.43398 -139.79008 -5.09589 0.0003050625 -11.72341 11.003 0.000430 890.562 274.007 0.00197849998 0.00625166588 0.0000745630 0.0000863044 6782019.520 5696482.201 6131943.021 25.76151 -153.80069 -5.50453 0.0003048674 -13.51045 12.025 0.000470 890.416 274.094 0.00196051806 0.00628064563 0.0000739156 0.0000867327 6778128.715 5696436.163 6120824.418 28.14476 -168.17516 -5.90480 0.0003046483 -15.45733 13.022 0.000509 890.287 274.184 0.00194288067 0.00630850003 0.0000732771 0.0000871391 6774696.258 5696873.066 6110495.202 30.46405 -182.19272 -6.27666 0.0003044162 -17.46607 14.019 0.000548 890.172 274.277 0.00192514232 0.00633595519 0.0000726317 0.0000875343 6771616.617 5697784.943 6100671.675 32.77847 -196.21065 -6.63030 0.0003041660 -19.58334 15.016 0.000587 890.069 274.376 0.00190730576 0.00636300760 0.0000719795 0.0000879182 6768886.126 5699171.127 6091354.618 35.08748 -210.22689 -6.96572 0.0003038977 -21.80851 16.013 0.000626 889.979 274.479 0.00188937373 0.00638965367 0.0000713207 0.0000882907 6766501.107 5701030.983 6082544.875 37.39052 -224.23934 -7.28287 0.0003036114 -24.14095 17.010 0.000665 889.903 274.587 0.00187134905 0.00641588970 0.0000706555 0.0000886517 6764457.882 5703363.908 6074243.346 39.68704 -238.24590 -7.58172 0.0003033072 -26.58000 18.006 0.000704 889.838 274.699 0.00185323454 0.00644171192 0.0000699842 0.0000890010 6762752.764 5706169.323 6066450.999 41.97648 -252.24442 -7.86225 0.0003029852 -29.12503 19.003 0.000743 889.787 274.815 0.00183503305 0.00646711643 0.0000693069 0.0000893387 6761382.069 5709446.672 6059168.867 44.25826 -266.23270 -8.12440 0.0003026455 -31.77535 20.000 0.000782 889.747 274.936 0.00181674750 0.00649209924 0.0000686238 0.0000896644 6760342.111 5713195.410 6052398.061 46.53180 -280.20853 -8.36815 0.0003022882 -34.53030 21.023 0.000822 889.720 275.065 0.00179790883 0.00651728028 0.0000679174 0.0000899862 6759615.200 5717529.383 6045986.047 48.85446 -294.52742 -8.59899 0.0003019036 -37.46385 22.019 0.000861 889.705 275.196 0.00177946201 0.00654139616 0.0000672232 0.0000902877 6759233.931 5722231.346 6040254.724 51.10949 -308.47107 -8.80531 0.0003015109 -40.42862 23.016 0.000900 889.703 275.331 0.00176094011 0.00656507754 0.0000665239 0.0000905771 6759172.297 5727403.075 6035038.575 53.35448 -322.39532 -8.99309 0.0003011011 -43.49590 24.013 0.000939 889.712 275.470 0.00174234621 0.00658831992 0.0000658197 0.0000908543 6759426.657 5733044.015 6030339.054 55.58881 -336.29779 -9.16228 0.0003006740 -46.66498 25.010 0.000978 889.733 275.614 0.00172368339 0.00661111865 0.0000651108 0.0000911192 6759993.397 5739153.590 6026157.712 57.81186 -350.17604 -9.31281 0.0003002300 -49.93513 26.007 0.001017 889.766 275.762 0.00170495482 0.00663346896 0.0000643973 0.0000913717 6760868.929 5745731.192 6022496.207 60.02299 -364.02760 -9.44462 0.0002997691 -53.30562 27.004 0.001056 889.810 275.915 0.00168616367 0.00665536590 0.0000636796 0.0000916118 6762049.706 5752776.173 6019356.308 62.22157 -377.84994 -9.55766 0.0002992914 -56.77569 28.000 0.001095 889.865 276.072 0.00166731320 0.00667680435 0.0000629578 0.0000918394 6763532.225 5760287.834 6016739.901 64.40694 -391.64050 -9.65185 0.0002987972 -60.34459 29.023 0.001135 889.934 276.238 0.00164792122 0.00669831070 0.0000622135 0.0000920597 6765362.593 5768476.085 6014602.318 66.63394 -405.74887 -9.72880 0.0002982732 -64.10684 30.020 0.001174 890.011 276.404 0.00162896074 0.00671880403 0.0000614842 0.0000922616 6767445.837 5776930.656 6013052.633 68.79055 -419.46690 -9.78459 0.0002977458 -67.87355 31.017 0.001213 890.100 276.575 0.00160995109 0.00673882228 0.0000607514 0.0000924509 6769820.604 5785849.357 6012032.953 70.93192 -433.14500 -9.82130 0.0002972023 -71.73671 32.013 0.001252 890.200 276.750 0.00159089572 0.00675835959 0.0000600155 0.0000926274 6772483.680 5795231.154 6011545.726 73.05739 -446.78035 -9.83884 0.0002966428 -75.69554 33.010 0.001291 890.310 276.929 0.00157179815 0.00677740984 0.0000592766 0.0000927910 6775431.953 5805074.896 6011593.559 75.16624 -460.37008 -9.83711 0.0002960676 -79.74921 34.007 0.001330 890.431 277.112 0.00155266198 0.00679596670 0.0000585349 0.0000929418 6778662.434 5815379.291 6012179.236 77.25778 -473.91124 -9.81603 0.0002954767 -83.89691 35.004 0.001369 890.562 277.300 0.00153349085 0.00681402358 0.0000577908 0.0000930797 6782172.266 5826142.894 6013305.727 79.33128 -487.40081 -9.77548 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7535116.330 156.89546 571.54805 302.14131 0.0002879904 -97.55052 316.011 0.012363 921.673 276.603 0.00271090956 0.00416907893 0.0000937332 0.0000510072 7650330.470 6488553.080 7496948.121 158.87371 560.66081 300.76726 0.0002887404 -92.67701 317.007 0.012402 920.672 276.420 0.00270295577 0.00421434584 0.0000937133 0.0000517637 7621216.582 6458851.574 7459225.227 160.86303 549.66378 299.40923 0.0002894770 -87.92806 318.004 0.012441 919.687 276.242 0.00269476183 0.00425940912 0.0000936802 0.0000525198 7592667.219 6429797.410 7421950.995 162.86346 538.55922 298.06736 0.0002902000 -83.30383 319.001 0.012480 918.719 276.070 0.00268633023 0.00430426313 0.0000936340 0.0000532752 7564677.987 6401384.474 7385128.590 164.87501 527.34935 296.74176 0.0002909092 -78.80448 320.023 0.012520 917.743 275.899 0.00267743818 0.00435004413 0.0000935729 0.0000540490 7536548.379 6372902.834 7347834.518 166.94970 515.74497 295.39917 0.0002916219 -74.31961 321.020 0.012559 916.809 275.738 0.00266853284 0.00439445766 0.0000935001 0.0000548023 7509680.470 6345770.596 7311936.378 168.98380 504.32852 294.10684 0.0002923024 -70.07356 322.017 0.012598 915.892 275.582 0.00265939740 0.00443864587 0.0000934142 0.0000555542 7483359.637 6319261.877 7276498.655 171.02900 492.81336 292.83108 0.0002929684 -65.95270 323.014 0.012637 914.991 275.432 0.00265003437 0.00448260375 0.0000933152 0.0000563046 7457581.642 6293371.079 7241523.885 173.08528 481.20163 291.57199 0.0002936197 -61.95708 324.011 0.012676 914.107 275.287 0.00264044623 0.00452632645 0.0000932032 0.0000570530 7432342.281 6268092.728 7207014.460 175.15259 469.49544 290.32965 0.0002942562 -58.08673 325.008 0.012715 913.240 275.148 0.00263063546 0.00456980924 0.0000930781 0.0000577994 7407637.386 6243421.471 7172972.640 177.23087 457.69688 289.10414 0.0002948776 -54.34169 326.004 0.012754 912.389 275.014 0.00262060456 0.00461304754 0.0000929401 0.0000585436 7383462.823 6219352.077 7139400.558 179.32006 445.80801 287.89555 0.0002954837 -50.72194 327.001 0.012793 911.555 274.885 0.00261035601 0.00465603687 0.0000927892 0.0000592852 7359814.491 6195879.437 7106300.221 181.42007 433.83090 286.70393 0.0002960744 -47.22747 328.024 0.012833 910.716 274.758 0.00259962117 0.00469986531 0.0000926210 0.0000600429 7336102.175 6172419.608 7072843.186 183.58507 421.45713 285.49948 0.0002966640 -43.77349 329.021 0.012872 909.915 274.639 0.00258893930 0.00474233712 0.0000924441 0.0000607788 7313507.368 6150140.607 7040704.120 185.70669 409.30745 284.34248 0.0002972228 -40.53265 330.017 0.012911 909.131 274.526 0.00257804725 0.00478454716 0.0000922543 0.0000615114 7291426.582 6128443.624 7009042.190 187.83882 397.07561 283.20265 0.0002977658 -37.41692 331.014 0.012950 908.363 274.417 0.00256694749 0.00482649142 0.0000920519 0.0000622406 7269855.845 6107324.025 6977858.965 189.98130 384.76357 282.08005 0.0002982925 -34.42620 332.011 0.012989 907.612 274.314 0.00255564246 0.00486816597 0.0000918368 0.0000629662 7248791.212 6086777.293 6947155.921 192.13402 372.37330 280.97474 0.0002988030 -31.56040 333.008 0.013028 906.877 274.216 0.00254413463 0.00490956699 0.0000916091 0.0000636880 7228228.768 6066799.031 6916934.439 194.29679 359.90674 279.88677 0.0002992971 -28.81937 334.005 0.013067 906.159 274.122 0.00253242643 0.00495069077 0.0000913689 0.0000644057 7208164.628 6047384.952 6887195.814 196.46947 347.36580 278.81618 0.0002997745 -26.20299 335.002 0.013106 905.456 274.033 0.00252052032 0.00499153365 0.0000911162 0.0000651190 7188594.932 6028530.887 6857941.260 198.65187 334.75242 277.76301 0.0003002352 -23.71109 336.024 0.013146 904.753 273.948 0.00250810588 0.00503312827 0.0000908442 0.0000658460 7169033.055 6009770.875 6828440.624 200.90013 321.74233 276.70099 0.0003006902 -21.28444 337.021 0.013185 904.084 273.869 0.00249580632 0.00507339133 0.0000905666 0.0000665501 7150453.204 5992038.890 6800170.019 203.10164 308.98797 275.68325 0.0003011166 -19.04417 338.018 0.013224 903.431 273.795 0.00248331621 0.00511336297 0.0000902767 0.0000672492 7132356.276 5974854.996 6772386.693 205.31226 296.16686 274.68305 0.0003015259 -16.92782 339.015 0.013263 902.794 273.726 0.00247063798 0.00515303983 0.0000899747 0.0000679431 7114738.511 5958215.478 6745091.568 207.53177 283.28084 273.70042 0.0003019179 -14.93518 340.011 0.013302 902.173 273.662 0.00245777404 0.00519241864 0.0000896607 0.0000686317 7097596.173 5942116.734 6718285.504 209.75995 270.33176 272.73540 0.0003022925 -13.06601 341.008 0.013341 901.568 273.603 0.00244472681 0.00523149620 0.0000893348 0.0000693148 7080925.546 5926555.270 6691969.302 211.99654 257.32147 271.78802 0.0003026496 -11.32007 342.005 0.013380 900.979 273.548 0.00243149872 0.00527026935 0.0000889970 0.0000699920 7064722.936 5911527.700 6666143.710 214.24129 244.25179 270.85830 0.0003029891 -9.69710 343.002 0.013419 900.406 273.498 0.00241809217 0.00530873498 0.0000886475 0.0000706633 7048984.666 5897030.750 6640809.424 216.49394 231.12453 269.94627 0.0003033108 -8.19684 344.024 0.013459 899.835 273.452 0.00240415902 0.00534786427 0.0000882770 0.0000713454 7033321.371 5882709.967 6615336.586 218.81226 217.60276 269.02924 0.0003036224 -6.78528 345.021 0.013498 899.294 273.412 0.00239039837 0.00538569767 0.0000879041 0.0000720039 7018512.496 5869278.263 6590999.455 221.08006 204.36441 268.15311 0.0003039080 -5.53268 346.018 0.013537 898.769 273.376 0.00237646657 0.00542321446 0.0000875197 0.0000726559 7004156.945 5856367.915 6567155.466 223.35489 191.07394 267.29472 0.0003041756 -4.40189 347.015 0.013576 898.260 273.345 0.00236236601 0.00546041168 0.0000871241 0.0000733010 6990251.107 5843976.073 6543805.145 225.63645 177.73313 266.45411 0.0003044252 -3.39258 348.012 0.013615 897.766 273.319 0.00234809911 0.00549728646 0.0000867173 0.0000739392 6976791.384 5832099.989 6520948.988 227.92443 164.34377 265.63129 0.0003046566 -2.50442 349.008 0.013654 897.288 273.297 0.00233366827 0.00553383592 0.0000862995 0.0000745703 6963774.192 5820737.017 6498587.459 230.21850 150.90764 264.82628 0.0003048698 -1.73705 350.005 0.013693 896.826 273.280 0.00231907591 0.00557005722 0.0000858708 0.0000751939 6951195.954 5809884.609 6476720.996 232.51832 137.42651 264.03908 0.0003050647 -1.09013 351.002 0.013732 896.379 273.268 0.00230432443 0.00560594754 0.0000854313 0.0000758100 6939053.106 5799540.320 6455350.012 234.82357 123.90217 263.26973 0.0003052413 -0.56328 352.025 0.013772 895.936 273.261 0.00228903194 0.00564241136 0.0000849694 0.0000764339 6927047.455 5789456.161 6433946.166 237.19318 109.98802 262.49919 0.0003054033 -0.14725 353.021 0.013811 895.520 273.258 0.00227396555 0.00567762266 0.0000845084 0.0000770341 6915775.654 5780134.037 6413580.035 239.50830 96.38157 261.76601 0.0003055425 0.13756 354.018 0.013850 895.119 273.260 0.00225874735 0.00571249453 0.0000840371 0.0000776262 6904928.498 5771313.216 6393710.526 241.82775 82.73728 261.05071 0.0003056633 0.30348 355.015 0.013889 894.733 273.266 0.00224337977 0.00574702420 0.0000835556 0.0000782101 6894502.444 5762991.632 6374337.989 244.15115 69.05690 260.35329 0.0003057656 0.35094 356.012 0.013928 894.362 273.277 0.00222786525 0.00578120891 0.0000830639 0.0000787854 6884493.952 5755167.316 6355462.769 246.47810 55.34224 259.67379 0.0003058493 0.28036 357.009 0.013967 894.007 273.293 0.00221220621 0.00581504588 0.0000825623 0.0000793521 6874899.486 5747838.383 6337085.203 248.80821 41.59506 259.01219 0.0003059145 0.09218 358.006 0.014006 893.666 273.313 0.00219640511 0.00584853233 0.0000820510 0.0000799101 6865715.506 5741003.039 6319205.629 251.14107 27.81716 258.36853 0.0003059610 -0.21316 359.002 0.014045 893.340 273.338 0.00218046440 0.00588166548 0.0000815300 0.0000804590 6856938.474 5734659.575 6301824.385 253.47628 14.01033 257.74280 0.0003059890 -0.63519 360.025 0.014085 893.021 273.368 0.00216397249 0.00591527826 0.0000809858 0.0000810125 6848355.413 5728662.718 6284515.486 255.87335 -0.17869 257.11968 0.0003059983 -1.18877 Engine speed (Hz) = 71.0000000000 Output power (W) = -85.4964937197 Heat into heater (W) = 18167.0080425441 Heat to regenerator (W) = -12.6868049171 Heat removal from cooler (W) = 18255.4975836279 Approximate Pumping loss (W) = -20225.5348562496 Thermal efficiency (%) = -0.4706140577 The average engine pressure (Pa) = 8534771.5834279787 The exp space work per cycle (J) = 255.7485277208 The comp space work per cycle (J) = -256.9527036887 The net work per cycle (J) = -1.2041759679 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -1030.8429363914 The expansion work for Vmin-to-Vmax (J) = 1029.6387604236 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) = 0.0003059983 The minimum engine volume (m^3) = 0.0001829617 Compression ratio: (max. engine volume)/(min. engine volume) = 1.6724717320 The heater volume (m^3) = 0.0000360000 The regenerator void volume (m^3) = 0.0000720000 The cooler volume (m^3) = 0.0000360000 The mass of working gas in the engine (kg) = 0.0142954990 Assuming an ambient temp. of roughly 20 deg C, initially pressurize the engine to a gauge pressure (psi) of 555.3825237675 Engine speed(Hz) Power(W) Thermal efficiency(%) Torque(N.m) Average engine pressure(Pa) 1.000 249.503 65.712 39.710 8435080.327 2.000 498.249 65.659 39.649 8435207.695 3.000 745.972 65.577 39.575 8435348.618 4.000 992.277 65.470 39.481 8435596.394 5.000 1236.787 65.341 39.368 8435848.992 6.000 1479.146 65.189 39.236 8436191.286 7.000 1719.011 65.015 39.084 8436552.387 8.000 1956.054 64.819 38.914 8436983.966 9.000 2189.956 64.602 38.727 8437449.050 10.000 2420.404 64.363 38.522 8437969.831 11.000 2647.094 64.105 38.300 8438521.159 12.000 2869.728 63.826 38.061 8439102.518 13.000 3088.012 63.526 37.806 8439761.237 14.000 3301.660 63.207 37.534 8440399.663 15.000 3510.383 62.864 37.246 8441199.002 16.000 3713.905 62.501 36.943 8442025.515 17.000 3911.959 62.125 36.624 8442672.675 18.000 4104.259 61.724 36.290 8443503.488 19.000 4290.541 61.303 35.940 8444372.020 20.000 4470.535 60.859 35.575 8445350.509 21.000 4643.986 60.396 35.196 8446293.140 22.000 4810.637 59.914 34.802 8447211.842 23.000 4970.216 59.408 34.393 8448269.846 24.000 5122.471 58.880 33.969 8449412.310 25.000 5267.171 58.334 33.532 8450456.615 26.000 5404.059 57.768 33.080 8451499.837 27.000 5532.858 57.174 32.614 8452741.858 28.000 5653.365 56.562 32.134 8453896.965 29.000 5765.330 55.929 31.641 8455043.832 30.000 5868.472 55.267 31.133 8456382.756 31.000 5962.588 54.584 30.612 8457731.258 32.000 6047.449 53.877 30.078 8459076.720 33.000 6122.817 53.148 29.530 8460437.203 34.000 6188.505 52.397 28.969 8461684.260 35.000 6244.100 51.609 28.394 8463397.007 36.000 6289.713 50.812 27.807 8464568.965 37.000 6324.755 49.976 27.206 8466230.540 38.000 6349.312 49.123 26.593 8467582.143 39.000 6362.877 48.233 25.966 8469319.846 40.000 6365.460 47.319 25.327 8470918.385 41.000 6356.674 46.372 24.676 8472731.027 42.000 6336.687 45.410 24.012 8474060.620 43.000 6304.730 44.404 23.336 8475929.410 44.000 6261.065 43.375 22.647 8477522.075 45.000 6205.032 42.304 21.946 8479556.176 46.000 6137.076 41.215 21.234 8481079.916 47.000 6056.562 40.090 20.509 8482749.942 48.000 5963.202 38.924 19.772 8484658.387 49.000 5856.981 37.724 19.024 8486571.505 50.000 5737.692 36.488 18.264 8488513.735 51.000 5605.148 35.215 17.492 8490484.772 52.000 5458.580 33.904 16.707 8492533.780 53.000 5299.091 32.555 15.913 8494462.088 54.000 5125.605 31.159 15.107 8496603.650 55.000 4938.430 29.727 14.290 8498537.896 56.000 4737.154 28.252 13.463 8500487.031 57.000 4521.316 26.726 12.624 8502674.073 58.000 4291.404 25.159 11.776 8504602.474 59.000 4046.508 23.538 10.916 8506824.294 60.000 3786.672 21.864 10.044 8509172.162 61.000 3512.642 20.147 9.165 8511073.417 62.000 3222.818 18.367 8.273 8513448.322 63.000 2918.012 16.534 7.372 8515699.743 64.000 2597.839 14.642 6.460 8517976.050 65.000 2261.863 12.686 5.538 8520427.397 66.000 1910.441 10.668 4.607 8522791.243 67.000 1544.072 8.591 3.668 8524779.085 68.000 1160.634 6.435 2.716 8527354.148 69.000 761.462 4.210 1.756 8529803.017 70.000 347.250 1.916 0.790 8531798.466 71.000 -85.496 -0.471 -0.192 8534771.583