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