| 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 | 91.0000 | ° |
| 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 = 3.265606e+01 ; Vswe = 1.881765e+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] 8.6799e+01 6.9439e+01 1.5624e+02 6.0451e-01 1.2521e+01 8.1525e+00 1.2123e+01 2.8379e+02 3.3351e+02 -8.1914e+00 -4.3306e+03 3.4963e+03 1.1456e+02 -1.0549e+04 1.1919e+04 -1.7163e+03 2.2091e+03 7.5626e+02 8.8550e+02 2.0712e+01 8.5716e+01 7.0170e+01 1.5589e+02 6.0527e-01 1.2521e+01 8.1692e+00 1.2100e+01 2.8407e+02 3.3334e+02 -8.1654e+00 -4.2805e+03 3.4598e+03 1.1457e+02 -1.0504e+04 1.1982e+04 -1.6987e+03 2.1962e+03 7.5739e+02 8.8532e+02 2.0686e+01 8.4633e+01 7.0922e+01 1.5556e+02 6.0602e-01 1.2521e+01 8.1859e+00 1.2078e+01 2.8436e+02 3.3318e+02 -8.1400e+00 -4.2307e+03 3.4236e+03 1.1462e+02 -1.0461e+04 1.2048e+04 -1.6810e+03 2.1833e+03 7.5852e+02 8.8514e+02 2.0661e+01 8.3550e+01 7.1697e+01 1.5525e+02 6.0675e-01 1.2521e+01 8.2026e+00 1.2056e+01 2.8464e+02 3.3302e+02 -8.1150e+00 -4.1813e+03 3.3875e+03 1.1472e+02 -1.0420e+04 1.2117e+04 -1.6632e+03 2.1705e+03 7.5965e+02 8.8496e+02 2.0636e+01 8.2468e+01 7.2495e+01 1.5496e+02 6.0747e-01 1.2521e+01 8.2192e+00 1.2034e+01 2.8493e+02 3.3285e+02 -8.0905e+00 -4.1322e+03 3.3516e+03 1.1485e+02 -1.0381e+04 1.2188e+04 -1.6453e+03 2.1577e+03 7.6078e+02 8.8478e+02 2.0611e+01 8.1385e+01 7.3318e+01 1.5470e+02 6.0818e-01 1.2521e+01 8.2357e+00 1.2012e+01 2.8522e+02 3.3270e+02 -8.0666e+00 -4.0836e+03 3.3159e+03 1.1502e+02 -1.0344e+04 1.2263e+04 -1.6273e+03 2.1450e+03 7.6191e+02 8.8460e+02 2.0587e+01 8.0302e+01 7.4167e+01 1.5447e+02 6.0887e-01 1.2521e+01 8.2522e+00 1.1990e+01 2.8550e+02 3.3254e+02 -8.0431e+00 -4.0354e+03 3.2804e+03 1.1524e+02 -1.0309e+04 1.2340e+04 -1.6087e+03 2.1323e+03 7.6305e+02 8.8443e+02 2.0564e+01 7.9219e+01 7.5042e+01 1.5426e+02 6.0955e-01 1.2521e+01 8.2686e+00 1.1968e+01 2.8579e+02 3.3239e+02 -8.0201e+00 -3.9876e+03 3.2452e+03 1.1551e+02 -1.0277e+04 1.2421e+04 -1.5906e+03 2.1198e+03 7.6418e+02 8.8426e+02 2.0541e+01 7.8136e+01 7.5946e+01 1.5408e+02 6.1022e-01 1.2521e+01 8.2849e+00 1.1947e+01 2.8608e+02 3.3225e+02 -7.9977e+00 -3.9402e+03 3.2102e+03 1.1582e+02 -1.0247e+04 1.2505e+04 -1.5724e+03 2.1072e+03 7.6531e+02 8.8409e+02 2.0518e+01 7.7053e+01 7.6879e+01 1.5393e+02 6.1087e-01 1.2521e+01 8.3012e+00 1.1925e+01 2.8636e+02 3.3210e+02 -7.9758e+00 -3.8933e+03 3.1755e+03 1.1618e+02 -1.0220e+04 1.2592e+04 -1.5541e+03 2.0948e+03 7.6644e+02 8.8393e+02 2.0497e+01 7.5970e+01 7.7842e+01 1.5381e+02 6.1151e-01 1.2521e+01 8.3173e+00 1.1904e+01 2.8665e+02 3.3197e+02 -7.9543e+00 -3.8468e+03 3.1411e+03 1.1659e+02 -1.0196e+04 1.2682e+04 -1.5358e+03 2.0824e+03 7.6756e+02 8.8377e+02 2.0475e+01 7.4888e+01 7.8838e+01 1.5373e+02 6.1214e-01 1.2521e+01 8.3332e+00 1.1883e+01 2.8694e+02 3.3183e+02 -7.9335e+00 -3.8009e+03 3.1071e+03 1.1706e+02 -1.0175e+04 1.2777e+04 -1.5173e+03 2.0701e+03 7.6869e+02 8.8361e+02 2.0454e+01 7.3805e+01 7.9867e+01 1.5367e+02 6.1275e-01 1.2521e+01 8.3491e+00 1.1863e+01 2.8723e+02 3.3171e+02 -7.9131e+00 -3.7554e+03 3.0733e+03 1.1758e+02 -1.0156e+04 1.2875e+04 -1.4988e+03 2.0579e+03 7.6981e+02 8.8346e+02 2.0434e+01 7.2722e+01 8.0932e+01 1.5365e+02 6.1334e-01 1.2521e+01 8.3648e+00 1.1842e+01 2.8751e+02 3.3158e+02 -7.8933e+00 -3.7106e+03 3.0400e+03 1.1815e+02 -1.0141e+04 1.2977e+04 -1.4801e+03 2.0458e+03 7.7093e+02 8.8331e+02 2.0414e+01 7.1639e+01 8.2033e+01 1.5367e+02 6.1392e-01 1.2521e+01 8.3803e+00 1.1822e+01 2.8780e+02 3.3146e+02 -7.8740e+00 -3.6663e+03 3.0071e+03 1.1878e+02 -1.0130e+04 1.3084e+04 -1.4614e+03 2.0337e+03 7.7204e+02 8.8316e+02 2.0395e+01 7.0556e+01 8.3174e+01 1.5373e+02 6.1449e-01 1.2521e+01 8.3956e+00 1.1802e+01 2.8808e+02 3.3135e+02 -7.8552e+00 -3.6225e+03 2.9746e+03 1.1947e+02 -1.0123e+04 1.3194e+04 -1.4426e+03 2.0218e+03 7.7316e+02 8.8302e+02 2.0376e+01 6.9473e+01 8.4355e+01 1.5383e+02 6.1503e-01 1.2521e+01 8.4107e+00 1.1783e+01 2.8837e+02 3.3125e+02 -7.8371e+00 -3.5794e+03 2.9426e+03 1.2022e+02 -1.0119e+04 1.3310e+04 -1.4237e+03 2.0099e+03 7.7426e+02 8.8289e+02 2.0358e+01 6.8390e+01 8.5580e+01 1.5397e+02 6.1557e-01 1.2521e+01 8.4256e+00 1.1764e+01 2.8865e+02 3.3115e+02 -7.8195e+00 -3.5370e+03 2.9110e+03 1.2103e+02 -1.0120e+04 1.3430e+04 -1.4046e+03 1.9981e+03 7.7536e+02 8.8276e+02 2.0340e+01 6.7308e+01 8.6849e+01 1.5416e+02 6.1608e-01 1.2521e+01 8.4402e+00 1.1745e+01 2.8894e+02 3.3106e+02 -7.8024e+00 -3.4953e+03 2.8801e+03 1.2190e+02 -1.0125e+04 1.3555e+04 -1.3856e+03 1.9865e+03 7.7645e+02 8.8264e+02 2.0323e+01 6.6225e+01 8.8167e+01 1.5439e+02 6.1658e-01 1.2521e+01 8.4545e+00 1.1726e+01 2.8922e+02 3.3098e+02 -7.7860e+00 -3.4543e+03 2.8498e+03 1.2285e+02 -1.0135e+04 1.3685e+04 -1.3664e+03 1.9749e+03 7.7754e+02 8.8253e+02 2.0307e+01 6.5250e+01 8.9396e+01 1.5465e+02 6.1702e-01 1.2521e+01 8.4672e+00 1.1710e+01 2.8947e+02 3.3091e+02 -7.7717e+00 -3.4181e+03 2.8230e+03 1.2376e+02 -1.0149e+04 1.3807e+04 -1.3489e+03 1.9646e+03 7.7850e+02 8.8244e+02 2.0293e+01 6.4276e+01 9.0668e+01 1.5494e+02 6.1744e-01 1.2521e+01 8.4795e+00 1.1694e+01 2.8973e+02 3.3085e+02 -7.7579e+00 -3.3825e+03 2.7968e+03 1.2472e+02 -1.0167e+04 1.3934e+04 -1.3315e+03 1.9545e+03 7.7946e+02 8.8236e+02 2.0279e+01 6.3301e+01 9.1985e+01 1.5529e+02 6.1784e-01 1.2521e+01 8.4916e+00 1.1679e+01 2.8998e+02 3.3080e+02 -7.7447e+00 -3.3477e+03 2.7712e+03 1.2575e+02 -1.0190e+04 1.4066e+04 -1.3140e+03 1.9444e+03 7.8041e+02 8.8229e+02 2.0265e+01 6.2424e+01 9.3211e+01 1.5564e+02 6.1819e-01 1.2521e+01 8.5022e+00 1.1665e+01 2.9020e+02 3.3076e+02 -7.7331e+00 -3.3169e+03 2.7488e+03 1.2672e+02 -1.0215e+04 1.4189e+04 -1.2982e+03 1.9355e+03 7.8126e+02 8.8223e+02 2.0254e+01 6.1547e+01 9.4478e+01 1.5602e+02 6.1853e-01 1.2521e+01 8.5125e+00 1.1652e+01 2.9043e+02 3.3073e+02 -7.7221e+00 -3.2868e+03 2.7269e+03 1.2775e+02 -1.0245e+04 1.4317e+04 -1.2823e+03 1.9266e+03 7.8210e+02 8.8218e+02 2.0243e+01 6.0670e+01 9.5787e+01 1.5646e+02 6.1885e-01 1.2521e+01 8.5225e+00 1.1639e+01 2.9065e+02 3.3071e+02 -7.7115e+00 -3.2574e+03 2.7056e+03 1.2883e+02 -1.0280e+04 1.4449e+04 -1.2667e+03 1.9179e+03 7.8293e+02 8.8214e+02 2.0232e+01 5.9880e+01 9.7003e+01 1.5688e+02 6.1913e-01 1.2521e+01 8.5313e+00 1.1628e+01 2.9085e+02 3.3069e+02 -7.7023e+00 -3.2315e+03 2.6869e+03 1.2985e+02 -1.0315e+04 1.4572e+04 -1.2529e+03 1.9102e+03 7.8367e+02 8.8212e+02 2.0223e+01 5.9091e+01 9.8257e+01 1.5735e+02 6.1940e-01 1.2521e+01 8.5397e+00 1.1618e+01 2.9105e+02 3.3069e+02 -7.6935e+00 -3.2065e+03 2.6689e+03 1.3092e+02 -1.0355e+04 1.4698e+04 -1.2394e+03 1.9026e+03 7.8440e+02 8.8210e+02 2.0214e+01 5.8301e+01 9.9550e+01 1.5785e+02 6.1966e-01 1.2521e+01 8.5479e+00 1.1607e+01 2.9124e+02 3.3069e+02 -7.6851e+00 -3.1822e+03 2.6514e+03 1.3203e+02 -1.0400e+04 1.4830e+04 -1.2263e+03 1.8951e+03 7.8512e+02 8.8210e+02 2.0206e+01 5.7512e+01 1.0088e+02 1.5840e+02 6.1991e-01 1.2521e+01 8.5557e+00 1.1597e+01 2.9144e+02 3.3070e+02 -7.6771e+00 -3.1584e+03 2.6346e+03 1.3320e+02 -1.0450e+04 1.4965e+04 -1.2135e+03 1.8877e+03 7.8583e+02 8.8210e+02 2.0198e+01 5.6802e+01 1.0212e+02 1.5892e+02 6.2012e-01 1.2521e+01 8.5625e+00 1.1589e+01 2.9161e+02 3.3071e+02 -7.6702e+00 -3.1377e+03 2.6200e+03 1.3429e+02 -1.0500e+04 1.5091e+04 -1.2024e+03 1.8812e+03 7.8646e+02 8.8212e+02 2.0191e+01 5.6091e+01 1.0340e+02 1.5949e+02 6.2032e-01 1.2521e+01 8.5690e+00 1.1581e+01 2.9179e+02 3.3073e+02 -7.6637e+00 -3.1175e+03 2.6059e+03 1.3542e+02 -1.0554e+04 1.5221e+04 -1.1916e+03 1.8748e+03 7.8707e+02 8.8215e+02 2.0184e+01 5.5381e+01 1.0471e+02 1.6009e+02 6.2051e-01 1.2521e+01 8.5751e+00 1.1573e+01 2.9196e+02 3.3076e+02 -7.6575e+00 -3.0980e+03 2.5925e+03 1.3659e+02 -1.0613e+04 1.5355e+04 -1.1812e+03 1.8686e+03 7.8768e+02 8.8219e+02 2.0178e+01 5.4741e+01 1.0593e+02 1.6067e+02 6.2067e-01 1.2521e+01 8.5804e+00 1.1566e+01 2.9211e+02 3.3079e+02 -7.6523e+00 -3.0809e+03 2.5810e+03 1.3769e+02 -1.0671e+04 1.5479e+04 -1.1722e+03 1.8631e+03 7.8822e+02 8.8224e+02 2.0173e+01 5.4102e+01 1.0718e+02 1.6128e+02 6.2082e-01 1.2521e+01 8.5854e+00 1.1560e+01 2.9227e+02 3.3083e+02 -7.6474e+00 -3.0644e+03 2.5700e+03 1.3883e+02 -1.0734e+04 1.5607e+04 -1.1636e+03 1.8577e+03 7.8875e+02 8.8230e+02 2.0168e+01 5.3462e+01 1.0846e+02 1.6192e+02 6.2096e-01 1.2521e+01 8.5901e+00 1.1554e+01 2.9242e+02 3.3088e+02 -7.6427e+00 -3.0484e+03 2.5595e+03 1.4000e+02 -1.0801e+04 1.5738e+04 -1.1553e+03 1.8525e+03 7.8927e+02 8.8238e+02 2.0164e+01 5.2823e+01 1.0978e+02 1.6261e+02 6.2109e-01 1.2521e+01 8.5945e+00 1.1548e+01 2.9257e+02 3.3093e+02 -7.6384e+00 -3.0331e+03 2.5497e+03 1.4122e+02 -1.0873e+04 1.5873e+04 -1.1476e+03 1.8474e+03 7.8978e+02 8.8247e+02 2.0159e+01 5.2247e+01 1.1101e+02 1.6325e+02 6.2120e-01 1.2521e+01 8.5982e+00 1.1544e+01 2.9270e+02 3.3099e+02 -7.6349e+00 -3.0198e+03 2.5414e+03 1.4235e+02 -1.0943e+04 1.5998e+04 -1.1409e+03 1.8430e+03 7.9023e+02 8.8256e+02 2.0156e+01 5.1672e+01 1.1226e+02 1.6393e+02 6.2131e-01 1.2521e+01 8.6016e+00 1.1539e+01 2.9283e+02 3.3105e+02 -7.6316e+00 -3.0070e+03 2.5336e+03 1.4351e+02 -1.1018e+04 1.6127e+04 -1.1347e+03 1.8387e+03 7.9066e+02 8.8267e+02 2.0152e+01 5.1097e+01 1.1355e+02 1.6465e+02 6.2140e-01 1.2521e+01 8.6047e+00 1.1536e+01 2.9297e+02 3.3112e+02 -7.6286e+00 -2.9948e+03 2.5263e+03 1.4471e+02 -1.1097e+04 1.6259e+04 -1.1289e+03 1.8345e+03 7.9109e+02 8.8279e+02 2.0149e+01 5.0521e+01 1.1487e+02 1.6540e+02 6.2148e-01 1.2521e+01 8.6076e+00 1.1532e+01 2.9310e+02 3.3120e+02 -7.6259e+00 -2.9831e+03 2.5197e+03 1.4595e+02 -1.1181e+04 1.6394e+04 -1.1236e+03 1.8305e+03 7.9151e+02 8.8293e+02 2.0147e+01 5.0003e+01 1.1610e+02 1.6610e+02 6.2155e-01 1.2521e+01 8.6098e+00 1.1529e+01 2.9321e+02 3.3127e+02 -7.6237e+00 -2.9731e+03 2.5142e+03 1.4709e+02 -1.1262e+04 1.6520e+04 -1.1192e+03 1.8271e+03 7.9188e+02 8.8307e+02 2.0144e+01 4.9485e+01 1.1735e+02 1.6684e+02 6.2161e-01 1.2521e+01 8.6118e+00 1.1527e+01 2.9333e+02 3.3135e+02 -7.6218e+00 -2.9636e+03 2.5093e+03 1.4827e+02 -1.1347e+04 1.6648e+04 -1.1153e+03 1.8237e+03 7.9224e+02 8.8322e+02 2.0143e+01 4.8967e+01 1.1864e+02 1.6760e+02 6.2166e-01 1.2521e+01 8.6135e+00 1.1524e+01 2.9344e+02 3.3144e+02 -7.6202e+00 -2.9546e+03 2.5049e+03 1.4948e+02 -1.1436e+04 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2.1940e+02 6.1570e-01 1.2521e+01 8.4324e+00 1.1754e+01 2.9605e+02 3.3971e+02 -7.8152e+00 -3.1166e+03 2.8307e+03 2.1285e+02 -1.7768e+04 2.3625e+04 -1.5187e+03 1.9195e+03 7.9469e+02 9.0290e+02 2.0336e+01 3.2703e+01 1.8783e+02 2.2054e+02 6.1547e-01 1.2521e+01 8.4261e+00 1.1762e+01 2.9606e+02 3.3991e+02 -7.8228e+00 -3.1267e+03 2.8430e+03 2.1402e+02 -1.7902e+04 2.3755e+04 -1.5350e+03 1.9256e+03 7.9455e+02 9.0333e+02 2.0344e+01 3.2540e+01 1.8904e+02 2.2158e+02 6.1526e-01 1.2521e+01 8.4203e+00 1.1770e+01 2.9608e+02 3.4009e+02 -7.8298e+00 -3.1362e+03 2.8544e+03 2.1509e+02 -1.8024e+04 2.3873e+04 -1.5500e+03 1.9312e+03 7.9442e+02 9.0372e+02 2.0351e+01 4.6439e+01 1.2541e+02 1.7185e+02 6.2178e-01 1.2521e+01 8.6176e+00 1.1519e+01 2.9398e+02 3.3196e+02 -7.6164e+00 -2.9188e+03 2.4918e+03 1.5591e+02 -1.1947e+04 1.7473e+04 -1.1023e+03 1.8078e+03 7.9412e+02 8.8450e+02 2.0137e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.6439e+01 )