| 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 | 105.0000 | ° |
| 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 = 3.309497e+01 ; Vswe = 1.907057e+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] 8.7944e+01 7.0356e+01 1.5830e+02 6.0777e-01 1.2521e+01 8.2540e+00 1.1992e+01 2.8509e+02 3.3194e+02 -8.0806e+00 -4.0977e+03 3.2934e+03 1.3119e+02 -1.2000e+04 1.3137e+04 -1.6157e+03 2.3778e+03 7.6259e+02 8.8776e+02 2.0601e+01 8.6847e+01 7.1097e+01 1.5794e+02 6.0852e-01 1.2521e+01 8.2722e+00 1.1968e+01 2.8539e+02 3.3175e+02 -8.0549e+00 -4.0448e+03 3.2544e+03 1.3118e+02 -1.1960e+04 1.3191e+04 -1.5966e+03 2.3626e+03 7.6374e+02 8.8748e+02 2.0576e+01 8.5750e+01 7.1861e+01 1.5761e+02 6.0927e-01 1.2521e+01 8.2905e+00 1.1944e+01 2.8570e+02 3.3156e+02 -8.0298e+00 -3.9923e+03 3.2154e+03 1.3121e+02 -1.1922e+04 1.3248e+04 -1.5775e+03 2.3475e+03 7.6489e+02 8.8719e+02 2.0551e+01 8.4653e+01 7.2647e+01 1.5730e+02 6.1000e-01 1.2521e+01 8.3087e+00 1.1920e+01 2.8600e+02 3.3137e+02 -8.0051e+00 -3.9400e+03 3.1767e+03 1.3128e+02 -1.1886e+04 1.3308e+04 -1.5585e+03 2.3324e+03 7.6603e+02 8.8691e+02 2.0526e+01 8.3557e+01 7.3458e+01 1.5701e+02 6.1072e-01 1.2521e+01 8.3269e+00 1.1896e+01 2.8630e+02 3.3119e+02 -7.9810e+00 -3.8881e+03 3.1380e+03 1.3138e+02 -1.1852e+04 1.3371e+04 -1.5396e+03 2.3173e+03 7.6719e+02 8.8663e+02 2.0502e+01 8.2460e+01 7.4294e+01 1.5675e+02 6.1142e-01 1.2521e+01 8.3451e+00 1.1873e+01 2.8661e+02 3.3100e+02 -7.9573e+00 -3.8365e+03 3.0995e+03 1.3152e+02 -1.1820e+04 1.3436e+04 -1.5208e+03 2.3022e+03 7.6834e+02 8.8635e+02 2.0478e+01 8.1363e+01 7.5155e+01 1.5652e+02 6.1211e-01 1.2521e+01 8.3632e+00 1.1849e+01 2.8691e+02 3.3082e+02 -7.9342e+00 -3.7853e+03 3.0612e+03 1.3170e+02 -1.1791e+04 1.3505e+04 -1.5020e+03 2.2872e+03 7.6949e+02 8.8606e+02 2.0455e+01 8.0266e+01 7.6044e+01 1.5631e+02 6.1279e-01 1.2521e+01 8.3813e+00 1.1825e+01 2.8722e+02 3.3065e+02 -7.9116e+00 -3.7345e+03 3.0231e+03 1.3191e+02 -1.1765e+04 1.3577e+04 -1.4834e+03 2.2721e+03 7.7064e+02 8.8578e+02 2.0432e+01 7.9169e+01 7.6962e+01 1.5613e+02 6.1346e-01 1.2521e+01 8.3994e+00 1.1802e+01 2.8752e+02 3.3048e+02 -7.8895e+00 -3.6840e+03 2.9852e+03 1.3218e+02 -1.1741e+04 1.3652e+04 -1.4648e+03 2.2571e+03 7.7180e+02 8.8551e+02 2.0410e+01 7.8072e+01 7.7909e+01 1.5598e+02 6.1411e-01 1.2521e+01 8.4173e+00 1.1779e+01 2.8783e+02 3.3031e+02 -7.8678e+00 -3.6340e+03 2.9475e+03 1.3248e+02 -1.1719e+04 1.3731e+04 -1.4463e+03 2.2421e+03 7.7295e+02 8.8523e+02 2.0389e+01 7.6975e+01 7.8887e+01 1.5586e+02 6.1474e-01 1.2521e+01 8.4352e+00 1.1756e+01 2.8813e+02 3.3014e+02 -7.8467e+00 -3.5843e+03 2.9101e+03 1.3283e+02 -1.1701e+04 1.3813e+04 -1.4280e+03 2.2272e+03 7.7410e+02 8.8495e+02 2.0368e+01 7.5878e+01 7.9898e+01 1.5578e+02 6.1536e-01 1.2521e+01 8.4529e+00 1.1733e+01 2.8844e+02 3.2998e+02 -7.8262e+00 -3.5351e+03 2.8729e+03 1.3322e+02 -1.1686e+04 1.3900e+04 -1.4098e+03 2.2122e+03 7.7525e+02 8.8468e+02 2.0347e+01 7.4781e+01 8.0943e+01 1.5572e+02 6.1597e-01 1.2521e+01 8.4706e+00 1.1711e+01 2.8875e+02 3.2982e+02 -7.8061e+00 -3.4864e+03 2.8361e+03 1.3367e+02 -1.1673e+04 1.3989e+04 -1.3918e+03 2.1973e+03 7.7640e+02 8.8441e+02 2.0327e+01 7.3684e+01 8.2023e+01 1.5571e+02 6.1656e-01 1.2521e+01 8.4881e+00 1.1688e+01 2.8905e+02 3.2967e+02 -7.7866e+00 -3.4382e+03 2.7995e+03 1.3416e+02 -1.1664e+04 1.4083e+04 -1.3740e+03 2.1824e+03 7.7755e+02 8.8414e+02 2.0307e+01 7.2587e+01 8.3142e+01 1.5573e+02 6.1714e-01 1.2521e+01 8.5055e+00 1.1666e+01 2.8936e+02 3.2952e+02 -7.7676e+00 -3.3905e+03 2.7634e+03 1.3471e+02 -1.1659e+04 1.4182e+04 -1.3563e+03 2.1676e+03 7.7869e+02 8.8388e+02 2.0288e+01 7.1490e+01 8.4299e+01 1.5579e+02 6.1770e-01 1.2521e+01 8.5226e+00 1.1644e+01 2.8966e+02 3.2938e+02 -7.7492e+00 -3.3433e+03 2.7276e+03 1.3531e+02 -1.1658e+04 1.4284e+04 -1.3388e+03 2.1528e+03 7.7983e+02 8.8362e+02 2.0270e+01 7.0393e+01 8.5499e+01 1.5589e+02 6.1825e-01 1.2521e+01 8.5396e+00 1.1623e+01 2.8997e+02 3.2925e+02 -7.7313e+00 -3.2967e+03 2.6923e+03 1.3597e+02 -1.1660e+04 1.4392e+04 -1.3216e+03 2.1380e+03 7.8097e+02 8.8336e+02 2.0252e+01 6.9296e+01 8.6741e+01 1.5604e+02 6.1877e-01 1.2521e+01 8.5564e+00 1.1602e+01 2.9027e+02 3.2912e+02 -7.7140e+00 -3.2507e+03 2.6575e+03 1.3669e+02 -1.1667e+04 1.4504e+04 -1.3046e+03 2.1233e+03 7.8210e+02 8.8310e+02 2.0235e+01 6.8199e+01 8.8030e+01 1.5623e+02 6.1929e-01 1.2521e+01 8.5729e+00 1.1581e+01 2.9058e+02 3.2900e+02 -7.6973e+00 -3.2054e+03 2.6231e+03 1.3747e+02 -1.1678e+04 1.4621e+04 -1.2881e+03 2.1086e+03 7.8322e+02 8.8286e+02 2.0218e+01 6.7102e+01 8.9368e+01 1.5647e+02 6.1978e-01 1.2521e+01 8.5891e+00 1.1560e+01 2.9088e+02 3.2889e+02 -7.6811e+00 -3.1607e+03 2.5894e+03 1.3831e+02 -1.1694e+04 1.4743e+04 -1.2715e+03 2.0940e+03 7.8434e+02 8.8261e+02 2.0202e+01 6.6114e+01 9.0615e+01 1.5673e+02 6.2021e-01 1.2521e+01 8.6035e+00 1.1542e+01 2.9115e+02 3.2879e+02 -7.6671e+00 -3.1212e+03 2.5596e+03 1.3912e+02 -1.1713e+04 1.4858e+04 -1.2566e+03 2.0808e+03 7.8534e+02 8.8240e+02 2.0188e+01 6.5127e+01 9.1906e+01 1.5703e+02 6.2063e-01 1.2521e+01 8.6176e+00 1.1525e+01 2.9142e+02 3.2870e+02 -7.6536e+00 -3.0823e+03 2.5303e+03 1.3999e+02 -1.1736e+04 1.4978e+04 -1.2410e+03 2.0678e+03 7.8633e+02 8.8219e+02 2.0174e+01 6.4140e+01 9.3243e+01 1.5738e+02 6.2103e-01 1.2521e+01 8.6314e+00 1.1508e+01 2.9169e+02 3.2862e+02 -7.6405e+00 -3.0440e+03 2.5017e+03 1.4092e+02 -1.1764e+04 1.5102e+04 -1.2259e+03 2.0548e+03 7.8731e+02 8.8199e+02 2.0161e+01 6.3251e+01 9.4487e+01 1.5774e+02 6.2138e-01 1.2521e+01 8.6435e+00 1.1492e+01 2.9193e+02 3.2856e+02 -7.6292e+00 -3.0102e+03 2.4764e+03 1.4180e+02 -1.1793e+04 1.5219e+04 -1.2123e+03 2.0432e+03 7.8818e+02 8.8182e+02 2.0150e+01 6.2363e+01 9.5772e+01 1.5813e+02 6.2172e-01 1.2521e+01 8.6553e+00 1.1478e+01 2.9217e+02 3.2850e+02 -7.6183e+00 -2.9770e+03 2.4518e+03 1.4274e+02 -1.1827e+04 1.5340e+04 -1.1981e+03 2.0316e+03 7.8905e+02 8.8165e+02 2.0139e+01 6.1474e+01 9.7100e+01 1.5857e+02 6.2204e-01 1.2521e+01 8.6668e+00 1.1463e+01 2.9241e+02 3.2845e+02 -7.6079e+00 -2.9444e+03 2.4277e+03 1.4372e+02 -1.1865e+04 1.5465e+04 -1.1843e+03 2.0201e+03 7.8990e+02 8.8149e+02 2.0129e+01 6.0674e+01 9.8334e+01 1.5901e+02 6.2232e-01 1.2521e+01 8.6769e+00 1.1451e+01 2.9262e+02 3.2841e+02 -7.5989e+00 -2.9157e+03 2.4067e+03 1.4466e+02 -1.1903e+04 1.5582e+04 -1.1718e+03 2.0098e+03 7.9066e+02 8.8135e+02 2.0120e+01 5.9875e+01 9.9607e+01 1.5948e+02 6.2258e-01 1.2521e+01 8.6866e+00 1.1439e+01 2.9283e+02 3.2838e+02 -7.5902e+00 -2.8876e+03 2.3862e+03 1.4564e+02 -1.1946e+04 1.5704e+04 -1.1589e+03 1.9996e+03 7.9141e+02 8.8122e+02 2.0111e+01 5.9075e+01 1.0092e+02 1.5999e+02 6.2284e-01 1.2521e+01 8.6960e+00 1.1427e+01 2.9304e+02 3.2836e+02 -7.5819e+00 -2.8601e+03 2.3663e+03 1.4666e+02 -1.1992e+04 1.5829e+04 -1.1463e+03 1.9895e+03 7.9215e+02 8.8110e+02 2.0103e+01 5.8275e+01 1.0227e+02 1.6055e+02 6.2308e-01 1.2521e+01 8.7051e+00 1.1416e+01 2.9325e+02 3.2834e+02 -7.5741e+00 -2.8332e+03 2.3472e+03 1.4774e+02 -1.2044e+04 1.5959e+04 -1.1334e+03 1.9795e+03 7.9288e+02 8.8099e+02 2.0095e+01 5.7556e+01 1.0353e+02 1.6108e+02 6.2329e-01 1.2521e+01 8.7130e+00 1.1406e+01 2.9344e+02 3.2833e+02 -7.5673e+00 -2.8096e+03 2.3305e+03 1.4875e+02 -1.2094e+04 1.6079e+04 -1.1219e+03 1.9706e+03 7.9353e+02 8.8090e+02 2.0088e+01 5.6836e+01 1.0482e+02 1.6166e+02 6.2349e-01 1.2521e+01 8.7205e+00 1.1397e+01 2.9362e+02 3.2833e+02 -7.5609e+00 -2.7867e+03 2.3144e+03 1.4980e+02 -1.2149e+04 1.6204e+04 -1.1102e+03 1.9618e+03 7.9416e+02 8.8081e+02 2.0082e+01 5.6116e+01 1.0615e+02 1.6227e+02 6.2368e-01 1.2521e+01 8.7277e+00 1.1388e+01 2.9380e+02 3.2834e+02 -7.5548e+00 -2.7643e+03 2.2990e+03 1.5090e+02 -1.2208e+04 1.6332e+04 -1.0986e+03 1.9531e+03 7.9479e+02 8.8074e+02 2.0076e+01 5.5468e+01 1.0739e+02 1.6286e+02 6.2384e-01 1.2521e+01 8.7339e+00 1.1380e+01 2.9397e+02 3.2836e+02 -7.5497e+00 -2.7447e+03 2.2857e+03 1.5192e+02 -1.2265e+04 1.6452e+04 -1.0880e+03 1.9453e+03 7.9534e+02 8.8068e+02 2.0070e+01 5.4821e+01 1.0866e+02 1.6348e+02 6.2399e-01 1.2521e+01 8.7397e+00 1.1373e+01 2.9413e+02 3.2838e+02 -7.5448e+00 -2.7257e+03 2.2731e+03 1.5299e+02 -1.2326e+04 1.6574e+04 -1.0775e+03 1.9377e+03 7.9588e+02 8.8063e+02 2.0066e+01 5.4173e+01 1.0996e+02 1.6413e+02 6.2414e-01 1.2521e+01 8.7452e+00 1.1366e+01 2.9429e+02 3.2841e+02 -7.5402e+00 -2.7073e+03 2.2610e+03 1.5409e+02 -1.2392e+04 1.6701e+04 -1.0668e+03 1.9301e+03 7.9641e+02 8.8059e+02 2.0061e+01 5.3525e+01 1.1130e+02 1.6483e+02 6.2427e-01 1.2521e+01 8.7504e+00 1.1360e+01 2.9445e+02 3.2844e+02 -7.5360e+00 -2.6894e+03 2.2496e+03 1.5523e+02 -1.2461e+04 1.6831e+04 -1.0561e+03 1.9227e+03 7.9692e+02 8.8056e+02 2.0057e+01 5.2942e+01 1.1254e+02 1.6548e+02 6.2438e-01 1.2521e+01 8.7547e+00 1.1355e+01 2.9459e+02 3.2848e+02 -7.5324e+00 -2.6739e+03 2.2399e+03 1.5629e+02 -1.2528e+04 1.6952e+04 -1.0465e+03 1.9162e+03 7.9738e+02 8.8054e+02 2.0053e+01 5.2359e+01 1.1381e+02 1.6617e+02 6.2448e-01 1.2521e+01 8.7587e+00 1.1350e+01 2.9473e+02 3.2853e+02 -7.5292e+00 -2.6590e+03 2.2309e+03 1.5739e+02 -1.2598e+04 1.7076e+04 -1.0370e+03 1.9097e+03 7.9782e+02 8.8054e+02 2.0050e+01 5.1776e+01 1.1512e+02 1.6690e+02 6.2457e-01 1.2521e+01 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2.2235e+02 6.1910e-01 1.2521e+01 8.5672e+00 1.1588e+01 2.9788e+02 3.3692e+02 -7.7033e+00 -2.7503e+03 2.5540e+03 2.2461e+02 -1.8873e+04 2.4412e+04 -1.3367e+03 1.9187e+03 8.0062e+02 8.9851e+02 2.0224e+01 3.3142e+01 1.9036e+02 2.2350e+02 6.1888e-01 1.2521e+01 8.5602e+00 1.1597e+01 2.9789e+02 3.3711e+02 -7.7106e+00 -2.7611e+03 2.5670e+03 2.2577e+02 -1.9001e+04 2.4540e+04 -1.3529e+03 1.9242e+03 8.0045e+02 8.9896e+02 2.0231e+01 3.2978e+01 1.9158e+02 2.2455e+02 6.1867e-01 1.2521e+01 8.5537e+00 1.1605e+01 2.9790e+02 3.3729e+02 -7.7173e+00 -2.7710e+03 2.5790e+03 2.2682e+02 -1.9117e+04 2.4657e+04 -1.3680e+03 1.9293e+03 8.0029e+02 8.9938e+02 2.0238e+01 4.6930e+01 1.2751e+02 1.7444e+02 6.2496e-01 1.2521e+01 8.7777e+00 1.1326e+01 2.9595e+02 3.2934e+02 -7.5137e+00 -2.5542e+03 2.1808e+03 1.6951e+02 -1.3479e+04 1.8417e+04 -9.7253e+02 1.8577e+03 8.0132e+02 8.8123e+02 2.0034e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.6930e+01 )