| 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 | 92.0000 | ° |
| 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 = 3.265032e+01 ; Vswe = 1.881434e+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] 8.6783e+01 6.9427e+01 1.5621e+02 6.0479e-01 1.2521e+01 8.1611e+00 1.2112e+01 2.8390e+02 3.3339e+02 -8.1818e+00 -4.3097e+03 3.4787e+03 1.1564e+02 -1.0640e+04 1.1990e+04 -1.7072e+03 2.2209e+03 7.5673e+02 8.8559e+02 2.0703e+01 8.5701e+01 7.0157e+01 1.5586e+02 6.0555e-01 1.2521e+01 8.1779e+00 1.2089e+01 2.8419e+02 3.3322e+02 -8.1560e+00 -4.2594e+03 3.4421e+03 1.1565e+02 -1.0595e+04 1.2053e+04 -1.6895e+03 2.2078e+03 7.5786e+02 8.8541e+02 2.0677e+01 8.4618e+01 7.0910e+01 1.5553e+02 6.0629e-01 1.2521e+01 8.1947e+00 1.2067e+01 2.8448e+02 3.3305e+02 -8.1306e+00 -4.2095e+03 3.4057e+03 1.1571e+02 -1.0553e+04 1.2119e+04 -1.6720e+03 2.1947e+03 7.5899e+02 8.8522e+02 2.0651e+01 8.3535e+01 7.1685e+01 1.5522e+02 6.0702e-01 1.2521e+01 8.2115e+00 1.2044e+01 2.8476e+02 3.3289e+02 -8.1057e+00 -4.1600e+03 3.3695e+03 1.1580e+02 -1.0512e+04 1.2187e+04 -1.6544e+03 2.1817e+03 7.6012e+02 8.8503e+02 2.0626e+01 8.2453e+01 7.2483e+01 1.5494e+02 6.0774e-01 1.2521e+01 8.2282e+00 1.2022e+01 2.8505e+02 3.3272e+02 -8.0813e+00 -4.1109e+03 3.3334e+03 1.1593e+02 -1.0474e+04 1.2258e+04 -1.6367e+03 2.1688e+03 7.6126e+02 8.8485e+02 2.0602e+01 8.1370e+01 7.3307e+01 1.5468e+02 6.0845e-01 1.2521e+01 8.2448e+00 1.2000e+01 2.8534e+02 3.3257e+02 -8.0574e+00 -4.0621e+03 3.2976e+03 1.1610e+02 -1.0437e+04 1.2332e+04 -1.6190e+03 2.1559e+03 7.6239e+02 8.8466e+02 2.0578e+01 8.0287e+01 7.4156e+01 1.5444e+02 6.0914e-01 1.2521e+01 8.2614e+00 1.1978e+01 2.8563e+02 3.3241e+02 -8.0340e+00 -4.0137e+03 3.2620e+03 1.1632e+02 -1.0403e+04 1.2409e+04 -1.6011e+03 2.1431e+03 7.6352e+02 8.8448e+02 2.0555e+01 7.9205e+01 7.5031e+01 1.5424e+02 6.0982e-01 1.2521e+01 8.2779e+00 1.1956e+01 2.8591e+02 3.3226e+02 -8.0112e+00 -3.9658e+03 3.2266e+03 1.1658e+02 -1.0371e+04 1.2489e+04 -1.5832e+03 2.1304e+03 7.6465e+02 8.8431e+02 2.0532e+01 7.8122e+01 7.5935e+01 1.5406e+02 6.1049e-01 1.2521e+01 8.2943e+00 1.1935e+01 2.8620e+02 3.3211e+02 -7.9888e+00 -3.9183e+03 3.1915e+03 1.1689e+02 -1.0342e+04 1.2572e+04 -1.5652e+03 2.1177e+03 7.6578e+02 8.8413e+02 2.0510e+01 7.7039e+01 7.6868e+01 1.5391e+02 6.1114e-01 1.2521e+01 8.3106e+00 1.1913e+01 2.8649e+02 3.3197e+02 -7.9669e+00 -3.8712e+03 3.1566e+03 1.1724e+02 -1.0316e+04 1.2658e+04 -1.5465e+03 2.1051e+03 7.6691e+02 8.8396e+02 2.0488e+01 7.5957e+01 7.7832e+01 1.5379e+02 6.1177e-01 1.2521e+01 8.3268e+00 1.1892e+01 2.8678e+02 3.3183e+02 -7.9456e+00 -3.8246e+03 3.1221e+03 1.1765e+02 -1.0292e+04 1.2748e+04 -1.5283e+03 2.0925e+03 7.6804e+02 8.8379e+02 2.0466e+01 7.4874e+01 7.8828e+01 1.5370e+02 6.1240e-01 1.2521e+01 8.3429e+00 1.1871e+01 2.8707e+02 3.3169e+02 -7.9248e+00 -3.7785e+03 3.0878e+03 1.1811e+02 -1.0271e+04 1.2842e+04 -1.5101e+03 2.0800e+03 7.6917e+02 8.8362e+02 2.0446e+01 7.3791e+01 7.9858e+01 1.5365e+02 6.1301e-01 1.2521e+01 8.3588e+00 1.1850e+01 2.8736e+02 3.3156e+02 -7.9045e+00 -3.7330e+03 3.0539e+03 1.1862e+02 -1.0254e+04 1.2940e+04 -1.4917e+03 2.0676e+03 7.7029e+02 8.8346e+02 2.0425e+01 7.2709e+01 8.0922e+01 1.5363e+02 6.1360e-01 1.2521e+01 8.3746e+00 1.1830e+01 2.8764e+02 3.3144e+02 -7.8847e+00 -3.6879e+03 3.0204e+03 1.1919e+02 -1.0239e+04 1.3041e+04 -1.4733e+03 2.0553e+03 7.7141e+02 8.8330e+02 2.0406e+01 7.1626e+01 8.2024e+01 1.5365e+02 6.1418e-01 1.2521e+01 8.3902e+00 1.1809e+01 2.8793e+02 3.3132e+02 -7.8655e+00 -3.6434e+03 2.9873e+03 1.1981e+02 -1.0229e+04 1.3147e+04 -1.4547e+03 2.0431e+03 7.7253e+02 8.8315e+02 2.0386e+01 7.0543e+01 8.3165e+01 1.5371e+02 6.1474e-01 1.2521e+01 8.4057e+00 1.1790e+01 2.8822e+02 3.3121e+02 -7.8468e+00 -3.5996e+03 2.9547e+03 1.2049e+02 -1.0222e+04 1.3257e+04 -1.4361e+03 2.0309e+03 7.7364e+02 8.8300e+02 2.0368e+01 6.9461e+01 8.4347e+01 1.5381e+02 6.1529e-01 1.2521e+01 8.4209e+00 1.1770e+01 2.8850e+02 3.3110e+02 -7.8287e+00 -3.5563e+03 2.9225e+03 1.2123e+02 -1.0219e+04 1.3372e+04 -1.4174e+03 2.0188e+03 7.7475e+02 8.8286e+02 2.0350e+01 6.8378e+01 8.5571e+01 1.5395e+02 6.1582e-01 1.2521e+01 8.4358e+00 1.1751e+01 2.8879e+02 3.3100e+02 -7.8112e+00 -3.5137e+03 2.8908e+03 1.2204e+02 -1.0220e+04 1.3492e+04 -1.3985e+03 2.0069e+03 7.7585e+02 8.8273e+02 2.0332e+01 6.7295e+01 8.6841e+01 1.5414e+02 6.1633e-01 1.2521e+01 8.4506e+00 1.1732e+01 2.8907e+02 3.3091e+02 -7.7942e+00 -3.4718e+03 2.8597e+03 1.2290e+02 -1.0226e+04 1.3616e+04 -1.3796e+03 1.9950e+03 7.7694e+02 8.8260e+02 2.0315e+01 6.6213e+01 8.8159e+01 1.5437e+02 6.1683e-01 1.2521e+01 8.4650e+00 1.1713e+01 2.8936e+02 3.3083e+02 -7.7778e+00 -3.4306e+03 2.8291e+03 1.2384e+02 -1.0237e+04 1.3746e+04 -1.3606e+03 1.9832e+03 7.7803e+02 8.8248e+02 2.0299e+01 6.5238e+01 8.9388e+01 1.5463e+02 6.1726e-01 1.2521e+01 8.4777e+00 1.1697e+01 2.8961e+02 3.3076e+02 -7.7636e+00 -3.3943e+03 2.8022e+03 1.2474e+02 -1.0251e+04 1.3868e+04 -1.3433e+03 1.9728e+03 7.7900e+02 8.8238e+02 2.0284e+01 6.4264e+01 9.0661e+01 1.5492e+02 6.1768e-01 1.2521e+01 8.4902e+00 1.1681e+01 2.8987e+02 3.3070e+02 -7.7498e+00 -3.3585e+03 2.7759e+03 1.2570e+02 -1.0269e+04 1.3994e+04 -1.3260e+03 1.9624e+03 7.7996e+02 8.8229e+02 2.0271e+01 6.3290e+01 9.1978e+01 1.5527e+02 6.1808e-01 1.2521e+01 8.5024e+00 1.1665e+01 2.9012e+02 3.3064e+02 -7.7366e+00 -3.3235e+03 2.7501e+03 1.2671e+02 -1.0293e+04 1.4125e+04 -1.3087e+03 1.9521e+03 7.8091e+02 8.8221e+02 2.0257e+01 6.2413e+01 9.3204e+01 1.5562e+02 6.1843e-01 1.2521e+01 8.5130e+00 1.1652e+01 2.9034e+02 3.3060e+02 -7.7252e+00 -3.2926e+03 2.7275e+03 1.2768e+02 -1.0319e+04 1.4248e+04 -1.2930e+03 1.9430e+03 7.8176e+02 8.8214e+02 2.0246e+01 6.1536e+01 9.4471e+01 1.5601e+02 6.1877e-01 1.2521e+01 8.5234e+00 1.1639e+01 2.9057e+02 3.3057e+02 -7.7141e+00 -3.2623e+03 2.7055e+03 1.2870e+02 -1.0349e+04 1.4375e+04 -1.2773e+03 1.9340e+03 7.8260e+02 8.8208e+02 2.0235e+01 6.0659e+01 9.5780e+01 1.5644e+02 6.1910e-01 1.2521e+01 8.5335e+00 1.1626e+01 2.9079e+02 3.3055e+02 -7.7035e+00 -3.2327e+03 2.6840e+03 1.2978e+02 -1.0384e+04 1.4506e+04 -1.2615e+03 1.9251e+03 7.8343e+02 8.8204e+02 2.0224e+01 5.9869e+01 9.6996e+01 1.5687e+02 6.1938e-01 1.2521e+01 8.5423e+00 1.1615e+01 2.9099e+02 3.3053e+02 -7.6944e+00 -3.2067e+03 2.6653e+03 1.3079e+02 -1.0419e+04 1.4629e+04 -1.2475e+03 1.9171e+03 7.8417e+02 8.8200e+02 2.0215e+01 5.9080e+01 9.8250e+01 1.5733e+02 6.1964e-01 1.2521e+01 8.5509e+00 1.1604e+01 2.9119e+02 3.3052e+02 -7.6856e+00 -3.1813e+03 2.6471e+03 1.3185e+02 -1.0460e+04 1.4755e+04 -1.2337e+03 1.9094e+03 7.8490e+02 8.8198e+02 2.0206e+01 5.8291e+01 9.9543e+01 1.5783e+02 6.1990e-01 1.2521e+01 8.5591e+00 1.1593e+01 2.9139e+02 3.3052e+02 -7.6772e+00 -3.1568e+03 2.6295e+03 1.3295e+02 -1.0505e+04 1.4886e+04 -1.2204e+03 1.9017e+03 7.8562e+02 8.8197e+02 2.0198e+01 5.7502e+01 1.0088e+02 1.5838e+02 6.2015e-01 1.2521e+01 8.5670e+00 1.1583e+01 2.9159e+02 3.3053e+02 -7.6693e+00 -3.1330e+03 2.6125e+03 1.3411e+02 -1.0555e+04 1.5021e+04 -1.2073e+03 1.8941e+03 7.8633e+02 8.8196e+02 2.0190e+01 5.6791e+01 1.0212e+02 1.5891e+02 6.2036e-01 1.2521e+01 8.5738e+00 1.1575e+01 2.9176e+02 3.3054e+02 -7.6624e+00 -3.1121e+03 2.5978e+03 1.3519e+02 -1.0605e+04 1.5146e+04 -1.1959e+03 1.8875e+03 7.8696e+02 8.8197e+02 2.0183e+01 5.6081e+01 1.0339e+02 1.5947e+02 6.2056e-01 1.2521e+01 8.5804e+00 1.1567e+01 2.9193e+02 3.3056e+02 -7.6559e+00 -3.0918e+03 2.5837e+03 1.3632e+02 -1.0659e+04 1.5276e+04 -1.1849e+03 1.8809e+03 7.8758e+02 8.8199e+02 2.0177e+01 5.5371e+01 1.0470e+02 1.6008e+02 6.2075e-01 1.2521e+01 8.5866e+00 1.1559e+01 2.9211e+02 3.3059e+02 -7.6498e+00 -3.0721e+03 2.5701e+03 1.3749e+02 -1.0718e+04 1.5409e+04 -1.1742e+03 1.8745e+03 7.8819e+02 8.8203e+02 2.0171e+01 5.4731e+01 1.0592e+02 1.6065e+02 6.2091e-01 1.2521e+01 8.5919e+00 1.1552e+01 2.9226e+02 3.3062e+02 -7.6446e+00 -3.0550e+03 2.5585e+03 1.3858e+02 -1.0776e+04 1.5533e+04 -1.1650e+03 1.8688e+03 7.8873e+02 8.8207e+02 2.0165e+01 5.4092e+01 1.0717e+02 1.6126e+02 6.2106e-01 1.2521e+01 8.5970e+00 1.1546e+01 2.9242e+02 3.3066e+02 -7.6397e+00 -3.0383e+03 2.5474e+03 1.3971e+02 -1.0838e+04 1.5660e+04 -1.1561e+03 1.8633e+03 7.8926e+02 8.8212e+02 2.0160e+01 5.3453e+01 1.0846e+02 1.6191e+02 6.2120e-01 1.2521e+01 8.6017e+00 1.1540e+01 2.9257e+02 3.3071e+02 -7.6351e+00 -3.0223e+03 2.5369e+03 1.4088e+02 -1.0905e+04 1.5791e+04 -1.1477e+03 1.8579e+03 7.8978e+02 8.8219e+02 2.0156e+01 5.2813e+01 1.0978e+02 1.6259e+02 6.2133e-01 1.2521e+01 8.6062e+00 1.1534e+01 2.9272e+02 3.3076e+02 -7.6308e+00 -3.0068e+03 2.5270e+03 1.4208e+02 -1.0977e+04 1.5926e+04 -1.1396e+03 1.8527e+03 7.9028e+02 8.8227e+02 2.0152e+01 5.2238e+01 1.1100e+02 1.6324e+02 6.2144e-01 1.2521e+01 8.6099e+00 1.1529e+01 2.9285e+02 3.3081e+02 -7.6272e+00 -2.9934e+03 2.5186e+03 1.4321e+02 -1.1047e+04 1.6051e+04 -1.1328e+03 1.8481e+03 7.9073e+02 8.8235e+02 2.0148e+01 5.1663e+01 1.1226e+02 1.6392e+02 6.2154e-01 1.2521e+01 8.6133e+00 1.1525e+01 2.9299e+02 3.3087e+02 -7.6239e+00 -2.9806e+03 2.5107e+03 1.4437e+02 -1.1121e+04 1.6179e+04 -1.1264e+03 1.8436e+03 7.9117e+02 8.8245e+02 2.0145e+01 5.1087e+01 1.1354e+02 1.6463e+02 6.2163e-01 1.2521e+01 8.6165e+00 1.1521e+01 2.9312e+02 3.3094e+02 -7.6209e+00 -2.9682e+03 2.5034e+03 1.4556e+02 -1.1200e+04 1.6310e+04 -1.1203e+03 1.8393e+03 7.9160e+02 8.8256e+02 2.0142e+01 5.0512e+01 1.1487e+02 1.6538e+02 6.2172e-01 1.2521e+01 8.6193e+00 1.1518e+01 2.9325e+02 3.3102e+02 -7.6182e+00 -2.9565e+03 2.4967e+03 1.4679e+02 -1.1283e+04 1.6445e+04 -1.1148e+03 1.8352e+03 7.9202e+02 8.8269e+02 2.0139e+01 4.9994e+01 1.1609e+02 1.6609e+02 6.2178e-01 1.2521e+01 8.6216e+00 1.1515e+01 2.9336e+02 3.3109e+02 -7.6161e+00 -2.9464e+03 2.4912e+03 1.4793e+02 -1.1363e+04 1.6570e+04 -1.1102e+03 1.8316e+03 7.9238e+02 8.8282e+02 2.0137e+01 4.9476e+01 1.1734e+02 1.6682e+02 6.2184e-01 1.2521e+01 8.6236e+00 1.1512e+01 2.9348e+02 3.3117e+02 -7.6142e+00 -2.9368e+03 2.4862e+03 1.4911e+02 -1.1448e+04 1.6698e+04 -1.1061e+03 1.8281e+03 7.9274e+02 8.8297e+02 2.0135e+01 4.8959e+01 1.1863e+02 1.6759e+02 6.2189e-01 1.2521e+01 8.6254e+00 1.1510e+01 2.9359e+02 3.3126e+02 -7.6125e+00 -2.9277e+03 2.4818e+03 1.5031e+02 -1.1536e+04 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2.1936e+02 6.1596e-01 1.2521e+01 8.4429e+00 1.1741e+01 2.9620e+02 3.3952e+02 -7.8065e+00 -3.0887e+03 2.8090e+03 2.1348e+02 -1.7817e+04 2.3658e+04 -1.5032e+03 1.9186e+03 7.9514e+02 9.0252e+02 2.0327e+01 3.2697e+01 1.8780e+02 2.2050e+02 6.1573e-01 1.2521e+01 8.4366e+00 1.1749e+01 2.9621e+02 3.3971e+02 -7.8140e+00 -3.0988e+03 2.8214e+03 2.1465e+02 -1.7950e+04 2.3788e+04 -1.5194e+03 1.9246e+03 7.9499e+02 9.0295e+02 2.0335e+01 3.2535e+01 1.8900e+02 2.2154e+02 6.1552e-01 1.2521e+01 8.4307e+00 1.1757e+01 2.9623e+02 3.3990e+02 -7.8210e+00 -3.1083e+03 2.8328e+03 2.1572e+02 -1.8072e+04 2.3906e+04 -1.5344e+03 1.9302e+03 7.9486e+02 9.0334e+02 2.0342e+01 4.6424e+01 1.2542e+02 1.7185e+02 6.2201e-01 1.2521e+01 8.6294e+00 1.1505e+01 2.9413e+02 3.3178e+02 -7.6088e+00 -2.8915e+03 2.4685e+03 1.5673e+02 -1.2044e+04 1.7523e+04 -1.0918e+03 1.8112e+03 7.9463e+02 8.8420e+02 2.0130e+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 )