| Working Gas | Helium | ||
| Specific gas constant | Rspec | 2076.9000 | J/(kg K) |
| Ratio of specific heats | κ | 1.6670 | - |
| Average pressure | pave | 1000.0000 | kPa |
| Net work per cycle | Wnet | 12.5208 | J |
| Rotations per second of crank | freq | 30.0000 | 1/sec |
| Heater temperature | Th | 873.0000 | K |
| Heater volume | Vh | 45.0000 | cm³ |
| Kooler temperature | Tk | 303.0000 | K |
| Kooler volume | Vk | 90.0000 | cm³ |
| Regenerator volume | Vr | 141.0000 | cm³ |
| Regenerator,eff Temp | Tr | 538.6491 | ° |
| Drive type | s | ||
| Volume phase lag | vpl | 95.0000 | ° |
| Clearance volume, compression | Vclc | 5.5000 | cm³ |
| Clearance volume, expansion | Vcle | 12.0000 | cm³ |
Please be patient. The computations are numerically intensive.
They will proceed until Vswe ≥ 2.00 * (Th/Tk) * Vswc is reached.
Which will be approximately at Vswc = 3.266687e+01 ; Vswe = 1.882388e+02
Vswc[cc] Vswe[cc] Vtot[cc] eta[] Wtot[J] pmin[bar] pmax[bar] Tcmin[K] Tcmax[K] Wc[J] dQkneg[W] dQkpos[W] Qr[J] dQrneg[W] dQrpos[W] dQhneg[W] dQhpos[W] Temin[K] Temax[K] We[J] 8.6825e+01 6.9460e+01 1.5628e+02 6.0558e-01 1.2521e+01 8.1857e+00 1.2080e+01 2.8423e+02 3.3302e+02 -8.1548e+00 -4.2510e+03 3.4288e+03 1.1897e+02 -1.0923e+04 1.2219e+04 -1.6826e+03 2.2562e+03 7.5813e+02 8.8594e+02 2.0676e+01 8.5742e+01 7.0192e+01 1.5593e+02 6.0634e-01 1.2521e+01 8.2028e+00 1.2057e+01 2.8452e+02 3.3285e+02 -8.1291e+00 -4.2003e+03 3.3918e+03 1.1898e+02 -1.0880e+04 1.2280e+04 -1.6645e+03 2.2427e+03 7.5926e+02 8.8573e+02 2.0650e+01 8.4659e+01 7.0946e+01 1.5560e+02 6.0708e-01 1.2521e+01 8.2199e+00 1.2034e+01 2.8481e+02 3.3268e+02 -8.1039e+00 -4.1500e+03 3.3549e+03 1.1903e+02 -1.0839e+04 1.2344e+04 -1.6465e+03 2.2292e+03 7.6039e+02 8.8552e+02 2.0625e+01 8.3575e+01 7.1722e+01 1.5530e+02 6.0781e-01 1.2521e+01 8.2369e+00 1.2011e+01 2.8510e+02 3.3251e+02 -8.0792e+00 -4.1000e+03 3.3182e+03 1.1912e+02 -1.0800e+04 1.2410e+04 -1.6285e+03 2.2157e+03 7.6153e+02 8.8532e+02 2.0600e+01 8.2492e+01 7.2522e+01 1.5501e+02 6.0852e-01 1.2521e+01 8.2539e+00 1.1989e+01 2.8539e+02 3.3234e+02 -8.0550e+00 -4.0504e+03 3.2817e+03 1.1924e+02 -1.0763e+04 1.2479e+04 -1.6107e+03 2.2023e+03 7.6266e+02 8.8511e+02 2.0576e+01 8.1409e+01 7.3346e+01 1.5476e+02 6.0922e-01 1.2521e+01 8.2709e+00 1.1967e+01 2.8569e+02 3.3218e+02 -8.0313e+00 -4.0012e+03 3.2454e+03 1.1941e+02 -1.0728e+04 1.2551e+04 -1.5929e+03 2.1889e+03 7.6380e+02 8.8491e+02 2.0552e+01 8.0326e+01 7.4197e+01 1.5452e+02 6.0991e-01 1.2521e+01 8.2878e+00 1.1944e+01 2.8598e+02 3.3202e+02 -8.0081e+00 -3.9524e+03 3.2093e+03 1.1962e+02 -1.0695e+04 1.2626e+04 -1.5754e+03 2.1756e+03 7.6493e+02 8.8470e+02 2.0529e+01 7.9243e+01 7.5074e+01 1.5432e+02 6.1059e-01 1.2521e+01 8.3046e+00 1.1922e+01 2.8627e+02 3.3186e+02 -7.9854e+00 -3.9040e+03 3.1734e+03 1.1987e+02 -1.0665e+04 1.2705e+04 -1.5581e+03 2.1624e+03 7.6607e+02 8.8450e+02 2.0506e+01 7.8160e+01 7.5979e+01 1.5414e+02 6.1125e-01 1.2521e+01 8.3213e+00 1.1900e+01 2.8656e+02 3.3171e+02 -7.9632e+00 -3.8560e+03 3.1377e+03 1.2016e+02 -1.0637e+04 1.2786e+04 -1.5407e+03 2.1492e+03 7.6720e+02 8.8431e+02 2.0484e+01 7.7077e+01 7.6914e+01 1.5399e+02 6.1189e-01 1.2521e+01 8.3379e+00 1.1879e+01 2.8685e+02 3.3156e+02 -7.9415e+00 -3.8084e+03 3.1024e+03 1.2051e+02 -1.0612e+04 1.2871e+04 -1.5232e+03 2.1360e+03 7.6834e+02 8.8411e+02 2.0462e+01 7.5993e+01 7.7879e+01 1.5387e+02 6.1253e-01 1.2521e+01 8.3544e+00 1.1857e+01 2.8714e+02 3.3142e+02 -7.9204e+00 -3.7613e+03 3.0673e+03 1.2090e+02 -1.0590e+04 1.2959e+04 -1.5056e+03 2.1229e+03 7.6947e+02 8.8392e+02 2.0441e+01 7.4910e+01 7.8877e+01 1.5379e+02 6.1315e-01 1.2521e+01 8.3708e+00 1.1836e+01 2.8743e+02 3.3128e+02 -7.8997e+00 -3.7147e+03 3.0325e+03 1.2134e+02 -1.0571e+04 1.3051e+04 -1.4879e+03 2.1099e+03 7.7060e+02 8.8373e+02 2.0421e+01 7.3827e+01 7.9908e+01 1.5373e+02 6.1375e-01 1.2521e+01 8.3871e+00 1.1815e+01 2.8772e+02 3.3114e+02 -7.8796e+00 -3.6686e+03 2.9981e+03 1.2184e+02 -1.0555e+04 1.3147e+04 -1.4701e+03 2.0970e+03 7.7173e+02 8.8354e+02 2.0400e+01 7.2744e+01 8.0974e+01 1.5372e+02 6.1434e-01 1.2521e+01 8.4032e+00 1.1794e+01 2.8802e+02 3.3101e+02 -7.8600e+00 -3.6230e+03 2.9640e+03 1.2239e+02 -1.0542e+04 1.3247e+04 -1.4516e+03 2.0841e+03 7.7285e+02 8.8336e+02 2.0381e+01 7.1661e+01 8.2077e+01 1.5374e+02 6.1492e-01 1.2521e+01 8.4192e+00 1.1773e+01 2.8831e+02 3.3089e+02 -7.8409e+00 -3.5780e+03 2.9304e+03 1.2299e+02 -1.0533e+04 1.3351e+04 -1.4337e+03 2.0712e+03 7.7397e+02 8.8318e+02 2.0362e+01 7.0578e+01 8.3220e+01 1.5380e+02 6.1548e-01 1.2521e+01 8.4349e+00 1.1753e+01 2.8860e+02 3.3077e+02 -7.8224e+00 -3.5335e+03 2.8971e+03 1.2365e+02 -1.0528e+04 1.3459e+04 -1.4156e+03 2.0585e+03 7.7509e+02 8.8301e+02 2.0343e+01 6.9494e+01 8.4403e+01 1.5390e+02 6.1602e-01 1.2521e+01 8.4505e+00 1.1733e+01 2.8889e+02 3.3066e+02 -7.8045e+00 -3.4897e+03 2.8643e+03 1.2437e+02 -1.0526e+04 1.3572e+04 -1.3974e+03 2.0458e+03 7.7620e+02 8.8284e+02 2.0325e+01 6.8411e+01 8.5629e+01 1.5404e+02 6.1655e-01 1.2521e+01 8.4658e+00 1.1713e+01 2.8918e+02 3.3055e+02 -7.7871e+00 -3.4465e+03 2.8321e+03 1.2515e+02 -1.0529e+04 1.3690e+04 -1.3792e+03 2.0332e+03 7.7730e+02 8.8268e+02 2.0308e+01 6.7328e+01 8.6901e+01 1.5423e+02 6.1706e-01 1.2521e+01 8.4809e+00 1.1694e+01 2.8946e+02 3.3046e+02 -7.7702e+00 -3.4040e+03 2.8004e+03 1.2600e+02 -1.0537e+04 1.3813e+04 -1.3608e+03 2.0207e+03 7.7840e+02 8.8253e+02 2.0291e+01 6.6245e+01 8.8221e+01 1.5447e+02 6.1755e-01 1.2521e+01 8.4956e+00 1.1675e+01 2.8975e+02 3.3037e+02 -7.7540e+00 -3.3623e+03 2.7692e+03 1.2691e+02 -1.0549e+04 1.3941e+04 -1.3424e+03 2.0083e+03 7.7949e+02 8.8238e+02 2.0275e+01 6.5270e+01 8.9452e+01 1.5472e+02 6.1798e-01 1.2521e+01 8.5087e+00 1.1658e+01 2.9001e+02 3.3029e+02 -7.7399e+00 -3.3253e+03 2.7418e+03 1.2778e+02 -1.0564e+04 1.4061e+04 -1.3257e+03 1.9972e+03 7.8047e+02 8.8226e+02 2.0261e+01 6.4295e+01 9.0725e+01 1.5502e+02 6.1840e-01 1.2521e+01 8.5215e+00 1.1642e+01 2.9027e+02 3.3023e+02 -7.7263e+00 -3.2890e+03 2.7149e+03 1.2872e+02 -1.0584e+04 1.4186e+04 -1.3087e+03 1.9863e+03 7.8143e+02 8.8214e+02 2.0247e+01 6.3320e+01 9.2044e+01 1.5536e+02 6.1880e-01 1.2521e+01 8.5339e+00 1.1626e+01 2.9052e+02 3.3017e+02 -7.7132e+00 -3.2534e+03 2.6886e+03 1.2971e+02 -1.0609e+04 1.4316e+04 -1.2918e+03 1.9754e+03 7.8239e+02 8.8203e+02 2.0234e+01 6.2443e+01 9.3272e+01 1.5572e+02 6.1915e-01 1.2521e+01 8.5449e+00 1.1613e+01 2.9075e+02 3.3013e+02 -7.7018e+00 -3.2220e+03 2.6655e+03 1.3066e+02 -1.0636e+04 1.4437e+04 -1.2766e+03 1.9657e+03 7.8324e+02 8.8194e+02 2.0223e+01 6.1566e+01 9.4540e+01 1.5611e+02 6.1948e-01 1.2521e+01 8.5555e+00 1.1599e+01 2.9098e+02 3.3009e+02 -7.6909e+00 -3.1912e+03 2.6430e+03 1.3165e+02 -1.0667e+04 1.4562e+04 -1.2612e+03 1.9561e+03 7.8409e+02 8.8186e+02 2.0212e+01 6.0688e+01 9.5851e+01 1.5654e+02 6.1981e-01 1.2521e+01 8.5659e+00 1.1586e+01 2.9120e+02 3.3006e+02 -7.6804e+00 -3.1611e+03 2.6211e+03 1.3271e+02 -1.0703e+04 1.4692e+04 -1.2459e+03 1.9466e+03 7.8492e+02 8.8178e+02 2.0201e+01 5.9899e+01 9.7069e+01 1.5697e+02 6.2008e-01 1.2521e+01 8.5749e+00 1.1575e+01 2.9141e+02 3.3004e+02 -7.6713e+00 -3.1346e+03 2.6019e+03 1.3370e+02 -1.0740e+04 1.4813e+04 -1.2320e+03 1.9382e+03 7.8567e+02 8.8172e+02 2.0192e+01 5.9109e+01 9.8324e+01 1.5743e+02 6.2035e-01 1.2521e+01 8.5837e+00 1.1564e+01 2.9161e+02 3.3003e+02 -7.6626e+00 -3.1086e+03 2.5833e+03 1.3473e+02 -1.0780e+04 1.4938e+04 -1.2180e+03 1.9298e+03 7.8640e+02 8.8168e+02 2.0183e+01 5.8319e+01 9.9619e+01 1.5794e+02 6.2061e-01 1.2521e+01 8.5921e+00 1.1553e+01 2.9181e+02 3.3002e+02 -7.6543e+00 -3.0833e+03 2.5653e+03 1.3582e+02 -1.0826e+04 1.5068e+04 -1.2040e+03 1.9216e+03 7.8712e+02 8.8164e+02 2.0175e+01 5.7530e+01 1.0096e+02 1.5848e+02 6.2085e-01 1.2521e+01 8.6003e+00 1.1543e+01 2.9201e+02 3.3002e+02 -7.6464e+00 -3.0587e+03 2.5479e+03 1.3695e+02 -1.0876e+04 1.5201e+04 -1.1902e+03 1.9135e+03 7.8784e+02 8.8161e+02 2.0167e+01 5.6819e+01 1.0219e+02 1.5901e+02 6.2106e-01 1.2521e+01 8.6073e+00 1.1534e+01 2.9218e+02 3.3003e+02 -7.6396e+00 -3.0373e+03 2.5328e+03 1.3802e+02 -1.0926e+04 1.5326e+04 -1.1780e+03 1.9063e+03 7.8847e+02 8.8159e+02 2.0160e+01 5.6108e+01 1.0347e+02 1.5958e+02 6.2126e-01 1.2521e+01 8.6140e+00 1.1525e+01 2.9236e+02 3.3005e+02 -7.6332e+00 -3.0166e+03 2.5183e+03 1.3912e+02 -1.0981e+04 1.5454e+04 -1.1662e+03 1.8993e+03 7.8909e+02 8.8159e+02 2.0154e+01 5.5398e+01 1.0479e+02 1.6018e+02 6.2145e-01 1.2521e+01 8.6204e+00 1.1517e+01 2.9254e+02 3.3008e+02 -7.6271e+00 -2.9965e+03 2.5044e+03 1.4027e+02 -1.1040e+04 1.5586e+04 -1.1548e+03 1.8923e+03 7.8970e+02 8.8160e+02 2.0148e+01 5.4758e+01 1.0600e+02 1.6076e+02 6.2161e-01 1.2521e+01 8.6259e+00 1.1511e+01 2.9269e+02 3.3010e+02 -7.6219e+00 -2.9790e+03 2.4925e+03 1.4135e+02 -1.1097e+04 1.5708e+04 -1.1449e+03 1.8862e+03 7.9024e+02 8.8161e+02 2.0143e+01 5.4119e+01 1.0725e+02 1.6137e+02 6.2176e-01 1.2521e+01 8.6311e+00 1.1504e+01 2.9285e+02 3.3014e+02 -7.6170e+00 -2.9620e+03 2.4811e+03 1.4246e+02 -1.1159e+04 1.5835e+04 -1.1353e+03 1.8802e+03 7.9077e+02 8.8164e+02 2.0138e+01 5.3479e+01 1.0854e+02 1.6202e+02 6.2190e-01 1.2521e+01 8.6360e+00 1.1498e+01 2.9300e+02 3.3018e+02 -7.6124e+00 -2.9456e+03 2.4703e+03 1.4361e+02 -1.1226e+04 1.5964e+04 -1.1261e+03 1.8743e+03 7.9129e+02 8.8168e+02 2.0133e+01 5.2839e+01 1.0986e+02 1.6270e+02 6.2203e-01 1.2521e+01 8.6405e+00 1.1492e+01 2.9315e+02 3.3023e+02 -7.6082e+00 -2.9297e+03 2.4601e+03 1.4480e+02 -1.1297e+04 1.6098e+04 -1.1173e+03 1.8686e+03 7.9180e+02 8.8174e+02 2.0129e+01 5.2264e+01 1.1109e+02 1.6335e+02 6.2214e-01 1.2521e+01 8.6444e+00 1.1487e+01 2.9329e+02 3.3028e+02 -7.6047e+00 -2.9160e+03 2.4515e+03 1.4591e+02 -1.1366e+04 1.6221e+04 -1.1098e+03 1.8635e+03 7.9225e+02 8.8180e+02 2.0125e+01 5.1688e+01 1.1234e+02 1.6403e+02 6.2224e-01 1.2521e+01 8.6479e+00 1.1483e+01 2.9342e+02 3.3034e+02 -7.6014e+00 -2.9028e+03 2.4434e+03 1.4705e+02 -1.1439e+04 1.6348e+04 -1.1027e+03 1.8586e+03 7.9269e+02 8.8187e+02 2.0122e+01 5.1112e+01 1.1363e+02 1.6475e+02 6.2233e-01 1.2521e+01 8.6511e+00 1.1479e+01 2.9356e+02 3.3041e+02 -7.5984e+00 -2.8902e+03 2.4359e+03 1.4823e+02 -1.1516e+04 1.6479e+04 -1.0960e+03 1.8539e+03 7.9312e+02 8.8196e+02 2.0119e+01 5.0537e+01 1.1496e+02 1.6550e+02 6.2241e-01 1.2521e+01 8.6541e+00 1.1475e+01 2.9369e+02 3.3048e+02 -7.5957e+00 -2.8781e+03 2.4290e+03 1.4944e+02 -1.1598e+04 1.6613e+04 -1.0897e+03 1.8493e+03 7.9354e+02 8.8206e+02 2.0117e+01 5.0019e+01 1.1618e+02 1.6620e+02 6.2248e-01 1.2521e+01 8.6564e+00 1.1472e+01 2.9381e+02 3.3055e+02 -7.5936e+00 -2.8678e+03 2.4233e+03 1.5057e+02 -1.1677e+04 1.6737e+04 -1.0845e+03 1.8452e+03 7.9391e+02 8.8216e+02 2.0114e+01 4.9501e+01 1.1744e+02 1.6694e+02 6.2254e-01 1.2521e+01 8.6585e+00 1.1470e+01 2.9392e+02 3.3063e+02 -7.5917e+00 -2.8579e+03 2.4182e+03 1.5173e+02 -1.1759e+04 1.6864e+04 -1.0797e+03 1.8414e+03 7.9426e+02 8.8228e+02 2.0112e+01 4.8983e+01 1.1872e+02 1.6771e+02 6.2259e-01 1.2521e+01 8.6603e+00 1.1467e+01 2.9404e+02 3.3071e+02 -7.5901e+00 -2.8486e+03 2.4136e+03 1.5292e+02 -1.1846e+04 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2.1948e+02 6.1673e-01 1.2521e+01 8.4735e+00 1.1703e+01 2.9664e+02 3.3892e+02 -7.7811e+00 -3.0067e+03 2.7458e+03 2.1557e+02 -1.8004e+04 2.3778e+04 -1.4592e+03 1.9168e+03 7.9644e+02 9.0145e+02 2.0302e+01 3.2714e+01 1.8790e+02 2.2061e+02 6.1651e-01 1.2521e+01 8.4671e+00 1.1711e+01 2.9665e+02 3.3912e+02 -7.7885e+00 -3.0170e+03 2.7583e+03 2.1674e+02 -1.8134e+04 2.3907e+04 -1.4753e+03 1.9226e+03 7.9630e+02 9.0189e+02 2.0309e+01 3.2551e+01 1.8910e+02 2.2165e+02 6.1630e-01 1.2521e+01 8.4611e+00 1.1719e+01 2.9666e+02 3.3930e+02 -7.7953e+00 -3.0264e+03 2.7699e+03 2.1780e+02 -1.8254e+04 2.4025e+04 -1.4902e+03 1.9280e+03 7.9616e+02 9.0228e+02 2.0316e+01 4.6424e+01 1.2559e+02 1.7201e+02 6.2271e-01 1.2521e+01 8.6645e+00 1.1462e+01 2.9458e+02 3.3123e+02 -7.5863e+00 -2.8109e+03 2.3998e+03 1.5932e+02 -1.2346e+04 1.7689e+04 -1.0616e+03 1.8218e+03 7.9616e+02 8.8336e+02 2.0107e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.6424e+01 )