Swept volume in expansion space (cm^3) 950.000000000 Swept volume in compression space (cm^3) 2000.000000000 Minimum volume in expansion space (cm^3) 200.000000000 Minimum volume in compression space (cm^3) 780.000000000 Phase angle (degrees) 90.000000000 Regenerator void volume (cm^3) 1600.000000000 Flow cross-sectional area of each heater tube (cm^2) 0.400000000 Flow cross-sectional area of each cooler tube (cm^2) 0.400000000 Wetted perimeter for each heater tube (cm) 2.600000000 Wetted perimeter for each cooler tube (cm) 2.600000000 Flow length of each heater tube (cm) 50.000000000 Flow length of each cooler tube (cm) 50.000000000 Number of tubes in heater 40 Number of tubes in cooler 40 Heater temperature (K) 553.000000000 Cooler temperature (K) 323.000000000 Average pressure (Pa) 3000000.000000000 Gas constant (J/(kg.K)) 296.000000000 Cp of working gas (J/(kg.K)) 1038.000000000 Cv of working gas (J/(kg.K)) 742.000000000 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 484.791 305.570 0.01436848972 0.06913017148 0.0008978016 0.0027232778 2296557.125 2296030.815 2296272.561 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.000 0.002778 484.724 305.567 0.01424321865 0.06928421604 0.0008902819 0.0027306289 2295446.729 2294929.745 2295161.267 9.76276 -30.95266 -0.88904 0.0068209108 -0.39076 2.000 0.005556 484.667 305.568 0.01411773863 0.06943455340 0.0008827023 0.0027377025 2294487.500 2293979.779 2294201.224 19.42743 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2291449.084 2291613.370 75.20853 -244.75214 -3.72735 0.0068103045 -24.72592 9.000 0.025000 484.517 305.712 0.01323534396 0.07038144687 0.0008281731 0.0027792761 2291999.775 2291554.791 2291710.141 84.11130 -274.81931 -3.64994 0.0068074493 -31.27194 10.000 0.027778 484.532 305.751 0.01310893122 0.07050144964 0.0008201998 0.0027840602 2292247.485 2291811.118 2291957.708 92.89850 -304.76619 -3.45188 0.0068042600 -38.58406 11.000 0.030556 484.556 305.795 0.01298249410 0.07061757351 0.0008121879 0.0027885505 2292645.863 2292218.014 2292356.028 101.56427 -334.57706 -3.13323 0.0068007385 -46.65851 12.000 0.033334 484.589 305.843 0.01285605315 0.07072979873 0.0008041401 0.0027927458 2293194.879 2292775.444 2292905.070 110.10599 -364.24707 -2.69399 0.0067968859 -55.49360 13.000 0.036112 484.631 305.896 0.01272962892 0.07083810540 0.0007960587 0.0027966447 2293894.506 2293483.377 2293604.809 118.52103 -393.77131 -2.13420 0.0067927034 -65.08761 14.000 0.038889 484.682 305.954 0.01260328751 0.07094243657 0.0007879492 0.0028002448 2294744.392 2294341.452 2294454.892 126.80379 -423.13434 -1.45414 0.0067881940 -75.43484 15.000 0.041667 484.742 306.016 0.01247695857 0.07104284715 0.0007798081 0.0028035476 2295745.134 2295350.267 2295455.915 134.95761 -452.35241 -0.65332 0.0067833557 -86.54084 16.000 0.044445 484.812 306.084 0.01235070830 0.07113927842 0.0007716409 0.0028065508 2296896.441 2296509.524 2296607.589 142.97685 -481.40996 0.26802 0.0067781917 -98.40001 17.000 0.047223 484.890 306.155 0.01222455747 0.07123170976 0.0007634500 0.0028092535 2298198.307 2297819.211 2297909.907 150.85885 -510.30205 1.30988 0.0067727034 -111.01027 18.000 0.050000 484.977 306.232 0.01209857226 0.07132008929 0.0007552409 0.0028116539 2299650.182 2299278.769 2299362.320 158.59824 -539.01341 2.47181 0.0067668948 -124.36452 19.000 0.052778 485.074 306.312 0.01197268282 0.07140445968 0.0007470102 0.0028137531 2301253.113 2300889.245 2300965.875 166.19794 -567.55972 3.75465 0.0067607633 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2298683.408 1056.75209 61.47414 714.34406 0.0068204052 366.67149 359.000 0.997223 484.871 305.504 0.01449170784 0.06898113883 0.0009052565 0.0027156545 2297553.095 2297017.518 2297269.574 1066.70170 30.35503 713.21299 0.0068209109 367.82983 360.000 1.000000 484.795 305.496 0.01436672657 0.06913879596 0.0008978015 0.0027232779 2296292.064 2295765.867 2296007.562 1076.55479 -0.67023 712.20338 0.0068210794 368.21312 Engine speed (Hz) = 1.0000000000 Output power (W) = 368.2131189315 Heat into heater (W) = 1076.5547871701 Heat to regenerator (W) = -0.6702316012 Heat removal from cooler (W) = 712.2033799161 Approximate Pumping loss (W) = -3.6715249616 Thermal efficiency (%) = 34.2029150137 The average engine pressure (Pa) = 2975181.3733687056 The exp space work per cycle (J) = 1075.9222339507 The comp space work per cycle (J) = -707.7091150192 The net work per cycle (J) = 368.2131189315 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6349.0992295018 The expansion work for Vmin-to-Vmax (J) = 6717.3123484333 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 484.894 305.613 0.01437245116 0.06911521400 0.0008977962 0.0027232832 2297689.092 2295852.429 2296697.252 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.000 0.001389 484.826 305.610 0.01424720503 0.06926945813 0.0008902819 0.0027306289 2296572.257 2294768.121 2295577.287 9.75464 -30.95486 -0.89597 0.0068209108 -0.40021 2.000 0.002778 484.768 305.613 0.01412165949 0.06942010492 0.0008827023 0.0027377025 2295605.635 2293833.831 2294607.823 19.41823 -61.83963 -1.67154 0.0068204049 -1.57383 3.000 0.004167 484.719 305.620 0.01399592533 0.06956702302 0.0008750653 0.0027444966 2294790.016 2293050.312 2293789.654 28.98115 -92.62709 -2.32608 0.0068195619 -3.51994 4.000 0.005556 484.679 305.631 0.01387002314 0.06971019348 0.0008673732 0.0027510090 2294125.337 2292417.489 2293122.716 38.44080 -123.31240 -2.85963 0.0068183821 -6.23753 5.000 0.006945 484.648 305.648 0.01374397351 0.06984959724 0.0008596282 0.0027572377 2293611.537 2291935.288 2292606.951 47.79462 -153.89070 -3.27224 0.0068168659 -9.72554 6.000 0.008334 484.626 305.669 0.01361779699 0.06998521513 0.0008518327 0.0027631809 2293248.564 2291603.642 2292242.304 57.04001 -184.35712 -3.56396 0.0068150136 -13.98281 7.001 0.009723 484.613 305.694 0.01349151413 0.07011702788 0.0008439892 0.0027688368 2293036.366 2291422.488 2292028.728 66.17436 -214.70681 -3.73482 0.0068128260 -19.00808 8.001 0.011112 484.610 305.725 0.01336514547 0.07024501609 0.0008360999 0.0027742036 2292974.901 2291391.767 2291966.178 75.19506 -244.93491 -3.78486 0.0068103035 -24.80004 9.001 0.012501 484.615 305.760 0.01323871153 0.07036916021 0.0008281674 0.0027792797 2293064.128 2291511.424 2292054.615 84.09949 -275.03655 -3.71411 0.0068074471 -31.35728 10.000 0.013889 484.630 305.799 0.01311232394 0.07048935538 0.0008201998 0.0027840602 2293303.788 2291781.164 2292293.780 92.87875 -304.98533 -3.52278 0.0068042600 -38.67277 11.000 0.015278 484.653 305.844 0.01298582114 0.07060575495 0.0008121879 0.0027885505 2293694.195 2292201.329 2292683.988 101.54287 -334.81952 -3.21061 0.0068007385 -46.75547 12.000 0.016667 484.686 305.893 0.01285931475 0.07071825097 0.0008041401 0.0027927458 2294235.210 2292771.741 2293225.099 110.08283 -364.51261 -2.77772 0.0067968859 -55.59874 13.000 0.018056 484.727 305.946 0.01273282539 0.07082682326 0.0007960587 0.0027966447 2294926.812 2293492.364 2293917.095 118.49600 -394.05968 -2.22413 0.0067927034 -65.20084 14.000 0.019445 484.778 306.004 0.01260637372 0.07093145152 0.0007879463 0.0028002461 2295768.989 2294363.168 2294759.962 126.77974 -423.45583 -1.54983 0.0067881923 -75.55995 15.000 0.020834 484.838 306.067 0.01247998042 0.07103211524 0.0007798052 0.0028035488 2296761.733 2295384.127 2295753.693 134.93141 -452.69611 -0.75485 0.0067833539 -86.67415 16.001 0.022223 484.907 306.135 0.01235366627 0.07112879375 0.0007716379 0.0028065519 2297905.040 2296555.219 2296898.286 142.94836 -481.77558 0.16083 0.0067781898 -98.54147 17.001 0.023612 484.984 306.207 0.01222745206 0.07122146618 0.0007634470 0.0028092544 2299198.912 2297876.427 2298193.742 150.82794 -510.68927 1.19719 0.0067727014 -111.15983 18.001 0.025001 485.071 306.284 0.01210135867 0.07131011147 0.0007552350 0.0028116555 2300643.356 2299347.736 2299640.067 158.56751 -539.43217 2.35425 0.0067668905 -124.52705 19.000 0.026389 485.167 306.365 0.01197549767 0.07139464894 0.0007470102 0.0028137531 2302237.180 2300967.916 2301236.071 166.15902 -567.97879 3.63105 0.0067607633 -138.63046 20.000 0.027778 485.272 306.451 0.01184970873 0.07147517897 0.0007387634 0.0028155496 2303982.696 2302739.294 2302984.067 173.61075 -596.36522 5.02945 0.0067543130 -153.48804 21.000 0.029167 485.386 306.541 0.01172410370 0.07155161756 0.0007305029 0.0028170428 2305878.830 2304660.753 2304882.981 180.91455 -624.56577 6.54858 0.0067475457 -169.08748 22.000 0.030556 485.509 306.637 0.01159870378 0.07162394286 0.0007222313 0.0028182322 2307925.607 2306732.295 2306932.837 188.06779 -652.57534 8.18847 0.0067404635 -185.42625 23.000 0.031945 485.640 306.736 0.01147353029 0.07169213283 0.0007139511 0.0028191175 2310123.053 2308953.919 2309133.663 195.06783 -680.38884 9.94913 0.0067330686 -202.50174 24.000 0.033334 485.781 306.841 0.01134860465 0.07175616523 0.0007056648 0.0028196984 2312471.201 2311325.630 2311485.491 201.91206 -708.00111 11.83059 0.0067253632 -220.31125 25.001 0.034723 485.931 306.949 0.01122394840 0.07181601763 0.0006973750 0.0028199747 2314970.085 2313847.435 2313988.355 208.59787 -735.40698 13.83288 0.0067173497 -238.85198 26.001 0.036112 486.089 307.063 0.01109958320 0.07187166736 0.0006890841 0.0028199464 2317619.743 2316519.339 2316642.294 215.12263 -762.60124 15.95603 0.0067090305 -258.12103 27.000 0.037500 486.257 307.181 0.01097562003 0.07192305608 0.0006808007 0.0028196138 2320418.146 2319339.266 2319445.275 221.47925 -789.55931 18.19842 0.0067004145 -278.10077 28.000 0.038889 486.433 307.303 0.01085190217 0.07197023481 0.0006725154 0.0028189765 2323369.370 2322311.286 2322401.381 227.67428 -816.31476 20.56330 0.0066914919 -298.81690 29.000 0.040278 486.618 307.430 0.01072854113 0.07201314173 0.0006642366 0.0028180349 2326471.499 2325433.428 2325508.692 233.70053 -842.84278 23.04915 0.0066822715 -320.25209 30.000 0.041667 486.812 307.562 0.01060555911 0.07205175337 0.0006559669 0.0028167892 2329724.581 2328705.699 2328767.257 239.55543 -869.13802 25.65600 0.0066727561 -342.40305 31.000 0.043056 487.015 307.698 0.01048297848 0.07208604607 0.0006477087 0.0028152399 2333128.667 2332128.102 2332177.127 245.23643 -895.19509 28.38390 0.0066629486 -365.26640 32.000 0.044445 487.226 307.839 0.01036082179 0.07211599592 0.0006394647 0.0028133873 2336683.810 2335700.636 2335738.353 250.74100 -921.00856 31.23288 0.0066528520 -388.83864 33.000 0.045834 487.446 307.984 0.01023911175 0.07214157880 0.0006312372 0.0028112321 2340390.065 2339423.298 2339450.991 256.06663 -946.57296 34.20299 0.0066424693 -413.11616 34.001 0.047223 487.675 308.134 0.01011787123 0.07216277032 0.0006230289 0.0028087749 2344247.489 2343296.074 2343315.098 261.21082 -971.88277 37.29428 0.0066318038 -438.09526 35.001 0.048612 487.913 308.288 0.00999712332 0.07217954582 0.0006148423 0.0028060164 2348256.145 2347318.942 2347330.736 266.17108 -996.93242 40.50679 0.0066208587 -463.77210 36.000 0.050000 488.159 308.446 0.00987697767 0.07219187292 0.0006066856 0.0028029599 2352413.053 2351488.805 2351494.920 270.94157 -1021.69855 43.83813 0.0066096455 -490.12353 37.000 0.051389 488.414 308.610 0.00975728467 0.07219974370 0.0005985496 0.0027996018 2356724.287 2355811.604 2355813.735 275.52670 -1046.21114 47.29319 0.0065981514 -517.18347 38.000 0.052778 488.678 308.777 0.00963815492 0.07220312043 0.0005904427 0.0027959453 2361187.036 2360284.249 2360284.365 279.92049 -1070.44644 50.86969 0.0065863880 -544.92902 39.000 0.054167 488.950 308.950 0.00951961411 0.07220195780 0.0005823673 0.0027919914 2365802.006 2364908.458 2364907.570 284.11986 -1094.39760 54.54918 0.0065743587 -573.35590 40.000 0.055556 489.231 309.128 0.00940169009 0.07219619192 0.0005743260 0.0027877414 2370570.627 2369688.826 2369684.739 288.12112 -1118.05667 58.28742 0.0065620674 -602.45973 41.000 0.056945 489.520 309.311 0.00928440726 0.07218579426 0.0005663211 0.0027831966 2375493.086 2374625.290 2374616.034 291.92183 -1141.41767 62.08380 0.0065495177 -632.23604 42.000 0.058334 489.818 309.500 0.00916778964 0.07217074104 0.0005583551 0.0027783584 2380569.375 2379717.689 2379701.445 295.51975 -1164.47487 65.93978 0.0065367135 -662.68023 43.001 0.059723 490.125 309.695 0.00905186143 0.07215100936 0.0005504304 0.0027732281 2385799.448 2384965.887 2384940.922 298.91271 -1187.22254 69.85692 0.0065236586 -693.78758 44.001 0.061112 490.440 309.895 0.00893664700 0.07212657677 0.0005425495 0.0027678075 2391183.233 2390369.752 2390334.390 302.09861 -1209.65494 73.83686 0.0065103570 -725.55323 45.000 0.062500 490.763 310.100 0.00882225307 0.07209744387 0.0005347203 0.0027621023 2396716.593 2395925.091 2395877.704 305.07330 -1231.75048 77.87837 0.0064968226 -757.94864 46.000 0.063889 491.095 310.310 0.00870853959 0.07206354686 0.0005269341 0.0027561061 2402407.391 2401639.762 2401578.739 307.83907 -1253.53520 81.98908 0.0064830401 -791.01538 47.000 0.065278 491.436 310.527 0.00859561428 0.07202488346 0.0005191987 0.0027498247 2408251.562 2407509.664 2407433.420 310.39173 -1274.98721 86.16797 0.0064690233 -824.72511 48.000 0.066667 491.784 310.748 0.00848350242 0.07198143235 0.0005115165 0.0027432600 2414248.958 2413534.624 2413441.597 312.72938 -1296.10062 90.41699 0.0064547765 -859.07243 49.000 0.068056 492.141 310.975 0.00837222952 0.07193317245 0.0005038900 0.0027364140 2420399.409 2419714.457 2419603.096 314.85015 -1316.86949 94.73818 0.0064403040 -894.05182 50.000 0.069445 492.507 311.207 0.00826182136 0.07188008300 0.0004963214 0.0027292889 2426702.724 2426048.958 2425917.726 316.75226 -1337.28786 99.13367 0.0064256102 -929.65763 51.000 0.070834 492.880 311.444 0.00815230395 0.07182214348 0.0004888130 0.0027218867 2433158.695 2432537.906 2432385.272 318.43396 -1357.34972 103.60564 0.0064106996 -965.88403 52.001 0.072223 493.261 311.686 0.00804370358 0.07175933372 0.0004813671 0.0027142097 2439767.088 2439181.057 2439005.500 319.89358 -1377.04900 108.15636 0.0063955768 -1002.72508 53.001 0.073612 493.651 311.933 0.00793604679 0.07169163388 0.0004739860 0.0027062604 2446527.649 2445978.145 2445778.150 321.12950 -1396.37963 112.78818 0.0063802463 -1040.17464 54.000 0.075000 494.048 312.186 0.00782943685 0.07161907852 0.0004666771 0.0026980470 2453435.068 2452923.822 2452697.899 322.13952 -1415.32195 117.50010 0.0063647241 -1078.19885 55.000 0.076389 494.453 312.443 0.00772374721 0.07154154400 0.0004594323 0.0026895603 2460498.993 2460027.784 2459774.410 322.92362 -1433.89708 122.30140 0.0063489926 -1116.84607 56.000 0.077778 494.866 312.706 0.00761908236 0.07145906216 0.0004522589 0.0026808087 2467714.173 2467284.743 2467002.417 323.47959 -1452.08503 127.19130 0.0063330675 -1156.08253 57.000 0.079167 495.287 312.973 0.00751546993 0.07137161478 0.0004451591 0.0026717948 2475080.249 2474694.332 2474381.557 323.80607 -1469.87955 132.17242 0.0063169539 -1195.90147 58.000 0.080556 495.715 313.246 0.00741293782 0.07127918412 0.0004381352 0.0026625214 2482596.835 2482256.153 2481911.439 323.90182 -1487.27435 137.24748 0.0063006566 -1236.29598 59.000 0.081945 496.151 313.523 0.00731151419 0.07118175296 0.0004311892 0.0026529914 2490263.513 2489969.781 2489591.638 323.76564 -1504.26309 142.41925 0.0062841805 -1277.25896 60.000 0.083334 496.595 313.805 0.00721122748 0.07107930462 0.0004243232 0.0026432076 2498079.835 2497834.756 2497421.702 323.39645 -1520.83943 147.69059 0.0062675308 -1318.78314 61.001 0.084723 497.046 314.092 0.00711210640 0.07097182304 0.0004175395 0.0026331729 2506045.320 2505850.587 2505401.140 322.79321 -1536.99695 153.06438 0.0062507124 -1360.86108 62.001 0.086112 497.504 314.384 0.00701417994 0.07085929276 0.0004108399 0.0026228906 2514159.451 2514016.745 2513529.432 321.95501 -1552.72924 158.54360 0.0062337305 -1403.48514 63.000 0.087500 497.970 314.680 0.00691754654 0.07074178547 0.0004042314 0.0026123712 2522415.675 2522326.624 2521800.005 320.88187 -1568.01897 164.12720 0.0062166026 -1446.61625 64.000 0.088889 498.443 314.980 0.00682209647 0.07061911781 0.0003977063 0.0026016030 2530825.300 2530791.597 2530224.181 319.57148 -1582.88170 169.82633 0.0061993094 -1490.30856 65.000 0.090278 498.923 315.286 0.00672792960 0.07049135926 0.0003912715 0.0025905967 2539381.803 2539405.087 2538795.418 318.02389 -1597.29972 175.64011 0.0061818682 -1534.52300 66.000 0.091667 499.410 315.595 0.00663507598 0.07035849731 0.0003849290 0.0025793556 2548084.515 2548166.410 2547513.039 316.23856 -1611.26651 181.57175 0.0061642846 -1579.25119 67.000 0.093056 499.903 315.910 0.00654356595 0.07022052024 0.0003786806 0.0025678832 2556932.727 2557074.837 2556376.323 314.21502 -1624.77550 187.62447 0.0061465637 -1624.48454 68.000 0.094445 500.404 316.228 0.00645343010 0.07007741726 0.0003725282 0.0025561829 2565925.683 2566129.595 2565384.509 311.95295 -1637.82010 193.80155 0.0061287111 -1670.21426 69.000 0.095834 500.912 316.551 0.00636469926 0.06992917847 0.0003664738 0.0025442583 2575062.586 2575329.864 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2328974.881 2326666.859 2328057.265 929.65313 439.89194 743.09069 0.0067881962 285.34782 347.000 0.481945 486.593 305.998 0.01597124545 0.06678855806 0.0009890923 0.0026036147 2325733.579 2323459.895 2324808.833 940.52453 408.14206 740.49195 0.0067927070 295.82163 348.000 0.483334 486.409 305.934 0.01585055067 0.06698940900 0.0009825508 0.0026143385 2322644.625 2320405.229 2321713.030 951.33230 376.41502 738.01530 0.0067968892 305.51826 349.001 0.484723 486.234 305.875 0.01572937198 0.06718679464 0.0009759213 0.0026248202 2319707.918 2317502.747 2318769.754 962.07408 344.71594 735.66068 0.0068007415 314.43740 350.001 0.486112 486.067 305.821 0.01560773111 0.06738069587 0.0009692059 0.0026350568 2316923.354 2314752.333 2315978.904 972.74750 313.04991 733.42800 0.0068042627 322.57887 351.000 0.487500 485.910 305.772 0.01548573772 0.06757095790 0.0009624117 0.0026450379 2314292.672 2312155.690 2313342.222 983.34256 281.44476 731.31866 0.0068074496 329.93751 352.000 0.488889 485.761 305.727 0.01536323750 0.06775783601 0.0009555308 0.0026547750 2311811.980 2309708.962 2310855.809 993.87212 249.85997 729.32953 0.0068103058 336.52391 353.000 0.490278 485.621 305.687 0.01524033958 0.06794117306 0.0009485702 0.0026642578 2309483.128 2307413.964 2308521.521 1004.32608 218.32334 727.46210 0.0068128279 342.33254 354.000 0.491667 485.491 305.652 0.01511706521 0.06812095030 0.0009415320 0.0026734833 2307306.015 2305270.584 2306339.258 1014.70201 186.83986 725.71629 0.0068150153 347.36357 355.000 0.493056 485.369 305.621 0.01499343559 0.06829714904 0.0009344185 0.0026824488 2305280.547 2303278.714 2304308.926 1024.99745 155.41449 724.09202 0.0068168673 351.61723 356.000 0.494445 485.257 305.596 0.01486947178 0.06846975062 0.0009272317 0.0026911516 2303406.629 2301438.248 2302430.431 1035.20992 124.05218 722.58922 0.0068183832 355.09384 357.000 0.495834 485.153 305.574 0.01474519479 0.06863873639 0.0009199738 0.0026995889 2301684.169 2299749.083 2300703.681 1045.33693 92.75785 721.20783 0.0068195627 357.79382 358.001 0.497223 485.059 305.558 0.01462062554 0.06880408769 0.0009126471 0.0027077583 2300113.080 2298211.119 2299128.591 1055.37598 61.53643 719.94775 0.0068204054 359.71767 359.001 0.498612 484.973 305.547 0.01449578487 0.06896578585 0.0009052538 0.0027156572 2298693.276 2296824.259 2297705.076 1065.32456 30.39280 718.80894 0.0068209110 360.86596 360.000 0.500000 484.897 305.540 0.01437078372 0.06912369973 0.0008978015 0.0027232779 2297425.536 2295589.245 2296433.915 1075.17306 -0.64582 717.79201 0.0068210794 361.23938 Engine speed (Hz) = 2.0000000000 Output power (W) = 722.4787347588 Heat into heater (W) = 2150.3461211341 Heat to regenerator (W) = -1.2916360230 Heat removal from cooler (W) = 1435.5840250098 Approximate Pumping loss (W) = -25.5648632029 Thermal efficiency (%) = 33.5982532141 The average engine pressure (Pa) = 2975383.7310089064 The exp space work per cycle (J) = 1074.5568663114 The comp space work per cycle (J) = -713.3174989321 The net work per cycle (J) = 361.2393673793 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6353.1940721358 The expansion work for Vmin-to-Vmax (J) = 6714.4334395152 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 485.053 305.677 0.01437848544 0.06909243256 0.0008977989 0.0027232805 2299404.756 2295581.668 2297344.063 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.000 0.000926 484.986 305.676 0.01425305144 0.06924726023 0.0008902791 0.0027306315 2298276.028 2294520.710 2296208.817 9.75938 -31.01409 -0.90820 0.0068209106 -0.41498 2.001 0.001852 484.927 305.679 0.01412740771 0.06939837425 0.0008826996 0.0027377050 2297298.224 2293610.229 2295225.099 19.42061 -61.93571 -1.69517 0.0068204046 -1.60314 3.001 0.002778 484.877 305.687 0.01400157498 0.06954575539 0.0008750626 0.0027444990 2296471.282 2292850.140 2294392.854 28.98110 -92.75995 -2.36097 0.0068195615 -3.56357 4.001 0.003704 484.836 305.699 0.01387557394 0.06968938433 0.0008673704 0.0027510113 2295795.150 2292240.362 2293712.026 38.43828 -123.48192 -2.90563 0.0068183816 -6.29529 5.001 0.004630 484.805 305.716 0.01374942525 0.06982924168 0.0008596254 0.0027572399 2295269.778 2291780.816 2293182.568 47.78954 -154.09675 -3.32920 0.0068168653 -9.79722 6.001 0.005556 484.782 305.738 0.01362314957 0.06996530792 0.0008518299 0.0027631830 2294895.120 2291471.430 2292804.436 57.03228 -184.59953 -3.63170 0.0068150129 -14.06822 7.001 0.006482 484.769 305.765 0.01349676751 0.07009756342 0.0008439863 0.0027688388 2294671.137 2291312.135 2292577.591 66.16389 -214.98539 -3.81318 0.0068128251 -19.10704 8.001 0.007408 484.764 305.796 0.01337029970 0.07022598842 0.0008360971 0.0027742055 2294597.794 2291302.866 2292502.000 75.18174 -245.24942 -3.87365 0.0068103026 -24.91239 9.001 0.008334 484.769 305.832 0.01324376677 0.07035056303 0.0008281645 0.0027792815 2294675.063 2291443.563 2292577.634 84.08322 -275.38674 -3.81314 0.0068074460 -31.48285 10.000 0.009259 484.782 305.872 0.01311732606 0.07047113895 0.0008201998 0.0027840602 2294902.593 2291733.777 2292804.145 92.85625 -305.36011 -3.63193 0.0068042600 -38.80862 11.000 0.010185 484.805 305.917 0.01299072479 0.07058795672 0.0008121879 0.0027885505 2295280.856 2292174.084 2293182.005 101.51718 -335.22942 -3.32965 0.0068007385 -46.90398 12.000 0.011111 484.837 305.967 0.01286412032 0.07070086354 0.0008041401 0.0027927458 2295809.676 2292764.204 2293711.038 110.05381 -364.95729 -2.90642 0.0067968859 -55.75977 13.000 0.012037 484.878 306.021 0.01273753333 0.07080983889 0.0007960587 0.0027966447 2296489.044 2293504.095 2294391.237 118.46350 -394.53877 -2.36226 0.0067927034 -65.37427 14.000 0.012963 484.928 306.080 0.01261098456 0.07091486206 0.0007879463 0.0028002461 2297318.959 2294393.718 2295222.602 126.74357 -423.96892 -1.69717 0.0067881923 -75.74565 15.000 0.013889 484.987 306.144 0.01248449478 0.07101591219 0.0007798052 0.0028035488 2298299.423 2295433.039 2296205.136 134.89139 -453.24277 -0.91114 0.0067833539 -86.87202 16.001 0.014815 485.055 306.212 0.01235808482 0.07111296822 0.0007716379 0.0028065519 2299430.445 2296622.028 2297338.848 142.90430 -482.35535 -0.00417 0.0067781898 -98.75141 17.001 0.015741 485.132 306.285 0.01223177556 0.07120600889 0.0007634470 0.0028092544 2300712.039 2297960.657 2298623.752 150.77963 -511.30165 1.02375 0.0067727014 -111.38173 18.001 0.016667 485.218 306.362 0.01210558795 0.07129501274 0.0007552350 0.0028116555 2302144.222 2299448.902 2300059.869 158.51474 -540.07666 2.17264 0.0067668905 -124.76083 19.001 0.017593 485.313 306.444 0.01197954301 0.07137995815 0.0007470043 0.0028137545 2303727.019 2301086.742 2301647.221 166.10696 -568.67533 3.44253 0.0067607588 -138.88648 20.001 0.018519 485.417 306.531 0.01185366183 0.07146082324 0.0007387574 0.0028155508 2305460.458 2302874.160 2303385.839 173.55363 -597.09260 4.83342 0.0067543082 -153.75633 21.001 0.019445 485.530 306.622 0.01172796561 0.07153758595 0.0007304969 0.0028170437 2307344.573 2304811.139 2305275.756 180.85212 -625.32338 6.34535 0.0067475407 -169.36796 22.001 0.020371 485.653 306.717 0.01160247562 0.07161022403 0.0007222253 0.0028182329 2309379.400 2306897.667 2307317.011 187.99976 -653.36255 7.97836 0.0067404583 -185.71887 23.000 0.021296 485.783 306.818 0.01147734838 0.07167864327 0.0007139541 0.0028191172 2311562.541 2309131.235 2309507.196 194.98646 -681.17502 9.73051 0.0067330713 -202.78760 24.000 0.022222 485.923 306.922 0.01135233481 0.07174296892 0.0007056678 0.0028196982 2313898.763 2311516.661 2311851.094 201.82467 -708.81574 11.60562 0.0067253660 -220.60836 25.000 0.023148 486.072 307.032 0.01122759191 0.07180310186 0.0006973780 0.0028199747 2316385.837 2314051.602 2314346.469 208.50414 -736.24934 13.60192 0.0067173526 -239.16029 26.000 0.024074 486.230 307.146 0.01110314141 0.07185901894 0.0006890871 0.0028199465 2319023.818 2316736.046 2316993.377 215.02224 -763.47058 15.71945 0.0067090336 -258.44053 27.000 0.025000 486.397 307.264 0.01097900515 0.07191069681 0.0006807977 0.0028196136 2321812.764 2319569.982 2319791.876 221.37636 -790.47419 17.95825 0.0067004114 -278.44607 28.000 0.025926 486.572 307.387 0.01085520512 0.07195811186 0.0006725124 0.0028189762 2324752.738 2322553.396 2322742.028 227.56389 -817.25486 20.31837 0.0066914886 -299.17384 29.001 0.026852 486.757 307.515 0.01073176344 0.07200124027 0.0006642336 0.0028180345 2327843.805 2325686.273 2325843.899 233.58225 -843.80725 22.79987 0.0066822681 -320.62065 30.001 0.027778 486.950 307.647 0.01060870240 0.07204005795 0.0006559639 0.0028167887 2331086.035 2328968.594 2329097.559 239.42884 -870.12597 25.40280 0.0066727526 -342.78323 31.001 0.028704 487.152 307.783 0.01048604443 0.07207454057 0.0006477057 0.0028152393 2334479.501 2332400.332 2332503.080 245.10112 -896.20559 28.12721 0.0066629450 -365.65817 32.001 0.029630 487.363 307.924 0.01036381214 0.07210466351 0.0006394617 0.0028133866 2338024.283 2335981.457 2336060.542 250.59650 -922.04065 30.97318 0.0066528483 -389.24200 33.001 0.030556 487.582 308.070 0.01024202831 0.07213040181 0.0006312343 0.0028112313 2341720.464 2339711.924 2339770.026 255.91247 -947.62564 33.94077 0.0066424655 -413.53110 34.001 0.031482 487.811 308.220 0.01012071590 0.07215173017 0.0006230260 0.0028087739 2345568.134 2343591.680 2343631.625 261.04647 -972.95497 37.03005 0.0066317999 -438.52177 35.001 0.032408 488.048 308.374 0.00999989810 0.07216862276 0.0006148393 0.0028060154 2349567.398 2347620.647 2347645.440 265.99600 -998.02302 40.24110 0.0066208547 -464.21019 36.001 0.033334 488.293 308.533 0.00987959829 0.07218105310 0.0006066768 0.0028029565 2353718.372 2351798.719 2351811.591 270.75853 -1022.82410 43.57402 0.0066096332 -490.59243 37.000 0.034259 488.548 308.696 0.00975996921 0.07218898733 0.0005985496 0.0027996018 2358016.483 2356120.978 2356125.486 275.32670 -1047.32606 47.02514 0.0065981514 -517.63483 38.000 0.035185 488.811 308.864 0.00964077630 0.07219241184 0.0005904427 0.0027959453 2362471.267 2360596.457 2360596.711 279.70777 -1071.57588 50.60212 0.0065863880 -545.39170 39.000 0.036111 489.082 309.036 0.00952217380 0.07219128279 0.0005823673 0.0027919914 2367078.508 2365222.798 2365221.001 283.89407 -1095.54075 54.28301 0.0065743587 -573.82990 40.000 0.037037 489.362 309.215 0.00940418519 0.07218557911 0.0005743260 0.0027877414 2371838.104 2370006.601 2369998.262 287.88337 -1119.21515 58.02275 0.0065620674 -602.94505 41.000 0.037963 489.651 309.398 0.00928683524 0.07217526941 0.0005663211 0.0027831966 2376750.316 2374947.687 2374928.752 291.67316 -1142.59293 61.82066 0.0065495177 -632.73267 42.000 0.038889 489.949 309.587 0.00917014838 0.07216032777 0.0005583551 0.0027783584 2381815.215 2380045.805 2380012.528 295.26112 -1165.66820 65.67826 0.0065367135 -663.18815 43.001 0.039815 490.254 309.782 0.00905414904 0.07214073000 0.0005504304 0.0027732281 2387032.796 2385300.771 2385249.580 298.64505 -1188.43514 69.59711 0.0065236586 -694.30677 44.001 0.040741 490.569 309.982 0.00893886181 0.07211645274 0.0005425495 0.0027678075 2392403.019 2390712.418 2390639.861 301.82280 -1210.88791 73.57884 0.0065103570 -726.08368 45.001 0.041667 490.891 310.188 0.00882431148 0.07208747319 0.0005347147 0.0027620981 2397925.811 2396280.589 2396183.293 304.79228 -1233.02069 77.62517 0.0064968128 -758.51390 46.001 0.042593 491.222 310.399 0.00871052302 0.07205376894 0.0005269285 0.0027561017 2403601.079 2402005.122 2401879.779 307.55148 -1254.82759 81.73789 0.0064830301 -791.59232 47.001 0.043519 491.562 310.616 0.00859752163 0.07201531794 0.0005191931 0.0027498200 2409428.707 2407885.850 2407729.196 310.09841 -1276.30271 85.91890 0.0064690132 -825.31370 48.001 0.044445 491.909 310.838 0.00848533273 0.07197209843 0.0005115110 0.0027432552 2415408.557 2413922.593 2413731.402 312.43115 -1297.44013 90.17013 0.0064547662 -859.67265 49.001 0.045371 492.265 311.065 0.00837398200 0.07192408899 0.0005038845 0.0027364090 2421540.473 2420115.159 2419886.235 314.54784 -1318.23386 94.49363 0.0064402935 -894.66367 50.000 0.046296 492.629 311.297 0.00826361417 0.07187132811 0.0004963241 0.0027292915 2427817.408 2426456.402 2426186.616 316.44475 -1338.65600 98.88672 0.0064256156 -930.24228 51.000 0.047222 493.001 311.535 0.00815401675 0.07181368093 0.0004888157 0.0027218894 2434252.736 2432959.807 2432645.962 318.12421 -1358.74467 103.36109 0.0064107051 -966.47962 52.000 0.048148 493.381 311.778 0.00804533595 0.07175118138 0.0004813698 0.0027142125 2440839.532 2439618.360 2439257.315 319.58239 -1378.47151 107.91432 0.0063955823 -1003.33161 53.000 0.049074 493.769 312.026 0.00793759842 0.07168380932 0.0004739886 0.0027062633 2447577.550 2446431.796 2446020.424 320.81766 -1397.83039 112.54874 0.0063802519 -1040.79213 54.000 0.050000 494.165 312.279 0.00783083110 0.07161154499 0.0004666745 0.0026980440 2454466.524 2453399.827 2452935.011 321.82846 -1416.81513 117.26678 0.0063647185 -1078.85493 55.000 0.050926 494.568 312.537 0.00772506119 0.07153436899 0.0004594297 0.0026895572 2461506.160 2460522.142 2460000.775 322.61331 -1435.41954 122.07095 0.0063489869 -1117.51359 56.001 0.051852 494.980 312.800 0.00762031613 0.07145226237 0.0004522563 0.0026808055 2468696.140 2467798.404 2467217.389 323.17078 -1453.63736 126.96381 0.0063330618 -1156.76153 57.001 0.052778 495.399 313.069 0.00751662367 0.07136520663 0.0004451566 0.0026717915 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0.06383611971 0.0010652614 0.0024437762 2381707.553 2376051.185 2380024.021 793.07175 821.59300 792.56904 0.0067090376 89.26632 335.000 0.310185 489.664 307.173 0.01738164976 0.06408063435 0.0010600334 0.0024573231 2376626.946 2371040.882 2374921.822 804.52632 789.95657 788.48728 0.0067173565 108.98314 336.000 0.311111 489.374 307.053 0.01726845685 0.06432195831 0.0010546939 0.0024706759 2371699.305 2366183.788 2369973.125 815.94404 758.27742 784.52832 0.0067253697 127.93463 337.000 0.312037 489.093 306.938 0.01715450418 0.06456006850 0.0010492445 0.0024838304 2366924.586 2361479.831 2365177.895 827.32282 726.56125 780.69214 0.0067330748 146.11924 338.000 0.312963 488.820 306.828 0.01703981558 0.06479494226 0.0010436868 0.0024967827 2362302.740 2356928.929 2360536.086 838.66052 694.81372 776.97869 0.0067404695 163.53553 339.000 0.313889 488.556 306.722 0.01692441467 0.06502655733 0.0010380226 0.0025095288 2357833.709 2352530.996 2356047.645 849.95502 663.04042 773.38794 0.0067475514 180.18218 340.001 0.314815 488.301 306.621 0.01680832490 0.06525489185 0.0010322537 0.0025220648 2353517.429 2348285.937 2351712.511 861.20413 631.24688 769.91983 0.0067543184 196.05799 341.001 0.315741 488.055 306.525 0.01669156952 0.06547992428 0.0010263816 0.0025343869 2349353.828 2344193.653 2347530.619 872.40566 599.43859 766.57432 0.0067607685 211.16184 342.001 0.316667 487.817 306.434 0.01657417161 0.06570163343 0.0010204083 0.0025464914 2345342.830 2340254.040 2343501.895 883.55739 567.62100 763.35134 0.0067668997 225.49273 343.001 0.317593 487.588 306.348 0.01645615405 0.06591999838 0.0010143356 0.0025583746 2341484.356 2336466.990 2339626.263 894.65709 535.79950 760.25083 0.0067727102 239.04978 344.001 0.318519 487.368 306.266 0.01633753958 0.06613499852 0.0010081653 0.0025700328 2337778.320 2332832.391 2335903.641 905.70250 503.97943 757.27274 0.0067781980 251.83218 345.001 0.319445 487.156 306.189 0.01621835076 0.06634661347 0.0010018992 0.0025814625 2334224.635 2329350.130 2332333.945 916.69132 472.16611 754.41698 0.0067833617 263.83925 346.001 0.320371 486.954 306.117 0.01609860999 0.06655482308 0.0009955394 0.0025926602 2330823.211 2326020.089 2328917.089 927.62126 440.36479 751.68349 0.0067881996 275.07038 347.000 0.321296 486.760 306.050 0.01597846968 0.06675938811 0.0009890947 0.0026036108 2327577.383 2322845.501 2325656.424 938.47829 408.61503 749.07496 0.0067927055 285.51422 348.000 0.322222 486.575 305.987 0.01585769217 0.06696073113 0.0009825531 0.0026143347 2324480.040 2319819.384 2322544.811 949.28354 376.85337 746.58567 0.0067968878 295.19293 349.000 0.323148 486.400 305.929 0.01573642902 0.06715860953 0.0009759237 0.0026248165 2321534.679 2316945.131 2319585.766 960.02287 345.11929 744.21844 0.0068007402 304.09450 350.000 0.324074 486.233 305.876 0.01561470206 0.06735300385 0.0009692084 0.0026350531 2318741.205 2314222.624 2316779.196 970.69391 313.41792 741.97318 0.0068042615 312.21872 351.000 0.325000 486.075 305.828 0.01549253301 0.06754389477 0.0009624092 0.0026450415 2316099.526 2311651.745 2314125.010 981.29424 281.75436 739.84983 0.0068074507 319.56546 352.000 0.325926 485.925 305.784 0.01536994345 0.06773126303 0.0009555283 0.0026547785 2313609.549 2309232.374 2311623.117 991.82146 250.13368 737.84832 0.0068103067 326.13469 353.001 0.326852 485.785 305.745 0.01524695485 0.06791508949 0.0009485677 0.0026642611 2311271.181 2306964.397 2309273.428 1002.27313 218.56091 735.96857 0.0068128288 331.92646 354.001 0.327778 485.654 305.711 0.01512358860 0.06809535507 0.0009415295 0.0026734866 2309084.333 2304847.697 2307075.853 1012.64680 187.04109 734.21051 0.0068150161 336.94091 355.001 0.328704 485.532 305.681 0.01499986596 0.06827204072 0.0009344159 0.0026824520 2307048.917 2302882.163 2305030.308 1022.93999 155.57921 732.57407 0.0068168679 341.17828 356.001 0.329630 485.419 305.657 0.01487580811 0.06844512744 0.0009272291 0.0026911547 2305164.848 2301067.684 2303136.708 1033.15023 124.18023 731.05919 0.0068183837 344.63889 357.001 0.330556 485.315 305.636 0.01475143614 0.06861459622 0.0009199712 0.0026995919 2303432.043 2299404.153 2301394.972 1043.27501 92.84914 729.66580 0.0068195631 347.32313 358.001 0.331482 485.220 305.621 0.01462677107 0.06878042806 0.0009126445 0.0027077612 2301850.423 2297891.466 2299805.023 1053.31182 61.59086 728.39384 0.0068204057 349.23149 359.001 0.332408 485.134 305.610 0.01450183384 0.06894260396 0.0009052511 0.0027156600 2300419.912 2296529.521 2298366.786 1063.25815 30.41032 727.24325 0.0068209112 350.36455 360.001 0.333334 485.057 305.604 0.01437664533 0.06910110485 0.0008977934 0.0027232860 2299140.439 2295318.221 2297080.190 1073.11143 -0.68755 726.21398 0.0068210794 350.72296 Engine speed (Hz) = 3.0000000000 Output power (W) = 1052.1687973690 Heat into heater (W) = 3219.3343024212 Heat to regenerator (W) = -2.0626368423 Heat removal from cooler (W) = 2178.6419250372 Approximate Pumping loss (W) = -79.5362256333 Thermal efficiency (%) = 32.6828063981 The average engine pressure (Pa) = 2975707.4125881824 The exp space work per cycle (J) = 1072.4540490807 The comp space work per cycle (J) = -721.7311166244 The net work per cycle (J) = 350.7229324563 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6359.3773953224 The expansion work for Vmin-to-Vmax (J) = 6710.1003277788 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 485.264 305.761 0.01438620888 0.06906269122 0.0008977908 0.0027232886 2301659.443 2295215.355 2298194.442 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.001 0.000695 485.195 305.761 0.01426073668 0.06921802726 0.0008902764 0.0027306341 2300517.014 2294187.099 2297041.036 9.74923 -31.04030 -0.92272 0.0068209105 -0.43443 2.000 0.001389 485.136 305.765 0.01413505439 0.06936965012 0.0008827023 0.0027377025 2299525.087 2293308.619 2296039.156 19.40039 -61.98820 -1.72423 0.0068204049 -1.64062 3.001 0.002084 485.085 305.774 0.01400900133 0.06951775055 0.0008750598 0.0027445014 2298682.511 2292578.880 2295187.639 28.96459 -92.88318 -2.40544 0.0068195612 -3.62109 4.000 0.002778 485.043 305.787 0.01388296103 0.06966188260 0.0008673732 0.0027510090 2297991.668 2291999.893 2294488.897 38.41171 -123.63138 -2.96444 0.0068183821 -6.36917 5.001 0.003473 485.011 305.806 0.01375659106 0.06980244175 0.0008596226 0.0027572421 2297450.531 2291569.906 2293940.880 47.76636 -154.31649 -3.40285 0.0068168647 -9.89171 6.000 0.004167 484.987 305.829 0.01363027583 0.06993900354 0.0008518327 0.0027631809 2297060.625 2291290.075 2293545.136 56.99900 -184.84528 -3.71945 0.0068150136 -14.17745 7.001 0.004862 484.973 305.856 0.01350367208 0.07007194140 0.0008439835 0.0027688408 2296820.799 2291159.517 2293300.499 66.13362 -215.30080 -3.91515 0.0068128243 -19.23751 8.001 0.005556 484.968 305.889 0.01337716484 0.07020085258 0.0008360999 0.0027742036 2296731.723 2291178.536 2293207.654 75.14129 -245.59049 -3.98943 0.0068103035 -25.05603 9.001 0.006251 484.971 305.925 0.01325041030 0.07032608817 0.0008281617 0.0027792832 2296793.125 2291347.118 2293266.319 84.04533 -275.79668 -3.94250 0.0068074449 -31.64839 10.001 0.006945 484.984 305.967 0.01312379394 0.07044726730 0.0008201940 0.0027840635 2297004.817 2291664.715 2293476.316 92.81747 -305.82751 -3.77450 0.0068042575 -38.99415 11.000 0.007639 485.006 306.013 0.01299715413 0.07056455230 0.0008121879 0.0027885505 2297366.776 2292131.400 2293837.619 101.46794 -335.72160 -3.48546 0.0068007385 -47.10070 12.001 0.008334 485.037 306.064 0.01287032913 0.07067808290 0.0008041343 0.0027927487 2297879.849 2292748.112 2294351.078 110.00630 -365.51677 -3.07469 0.0067968830 -55.97972 13.000 0.009028 485.077 306.119 0.01274370467 0.07078751140 0.0007960587 0.0027966447 2298542.566 2293513.024 2295015.223 118.40531 -395.12230 -2.54338 0.0067927034 -65.60396 14.001 0.009723 485.126 306.179 0.01261693670 0.07089313194 0.0007879404 0.0028002485 2299356.850 2294428.291 2295831.982 126.68651 -424.61852 -1.88997 0.0067881890 -75.99933 15.000 0.010417 485.183 306.243 0.01249041088 0.07099461921 0.0007798052 0.0028035488 2300320.376 2295491.233 2296799.024 134.82339 -453.91555 -1.11633 0.0067833539 -87.13405 16.001 0.011112 485.251 306.312 0.01236378352 0.07109224410 0.0007716320 0.0028065539 2301435.944 2296704.870 2297919.162 142.83673 -483.09280 -0.22022 0.0067781859 -99.03823 17.001 0.011806 485.327 306.386 0.01223743998 0.07118570391 0.0007634470 0.0028092544 2302700.374 2298065.670 2299189.202 150.70079 -512.06127 0.79581 0.0067727014 -111.67555 18.001 0.012501 485.412 306.464 0.01211103722 0.07127524597 0.0007552291 0.0028116571 2304117.345 2299577.517 2300612.841 158.43557 -540.89938 1.93472 0.0067668862 -125.08028 19.001 0.013195 485.506 306.547 0.01198496009 0.07136059045 0.0007470043 0.0028137545 2305682.820 2301236.025 2302186.024 166.01612 -569.51906 3.19327 0.0067607588 -139.21161 20.000 0.013889 485.609 306.634 0.01185904776 0.07144184675 0.0007387634 0.0028155496 2307398.774 2303043.228 2303910.736 173.45103 -597.95685 4.57304 0.0067543130 -154.08599 21.001 0.014584 485.721 306.726 0.01173314044 0.07151910047 0.0007304969 0.0028170437 2309268.057 2305002.020 2305789.843 180.74802 -626.24820 6.07632 0.0067475407 -169.72402 22.000 0.015278 485.842 306.823 0.01160762180 0.07159210648 0.0007222313 0.0028182322 2311285.346 2307106.732 2307817.993 187.88341 -654.30654 7.69884 0.0067404635 -186.07822 23.001 0.015973 485.972 306.924 0.01148215161 0.07166105206 0.0007139451 0.0028191180 2313456.516 2309363.399 2310001.095 194.87512 -682.20755 9.44532 0.0067330631 -203.19311 24.000 0.016667 486.111 307.029 0.01135711248 0.07172571554 0.0007056648 0.0028196984 2315775.387 2311765.494 2312332.933 201.70036 -709.86572 11.31079 0.0067253632 -221.01676 25.001 0.017362 486.259 307.139 0.01123216578 0.07178625967 0.0006973690 0.0028199748 2318248.711 2314319.909 2314820.298 208.37616 -737.35551 13.30069 0.0067173438 -239.59774 26.001 0.018056 486.415 307.254 0.01110769284 0.07184248646 0.0006890841 0.0028199464 2320869.450 2317019.257 2317456.111 214.88066 -764.59254 15.40934 0.0067090305 -258.87970 27.001 0.018751 486.581 307.373 0.01098335691 0.07189453386 0.0006807888 0.0028196131 2323645.236 2319871.279 2320248.050 221.22997 -791.64999 17.64289 0.0067004019 -278.91524 28.001 0.019445 486.756 307.497 0.01085953784 0.07194222780 0.0006725094 0.0028189760 2326568.170 2322867.728 2323188.166 227.40320 -818.44465 19.99498 0.0066914854 -299.64362 29.000 0.020139 486.939 307.625 0.01073607866 0.07198562170 0.0006642366 0.0028180349 2329642.228 2326012.553 2326280.459 233.40697 -845.01023 22.46881 0.0066822715 -321.08998 30.001 0.020834 487.132 307.757 0.01061282462 0.07202474385 0.0006559609 0.0028167882 2332872.265 2329310.553 2329529.814 239.24698 -871.37907 25.06830 0.0066727491 -343.28350 31.000 0.021528 487.332 307.894 0.01049015292 0.07205945647 0.0006477087 0.0028152399 2336249.092 2332752.173 2332926.982 244.90382 -897.46983 27.78603 0.0066629486 -366.15692 32.001 0.022223 487.543 308.036 0.01036773275 0.07208983397 0.0006394587 0.0028133859 2339782.552 2336347.256 2336481.868 250.39120 -923.35217 30.62994 0.0066528446 -389.77268 33.000 0.022917 487.761 308.181 0.01024593926 0.07211576292 0.0006312372 0.0028112321 2343462.600 2340085.364 2340184.362 255.69075 -948.94604 33.59194 0.0066424693 -414.05922 34.001 0.023612 487.989 308.332 0.01012444456 0.07213729143 0.0006230230 0.0028087730 2347299.977 2343977.155 2344045.272 260.81517 -974.31954 36.68066 0.0066317960 -439.08283 35.001 0.024306 488.225 308.487 0.01000362154 0.07215433025 0.0006148423 0.0028060164 2351283.794 2348011.282 2348053.640 265.74714 -999.39396 39.88736 0.0066208587 -464.76767 36.001 0.025001 488.470 308.646 0.00988314561 0.07216690003 0.0006066738 0.0028029553 2355425.718 2352199.171 2352221.208 270.49829 -1024.23576 43.22141 0.0066096291 -491.18384 37.001 0.025695 488.723 308.809 0.00976338732 0.07217493424 0.0005985437 0.0027995993 2359714.072 2356528.475 2356536.232 275.05233 -1048.76750 46.67343 0.0065981430 -518.25127 38.000 0.026389 488.985 308.977 0.00964419741 0.07217841870 0.0005904427 0.0027959453 2364155.101 2361004.571 2361005.025 279.41346 -1073.01889 50.24847 0.0065863880 -546.00331 39.001 0.027084 489.257 309.150 0.00952542912 0.07217733043 0.0005823615 0.0027919885 2368755.610 2365637.070 2365634.143 283.58539 -1097.01880 53.93384 0.0065743500 -574.47717 40.000 0.027778 489.536 309.328 0.00940744179 0.07217170855 0.0005743260 0.0027877414 2373500.190 2370421.892 2370408.196 287.55589 -1120.69591 57.67284 0.0065620674 -603.58650 41.001 0.028473 489.824 309.512 0.00928992027 0.07216150238 0.0005663153 0.0027831933 2378402.732 2375372.534 2375341.314 291.33378 -1144.11218 61.47554 0.0065495086 -633.41072 42.000 0.029167 490.120 309.702 0.00917322765 0.07214671269 0.0005583551 0.0027783584 2383449.304 2380474.386 2380419.444 294.90579 -1167.19414 65.33250 0.0065367135 -663.85938 43.001 0.029862 490.425 309.897 0.00905705245 0.07212727099 0.0005504247 0.0027732243 2388654.505 2385741.901 2385657.260 298.27995 -1190.00234 69.25643 0.0065236491 -695.01551 44.001 0.030556 490.738 310.097 0.00894175386 0.07210320875 0.0005425495 0.0027678075 2394003.351 2391159.714 2391039.675 301.44438 -1212.46523 73.23766 0.0065103570 -726.78460 45.001 0.031251 491.060 310.304 0.00882702465 0.07207443289 0.0005347091 0.0027620939 2399511.218 2396743.251 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0.01878359455 0.06061017021 0.0011187469 0.0022676595 2457137.443 2446255.952 2454812.485 650.94077 1197.16996 862.74204 0.0065864064 -218.95955 323.001 0.224306 494.017 309.021 0.01868260397 0.06089122589 0.0011149736 0.0022831874 2450229.246 2439455.444 2447857.984 662.66670 1166.51703 857.17844 0.0065981611 -190.28437 324.001 0.225001 493.628 308.844 0.01858037258 0.06116982891 0.0011110666 0.0022985965 2443463.027 2432798.256 2441046.132 674.39594 1135.70208 851.72896 0.0066096631 -162.30474 325.001 0.225695 493.247 308.673 0.01847722139 0.06144514638 0.0011070381 0.0023138377 2436858.408 2426303.625 2434396.700 686.09297 1104.82032 846.40941 0.0066208759 -135.10428 326.000 0.226389 492.874 308.507 0.01837303063 0.06171755091 0.0011028841 0.0023289287 2430405.671 2419961.922 2427899.923 697.77291 1073.83399 841.21199 0.0066318128 -108.64518 327.001 0.227084 492.509 308.345 0.01826767430 0.06198739910 0.0010985994 0.0023438863 2424095.953 2413764.379 2421546.894 709.45073 1042.70462 836.12957 0.0066424856 -82.89374 328.000 0.227778 492.152 308.188 0.01816148167 0.06225388560 0.0010941976 0.0023586628 2417947.501 2407728.856 2415356.000 721.09097 1011.52812 831.17685 0.0066528605 -57.92675 329.001 0.228473 491.804 308.035 0.01805417265 0.06251775023 0.0010896676 0.0023732964 2411942.667 2401837.966 2409309.486 732.72530 980.22092 826.33964 0.0066629640 -33.67483 330.000 0.229167 491.463 307.888 0.01794608167 0.06277820622 0.0010850235 0.0023877406 2406098.786 2396108.655 2403424.822 744.31832 948.87929 821.63191 0.0066727641 -10.21018 331.001 0.229862 491.131 307.746 0.01783692270 0.06303597736 0.0010802536 0.0024020324 2400399.055 2390524.390 2397685.101 755.90152 917.41905 817.04013 0.0066822860 12.53254 332.001 0.230556 490.808 307.608 0.01772703504 0.06329029568 0.0010753730 0.0024161265 2394859.902 2385101.207 2392106.878 767.43959 885.93677 812.57755 0.0066914994 34.48572 333.001 0.231251 490.492 307.475 0.01761612704 0.06354186847 0.0010703690 0.0024300591 2389465.376 2379823.431 2386674.101 778.96378 854.34772 808.23133 0.0067004281 55.71058 334.001 0.231945 490.186 307.347 0.01750454261 0.06378994674 0.0010652577 0.0024437860 2384231.000 2374706.194 2381402.416 790.43890 822.74872 804.01398 0.0067090437 76.14415 335.000 0.232639 489.887 307.224 0.01739214728 0.06403487024 0.0010600334 0.0024573231 2379148.890 2369741.724 2376283.893 801.87953 791.10022 799.91916 0.0067173565 95.81572 336.001 0.233334 489.597 307.105 0.01727880172 0.06427696100 0.0010546900 0.0024706854 2374212.032 2364923.124 2371311.477 813.29997 759.36231 795.94123 0.0067253754 114.75031 337.000 0.234028 489.316 306.992 0.01716485622 0.06451549881 0.0010492445 0.0024838304 2369434.601 2360264.175 2366499.454 824.66528 727.63207 792.09161 0.0067330748 132.89190 338.001 0.234723 489.043 306.883 0.01705000638 0.06475114794 0.0010436828 0.0024967919 2364802.789 2355751.361 2361833.926 836.00607 695.82373 788.35919 0.0067404747 150.29130 339.000 0.235417 488.779 306.779 0.01693460644 0.06498320753 0.0010380226 0.0025095288 2360329.878 2351397.570 2357328.279 847.28756 664.03447 784.75467 0.0067475514 166.89713 340.001 0.236112 488.524 306.679 0.01681834741 0.06521232398 0.0010322495 0.0025220737 2356002.924 2347190.151 2352969.483 858.54007 632.17826 781.26764 0.0067543232 182.75601 341.001 0.236806 488.277 306.585 0.01670158720 0.06543781596 0.0010263816 0.0025343869 2351834.318 2343141.105 2348770.029 869.72902 600.35230 777.90807 0.0067607686 197.82120 342.001 0.237501 488.039 306.495 0.01658401255 0.06566031161 0.0010204040 0.0025465001 2347811.983 2339238.649 2344717.754 880.88444 568.47036 774.66625 0.0067669040 212.13511 343.001 0.238195 487.809 306.410 0.01646598481 0.06587914929 0.0010143356 0.0025583746 2343947.424 2335493.897 2340824.257 891.97196 536.62962 771.55146 0.0067727102 225.65563 344.000 0.238889 487.589 306.330 0.01634735806 0.06609463049 0.0010081697 0.0025700245 2340234.670 2331901.006 2337083.530 903.00543 504.78959 768.55887 0.0067781942 238.40313 345.001 0.239584 487.377 306.254 0.01622798278 0.06630703757 0.0010018992 0.0025814625 2336668.624 2328455.005 2333490.442 913.99831 472.90974 765.68440 0.0067833617 250.39358 346.000 0.240278 487.174 306.184 0.01610822501 0.06651573869 0.0009955440 0.0025926522 2333259.469 2325165.687 2330055.259 924.91667 441.08713 762.93626 0.0067881962 261.59189 347.001 0.240973 486.980 306.118 0.01598776202 0.06672131486 0.0009890876 0.0026036225 2329997.299 2322023.448 2326768.005 935.78963 409.23532 760.30645 0.0067927102 272.02981 348.000 0.241667 486.794 306.056 0.01586696269 0.06692315429 0.0009825508 0.0026143385 2326891.420 2319037.205 2323638.062 946.58355 377.45120 757.80250 0.0067968892 281.67690 349.001 0.242362 486.618 306.000 0.01574550102 0.06712181856 0.0009759165 0.0026248277 2323932.798 2316198.225 2320656.332 957.32716 345.64838 755.41712 0.0068007442 290.56064 350.001 0.243056 486.450 305.948 0.01562374846 0.06731671606 0.0009692060 0.0026350568 2321129.866 2313514.554 2317831.317 967.98716 313.92355 753.15710 0.0068042627 298.65523 351.001 0.243751 486.292 305.901 0.01550137603 0.06750838866 0.0009624018 0.0026450521 2318474.464 2310978.331 2315154.796 978.59185 282.19042 751.01589 0.0068074540 305.98388 352.001 0.244445 486.142 305.858 0.01537875755 0.06769626508 0.0009555258 0.0026547819 2315974.150 2308596.733 2312634.393 989.10829 250.54542 748.99956 0.0068103077 312.52544 353.000 0.245139 486.001 305.821 0.01525573883 0.06788060408 0.0009485702 0.0026642578 2313624.916 2306365.878 2310266.072 999.54934 218.94794 747.10491 0.0068128279 318.29106 354.001 0.245834 485.869 305.788 0.01513216326 0.06806164405 0.0009415269 0.0026734898 2311423.626 2304282.757 2308046.674 1009.92742 187.35762 745.32939 0.0068150168 323.28750 355.000 0.246528 485.747 305.760 0.01500840783 0.06823884454 0.0009344185 0.0026824488 2309376.537 2302353.247 2305982.511 1020.21019 155.87039 743.67806 0.0068168673 327.50061 356.001 0.247223 485.633 305.736 0.01488413721 0.06841269672 0.0009272265 0.0026911577 2307477.677 2300571.671 2304067.564 1030.42479 124.40054 742.14610 0.0068183842 330.94284 357.000 0.247917 485.528 305.717 0.01475973023 0.06858268086 0.0009199738 0.0026995889 2305732.440 2298943.042 2302307.276 1040.53931 93.04363 740.73787 0.0068195627 333.60466 358.001 0.248612 485.432 305.703 0.01463484952 0.06874926735 0.0009126418 0.0027077641 2304135.728 2297462.557 2300696.510 1050.58037 61.71428 739.44926 0.0068204059 335.49423 359.001 0.249306 485.345 305.693 0.01450987549 0.06891195734 0.0009052538 0.0027156572 2302692.074 2296134.369 2299239.838 1060.51655 30.50762 738.28392 0.0068209110 336.60666 360.001 0.250001 485.267 305.688 0.01438446902 0.06907120016 0.0008977907 0.0027232887 2301397.256 2294954.546 2297933.005 1070.37392 -0.66132 737.23845 0.0068210794 336.94582 Engine speed (Hz) = 4.0000000000 Output power (W) = 1347.7829820045 Heat into heater (W) = 4281.4956651169 Heat to regenerator (W) = -2.6452773310 Heat removal from cooler (W) = 2948.9538170630 Approximate Pumping loss (W) = -177.9139503379 Thermal efficiency (%) = 31.4792560223 The average engine pressure (Pa) = 2976114.6252452885 The exp space work per cycle (J) = 1069.7346405586 The comp space work per cycle (J) = -732.7888950573 The net work per cycle (J) = 336.9457455012 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6367.4804760607 The expansion work for Vmin-to-Vmax (J) = 6704.4262215618 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 485.523 305.862 0.01439604957 0.06902563340 0.0008978016 0.0027232778 2304435.076 2294754.374 2299245.626 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.001 0.000556 485.453 305.863 0.01427023848 0.06918196500 0.0008902764 0.0027306341 2303272.823 2293763.903 2298066.858 9.75962 -31.14506 -0.94301 0.0068209105 -0.45828 2.002 0.001112 485.392 305.869 0.01414421584 0.06933456700 0.0008826914 0.0027377125 2302261.239 2292923.052 2297040.306 19.42084 -62.19744 -1.76426 0.0068204039 -1.69018 3.001 0.001667 485.341 305.880 0.01401822984 0.06948315476 0.0008750626 0.0027444990 2301401.706 2292232.829 2296167.378 28.96394 -93.09654 -2.46260 0.0068195615 -3.69053 4.001 0.002223 485.298 305.895 0.01389184747 0.06962824334 0.0008673648 0.0027510159 2300691.101 2291690.648 2295444.904 38.42071 -123.94873 -3.04058 0.0068183807 -6.46556 5.000 0.002778 485.264 305.914 0.01376554423 0.06976929043 0.0008596282 0.0027572377 2300131.959 2291298.368 2294875.465 47.75449 -154.63807 -3.49613 0.0068168659 -10.00425 6.001 0.003334 485.240 305.939 0.01363888590 0.06990678372 0.0008518271 0.0027631851 2299722.249 2291054.483 2294456.995 56.99630 -185.27015 -3.83090 0.0068150122 -14.31824 7.000 0.003889 485.224 305.968 0.01351234893 0.07004020797 0.0008439920 0.0027688348 2299463.436 2290959.784 2294190.994 66.11024 -215.72983 -4.04371 0.0068128268 -19.39080 8.001 0.004445 485.217 306.001 0.01338549823 0.07017002315 0.0008360971 0.0027742055 2299354.581 2291013.849 2294076.499 75.12650 -246.12187 -4.13530 0.0068103026 -25.23892 9.000 0.005000 485.220 306.039 0.01325881093 0.07029574137 0.0008281731 0.0027792761 2299396.079 2291216.403 2294113.927 84.00999 -276.33199 -4.10536 0.0068074493 -31.84019 10.001 0.005556 485.231 306.082 0.01313185140 0.07041779453 0.0008201940 0.0027840635 2299588.086 2291568.100 2294303.421 92.79006 -306.46404 -3.95376 0.0068042575 -39.21694 11.002 0.006112 485.252 306.129 0.01300486879 0.07053593128 0.0008121764 0.0027885568 2299930.675 2292068.638 2294645.067 101.44792 -336.45847 -3.68045 0.0068007332 -47.35643 12.001 0.006667 485.282 306.181 0.01287811243 0.07064992829 0.0008041372 0.0027927472 2300422.844 2292716.646 2295137.861 109.96564 -366.25669 -3.28621 0.0067968845 -56.24035 13.001 0.007223 485.320 306.238 0.01275114648 0.07076017470 0.0007960500 0.0027966487 2301066.392 2293514.392 2295783.606 118.37124 -395.96105 -2.76962 0.0067926987 -65.89900 14.000 0.007778 485.368 306.299 0.01262444858 0.07086625215 0.0007879463 0.0028002461 2301859.035 2294458.945 2296580.012 126.63179 -425.45969 -2.13249 0.0067881923 -76.29585 15.001 0.008334 485.425 306.365 0.01249758319 0.07096852088 0.0007797993 0.0028035510 2302803.666 2295553.646 2297529.988 134.77438 -454.85385 -1.37251 0.0067833503 -87.46650 16.000 0.008889 485.491 306.435 0.01237102767 0.07106659083 0.0007716409 0.0028065508 2303896.932 2296794.501 2298630.162 142.76702 -484.03273 -0.49237 0.0067781917 -99.36880 17.001 0.009445 485.565 306.509 0.01224434707 0.07116079295 0.0007634441 0.0028092553 2305142.822 2298185.924 2299884.550 150.63581 -513.09639 0.51114 0.0067726994 -112.04360 18.000 0.010000 485.649 306.589 0.01211801823 0.07125076578 0.0007552409 0.0028116539 2306536.910 2299722.855 2301288.698 158.34977 -541.93519 1.63446 0.0067668948 -125.44318 19.001 0.010556 485.742 306.673 0.01199160713 0.07133681067 0.0007470043 0.0028137545 2308084.282 2301410.777 2302847.727 165.93399 -570.64792 2.88168 0.0067607588 -139.61360 20.002 0.011112 485.844 306.761 0.01186536287 0.07141873869 0.0007387515 0.0028155520 2309782.629 2303247.003 2304559.316 173.37175 -599.17730 4.25095 0.0067543034 -154.52907 21.001 0.011667 485.955 306.854 0.01173953344 0.07149639027 0.0007304999 0.0028170432 2311628.564 2305227.775 2306420.048 180.64737 -627.46734 5.73954 0.0067475432 -170.15836 22.001 0.012223 486.074 306.951 0.01161368687 0.07157002166 0.0007222224 0.0028182333 2313628.819 2307360.178 2308436.710 187.78438 -655.61478 7.35287 0.0067404557 -186.55530 23.000 0.012778 486.203 307.053 0.01148829741 0.07163934420 0.0007139511 0.0028191175 2315776.285 2309636.486 2310602.136 194.75443 -683.51314 9.08521 0.0067330686 -203.65832 24.001 0.013334 486.341 307.160 0.01136293487 0.07170458360 0.0007056588 0.0028196987 2318078.794 2312064.844 2312924.220 201.57996 -711.25769 10.94288 0.0067253575 -221.52638 25.000 0.013889 486.487 307.270 0.01123807198 0.07176548087 0.0006973780 0.0028199747 2320528.160 2314636.456 2315394.710 208.23373 -738.74335 12.91927 0.0067173526 -240.09244 26.001 0.014445 486.643 307.386 0.01111328069 0.07182223082 0.0006890811 0.0028199463 2323133.316 2317360.525 2318022.613 214.73705 -766.06383 15.02159 0.0067090275 -259.42053 27.000 0.015000 486.807 307.506 0.01098903190 0.07187460443 0.0006808007 0.0028196138 2325885.002 2320227.181 2320798.587 221.06387 -793.11550 17.24237 0.0067004145 -279.43815 28.001 0.015556 486.981 307.630 0.01086490004 0.07192276517 0.0006725094 0.0028189760 2328793.252 2323246.678 2323732.755 227.23433 -819.99042 19.58970 0.0066914854 -300.21438 29.002 0.016112 487.163 307.759 0.01074113166 0.07196658918 0.0006642247 0.0028180333 2331853.372 2326413.897 2326820.378 233.23422 -846.63421 22.05980 0.0066822580 -321.71062 30.001 0.016667 487.354 307.892 0.01061797081 0.07200598342 0.0006559639 0.0028167887 2335059.582 2329722.645 2330055.625 239.05058 -872.99408 24.64800 0.0066727526 -343.88300 31.001 0.017223 487.554 308.030 0.01049499633 0.07204106348 0.0006476998 0.0028152380 2338423.582 2333184.735 2333450.296 244.70173 -899.15948 27.36374 0.0066629378 -366.80805 32.000 0.017778 487.763 308.171 0.01037267334 0.07207167636 0.0006394647 0.0028133873 2341933.425 2336787.581 2336992.338 250.16471 -925.03070 30.19737 0.0066528520 -390.39981 33.001 0.018334 487.981 308.318 0.01025058406 0.07209790493 0.0006312313 0.0028112304 2345601.932 2340544.013 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2554870.958 2536835.487 2552304.086 506.73246 1555.40141 953.36028 0.0064256385 -634.27831 311.000 0.172778 499.553 311.540 0.01982833475 0.05726831271 0.0011515184 0.0020887977 2546178.664 2528271.556 2543532.093 518.47681 1526.71576 946.34269 0.0064403161 -597.14391 312.001 0.173334 499.074 311.306 0.01974114908 0.05757920651 0.0011492185 0.0021055803 2537617.836 2519842.605 2534892.004 530.24752 1497.77290 939.43061 0.0064547988 -560.62856 313.000 0.173889 498.602 311.078 0.01965270957 0.05788711938 0.0011467842 0.0021222457 2529219.785 2511579.337 2526415.471 542.00091 1468.68457 932.64939 0.0064690300 -524.86872 314.001 0.174445 498.137 310.854 0.01956272703 0.05819311765 0.0011442076 0.0021388491 2520954.725 2503452.322 2518072.479 553.77796 1439.35349 925.97499 0.0064830567 -489.74049 315.002 0.175001 497.679 310.635 0.01947138885 0.05849660223 0.0011414936 0.0021553552 2512838.364 2495476.899 2509878.929 565.55609 1409.83935 919.42016 0.0064968487 -455.31369 316.001 0.175556 497.229 310.421 0.01937889197 0.05879699328 0.0011386483 0.0021717295 2504885.304 2487667.285 2501849.609 577.31267 1380.20307 912.99670 0.0065103778 -421.65291 317.002 0.176112 496.786 310.212 0.01928493188 0.05909533363 0.0011356623 0.0021880262 2497067.259 2479995.586 2493956.004 589.08857 1350.34515 906.68182 0.0065236885 -388.64127 318.001 0.176667 496.352 310.008 0.01918987509 0.05939051164 0.0011325473 0.0022041815 2489412.693 2472489.618 2486226.893 600.83992 1320.38015 900.49853 0.0065367288 -356.40173 319.001 0.177223 495.924 309.809 0.01909340741 0.05968355354 0.0011292930 0.0022202489 2481894.332 2465122.525 2478634.774 612.60752 1290.20718 894.42483 0.0065495419 -324.82218 320.000 0.177778 495.504 309.615 0.01899590389 0.05997336885 0.0011259122 0.0022361655 2474539.502 2457920.972 2471207.279 624.34744 1259.94179 888.48284 0.0065620777 -294.02010 321.001 0.178334 495.092 309.425 0.01889704107 0.06026096652 0.0011223936 0.0022519840 2467321.953 2450859.149 2463917.934 636.10036 1229.48184 882.65136 0.0065743776 -263.88823 322.000 0.178889 494.687 309.241 0.01879720214 0.06054527764 0.0011187509 0.0022676426 2460267.875 2443962.574 2456793.221 647.82236 1198.94374 876.95159 0.0065863936 -234.53853 323.001 0.179445 494.290 309.061 0.01869605474 0.06082729319 0.0011149722 0.0022831930 2453352.053 2437206.489 2449807.704 659.55397 1168.22420 871.36318 0.0065981652 -205.86866 324.002 0.180001 493.901 308.887 0.01859380495 0.06110646569 0.0011110651 0.0022986020 2446587.511 2430603.532 2442974.569 671.27235 1137.38483 865.89667 0.0066096672 -177.93543 325.001 0.180556 493.521 308.717 0.01849066655 0.06138226894 0.0011070381 0.0023138377 2439986.167 2424165.218 2436305.881 682.95468 1106.48801 860.56172 0.0066208759 -150.79021 326.002 0.181112 493.148 308.552 0.01838629457 0.06165566584 0.0011028780 0.0023289503 2433524.369 2417868.384 2429777.776 694.64128 1075.42894 855.33923 0.0066318283 -124.33817 327.001 0.181667 492.784 308.392 0.01828109087 0.06192564281 0.0010986009 0.0023438809 2427225.477 2411735.696 2423413.878 706.28829 1044.32579 850.24811 0.0066424819 -98.67727 328.001 0.182223 492.427 308.237 0.01817470258 0.06219314328 0.0010941928 0.0023586787 2421066.892 2405745.056 2417191.379 717.93583 1013.07284 845.27011 0.0066528715 -73.71774 329.000 0.182778 492.079 308.086 0.01806753836 0.06245717634 0.0010896709 0.0023732860 2415070.849 2399918.001 2411132.767 729.54010 981.78883 840.42323 0.0066629568 -49.55192 330.001 0.183334 491.738 307.941 0.01795923783 0.06271866538 0.0010850202 0.0023877509 2409215.805 2394233.504 2405216.298 741.14102 950.36726 835.69005 0.0066727711 -26.09514 331.000 0.183889 491.406 307.800 0.01785021607 0.06297664246 0.0010802588 0.0024020171 2403522.873 2388711.973 2399463.323 752.69491 918.92730 831.08767 0.0066822759 -3.43408 332.001 0.184445 491.083 307.664 0.01774010556 0.06323201040 0.0010753712 0.0024161315 2397971.574 2383333.459 2393853.169 764.24142 887.36178 826.59955 0.0066915027 18.51075 333.002 0.185001 490.767 307.533 0.01762912709 0.06348427538 0.0010703672 0.0024300641 2392572.325 2378107.985 2388396.380 775.75772 855.73332 822.23412 0.0067004313 39.69582 334.001 0.185556 490.460 307.407 0.01751750748 0.06373296642 0.0010652577 0.0024437860 2387334.439 2373044.463 2383102.387 787.22114 824.10494 817.99892 0.0067090437 60.08314 335.002 0.186112 490.162 307.285 0.01740486921 0.06397895456 0.0010600258 0.0024573425 2382239.041 2368124.564 2377952.129 798.67092 792.36858 813.87871 0.0067173682 79.74438 336.001 0.186667 489.872 307.168 0.01729164190 0.06422133036 0.0010546919 0.0024706806 2377304.450 2363365.895 2372964.136 810.06381 760.64425 809.88832 0.0067253725 98.60715 337.001 0.187223 489.590 307.056 0.01717744182 0.06446094306 0.0010492385 0.0024838445 2372512.866 2358751.209 2368120.431 821.43874 728.82342 806.01336 0.0067330830 116.73786 338.000 0.187778 489.317 306.949 0.01706270383 0.06469690703 0.0010436868 0.0024967827 2367881.498 2354297.003 2363438.423 832.75266 697.02628 802.26775 0.0067404695 134.06983 339.001 0.188334 489.053 306.847 0.01694703836 0.06493004925 0.0010380185 0.0025095379 2363393.621 2349987.114 2358901.219 844.04417 665.14394 798.63799 0.0067475564 150.66418 340.000 0.188889 488.797 306.749 0.01683088515 0.06515950818 0.0010322558 0.0025220603 2359065.338 2345836.929 2354525.108 855.27048 633.29671 795.13710 0.0067543161 166.46000 341.001 0.189445 488.550 306.657 0.01671384917 0.06538608807 0.0010263795 0.0025343913 2354881.005 2341831.373 2350294.287 866.46982 601.37540 791.75244 0.0067607708 181.51309 342.002 0.190001 488.311 306.568 0.01659616248 0.06560935022 0.0010204018 0.0025465044 2350848.505 2337977.936 2346216.736 877.61969 569.44293 788.49040 0.0067669062 195.79325 343.001 0.190556 488.081 306.485 0.01647806166 0.06582888008 0.0010143356 0.0025583746 2346974.626 2334283.012 2342299.329 888.69791 537.56225 785.35647 0.0067727102 209.27599 344.002 0.191112 487.860 306.407 0.01635914414 0.06604544704 0.0010081608 0.0025700411 2343245.346 2330733.156 2338527.897 899.74211 505.62391 782.33933 0.0067782019 222.00907 345.001 0.191667 487.648 306.333 0.01623986049 0.06625825070 0.0010019015 0.0025814584 2339674.020 2327341.005 2334915.954 910.71027 473.74821 779.44977 0.0067833599 233.94597 346.001 0.192223 487.444 306.264 0.01611980357 0.06646803668 0.0009955371 0.0025926642 2336247.711 2324094.204 2331450.424 921.63959 441.82563 776.67735 0.0067882012 245.12911 347.000 0.192778 487.250 306.199 0.01599942773 0.06667402942 0.0009890923 0.0026036147 2332978.677 2321004.296 2328143.716 932.48840 409.97632 774.03198 0.0067927070 255.51771 348.001 0.193334 487.063 306.140 0.01587832161 0.06687695039 0.0009825460 0.0026143461 2329855.071 2318060.012 2324983.850 943.29344 378.09081 771.50409 0.0067968921 265.14881 349.000 0.193889 486.886 306.085 0.01575694305 0.06707604906 0.0009759237 0.0026248165 2326888.059 2315271.810 2321982.133 954.01346 346.28903 769.10272 0.0068007402 273.98743 350.001 0.194445 486.718 306.035 0.01563487679 0.06727202238 0.0009692035 0.0026350604 2324066.882 2312629.507 2319127.683 964.68467 314.46161 766.81916 0.0068042639 282.06516 351.002 0.195001 486.559 305.989 0.01551236315 0.06746448807 0.0009623994 0.0026450557 2321396.953 2310138.129 2316425.984 975.28528 282.67109 764.65780 0.0068074551 289.36525 352.001 0.195556 486.408 305.948 0.01538964554 0.06765308917 0.0009555258 0.0026547819 2318882.599 2307801.619 2313881.422 985.79396 250.97970 762.62215 0.0068103077 295.87660 353.002 0.196112 486.266 305.912 0.01526630351 0.06783848512 0.0009485601 0.0026642712 2316514.693 2305611.427 2311484.766 996.24613 219.27837 760.70482 0.0068128313 301.62271 354.001 0.196667 486.134 305.881 0.01514280236 0.06801998895 0.0009415295 0.0026734866 2314301.691 2303575.302 2309244.578 1006.60172 187.68625 758.91267 0.0068150161 306.58301 355.001 0.197223 486.010 305.854 0.01501871862 0.06819823462 0.0009344108 0.0026824584 2312235.554 2301685.781 2307152.728 1016.89553 156.09460 757.23919 0.0068168691 310.77561 356.000 0.197778 485.895 305.832 0.01489452005 0.06837256096 0.0009272317 0.0026911516 2310323.657 2299949.537 2305216.686 1027.08805 124.62210 755.69036 0.0068183832 314.18570 357.001 0.198334 485.790 305.815 0.01476978049 0.06854357611 0.0009199686 0.0026995949 2308559.054 2298360.192 2303429.423 1037.21347 93.16042 754.26055 0.0068195635 316.82594 358.000 0.198889 485.693 305.802 0.01464496990 0.06871064493 0.0009126498 0.0027077554 2306948.041 2296923.345 2301797.320 1047.23284 61.82774 752.95487 0.0068204052 318.68732 359.001 0.199445 485.605 305.794 0.01451965975 0.06887434939 0.0009052511 0.0027156600 2305484.762 2295633.703 2300314.449 1057.17971 30.51619 751.76857 0.0068209112 319.77706 360.002 0.200001 485.526 305.790 0.01439409588 0.06903436504 0.0008977880 0.0027232914 2304172.212 2294493.878 2298983.847 1067.03336 -0.71269 750.70409 0.0068210794 320.09177 Engine speed (Hz) = 5.0000000000 Output power (W) = 1600.4581980490 Heat into heater (W) = 5335.1668145303 Heat to regenerator (W) = -3.5634686132 Heat removal from cooler (W) = 3753.5204468722 Approximate Pumping loss (W) = -332.1428037713 Thermal efficiency (%) = 29.9982784735 The average engine pressure (Pa) = 2976629.6395024871 The exp space work per cycle (J) = 1066.3449096705 The comp space work per cycle (J) = -746.2532700608 The net work per cycle (J) = 320.0916396097 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6377.3961087642 The expansion work for Vmin-to-Vmax (J) = 6697.4877483740 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 485.828 305.980 0.01440728745 0.06898224983 0.0008977908 0.0027232886 2307711.699 2294186.675 2300487.162 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.002 0.000464 485.757 305.983 0.01428137946 0.06913937663 0.0008902710 0.0027306393 2306529.024 2293243.822 2299281.424 9.74816 -31.19357 -0.96459 0.0068209103 -0.48707 2.002 0.000927 485.695 305.991 0.01415525912 0.06929277288 0.0008826914 0.0027377125 2305496.467 2292449.698 2298227.970 19.39802 -62.29457 -1.80735 0.0068204039 -1.74621 3.002 0.001390 485.642 306.003 0.01402894762 0.06944241763 0.0008750543 0.0027445062 2304614.014 2291804.190 2297326.790 28.94696 -93.29797 -2.52830 0.0068195605 -3.77654 4.002 0.001853 485.598 306.019 0.01390246609 0.06958828980 0.0008673620 0.0027510181 2303881.659 2291307.190 2296577.882 38.39233 -124.19870 -3.12742 0.0068183802 -6.57712 5.002 0.002316 485.563 306.041 0.01377583566 0.06973036823 0.0008596170 0.0027572465 2303299.401 2290958.591 2295981.247 47.73149 -154.99173 -3.60473 0.0068168635 -10.14694 6.002 0.002779 485.537 306.067 0.01364907740 0.06986863164 0.0008518214 0.0027631893 2302867.244 2290758.292 2295536.893 56.96179 -185.67202 -3.96021 0.0068150107 -14.48488 7.002 0.003242 485.520 306.097 0.01352221238 0.07000305863 0.0008439778 0.0027688447 2302585.197 2290706.194 2295244.833 66.08056 -216.23453 -4.19386 0.0068128226 -19.58974 8.002 0.003705 485.512 306.132 0.01339526166 0.07013362764 0.0008360885 0.0027742111 2302453.278 2290802.200 2295105.087 75.08512 -246.67421 -4.30566 0.0068102997 -25.46027 9.000 0.004167 485.513 306.172 0.01326852067 0.07026004755 0.0008281731 0.0027792761 2302471.306 2291045.533 2295117.488 83.95372 -276.92069 -4.29574 0.0068074493 -32.07994 10.000 0.004630 485.523 306.216 0.01314146175 0.07038284382 0.0008201998 0.0027840602 2302639.388 2291437.154 2295282.121 92.72208 -307.09986 -4.16403 0.0068042600 -39.47599 11.000 0.005093 485.543 306.265 0.01301438023 0.07050171660 0.0008121879 0.0027885505 2302957.683 2291976.611 2295599.160 101.36816 -337.14105 -3.91040 0.0068007385 -47.63339 12.000 0.005556 485.571 306.318 0.01288729718 0.07061664367 0.0008041401 0.0027927458 2303426.231 2292663.819 2296068.650 109.88928 -367.03918 -3.53481 0.0067968859 -56.55052 13.000 0.006019 485.608 306.376 0.01276023370 0.07072760266 0.0007960587 0.0027966447 2304045.080 2293498.695 2296690.640 118.28272 -396.78918 -3.03722 0.0067927034 -66.22571 14.000 0.006482 485.654 306.439 0.01263321091 0.07083457097 0.0007879463 0.0028002461 2304814.284 2294481.158 2297465.187 126.54576 -426.38595 -2.41758 0.0067881923 -76.65719 15.000 0.006945 485.709 306.506 0.01250624997 0.07093752581 0.0007798052 0.0028035488 2305733.904 2295611.130 2298392.354 134.67570 -455.82438 -1.67585 0.0067833539 -87.84308 16.001 0.007408 485.774 306.577 0.01237937208 0.07103644418 0.0007716379 0.0028065519 2306804.009 2296888.533 2299472.211 142.66982 -485.09933 -0.81196 0.0067781898 -99.78146 17.001 0.007871 485.847 306.653 0.01225259850 0.07113130284 0.0007634470 0.0028092544 2308024.672 2298313.289 2300704.834 150.52539 -514.20567 0.17414 0.0067727014 -112.47028 18.001 0.008334 485.929 306.734 0.01212595054 0.07122207834 0.0007552350 0.0028116555 2309395.974 2299885.323 2302090.305 158.23970 -543.13822 1.28251 0.0067668905 -125.90743 19.001 0.008797 486.021 306.819 0.01199944959 0.07130874698 0.0007470043 0.0028137545 2310918.005 2301604.556 2303628.715 165.81002 -571.89180 2.51324 0.0067607588 -140.09070 20.001 0.009260 486.121 306.909 0.01187311708 0.07139128482 0.0007387574 0.0028155508 2312590.859 2303470.910 2305320.159 173.23364 -600.46120 3.86640 0.0067543082 -155.01780 21.001 0.009723 486.230 307.003 0.01174697455 0.07146966765 0.0007304969 0.0028170437 2314414.638 2305484.307 2307164.741 180.50782 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2415392.724 2432005.259 690.89676 1077.44509 871.91812 0.0066318283 -142.79702 327.002 0.151390 493.107 308.446 0.01829673501 0.06185317415 0.0010985962 0.0023438970 2430904.703 2409316.136 2425608.563 702.54426 1046.27441 866.80076 0.0066424932 -117.16082 328.002 0.151853 492.750 308.292 0.01819037616 0.06212120994 0.0010941912 0.0023586840 2424749.733 2403392.374 2419364.252 714.17171 1015.00798 861.80531 0.0066528752 -92.27096 329.002 0.152316 492.402 308.144 0.01808304188 0.06238627231 0.0010896643 0.0023733069 2418745.562 2397621.398 2413272.454 725.77723 983.65214 856.93188 0.0066629712 -68.13001 330.002 0.152779 492.062 308.001 0.01797475807 0.06264833253 0.0010850168 0.0023877613 2412892.267 2392003.158 2407333.278 737.35889 952.21320 852.18054 0.0066727780 -44.74039 331.002 0.153242 491.730 307.862 0.01786555043 0.06290736250 0.0010802501 0.0024020426 2407189.911 2386537.590 2401546.818 748.91474 920.69737 847.55137 0.0066822928 -22.10440 332.002 0.153705 491.406 307.728 0.01775544444 0.06316333473 0.0010753658 0.0024161467 2401638.543 2381224.621 2395913.151 760.44280 889.11080 843.04443 0.0066915125 -0.22420 333.000 0.154167 491.091 307.599 0.01764470598 0.06341567946 0.0010703763 0.0024300392 2396249.702 2376075.146 2390444.012 771.91626 857.52802 838.66912 0.0067004155 20.85334 334.000 0.154630 490.784 307.475 0.01753288068 0.06366546278 0.0010652614 0.0024437762 2391000.083 2371066.782 2385115.777 783.38274 825.81832 834.40653 0.0067090376 41.21756 335.000 0.155093 490.486 307.355 0.01742023214 0.06391210933 0.0010600334 0.0024573231 2385901.529 2366210.737 2379940.486 794.81531 794.05597 830.26630 0.0067173565 60.82020 336.000 0.155556 490.196 307.241 0.01730678503 0.06415559376 0.0010546939 0.0024706759 2380954.043 2361506.902 2374918.165 806.21188 762.24686 826.24844 0.0067253697 79.65959 337.000 0.156019 489.914 307.131 0.01719256378 0.06439589119 0.0010492445 0.0024838304 2376157.622 2356955.163 2370048.832 817.57033 730.39687 822.35298 0.0067330748 97.73414 338.000 0.156482 489.640 307.026 0.01707759267 0.06463297719 0.0010436868 0.0024967827 2371512.253 2352555.397 2365332.492 828.88850 698.51178 818.57991 0.0067404695 115.04240 339.000 0.156945 489.376 306.925 0.01696189577 0.06486682771 0.0010380226 0.0025095288 2367017.917 2348307.479 2360769.145 840.16422 666.59734 814.92923 0.0067475514 131.58301 340.001 0.157408 489.119 306.830 0.01684549696 0.06509741911 0.0010322537 0.0025220648 2362674.588 2344211.276 2356358.782 851.39529 634.65925 811.40094 0.0067543184 147.35473 341.001 0.157871 488.872 306.739 0.01672841994 0.06532472809 0.0010263816 0.0025343869 2358482.234 2340266.655 2352101.387 862.57948 602.70315 807.99502 0.0067607686 162.35644 342.001 0.158334 488.633 306.653 0.01661068824 0.06554873168 0.0010204083 0.0025464914 2354440.819 2336473.477 2347996.938 873.71455 570.73463 804.71146 0.0067668997 176.58709 343.001 0.158797 488.402 306.572 0.01649232523 0.06576940721 0.0010143356 0.0025583746 2350550.301 2332831.602 2344045.409 884.79823 538.75925 801.55024 0.0067727102 190.04576 344.001 0.159260 488.180 306.495 0.01637335410 0.06598673229 0.0010081653 0.0025700328 2346810.638 2329340.886 2340246.768 895.82822 506.78252 798.51133 0.0067781980 202.73162 345.001 0.159723 487.967 306.423 0.01625379788 0.06620068480 0.0010018992 0.0025814625 2343221.781 2326001.187 2336600.980 906.80220 474.80990 795.59470 0.0067833617 214.64395 346.001 0.160186 487.763 306.356 0.01613367945 0.06641124283 0.0009955394 0.0025926602 2339783.683 2322812.358 2333108.008 917.71784 442.84682 792.80032 0.0067881996 225.78211 347.001 0.160649 487.568 306.294 0.01601302154 0.06661838470 0.0009890876 0.0026036225 2336496.292 2319774.254 2329767.812 928.57276 410.89867 790.12816 0.0067927102 236.14557 348.001 0.161112 487.381 306.236 0.01589184675 0.06682208889 0.0009825460 0.0026143461 2333359.556 2316886.729 2326580.349 939.36460 378.97080 787.57819 0.0067968921 245.73389 349.001 0.161575 487.203 306.183 0.01577017751 0.06702233408 0.0009759165 0.0026248277 2330373.424 2314149.637 2323545.577 950.09094 347.06853 785.15037 0.0068007442 254.54672 350.001 0.162038 487.034 306.135 0.01564803614 0.06721909906 0.0009692011 0.0026350641 2327537.843 2311562.834 2320663.453 960.74937 315.19715 782.84468 0.0068042652 262.58381 351.001 0.162501 486.873 306.091 0.01552544484 0.06741236276 0.0009624018 0.0026450521 2324852.763 2309126.176 2317933.933 971.33745 283.36191 780.66106 0.0068074540 269.84500 352.002 0.162964 486.722 306.052 0.01540242568 0.06760210423 0.0009555208 0.0026547888 2322318.132 2306839.520 2315356.974 981.85272 251.56805 778.59949 0.0068103096 276.33020 353.002 0.163427 486.579 306.018 0.01527900062 0.06778830257 0.0009485601 0.0026642712 2319933.903 2304702.727 2312932.535 992.29269 219.82076 776.65994 0.0068128313 282.03945 354.002 0.163890 486.446 305.988 0.01515519151 0.06797093697 0.0009415218 0.0026734964 2317700.028 2302715.657 2310660.575 1002.65489 188.12523 774.84237 0.0068150182 286.97283 355.002 0.164353 486.321 305.964 0.01503102011 0.06814998667 0.0009344082 0.0026824615 2315616.464 2300878.174 2308541.058 1012.93678 156.48662 773.14676 0.0068168697 291.13054 356.002 0.164816 486.205 305.943 0.01490650806 0.06832543093 0.0009272213 0.0026911639 2313683.170 2299190.145 2306573.947 1023.13586 124.91006 771.57307 0.0068183852 294.51286 357.002 0.165279 486.098 305.928 0.01478167693 0.06849724902 0.0009199633 0.0026996009 2311900.106 2297651.437 2304759.209 1033.24957 93.40066 770.12128 0.0068195642 297.12013 358.002 0.165742 486.000 305.917 0.01465654823 0.06866542021 0.0009126365 0.0027077699 2310267.239 2296261.924 2303096.816 1043.27535 61.96354 768.79137 0.0068204064 298.95282 359.002 0.166205 485.911 305.911 0.01453114335 0.06882992377 0.0009052431 0.0027156684 2308784.538 2295021.479 2301586.740 1053.21065 30.60378 767.58331 0.0068209115 300.01145 360.000 0.166667 485.832 305.909 0.01440575531 0.06899039557 0.0008978015 0.0027232779 2307454.693 2293932.177 2300231.730 1063.03170 -0.60608 766.49930 0.0068210794 300.29685 Engine speed (Hz) = 6.0000000000 Output power (W) = 1801.7797805673 Heat into heater (W) = 6378.1901925522 Heat to regenerator (W) = -3.6364789229 Heat removal from cooler (W) = 4598.9957819619 Approximate Pumping loss (W) = -553.0213954115 Thermal efficiency (%) = 28.2490757750 The average engine pressure (Pa) = 2977200.2155760066 The exp space work per cycle (J) = 1062.4313024310 The comp space work per cycle (J) = -762.1346723365 The net work per cycle (J) = 300.2966300945 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6389.0454267208 The expansion work for Vmin-to-Vmax (J) = 6689.3420568153 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 486.179 306.113 0.01442053447 0.06893179357 0.0008977962 0.0027232832 2311488.467 2293508.980 2301924.263 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.001 0.000397 486.107 306.118 0.01429436536 0.06909003336 0.0008902737 0.0027306367 2310280.526 2292619.864 2300685.624 9.74683 -31.28686 -0.99091 0.0068209104 -0.51966 2.002 0.000794 486.043 306.127 0.01416798233 0.06924453331 0.0008826914 0.0027377125 2309222.395 2291878.830 2299599.688 19.39526 -62.48114 -1.85966 0.0068204039 -1.81140 3.002 0.001191 485.989 306.142 0.01404140682 0.06939527158 0.0008750515 0.0027445086 2308314.083 2291285.750 2298666.470 28.94264 -93.57770 -2.60623 0.0068195601 -3.87440 4.002 0.001588 485.943 306.160 0.01391466020 0.06954222626 0.0008673565 0.0027510227 2307555.606 2290840.502 2297885.992 38.38631 -124.57142 -3.23062 0.0068183792 -6.70772 5.000 0.001984 485.907 306.183 0.01378808362 0.06968501956 0.0008596282 0.0027572377 2306948.331 2290543.530 2297259.667 47.70022 -155.37952 -3.73168 0.0068168659 -10.30031 6.001 0.002381 485.879 306.211 0.01366105910 0.06982435054 0.0008518299 0.0027631830 2306489.219 2290393.216 2296784.365 56.92873 -186.15250 -4.11192 0.0068150129 -14.66923 7.001 0.002778 485.861 306.244 0.01353392737 0.06995983155 0.0008439835 0.0027688408 2306180.024 2290390.382 2296461.898 66.04548 -216.80729 -4.36989 0.0068128243 -19.80521 8.002 0.003175 485.851 306.281 0.01340670973 0.07009144016 0.0008360914 0.0027742092 2306020.788 2290534.916 2296292.309 75.04778 -247.33877 -4.50556 0.0068103006 -25.70699 9.002 0.003572 485.850 306.322 0.01327942745 0.07021915379 0.0008281560 0.0027792868 2306011.558 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222.70830 2164.27700 1191.72380 0.0060191639 -1748.81694 287.001 0.113889 513.523 318.646 0.02143998046 0.04905042253 0.0011638963 0.0016738019 2800021.940 2764006.166 2798679.454 233.98458 2143.14396 1182.12404 0.0060376982 -1697.43025 288.001 0.114286 512.907 318.292 0.02139653807 0.04940160422 0.0011650371 0.0016910967 2788264.061 2752261.074 2786793.900 245.28717 2121.59122 1172.61560 0.0060561338 -1646.53978 289.002 0.114683 512.295 317.943 0.02135091920 0.04975195075 0.0011660344 0.0017084308 2776625.688 2740647.313 2775024.663 256.61564 2099.62828 1163.20021 0.0060744652 -1596.15627 290.002 0.115080 511.688 317.599 0.02130315531 0.05010137684 0.0011668877 0.0017257989 2765108.631 2729166.491 2763373.821 267.96954 2077.26462 1153.87953 0.0060926866 -1546.29018 291.000 0.115476 511.088 317.261 0.02125340619 0.05044892307 0.0011675953 0.0017431518 2753743.165 2717848.541 2751872.256 279.31970 2054.56745 1144.67828 0.0061107471 -1497.07530 292.001 0.115873 510.490 316.928 0.02120145216 0.05079626384 0.0011681605 0.0017605720 2742473.545 2706637.741 2740463.785 290.72293 2031.43145 1135.55151 0.0061287324 -1448.27295 293.001 0.116270 509.898 316.600 0.02114744786 0.05114244121 0.0011685811 0.0017780103 2731330.213 2695564.201 2729179.433 302.15003 2007.92273 1126.52402 0.0061465913 -1400.01772 294.002 0.116667 509.311 316.277 0.02109142500 0.05148737821 0.0011688570 0.0017954613 2720314.687 2684629.206 2718020.948 313.60043 1984.05051 1117.59724 0.0061643183 -1352.31898 295.002 0.117064 508.729 315.960 0.02103341527 0.05183099987 0.0011689881 0.0018129199 2709428.413 2673833.966 2706990.002 325.07350 1959.82393 1108.77248 0.0061819080 -1305.18585 296.002 0.117461 508.152 315.648 0.02097345039 0.05217323314 0.0011689744 0.0018303806 2698672.772 2663179.618 2696088.190 336.56858 1935.25205 1100.05103 0.0061993550 -1258.62718 297.000 0.117857 507.582 315.341 0.02091172032 0.05251315043 0.0011688165 0.0018477942 2688075.673 2652693.533 2685344.001 348.05594 1910.40704 1091.45568 0.0062166107 -1212.76664 298.001 0.118254 507.016 315.040 0.02084794487 0.05285239940 0.0011685136 0.0018652433 2677584.845 2642323.752 2674704.621 359.59285 1885.17232 1082.94417 0.0062337569 -1167.38095 299.001 0.118651 506.456 314.743 0.02078230911 0.05319005241 0.0011680660 0.0018826786 2667228.405 2632097.873 2664198.731 371.14957 1859.61904 1074.53946 0.0062507447 -1122.59476 300.002 0.119048 505.902 314.452 0.02071484455 0.05352604386 0.0011674739 0.0019000948 2657007.485 2622016.774 2653827.645 382.72528 1833.75598 1066.24259 0.0062675688 -1078.41594 301.002 0.119445 505.354 314.165 0.02064558264 0.05386030990 0.0011667375 0.0019174866 2646923.158 2612081.274 2643592.616 394.31913 1807.59180 1058.05457 0.0062842241 -1034.85212 302.000 0.119841 504.813 313.885 0.02057473583 0.05419195326 0.0011658593 0.0019348050 2637001.322 2602316.609 2633520.093 405.90095 1781.20213 1049.99655 0.0063006643 -992.01807 303.000 0.120238 504.277 313.609 0.02050197747 0.05452258860 0.0011648352 0.0019521321 2627192.827 2592674.170 2623560.330 417.52831 1754.46217 1042.02874 0.0063169674 -949.70462 304.001 0.120635 503.747 313.339 0.02042751538 0.05485131738 0.0011636676 0.0019694190 2617523.812 2583179.455 2613740.003 429.17102 1727.44664 1034.17248 0.0063330866 -908.02767 305.001 0.121032 503.223 313.073 0.02035138056 0.05517808243 0.0011623568 0.0019866603 2607995.137 2573833.071 2604060.125 440.82805 1700.16389 1026.42858 0.0063490171 -866.99392 306.002 0.121429 502.706 312.813 0.02027360386 0.05550282813 0.0011609032 0.0020038508 2598607.613 2564635.578 2594521.652 452.49837 1672.62218 1018.79780 0.0063647540 -826.60991 307.002 0.121826 502.195 312.557 0.02019421599 0.05582550041 0.0011593073 0.0020209852 2589362.002 2555587.487 2585125.485 464.18086 1644.82970 1011.28086 0.0063802925 -786.88191 308.000 0.122222 501.692 312.308 0.02011345342 0.05614524197 0.0011575740 0.0020380155 2580281.771 2546711.494 2575895.603 475.84495 1616.86545 1003.89696 0.0063955895 -747.91358 309.001 0.122619 501.195 312.062 0.02003093857 0.05646361663 0.0011556952 0.0020550223 2571321.734 2537963.198 2566786.190 487.54835 1588.59619 996.60943 0.0064107175 -709.51398 310.001 0.123016 500.704 311.822 0.01994690363 0.05677976450 0.0011536757 0.0020719575 2562505.631 2529365.590 2557821.489 499.26044 1560.10016 989.43767 0.0064256332 -671.78804 311.001 0.123413 500.221 311.587 0.01986137865 0.05709363723 0.0011515160 0.0020888159 2553834.053 2520919.021 2549002.209 510.97994 1531.38521 982.38224 0.0064403319 -634.74123 312.002 0.123810 499.744 311.357 0.01977439347 0.05740518776 0.0011492168 0.0021055923 2545307.552 2512623.806 2540329.012 522.70557 1502.45908 975.44369 0.0064548091 -598.37886 313.002 0.124207 499.274 311.132 0.01968597778 0.05771437032 0.0011467788 0.0021222817 2536926.642 2504480.224 2531802.521 534.43600 1473.32944 968.62249 0.0064690605 -562.70603 314.000 0.124603 498.812 310.913 0.01959638902 0.05802037077 0.0011442095 0.0021388372 2528712.361 2496508.462 2523444.236 546.14030 1444.07798 961.93587 0.0064830467 -527.81488 315.001 0.125000 498.357 310.698 0.01950520394 0.05832469135 0.0011414966 0.0021553374 2520623.664 2488668.476 2515212.485 557.87618 1414.56445 955.35047 0.0064968340 -493.53394 316.001 0.125397 497.909 310.488 0.01941267609 0.05862651413 0.0011386472 0.0021717354 2512681.892 2480980.776 2507129.065 569.61264 1384.86989 948.88373 0.0065103826 -459.95673 317.002 0.125794 497.468 310.283 0.01931883435 0.05892579813 0.0011356623 0.0021880262 2504887.422 2473445.520 2499194.444 581.34820 1355.00163 942.53603 0.0065236885 -427.08766 318.002 0.126191 497.034 310.083 0.01922370737 0.05922250344 0.0011325427 0.0022042047 2497240.606 2466062.844 2491409.055 593.08135 1324.96693 936.30772 0.0065367475 -394.93093 319.002 0.126588 496.608 309.888 0.01912732360 0.05951659122 0.0011292895 0.0022202662 2489741.764 2458832.855 2483773.301 604.81051 1294.77295 930.19912 0.0065495556 -363.49061 320.000 0.126984 496.190 309.698 0.01902995867 0.05980729293 0.0011259122 0.0022361655 2482409.519 2451773.275 2476306.219 616.50458 1264.50340 924.22545 0.0065620777 -332.84704 321.001 0.127381 495.779 309.513 0.01893114881 0.06009603999 0.0011223948 0.0022519784 2475207.108 2444848.511 2468970.436 628.22099 1234.01241 918.35683 0.0065743732 -302.84919 322.001 0.127778 495.376 309.333 0.01883116616 0.06038205907 0.0011187469 0.0022676595 2468153.475 2438076.627 2461785.310 639.92853 1203.38316 912.60873 0.0065864064 -273.57891 323.002 0.128175 494.981 309.157 0.01873003830 0.06066531517 0.0011149695 0.0022832041 2461248.841 2431457.646 2454751.126 651.62551 1172.62250 906.98138 0.0065981736 -245.03963 324.002 0.128572 494.593 308.987 0.01862779261 0.06094577419 0.0011110637 0.0022986075 2454493.405 2424991.574 2447868.144 663.31020 1141.73722 901.47499 0.0066096713 -217.23462 325.000 0.128968 494.214 308.822 0.01852471788 0.06122270714 0.0011070411 0.0023138268 2447903.796 2418694.109 2441153.366 674.95144 1110.81224 896.10317 0.0066208679 -190.23424 326.001 0.129365 493.842 308.661 0.01842032041 0.06149748028 0.0011028826 0.0023289341 2441446.890 2412533.418 2434573.091 686.60623 1079.69801 890.83895 0.0066318167 -163.90511 327.001 0.129762 493.477 308.505 0.01831488586 0.06176935901 0.0010985994 0.0023438863 2435139.656 2406525.555 2428144.659 698.24331 1048.47903 885.69620 0.0066424856 -138.31918 328.001 0.130159 493.121 308.354 0.01820844073 0.06203831240 0.0010941928 0.0023586787 2428982.214 2400670.465 2421868.241 709.86083 1017.16179 880.67507 0.0066528715 -113.47914 329.002 0.130556 492.773 308.208 0.01810101131 0.06230431020 0.0010896643 0.0023733069 2422974.672 2394968.078 2415743.989 721.45688 985.75272 875.77567 0.0066629712 -89.38758 330.002 0.130953 492.433 308.067 0.01799262369 0.06256732285 0.0010850151 0.0023877664 2417117.119 2389418.315 2409772.038 733.02953 954.25815 870.99811 0.0066727815 -66.04691 331.000 0.131349 492.102 307.931 0.01788358024 0.06282667033 0.0010802588 0.0024020171 2411423.819 2384034.489 2403966.973 744.54776 922.76402 866.35406 0.0066822759 -43.51539 332.001 0.131746 491.778 307.799 0.01777335586 0.06308363422 0.0010753730 0.0024161265 2405866.081 2378789.309 2398299.578 756.06776 891.11746 861.82014 0.0066914994 -21.68141 333.001 0.132143 491.463 307.672 0.01766225020 0.06333752807 0.0010703708 0.0024300541 2400458.523 2373696.453 2392784.791 767.55839 859.40407 857.40831 0.0067004250 -0.60486 334.002 0.132540 491.156 307.550 0.01755028852 0.06358832469 0.0010652539 0.0024437958 2395201.184 2368755.804 2387422.688 779.01759 827.62995 853.11863 0.0067090498 19.71232 335.002 0.132937 490.857 307.433 0.01743749587 0.06383599742 0.0010600239 0.0024573473 2390094.093 2363967.237 2382213.329 790.44329 795.80114 848.95114 0.0067173712 39.26832 336.002 0.133334 490.566 307.321 0.01732389711 0.06408052009 0.0010546822 0.0024707045 2385137.271 2359330.623 2377156.766 801.83337 763.92362 844.90589 0.0067253867 58.06143 337.000 0.133730 490.285 307.213 0.01720980597 0.06432126307 0.0010492445 0.0024838304 2380342.647 2354856.929 2372265.199 813.15716 732.08377 840.99264 0.0067330748 76.04563 338.001 0.134127 490.011 307.111 0.01709467068 0.06455941704 0.0010436848 0.0024967873 2375686.009 2350523.421 2367513.954 824.46969 700.12665 837.19164 0.0067404721 93.31027 339.001 0.134524 489.746 307.013 0.01697880264 0.06479434516 0.0010380185 0.0025095379 2371179.652 2346341.442 2362915.598 835.74012 668.13842 833.51296 0.0067475564 109.80761 340.002 0.134921 489.489 306.919 0.01686222598 0.06502602295 0.0010322474 0.0025220782 2366823.567 2342310.840 2358470.145 846.96625 636.12485 829.95659 0.0067543256 125.53640 341.002 0.135318 489.241 306.831 0.01674496463 0.06525442630 0.0010263731 0.0025344045 2362617.738 2338431.464 2354177.602 858.14582 604.09168 826.52256 0.0067607776 140.49548 342.000 0.135714 489.002 306.747 0.01662734019 0.06547896853 0.0010204127 0.0025464828 2358572.173 2334712.359 2350048.207 869.24860 572.12530 823.21904 0.0067668954 154.64905 343.000 0.136111 488.771 306.668 0.01650878214 0.06570076027 0.0010143378 0.0025583703 2354666.418 2331134.586 2346061.100 880.32839 540.06989 820.02936 0.0067727081 168.06764 344.001 0.136508 488.548 306.594 0.01638961013 0.06591920710 0.0010081653 0.0025700328 2350910.851 2327707.567 2342226.893 891.35477 508.01174 816.96199 0.0067781980 180.71371 345.001 0.136905 488.335 306.524 0.01626984743 0.06613428605 0.0010018969 0.0025814666 2347305.442 2324431.143 2338545.574 902.32540 475.95640 814.01694 0.0067833635 192.58650 346.002 0.137302 488.129 306.459 0.01614951716 0.06634597441 0.0009955347 0.0025926682 2343850.162 2321305.154 2335017.129 913.23793 443.90937 811.19418 0.0067882029 203.68538 347.002 0.137699 487.933 306.399 0.01602864229 0.06655424965 0.0009890806 0.0026036342 2340544.978 2318329.439 2331641.539 924.08998 411.87613 808.49371 0.0067927149 214.00978 348.000 0.138095 487.746 306.344 0.01590755208 0.06675857779 0.0009825531 0.0026143347 2337397.615 2315510.767 2328426.711 934.85205 379.94271 805.92185 0.0067968878 223.53618 349.001 0.138492 487.567 306.293 0.01578565761 0.06695996869 0.0009759213 0.0026248202 2334392.146 2312834.743 2325356.388 945.57607 347.95322 803.46559 0.0068007415 232.31233 350.001 0.138889 487.397 306.247 0.01566328658 0.06715788000 0.0009692035 0.0026350604 2331536.673 2310308.516 2322438.860 956.23236 315.99370 801.13157 0.0068042639 240.31292 351.001 0.139286 487.235 306.206 0.01554046142 0.06735228982 0.0009624018 0.0026450521 2328831.165 2307931.928 2319674.106 966.81845 284.06949 798.91976 0.0068074540 247.53778 352.002 0.139683 487.083 306.169 0.01541720446 0.06754317635 0.0009555183 0.0026547923 2326275.592 2305704.825 2317062.107 977.33185 252.18589 796.83016 0.0068103106 253.98680 353.002 0.140080 486.939 306.137 0.01529353791 0.06773051789 0.0009485551 0.0026642780 2323869.923 2303627.053 2314602.842 987.77008 220.34819 794.86275 0.0068128330 259.65999 354.000 0.140476 486.805 306.110 0.01516979681 0.06791383438 0.0009415320 0.0026734833 2321619.627 2301703.131 2312301.912 998.10461 188.64164 793.02201 0.0068150153 264.54608 355.001 0.140873 486.679 306.087 0.01504537817 0.06809403010 0.0009344159 0.0026824520 2319513.315 2299923.194 2310147.682 1008.38511 156.91135 791.29862 0.0068168679 268.66990 356.001 0.141270 486.562 306.069 0.01492061588 0.06827061607 0.0009272265 0.0026911577 2317556.836 2298292.140 2308146.140 1018.58284 125.24265 789.69739 0.0068183842 272.01841 357.002 0.141667 486.453 306.055 0.01479553176 0.06844357073 0.0009199659 0.0026995979 2315750.173 2296809.827 2306297.277 1028.69524 93.64076 788.21830 0.0068195638 274.59194 358.002 0.142064 486.354 306.046 0.01467014755 0.06861287251 0.0009126365 0.0027077699 2314093.313 2295476.113 2304601.086 1038.71971 62.11084 786.86135 0.0068204064 276.39092 359.002 0.142461 486.264 306.042 0.01454448491 0.06877849984 0.0009052404 0.0027156712 2312586.246 2294290.861 2303057.564 1048.65366 30.65808 785.62653 0.0068209116 277.41587 360.000 0.142857 486.182 306.043 0.01441888291 0.06894002786 0.0008977988 0.0027232806 2311232.198 2293256.360 2301670.023 1058.46981 -0.63347 784.51650 0.0068210794 277.66771 Engine speed (Hz) = 7.0000000000 Output power (W) = 1943.6715992544 Heat into heater (W) = 7409.2886642889 Heat to regenerator (W) = -4.4342805550 Heat removal from cooler (W) = 5491.6154722024 Approximate Pumping loss (W) = -850.8342093407 Thermal efficiency (%) = 26.2329042277 The average engine pressure (Pa) = 2977883.0742515847 The exp space work per cycle (J) = 1057.8412918408 The comp space work per cycle (J) = -780.1739205187 The net work per cycle (J) = 277.6673713221 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6402.3679781715 The expansion work for Vmin-to-Vmax (J) = 6680.0353494936 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 486.575 306.260 0.01443515010 0.06887505426 0.0008977800 0.0027232994 2315756.397 2292705.667 2303551.170 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.002 0.000348 486.501 306.267 0.01430887271 0.06903431293 0.0008902656 0.0027306445 2314521.968 2291879.284 2302277.362 9.73070 -31.34580 -1.01905 0.0068209100 -0.55772 2.002 0.000695 486.436 306.279 0.01418238013 0.06918983315 0.0008826914 0.0027377125 2313436.515 2291199.844 2301156.252 19.36322 -62.59932 -1.91593 0.0068204039 -1.88525 3.001 0.001042 486.380 306.295 0.01405569398 0.06934159223