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 0.0008750598 0.0027445014 2312500.075 2290667.206 2300187.882 28.89489 -93.75536 -2.69063 0.0068195612 -3.98179 4.000 0.001389 486.333 306.316 0.01392883581 0.06948956735 0.0008673732 0.0027510090 2311712.689 2290281.230 2299372.300 38.32302 -124.80874 -3.34310 0.0068183821 -6.84642 5.003 0.001737 486.294 306.341 0.01380146094 0.06963414554 0.0008596114 0.0027572509 2311072.783 2290041.299 2298707.870 47.67165 -155.84327 -3.87464 0.0068168622 -10.48975 6.002 0.002084 486.265 306.371 0.01367432295 0.06977447279 0.0008518214 0.0027631893 2310584.088 2289948.657 2298198.473 56.88432 -186.67541 -4.28216 0.0068150107 -14.88976 7.001 0.002431 486.244 306.406 0.01354707750 0.06991094686 0.0008439835 0.0027688408 2310244.612 2290002.271 2297842.043 65.98535 -217.38930 -4.56730 0.0068128243 -20.05466 8.001 0.002778 486.233 306.445 0.01341974605 0.07004354442 0.0008360999 0.0027742036 2310054.425 2290202.008 2297638.655 74.97200 -247.97975 -4.73001 0.0068103035 -25.98324 9.003 0.003126 486.231 306.488 0.01329198282 0.07017260719 0.0008281502 0.0027792903 2310013.700 2290548.947 2297588.464 83.86694 -278.52916 -4.77016 0.0068074406 -32.69456 10.002 0.003473 486.237 306.537 0.01316454359 0.07029736968 0.0008201825 0.0027840702 2310122.753 2291040.965 2297691.845 92.61630 -308.85675 -4.68746 0.0068042527 -40.14866 11.002 0.003820 486.253 306.589 0.01303708273 0.07041818454 0.0008121764 0.0027885568 2310381.344 2291678.720 2297948.528 101.24306 -339.04528 -4.48211 0.0068007332 -48.36223 12.001 0.004167 486.277 306.646 0.01290962170 0.07053502768 0.0008041343 0.0027927487 2310789.571 2292462.087 2298358.614 109.74447 -369.08954 -4.15404 0.0067968830 -57.33373 13.000 0.004514 486.311 306.708 0.01278218197 0.07064787484 0.0007960587 0.0027966447 2311347.538 2293390.939 2298922.211 118.11776 -398.98429 -3.70317 0.0067927034 -67.06151 14.003 0.004862 486.353 306.774 0.01265441797 0.07075700928 0.0007879287 0.0028002535 2312057.618 2294468.454 2299641.724 126.38373 -428.80979 -3.12756 0.0067881822 -77.57513 15.002 0.005209 486.405 306.844 0.01252708554 0.07086177902 0.0007797934 0.0028035533 2312915.851 2295688.311 2300513.144 134.49209 -458.38935 -2.43042 0.0067833467 -88.81236 16.001 0.005556 486.465 306.919 0.01239983904 0.07096247847 0.0007716320 0.0028065539 2313924.192 2297053.268 2301538.448 142.46402 -487.80363 -1.61018 0.0067781859 -100.80040 17.001 0.005903 486.534 306.998 0.01227270006 0.07105908240 0.0007634470 0.0028092544 2315082.781 2298563.193 2302717.777 150.29672 -517.04733 -0.66671 0.0067727014 -113.53728 18.003 0.006251 486.613 307.082 0.01214532445 0.07115182583 0.0007552172 0.0028116604 2316395.755 2300222.931 2304055.346 158.00938 -546.19867 0.40334 0.0067668776 -127.06086 19.002 0.006598 486.701 307.171 0.01201846601 0.07124014992 0.0007469924 0.0028137573 2317855.725 2302022.803 2305543.626 165.55488 -575.08476 1.59396 0.0067607497 -141.29123 20.002 0.006945 486.797 307.263 0.01189178030 0.07132430103 0.0007387515 0.0028155520 2319466.413 2303967.229 2307186.403 172.95280 -603.78427 2.90819 0.0067543034 -156.26394 21.001 0.007292 486.902 307.360 0.01176528917 0.07140425277 0.0007304969 0.0028170437 2321227.995 2306056.059 2308983.855 180.20035 -632.29181 4.34615 0.0067475407 -171.97662 22.000 0.007639 487.017 307.462 0.01163901455 0.07147997842 0.0007222313 0.0028182322 2323140.655 2308289.138 2310936.165 187.29474 -660.60198 5.90800 0.0067404635 -188.42685 23.003 0.007987 487.140 307.568 0.01151261561 0.07155165071 0.0007139332 0.0028191191 2325210.756 2310673.361 2313049.825 194.25297 -688.79004 7.59892 0.0067330523 -205.66267 24.002 0.008334 487.273 307.678 0.01138684095 0.07161883025 0.0007056529 0.0028196990 2327426.607 2313194.852 2315312.895 201.03223 -716.68851 9.40938 0.0067253519 -223.58239 25.001 0.008681 487.414 307.792 0.01126134921 0.07168170130 0.0006973690 0.0028199748 2329794.157 2315860.069 2317731.440 207.64998 -744.37316 11.34422 0.0067173438 -242.23175 26.001 0.009028 487.564 307.911 0.01113616274 0.07174023562 0.0006890841 0.0028199464 2332313.634 2318668.813 2320305.690 214.10341 -771.83846 13.40362 0.0067090305 -261.60794 27.003 0.009376 487.724 308.034 0.01101094467 0.07179455426 0.0006807769 0.0028196124 2334993.202 2321629.582 2323043.978 220.40763 -799.15698 15.59425 0.0067003893 -281.76699 28.002 0.009723 487.892 308.162 0.01088643727 0.07184431575 0.0006724975 0.0028189748 2337817.719 2324725.122 2325930.826 226.52360 -826.16608 17.90372 0.0066914723 -302.59002 29.002 0.010070 488.069 308.293 0.01076230299 0.07188965266 0.0006642247 0.0028180333 2340794.940 2327963.476 2328974.150 232.46691 -852.93890 20.33838 0.0066822580 -324.13078 30.001 0.010417 488.255 308.429 0.01063856471 0.07193053450 0.0006559609 0.0028167882 2343925.160 2331344.353 2332174.243 238.23475 -879.46970 22.89846 0.0066727491 -346.38604 31.000 0.010764 488.450 308.569 0.01051524551 0.07196692998 0.0006477087 0.0028152399 2347208.697 2334867.425 2335531.424 243.82434 -905.75266 25.58420 0.0066629486 -369.35246 32.003 0.011112 488.655 308.714 0.01039201520 0.07199889213 0.0006394469 0.0028133830 2350656.024 2338543.085 2339056.397 249.24818 -931.85656 28.40418 0.0066528298 -393.09583 33.002 0.011459 488.867 308.863 0.01026960554 0.07202620363 0.0006312254 0.0028112288 2354247.712 2342349.773 2342729.292 254.47228 -957.62537 31.34250 0.0066424542 -417.47613 34.001 0.011806 489.089 309.016 0.01014768552 0.07204892762 0.0006230230 0.0028087730 2357993.881 2346297.326 2346560.456 259.50963 -983.12839 34.40743 0.0066317960 -442.55689 35.001 0.012153 489.320 309.173 0.01002627922 0.07206702640 0.0006148423 0.0028060164 2361895.032 2350385.102 2350550.414 264.35730 -1008.35939 37.59940 0.0066208587 -468.33432 36.003 0.012501 489.560 309.334 0.00990506362 0.07208049028 0.0006066621 0.0028029507 2365963.699 2354624.648 2354712.017 269.02541 -1033.38338 40.92868 0.0066096128 -494.88179 37.002 0.012848 489.808 309.499 0.00978476063 0.07208919276 0.0005985320 0.0027995943 2370177.315 2358990.396 2359022.269 273.48388 -1058.04966 44.37688 0.0065981263 -522.04268 38.002 0.013195 490.066 309.668 0.00966504774 0.07209311071 0.0005904310 0.0027959398 2374548.627 2363492.178 2363494.518 277.74254 -1082.42265 47.95468 0.0065863708 -549.88814 39.001 0.013542 490.332 309.841 0.00954595015 0.07209227913 0.0005823615 0.0027919885 2379078.411 2368134.843 2368126.441 281.80080 -1106.49854 51.64578 0.0065743500 -578.41389 40.000 0.013889 490.607 310.021 0.00942745702 0.07208710233 0.0005743260 0.0027877414 2383754.681 2372944.834 2372902.840 285.67080 -1130.29420 55.39674 0.0065620674 -607.61555 41.003 0.014237 490.890 310.207 0.00930924106 0.07207751396 0.0005663038 0.0027831865 2388586.761 2377936.707 2377838.917 289.36083 -1153.87348 59.21741 0.0065494903 -637.57568 42.002 0.014584 491.181 310.398 0.00919200795 0.07206352661 0.0005583436 0.0027783512 2393547.106 2383080.832 2382906.934 292.84688 -1177.09398 63.08753 0.0065366948 -668.11744 43.001 0.014931 491.479 310.595 0.00907544391 0.07204508439 0.0005504247 0.0027732243 2398649.793 2388390.720 2388121.166 296.13730 -1200.01721 67.01962 0.0065236491 -699.32120 44.001 0.015278 491.786 310.798 0.00895957555 0.07202215649 0.0005425495 0.0027678075 2403895.072 2393865.942 2393481.776 299.22973 -1222.63663 71.01535 0.0065103570 -731.18211 45.003 0.015626 492.101 311.007 0.00884409865 0.07199462875 0.0005346979 0.0027620854 2409298.822 2399522.651 2399004.922 302.12996 -1245.00970 75.08825 0.0064967833 -763.78982 46.002 0.015973 492.422 311.221 0.00872970347 0.07196263227 0.0005269173 0.0027560928 2414830.062 2405328.049 2404658.883 304.81917 -1267.00145 79.21673 0.0064830101 -796.95182 47.002 0.016320 492.752 311.441 0.00861608377 0.07192606852 0.0005191876 0.0027498154 2420504.139 2411297.899 2410459.290 307.30391 -1288.67030 83.41425 0.0064690030 -830.75564 48.001 0.016667 493.090 311.667 0.00850326635 0.07188491235 0.0005115110 0.0027432552 2426321.036 2417431.962 2416406.081 309.58218 -1310.00990 87.68277 0.0064547662 -865.19595 49.000 0.017014 493.435 311.898 0.00839127814 0.07183913928 0.0005038900 0.0027364140 2432280.706 2423730.009 2422499.161 311.65204 -1331.01391 92.02434 0.0064403040 -900.26725 50.003 0.017362 493.788 312.136 0.00827982728 0.07178857340 0.0004963051 0.0027292732 2438400.866 2430210.672 2428756.596 313.51667 -1351.73502 96.45388 0.0064255783 -936.06771 51.002 0.017709 494.149 312.378 0.00816958166 0.07173348187 0.0004888022 0.0027218758 2444646.241 2436836.473 2435142.272 315.16355 -1372.04775 100.94815 0.0064106780 -972.38581 52.001 0.018056 494.517 312.626 0.00806024732 0.07167370314 0.0004813617 0.0027142041 2451034.087 2443625.562 2441673.782 316.59661 -1392.00572 105.52203 0.0063955659 -1009.31765 53.001 0.018403 494.892 312.880 0.00795185200 0.07160921474 0.0004739860 0.0027062604 2457564.257 2450577.688 2448350.923 317.81417 -1411.60252 110.17787 0.0063802463 -1046.85719 54.003 0.018751 495.276 313.139 0.00784411550 0.07153978828 0.0004666562 0.0026980229 2464256.015 2457713.327 2455193.337 318.81719 -1430.88654 114.93189 0.0063646791 -1085.10905 55.002 0.019098 495.666 313.403 0.00773768524 0.07146580108 0.0004594167 0.0026895417 2471070.709 2464991.188 2462161.447 319.59836 -1449.74047 119.75927 0.0063489584 -1123.84706 56.002 0.019445 496.064 313.673 0.00763227864 0.07138703930 0.0004522486 0.0026807959 2478027.150 2472431.239 2469274.426 320.15942 -1468.21372 124.67614 0.0063330445 -1163.17379 57.001 0.019792 496.468 313.948 0.00752792436 0.07130348220 0.0004451540 0.0026717882 2485125.104 2480033.158 2476531.967 320.49897 -1486.29974 129.68516 0.0063169422 -1203.08263 58.000 0.020139 496.880 314.227 0.00742465127 0.07121510950 0.0004381352 0.0026625214 2492364.310 2487796.598 2483933.740 320.61568 -1503.99196 134.78907 0.0063006566 -1243.56679 59.003 0.020487 497.301 314.513 0.00732219570 0.07112162580 0.0004311742 0.0026529705 2499765.961 2495744.252 2491501.336 320.50768 -1521.33300 140.00580 0.0062841448 -1284.73846 60.002 0.020834 497.727 314.804 0.00722117588 0.07102354901 0.0004243134 0.0026431933 2507287.210 2503830.040 2499190.874 320.17441 -1538.21655 145.30827 0.0062675067 -1326.35389 61.001 0.021181 498.160 315.099 0.00712132538 0.07092059871 0.0004175346 0.0026331656 2514948.795 2512076.133 2507023.477 319.61480 -1554.68636 150.71428 0.0062507002 -1368.52331 62.001 0.021528 498.600 315.399 0.00702267401 0.07081275669 0.0004108399 0.0026228906 2522750.362 2520482.061 2514998.696 318.82785 -1570.73571 156.22684 0.0062337305 -1411.23927 63.003 0.021876 499.049 315.705 0.00692497286 0.07069967326 0.0004042125 0.0026123406 2530714.614 2529072.234 2523139.649 317.80939 -1586.40230 161.86542 0.0062165530 -1454.61958 64.002 0.022223 499.503 316.015 0.00682881377 0.07058198127 0.0003976923 0.0026015795 2538795.373 2537796.738 2531399.038 316.56443 -1601.58932 167.60075 0.0061992718 -1498.40713 65.002 0.022570 499.963 316.331 0.00673394471 0.07045934646 0.0003912623 0.0025905807 2547014.886 2546679.446 2539799.505 315.08963 -1616.33564 173.45211 0.0061818430 -1542.71781 66.001 0.022917 500.431 316.650 0.00664039640 0.07033175314 0.0003849244 0.0025793474 2555372.689 2555719.730 2548340.470 313.38436 -1630.63447 179.42276 0.0061642719 -1587.54348 67.000 0.023264 500.905 316.975 0.00654819979 0.07019918631 0.0003786806 0.0025678832 2563868.288 2564916.921 2557021.317 311.44806 -1644.47900 185.51605 0.0061465637 -1632.87578 68.003 0.023612 501.386 317.305 0.00645712635 0.07006122812 0.0003725150 0.0025561574 2572526.232 2574297.481 2565867.011 309.27370 -1657.90030 191.75345 0.0061286724 -1678.83897 69.002 0.023959 501.873 317.639 0.00636773095 0.06991865797 0.0003664652 0.0025442410 2581296.203 2583806.730 2574826.019 306.87342 -1670.81439 198.10258 0.0061107062 -1725.16015 70.001 0.024306 502.367 317.977 0.00627978144 0.06977107401 0.0003605150 0.0025321043 2590202.292 2593470.579 2583922.828 304.24106 -1683.25365 204.58465 0.0060926192 -1771.96176 71.001 0.024653 502.866 318.320 0.00619330961 0.06961846452 0.0003546662 0.0025197509 2599243.871 2603288.155 2593156.662 301.37650 -1695.21122 211.20320 0.0060744171 -1819.23466 72.003 0.025001 503.373 318.668 0.00610810480 0.06946035712 0.0003489043 0.0025071482 2608446.918 2613287.481 2602553.903 298.27043 -1706.71259 217.98149 0.0060560524 -1867.10775 73.002 0.025348 503.885 319.020 0.00602468891 0.06929765061 0.0003432640 0.0024943723 2617757.839 2623410.098 2612059.679 294.94080 -1717.68476 224.88417 0.0060376363 -1915.29632 74.002 0.025695 504.403 319.375 0.00594284727 0.06912988911 0.0003377305 0.0024813912 2627202.149 2633683.469 2621699.889 291.37922 -1728.15462 231.93417 0.0060191217 -1963.92755 75.001 0.026042 504.926 319.735 0.00586261237 0.06895706488 0.0003323053 0.0024682090 2636779.067 2644106.479 2631473.576 287.58600 -1738.11533 239.13515 0.0060005143 -2012.99145 76.000 0.026389 505.456 320.099 0.00578401690 0.06877917129 0.0003269902 0.0024548295 2646487.775 2654677.946 2641379.735 283.56159 -1747.56001 246.49082 0.0059818197 -2062.47785 77.003 0.026737 505.993 320.468 0.00570687444 0.06859566826 0.0003217719 0.0024412176 2656355.955 2665427.722 2651446.424 279.29396 -1756.50678 254.02678 0.0059629895 -2112.52073 78.002 0.027084 506.534 320.840 0.00563166140 0.06840760614 0.0003166820 0.0024274555 2666325.984 2676292.698 2661614.676 274.80833 -1764.89738 261.70346 0.0059441374 -2162.82182 79.001 0.027431 507.080 321.216 0.00555818677 0.06821446199 0.0003117068 0.0024135086 2676425.078 2687302.156 2671912.067 270.09359 -1772.75147 269.54604 0.0059252154 -2213.51349 80.001 0.027778 507.632 321.596 0.00548648379 0.06801623416 0.0003068480 0.0023993811 2686652.236 2698454.622 2682337.375 265.15070 -1780.06225 277.55825 0.0059062291 -2264.58464 81.003 0.028126 508.191 321.980 0.00541638698 0.06781232916 0.0003020935 0.0023850359 2697036.434 2709781.290 2692919.914 259.96552 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922.70372 0.0066096467 -240.76274 325.002 0.112848 494.629 308.880 0.01854490151 0.06112726820 0.0011070323 0.0023138596 2452648.430 2415343.838 2444059.888 670.14380 1113.34534 917.28378 0.0066208918 -213.71603 326.002 0.113195 494.258 308.722 0.01844058581 0.06140258802 0.0011028780 0.0023289503 2446202.078 2409268.871 2437455.341 681.76800 1082.22780 912.00014 0.0066318283 -187.48579 327.001 0.113542 493.894 308.569 0.01833522570 0.06167504476 0.0010985994 0.0023438863 2439903.890 2403346.324 2431001.710 693.37511 1051.00288 906.83723 0.0066424856 -161.99606 328.000 0.113889 493.539 308.420 0.01822884771 0.06194460673 0.0010941976 0.0023586628 2433753.998 2397576.103 2424699.194 704.96325 1019.67712 901.79522 0.0066528605 -137.24953 329.003 0.114237 493.191 308.277 0.01812116737 0.06221200707 0.0010896610 0.0023733174 2427735.439 2391942.139 2418530.464 716.56383 988.16630 896.86024 0.0066629783 -113.18069 330.002 0.114584 492.851 308.138 0.01801282975 0.06247567859 0.0010850168 0.0023877613 2421882.906 2386476.696 2412531.135 728.10825 956.65792 892.06077 0.0066727780 -89.93028 331.001 0.114931 492.520 308.004 0.01790355277 0.06273636422 0.0010802536 0.0024020324 2416178.979 2381163.246 2406683.407 739.62790 925.06790 887.38259 0.0066822860 -67.43039 332.001 0.115278 492.197 307.876 0.01779336220 0.06299403486 0.0010753730 0.0024161265 2410623.736 2376001.658 2400987.410 751.12080 893.40250 882.82579 0.0066914994 -45.68317 333.000 0.115625 491.882 307.752 0.01768228358 0.06324866200 0.0010703763 0.0024300392 2405217.242 2370991.794 2395443.258 762.58491 861.66794 878.39047 0.0067004155 -24.69070 334.002 0.115973 491.574 307.632 0.01757001845 0.06350093813 0.0010652502 0.0024438056 2399944.614 2366119.728 2390035.732 774.05110 829.77864 874.06445 0.0067090559 -4.39767 335.002 0.116320 491.275 307.518 0.01745723723 0.06374938586 0.0010600258 0.0024573425 2394836.201 2361413.311 2384796.000 785.45136 797.92399 869.87267 0.0067173682 15.07745 336.001 0.116667 490.985 307.408 0.01734364354 0.06399470759 0.0010546900 0.0024706854 2389876.672 2356858.166 2379708.380 796.81659 766.01846 865.80257 0.0067253754 33.79238 337.000 0.117014 490.703 307.303 0.01722926216 0.06423687680 0.0010492445 0.0024838304 2385066.056 2352454.134 2374772.939 808.14465 734.06805 861.85422 0.0067330748 51.74552 338.003 0.117362 490.429 307.203 0.01711378479 0.06447655152 0.0010436747 0.0024968104 2380391.156 2348189.011 2369976.171 819.46583 701.98643 858.01680 0.0067404851 68.98383 339.002 0.117709 490.163 307.107 0.01699789959 0.06471232855 0.0010380144 0.0025095470 2375878.852 2344087.140 2365345.690 830.71288 669.96388 854.31242 0.0067475614 85.40687 340.001 0.118056 489.906 307.017 0.01688130006 0.06494487591 0.0010322495 0.0025220737 2371515.504 2340135.877 2360867.536 841.91616 637.91410 850.72989 0.0067543232 101.06400 341.001 0.118403 489.658 306.931 0.01676401029 0.06517416864 0.0010263816 0.0025343869 2367301.118 2336335.049 2356541.741 853.07343 605.84285 847.26926 0.0067607686 115.95408 342.000 0.118750 489.418 306.850 0.01664605419 0.06540018212 0.0010204127 0.0025464828 2363235.692 2332684.481 2352368.333 864.18241 573.75589 843.93053 0.0067668954 130.07605 343.002 0.119098 489.186 306.773 0.01652711283 0.06562352902 0.0010143268 0.0025583915 2359308.151 2329174.124 2348335.966 875.27261 541.56639 840.70464 0.0067727183 143.46632 344.002 0.119445 488.963 306.702 0.01640789342 0.06584290165 0.0010081608 0.0025700411 2355541.060 2325823.976 2344467.833 886.27796 509.46501 837.61013 0.0067782019 156.04708 345.001 0.119792 488.749 306.635 0.01628807854 0.06605892278 0.0010018992 0.0025814625 2351922.910 2322623.555 2340752.142 897.22805 477.36487 834.63758 0.0067833617 167.85717 346.000 0.120139 488.543 306.573 0.01616769147 0.06627156883 0.0009955440 0.0025926522 2348453.690 2319572.684 2337188.901 908.12052 445.27155 831.78699 0.0067881962 178.89591 347.003 0.120487 488.345 306.515 0.01604640607 0.06648141454 0.0009890783 0.0026036381 2345124.034 2316663.040 2333768.512 918.98412 413.09815 829.05068 0.0067927164 189.19123 348.002 0.120834 488.157 306.462 0.01592494245 0.06668723067 0.0009825413 0.0026143537 2341953.067 2313911.167 2330510.637 929.75398 381.03509 826.44438 0.0067968950 198.68347 349.001 0.121181 487.977 306.414 0.01580297574 0.06688960211 0.0009759165 0.0026248277 2338930.993 2311308.314 2327405.233 940.45898 348.99535 823.96005 0.0068007442 207.40296 350.001 0.121528 487.806 306.370 0.01568052868 0.06708850599 0.0009692060 0.0026350568 2336057.802 2308854.307 2324452.306 951.09666 316.98438 821.59771 0.0068042627 215.34941 351.000 0.121875 487.644 306.331 0.01555762389 0.06728391958 0.0009624117 0.0026450379 2333333.483 2306548.973 2321651.860 961.66456 285.00758 819.35735 0.0068074496 222.52262 352.002 0.122223 487.490 306.297 0.01543392783 0.06747636816 0.0009555158 0.0026547958 2330750.821 2304386.140 2318996.491 972.19032 252.97835 817.23306 0.0068103116 228.93980 353.002 0.122570 487.345 306.268 0.01531017384 0.06766472307 0.0009485601 0.0026642712 2328324.651 2302378.069 2316501.464 982.61093 221.08613 815.23704 0.0068128313 234.56406 354.001 0.122917 487.209 306.243 0.01518602937 0.06784951991 0.0009415269 0.0026734898 2326047.334 2300518.166 2314158.939 992.95421 189.24416 813.36302 0.0068150168 239.41502 355.000 0.123264 487.082 306.222 0.01506151661 0.06803073623 0.0009344185 0.0026824488 2323918.870 2298806.265 2311968.926 1003.21762 157.45773 811.61101 0.0068168673 243.49282 356.003 0.123612 486.963 306.207 0.01493629735 0.06820885622 0.0009272161 0.0026911701 2321933.770 2297237.911 2309925.786 1013.42780 125.64080 809.97650 0.0068183862 246.80611 357.002 0.123959 486.854 306.196 0.01481111329 0.06838283372 0.0009199633 0.0026996009 2320103.449 2295821.960 2308041.278 1023.52350 93.98151 808.46889 0.0068195642 249.33617 358.001 0.124306 486.753 306.189 0.01468562702 0.06855316337 0.0009126418 0.0027077641 2318421.999 2294553.534 2306309.331 1033.53156 62.39360 807.08333 0.0068204059 251.09405 359.001 0.124653 486.661 306.187 0.01455986039 0.06871982270 0.0009052538 0.0027156572 2316889.435 2293432.480 2304729.967 1043.44939 30.88229 805.81984 0.0068209110 252.08022 360.000 0.125000 486.578 306.190 0.01443383517 0.06888278922 0.0008978015 0.0027232779 2315505.777 2292458.649 2303303.214 1053.27435 -0.54719 804.67844 0.0068210794 252.29527 Engine speed (Hz) = 8.0000000000 Output power (W) = 2018.3581883059 Heat into heater (W) = 8426.1948269969 Heat to regenerator (W) = -4.3775161292 Heat removal from cooler (W) = 6437.4275022402 Approximate Pumping loss (W) = -1235.3995461682 Thermal efficiency (%) = 23.9533766990 The average engine pressure (Pa) = 2978625.0695916279 The exp space work per cycle (J) = 1052.7161288319 The comp space work per cycle (J) = -800.4213552937 The net work per cycle (J) = 252.2947735382 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6417.3115662272 The expansion work for Vmin-to-Vmax (J) = 6669.6063397654 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 487.016 306.419 0.01445195944 0.06881091843 0.0008977908 0.0027232886 2320524.996 2291769.925 2305379.020 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.003 0.000309 486.940 306.429 0.01432518184 0.06897180719 0.0008902628 0.0027306471 2319256.904 2291011.147 2304061.574 9.74225 -31.50627 -1.05396 0.0068209099 -0.60044 2.001 0.000617 486.873 306.443 0.01419859742 0.06912843530 0.0008826996 0.0027377050 2318141.084 2290400.719 2302901.222 19.35497 -62.81863 -1.98224 0.0068204046 -1.96709 3.002 0.000926 486.815 306.462 0.01407140614 0.06928179595 0.0008750543 0.0027445062 2317170.357 2289934.514 2301890.505 28.89786 -94.13511 -2.79081 0.0068195605 -4.10804 4.003 0.001235 486.766 306.485 0.01394404063 0.06943135048 0.0008673537 0.0027510250 2316348.658 2289614.589 2301033.517 38.33684 -125.34856 -3.47640 0.0068183787 -7.01921 5.001 0.001543 486.725 306.513 0.01381693572 0.06957660932 0.0008596254 0.0027572399 2315678.004 2289441.112 2300332.373 47.63913 -156.35319 -4.03732 0.0068168653 -10.68648 6.002 0.001852 486.694 306.546 0.01368928789 0.06971849150 0.0008518214 0.0027631893 2315154.125 2289412.798 2299782.612 56.86241 -187.34502 -4.47713 0.0068150107 -15.13263 7.003 0.002161 486.671 306.583 0.01356153145 0.06985649472 0.0008439693 0.0027688507 2314779.534 2289530.289 2299386.859 65.97352 -218.21789 -4.79373 0.0068128200 -20.34586 8.001 0.002469 486.658 306.624 0.01343410210 0.06999016673 0.0008360971 0.0027742055 2314554.821 2289792.345 2299145.755 74.94078 -248.86719 -4.98661 0.0068103026 -26.30437 9.002 0.002778 486.653 306.670 0.01330619415 0.07012035079 0.0008281560 0.0027792868 2314478.636 2290200.512 2299057.846 83.81964 -279.48664 -5.05694 0.0068074427 -33.04558 10.000 0.003086 486.658 306.720 0.01317865717 0.07024617949 0.0008201998 0.0027840602 2314551.589 2290751.994 2299123.824 92.54986 -309.87275 -5.00416 0.0068042600 -40.52447 11.001 0.003395 486.671 306.775 0.01305068476 0.07036844478 0.0008121793 0.0027885552 2314774.279 2291450.218 2299344.245 101.18534 -340.21752 -4.82782 0.0068007345 -48.78815 12.002 0.003704 486.693 306.834 0.01292271278 0.07048670631 0.0008041227 0.0027927545 2315146.847 2292293.473 2299719.284 109.69473 -370.41673 -4.52779 0.0067968772 -57.81203 13.000 0.004012 486.725 306.898 0.01279517709 0.07060057530 0.0007960587 0.0027966447 2315667.502 2293278.172 2300247.121 118.04830 -400.36804 -4.10552 0.0067927034 -67.56160 14.001 0.004321 486.765 306.966 0.01266727135 0.07071076535 0.0007879375 0.0028002498 2316339.778 2294410.550 2300931.339 126.29749 -430.26058 -3.55815 0.0067881873 -78.09846 15.003 0.004630 486.814 307.039 0.01253943158 0.07081687411 0.0007797876 0.0028035556 2317162.388 2295687.485 2301770.637 134.41214 -459.99148 -2.88671 0.0067833431 -89.39036 16.001 0.004938 486.872 307.116 0.01241209297 0.07091855173 0.0007716379 0.0028065519 2318132.113 2297103.979 2302761.720 142.36382 -489.45994 -2.09384 0.0067781898 -101.39525 17.002 0.005247 486.940 307.197 0.01228445057 0.07101643185 0.0007634382 0.0028092571 2319255.428 2298669.064 2303911.203 150.20134 -518.85191 -1.17425 0.0067726953 -114.18908 18.003 0.005556 487.016 307.283 0.01215693997 0.07111015072 0.0007552172 0.0028116604 2320529.622 2300378.202 2305216.312 157.89583 -548.06601 -0.13017 0.0067668776 -127.73205 19.001 0.005864 487.101 307.373 0.01202999514 0.07119939809 0.0007470043 0.0028137545 2321950.037 2302224.985 2306672.269 165.42024 -577.00314 1.03460 0.0067607588 -141.97453 20.002 0.006173 487.195 307.468 0.01190281384 0.07128472597 0.0007387485 0.0028155525 2323526.111 2304221.221 2308288.739 172.82060 -605.84571 2.32777 0.0067543011 -157.00679 21.003 0.006482 487.298 307.567 0.01177583067 0.07136580982 0.0007304791 0.0028170466 2325253.699 2306360.952 2310061.468 180.06939 -634.49398 3.74596 0.0067475257 -172.78144 22.001 0.006790 487.410 307.670 0.01164947779 0.07144237968 0.0007222253 0.0028182329 2327126.708 2308636.355 2311984.196 187.14106 -662.85066 5.28414 0.0067404583 -189.24142 23.002 0.007099 487.531 307.777 0.01152295702 0.07151490409 0.0007139362 0.0028191188 2329157.548 2311061.991 2314069.651 194.07868 -691.09434 6.95250 0.0067330550 -206.49108 24.000 0.007407 487.661 307.889 0.01139710957 0.07158288472 0.0007056678 0.0028196982 2331333.333 2313621.933 2316304.592 200.83451 -719.03665 8.74046 0.0067253660 -224.41618 25.001 0.007716 487.800 308.005 0.01127114075 0.07164673348 0.0006973690 0.0028199748 2333668.465 2316332.560 2318703.802 207.44958 -746.85339 10.65983 0.0067173438 -243.13039 26.002 0.008025 487.949 308.126 0.01114548227 0.07170619255 0.0006890692 0.0028199461 2336156.414 2319185.527 2321260.566 213.89884 -774.44783 12.70524 0.0067090153 -262.57389 27.000 0.008333 488.105 308.250 0.01102056195 0.07176106031 0.0006807977 0.0028196136 2338788.692 2322170.628 2323966.146 220.15937 -801.72604 14.86970 0.0067004114 -282.67730 28.002 0.008642 488.272 308.379 0.01089559149 0.07181166190 0.0006725035 0.0028189754 2341582.715 2325306.937 2326838.432 226.26898 -828.85939 17.16753 0.0066914788 -303.56815 29.003 0.008951 488.447 308.512 0.01077100010 0.07185778002 0.0006642157 0.0028180322 2344530.530 2328584.647 2329869.238 232.20420 -855.75311 19.59217 0.0066822479 -325.17922 30.001 0.009259 488.630 308.649 0.01064721225 0.07189925459 0.0006559639 0.0028167887 2347622.218 2331992.087 2333048.354 237.94380 -882.31548 22.13547 0.0066727526 -347.43386 31.002 0.009568 488.824 308.791 0.01052344747 0.07193632123 0.0006476968 0.0028152374 2350878.255 2335550.955 2336396.823 243.52218 -908.71301 24.81424 0.0066629342 -370.47323 32.003 0.009877 489.026 308.937 0.01040013197 0.07196880296 0.0006394439 0.0028133822 2354289.287 2339249.927 2339905.018 248.91751 -934.85303 27.62080 0.0066528262 -394.22279 33.001 0.010185 489.236 309.086 0.01027768635 0.07199658053 0.0006312343 0.0028112313 2357844.004 2343075.787 2343561.302 254.11029 -960.64605 30.54582 0.0066424655 -418.59868 34.002 0.010494 489.456 309.240 0.01015533961 0.07201979566 0.0006230171 0.0028087711 2361566.032 2347052.704 2347389.978 259.13127 -986.25330 33.60877 0.0066317883 -443.75550 35.003 0.010803 489.685 309.398 0.01003351457 0.07203830881 0.0006148217 0.0028060091 2365444.717 2351167.648 2351380.105 263.96021 -1011.58410 36.80087 0.0066208308 -469.61147 36.001 0.011111 489.923 309.559 0.00991262781 0.07205203622 0.0006066768 0.0028029565 2369467.517 2355405.556 2355518.829 268.57924 -1036.55111 40.11185 0.0066096332 -496.07560 37.002 0.011420 490.170 309.725 0.00979192010 0.07206101079 0.0005985320 0.0027995943 2373661.572 2359792.399 2359834.203 273.01486 -1061.30919 43.56415 0.0065981263 -523.31570 38.000 0.011728 490.425 309.895 0.00967219999 0.07206509348 0.0005904427 0.0027959453 2378001.311 2364297.030 2364300.369 277.23408 -1085.68963 47.13708 0.0065863880 -551.15132 39.001 0.012037 490.691 310.069 0.00955271684 0.07206434932 0.0005823586 0.0027919870 2382516.287 2368953.564 2368943.806 281.26377 -1109.84674 50.83840 0.0065743456 -579.75892 40.002 0.012346 490.964 310.249 0.00943384422 0.07205929265 0.0005743086 0.0027877319 2387178.848 2373780.202 2373730.222 285.10625 -1133.72358 54.60019 0.0065620406 -609.04484 41.000 0.012654 491.245 310.434 0.00931596777 0.07204993674 0.0005663211 0.0027831966 2391965.710 2378760.923 2378644.209 288.74847 -1157.24258 58.40851 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0.01545273265 0.06740141084 0.0009555208 0.0026547888 2335746.710 2302872.840 2321165.221 966.48180 253.77543 839.72548 0.0068103096 201.26152 353.003 0.108951 487.796 306.409 0.01532851070 0.06759145729 0.0009485525 0.0026642813 2333290.824 2300936.577 2318622.937 976.91376 221.72704 837.69165 0.0068128339 206.84732 354.001 0.109259 487.659 306.387 0.01520429627 0.06777733736 0.0009415295 0.0026734866 2330990.713 2299153.850 2316241.277 987.23500 189.83154 835.78633 0.0068150161 211.64356 355.002 0.109568 487.530 306.369 0.01507930530 0.06796023450 0.0009344082 0.0026824615 2328831.467 2297512.898 2314004.817 997.50996 157.88725 833.99716 0.0068168697 215.68155 356.003 0.109877 487.410 306.356 0.01495396296 0.06813951581 0.0009272135 0.0026911732 2326820.822 2296019.568 2311921.578 1007.70239 126.00322 832.33057 0.0068183866 218.94465 357.001 0.110185 487.299 306.348 0.01482869888 0.06831459515 0.0009199712 0.0026995919 2324964.597 2294677.799 2309997.605 1017.77710 94.28770 830.79139 0.0068195631 221.42637 358.002 0.110494 487.197 306.344 0.01470272193 0.06848658586 0.0009126365 0.0027077699 2323250.777 2293478.704 2308220.455 1027.79689 62.54011 829.36967 0.0068204064 223.14322 359.003 0.110803 487.103 306.345 0.01457646055 0.06865488995 0.0009052351 0.0027156768 2321685.671 2292426.704 2306596.675 1037.72624 30.86890 828.07064 0.0068209119 224.08634 360.001 0.111111 487.019 306.350 0.01445034679 0.06881895707 0.0008977934 0.0027232860 2320273.671 2291524.319 2305130.835 1047.53081 -0.61848 826.89797 0.0068210794 224.25699 Engine speed (Hz) = 9.0000000000 Output power (W) = 2018.3066083084 Heat into heater (W) = 9427.7773157389 Heat to regenerator (W) = -5.5663614783 Heat removal from cooler (W) = 7442.0817415628 Approximate Pumping loss (W) = -1716.1318842379 Thermal efficiency (%) = 21.4080852858 The average engine pressure (Pa) = 2979479.3073208602 The exp space work per cycle (J) = 1046.9068662440 The comp space work per cycle (J) = -822.6505764320 The net work per cycle (J) = 224.2562898120 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6433.8320744401 The expansion work for Vmin-to-Vmax (J) = 6658.0883642521 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.004 0.000001 487.501 306.589 0.01447007084 0.06874043282 0.0008977746 0.0027233048 2325788.821 2290680.762 2307401.825 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.001 0.000278 487.423 306.602 0.01434349483 0.06890216395 0.0008902764 0.0027306341 2324491.341 2290001.499 2306044.059 9.69707 -31.49607 -1.08621 0.0068209105 -0.64498 2.002 0.000556 487.354 306.619 0.01421624154 0.06906072471 0.0008826914 0.0027377125 2323336.939 2289465.126 2304834.897 19.33103 -63.01404 -2.05354 0.0068204039 -2.06147 3.002 0.000834 487.294 306.641 0.01408878982 0.06921549934 0.0008750488 0.0027445110 2322330.662 2289074.168 2303779.627 28.86393 -94.43461 -2.89776 0.0068195597 -4.24776 4.003 0.001112 487.242 306.667 0.01396116194 0.06936646259 0.0008673509 0.0027510273 2321472.619 2288828.439 2302878.365 38.29304 -125.75235 -3.61877 0.0068183782 -7.20297 5.000 0.001389 487.200 306.697 0.01383384004 0.06951306672 0.0008596282 0.0027572377 2320765.209 2288727.855 2302133.644 47.58222 -156.84977 -4.21454 0.0068168659 -10.91141 6.001 0.001667 487.166 306.733 0.01370592696 0.06965634478 0.0008518271 0.0027631851 2320203.446 2288771.508 2301540.216 56.79579 -187.94601 -4.68929 0.0068150122 -15.39884 7.002 0.001945 487.142 306.772 0.01357790423 0.06979573489 0.0008439778 0.0027688447 2319790.283 2288959.836 2301101.183 65.89721 -218.92317 -5.04051 0.0068128226 -20.65215 8.003 0.002223 487.126 306.816 0.01344979403 0.06993121114 0.0008360829 0.0027742149 2319525.858 2289292.655 2300816.690 74.88369 -249.77584 -5.26811 0.0068102977 -26.67014 9.004 0.002501 487.119 306.865 0.01332161846 0.07006274747 0.0008281445 0.0027792939 2319410.319 2289769.782 2300686.890 83.75239 -280.49858 -5.37195 0.0068074384 -33.45156 10.001 0.002778 487.121 306.918 0.01319386094 0.07018986582 0.0008201940 0.0027840635 2319443.434 2290388.538 2300711.577 92.46925 -310.97619 -5.35220 0.0068042575 -40.96655 11.002 0.003056 487.132 306.975 0.01306562106 0.07031345759 0.0008121764 0.0027885568 2319625.609 2291153.206 2300891.097 101.09437 -341.42330 -5.20858 0.0068007332 -49.26795 12.002 0.003334 487.152 307.037 0.01293738210 0.07043302997 0.0008041227 0.0027927545 2319957.168 2292061.622 2301225.818 109.59323 -371.72417 -4.94080 0.0067968772 -58.32847 13.003 0.003612 487.180 307.103 0.01280916620 0.07054855596 0.0007960354 0.0027966555 2320438.298 2293113.595 2301715.930 117.96296 -401.87337 -4.54872 0.0067926909 -68.14651 14.000 0.003889 487.218 307.174 0.01268145644 0.07065961473 0.0007879463 0.0028002461 2321066.656 2294304.375 2302359.027 126.17132 -431.75780 -4.03424 0.0067881923 -78.68100 15.001 0.004167 487.265 307.249 0.01255335283 0.07076698069 0.0007797993 0.0028035510 2321846.984 2295642.362 2303159.960 134.27471 -461.58778 -3.39349 0.0067833503 -90.00622 16.002 0.004445 487.320 307.328 0.01242533871 0.07087021772 0.0007716262 0.0028065560 2322777.503 2297123.310 2304116.904 142.24038 -491.24963 -2.62794 0.0067781821 -102.08365 17.003 0.004723 487.385 307.412 0.01229743631 0.07096929769 0.0007634293 0.0028092599 2323858.440 2298747.011 2305230.088 150.06546 -520.73782 -1.73739 0.0067726892 -114.91132 18.004 0.005001 487.459 307.500 0.01216966792 0.07106419212 0.0007552113 0.0028116620 2325090.036 2300513.248 2306499.751 157.74705 -550.04682 -0.72166 0.0067668733 -128.48722 19.001 0.005278 487.541 307.592 0.01204251458 0.07115455360 0.0007470043 0.0028137545 2326467.300 2302414.675 2307920.732 165.25543 -579.06662 0.41513 0.0067607588 -142.75634 20.002 0.005556 487.633 307.689 0.01191508056 0.07124100544 0.0007387515 0.0028155520 2328000.439 2304464.788 2309503.552 172.64193 -608.00118 1.68138 0.0067543034 -157.81951 21.002 0.005834 487.733 307.790 0.01178784763 0.07132318427 0.0007304850 0.0028170457 2329685.030 2306656.731 2311243.638 179.87627 -636.73979 3.07345 0.0067475307 -173.62423 22.003 0.006112 487.843 307.895 0.01166083832 0.07140106010 0.0007222075 0.0028182352 2331521.367 2308990.245 2313141.279 186.95555 -665.27679 4.59156 0.0067404426 -190.16811 23.000 0.006389 487.961 308.004 0.01153453075 0.07147434575 0.0007139511 0.0028191175 2333502.329 2311455.900 2315189.100 193.85226 -693.50498 6.22982 0.0067330686 -207.38516 24.001 0.006667 488.089 308.118 0.01140803558 0.07154353952 0.0007056589 0.0028196987 2335642.540 2314071.208 2317402.202 200.61329 -721.62246 8.00030 0.0067253575 -225.39710 25.002 0.006945 488.225 308.236 0.01128183206 0.07160833759 0.0006973630 0.0028199749 2337935.461 2316827.208 2319773.813 207.21055 -749.52120 9.89759 0.0067173379 -244.14040 26.003 0.007223 488.371 308.358 0.01115594308 0.07166870794 0.0006890662 0.0028199460 2340381.449 2319723.564 2322304.283 213.64111 -777.19540 11.92197 0.0067090122 -263.61227 27.004 0.007501 488.525 308.485 0.01103039169 0.07172461790 0.0006807709 0.0028196121 2342980.880 2322759.912 2324993.985 219.90205 -804.63921 14.07373 0.0067003829 -283.80980 28.001 0.007778 488.688 308.615 0.01090565068 0.07177585720 0.0006725094 0.0028189760 2345723.975 2325924.178 2327832.779 225.96886 -831.74929 16.34476 0.0066914854 -304.65344 29.002 0.008056 488.861 308.750 0.01078084264 0.07182276166 0.0006642247 0.0028180333 2348630.963 2329238.773 2330841.583 231.88240 -858.71544 18.75181 0.0066822580 -326.29060 30.002 0.008334 489.043 308.888 0.01065644203 0.07186510297 0.0006559490 0.0028167862 2351692.674 2332692.039 2334010.889 237.61751 -885.43332 21.28725 0.0066727352 -348.64409 31.003 0.008612 489.233 309.031 0.01053247250 0.07190284467 0.0006476849 0.0028152350 2354909.600 2336283.431 2337341.193 243.17121 -911.89683 23.95149 0.0066629199 -371.71061 32.000 0.008889 489.432 309.178 0.01040940139 0.07193583811 0.0006394647 0.0028133873 2358269.867 2339998.667 2340820.187 248.52151 -938.00597 26.73469 0.0066528520 -395.39991 33.001 0.009167 489.641 309.329 0.01028636413 0.07196428170 0.0006312313 0.0028112304 2361798.331 2343863.854 2344473.597 253.70401 -963.94295 29.65742 0.0066424617 -419.87949 34.002 0.009445 489.859 309.484 0.01016383029 0.07198800542 0.0006230171 0.0028087711 2365483.812 2347864.971 2348289.856 258.69596 -989.60654 32.71043 0.0066317883 -445.06143 35.003 0.009723 490.086 309.642 0.01004182470 0.07200696276 0.0006148246 0.0028060102 2369327.095 2352000.965 2352269.801 263.49412 -1014.99003 35.89438 0.0066208348 -470.94195 36.004 0.010001 490.321 309.805 0.00992037276 0.07202110092 0.0006066562 0.0028029484 2373329.132 2356270.467 2356414.490 268.09510 -1040.08636 39.21013 0.0066096046 -497.51712 37.001 0.010278 490.566 309.971 0.00979993449 0.07203033070 0.0005985437 0.0027995993 2377475.913 2360655.458 2360709.601 272.47966 -1064.79917 42.64622 0.0065981430 -524.68360 38.002 0.010556 490.820 310.141 0.00967966845 0.07203462275 0.0005904310 0.0027959398 2381799.292 2365184.117 2365188.766 276.67470 -1089.29772 46.22955 0.0065863708 -552.63338 39.002 0.010834 491.083 310.316 0.00956003919 0.07203396952 0.0005823499 0.0027919826 2386286.692 2369845.370 2369834.335 280.66328 -1113.48770 49.93358 0.0065743325 -581.26532 40.003 0.011112 491.355 310.496 0.00944102657 0.07202905277 0.0005743029 0.0027877288 2390922.978 2374678.662 2374620.753 284.46638 -1137.39796 53.69850 0.0065620316 -610.57506 41.000 0.011389 491.634 310.682 0.00932305069 0.07201990202 0.0005663211 0.0027831966 2395680.164 2379666.770 2379530.657 288.07050 -1160.94454 57.50860 0.0065495177 -640.44901 42.001 0.011667 491.921 310.874 0.00920528167 0.07200640292 0.0005583494 0.0027783548 2400591.064 2384844.543 2384600.513 291.49887 -1184.29126 61.39329 0.0065367041 -671.09821 43.002 0.011945 492.216 311.073 0.00908817351 0.07198854151 0.0005504190 0.0027732205 2405638.893 2390193.520 2389813.329 294.73551 -1207.34572 65.34063 0.0065236396 -702.41124 44.003 0.012223 492.518 311.278 0.00897175388 0.07196628329 0.0005425325 0.0027677955 2410823.980 2395713.150 2395169.365 297.77795 -1230.10106 69.35233 0.0065103280 -734.38319 45.004 0.012501 492.828 311.488 0.00885605046 0.07193959678 0.0005346922 0.0027620812 2416146.584 2401403.008 2400668.770 300.62386 -1252.55054 73.43011 0.0064967735 -767.00905 46.001 0.012778 493.144 311.704 0.00874150303 0.07190857259 0.0005269285 0.0027561017 2421586.994 2407241.366 2406291.059 303.26186 -1274.60843 77.56076 0.0064830301 -800.16283 47.002 0.013056 493.469 311.926 0.00862731209 0.07187295875 0.0005191876 0.0027498154 2427184.599 2413270.083 2412076.842 305.70887 -1296.42742 81.77597 0.0064690030 -834.07870 48.002 0.013334 493.801 312.155 0.00851392026 0.07183283230 0.0005115000 0.0027432455 2432920.061 2419468.125 2418006.048 307.95296 -1317.92069 86.06291 0.0064547455 -868.63275 49.003 0.013612 494.141 312.389 0.00840135538 0.07178816713 0.0005038681 0.0027363939 2438793.398 2425835.248 2424078.610 309.99216 -1339.08168 90.42362 0.0064402620 -903.81949 50.000 0.013889 494.487 312.628 0.00829004571 0.07173912316 0.0004963214 0.0027292889 2444782.722 2432347.409 2430271.813 311.81834 -1359.82951 94.84412 0.0064256102 -939.50336 51.001 0.014167 494.841 312.873 0.00817921564 0.07168532158 0.0004888076 0.0027218813 2450931.232 2439051.399 2436630.241 313.44285 -1380.30740 99.35850 0.0064106888 -975.93627 52.002 0.014445 495.203 313.124 0.00806929691 0.07162690699 0.0004813564 0.0027141985 2457217.483 2445923.783 2443131.635 314.85696 -1400.43323 103.95324 0.0063955549 -1012.98464 53.003 0.014723 495.571 313.381 0.00796031804 0.07156385566 0.0004739701 0.0027062429 2463641.382 2452964.327 2449775.812 316.05897 -1420.20035 108.63068 0.0063802130 -1050.64244 54.004 0.015001 495.948 313.643 0.00785230774 0.07149614433 0.0004666509 0.0026980169 2470202.812 2460172.786 2456562.558 317.04725 -1439.60211 113.39326 0.0063646678 -1088.90352 55.001 0.015278 496.329 313.910 0.00774567807 0.07142401902 0.0004594271 0.0026895541 2476877.296 2467522.069 2463466.460 317.81784 -1458.56404 118.22591 0.0063489812 -1127.62073 56.002 0.015556 496.720 314.183 0.00763968818 0.07134693670 0.0004522486 0.0026807959 2483712.869 2475064.966 2470537.102 318.37480 -1477.21638 123.16610 0.0063330445 -1167.06720 57.002 0.015834 497.117 314.462 0.00753475417 0.07126512740 0.0004451439 0.0026717751 2490685.509 2482774.953 2477749.530 318.71355 -1495.48325 128.19923 0.0063169189 -1207.09761 58.003 0.016112 497.521 314.746 0.00743090559 0.07117856967 0.0004381150 0.0026624944 2497795.019 2490651.714 2485103.431 318.83274 -1513.35789 133.32805 0.0063006094 -1247.70522 59.000 0.016389 497.931 315.035 0.00732853973 0.07108757963 0.0004311892 0.0026529914 2505014.875 2498665.678 2492571.252 318.73184 -1530.77138 138.53642 0.0062841805 -1288.73399 60.001 0.016667 498.349 315.330 0.00722694737 0.07099147987 0.0004243183 0.0026432004 2512396.974 2506874.342 2500206.546 318.40896 -1547.84265 143.86484 0.0062675187 -1330.47311 61.002 0.016945 498.774 315.630 0.00712653028 0.07089057029 0.0004175298 0.0026331583 2519915.240 2515248.674 2507982.215 317.86291 -1564.50128 149.29768 0.0062506880 -1372.76826 62.003 0.017223 499.205 315.935 0.00702731888 0.07078483141 0.0004108255 0.0026228681 2527569.399 2523788.244 2515897.835 317.09268 -1580.74041 154.83800 0.0062336936 -1415.61205 63.004 0.017501 499.644 316.245 0.00692934379 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0.0005678060 0.0008559364 3781131.761 3836911.087 3817122.649 -597.07871 1059.02842 2001.31367 0.0046237424 -6392.34150 191.002 0.053056 559.682 355.967 0.01314130607 0.03098829435 0.0005758236 0.0008514431 3780788.546 3834810.622 3816790.309 -596.81284 1102.72482 2007.06668 0.0046272667 -6379.26721 192.002 0.053334 559.562 355.904 0.01332562880 0.03082173851 0.0005838773 0.0008472454 3780124.627 3832414.656 3816104.113 -596.26388 1146.08449 2012.21199 0.0046311227 -6364.91768 193.003 0.053612 559.431 355.833 0.01350984115 0.03066444327 0.0005919646 0.0008433444 3779140.442 3829727.743 3815064.516 -595.43221 1189.08535 2016.74700 0.0046353090 -6349.30009 194.000 0.053889 559.291 355.754 0.01369318738 0.03051700005 0.0006000537 0.0008397539 3777841.867 3826765.792 3813677.865 -594.32288 1231.55294 2020.65680 0.0046398076 -6332.48529 195.001 0.054167 559.139 355.668 0.01387689735 0.03037841351 0.0006082007 0.0008364489 3776220.323 3823512.257 3811935.102 -592.92867 1273.77235 2023.96839 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902.23944 0.0067475564 29.01243 340.002 0.094445 490.879 307.231 0.01692576116 0.06475461938 0.0010322453 0.0025220827 2382492.797 2334896.382 2366498.469 830.15159 641.86655 898.58293 0.0067543280 44.56243 341.003 0.094723 490.629 307.151 0.01680795429 0.06498682927 0.0010263688 0.0025344133 2378245.627 2331262.498 2362079.978 841.29805 609.58466 895.04814 0.0067607821 59.34545 342.004 0.095001 490.388 307.076 0.01668946232 0.06521578266 0.0010203910 0.0025465260 2374145.448 2327778.412 2357813.720 852.39720 577.28241 891.63513 0.0067669169 73.36039 343.001 0.095278 490.156 307.005 0.01657073941 0.06544064719 0.0010143356 0.0025583746 2370206.252 2324455.626 2353714.303 863.40703 545.08198 888.35560 0.0067727102 86.56002 344.002 0.095556 489.931 306.940 0.01645095251 0.06566302021 0.0010081608 0.0025700411 2366399.633 2321269.922 2349752.207 874.40469 512.75672 885.18592 0.0067782019 99.03874 345.002 0.095834 489.715 306.879 0.01633055315 0.06588205801 0.0010018901 0.0025814788 2362740.110 2318233.339 2345942.578 885.34794 480.42868 882.13822 0.0067833689 110.74673 346.003 0.096112 489.507 306.822 0.01620956530 0.06609773477 0.0009955255 0.0025926841 2359227.717 2315345.652 2342285.489 896.23437 448.10364 879.21255 0.0067882097 121.68329 347.000 0.096389 489.309 306.771 0.01608845100 0.06630926735 0.0009890923 0.0026036147 2355874.329 2312616.224 2338793.341 907.02271 415.90358 876.41883 0.0067927070 131.81265 348.001 0.096667 489.118 306.724 0.01596635940 0.06651815770 0.0009825460 0.0026143461 2352655.768 2310025.127 2335440.986 917.78839 383.60171 873.73695 0.0067968921 141.20744 349.002 0.096945 488.936 306.682 0.01584375030 0.06672361079 0.0009759117 0.0026248351 2349584.440 2307582.263 2332241.373 928.48988 351.31999 871.17726 0.0068007468 149.82927 350.003 0.097223 488.762 306.644 0.01572064714 0.06692560148 0.0009691914 0.0026350786 2346660.381 2305287.413 2329194.567 939.12466 319.06406 868.73981 0.0068042700 157.67783 351.004 0.097501 488.597 306.611 0.01559707326 0.06712410473 0.0009623871 0.0026450734 2343883.632 2303140.362 2326300.634 949.69021 286.83957 866.42466 0.0068074605 164.75288 352.001 0.097778 488.441 306.583 0.01547349874 0.06731840052 0.0009555258 0.0026547819 2341263.428 2301147.825 2323569.226 960.14636 254.76783 864.23954 0.0068103077 171.03298 353.002 0.098056 488.294 306.559 0.01534905440 0.06750986692 0.0009485601 0.0026642712 2338780.896 2299295.205 2320980.690 970.56604 222.62283 862.16871 0.0068128313 176.56343 354.002 0.098334 488.155 306.540 0.01522420856 0.06769777136 0.0009415167 0.0026735029 2336445.807 2297589.753 2318545.232 980.90878 190.52598 860.22034 0.0068150197 181.32017 355.003 0.098612 488.024 306.525 0.01509898412 0.06788208905 0.0009343979 0.0026824743 2334258.216 2296031.261 2316262.923 991.17198 158.48282 858.39450 0.0068168721 185.30332 356.000 0.098889 487.903 306.515 0.01497385623 0.06806215172 0.0009272317 0.0026911516 2332225.252 2294624.343 2314141.224 1001.31653 126.61380 856.69714 0.0068183832 188.50292 357.001 0.099167 487.790 306.510 0.01484794410 0.06823923475 0.0009199686 0.0026995949 2330332.300 2293358.640 2312164.894 1011.41303 94.69431 855.11607 0.0068195635 190.94233 358.002 0.099445 487.686 306.509 0.01472172147 0.06841265682 0.0009126365 0.0027077699 2328587.031 2292239.296 2310341.951 1021.42205 62.84499 853.65772 0.0068204064 192.60899 359.003 0.099723 487.590 306.513 0.01459521089 0.06858239309 0.0009052378 0.0027156740 2326989.517 2291266.115 2308672.481 1031.34092 31.07130 852.32214 0.0068209118 193.50334 360.004 0.100001 487.504 306.521 0.01446843487 0.06874841868 0.0008977745 0.0027233049 2325539.839 2290438.904 2307156.579 1041.16692 -0.62129 851.10942 0.0068210794 193.62590 Engine speed (Hz) = 10.0000000000 Output power (W) = 1936.2494709116 Heat into heater (W) = 10411.6691961202 Heat to regenerator (W) = -6.2128662142 Heat removal from cooler (W) = 8511.0941937430 Approximate Pumping loss (W) = -2302.0190520700 Thermal efficiency (%) = 18.5969169250 The average engine pressure (Pa) = 2980397.7810732671 The exp space work per cycle (J) = 1040.5365339061 The comp space work per cycle (J) = -846.9115868150 The net work per cycle (J) = 193.6249470912 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6451.8881962877 The expansion work for Vmin-to-Vmax (J) = 6645.5131433788 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.002 0.000001 488.031 306.769 0.01449042417 0.06866225979 0.0008977854 0.0027232940 2331564.331 2289427.161 2309634.946 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.000 0.000253 487.951 306.785 0.01436342931 0.06882573601 0.0008902819 0.0027306289 2330228.218 2288831.463 2308225.958 9.69682 -31.64426 -1.12719 0.0068209108 -0.69643 2.002 0.000506 487.880 306.805 0.01423570635 0.06898609514 0.0008826886 0.0027377150 2329033.943 2288378.129 2306965.479 19.33399 -63.32263 -2.13557 0.0068204037 -2.16544 3.004 0.000759 487.817 306.830 0.01410778153 0.06914265442 0.0008750377 0.0027445205 2327987.235 2288069.591 2305859.554 28.87005 -94.90380 -3.02031 0.0068195583 -4.40506 4.002 0.001011 487.763 306.859 0.01398018425 0.06929479098 0.0008673620 0.0027510181 2327091.500 2287905.997 2304911.794 38.26511 -126.25798 -3.77852 0.0068183802 -7.40104 5.004 0.001264 487.719 306.893 0.01385192441 0.06944368543 0.0008596030 0.0027572574 2326339.783 2287885.832 2304114.841 47.59093 -157.62846 -4.41608 0.0068168604 -11.17624 6.002 0.001516 487.683 306.931 0.01372403839 0.06958813389 0.0008518243 0.0027631872 2325738.188 2288009.040 2303475.165 56.77099 -188.76174 -4.92783 0.0068150115 -15.69984 7.003 0.001769 487.655 306.974 0.01359553374 0.06972925561 0.0008439665 0.0027688527 2325282.111 2288276.384 2302987.866 65.87529 -219.89937 -5.31766 0.0068128192 -21.00665 8.001 0.002021 487.637 307.021 0.01346744871 0.06986590777 0.0008360942 0.0027742074 2324975.337 2288685.534 2302656.985 74.82905 -250.78966 -5.58237 0.0068103016 -27.05358 9.003 0.002274 487.627 307.073 0.01333878925 0.06999914736 0.0008281474 0.0027792921 2324815.623 2289239.517 2302480.091 83.70044 -281.67224 -5.72388 0.0068074395 -33.88739 10.001 0.002526 487.627 307.128 0.01321059478 0.07012789341 0.0008201911 0.0027840652 2324804.433 2289933.737 2302458.787 92.41650 -312.29743 -5.74093 0.0068042563 -41.45272 11.003 0.002779 487.635 307.189 0.01308187036 0.07025313969 0.0008121648 0.0027885630 2324941.888 2290773.477 2302593.120 101.04351 -342.90272 -5.63346 0.0068007279 -49.80822 12.001 0.003031 487.652 307.253 0.01295365594 0.07037386794 0.0008041343 0.0027927487 2325227.125 2291751.874 2302882.253 109.51040 -373.24063 -5.40215 0.0067968830 -58.88635 13.003 0.003284 487.678 307.322 0.01282495642 0.07049100774 0.0007960383 0.0027966541 2325662.641 2292876.461 2303328.714 117.88146 -403.54635 -5.04499 0.0067926925 -68.75758 14.001 0.003536 487.713 307.395 0.01269681156 0.07060360435 0.0007879433 0.0028002473 2326245.239 2294138.114 2303929.221 126.08762 -433.57473 -4.56458 0.0067881906 -79.34224 15.003 0.003789 487.757 307.473 0.01256822685 0.07071252222 0.0007797876 0.0028035556 2326979.801 2295546.601 2304688.796 134.19110 -463.55847 -3.95692 0.0067833431 -90.72258 16.001 0.004041 487.809 307.555 0.01244024120 0.07081687097 0.0007716379 0.0028065519 2327860.789 2297090.540 2305601.704 142.12491 -493.25495 -3.22659 0.0067781898 -102.80680 17.002 0.004294 487.871 307.641 0.01231186140 0.07091744891 0.0007634323 0.0028092590 2328895.479 2298781.925 2306675.472 149.94909 -522.89420 -2.36758 0.0067726912 -115.68890 18.000 0.004546 487.942 307.732 0.01218412482 0.07101343089 0.0007552380 0.0028116547 2330075.988 2300607.118 2307901.903 157.59887 -552.23626 -1.38643 0.0067668926 -129.26505 19.002 0.004799 488.021 307.827 0.01205604033 0.07110554806 0.0007469924 0.0028137573 2331411.996 2302580.327 2309291.038 165.13201 -581.50833 -0.27513 0.0067607497 -143.64087 20.000 0.005051 488.110 307.925 0.01192864305 0.07119304135 0.0007387634 0.0028155496 2332893.265 2304685.660 2310832.216 172.48602 -610.47330 0.95782 0.0067543130 -158.70056 21.002 0.005304 488.207 308.029 0.01180094465 0.07127657368 0.0007304880 0.0028170452 2334531.894 2306939.519 2312538.004 179.71630 -639.35530 2.32245 0.0067475332 -174.56134 22.004 0.005557 488.314 308.137 0.01167347397 0.07135575732 0.0007222015 0.0028182359 2336322.662 2309333.501 2314402.954 186.79040 -668.03320 3.81441 0.0067404374 -191.16254 23.002 0.005809 488.430 308.248 0.01154675632 0.07143027270 0.0007139392 0.0028191185 2338257.965 2311856.973 2316419.117 193.67833 -696.38907 5.42734 0.0067330577 -208.43169 24.004 0.006062 488.554 308.364 0.01141980903 0.07150067820 0.0007056380 0.0028196998 2340353.556 2314529.594 2318602.883 200.43176 -724.64209 7.17435 0.0067253377 -226.50326 25.002 0.006314 488.688 308.484 0.01129365860 0.07156638380 0.0006973660 0.0028199749 2342593.280 2317329.847 2320937.392 206.99435 -752.56306 9.04196 0.0067173409 -245.23175 26.004 0.006567 488.830 308.608 0.01116732704 0.07162787667 0.0006890602 0.0028199459 2344995.349 2320279.532 2323441.602 213.41518 -780.36763 11.04532 0.0067090061 -264.76301 27.001 0.006819 488.982 308.736 0.01104183623 0.07168463583 0.0006807888 0.0028196131 2347541.232 2323354.878 2326096.166 219.64051 -807.83003 13.16898 0.0067004019 -284.93979 28.003 0.007072 489.143 308.869 0.01091621367 0.07173707580 0.0006724885 0.0028189740 2350251.622 2326579.791 2328922.635 225.71673 -835.16216 15.43015 0.0066914625 -305.91923 29.001 0.007324 489.312 309.005 0.01079147589 0.07178474530 0.0006642276 0.0028180337 2353105.610 2329928.232 2331899.177 231.59280 -862.14188 17.81139 0.0066822614 -327.53242 30.003 0.007577 489.491 309.145 0.01066665670 0.07182798452 0.0006559431 0.0028167852 2356126.403 2333426.169 2335049.971 237.31229 -888.97711 20.33202 0.0066727283 -349.94770 31.001 0.007829 489.678 309.289 0.01054276664 0.07186641226 0.0006477028 0.0028152386 2359290.719 2337045.270 2338350.710 242.82693 -915.44946 22.97261 0.0066629414 -372.98456 32.003 0.008082 489.876 309.438 0.01041884665 0.07190029207 0.0006394439 0.0028133822 2362624.328 2340813.481 2341828.255 248.17736 -941.76263 25.75465 0.0066528262 -396.82243 33.001 0.008334 490.081 309.590 0.01029590065 0.07192931254 0.0006312343 0.0028112313 2366101.599 2344700.122 2345455.861 253.31813 -967.70209 28.65673 0.0066424655 -421.26934 34.003 0.008587 490.296 309.746 0.01017297768 0.07195365688 0.0006230112 0.0028087693 2369750.951 2348734.970 2349263.179 258.28678 -993.46700 31.70259 0.0066317805 -446.51566 35.001 0.008839 490.520 309.905 0.01005107455 0.07197308097 0.0006148423 0.0028060164 2373544.483 2352884.826 2353221.140 263.04064 -1018.84671 34.86896 0.0066208587 -472.35805 36.003 0.009092 490.754 310.069 0.00992924966 0.07198767919 0.0006066650 0.0028029518 2377513.460 2357180.923 2357362.464 267.61380 -1044.03524 38.18201 0.0066096168 -498.99769 37.000 0.009344 490.996 310.236 0.00980849282 0.07199726198 0.0005985466 0.0027996006 2381628.011 2361586.882 2361656.245 271.96605 -1068.82536 41.61704 0.0065981472 -526.22000 38.002 0.009597 491.248 310.407 0.00968787477 0.07200179178 0.0005904252 0.0027959371 2385923.084 2366133.341 2366139.823 276.12656 -1093.40380 45.20390 0.0065863623 -554.23685 39.000 0.009849 491.509 310.581 0.00956837978 0.07200125126 0.0005823673 0.0027919914 2390367.694 2370787.921 2370775.852 280.06116 -1117.57070 48.90144 0.0065743587 -582.82248 40.002 0.010102 491.779 310.762 0.00944903688 0.07199648435 0.0005743115 0.0027877335 2394981.210 2375634.815 2375569.240 283.82723 -1141.55325 52.67521 0.0065620451 -612.19942 41.000 0.010354 492.056 310.948 0.00933077550 0.07198753768 0.0005663240 0.0027831983 2399713.375 2380637.816 2380482.289 287.39510 -1165.16503 56.49292 0.0065495223 -642.13094 42.002 0.010607 492.342 311.142 0.00921267478 0.07197428953 0.0005583436 0.0027783512 2404598.606 2385835.374 2385555.264 290.79037 -1188.58801 60.38697 0.0065366948 -672.84991 43.004 0.010860 492.635 311.342 0.00909523124 0.07195672583 0.0005504048 0.0027732110 2409618.011 2391207.159 2390769.534 293.99589 -1211.72116 64.34407 0.0065236159 -704.23409 44.002 0.011112 492.934 311.546 0.00897893287 0.07193490567 0.0005425410 0.0027678015 2414751.175 2396730.308 2396103.968 296.99762 -1234.46788 68.34994 0.0065103425 -736.15057 45.004 0.011365 493.241 311.758 0.00886288475 0.07190862303 0.0005346922 0.0027620812 2420039.111 2402448.193 2401601.088 299.81702 -1257.00180 72.43811 0.0064967735 -768.84767 46.002 0.011617 493.555 311.975 0.00874803225 0.07187805525 0.0005269229 0.0027560972 2425440.236 2408315.243 2407217.532 302.42958 -1279.13803 76.57806 0.0064830201 -802.06178 47.003 0.011870 493.877 312.199 0.00863349196 0.07184293070 0.0005191737 0.0027498039 2430997.567 2414377.707 2412997.910 304.85388 -1301.04550 80.80453 0.0064689776 -836.05128 48.001 0.012122 494.205 312.428 0.00852019738 0.07180349941 0.0005115083 0.0027432527 2436667.271 2420587.390 2418896.511 307.06869 -1322.54435 85.08605 0.0064547610 -870.54212 49.003 0.012375 494.542 312.663 0.00840727765 0.07175942156 0.0005038681 0.0027363939 2442494.397 2426993.328 2424960.095 309.08961 -1343.79850 89.45863 0.0064402620 -905.80256 50.001 0.012627 494.885 312.903 0.00829565366 0.07171101965 0.0004963159 0.0027292836 2448432.898 2433544.650 2431140.639 310.89876 -1364.63328 93.88981 0.0064255996 -941.54828 51.003 0.012880 495.236 313.151 0.00818446806 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1059.59732 982.91112 0.0066425084 -247.40206 328.001 0.082829 495.061 308.635 0.01830282940 0.06160193248 0.0010941944 0.0023586734 2451176.176 2385959.515 2435076.678 687.16013 1028.18268 977.78624 0.0066528678 -222.94140 329.003 0.083082 494.715 308.500 0.01819503521 0.06187237984 0.0010896593 0.0023733226 2445170.369 2380604.758 2428794.663 698.68790 996.53810 972.76062 0.0066629819 -199.12794 330.001 0.083334 494.378 308.371 0.01808666763 0.06213889530 0.0010850218 0.0023877457 2439332.266 2375423.067 2422686.652 710.14950 964.92032 967.87422 0.0066727676 -176.15234 331.003 0.083587 494.047 308.247 0.01797689314 0.06240356128 0.0010802467 0.0024020528 2433615.655 2370373.079 2416704.409 721.63389 933.08498 963.08842 0.0066822995 -153.83457 332.001 0.083839 493.726 308.127 0.01786660578 0.06266425354 0.0010753730 0.0024161265 2428065.841 2365494.474 2410895.449 733.04829 901.29021 958.44125 0.0066914994 -132.35326 333.003 0.084092 493.411 308.012 0.01775495648 0.06292300939 0.0010703635 0.0024300741 2422638.880 2360748.285 2405213.878 744.48124 869.29013 953.89600 0.0067004376 -111.53997 334.000 0.084344 493.105 307.903 0.01764285376 0.06317775236 0.0010652595 0.0024437811 2417377.769 2356171.783 2399704.805 755.84027 837.34408 949.48874 0.0067090406 -91.56119 335.002 0.084597 492.806 307.797 0.01752943382 0.06343047355 0.0010600220 0.0024573521 2412240.844 2351728.393 2394324.691 767.21343 805.20487 945.18465 0.0067173741 -72.26020 336.000 0.084849 492.516 307.697 0.01741561886 0.06367914512 0.0010546939 0.0024706759 2407268.793 2347452.987 2389116.239 778.50867 773.13284 941.01789 0.0067253697 -53.79131 337.002 0.085102 492.233 307.602 0.01730053117 0.06392571089 0.0010492345 0.0024838539 2402422.233 2343311.377 2384038.273 789.81345 740.87972 936.95551 0.0067330884 -36.00954 338.000 0.085354 491.959 307.511 0.01718510583 0.06416819251 0.0010436888 0.0024967780 2397739.549 2339336.046 2379131.086 801.03622 708.70665 933.02976 0.0067404669 -19.05697 339.002 0.085607 491.692 307.425 0.01706845204 0.06440848545 0.0010380144 0.0025095470 2393183.643 2335495.185 2374355.876 812.26379 676.36446 929.20960 0.0067475614 -2.80047 340.004 0.085860 491.434 307.344 0.01695105148 0.06464559257 0.0010322348 0.0025221051 2388773.449 2331804.608 2369732.552 823.44929 643.98686 925.51094 0.0067543399 12.68989 341.002 0.086112 491.185 307.268 0.01683339748 0.06487856735 0.0010263752 0.0025344001 2384525.598 2328277.755 2365278.615 834.54646 611.70811 921.94779 0.0067607753 27.35621 342.004 0.086365 490.942 307.196 0.01671458111 0.06510923081 0.0010203910 0.0025465260 2380406.435 2324886.376 2360958.841 845.64104 579.27807 918.49197 0.0067669169 41.31380 343.002 0.086617 490.709 307.129 0.01659556617 0.06533573197 0.0010143312 0.0025583831 2376448.579 2321657.025 2356807.492 856.64299 546.95908 915.17089 0.0067727142 54.45133 344.003 0.086870 490.484 307.067 0.01647543266 0.06555984098 0.0010081496 0.0025700619 2372620.676 2318563.817 2352791.734 867.63725 514.50059 911.95828 0.0067782115 66.87217 345.001 0.087122 490.268 307.010 0.01635515452 0.06577975916 0.0010018969 0.0025814666 2368953.041 2315630.950 2348943.422 878.53450 482.16509 908.87963 0.0067833635 78.47732 346.003 0.087375 490.059 306.957 0.01623380144 0.06599720489 0.0009955255 0.0025926841 2365416.623 2312834.895 2345232.117 889.41881 449.70185 905.91059 0.0067882097 89.35818 347.001 0.087627 489.859 306.909 0.01611235676 0.06621043255 0.0009890876 0.0026036225 2362039.433 2310197.505 2341687.261 900.20168 417.37333 903.07470 0.0067927102 99.42813 348.003 0.087880 489.667 306.865 0.01598988064 0.06642110777 0.0009825342 0.0026143652 2358794.728 2307697.599 2338280.823 910.96621 384.92879 900.34955 0.0067968994 108.76654 349.001 0.088132 489.484 306.826 0.01586736505 0.06662753876 0.0009759189 0.0026248240 2355708.217 2305354.695 2335039.829 921.62481 352.63046 897.75676 0.0068007429 117.29918 350.003 0.088385 489.309 306.792 0.01574386143 0.06683133747 0.0009691914 0.0026350786 2352755.467 2303149.953 2331938.660 932.25953 320.22778 895.27582 0.0068042700 125.09342 351.001 0.088637 489.143 306.762 0.01562036964 0.06703086671 0.0009624068 0.0026450450 2349959.886 2301100.561 2329001.931 942.78378 287.98263 892.92644 0.0068074518 132.08737 352.003 0.088890 488.985 306.737 0.01549593314 0.06722768384 0.0009555133 0.0026547992 2347299.356 2299190.016 2326206.435 953.27850 255.64480 890.69004 0.0068103125 138.33640 353.001 0.089142 488.836 306.717 0.01537155895 0.06742020700 0.0009485677 0.0026642611 2344794.980 2297433.183 2323574.375 963.65814 223.47561 888.58439 0.0068128288 143.79100 354.002 0.089395 488.696 306.701 0.01524628334 0.06760993805 0.0009415167 0.0026735029 2342426.962 2295815.886 2321084.967 974.00246 191.22540 886.59287 0.0068150197 148.49447 355.000 0.089647 488.564 306.690 0.01512111977 0.06779535121 0.0009344185 0.0026824488 2340214.102 2294350.679 2318757.999 984.22707 159.15476 884.73129 0.0068168673 152.40972 356.002 0.089900 488.440 306.683 0.01499509804 0.06797789194 0.0009272187 0.0026911670 2338138.926 2293025.703 2316575.113 994.41046 127.01479 882.98498 0.0068183857 155.56800 357.000 0.090152 488.326 306.681 0.01486923735 0.06815609130 0.0009199764 0.0026995859 2336217.930 2291851.207 2314553.682 1004.46945 95.06515 881.36784 0.0068195624 157.94458 358.002 0.090405 488.220 306.684 0.01474256181 0.06833133745 0.0009126365 0.0027077699 2334435.970 2290817.644 2312677.781 1014.48119 63.05788 879.86712 0.0068204064 159.55868 359.004 0.090658 488.122 306.691 0.01461559321 0.06850288978 0.0009052297 0.0027156824 2332801.064 2289929.739 2310955.861 1024.40287 31.12550 878.48958 0.0068209121 160.39975 360.002 0.090910 488.033 306.702 0.01448885792 0.06867006597 0.0008977880 0.0027232914 2331318.916 2289189.921 2309393.946 1034.19308 -0.60065 877.24005 0.0068210794 160.46954 Engine speed (Hz) = 11.0000000000 Output power (W) = 1765.1512013043 Heat into heater (W) = 11376.1238845162 Heat to regenerator (W) = -6.6071195509 Heat removal from cooler (W) = 9649.6405617172 Approximate Pumping loss (W) = -3001.6549562176 Thermal efficiency (%) = 15.5162797032 The average engine pressure (Pa) = 2981387.8974361843 The exp space work per cycle (J) = 1033.5764636939 The comp space work per cycle (J) = -873.1081726662 The net work per cycle (J) = 160.4682910277 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6471.4428929298 The expansion work for Vmin-to-Vmax (J) = 6631.9111839574 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 488.606 306.957 0.01451250785 0.06857690612 0.0008977908 0.0027232886 2337854.496 2287987.159 2312078.569 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.004 0.000232 488.523 306.976 0.01438460659 0.06874285959 0.0008902547 0.0027306549 2336472.207 2287481.401 2310608.911 9.73037 -31.91772 -1.17573 0.0068209095 -0.75780 2.002 0.000463 488.450 307.000 0.01425702921 0.06890434397 0.0008826914 0.0027377125 2335241.363 2287121.127 2309299.350 19.32132 -63.60752 -2.22338 0.0068204039 -2.27828 3.004 0.000695 488.385 307.029 0.01412869426 0.06906272929 0.0008750377 0.0027445205 2334151.483 2286902.967 2308138.740 28.85306 -95.33804 -3.15186 0.0068195583 -4.57389 4.002 0.000926 488.329 307.061 0.01400073102 0.06921662209 0.0008673620 0.0027510181 2333212.148 2286828.554 2307137.285 38.24061 -126.83011 -3.95303 0.0068183802 -7.62404 5.004 0.001158 488.281 307.098 0.01387205462 0.06936732633 0.0008596002 0.0027572596 2332415.421 2286896.990 2306286.522 47.56238 -158.35066 -4.63364 0.0068168598 -11.45425 6.002 0.001389 488.242 307.140 0.01374379720 0.06951351439 0.0008518214 0.0027631893 2331768.374 2287107.436 2305594.002 56.73516 -189.62232 -5.18765 0.0068150107 -16.03054 7.004 0.001621 488.212 307.186 0.01361487129 0.06965642316 0.0008439609 0.0027688566 2331265.622 2287461.459 2305053.954 65.83548 -220.91015 -5.61969 0.0068128175 -21.39150 8.002 0.001852 488.191 307.236 0.01348641111 0.06979479178 0.0008360885 0.0027742111 2330911.726 2287955.752 2304671.269 74.78202 -251.93874 -5.92584 0.0068102997 -27.48977 9.004 0.002084 488.179 307.291 0.01335732739 0.06992978898 0.0008281388 0.0027792974 2330703.862 2288594.336 2304442.877 83.64931 -282.97105 -6.10855 0.0068074362 -34.37695 10.002 0.002315 488.175 307.350 0.01322875568 0.07006022163 0.0008201825 0.0027840702 2330644.070 2289371.444 2304371.004 92.35801 -313.73387 -6.16605 0.0068042527 -41.99237 11.000 0.002546 488.180 307.413 0.01310016242 0.07018665063 0.0008121879 0.0027885505 2330731.399 2290289.259 2304454.592 100.94369 -344.35559 -6.09918 0.0068007385 -50.36273 12.002 0.002778 488.195 307.481 0.01297101364 0.07030956721 0.0008041227 0.0027927545 2330967.459 2291352.395 2304695.293 109.43977 -374.96213 -5.90662 0.0067968772 -59.52769 13.000 0.003009 488.217 307.553 0.01284244546 0.07042788152 0.0007960587 0.0027966447 2331350.503 2292551.411 2305091.320 117.77006 -405.28394 -5.58980 0.0067927034 -69.40673 14.003 0.003241 488.249 307.630 0.01271336765 0.07054258719 0.0007879287 0.0028002535 2331884.150 2293896.401 2305646.403 126.00372 -435.57778 -5.14573 0.0067881822 -80.08373 15.000 0.003472 488.290 307.710 0.01258491575 0.07065266446 0.0007798052 0.0028035488 2332564.116 2295375.476 2306356.070 134.06681 -465.57677 -4.57800 0.0067833539 -91.46496 16.003 0.003704 488.340 307.795 0.01245600056 0.07075903496 0.0007716203 0.0028065580 2333396.619 2297001.138 2307226.795 142.02615 -495.53485 -3.88142 0.0067781783 -103.64713 17.001 0.003935 488.398 307.884 0.01232775626 0.07086075002 0.0007634470 0.0028092544 2334374.828 2298759.058 2308251.411 149.81013 -525.18799 -3.06173 0.0067727014 -116.52335 18.003 0.004167 488.465 307.977 0.01219909553 0.07095865804 0.0007552172 0.0028116604 2335507.575 2300664.126 2309439.147 157.48316 -554.78709 -2.11154 0.0067668776 -130.20312 19.001 0.004398 488.542 308.075 0.01207115044 0.07105188249 0.0007470043 0.0028137545 2336785.471 2302699.577 2310780.133 164.97608 -584.07117 -1.03875 0.0067607588 -144.56645 20.003 0.004630 488.627 308.177 0.01194283633 0.07114119732 0.0007387396 0.0028155543 2338219.978 2304882.675 2312286.368 172.35074 -613.28789 0.16624 0.0067542939 -159.73553 21.001 0.004861 488.721 308.282 0.01181528240 0.07122579910 0.0007304969 0.0028170437 2339799.141 2307194.220 2313945.273 179.54055 -642.17951 1.49336 0.0067475407 -175.57733 22.003 0.005093 488.825 308.393 0.01168740750 0.07130638609 0.0007222075 0.0028182352 2341537.067 2309653.827 2315771.633 186.60471 -670.99022 2.95445 0.0067404426 -192.22668 23.001 0.005324 488.937 308.507 0.01156033717 0.07138222896 0.0007139451 0.0028191180 2343419.227 2312239.867 2317750.148 193.47931 -699.46570 4.53726 0.0067330631 -209.53760 24.003 0.005556 489.058 308.625 0.01143299463 0.07145394890 0.0007056409 0.0028196996 2345462.393 2314974.278 2319898.413 200.22080 -727.84649 6.25588 0.0067253406 -227.65742 25.001 0.005787 489.188 308.747 0.01130650098 0.07152089165 0.0006973690 0.0028199748 2347649.451 2317833.002 2322198.396 206.76800 -755.88187 8.09586 0.0067173438 -246.42730 26.004 0.006019 489.328 308.874 0.01117978463 0.07158359984 0.0006890602 0.0028199459 2349999.864 2320840.268 2324670.529 213.17452 -783.80848 10.07357 0.0067090061 -266.00700 27.001 0.006250 489.476 309.004 0.01105396152 0.07164149523 0.0006807888 0.0028196131 2352493.925 2323969.587 2327294.043 219.38206 -811.37942 12.17238 0.0067004019 -286.22490 28.004 0.006482 489.634 309.138 0.01092796610 0.07169504018 0.0006724856 0.0028189737 2355153.817 2327247.435 2330092.236 225.44123 -838.82718 14.41093 0.0066914593 -307.25307 29.002 0.006713 489.800 309.276 0.01080290838 0.07174373321 0.0006642247 0.0028180333 2357957.236 2330644.879 2333041.605 231.29670 -865.90884 16.77043 0.0066822580 -328.90718 30.004 0.006945 489.976 309.419 0.01067772976 0.07178795437 0.0006559371 0.0028167842 2360929.128 2334190.582 2336168.356 236.99598 -892.85251 19.27183 0.0066727213 -351.37155 31.002 0.007176 490.160 309.564 0.01055353355 0.07182727939 0.0006476968 0.0028152374 2364044.597 2337853.141 2339446.264 242.48675 -919.41942 21.89416 0.0066629342 -374.44924 32.004 0.007408 490.354 309.715 0.01042926907 0.07186200321 0.0006394350 0.0028133801 2367331.410 2341663.306 2342904.517 247.81330 -945.83298 24.66076 0.0066528151 -398.33664 33.002 0.007639 490.557 309.868 0.01030603228 0.07189177834 0.0006312254 0.0028112288 2370762.108 2345587.130 2346514.207 252.92640 -971.85872 27.54851 0.0066424542 -422.82434 34.004 0.007871 490.769 310.026 0.01018278142 0.07191681009 0.0006229994 0.0028087655 2374367.384 2349657.271 2350307.640 257.86686 -997.71497 30.58326 0.0066317649 -448.12068 35.002 0.008102 490.990 310.187 0.01006060458 0.07193682463 0.0006148305 0.0028060123 2378117.305 2353837.037 2354253.368 262.58850 -1023.17153 33.73984 0.0066208427 -474.00386 36.004 0.008334 491.221 310.352 0.00993847040 0.07195192723 0.0006066503 0.0028029461 2382045.732 2358160.521 2358387.157 267.12829 -1048.44099 37.04687 0.0066095964 -500.69408 37.002 0.008565 491.461 310.519 0.00981745923 0.07196190201 0.0005985320 0.0027995943 2386120.600 2362587.477 2362675.621 271.44264 -1073.29684 40.47764 0.0065981263 -527.95723 38.000 0.008796 491.710 310.690 0.00969707325 0.07196669205 0.0005904427 0.0027959453 2390361.184 2367131.004 2367140.185 275.54558 -1097.83776 44.04929 0.0065863880 -555.90274 39.002 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2392238.020 2452232.660 657.18023 1094.28135 1017.53078 0.0066318283 -305.64335 327.004 0.075695 496.008 308.843 0.01843805474 0.06119399753 0.0010985869 0.0023439291 2464114.562 2386678.729 2445609.309 668.71507 1062.80383 1012.23210 0.0066425159 -280.43632 328.002 0.075926 495.656 308.708 0.01833169369 0.06146728705 0.0010941912 0.0023586840 2457999.720 2381296.082 2439162.173 680.18429 1031.34607 1007.07439 0.0066528752 -256.07543 329.004 0.076158 495.311 308.577 0.01822382716 0.06173895684 0.0010896543 0.0023733383 2452001.074 2376043.202 2432835.739 691.68528 999.64243 1002.01325 0.0066629927 -232.35233 330.002 0.076389 494.975 308.451 0.01811541174 0.06200663071 0.0010850168 0.0023877613 2446170.475 2370965.094 2426684.835 703.11697 967.97288 997.09252 0.0066727780 -209.47396 331.004 0.076621 494.645 308.330 0.01800553548 0.06227259235 0.0010802397 0.0024020733 2440457.569 2366017.510 2420656.482 714.57633 936.06986 992.26984 0.0066823130 -187.24455 332.002 0.076852 494.324 308.214 0.01789517200 0.06253451592 0.0010753658 0.0024161467 2434911.725 2361242.815 2414802.906 725.96257 904.21495 987.58698 0.0066915125 -165.85790 333.004 0.077084 494.010 308.103 0.01778339219 0.06279463641 0.0010703544 0.0024300989 2429485.037 2356599.381 2409073.670 737.37223 872.13887 983.00359 0.0067004534 -145.13094 334.002 0.077315 493.704 307.997 0.01767118581 0.06305067931 0.0010652502 0.0024438056 2424224.393 2352126.948 2403518.395 748.70486 840.12460 978.55937 0.0067090559 -125.24429 335.000 0.077546 493.407 307.895 0.01755809890 0.06330374070 0.0010600334 0.0024573231 2419106.193 2347804.884 2398112.279 760.00759 808.04044 974.23448 0.0067173565 -106.10881 336.002 0.077778 493.116 307.799 0.01744366215 0.06355486539 0.0010546822 0.0024707045 2414109.298 2343615.162 2392833.097 771.32702 775.75343 970.01113 0.0067253867 -87.64830 337.000 0.078009 492.834 307.707 0.01732888775 0.06380185776 0.0010492445 0.0024838304 2409276.874 2339593.609 2387726.555 782.56338 743.54823 965.92590 0.0067330748 -70.02350 338.003 0.078241 492.559 307.620 0.01721280770 0.06404682572 0.0010436747 0.0024968104 2404567.168 2335705.109 2382748.627 793.81174 711.15230 961.94356 0.0067404851 -53.08334 339.000 0.078472 492.294 307.538 0.01709644807 0.06428762750 0.0010380226 0.0025095288 2400020.863 2331982.892 2377942.404 804.97288 678.85115 958.09858 0.0067475514 -36.97527 340.003 0.078704 492.035 307.460 0.01697882684 0.06452631810 0.0010322411 0.0025220916 2395598.675 2328394.436 2373266.444 816.14117 646.37136 954.35781 0.0067543327 -21.56112 341.001 0.078935 491.785 307.388 0.01686098311 0.06476081051 0.0010263816 0.0025343869 2391338.804 2324970.384 2368761.221 827.21803 613.99907 950.75363 0.0067607686 -6.97497 342.003 0.079167 491.542 307.320 0.01674192174 0.06499310572 0.0010203953 0.0025465173 2387204.445 2321680.800 2364387.887 838.29701 581.46016 947.25497 0.0067669126 6.90833 343.001 0.079398 491.309 307.256 0.01662269398 0.06522117240 0.0010143356 0.0025583746 2383231.315 2318553.752 2360184.294 849.28025 549.04120 943.89209 0.0067727102 19.96812 344.003 0.079630 491.083 307.198 0.01650229243 0.06544695643 0.0010081518 0.0025700577 2379385.091 2315561.879 2356114.196 860.26044 516.46760 940.63601 0.0067782095 32.31655 345.001 0.079861 490.866 307.144 0.01638177965 0.06566848305 0.0010018992 0.0025814625 2375699.005 2312730.686 2352212.825 871.14053 484.02617 937.51492 0.0067833617 43.84635 346.003 0.080093 490.656 307.095 0.01626013686 0.06588764193 0.0009955255 0.0025926841 2372141.223 2310035.378 2348446.543 882.01224 451.44205 934.50189 0.0067882097 54.65661 347.001 0.080324 490.455 307.051 0.01613843708 0.06610251581 0.0009890876 0.0026036225 2368742.494 2307498.908 2344847.959 892.77940 419.00208 931.62302 0.0067927102 64.65353 348.003 0.080556 490.262 307.011 0.01601565102 0.06631493709 0.0009825318 0.0026143690 2365473.473 2305099.036 2341386.055 903.53271 386.43136 928.85350 0.0067969008 73.92311 349.001 0.080787 490.078 306.976 0.01589286131 0.06652304686 0.0009759165 0.0026248277 2362362.428 2302856.175 2338090.811 914.17697 354.01655 926.21730 0.0068007442 82.38498 350.004 0.081019 489.902 306.945 0.01576902901 0.06672861921 0.0009691865 0.0026350859 2359382.511 2300750.631 2334933.835 924.80178 321.48290 923.69172 0.0068042724 90.11206 351.001 0.081250 489.735 306.919 0.01564524555 0.06692985445 0.0009624018 0.0026450521 2356559.504 2298800.286 2331942.480 935.31297 289.11673 921.29864 0.0068074540 97.03744 352.004 0.081482 489.575 306.898 0.01552046318 0.06712846732 0.0009555059 0.0026548096 2353869.061 2296987.982 2329090.987 945.79895 256.64365 919.01745 0.0068103154 103.22091 353.002 0.081713 489.425 306.881 0.01539578133 0.06732271826 0.0009485601 0.0026642712 2351334.479 2295329.080 2326404.080 956.16670 224.34941 916.86792 0.0068128313 108.60904 354.004 0.081945 489.282 306.869 0.01527014427 0.06751426158 0.0009415066 0.0026735160 2348933.919 2293808.950 2323858.638 966.50335 191.96019 914.83157 0.0068150226 113.24849 355.002 0.082176 489.149 306.861 0.01514465861 0.06770141871 0.0009344082 0.0026824615 2346688.189 2292440.437 2321476.753 976.71714 159.76099 912.92606 0.0068168697 117.09930 356.004 0.082408 489.023 306.858 0.01501826149 0.06788578256 0.0009272057 0.0026911824 2344577.966 2291211.433 2319237.954 986.89379 127.47880 911.13502 0.0068183881 120.19498 357.002 0.082639 488.907 306.860 0.01489206590 0.06806573639 0.0009199633 0.0026996009 2342621.567 2290132.275 2317161.695 996.94288 95.39763 909.47401 0.0068195642 122.50906 358.004 0.082871 488.798 306.866 0.01476500268 0.06824281068 0.0009126206 0.0027077872 2340802.187 2289193.366 2315230.160 1006.94869 63.24547 907.92878 0.0068204079 124.06190 359.002 0.083102 488.699 306.876 0.01463819042 0.06841545142 0.0009052431 0.0027156684 2339135.650 2288402.545 2313460.166 1016.82222 31.30519 906.51279 0.0068209115 124.84050 360.004 0.083334 488.608 306.891 0.01451055448 0.06858512560 0.0008977692 0.0027233103 2337607.678 2287752.714 2311836.559 1026.64619 -0.69402 905.21390 0.0068210794 124.85209 Engine speed (Hz) = 12.0000000000 Output power (W) = 1498.2055899619 Heat into heater (W) = 12319.7542517130 Heat to regenerator (W) = -8.3282254744 Heat removal from cooler (W) = 10862.5668366863 Approximate Pumping loss (W) = -3823.2390777267 Thermal efficiency (%) = 12.1610022355 The average engine pressure (Pa) = 2982475.6534109246 The exp space work per cycle (J) = 1025.9458996256 The comp space work per cycle (J) = -901.0954337954 The net work per cycle (J) = 124.8504658302 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6492.4569095074 The expansion work for Vmin-to-Vmax (J) = 6617.3073753376 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 489.226 307.152 0.01453617858 0.06848439051 0.0008977800 0.0027232994 2344667.611 2286340.153 2314737.506 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.004 0.000215 489.141 307.175 0.01440798679 0.06865213562 0.0008902492 0.0027306601 2343243.288 2285934.844 2313209.872 9.71382 -32.04163 -1.22211 0.0068209093 -0.82073 2.001 0.000428 489.065 307.202 0.01428016199 0.06881535104 0.0008826941 0.0027377100 2341969.509 2285673.629 2311843.010 19.28538 -63.84439 -2.31560 0.0068204041 -2.40099 3.003 0.000642 488.997 307.234 0.01415152748 0.06897553960 0.0008750460 0.0027445133 2340834.530 2285553.767 2310624.325 28.80168 -95.70107 -3.29055 0.0068195594 -4.75492 4.004 0.000856 488.938 307.271 0.01402270641 0.06913189619 0.0008673426 0.0027510342 2339844.899 2285576.527 2309560.844 38.21467 -127.45628 -4.14133 0.0068183768 -7.87614 5.001 0.001069 488.888 307.312 0.01389432538 0.06928368704 0.0008596226 0.0027572421 2339004.464 2285740.516 2308656.707 47.47821 -158.95653 -4.86464 0.0068168647 -11.74382 6.003 0.001283 488.847 307.357 0.01376520233 0.06943230710 0.0008518158 0.0027631935 2338305.586 2286046.981 2307903.690 56.67637 -190.49177 -5.46705 0.0068150093 -16.39336 7.004 0.001497 488.814 307.407 0.01363596311 0.06957700404 0.0008439609 0.0027688566 2337752.817 2286495.185 2307306.680 65.76247 -221.90798 -5.94466 0.0068128175 -21.80737 8.001 0.001710 488.790 307.460 0.01350723567 0.06971709851 0.0008360971 0.0027742055 2337347.993 2287081.744 2306867.660 74.69190 -253.05337 -6.29588 0.0068103026 -27.95410 9.003 0.001924 488.774 307.519 0.01337783464 0.06985387489 0.0008281531 0.0027792886 2337087.606 2287811.860 2306582.809 83.54556 -284.21455 -6.52376 0.0068074417 -34.89009 10.004 0.002138 488.767 307.582 0.01324838758 0.06998663472 0.0008201681 0.0027840785 2336974.205 2288682.799 2306454.862 92.27826 -315.23910 -6.62612 0.0068042467 -42.58701 11.001 0.002351 488.769 307.648 0.01311952290 0.07011475422 0.0008121822 0.0027885537 2337007.608 2289689.190 2306483.643 100.84708 -345.97718 -6.60309 0.0068007358 -51.00221 12.002 0.002565 488.780 307.720 0.01299005389 0.07023940440 0.0008041227 0.0027927545 2337188.463 2290840.157 2306669.757 109.32947 -376.71153 -6.45420 0.0067968772 -60.21330 13.004 0.002779 488.800 307.795 0.01286060891 0.07035994180 0.0007960296 0.0027966582 2337517.310 2292130.971 2307013.786 117.68189 -407.29158 -6.17898 0.0067926878 -70.18102 14.001 0.002992 488.828 307.874 0.01273181588 0.07047579939 0.0007879433 0.0028002473 2337991.940 2293554.278 2307513.380 125.86321 -437.56963 -5.77930 0.0067881906 -80.85191 15.002 0.003206 488.865 307.958 0.01260248880 0.07058803193 0.0007797905 0.0028035545 2338617.191 2295123.089 2308173.609 133.94720 -467.82407 -5.25112 0.0067833449 -92.32448 16.004 0.003420 488.911 308.047 0.01247325587 0.07069605212 0.0007716114 0.0028065611 2339391.582 2296830.680 2308992.890 141.89209 -497.90640 -4.59569 0.0067781725 -104.54863 17.001 0.003633 488.966 308.139 0.01234474360 0.07079935085 0.0007634470 0.0028092544 2340310.867 2298667.718 2309966.691 149.65868 -527.67132 -3.81665 0.0067727014 -117.46011 18.002 0.003847 489.030 308.235 0.01221576869 0.07089886363 0.0007552232 0.0028116587 2341384.112 2300651.056 2311104.582 157.31682 -557.39232 -2.90634 0.0067668819 -131.17822 19.004 0.004061 489.103 308.336 0.01208695831 0.07099406045 0.0007469806 0.0028137601 2342607.809 2302771.973 2312402.810 164.82662 -586.92321 -1.86776 0.0067607407 -145.64205 20.001 0.004274 489.184 308.440 0.01195893658 0.07108449133 0.0007387604 0.0028155502 2343975.659 2305019.159 2313854.649 172.15094 -616.12130 -0.70629 0.0067543106 -160.77666 21.002 0.004488 489.275 308.549 0.01183052498 0.07117096933 0.0007304880 0.0028170452 2345501.004 2307413.254 2315474.215 179.35545 -645.25468 0.58937 0.0067475332 -176.72196 22.004 0.004702 489.375 308.662 0.01170234867 0.07125302284 0.0007222045 0.0028182355 2347178.298 2309943.538 2317255.577 186.40229 -674.17968 2.01446 0.0067404400 -193.40628 23.000 0.004915 489.483 308.779 0.01157502853 0.07133026217 0.0007139511 0.0028191175 2348999.180 2312596.716 2319189.805 193.25650 -702.75647 3.56184 0.0067330686 -210.74410 24.002 0.005129 489.601 308.900 0.01144739281 0.07140337443 0.0007056529 0.0028196990 2350981.322 2315397.149 2321295.619 199.97930 -731.24718 5.24649 0.0067253519 -228.89569 25.003 0.005343 489.727 309.025 0.01132006380 0.07147194741 0.0006973511 0.0028199751 2353117.132 2318332.102 2323564.903 206.53497 -759.51089 7.06192 0.0067173262 -247.77875 26.000 0.005556 489.863 309.153 0.01119365817 0.07153565271 0.0006890871 0.0028199465 2355396.186 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0.064744 507.152 313.639 0.02063789538 0.05372644803 0.0011648356 0.0019521259 2659687.628 2555066.309 2649059.548 385.51441 1771.23664 1202.61591 0.0063169615 -1112.41350 304.002 0.064958 506.639 313.380 0.02056496928 0.05405543368 0.0011636667 0.0019694314 2650268.887 2546016.197 2639169.978 396.91607 1744.52267 1194.70426 0.0063330981 -1071.37526 305.003 0.065172 506.132 313.126 0.02049030158 0.05438275054 0.0011623543 0.0019866913 2640982.848 2537124.178 2629412.124 408.33522 1717.51683 1186.89797 0.0063490456 -1030.97699 306.005 0.065386 505.631 312.878 0.02041392152 0.05470834086 0.0011608988 0.0020039002 2631830.133 2528390.312 2619787.088 419.77091 1690.22712 1179.19794 0.0063647990 -991.22498 307.002 0.065599 505.139 312.636 0.02033622695 0.05503063928 0.0011593085 0.0020209729 2622853.164 2519854.329 2610339.961 431.16862 1662.79095 1171.64024 0.0063802814 -952.30647 308.003 0.065813 504.650 312.399 0.02025651741 0.05535261713 0.0011575688 0.0020380645 2613968.206 2511436.075 2600983.039 442.63433 1634.95859 1164.15470 0.0063956333 -913.86187 309.005 0.066027 504.168 312.168 0.02017518287 0.05567270307 0.0011556875 0.0020550895 2605218.242 2503175.959 2591761.946 454.11351 1606.86606 1156.77783 0.0064107770 -876.08112 310.001 0.066240 503.694 311.943 0.02009264362 0.05598936233 0.0011536749 0.0020719636 2596643.710 2495111.407 2582719.728 465.55131 1578.65419 1149.54406 0.0064256385 -839.14154 311.003 0.066454 503.225 311.722 0.02000815355 0.05630551682 0.0011515128 0.0020888401 2588164.563 2487166.609 2573772.351 477.05396 1550.06580 1142.38615 0.0064403529 -802.70158 312.004 0.066668 502.762 311.507 0.01992212541 0.05661962484 0.0011492108 0.0021056345 2579821.814 2479379.679 2564963.415 488.56660 1521.24046 1135.33901 0.0064548453 -766.94136 313.001 0.066881 502.307 311.298 0.01983500061 0.05693018398 0.0011467815 0.0021222637 2571653.906 2471785.764 2556333.901 500.03412 1492.32209 1128.43539 0.0064690452 -732.02811 314.003 0.067095 501.857 311.093 0.01974598978 0.05724006217 0.0011442028 0.0021388789 2563584.532 2464313.403 2547803.529 511.56290 1463.04671 1121.61110 0.0064830817 -697.63877 315.004 0.067309 501.414 310.894 0.01965552716 0.05754774920 0.0011414866 0.0021553966 2555652.727 2456998.437 2539413.855 523.09779 1433.55709 1114.89936 0.0064968832 -663.94346 316.001 0.067522 500.979 310.701 0.01956407403 0.05785177675 0.0011386472 0.0021717354 2547894.932 2449873.754 2531203.774 534.58349 1403.99996 1108.33129 0.0065103826 -631.09916 317.003 0.067736 500.549 310.512 0.01947080010 0.05815495444 0.0011356590 0.0021880437 2540238.625 2442872.242 2523096.840 546.12642 1374.10516 1101.84575 0.0065237027 -598.80174 318.004 0.067950 500.126 310.328 0.01937615987 0.05845580529 0.0011325358 0.0022042395 2532720.852 2436027.491 2515132.542 557.67121 1344.01835 1095.47431 0.0065367754 -567.21114 319.001 0.068163 499.712 310.151 0.01928063324 0.05875289669 0.0011292942 0.0022202431 2525376.054 2429370.148 2507347.678 569.16239 1313.88873 1089.24642 0.0065495374 -536.47394 320.003 0.068377 499.303 309.978 0.01918335136 0.05904897584 0.0011259047 0.0022361998 2518135.528 2422837.448 2499669.700 580.70634 1283.44061 1083.10403 0.0065621045 -506.30534 321.004 0.068591 498.901 309.810 0.01908478772 0.05934260064 0.0011223832 0.0022520294 2511034.331 2416460.747 2492136.019 592.24750 1252.82223 1077.07709 0.0065744126 -476.85493 322.001 0.068804 498.508 309.648 0.01898543964 0.05963237567 0.0011187482 0.0022676539 2504104.897 2410268.475 2484781.321 603.73035 1222.18496 1071.19333 0.0065864021 -448.25880 323.002 0.069018 498.121 309.490 0.01888440206 0.05992098185 0.0011149667 0.0022832153 2497282.379 2404202.204 2477537.018 615.26104 1191.24818 1065.39789 0.0065981820 -420.25177 324.004 0.069232 497.740 309.338 0.01878216624 0.06020701353 0.0011110566 0.0022986351 2490599.836 2398291.075 2470438.427 626.78395 1160.16242 1059.71902 0.0066096917 -392.97301 325.001 0.069445 497.369 309.191 0.01867924572 0.06048911383 0.0011070381 0.0023138377 2484087.703 2392561.324 2463518.119 638.24353 1129.08091 1054.18277 0.0066208759 -366.54794 326.002 0.069659 497.003 309.049 0.01857470152 0.06076989380 0.0011028750 0.0023289612 2477685.010 2386958.843 2456711.515 649.74561 1097.71872 1048.73749 0.0066318361 -340.73139 327.004 0.069873 496.644 308.911 0.01846904151 0.06104798562 0.0010985869 0.0023439291 2471422.821 2381510.579 2450051.827 661.23453 1066.22837 1043.40974 0.0066425159 -315.65192 328.001 0.070086 496.295 308.780 0.01836279427 0.06132207230 0.0010941960 0.0023586681 2465329.571 2376240.596 2443569.507 672.65485 1034.76467 1038.22388 0.0066528642 -291.42424 329.002 0.070300 495.951 308.652 0.01825498921 0.06159469156 0.0010896626 0.0023733121 2459348.189 2371099.086 2437204.029 684.11189 1003.03898 1033.13150 0.0066629747 -267.82341 330.004 0.070514 495.615 308.530 0.01814614962 0.06186451476 0.0010850083 0.0023877871 2453507.748 2366110.825 2430986.496 695.55006 971.20549 1028.15747 0.0066727954 -244.96733 331.001 0.070727 495.288 308.413 0.01803681798 0.06213026605 0.0010802571 0.0024020222 2447834.681 2361297.722 2424945.232 706.91407 939.42034 1023.32446 0.0066822793 -222.95989 332.002 0.070941 494.967 308.301 0.01792599435 0.06239440652 0.0010753658 0.0024161467 2442275.840 2356614.252 2419023.806 718.30861 907.39174 1018.58732 0.0066915125 -201.59663 333.004 0.071155 494.653 308.193 0.01781421631 0.06265564803 0.0010703581 0.0024300890 2436858.304 2352083.036 2413251.206 729.67823 875.27529 1013.96924 0.0067004471 -180.98469 334.000 0.071368 494.349 308.091 0.01770203910 0.06291275701 0.0010652595 0.0024437811 2431606.509 2347723.849 2407653.630 740.96791 843.22819 1009.49118 0.0067090406 -161.21707 335.002 0.071582 494.051 307.993 0.01758843569 0.06316811482 0.0010600239 0.0024573473 2426471.247 2343495.426 2402178.770 752.28152 810.95605 1005.11129 0.0067173712 -142.11000 336.003 0.071796 493.761 307.900 0.01747395680 0.06342047499 0.0010546764 0.0024707188 2421477.605 2339418.252 2396853.499 763.56384 778.61562 1000.85107 0.0067253952 -123.75980 337.000 0.072009 493.480 307.813 0.01735916937 0.06366864740 0.0010492445 0.0024838304 2416648.023 2335509.987 2391701.884 774.76019 746.36490 996.72978 0.0067330748 -106.24852 338.002 0.072223 493.205 307.729 0.01724302146 0.06391493069 0.0010436787 0.0024968012 2411937.249 2331733.602 2386675.776 785.97349 713.90745 992.70889 0.0067404799 -89.41326 339.003 0.072437 492.939 307.651 0.01712607586 0.06415812121 0.0010380062 0.0025095652 2407368.380 2328107.464 2381799.926 797.14882 681.40091 988.80821 0.0067475713 -73.33943 340.000 0.072650 492.681 307.578 0.01700891011 0.06439707339 0.0010322558 0.0025220603 2402961.864 2324647.135 2377096.272 808.23196 649.00381 985.04529 0.0067543161 -58.09812 341.002 0.072864 492.430 307.509 0.01689044956 0.06463400024 0.0010263752 0.0025344001 2398676.417 2321319.797 2372520.849 819.32467 616.41822 981.38495 0.0067607753 -43.54743 342.003 0.073078 492.188 307.445 0.01677126798 0.06486774206 0.0010203932 0.0025465216 2394533.149 2318141.715 2368096.286 830.37245 583.80241 977.84530 0.0067669148 -29.76181 343.000 0.073291 491.954 307.386 0.01665195246 0.06509719889 0.0010143400 0.0025583661 2390550.518 2315126.372 2363842.392 841.32163 551.31518 974.44219 0.0067727061 -16.80134 344.002 0.073505 491.727 307.331 0.01653140781 0.06532449532 0.0010081608 0.0025700411 2386691.221 2312245.133 2359719.409 852.27261 518.65766 971.14380 0.0067782019 -4.54526 345.003 0.073719 491.509 307.281 0.01641021771 0.06554851669 0.0010018856 0.0025814869 2382974.384 2309512.179 2355747.844 863.17143 485.98849 967.96655 0.0067833725 6.94297 346.005 0.073933 491.299 307.236 0.01628840717 0.06576923333 0.0009955163 0.0025927001 2379400.104 2306927.193 2351927.878 874.01563 453.31382 964.91058 0.0067882164 17.66261 347.001 0.074146 491.097 307.195 0.01616657442 0.06598560773 0.0009890853 0.0026036264 2375984.187 2304500.903 2348276.476 884.75242 420.79242 961.98945 0.0067927117 27.56830 348.003 0.074360 490.903 307.159 0.01604360018 0.06619964230 0.0009825342 0.0026143652 2372694.661 2302210.215 2344759.531 895.48010 388.12499 959.17590 0.0067968994 36.75250 349.005 0.074574 490.718 307.128 0.01592007975 0.06641028411 0.0009758949 0.0026248612 2369548.006 2300066.554 2341394.716 906.14558 355.47028 956.48405 0.0068007561 45.16644 350.001 0.074787 490.541 307.102 0.01579661853 0.06661654366 0.0009692011 0.0026350641 2366558.038 2298078.602 2338196.866 916.69689 322.98678 953.92577 0.0068042652 52.77580 351.003 0.075001 490.372 307.080 0.01567208164 0.06682032868 0.0009623920 0.0026450663 2363696.801 2296227.389 2335136.133 927.23050 290.37547 951.47718 0.0068074583 59.65175 352.004 0.075215 490.211 307.062 0.01554707192 0.06702063371 0.0009555009 0.0026548165 2360978.791 2294522.288 2332228.066 937.69410 257.79489 949.15073 0.0068103174 65.75656 353.001 0.075428 490.059 307.050 0.01542220092 0.06721651834 0.0009485626 0.0026642679 2358415.835 2292969.945 2329485.368 948.03664 225.40299 946.95657 0.0068128305 71.06696 354.003 0.075642 489.915 307.041 0.01529632026 0.06740979292 0.0009415142 0.0026735062 2355984.005 2291555.488 2326882.469 958.35257 192.90157 944.87425 0.0068150204 75.63278 355.004 0.075856 489.779 307.038 0.01517003929 0.06759950057 0.0009343902 0.0026824838 2353695.812 2290286.249 2324432.795 968.59045 160.44873 942.91451 0.0068168740 79.42734 356.001 0.076069 489.652 307.039 0.01504397476 0.06778475093 0.0009272265 0.0026911577 2351561.096 2289166.851 2322146.911 978.70029 128.20164 941.08580 0.0068183842 82.43842 357.003 0.076283 489.533 307.044 0.01491696685 0.06796725444 0.0009199581 0.0026996069 2349559.971 2288186.494 2320003.551 988.77427 95.86341 939.37111 0.0068195649 84.69450 358.004 0.076497 489.423 307.054 0.01478963045 0.06814610376 0.0009126206 0.0027077872 2347702.965 2287350.478 2318014.012 998.76197 63.59147 937.77948 0.0068204079 86.17994 359.001 0.076710 489.322 307.068 0.01466258653 0.06832045969 0.0009052511 0.0027156600 2345997.922 2286661.414 2316186.720 1008.61455 31.54198 936.31765 0.0068209112 86.89356 360.003 0.076924 489.228 307.087 0.01453466586 0.06849193009 0.0008977826 0.0027232968 2344429.020 2286112.544 2314504.736 1018.42173 -0.58012 934.97206 0.0068210794 86.84251 Engine speed (Hz) = 13.0000000000 Output power (W) = 1128.9260727755 Heat into heater (W) = 13239.4824421925 Heat to regenerator (W) = -7.5416037760 Heat removal from cooler (W) = 12154.6368099587 Approximate Pumping loss (W) = -4774.4846706307 Thermal efficiency (%) = 8.5269652927 The average engine pressure (Pa) = 2983594.6266141864 The exp space work per cycle (J) = 1017.8149954584 The comp space work per cycle (J) = -930.9745283219 The net work per cycle (J) = 86.8404671365 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6514.8916473235 The expansion work for Vmin-to-Vmax (J) = 6601.7321144600 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 489.892 307.351 0.01456221785 0.06838348813 0.0008977962 0.0027232832 2352023.933 2284467.611 2317628.880 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.004 0.000199 489.804 307.379 0.01443343486 0.06855353437 0.0008902547 0.0027306549 2350551.927 2284169.148 2316035.205 9.71694 -32.24490 -1.27494 0.0068209095 -0.88923 2.002 0.000397 489.726 307.410 0.01430506022 0.06871897548 0.0008826914 0.0027377125 2349229.976 2284013.984 2314603.618 19.28851 -64.23982 -2.42021 0.0068204039 -2.53799 3.005 0.000596 489.655 307.446 0.01417582132 0.06888145093 0.0008750322 0.0027445253 2348044.990 2284000.221 2313319.951 28.80847 -96.30192 -3.44714 0.0068195575 -4.96224 4.002 0.000794 489.594 307.487 0.01404704096 0.06903929615 0.0008673565 0.0027510227 2347009.153 2284127.666 2312197.404 38.17823 -128.10298 -4.34518 0.0068183792 -8.13690 5.000 0.000992 489.541 307.532 0.01391809401 0.06919330541 0.0008596282 0.0027572377 2346116.433 2284395.558 2311229.444 47.44297 -159.79838 -5.11955 0.0068168659 -12.07139 6.003 0.001191 489.496 307.581 0.01378835190 0.06934419514 0.0008518102 0.0027631976 2345363.713 2284805.977 2310412.677 56.64570 -191.54139 -5.77296 0.0068150078 -16.79044 7.001 0.001389 489.460 307.634 0.01365914240 0.06949041643 0.0008439835 0.0027688408 2344758.872 2285354.453 2309755.645 65.69098 -223.00696 -6.29859 0.0068128243 -22.24566 8.004 0.001588 489.432 307.692 0.01352918432 0.06963341337 0.0008360715 0.0027742224 2344296.135 2286046.175 2309252.056 74.66715 -254.50690 -6.70146 0.0068102939 -28.49106 9.002 0.001786 489.413 307.755 0.01339980754 0.06977171579 0.0008281560 0.0027792868 2343980.498 2286873.834 2308907.329 83.48100 -285.71862 -6.97724 0.0068074427 -35.46274 10.000 0.001984 489.403 307.821 0.01327038289 0.06990601901 0.0008201998 0.0027840602 2343809.634 2287840.194 2308718.908 92.17492 -316.79472 -7.12798 0.0068042600 -43.18894 11.003 0.002183 489.402 307.892 0.01314028022 0.07003693712 0.0008121648 0.0027885630 2343784.160 2288950.813 2308687.414 100.78884 -347.88505 -7.15317 0.0068007279 -51.71311 12.001 0.002381 489.409 307.967 0.01301083084 0.07016312028 0.0008041343 0.0027927487 2343904.729 2290194.146 2308813.562 109.23315 -378.67113 -7.05225 0.0067968830 -60.94817 13.004 0.002580 489.425 308.046 0.01288075110 0.07028580836 0.0007960296 0.0027966582 2344172.977 2291582.356 2309099.044 117.59005 -409.45780 -6.82387 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-1732.07752 291.000 0.057738 514.277 317.174 0.02138790712 0.04951986305 0.0011675953 0.0017431518 2788461.242 2667064.221 2782559.836 244.61539 2066.94790 1338.55709 0.0061107471 -1683.72073 292.003 0.057937 513.703 316.845 0.02133853277 0.04986335308 0.0011681617 0.0017606159 2777574.840 2656170.412 2771200.456 255.70222 2044.47395 1329.46959 0.0061287776 -1635.65867 293.001 0.058135 513.138 316.524 0.02128732160 0.05020431428 0.0011685811 0.0017780103 2766864.168 2645487.778 2760009.687 266.75881 2021.72011 1320.51697 0.0061465913 -1588.38348 294.004 0.058334 512.574 316.208 0.02123378425 0.05054611533 0.0011688575 0.0017955053 2756222.078 2634908.974 2748876.324 277.89643 1998.46491 1311.61028 0.0061643628 -1541.42656 295.002 0.058532 512.018 315.899 0.02117848664 0.05088524785 0.0011689881 0.0018129199 2745756.515 2624540.812 2737914.009 289.00267 1974.95038 1302.84043 0.0061819080 -1495.26843 296.005 0.058731 511.465 315.595 0.02112089842 0.05122506530 0.0011689742 0.0018304246 2735362.715 2614278.996 2727013.709 300.18924 1950.94734 1294.12019 0.0061993988 -1449.45128 297.003 0.058929 510.919 315.298 0.02106162650 0.05156208239 0.0011688159 0.0018478382 2725146.041 2604227.033 2716286.594 311.34317 1926.70525 1285.53850 0.0062166541 -1404.44371 298.001 0.059127 510.379 315.006 0.02100041461 0.05189794114 0.0011685136 0.0018652433 2715054.804 2594333.274 2705679.142 322.52005 1902.11258 1277.05254 0.0062337569 -1360.02189 299.004 0.059326 509.841 314.720 0.02093696734 0.05223426165 0.0011680647 0.0018827225 2705039.813 2584549.216 2695140.191 333.77589 1877.05068 1268.62138 0.0062507873 -1315.97363 300.002 0.059524 509.312 314.440 0.02087195074 0.05256759828 0.0011674739 0.0019000948 2695202.498 2574973.406 2684777.095 344.99692 1851.77956 1260.33090 0.0062675688 -1272.74905 301.005 0.059723 508.785 314.165 0.02080473672 0.05290125350 0.0011667354 0.0019175304 2685444.238 2565509.290 2674486.563 356.29577 1826.05209 1252.09847 0.0062842658 -1229.91881 302.003 0.059921 508.267 313.897 0.02073602930 0.05323181130 0.0011658569 0.0019348487 2675863.808 2556252.108 2664373.339 367.55817 1800.13488 1244.00789 0.0063007056 -1187.92037 303.000 0.060119 507.754 313.635 0.02066552381 0.05356089071 0.0011648352 0.0019521321 2666412.513 2547153.983 2654386.658 378.84006 1773.90745 1236.01855 0.0063169674 -1146.54372 304.003 0.060318 507.245 313.378 0.02059287922 0.05389008225 0.0011636645 0.0019694625 2657044.233 2538170.217 2644478.263 390.19775 1747.24298 1228.09183 0.0063331270 -1105.59121 305.001 0.060516 506.744 313.127 0.02051885421 0.05421601875 0.0011623568 0.0019866603 2647853.721 2529391.106 2634748.900 401.51622 1720.41737 1220.30834 0.0063490171 -1065.48079 306.004 0.060715 506.246 312.880 0.02044272983 0.05454193471 0.0011608994 0.0020038940 2638748.714 2520727.945 2625101.412 412.90890 1693.16758 1212.59035 0.0063647934 -1025.81354 307.002 0.060913 505.757 312.641 0.02036529974 0.05486449842 0.0011593073 0.0020209852 2629821.254 2512267.743 2615633.825 424.26033 1665.77531 1205.01628 0.0063802925 -986.99407 308.000 0.061111 505.274 312.407 0.02028621415 0.05518529714 0.0011575740 0.0020380155 2621025.760 2503966.475 2606298.344 435.62673 1638.11208 1197.54790 0.0063955895 -948.82720 309.003 0.061310 504.795 312.178 0.02020508979 0.05550588363 0.0011556903 0.0020550651 2612319.290 2495783.305 2597049.802 447.06458 1610.04391 1190.14906 0.0064107554 -911.13074 310.001 0.061508 504.325 311.955 0.02012277049 0.05582298327 0.0011536757 0.0020719575 2603789.797 2487800.332 2587982.081 458.45785 1581.86056 1182.89489 0.0064256332 -874.28894 311.004 0.061707 503.858 311.736 0.02003845343 0.05613974722 0.0011515104 0.0020888583 2595351.551 2479936.753 2579004.482 469.92048 1553.28504 1175.71281 0.0064403686 -837.93493 312.002 0.061905 503.400 311.524 0.01995301447 0.05645294150 0.0011492168 0.0021055923 2587089.756 2472271.408 2570208.082 481.33610 1524.61215 1168.67569 0.0064548091 -802.43913 313.005 0.062104 502.946 311.317 0.01986561917 0.05676567997 0.0011467725 0.0021223236 2578921.338 2464726.658 2561504.845 492.81881 1495.55984 1161.71310 0.0064690961 -767.44788 314.003 0.062302 502.501 311.116 0.01977717423 0.05707477117 0.0011442028 0.0021388789 2570928.743 2457378.099 2552983.012 504.25193 1466.42760 1154.89563 0.0064830817 -733.31757 315.001 0.062500 502.063 310.920 0.01968727242 0.05738174463 0.0011414966 0.0021553374 2563070.914 2450187.174 2544599.238 515.69187 1437.07743 1148.18861 0.0064968340 -699.87515 316.004 0.062699 501.629 310.729 0.01959547701 0.05768808800 0.0011386399 0.0021717766 2555309.500 2443118.495 2536312.935 527.19508 1407.36687 1141.55957 0.0065104165 -666.96133 317.002 0.062897 501.203 310.544 0.01950273871 0.05799067696 0.0011356623 0.0021880262 2547722.795 2436242.826 2528208.051 538.64458 1377.60187 1135.07566 0.0065236885 -634.91111 318.005 0.063096 500.783 310.363 0.01940814902 0.05829252309 0.0011325347 0.0022042453 2540234.440 2429490.423 2520203.362 550.15458 1347.48913 1128.67191 0.0065367800 -603.40484 319.002 0.063294 500.371 310.189 0.01931268657 0.05859054904 0.0011292895 0.0022202662 2532919.949 2422928.844 2512379.925 561.60792 1317.33855 1122.41316 0.0065495556 -572.76305 320.000 0.063492 499.966 310.020 0.01921590727 0.05888623464 0.0011259122 0.0022361655 2525741.590 2416523.448 2504697.736 573.06092 1287.00645 1116.26741 0.0065620777 -542.82938 321.003 0.063691 499.566 309.855 0.01911734030 0.05918101320 0.0011223858 0.0022520180 2518664.363 2410242.742 2497119.622 584.56988 1256.34548 1110.20492 0.0065744039 -513.46164 322.001 0.063889 499.176 309.696 0.01901800399 0.05947188082 0.0011187469 0.0022676595 2511759.608 2404149.517 2489722.271 596.01750 1225.67089 1104.28704 0.0065864064 -484.95844 323.004 0.064088 498.790 309.542 0.01891692277 0.05976173474 0.0011149598 0.0022832431 2504957.777 2398181.879 2482431.464 607.51778 1194.67995 1098.45439 0.0065982029 -457.03521 324.002 0.064286 498.413 309.393 0.01881514005 0.06004762201 0.0011110637 0.0022986075 2498327.412 2392399.455 2475320.950 618.95345 1163.69114 1092.76598 0.0066096713 -429.97576 325.000 0.064484 498.043 309.250 0.01871217830 0.06033096646 0.0011070411 0.0023138268 2491834.161 2386771.514 2468354.183 630.38060 1132.55608 1087.19257 0.0066208679 -403.64098 326.003 0.064683 497.679 309.111 0.01860753601 0.06061314114 0.0011028719 0.0023289720 2485446.431 2381270.441 2461497.500 641.85510 1101.12337 1081.70722 0.0066318439 -377.90629 327.001 0.064881 497.323 308.978 0.01850229210 0.06089127227 0.0010985994 0.0023438863 2479228.574 2375951.160 2454820.225 653.25983 1069.71580 1076.36540 0.0066424856 -353.03311 328.004 0.065080 496.973 308.849 0.01839541079 0.06116813175 0.0010941816 0.0023587158 2473117.927 2370759.569 2448255.302 664.70813 1038.02302 1071.11346 0.0066528973 -328.77286 329.002 0.065278 496.632 308.726 0.01828799327 0.06144090041 0.0010896643 0.0023733069 2467176.038 2365747.475 2441869.086 676.08305 1006.37034 1066.00449 0.0066629712 -305.37190 330.005 0.065477 496.297 308.607 0.01817898159 0.06171229712 0.0010850032 0.0023878026 2461343.018 2360863.874 2435597.427 687.49757 974.44484 1060.98716 0.0066728058 -282.59627 331.003 0.065675 495.971 308.494 0.01806949814 0.06197955867 0.0010802467 0.0024020528 2455677.612 2356157.474 2429503.698 698.83500 942.57410 1056.11218 0.0066822995 -260.67716 332.001 0.065873 495.653 308.386 0.01795902431 0.06224402082 0.0010753730 0.0024161265 2450150.275 2351602.974 2423556.338 710.15075 910.60461 1051.35429 0.0066914994 -239.50042 333.004 0.066072 495.340 308.282 0.01784702132 0.06250696318 0.0010703581 0.0024300890 2444734.252 2347178.146 2417726.735 721.49978 878.38083 1046.69061 0.0067004471 -218.96678 334.002 0.066270 495.036 308.184 0.01773464130 0.06276570893 0.0010652539 0.0024437958 2439484.082 2342927.084 2412073.776 732.76594 846.23322 1042.16824 0.0067090498 -199.28456 335.004 0.066469 494.739 308.090 0.01762077561 0.06302283765 0.0010600106 0.0024573812 2434346.839 2338806.470 2406540.649 744.06092 813.84364 1037.74174 0.0067173918 -180.25680 336.002 0.066667 494.450 308.001 0.01750659488 0.06327573174 0.0010546822 0.0024707045 2429374.254 2334857.342 2401183.241 755.26905 781.54417 1033.45582 0.0067253867 -162.07646 337.000 0.066865 494.170 307.917 0.01739155520 0.06352565779 0.0010492445 0.0024838304 2424540.262 2331058.240 2395973.640 766.44500 749.17867 1029.28813 0.0067330748 -144.64763 338.003 0.067064 493.895 307.838 0.01727509521 0.06377382267 0.0010436707 0.0024968197 2419821.600 2327390.741 2390886.914 777.64273 716.58969 1025.21875 0.0067404903 -127.88952 339.001 0.067262 493.630 307.764 0.01715841125 0.06401769990 0.0010380185 0.0025095379 2415265.791 2323891.334 2385974.436 788.74747 684.11115 1021.28877 0.0067475564 -111.97197 340.004 0.067461 493.371 307.694 0.01704035067 0.06425972061 0.0010322327 0.0025221095 2410826.913 2320524.299 2381186.830 799.86909 651.42144 1017.45869 0.0067543422 -96.73551 341.002 0.067659 493.121 307.630 0.01692212571 0.06449742061 0.0010263731 0.0025344045 2406549.680 2317323.110 2376572.447 810.89349 618.85544 1013.76718 0.0067607776 -82.33449 342.005 0.067858 492.878 307.570 0.01680256793 0.06473316914 0.0010203823 0.0025465432 2402390.987 2314255.066 2372084.910 821.92968 586.09058 1010.17715 0.0067669255 -68.62457 343.003 0.068056 492.644 307.515 0.01668290441 0.06496456554 0.0010143224 0.0025584000 2398392.733 2311350.639 2367769.546 832.86436 553.46244 1006.72486 0.0067727224 -55.74455 344.001 0.068254 492.418 307.465 0.01656256145 0.06519277138 0.0010081653 0.0025700328 2394533.774 2308593.681 2363603.650 843.75069 520.81270 1003.39214 0.0067781980 -43.62456 345.004 0.068453 492.198 307.419 0.01644095151 0.06541888389 0.0010018810 0.0025814951 2390795.788 2305971.030 2359567.536 854.64085 487.98258 1000.16325 0.0067833761 -32.20999 346.002 0.068651 491.988 307.378 0.01631932198 0.06564059976 0.0009955347 0.0025926682 2387216.454 2303508.692 2355701.987 865.42291 455.30824 997.07081 0.0067882029 -21.61630 347.005 0.068850 491.785 307.341 0.01619646954 0.06586012765 0.0009890643 0.0026036616 2383759.735 2301181.441 2351968.173 876.20328 422.46587 994.08376 0.0067927258 -11.73715 348.003 0.069048 491.590 307.310 0.01607365388 0.06607523068 0.0009825365 0.0026143614 2380460.494 2299012.321 2348403.836 886.87106 389.79172 991.23229 0.0067968979 -2.67239 349.001 0.069246 491.404 307.283 0.01595028396 0.06628698996 0.0009759213 0.0026248202 2377301.137 2296988.924 2344990.049 897.47804 357.12687 988.50126 0.0068007415 5.62907 350.004 0.069445 491.225 307.261 0.01582575743 0.06649641903 0.0009691865 0.0026350859 2374266.902 2295101.794 2341710.931 908.07472 324.31258 985.87797 0.0068042724 13.20297 351.001 0.069643 491.055 307.243 0.01570135054 0.06670138268 0.0009624018 0.0026450521 2371388.425 2293369.558 2338599.656 918.55199 291.68475 983.38895 0.0068074540 19.97287 352.004 0.069842 490.893 307.230 0.01557583146 0.06690392071 0.0009555009 0.0026548165 2368636.779 2291774.380 2335625.018 929.01304 258.91994 981.00924 0.0068103174 26.00694 353.002 0.070040 490.739 307.221 0.01545048626 0.06710196718 0.0009485551 0.0026642780 2366039.775 2290331.958 2332817.139 939.35005 226.35352 978.76293 0.0068128330 31.24439 354.000 0.070238 490.594 307.217 0.01532470978 0.06729651834 0.0009415320 0.0026734833 2363583.394 2289033.581 2330160.913 949.61309 193.82681 976.63795 0.0068150153 35.71742 355.003 0.070437 490.456 307.218 0.01519788803 0.06748849968 0.0009343979 0.0026824743 2361256.471 2287873.452 2327644.310 959.85070 161.18189 974.62467 0.0068168721 39.44283 356.001 0.070635 490.327 307.223 0.01507131995 0.06767595125 0.0009272265 0.0026911577 2359082.574 2286862.903 2325292.858 969.95726 128.75291 972.74351 0.0068183842 42.38329 357.004 0.070834 490.206 307.232 0.01494375152 0.06786073577 0.0009199476 0.0026996188 2357039.936 2285991.395 2323083.050 980.03207 96.21835 970.97566 0.0068195664 44.56869 358.002 0.071032 490.094 307.246 0.01481648904 0.06804096544 0.0009126365 0.0027077699 2355149.289 2285267.361 2321037.343 989.97109 63.91121 969.33910 0.0068204064 45.97733 359.005 0.071231 489.990 307.265 0.01468827136 0.06821842980 0.0009052217 0.0027156908 2353391.750 2284683.160 2319135.331 999.87188 31.51120 967.81749 0.0068209125 46.62380 360.003 0.071429 489.894 307.288 0.01456041118 0.06839131439 0.0008977799 0.0027232995 2351785.206 2284244.336 2317396.391 1009.63211 -0.65004 966.42634 0.0068210794 46.50201 Engine speed (Hz) = 14.0000000000 Output power (W) = 650.9923593509 Heat into heater (W) = 14134.8494701755 Heat to regenerator (W) = -9.1005437039 Heat removal from cooler (W) = 13529.9686950099 Approximate Pumping loss (W) = -5862.7693398966 Thermal efficiency (%) = 4.6055839556 The average engine pressure (Pa) = 2984821.7497337111 The exp space work per cycle (J) = 1008.9622604882 The comp space work per cycle (J) = -962.4628062489 The net work per cycle (J) = 46.4994542393 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6538.7190507721 The expansion work for Vmin-to-Vmax (J) = 6585.2185050114 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.004 0.000001 490.604 307.554 0.01458956420 0.06827541442 0.0008977746 0.0027233048 2359922.429 2282344.057 2320746.745 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.003 0.000186 490.514 307.586 0.01446086160 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0.0010018788 0.0025814991 2399160.137 2302090.016 2363670.960 845.47800 490.23416 1034.03415 0.0067833779 -73.52500 346.003 0.064075 492.722 307.519 0.01635182570 0.06550354692 0.0009955255 0.0025926841 2395561.629 2299743.848 2359739.898 856.24413 457.40504 1030.88930 0.0067882097 -63.01611 347.002 0.064260 492.519 307.488 0.01622918638 0.06572409162 0.0009890806 0.0026036342 2392100.816 2297544.390 2355958.582 866.95553 424.56886 1027.86425 0.0067927149 -53.26959 348.001 0.064445 492.323 307.460 0.01610595277 0.06594134683 0.0009825460 0.0026143461 2388777.835 2295491.257 2352327.266 877.60965 391.73192 1024.95920 0.0067968921 -44.28601 349.000 0.064630 492.136 307.438 0.01598215012 0.06615528069 0.0009759237 0.0026248165 2385592.827 2293584.069 2348846.205 888.20393 358.90047 1022.17435 0.0068007402 -36.06587 350.005 0.064816 491.956 307.420 0.01585713003 0.06636699044 0.0009691792 0.0026350968 2382529.850 2291813.322 2345498.064 898.79253 325.90342 1019.49583 0.0068042760 -28.57135 351.004 0.065001 491.785 307.407 0.01573226204 0.06657416768 0.0009623871 0.0026450734 2379621.998 2290197.679 2342319.103 909.25895 293.10184 1016.95267 0.0068074605 -21.88336 352.003 0.065186 491.621 307.398 0.01560690048 0.06677792788 0.0009555133 0.0026547992 2376852.599 2288726.854 2339291.179 919.65763 260.32450 1014.53033 0.0068103125 -15.95977 353.002 0.065371 491.466 307.394 0.01548107033 0.06697823918 0.0009485601 0.0026642712 2374221.829 2287400.476 2336414.558 929.98589 227.57764 1012.22903 0.0068128313 -10.80074 354.001 0.065556 491.319 307.394 0.01535479649 0.06717506965 0.0009415295 0.0026734866 2371729.877 2286218.176 2333689.509 940.24102 194.86744 1010.04899 0.0068150161 -6.40636 355.005 0.065742 491.179 307.399 0.01522741790 0.06736942266 0.0009343850 0.0026824901 2369364.599 2285174.362 2331102.813 950.47509 162.02364 1007.97963 0.0068168752 -2.75906 356.004 0.065927 491.048 307.409 0.01510032912 0.06755917617 0.0009272057 0.0026911824 2367151.640 2284279.889 2328682.566 960.57528 129.40562 1006.04344 0.0068183881 0.10200 357.003 0.066112 490.925 307.423 0.01497287115 0.06774535242 0.0009199554 0.0026996099 2365078.128 2283528.390 2326414.740 970.59404 96.84286 1004.22918 0.0068195653 2.19869 358.002 0.066297 490.811 307.441 0.01484506867 0.06792791908 0.0009126365 0.0027077699 2363144.296 2282919.500 2324299.630 980.52853 64.34151 1002.53709 0.0068204064 3.53123 359.001 0.066482 490.705 307.464 0.01471694631 0.06810684366 0.0009052511 0.0027156600 2361350.390 2282452.851 2322337.538 990.37592 31.90774 1000.96741 0.0068209112 4.09996 360.005 0.066668 490.606 307.492 0.01458783375 0.06828303078 0.0008977611 0.0027233183 2359688.112 2282126.705 2320519.418 1000.18585 -0.62698 999.51292 0.0068210794 3.90215 Engine speed (Hz) = 15.0000000000 Output power (W) = 58.4850288468 Heat into heater (W) = 15002.7877089515 Heat to regenerator (W) = -9.4047512160 Heat removal from cooler (W) = 14992.6937742015 Approximate Pumping loss (W) = -7094.8993441006 Thermal efficiency (%) = 0.3898277439 The average engine pressure (Pa) = 2986099.7135111941 The exp space work per cycle (J) = 999.5321068395 The comp space work per cycle (J) = -995.6331049164 The net work per cycle (J) = 3.8990019231 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6563.8826360305 The expansion work for Vmin-to-Vmax (J) = 6567.7816379536 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** Crank angle(deg) Time(s) Exp space temp(K) Comp space temp(K) Mass in Exp space(kg) Mass in Comp space(kg) Volume in Exp space(m^3) Volume in Comp space(m^3) Exp space pressure(Pa) Comp space pressure(Pa) Dead volume pressure(Pa) Heat into heater(J) Heat to regenerator(J) Heat removal from cooler(J) Total engine volume(m^3) Total net work(J) 0.006 0.000001 491.363 307.758 0.01461899858 0.06815893075 0.0008977584 0.0027233210 2368383.696 2279949.857 2324108.775 0.00000 0.00000 0.00000 0.0068210794 0.00000 1.002 0.000174 491.271 307.795 0.01449017442 0.06833233024 0.0008902656 0.0027306445 2366827.137 2279888.747 2322387.181 9.62559 -32.37507 -1.37728 0.0068209100 -1.03884 2.004 0.000348 491.186 307.835 0.01436034952 0.06850299064 0.0008826695 0.0027377325 2365400.679 2279968.493 2320810.025 19.21162 -64.85317 -2.63900 0.0068204020 -2.84751 3.001 0.000521 491.110 307.880 0.01423104108 0.06866891517 0.0008750598 0.0027445014 2364121.059 2280187.755 2319395.833 28.64491 -97.05466 -3.77035 0.0068195612 -5.40460 4.003 0.000695 491.042 307.930 0.01410077932 0.06883198627 0.0008673509 0.0027510273 2362973.847 2280548.637 2318128.666 38.03152 -129.34544 -4.78409 0.0068183782 -8.73898 5.005 0.000869 490.983 307.984 0.01397033626 0.06899119765 0.0008595890 0.0027572684 2361967.225 2281049.837 2317017.572 47.31357 -161.53268 -5.67296 0.0068168574 -12.83729 6.002 0.001042 490.932 308.042 0.01384048807 0.06914563128 0.0008518214 0.0027631893 2361106.168 2281686.825 2316068.029 56.43557 -193.42592 -6.43260 0.0068150107 -17.66856 7.004 0.001216 490.889 308.105 0.01370975867 0.06929703568 0.0008439609 0.0027688566 2360381.143 2282466.510 2315269.516 65.49988 -225.38745 -7.07141 0.0068128175 -23.28772 8.001 0.001389 490.854 308.171 0.01357967555 0.06944363363 0.0008360999 0.0027742036 2359800.924 2283379.468 2314631.678 74.39923 -257.04354 -7.58168 0.0068103035 -29.62917 9.003 0.001563 490.828 308.243 0.01344875991 0.06958708222 0.0008281502 0.0027792903 2359359.268 2284435.778 2314147.629 83.23337 -288.75371 -7.96892 0.0068074406 -36.76515 10.005 0.001737 490.810 308.318 0.01331778854 0.06972648433 0.0008201595 0.0027840836 2359060.428 2285630.068 2313822.015 91.94734 -320.32813 -8.22941 0.0068042430 -44.66000 11.002 0.001910 490.801 308.397 0.01318753953 0.06986103521 0.0008121764 0.0027885568 2358905.401 2286953.788 2313655.868 100.48894 -351.58009 -8.36233 0.0068007332 -53.26058 12.004 0.002084 490.800 308.481 0.01305653214 0.06999225124 0.0008041111 0.0027927604 2358892.931 2288421.718 2313647.810 108.95372 -382.86437 -8.36877 0.0067968714 -62.66500 13.000 0.002257 490.808 308.568 0.01292629706 0.07011858481 0.0007960587 0.0027966447 2359023.719 2290016.450 2313798.494 117.24116 -413.81494 -8.24822 0.0067927034 -72.76375 14.003 0.002431 490.824 308.660 0.01279535374 0.07024145617 0.0007879287 0.0028002535 2359299.865 2291755.861 2314110.251 125.44384 -444.78306 -7.99882 0.0067881822 -83.67208 15.005 0.002605 490.849 308.756 0.01266448024 0.07036008200 0.0007797699 0.0028035624 2359721.648 2293630.538 2314583.283 133.51019 -475.58280 -7.62039 0.0067833323 -95.33220 16.001 0.002778 490.883 308.856 0.01253445306 0.07047377576 0.0007716320 0.0028065539 2360286.032 2295627.937 2315214.114 141.39174 -506.03203 -7.11573 0.0067781859 -107.66898 17.004 0.002952 490.925 308.960 0.01240379411 0.07058380961 0.0007634234 0.0028092617 2361000.215 2297770.514 2316010.700 149.17631 -536.47616 -6.47846 0.0067726851 -120.82327 18.006 0.003126 490.976 309.068 0.01227328055 0.07068947080 0.0007551936 0.0028116668 2361862.067 2300046.438 2316970.552 156.81456 -566.73199 -5.71058 0.0067668604 -134.72407 19.002 0.003299 491.036 309.179 0.01214368625 0.07079014617 0.0007469924 0.0028137573 2362866.098 2302440.781 2318087.463 164.26052 -596.62060 -4.81705 0.0067607497 -149.28315 20.004 0.003473 491.104 309.295 0.01201353823 0.07088695493 0.0007387277 0.0028155567 2364024.693 2304980.482 2319375.097 171.59689 -626.48080 -3.78694 0.0067542844 -164.66680 21.001 0.003646 491.181 309.415 0.01188435753 0.07097873910 0.0007304969 0.0028170437 2365325.337 2307635.569 2320819.431 178.73596 -655.96265 -2.63148 0.0067475407 -180.69608 22.003 0.003820 491.268 309.538 0.01175467606 0.07106651315 0.0007222075 0.0028182352 2366783.921 2310435.902 2322437.986 185.75680 -685.40015 -1.33663 0.0067404426 -197.55410 23.005 0.003994 491.363 309.666 0.01162526670 0.07114968556 0.0007139094 0.0028191212 2368394.256 2313365.617 2324223.756 192.61424 -714.61538 0.09198 0.0067330305 -215.14800 24.002 0.004167 491.467 309.796 0.01149689618 0.07122776922 0.0007056529 0.0028196990 2370146.715 2316405.816 2326165.943 199.26677 -743.43545 1.64573 0.0067253519 -233.36795 25.004 0.004341 491.580 309.931 0.01136810601 0.07130161649 0.0006973451 0.0028199752 2372062.550 2319590.625 2328287.956 205.78778 -772.18654 3.34334 0.0067173203 -252.42206 26.001 0.004514 491.701 310.069 0.01124040199 0.07137032701 0.0006890841 0.0028199464 2374120.775 2322882.343 2330566.411 212.09876 -800.53114 5.16611 0.0067090305 -272.08873 27.003 0.004688 491.833 310.211 0.01111233358 0.07143464143 0.0006807769 0.0028196124 2376346.292 2326317.831 2333028.728 218.26905 -828.78978 7.13596 0.0067003893 -292.59260 28.005 0.004862 491.973 310.357 0.01098466602 0.07149409283 0.0006724736 0.0028189725 2378728.829 2329877.111 2335663.382 224.25798 -856.79058 9.24369 0.0066914462 -313.81923 29.002 0.005035 492.122 310.506 0.01085815551 0.07154832353 0.0006642247 0.0028180333 2381254.589 2333537.239 2338454.984 230.02897 -884.36751 11.47697 0.0066822580 -335.63749 30.004 0.005209 492.281 310.659 0.01073136581 0.07159789931 0.0006559371 0.0028167842 2383954.117 2337338.940 2341437.151 235.64491 -911.83181 13.86270 0.0066727213 -358.29655 31.000 0.005382 492.449 310.814 0.01060578060 0.07164218610 0.0006477087 0.0028152399 2386797.826 2341236.752 2344577.071 241.03736 -938.86015 16.37464 0.0066629486 -381.53281 32.003 0.005556 492.626 310.973 0.01047997486 0.07168162650 0.0006394469 0.0028133830 2389820.179 2345273.714 2347912.686 246.26461 -965.75704 19.04313 0.0066528298 -405.61160 33.005 0.005730 492.814 311.136 0.01035470329 0.07171587418 0.0006312017 0.0028112221 2393006.963 2349425.289 2351428.224 251.29068 -992.35714 21.85556 0.0066424239 -430.39721 34.001 0.005903 493.009 311.300 0.01023070885 0.07174469361 0.0006230230 0.0028087730 2396340.411 2353663.880 2355104.088 256.08393 -1018.50151 24.79625 0.0066317960 -455.73759 35.004 0.006077 493.216 311.469 0.01010658656 0.07176832168 0.0006148187 0.0028060081 2399861.333 2358035.088 2358985.391 260.69491 -1044.48314 27.90129 0.0066208268 -481.92201 36.006 0.006251 493.432 311.640 0.00998308457 0.07178645960 0.0006066386 0.0028029414 2403553.675 2362510.311 2363054.777 265.08977 -1070.13974 31.15680 0.0066095800 -508.80214 37.002 0.006424 493.657 311.813 0.00986093865 0.07179889705 0.0005985320 0.0027995943 2407398.178 2367056.702 2367291.954 269.23843 -1095.31474 34.54654 0.0065981263 -536.21359 38.004 0.006598 493.894 311.989 0.00973877215 0.07180552690 0.0005904077 0.0027959289 2411444.242 2371715.859 2371754.228 273.17903 -1120.28290 38.11636 0.0065863366 -564.46910 39.001 0.006771 494.139 312.165 0.00961803623 0.07180588825 0.0005823615 0.0027919885 2415654.617 2376417.603 2376403.353 276.85201 -1144.73374 41.82957 0.0065743500 -593.23962 40.003 0.006945 494.397 312.349 0.00949732701 0.07180194282 0.0005743029 0.0027877288 2420068.039 2381315.577 2381217.784 280.35957 -1169.02269 45.63717 0.0065620316 -622.85346 41.005 0.007119 494.662 312.539 0.00937728381 0.07179407448 0.0005662808 0.0027831730 2424631.023 2386404.169 2386158.002 283.69331 -1193.03430 49.50319 0.0065494538 -653.14190 42.002 0.007292 494.934 312.735 0.00925857145 0.07178230282 0.0005583436 0.0027783512 2429299.798 2391650.924 2391197.576 286.83369 -1216.63472 53.40827 0.0065366948 -683.92053 43.004 0.007466 495.214 312.938 0.00913982237 0.07176644698 0.0005504020 0.0027732091 2434119.987 2397115.618 2396396.307 289.81498 -1240.09418 57.40003 0.0065236111 -715.54036 44.001 0.007639 495.498 313.147 0.00902241883 0.07174665027 0.0005425495 0.0027678075 2439032.057 2402734.812 2401695.275 292.60078 -1263.13811 61.43464 0.0065103570 -747.63307 45.003 0.007813 495.791 313.364 0.00890502757 0.07172264757 0.0005346979 0.0027620854 2444090.818 2408572.978 2407156.214 295.22107 -1286.02673 65.56065 0.0064967833 -780.56461 46.005 0.007987 496.090 313.587 0.00878835664 0.07169450728 0.0005268949 0.0027560751 2449267.361 2414597.774 2412749.135 297.65704 -1308.61922 69.75683 0.0064829701 -814.14619 47.002 0.008160 496.394 313.816 0.00867309927 0.07166239438 0.0005191876 0.0027498154 2454530.626 2420772.642 2418440.891 299.89415 -1330.78126 74.00032 0.0064690030 -848.17398 48.004 0.008334 496.706 314.052 0.00855795297 0.07162590644 0.0005114890 0.0027432358 2459941.427 2427168.698 2424297.331 301.95618 -1352.76185 78.34213 0.0064547248 -883.03599 49.000 0.008507 497.022 314.293 0.00844427145 0.07158543303 0.0005038900 0.0027364140 2465437.655 2433712.196 2430251.126 303.81745 -1374.30116 82.73435 0.0064403040 -918.32607 50.003 0.008681 497.347 314.542 0.00833077113 0.07154047713 0.0004963051 0.0027292732 2471082.975 2440478.587 2436371.046 305.49753 -1395.64092 87.22982 0.0064255783 -954.44661 51.005 0.008855 497.677 314.797 0.00821814250 0.07149123208 0.0004887807 0.0027218541 2476846.090 2447430.410 2442622.956 306.98323 -1416.64841 91.80555 0.0064106348 -991.18971 52.001 0.009028 498.012 315.057 0.00810705613 0.07143799039 0.0004813617 0.0027142041 2482692.992 2454525.964 2448969.658 308.26592 -1437.19852 96.43679 0.0063955659 -1028.33307 53.004 0.009202 498.355 315.325 0.00799625891 0.07138010961 0.0004739648 0.0027062371 2488691.390 2461847.137 2455484.365 309.35869 -1457.52155 101.17940 0.0063802019 -1066.30016 54.006 0.009376 498.704 315.599 0.00788642695 0.07131785859 0.0004666352 0.0026979989 2494807.928 2469353.310 2462130.580 310.25189 -1477.49042 106.00929 0.0063646341 -1104.87199 55.002 0.009549 499.057 315.877 0.00777821431 0.07125160699 0.0004594167 0.0026895417 2501006.528 2476999.618 2468868.764 310.94053 -1496.98618 110.90043 0.0063489584 -1143.81552 56.004 0.009723 499.418 316.163 0.00767040145 0.07118056356 0.0004522280 0.0026807703 2507358.928 2484874.319 2475776.578 311.43104 -1516.22691 115.91196 0.0063329983 -1183.57468 57.001 0.009896 499.783 316.453 0.00756425896 0.07110552019 0.0004451540 0.0026717882 2513792.182 2492886.756 2482774.365 311.71635 -1534.98421 120.98893 0.0063169422 -1223.68610 58.003 0.010070 500.156 316.751 0.00745859148 0.07102558490 0.0004381150 0.0026624944 2520380.725 2501129.400 2489942.743 311.79836 -1553.46763 126.19279 0.0063006094 -1264.60694 59.005 0.010244 500.536 317.055 0.00735404765 0.07094115454 0.0004311544 0.0026529427 2527087.769 2509556.293 2497241.333 311.67353 -1571.56029 131.49735 0.0062840971 -1306.10030 60.002 0.010417 500.919 317.363 0.00725125042 0.07085272960 0.0004243134 0.0026431933 2533873.799 2518117.230 2504626.744 311.34312 -1589.15429 136.87416 0.0062675067 -1347.91600 61.004 0.010591 501.310 317.679 0.00714904353 0.07075926468 0.0004175152 0.0026331364 2540817.312 2526910.968 2512184.010 310.80213 -1606.44568 142.38841 0.0062506515 -1390.53049 62.001 0.010764 501.704 317.998 0.00704863377 0.07066181159 0.0004108399 0.0026228906 2547838.543 2535836.194 2519825.899 310.05571 -1623.22841 147.97980 0.0062337305 -1433.44690 63.003 0.010938 502.107 318.325 0.00694889271 0.07055922146 0.0004042125 0.0026123406 2555018.700 2544995.824 2527640.364 309.09420 -1639.68915 153.71615 0.0062165530 -1477.15412 64.005 0.011112 502.516 318.658 0.00685043695 0.07045202258 0.0003976737 0.0026015482 2562317.578 2554338.493 2535583.188 307.92036 -1655.72228 159.56875 0.0061992218 -1521.39820 65.002 0.011285 502.928 318.995 0.00675385372 0.07034084954 0.0003912623 0.0025905807 2569692.240 2563808.604 2543607.182 306.54193 -1671.23201 165.50629 0.0061818430 -1565.91274 66.004 0.011459 503.348 319.339 0.00665805918 0.07022439629 0.0003849063 0.0025793147 2577227.975 2573515.265 2551804.648 304.94218 -1686.39025 171.60085 0.0061642210 -1611.20463 67.000 0.011632 503.772 319.686 0.00656418701 0.07010398126 0.0003786806 0.0025678832 2584838.192 2583346.497 2560080.880 303.13882 -1701.01544 177.78586 0.0061465637 -1656.74546 68.003 0.011806 504.203 320.041 0.00647118496 0.06997819263 0.0003725150 0.0025561574 2592610.896 2593415.498 2568531.046 301.11039 -1715.26928 184.13639 0.0061286724 -1703.05367 69.005 0.011980 504.641 320.401 0.00637963284 0.06984769375 0.0003664479 0.0025442063 2600502.460 2603665.456 2577107.133 298.86617 -1729.05849 190.62075 0.0061106542 -1749.85921 70.001 0.012153 505.081 320.764 0.00629007732 0.06971325667 0.0003605150 0.0025321043 2608466.524 2614035.350 2585758.209 296.42050 -1742.30049 197.20421 0.0060926192 -1796.88049 71.004 0.012327 505.529 321.135 0.00620151630 0.06957330926 0.0003546495 0.0025197150 2616595.174 2624644.454 2594583.696 293.74475 -1755.14099 203.96668 0.0060743645 -1844.65254 72.006 0.012501 505.983 321.511 0.00611450521 0.06942859764 0.0003488879 0.0025071116 2624842.722 2635432.668 2603533.325 290.85221 -1767.49468 210.87438 0.0060559995 -1892.89615 73.002 0.012674 506.440 321.889 0.00602956397 0.06927997797 0.0003432640 0.0024943723 2633160.751 2646335.723 2612553.949 287.76121 -1779.28741 217.89027 0.0060376363 -1941.32114 74.004 0.012848 506.905 322.275 0.00594574408 0.06912571621 0.0003377147 0.0024813535 2641645.421 2657478.866 2621749.174 284.43598 -1790.64819 225.09944 0.0060190682 -1990.47821 75.001 0.013021 507.373 322.664 0.00586404222 0.06896757050 0.0003323053 0.0024682090 2650199.197 2668733.152 2631012.603 280.91479 -1801.43914 232.42304 0.0060005143 -2039.79310 76.003 0.013195 507.848 323.060 0.00578354742 0.06880369822 0.0003269750 0.0024547907 2658920.952 2680227.747 2640450.584 277.15709 -1811.77770 239.94981 0.0059817657 -2089.82642 77.005 0.013369 508.329 323.460 0.00570477050 0.06863498613 0.0003217570 0.0024411782 2667761.559 2691897.079 2650009.142 273.18287 -1821.59271 247.64206 0.0059629352 -2140.28461 78.002 0.013542 508.813 323.863 0.00562818286 0.06846243292 0.0003166820 0.0024274555 2676669.156 2703671.484 2659631.497 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0.01525984453 0.06724027599 0.0009344185 0.0026824488 2378049.426 2282178.348 2334838.349 940.42067 163.08939 1042.91193 0.0068168673 -47.13980 356.003 0.061806 491.816 307.596 0.01513194911 0.06743286340 0.0009272161 0.0026911701 2375792.362 2281403.755 2332339.805 950.53319 130.20513 1040.91310 0.0068183862 -44.35482 357.005 0.061980 491.691 307.614 0.01500367037 0.06762187282 0.0009199423 0.0026996248 2373673.315 2280772.842 2329994.256 960.56483 97.37330 1039.03666 0.0068195671 -42.33770 358.001 0.062153 491.575 307.637 0.01487577402 0.06780621475 0.0009126418 0.0027077641 2371703.537 2280287.591 2327814.206 970.45580 64.78844 1037.29262 0.0068204059 -41.09322 359.004 0.062327 491.466 307.665 0.01474680674 0.06798798588 0.0009052324 0.0027156796 2369860.532 2279941.982 2325774.808 980.31756 32.08024 1035.66110 0.0068209120 -40.60668 360.006 0.062501 491.365 307.697 0.01461753217 0.06816607543 0.0008977584 0.0027233210 2368156.377 2279738.814 2323889.468 990.08976 -0.55640 1034.15283 0.0068210794 -40.88709 Engine speed (Hz) = 16.0000000000 Output power (W) = -654.2546877385 Heat into heater (W) = 15841.4360880457 Heat to regenerator (W) = -8.9024521095 Heat removal from cooler (W) = 16546.4452797670 Approximate Pumping loss (W) = -8477.2509228261 Thermal efficiency (%) = -4.1300213194 The average engine pressure (Pa) = 2987435.9179307311 The exp space work per cycle (J) = 989.4921745492 The comp space work per cycle (J) = -1030.3830925328 The net work per cycle (J) = -40.8909179836 Assuming there is no pressurized buffer space: The compression work for Vmax-to-Vmin (J) = -6590.3579649646 The expansion work for Vmin-to-Vmax (J) = 6549.4670469809 Note that the net work per cycle is the same with or without a pressurized buffer space Note that Vmax = maximum engine volume, and Vmin = minimum engine volume ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** The maximum engine volume (m^3) = 0.0068210794 The minimum engine volume (m^3) = 0.0046069205 Compression ratio: (max. engine volume)/(min. engine volume) = 1.4806158385 The heater volume (m^3) = 0.0008000000 The regenerator void volume (m^3) = 0.0016000000 The cooler volume (m^3) = 0.0008000000 The mass of working gas in the engine (kg) = 0.1429534714 Assuming an ambient temp. of roughly 20 deg C, initially pressurize the engine to a gauge pressure (psi) of 249.0599279040 Engine speed(Hz) Power(W) Thermal efficiency(%) Torque(N.m) Average engine pressure(Pa) 1.000 368.213 34.203 58.603 2975181.373 2.000 722.479 33.598 57.493 2975383.731 3.000 1052.169 32.683 55.819 2975707.413 4.000 1347.783 31.479 53.627 2976114.625 5.000 1600.458 29.998 50.944 2976629.640 6.000 1801.780 28.249 47.794 2977200.216 7.000 1943.672 26.233 44.192 2977883.074 8.000 2018.358 23.953 40.154 2978625.070 9.000 2018.307 21.408 35.692 2979479.307 10.000 1936.249 18.597 30.816 2980397.781 11.000 1765.151 15.516 25.539 2981387.897 12.000 1498.206 12.161 19.871 2982475.653 13.000 1128.926 8.527 13.821 2983594.627 14.000 650.992 4.606 7.401 2984821.750 15.000 58.485 0.390 0.621 2986099.714 16.000 -654.255 -4.130 -6.508 2987435.918