| 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 | 90.0000 | ° |
| 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 = 3.266744e+01 ; Vswe = 1.882421e+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] 8.6830e+01 6.9464e+01 1.5629e+02 6.0423e-01 1.2521e+01 8.1436e+00 1.2134e+01 2.8366e+02 3.3364e+02 -8.2012e+00 -4.3522e+03 3.5144e+03 1.1349e+02 -1.0459e+04 1.1849e+04 -1.7248e+03 2.1975e+03 7.5578e+02 8.8542e+02 2.0722e+01 8.5746e+01 7.0194e+01 1.5594e+02 6.0499e-01 1.2521e+01 8.1603e+00 1.2112e+01 2.8395e+02 3.3347e+02 -8.1752e+00 -4.3021e+03 3.4781e+03 1.1350e+02 -1.0414e+04 1.1913e+04 -1.7070e+03 2.1846e+03 7.5691e+02 8.8524e+02 2.0696e+01 8.4663e+01 7.0946e+01 1.5561e+02 6.0574e-01 1.2521e+01 8.1769e+00 1.2090e+01 2.8423e+02 3.3331e+02 -8.1496e+00 -4.2525e+03 3.4419e+03 1.1356e+02 -1.0370e+04 1.1980e+04 -1.6891e+03 2.1719e+03 7.5804e+02 8.8507e+02 2.0670e+01 8.3580e+01 7.1721e+01 1.5530e+02 6.0647e-01 1.2521e+01 8.1935e+00 1.2068e+01 2.8452e+02 3.3315e+02 -8.1245e+00 -4.2032e+03 3.4060e+03 1.1365e+02 -1.0329e+04 1.2049e+04 -1.6712e+03 2.1592e+03 7.5918e+02 8.8490e+02 2.0645e+01 8.2497e+01 7.2519e+01 1.5502e+02 6.0719e-01 1.2521e+01 8.2100e+00 1.2046e+01 2.8480e+02 3.3299e+02 -8.1000e+00 -4.1542e+03 3.3702e+03 1.1378e+02 -1.0289e+04 1.2121e+04 -1.6531e+03 2.1466e+03 7.6031e+02 8.8472e+02 2.0621e+01 8.1413e+01 7.3342e+01 1.5476e+02 6.0790e-01 1.2521e+01 8.2265e+00 1.2024e+01 2.8509e+02 3.3283e+02 -8.0759e+00 -4.1057e+03 3.3346e+03 1.1396e+02 -1.0252e+04 1.2196e+04 -1.6350e+03 2.1341e+03 7.6144e+02 8.8456e+02 2.0597e+01 8.0330e+01 7.4190e+01 1.5452e+02 6.0860e-01 1.2521e+01 8.2429e+00 1.2002e+01 2.8538e+02 3.3268e+02 -8.0524e+00 -4.0576e+03 3.2993e+03 1.1418e+02 -1.0217e+04 1.2274e+04 -1.6168e+03 2.1216e+03 7.6257e+02 8.8439e+02 2.0573e+01 7.9247e+01 7.5066e+01 1.5431e+02 6.0928e-01 1.2521e+01 8.2592e+00 1.1980e+01 2.8566e+02 3.3253e+02 -8.0293e+00 -4.0099e+03 3.2642e+03 1.1445e+02 -1.0184e+04 1.2355e+04 -1.5984e+03 2.1092e+03 7.6370e+02 8.8423e+02 2.0550e+01 7.8164e+01 7.5969e+01 1.5413e+02 6.0995e-01 1.2521e+01 8.2754e+00 1.1959e+01 2.8595e+02 3.3239e+02 -8.0068e+00 -3.9627e+03 3.2294e+03 1.1477e+02 -1.0154e+04 1.2440e+04 -1.5801e+03 2.0968e+03 7.6483e+02 8.8407e+02 2.0528e+01 7.7081e+01 7.6902e+01 1.5398e+02 6.1060e-01 1.2521e+01 8.2915e+00 1.1938e+01 2.8623e+02 3.3224e+02 -7.9848e+00 -3.9159e+03 3.1948e+03 1.1514e+02 -1.0126e+04 1.2527e+04 -1.5616e+03 2.0846e+03 7.6596e+02 8.8391e+02 2.0506e+01 7.5997e+01 7.7865e+01 1.5386e+02 6.1124e-01 1.2521e+01 8.3075e+00 1.1917e+01 2.8652e+02 3.3211e+02 -7.9633e+00 -3.8696e+03 3.1606e+03 1.1555e+02 -1.0101e+04 1.2619e+04 -1.5430e+03 2.0724e+03 7.6708e+02 8.8375e+02 2.0484e+01 7.4914e+01 7.8861e+01 1.5377e+02 6.1187e-01 1.2521e+01 8.3234e+00 1.1896e+01 2.8681e+02 3.3198e+02 -7.9423e+00 -3.8238e+03 3.1267e+03 1.1602e+02 -1.0079e+04 1.2713e+04 -1.5244e+03 2.0603e+03 7.6821e+02 8.8360e+02 2.0463e+01 7.3831e+01 7.9890e+01 1.5372e+02 6.1248e-01 1.2521e+01 8.3391e+00 1.1875e+01 2.8709e+02 3.3185e+02 -7.9219e+00 -3.7785e+03 3.0931e+03 1.1655e+02 -1.0060e+04 1.2812e+04 -1.5056e+03 2.0482e+03 7.6933e+02 8.8346e+02 2.0443e+01 7.2748e+01 8.0954e+01 1.5370e+02 6.1308e-01 1.2521e+01 8.3547e+00 1.1855e+01 2.8738e+02 3.3173e+02 -7.9020e+00 -3.7337e+03 3.0599e+03 1.1712e+02 -1.0045e+04 1.2915e+04 -1.4868e+03 2.0363e+03 7.7045e+02 8.8332e+02 2.0423e+01 7.1664e+01 8.2056e+01 1.5372e+02 6.1366e-01 1.2521e+01 8.3701e+00 1.1835e+01 2.8766e+02 3.3161e+02 -7.8826e+00 -3.6896e+03 3.0272e+03 1.1776e+02 -1.0033e+04 1.3022e+04 -1.4679e+03 2.0244e+03 7.7156e+02 8.8318e+02 2.0403e+01 7.0581e+01 8.3196e+01 1.5378e+02 6.1423e-01 1.2521e+01 8.3854e+00 1.1815e+01 2.8795e+02 3.3150e+02 -7.8638e+00 -3.6460e+03 2.9948e+03 1.1846e+02 -1.0025e+04 1.3133e+04 -1.4489e+03 2.0127e+03 7.7267e+02 8.8305e+02 2.0385e+01 6.9498e+01 8.4378e+01 1.5388e+02 6.1478e-01 1.2521e+01 8.4004e+00 1.1796e+01 2.8823e+02 3.3140e+02 -7.8456e+00 -3.6031e+03 2.9630e+03 1.1921e+02 -1.0021e+04 1.3249e+04 -1.4298e+03 2.0010e+03 7.7377e+02 8.8293e+02 2.0366e+01 6.8415e+01 8.5602e+01 1.5402e+02 6.1531e-01 1.2521e+01 8.4151e+00 1.1777e+01 2.8852e+02 3.3130e+02 -7.8279e+00 -3.5608e+03 2.9317e+03 1.2003e+02 -1.0021e+04 1.3370e+04 -1.4106e+03 1.9894e+03 7.7487e+02 8.8281e+02 2.0349e+01 6.7331e+01 8.6872e+01 1.5420e+02 6.1583e-01 1.2521e+01 8.4297e+00 1.1758e+01 2.8880e+02 3.3121e+02 -7.8108e+00 -3.5192e+03 2.9009e+03 1.2092e+02 -1.0025e+04 1.3496e+04 -1.3913e+03 1.9780e+03 7.7596e+02 8.8270e+02 2.0332e+01 6.6248e+01 8.8189e+01 1.5444e+02 6.1633e-01 1.2521e+01 8.4439e+00 1.1740e+01 2.8908e+02 3.3113e+02 -7.7943e+00 -3.4784e+03 2.8707e+03 1.2187e+02 -1.0035e+04 1.3627e+04 -1.3719e+03 1.9666e+03 7.7704e+02 8.8260e+02 2.0315e+01 6.5273e+01 8.9418e+01 1.5469e+02 6.1676e-01 1.2521e+01 8.4564e+00 1.1723e+01 2.8933e+02 3.3107e+02 -7.7800e+00 -3.4423e+03 2.8441e+03 1.2279e+02 -1.0048e+04 1.3749e+04 -1.3544e+03 1.9566e+03 7.7801e+02 8.8252e+02 2.0301e+01 6.4298e+01 9.0690e+01 1.5499e+02 6.1719e-01 1.2521e+01 8.4687e+00 1.1708e+01 2.8958e+02 3.3101e+02 -7.7661e+00 -3.4069e+03 2.8181e+03 1.2376e+02 -1.0066e+04 1.3877e+04 -1.3368e+03 1.9466e+03 7.7897e+02 8.8244e+02 2.0287e+01 6.3323e+01 9.2007e+01 1.5533e+02 6.1759e-01 1.2521e+01 8.4807e+00 1.1692e+01 2.8983e+02 3.3096e+02 -7.7528e+00 -3.3722e+03 2.7926e+03 1.2480e+02 -1.0088e+04 1.4009e+04 -1.3192e+03 1.9367e+03 7.7992e+02 8.8238e+02 2.0274e+01 6.2446e+01 9.3233e+01 1.5568e+02 6.1794e-01 1.2521e+01 8.4912e+00 1.1679e+01 2.9006e+02 3.3092e+02 -7.7413e+00 -3.3416e+03 2.7703e+03 1.2578e+02 -1.0113e+04 1.4133e+04 -1.3032e+03 1.9280e+03 7.8077e+02 8.8233e+02 2.0262e+01 6.1568e+01 9.4500e+01 1.5607e+02 6.1828e-01 1.2521e+01 8.5014e+00 1.1666e+01 2.9028e+02 3.3089e+02 -7.7301e+00 -3.3117e+03 2.7486e+03 1.2682e+02 -1.0143e+04 1.4261e+04 -1.2876e+03 1.9193e+03 7.8160e+02 8.8229e+02 2.0251e+01 6.0691e+01 9.5809e+01 1.5650e+02 6.1861e-01 1.2521e+01 8.5114e+00 1.1653e+01 2.9050e+02 3.3087e+02 -7.7195e+00 -3.2824e+03 2.7274e+03 1.2791e+02 -1.0177e+04 1.4393e+04 -1.2722e+03 1.9108e+03 7.8243e+02 8.8226e+02 2.0240e+01 5.9901e+01 9.7025e+01 1.5693e+02 6.1889e-01 1.2521e+01 8.5200e+00 1.1642e+01 2.9070e+02 3.3086e+02 -7.7103e+00 -3.2570e+03 2.7089e+03 1.2893e+02 -1.0212e+04 1.4517e+04 -1.2586e+03 1.9032e+03 7.8317e+02 8.8224e+02 2.0231e+01 5.9112e+01 9.8279e+01 1.5739e+02 6.1916e-01 1.2521e+01 8.5284e+00 1.1632e+01 2.9090e+02 3.3085e+02 -7.7014e+00 -3.2321e+03 2.6910e+03 1.3001e+02 -1.0252e+04 1.4644e+04 -1.2454e+03 1.8958e+03 7.8390e+02 8.8223e+02 2.0222e+01 5.8322e+01 9.9572e+01 1.5789e+02 6.1942e-01 1.2521e+01 8.5365e+00 1.1621e+01 2.9110e+02 3.3085e+02 -7.6930e+00 -3.2078e+03 2.6736e+03 1.3113e+02 -1.0297e+04 1.4776e+04 -1.2325e+03 1.8885e+03 7.8462e+02 8.8224e+02 2.0214e+01 5.7532e+01 1.0091e+02 1.5844e+02 6.1967e-01 1.2521e+01 8.5443e+00 1.1611e+01 2.9129e+02 3.3086e+02 -7.6849e+00 -3.1843e+03 2.6569e+03 1.3230e+02 -1.0346e+04 1.4912e+04 -1.2200e+03 1.8813e+03 7.8532e+02 8.8225e+02 2.0206e+01 5.6822e+01 1.0215e+02 1.5897e+02 6.1988e-01 1.2521e+01 8.5510e+00 1.1603e+01 2.9146e+02 3.3088e+02 -7.6781e+00 -3.1636e+03 2.6424e+03 1.3340e+02 -1.0396e+04 1.5038e+04 -1.2091e+03 1.8750e+03 7.8595e+02 8.8228e+02 2.0199e+01 5.6111e+01 1.0342e+02 1.5953e+02 6.2008e-01 1.2521e+01 8.5575e+00 1.1595e+01 2.9164e+02 3.3090e+02 -7.6715e+00 -3.1436e+03 2.6285e+03 1.3454e+02 -1.0450e+04 1.5168e+04 -1.1986e+03 1.8688e+03 7.8657e+02 8.8232e+02 2.0192e+01 5.5400e+01 1.0473e+02 1.6013e+02 6.2027e-01 1.2521e+01 8.5636e+00 1.1587e+01 2.9181e+02 3.3093e+02 -7.6653e+00 -3.1241e+03 2.6151e+03 1.3572e+02 -1.0509e+04 1.5303e+04 -1.1884e+03 1.8627e+03 7.8718e+02 8.8237e+02 2.0186e+01 5.4760e+01 1.0595e+02 1.6071e+02 6.2043e-01 1.2521e+01 8.5688e+00 1.1580e+01 2.9196e+02 3.3097e+02 -7.6601e+00 -3.1072e+03 2.6037e+03 1.3682e+02 -1.0567e+04 1.5427e+04 -1.1797e+03 1.8574e+03 7.8772e+02 8.8242e+02 2.0181e+01 5.4121e+01 1.0720e+02 1.6132e+02 6.2058e-01 1.2521e+01 8.5738e+00 1.1574e+01 2.9211e+02 3.3101e+02 -7.6551e+00 -3.0907e+03 2.5928e+03 1.3797e+02 -1.0630e+04 1.5555e+04 -1.1713e+03 1.8522e+03 7.8824e+02 8.8249e+02 2.0176e+01 5.3481e+01 1.0849e+02 1.6197e+02 6.2072e-01 1.2521e+01 8.5784e+00 1.1568e+01 2.9227e+02 3.3105e+02 -7.6505e+00 -3.0749e+03 2.5824e+03 1.3915e+02 -1.0698e+04 1.5687e+04 -1.1633e+03 1.8471e+03 7.8876e+02 8.8258e+02 2.0171e+01 5.2842e+01 1.0981e+02 1.6265e+02 6.2086e-01 1.2521e+01 8.5828e+00 1.1563e+01 2.9242e+02 3.3111e+02 -7.6462e+00 -3.0596e+03 2.5726e+03 1.4037e+02 -1.0770e+04 1.5823e+04 -1.1557e+03 1.8422e+03 7.8927e+02 8.8268e+02 2.0167e+01 5.2266e+01 1.1103e+02 1.6330e+02 6.2097e-01 1.2521e+01 8.5864e+00 1.1558e+01 2.9255e+02 3.3117e+02 -7.6426e+00 -3.0464e+03 2.5644e+03 1.4150e+02 -1.0841e+04 1.5948e+04 -1.1493e+03 1.8379e+03 7.8972e+02 8.8278e+02 2.0163e+01 5.1690e+01 1.1229e+02 1.6398e+02 6.2107e-01 1.2521e+01 8.5898e+00 1.1554e+01 2.9268e+02 3.3123e+02 -7.6393e+00 -3.0337e+03 2.5567e+03 1.4267e+02 -1.0915e+04 1.6077e+04 -1.1433e+03 1.8337e+03 7.9016e+02 8.8289e+02 2.0160e+01 5.1114e+01 1.1358e+02 1.6469e+02 6.2116e-01 1.2521e+01 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2.1947e+02 6.1543e-01 1.2521e+01 8.4218e+00 1.1767e+01 2.9590e+02 3.3991e+02 -7.8241e+00 -3.1448e+03 2.8528e+03 2.1224e+02 -1.7722e+04 2.3595e+04 -1.5347e+03 1.9206e+03 7.9425e+02 9.0328e+02 2.0345e+01 3.2714e+01 1.8790e+02 2.2061e+02 6.1520e-01 1.2521e+01 8.4155e+00 1.1776e+01 2.9591e+02 3.4011e+02 -7.8317e+00 -3.1549e+03 2.8650e+03 2.1341e+02 -1.7857e+04 2.3725e+04 -1.5510e+03 1.9267e+03 7.9411e+02 9.0371e+02 2.0352e+01 3.2552e+01 1.8910e+02 2.2165e+02 6.1498e-01 1.2521e+01 8.4097e+00 1.1783e+01 2.9592e+02 3.4029e+02 -7.8387e+00 -3.1644e+03 2.8763e+03 2.1449e+02 -1.7980e+04 2.3844e+04 -1.5660e+03 1.9324e+03 7.9398e+02 9.0410e+02 2.0360e+01 4.6462e+01 1.2542e+02 1.7188e+02 6.2154e-01 1.2521e+01 8.6056e+00 1.1534e+01 2.9382e+02 3.3215e+02 -7.6241e+00 -2.9464e+03 2.5154e+03 1.5511e+02 -1.1851e+04 1.7426e+04 -1.1131e+03 1.8043e+03 7.9362e+02 8.8481e+02 2.0145e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.6462e+01 )