| 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 | 100.0000 | ° |
| 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 = 3.280787e+01 ; Vswe = 1.890513e+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] 8.7193e+01 6.9754e+01 1.5695e+02 6.0676e-01 1.2521e+01 8.2225e+00 1.2032e+01 2.8471e+02 3.3245e+02 -8.1147e+00 -4.1662e+03 3.3552e+03 1.2484e+02 -1.1434e+04 1.2646e+04 -1.6462e+03 2.3162e+03 7.6040e+02 8.8673e+02 2.0635e+01 8.6105e+01 7.0490e+01 1.5660e+02 6.0751e-01 1.2521e+01 8.2402e+00 1.2009e+01 2.8501e+02 3.3227e+02 -8.0891e+00 -4.1146e+03 3.3173e+03 1.2485e+02 -1.1393e+04 1.2704e+04 -1.6277e+03 2.3018e+03 7.6153e+02 8.8648e+02 2.0610e+01 8.5018e+01 7.1248e+01 1.5627e+02 6.0825e-01 1.2521e+01 8.2578e+00 1.1985e+01 2.8530e+02 3.3209e+02 -8.0641e+00 -4.0634e+03 3.2795e+03 1.2489e+02 -1.1354e+04 1.2764e+04 -1.6092e+03 2.2875e+03 7.6267e+02 8.8624e+02 2.0585e+01 8.3930e+01 7.2028e+01 1.5596e+02 6.0898e-01 1.2521e+01 8.2754e+00 1.1962e+01 2.8560e+02 3.3192e+02 -8.0396e+00 -4.0124e+03 3.2419e+03 1.2497e+02 -1.1317e+04 1.2828e+04 -1.5908e+03 2.2733e+03 7.6381e+02 8.8599e+02 2.0560e+01 8.2842e+01 7.2832e+01 1.5567e+02 6.0969e-01 1.2521e+01 8.2929e+00 1.1939e+01 2.8589e+02 3.3174e+02 -8.0155e+00 -3.9618e+03 3.2044e+03 1.2508e+02 -1.1281e+04 1.2894e+04 -1.5724e+03 2.2590e+03 7.6495e+02 8.8575e+02 2.0536e+01 8.1754e+01 7.3661e+01 1.5542e+02 6.1039e-01 1.2521e+01 8.3104e+00 1.1916e+01 2.8619e+02 3.3157e+02 -7.9919e+00 -3.9116e+03 3.1671e+03 1.2523e+02 -1.1249e+04 1.2963e+04 -1.5542e+03 2.2448e+03 7.6610e+02 8.8551e+02 2.0513e+01 8.0667e+01 7.4515e+01 1.5518e+02 6.1108e-01 1.2521e+01 8.3279e+00 1.1893e+01 2.8649e+02 3.3140e+02 -7.9689e+00 -3.8617e+03 3.1300e+03 1.2543e+02 -1.1218e+04 1.3035e+04 -1.5360e+03 2.2307e+03 7.6724e+02 8.8527e+02 2.0490e+01 7.9579e+01 7.5397e+01 1.5498e+02 6.1175e-01 1.2521e+01 8.3453e+00 1.1871e+01 2.8679e+02 3.3124e+02 -7.9463e+00 -3.8123e+03 3.0931e+03 1.2566e+02 -1.1190e+04 1.3110e+04 -1.5180e+03 2.2166e+03 7.6838e+02 8.8503e+02 2.0467e+01 7.8491e+01 7.6307e+01 1.5480e+02 6.1241e-01 1.2521e+01 8.3626e+00 1.1848e+01 2.8708e+02 3.3107e+02 -7.9242e+00 -3.7632e+03 3.0564e+03 1.2594e+02 -1.1164e+04 1.3188e+04 -1.5001e+03 2.2025e+03 7.6952e+02 8.8479e+02 2.0445e+01 7.7404e+01 7.7246e+01 1.5465e+02 6.1306e-01 1.2521e+01 8.3798e+00 1.1826e+01 2.8738e+02 3.3092e+02 -7.9027e+00 -3.7146e+03 3.0200e+03 1.2626e+02 -1.1141e+04 1.3270e+04 -1.4822e+03 2.1884e+03 7.7067e+02 8.8456e+02 2.0423e+01 7.6316e+01 7.8217e+01 1.5453e+02 6.1369e-01 1.2521e+01 8.3970e+00 1.1804e+01 2.8768e+02 3.3076e+02 -7.8817e+00 -3.6664e+03 2.9839e+03 1.2663e+02 -1.1121e+04 1.3355e+04 -1.4646e+03 2.1744e+03 7.7181e+02 8.8433e+02 2.0402e+01 7.5228e+01 7.9219e+01 1.5445e+02 6.1431e-01 1.2521e+01 8.4140e+00 1.1782e+01 2.8798e+02 3.3061e+02 -7.8611e+00 -3.6186e+03 2.9480e+03 1.2705e+02 -1.1104e+04 1.3445e+04 -1.4470e+03 2.1605e+03 7.7295e+02 8.8410e+02 2.0382e+01 7.4141e+01 8.0255e+01 1.5440e+02 6.1491e-01 1.2521e+01 8.4309e+00 1.1760e+01 2.8828e+02 3.3047e+02 -7.8412e+00 -3.5714e+03 2.9125e+03 1.2752e+02 -1.1090e+04 1.3538e+04 -1.4297e+03 2.1466e+03 7.7408e+02 8.8387e+02 2.0362e+01 7.3053e+01 8.1327e+01 1.5438e+02 6.1550e-01 1.2521e+01 8.4477e+00 1.1738e+01 2.8857e+02 3.3033e+02 -7.8217e+00 -3.5246e+03 2.8773e+03 1.2804e+02 -1.1080e+04 1.3635e+04 -1.4128e+03 2.1327e+03 7.7522e+02 8.8364e+02 2.0342e+01 7.1965e+01 8.2436e+01 1.5440e+02 6.1607e-01 1.2521e+01 8.4642e+00 1.1717e+01 2.8887e+02 3.3019e+02 -7.8028e+00 -3.4784e+03 2.8425e+03 1.2861e+02 -1.1073e+04 1.3736e+04 -1.3958e+03 2.1189e+03 7.7635e+02 8.8342e+02 2.0324e+01 7.0877e+01 8.3584e+01 1.5446e+02 6.1663e-01 1.2521e+01 8.4807e+00 1.1696e+01 2.8917e+02 3.3007e+02 -7.7844e+00 -3.4328e+03 2.8082e+03 1.2924e+02 -1.1070e+04 1.3841e+04 -1.3787e+03 2.1051e+03 7.7747e+02 8.8321e+02 2.0305e+01 6.9790e+01 8.4773e+01 1.5456e+02 6.1717e-01 1.2521e+01 8.4969e+00 1.1675e+01 2.8946e+02 3.2994e+02 -7.7665e+00 -3.3878e+03 2.7742e+03 1.2993e+02 -1.1071e+04 1.3951e+04 -1.3614e+03 2.0914e+03 7.7860e+02 8.8300e+02 2.0287e+01 6.8702e+01 8.6006e+01 1.5471e+02 6.1770e-01 1.2521e+01 8.5128e+00 1.1655e+01 2.8976e+02 3.2983e+02 -7.7493e+00 -3.3433e+03 2.7408e+03 1.3068e+02 -1.1076e+04 1.4066e+04 -1.3441e+03 2.0778e+03 7.7971e+02 8.8279e+02 2.0270e+01 6.7614e+01 8.7284e+01 1.5490e+02 6.1821e-01 1.2521e+01 8.5286e+00 1.1635e+01 2.9006e+02 3.2972e+02 -7.7326e+00 -3.2996e+03 2.7079e+03 1.3149e+02 -1.1085e+04 1.4186e+04 -1.3262e+03 2.0642e+03 7.8082e+02 8.8259e+02 2.0253e+01 6.6527e+01 8.8610e+01 1.5514e+02 6.1870e-01 1.2521e+01 8.5440e+00 1.1615e+01 2.9035e+02 3.2962e+02 -7.7164e+00 -3.2566e+03 2.6756e+03 1.3236e+02 -1.1100e+04 1.4311e+04 -1.3087e+03 2.0507e+03 7.8192e+02 8.8240e+02 2.0237e+01 6.5548e+01 8.9847e+01 1.5539e+02 6.1913e-01 1.2521e+01 8.5577e+00 1.1598e+01 2.9061e+02 3.2954e+02 -7.7024e+00 -3.2185e+03 2.6471e+03 1.3320e+02 -1.1117e+04 1.4429e+04 -1.2929e+03 2.0386e+03 7.8291e+02 8.8223e+02 2.0223e+01 6.4569e+01 9.1127e+01 1.5570e+02 6.1954e-01 1.2521e+01 8.5710e+00 1.1581e+01 2.9088e+02 3.2946e+02 -7.6889e+00 -3.1810e+03 2.6191e+03 1.3410e+02 -1.1139e+04 1.4551e+04 -1.2769e+03 2.0266e+03 7.8388e+02 8.8207e+02 2.0210e+01 6.3590e+01 9.2453e+01 1.5604e+02 6.1994e-01 1.2521e+01 8.5841e+00 1.1565e+01 2.9114e+02 3.2939e+02 -7.6759e+00 -3.1442e+03 2.5918e+03 1.3506e+02 -1.1165e+04 1.4678e+04 -1.2609e+03 2.0147e+03 7.8485e+02 8.8191e+02 2.0197e+01 6.2709e+01 9.3686e+01 1.5640e+02 6.2029e-01 1.2521e+01 8.5956e+00 1.1550e+01 2.9137e+02 3.2934e+02 -7.6646e+00 -3.1118e+03 2.5677e+03 1.3597e+02 -1.1193e+04 1.4797e+04 -1.2461e+03 2.0041e+03 7.8571e+02 8.8178e+02 2.0185e+01 6.1828e+01 9.4961e+01 1.5679e+02 6.2062e-01 1.2521e+01 8.6067e+00 1.1536e+01 2.9161e+02 3.2929e+02 -7.6538e+00 -3.0799e+03 2.5442e+03 1.3694e+02 -1.1226e+04 1.4920e+04 -1.2316e+03 1.9935e+03 7.8657e+02 8.8165e+02 2.0175e+01 6.0947e+01 9.6278e+01 1.5722e+02 6.2094e-01 1.2521e+01 8.6176e+00 1.1523e+01 2.9184e+02 3.2925e+02 -7.6433e+00 -3.0487e+03 2.5214e+03 1.3795e+02 -1.1263e+04 1.5048e+04 -1.2170e+03 1.9830e+03 7.8741e+02 8.8154e+02 2.0164e+01 6.0154e+01 9.7501e+01 1.5766e+02 6.2122e-01 1.2521e+01 8.6271e+00 1.1511e+01 2.9204e+02 3.2922e+02 -7.6343e+00 -3.0212e+03 2.5014e+03 1.3892e+02 -1.1301e+04 1.5167e+04 -1.2036e+03 1.9737e+03 7.8816e+02 8.8144e+02 2.0155e+01 5.9361e+01 9.8763e+01 1.5812e+02 6.2149e-01 1.2521e+01 8.6363e+00 1.1499e+01 2.9225e+02 3.2920e+02 -7.6257e+00 -2.9943e+03 2.4819e+03 1.3992e+02 -1.1342e+04 1.5290e+04 -1.1903e+03 1.9645e+03 7.8890e+02 8.8135e+02 2.0146e+01 5.8568e+01 1.0006e+02 1.5863e+02 6.2174e-01 1.2521e+01 8.6452e+00 1.1488e+01 2.9245e+02 3.2919e+02 -7.6174e+00 -2.9680e+03 2.4631e+03 1.4098e+02 -1.1389e+04 1.5417e+04 -1.1768e+03 1.9553e+03 7.8963e+02 8.8127e+02 2.0138e+01 5.7775e+01 1.0141e+02 1.5918e+02 6.2198e-01 1.2521e+01 8.6538e+00 1.1478e+01 2.9266e+02 3.2918e+02 -7.6096e+00 -2.9423e+03 2.4449e+03 1.4208e+02 -1.1440e+04 1.5548e+04 -1.1635e+03 1.9463e+03 7.9035e+02 8.8120e+02 2.0130e+01 5.7061e+01 1.0265e+02 1.5971e+02 6.2219e-01 1.2521e+01 8.6612e+00 1.1468e+01 2.9284e+02 3.2919e+02 -7.6029e+00 -2.9199e+03 2.4291e+03 1.4311e+02 -1.1490e+04 1.5671e+04 -1.1512e+03 1.9382e+03 7.9099e+02 8.8115e+02 2.0124e+01 5.6348e+01 1.0393e+02 1.6028e+02 6.2239e-01 1.2521e+01 8.6683e+00 1.1460e+01 2.9302e+02 3.2920e+02 -7.5965e+00 -2.8980e+03 2.4139e+03 1.4419e+02 -1.1544e+04 1.5797e+04 -1.1391e+03 1.9303e+03 7.9162e+02 8.8110e+02 2.0117e+01 5.5634e+01 1.0526e+02 1.6089e+02 6.2258e-01 1.2521e+01 8.6750e+00 1.1451e+01 2.9320e+02 3.2921e+02 -7.5904e+00 -2.8767e+03 2.3993e+03 1.4531e+02 -1.1603e+04 1.5927e+04 -1.1268e+03 1.9225e+03 7.9223e+02 8.8107e+02 2.0111e+01 5.4992e+01 1.0648e+02 1.6147e+02 6.2274e-01 1.2521e+01 8.6808e+00 1.1444e+01 2.9336e+02 3.2924e+02 -7.5853e+00 -2.8581e+03 2.3868e+03 1.4636e+02 -1.1661e+04 1.6048e+04 -1.1158e+03 1.9155e+03 7.9278e+02 8.8105e+02 2.0106e+01 5.4349e+01 1.0774e+02 1.6209e+02 6.2289e-01 1.2521e+01 8.6863e+00 1.1437e+01 2.9352e+02 3.2926e+02 -7.5804e+00 -2.8401e+03 2.3748e+03 1.4744e+02 -1.1722e+04 1.6172e+04 -1.1050e+03 1.9087e+03 7.9331e+02 8.8103e+02 2.0101e+01 5.3707e+01 1.0903e+02 1.6274e+02 6.2303e-01 1.2521e+01 8.6914e+00 1.1431e+01 2.9367e+02 3.2930e+02 -7.5759e+00 -2.8229e+03 2.3635e+03 1.4857e+02 -1.1788e+04 1.6300e+04 -1.0945e+03 1.9020e+03 7.9384e+02 8.8103e+02 2.0097e+01 5.3065e+01 1.1036e+02 1.6342e+02 6.2316e-01 1.2521e+01 8.6963e+00 1.1425e+01 2.9383e+02 3.2934e+02 -7.5717e+00 -2.8064e+03 2.3527e+03 1.4973e+02 -1.1858e+04 1.6432e+04 -1.0844e+03 1.8955e+03 7.9435e+02 8.8105e+02 2.0092e+01 5.2487e+01 1.1159e+02 1.6407e+02 6.2327e-01 1.2521e+01 8.7003e+00 1.1420e+01 2.9397e+02 3.2939e+02 -7.5681e+00 -2.7920e+03 2.3436e+03 1.5082e+02 -1.1926e+04 1.6554e+04 -1.0758e+03 1.8897e+03 7.9480e+02 8.8107e+02 2.0089e+01 5.1909e+01 1.1285e+02 1.6476e+02 6.2337e-01 1.2521e+01 8.7041e+00 1.1415e+01 2.9410e+02 3.2944e+02 -7.5649e+00 -2.7782e+03 2.3351e+03 1.5193e+02 -1.1997e+04 1.6680e+04 -1.0675e+03 1.8840e+03 7.9524e+02 8.8110e+02 2.0086e+01 5.1331e+01 1.1414e+02 1.6548e+02 6.2346e-01 1.2521e+01 8.7075e+00 1.1411e+01 2.9424e+02 3.2950e+02 -7.5619e+00 -2.7650e+03 2.3272e+03 1.5309e+02 -1.2073e+04 1.6808e+04 -1.0596e+03 1.8785e+03 7.9567e+02 8.8115e+02 2.0083e+01 5.0753e+01 1.1548e+02 1.6623e+02 6.2354e-01 1.2521e+01 8.7106e+00 1.1407e+01 2.9437e+02 3.2957e+02 -7.5592e+00 -2.7523e+03 2.3199e+03 1.5428e+02 -1.2153e+04 1.6941e+04 -1.0521e+03 1.8731e+03 7.9609e+02 8.8121e+02 2.0080e+01 5.0232e+01 1.1670e+02 1.6694e+02 6.2361e-01 1.2521e+01 8.7131e+00 1.1404e+01 2.9449e+02 3.2963e+02 -7.5571e+00 -2.7414e+03 2.3139e+03 1.5538e+02 -1.2229e+04 1.7063e+04 -1.0458e+03 1.8684e+03 7.9646e+02 8.8127e+02 2.0078e+01 4.9712e+01 1.1796e+02 1.6768e+02 6.2367e-01 1.2521e+01 8.7153e+00 1.1401e+01 2.9461e+02 3.2971e+02 -7.5552e+00 -2.7310e+03 2.3084e+03 1.5652e+02 -1.2309e+04 1.7189e+04 -1.0399e+03 1.8638e+03 7.9681e+02 8.8135e+02 2.0076e+01 4.9192e+01 1.1926e+02 1.6845e+02 6.2372e-01 1.2521e+01 8.7172e+00 1.1399e+01 2.9473e+02 3.2979e+02 -7.5535e+00 -2.7211e+03 2.3035e+03 1.5769e+02 -1.2394e+04 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2.2042e+02 6.1795e-01 1.2521e+01 8.5219e+00 1.1643e+01 2.9730e+02 3.3792e+02 -7.7410e+00 -2.8755e+03 2.6463e+03 2.1968e+02 -1.8394e+04 2.4049e+04 -1.3936e+03 1.9163e+03 7.9856e+02 8.9986e+02 2.0262e+01 3.2855e+01 1.8871e+02 2.2156e+02 6.1773e-01 1.2521e+01 8.5152e+00 1.1652e+01 2.9731e+02 3.3812e+02 -7.7483e+00 -2.8859e+03 2.6593e+03 2.2083e+02 -1.8522e+04 2.4177e+04 -1.4096e+03 1.9219e+03 7.9841e+02 9.0031e+02 2.0269e+01 3.2692e+01 1.8991e+02 2.2260e+02 6.1752e-01 1.2521e+01 8.5090e+00 1.1659e+01 2.9732e+02 3.3830e+02 -7.7551e+00 -2.8956e+03 2.6712e+03 2.2189e+02 -1.8640e+04 2.4294e+04 -1.4245e+03 1.9271e+03 7.9826e+02 9.0071e+02 2.0276e+01 4.6578e+01 1.2628e+02 1.7286e+02 6.2384e-01 1.2521e+01 8.7217e+00 1.1393e+01 2.9529e+02 3.3030e+02 -7.5497e+00 -2.6805e+03 2.2886e+03 1.6410e+02 -1.2886e+04 1.8018e+04 -1.0151e+03 1.8397e+03 7.9872e+02 8.8218e+02 2.0070e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.6578e+01 )