| 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 | 115.0000 | ° |
| 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 = 3.415180e+01 ; Vswe = 1.967955e+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] 9.0708e+01 7.2566e+01 1.6327e+02 6.0924e-01 1.2521e+01 8.2998e+00 1.1935e+01 2.8556e+02 3.3107e+02 -8.0307e+00 -4.0111e+03 3.2014e+03 1.4574e+02 -1.3332e+04 1.4347e+04 -1.5726e+03 2.5089e+03 7.6672e+02 8.9055e+02 2.0552e+01 8.9577e+01 7.3326e+01 1.6290e+02 6.1003e-01 1.2521e+01 8.3196e+00 1.1909e+01 2.8588e+02 3.3085e+02 -8.0041e+00 -3.9547e+03 3.1597e+03 1.4571e+02 -1.3292e+04 1.4394e+04 -1.5520e+03 2.4919e+03 7.6789e+02 8.9018e+02 2.0525e+01 8.8446e+01 7.4109e+01 1.6255e+02 6.1081e-01 1.2521e+01 8.3394e+00 1.1883e+01 2.8620e+02 3.3064e+02 -7.9779e+00 -3.8984e+03 3.1182e+03 1.4572e+02 -1.3255e+04 1.4443e+04 -1.5315e+03 2.4749e+03 7.6907e+02 8.8981e+02 2.0499e+01 8.7314e+01 7.4916e+01 1.6223e+02 6.1157e-01 1.2521e+01 8.3593e+00 1.1857e+01 2.8652e+02 3.3043e+02 -7.9523e+00 -3.8425e+03 3.0767e+03 1.4575e+02 -1.3220e+04 1.4495e+04 -1.5110e+03 2.4579e+03 7.7024e+02 8.8944e+02 2.0473e+01 8.6183e+01 7.5748e+01 1.6193e+02 6.1232e-01 1.2521e+01 8.3791e+00 1.1832e+01 2.8684e+02 3.3022e+02 -7.9272e+00 -3.7868e+03 3.0354e+03 1.4582e+02 -1.3188e+04 1.4550e+04 -1.4906e+03 2.4409e+03 7.7142e+02 8.8907e+02 2.0448e+01 8.5052e+01 7.6605e+01 1.6166e+02 6.1306e-01 1.2521e+01 8.3990e+00 1.1806e+01 2.8717e+02 3.3001e+02 -7.9027e+00 -3.7315e+03 2.9941e+03 1.4593e+02 -1.3157e+04 1.4609e+04 -1.4702e+03 2.4239e+03 7.7261e+02 8.8870e+02 2.0423e+01 8.3921e+01 7.7489e+01 1.6141e+02 6.1378e-01 1.2521e+01 8.4188e+00 1.1780e+01 2.8749e+02 3.2980e+02 -7.8787e+00 -3.6765e+03 2.9530e+03 1.4607e+02 -1.3129e+04 1.4670e+04 -1.4499e+03 2.4069e+03 7.7379e+02 8.8832e+02 2.0399e+01 8.2790e+01 7.8401e+01 1.6119e+02 6.1449e-01 1.2521e+01 8.4386e+00 1.1755e+01 2.8782e+02 3.2960e+02 -7.8552e+00 -3.6218e+03 2.9121e+03 1.4625e+02 -1.3104e+04 1.4735e+04 -1.4296e+03 2.3899e+03 7.7498e+02 8.8795e+02 2.0376e+01 8.1659e+01 7.9343e+01 1.6100e+02 6.1518e-01 1.2521e+01 8.4584e+00 1.1730e+01 2.8814e+02 3.2940e+02 -7.8322e+00 -3.5674e+03 2.8713e+03 1.4647e+02 -1.3081e+04 1.4803e+04 -1.4095e+03 2.3728e+03 7.7616e+02 8.8758e+02 2.0353e+01 8.0528e+01 8.0315e+01 1.6084e+02 6.1586e-01 1.2521e+01 8.4782e+00 1.1704e+01 2.8847e+02 3.2920e+02 -7.8098e+00 -3.5134e+03 2.8308e+03 1.4674e+02 -1.3061e+04 1.4875e+04 -1.3894e+03 2.3557e+03 7.7735e+02 8.8721e+02 2.0331e+01 7.9397e+01 8.1319e+01 1.6072e+02 6.1652e-01 1.2521e+01 8.4979e+00 1.1679e+01 2.8879e+02 3.2901e+02 -7.7879e+00 -3.4598e+03 2.7904e+03 1.4704e+02 -1.3044e+04 1.4951e+04 -1.3694e+03 2.3387e+03 7.7854e+02 8.8684e+02 2.0309e+01 7.8265e+01 8.2357e+01 1.6062e+02 6.1717e-01 1.2521e+01 8.5175e+00 1.1654e+01 2.8912e+02 3.2882e+02 -7.7666e+00 -3.4066e+03 2.7503e+03 1.4740e+02 -1.3031e+04 1.5030e+04 -1.3495e+03 2.3216e+03 7.7973e+02 8.8648e+02 2.0287e+01 7.7134e+01 8.3430e+01 1.6056e+02 6.1781e-01 1.2521e+01 8.5370e+00 1.1630e+01 2.8944e+02 3.2863e+02 -7.7458e+00 -3.3539e+03 2.7105e+03 1.4780e+02 -1.3020e+04 1.5113e+04 -1.3297e+03 2.3045e+03 7.8091e+02 8.8611e+02 2.0267e+01 7.6003e+01 8.4540e+01 1.6054e+02 6.1842e-01 1.2521e+01 8.5565e+00 1.1605e+01 2.8977e+02 3.2845e+02 -7.7255e+00 -3.3015e+03 2.6709e+03 1.4824e+02 -1.3013e+04 1.5201e+04 -1.3101e+03 2.2873e+03 7.8210e+02 8.8574e+02 2.0246e+01 7.4872e+01 8.5689e+01 1.6056e+02 6.1902e-01 1.2521e+01 8.5758e+00 1.1581e+01 2.9010e+02 3.2827e+02 -7.7059e+00 -3.2497e+03 2.6313e+03 1.4874e+02 -1.3009e+04 1.5293e+04 -1.2907e+03 2.2702e+03 7.8328e+02 8.8538e+02 2.0227e+01 7.3741e+01 8.6879e+01 1.6062e+02 6.1961e-01 1.2521e+01 8.5949e+00 1.1557e+01 2.9042e+02 3.2810e+02 -7.6868e+00 -3.1983e+03 2.5920e+03 1.4929e+02 -1.3010e+04 1.5389e+04 -1.2714e+03 2.2531e+03 7.8446e+02 8.8502e+02 2.0208e+01 7.2610e+01 8.8111e+01 1.6072e+02 6.2018e-01 1.2521e+01 8.6139e+00 1.1533e+01 2.9075e+02 3.2793e+02 -7.6683e+00 -3.1475e+03 2.5530e+03 1.4990e+02 -1.3014e+04 1.5491e+04 -1.2524e+03 2.2359e+03 7.8564e+02 8.8466e+02 2.0189e+01 7.1479e+01 8.9388e+01 1.6087e+02 6.2073e-01 1.2521e+01 8.6327e+00 1.1509e+01 2.9107e+02 3.2777e+02 -7.6503e+00 -3.0972e+03 2.5144e+03 1.5056e+02 -1.3023e+04 1.5597e+04 -1.2335e+03 2.2188e+03 7.8681e+02 8.8430e+02 2.0171e+01 7.0348e+01 9.0713e+01 1.6106e+02 6.2126e-01 1.2521e+01 8.6513e+00 1.1486e+01 2.9140e+02 3.2761e+02 -7.6330e+00 -3.0476e+03 2.4764e+03 1.5129e+02 -1.3036e+04 1.5708e+04 -1.2149e+03 2.2016e+03 7.8798e+02 8.8395e+02 2.0154e+01 6.9217e+01 9.2088e+01 1.6130e+02 6.2178e-01 1.2521e+01 8.6696e+00 1.1464e+01 2.9172e+02 3.2747e+02 -7.6162e+00 -2.9986e+03 2.4388e+03 1.5207e+02 -1.3054e+04 1.5825e+04 -1.1966e+03 2.1845e+03 7.8914e+02 8.8360e+02 2.0137e+01 6.8199e+01 9.3371e+01 1.6157e+02 6.2223e-01 1.2521e+01 8.6858e+00 1.1444e+01 2.9201e+02 3.2734e+02 -7.6017e+00 -2.9551e+03 2.4056e+03 1.5284e+02 -1.3074e+04 1.5935e+04 -1.1804e+03 2.1691e+03 7.9017e+02 8.8329e+02 2.0123e+01 6.7180e+01 9.4698e+01 1.6188e+02 6.2266e-01 1.2521e+01 8.7018e+00 1.1424e+01 2.9230e+02 3.2722e+02 -7.5877e+00 -2.9122e+03 2.3729e+03 1.5366e+02 -1.3099e+04 1.6050e+04 -1.1645e+03 2.1537e+03 7.9120e+02 8.8298e+02 2.0108e+01 6.6162e+01 9.6073e+01 1.6224e+02 6.2308e-01 1.2521e+01 8.7174e+00 1.1405e+01 2.9259e+02 3.2711e+02 -7.5742e+00 -2.8699e+03 2.3408e+03 1.5453e+02 -1.3129e+04 1.6170e+04 -1.1489e+03 2.1383e+03 7.9222e+02 8.8268e+02 2.0095e+01 6.5246e+01 9.7352e+01 1.6260e+02 6.2344e-01 1.2521e+01 8.7312e+00 1.1388e+01 2.9285e+02 3.2701e+02 -7.5625e+00 -2.8325e+03 2.3124e+03 1.5537e+02 -1.3159e+04 1.6282e+04 -1.1352e+03 2.1245e+03 7.9313e+02 8.8242e+02 2.0083e+01 6.4330e+01 9.8674e+01 1.6300e+02 6.2379e-01 1.2521e+01 8.7447e+00 1.1371e+01 2.9310e+02 3.2693e+02 -7.5512e+00 -2.7957e+03 2.2847e+03 1.5626e+02 -1.3194e+04 1.6399e+04 -1.1217e+03 2.1108e+03 7.9403e+02 8.8216e+02 2.0072e+01 6.3414e+01 1.0004e+02 1.6345e+02 6.2413e-01 1.2521e+01 8.7579e+00 1.1355e+01 2.9336e+02 3.2685e+02 -7.5404e+00 -2.7595e+03 2.2575e+03 1.5720e+02 -1.3234e+04 1.6520e+04 -1.1088e+03 2.0970e+03 7.9492e+02 8.8191e+02 2.0061e+01 6.2589e+01 1.0131e+02 1.6390e+02 6.2442e-01 1.2521e+01 8.7694e+00 1.1341e+01 2.9359e+02 3.2678e+02 -7.5310e+00 -2.7275e+03 2.2337e+03 1.5809e+02 -1.3273e+04 1.6634e+04 -1.0972e+03 2.0847e+03 7.9571e+02 8.8168e+02 2.0052e+01 6.1765e+01 1.0262e+02 1.6438e+02 6.2470e-01 1.2521e+01 8.7807e+00 1.1327e+01 2.9381e+02 3.2672e+02 -7.5220e+00 -2.6960e+03 2.2105e+03 1.5902e+02 -1.3317e+04 1.6751e+04 -1.0863e+03 2.0725e+03 7.9649e+02 8.8147e+02 2.0043e+01 6.0940e+01 1.0397e+02 1.6491e+02 6.2497e-01 1.2521e+01 8.7915e+00 1.1314e+01 2.9404e+02 3.2667e+02 -7.5135e+00 -2.6652e+03 2.1879e+03 1.6001e+02 -1.3364e+04 1.6873e+04 -1.0746e+03 2.0603e+03 7.9726e+02 8.8126e+02 2.0034e+01 6.0116e+01 1.0536e+02 1.6548e+02 6.2522e-01 1.2521e+01 8.8020e+00 1.1301e+01 2.9426e+02 3.2663e+02 -7.5053e+00 -2.6351e+03 2.1660e+03 1.6104e+02 -1.3417e+04 1.7000e+04 -1.0634e+03 2.0481e+03 7.9802e+02 8.8106e+02 2.0026e+01 5.9373e+01 1.0666e+02 1.6603e+02 6.2544e-01 1.2521e+01 8.8111e+00 1.1290e+01 2.9446e+02 3.2660e+02 -7.4983e+00 -2.6086e+03 2.1469e+03 1.6201e+02 -1.3468e+04 1.7118e+04 -1.0528e+03 2.0373e+03 7.9869e+02 8.8088e+02 2.0019e+01 5.8631e+01 1.0799e+02 1.6662e+02 6.2565e-01 1.2521e+01 8.8199e+00 1.1279e+01 2.9466e+02 3.2658e+02 -7.4916e+00 -2.5827e+03 2.1285e+03 1.6303e+02 -1.3523e+04 1.7239e+04 -1.0427e+03 2.0265e+03 7.9935e+02 8.8072e+02 2.0012e+01 5.7889e+01 1.0936e+02 1.6725e+02 6.2585e-01 1.2521e+01 8.8283e+00 1.1269e+01 2.9485e+02 3.2656e+02 -7.4853e+00 -2.5574e+03 2.1108e+03 1.6409e+02 -1.3582e+04 1.7365e+04 -1.0320e+03 2.0158e+03 8.0000e+02 8.8056e+02 2.0006e+01 5.7221e+01 1.1063e+02 1.6785e+02 6.2602e-01 1.2521e+01 8.8355e+00 1.1260e+01 2.9503e+02 3.2656e+02 -7.4799e+00 -2.5352e+03 2.0955e+03 1.6508e+02 -1.3639e+04 1.7482e+04 -1.0228e+03 2.0063e+03 8.0057e+02 8.8042e+02 2.0001e+01 5.6553e+01 1.1194e+02 1.6849e+02 6.2618e-01 1.2521e+01 8.8423e+00 1.1252e+01 2.9520e+02 3.2656e+02 -7.4748e+00 -2.5136e+03 2.0809e+03 1.6611e+02 -1.3700e+04 1.7602e+04 -1.0131e+03 1.9969e+03 8.0112e+02 8.8030e+02 1.9996e+01 5.5885e+01 1.1328e+02 1.6916e+02 6.2633e-01 1.2521e+01 8.8488e+00 1.1244e+01 2.9537e+02 3.2657e+02 -7.4701e+00 -2.4926e+03 2.0669e+03 1.6718e+02 -1.3764e+04 1.7727e+04 -1.0035e+03 1.9875e+03 8.0167e+02 8.8018e+02 1.9991e+01 5.5217e+01 1.1466e+02 1.6988e+02 6.2646e-01 1.2521e+01 8.8548e+00 1.1237e+01 2.9554e+02 3.2658e+02 -7.4656e+00 -2.4722e+03 2.0537e+03 1.6829e+02 -1.3833e+04 1.7855e+04 -9.9407e+02 1.9783e+03 8.0220e+02 8.8007e+02 1.9986e+01 5.4616e+01 1.1594e+02 1.7055e+02 6.2658e-01 1.2521e+01 8.8599e+00 1.1231e+01 2.9569e+02 3.2660e+02 -7.4619e+00 -2.4545e+03 2.0425e+03 1.6932e+02 -1.3899e+04 1.7974e+04 -9.8529e+02 1.9701e+03 8.0267e+02 8.7998e+02 1.9983e+01 5.4015e+01 1.1725e+02 1.7126e+02 6.2669e-01 1.2521e+01 8.8647e+00 1.1225e+01 2.9583e+02 3.2663e+02 -7.4585e+00 -2.4373e+03 2.0319e+03 1.7039e+02 -1.3969e+04 1.8096e+04 -9.7650e+02 1.9620e+03 8.0312e+02 8.7991e+02 1.9979e+01 5.3414e+01 1.1859e+02 1.7201e+02 6.2679e-01 1.2521e+01 8.8690e+00 1.1220e+01 2.9598e+02 3.2667e+02 -7.4553e+00 -2.4208e+03 2.0220e+03 1.7150e+02 -1.4042e+04 1.8221e+04 -9.6791e+02 1.9541e+03 8.0356e+02 8.7984e+02 1.9976e+01 5.2813e+01 1.1998e+02 1.7279e+02 6.2688e-01 1.2521e+01 8.8730e+00 1.1215e+01 2.9612e+02 3.2671e+02 -7.4525e+00 -2.4048e+03 2.0128e+03 1.7264e+02 -1.4120e+04 1.8351e+04 -9.5906e+02 1.9463e+03 8.0399e+02 8.7978e+02 1.9973e+01 5.2272e+01 1.2125e+02 1.7353e+02 6.2695e-01 1.2521e+01 8.8762e+00 1.1211e+01 2.9625e+02 3.2676e+02 -7.4502e+00 -2.3911e+03 2.0052e+03 1.7370e+02 -1.4193e+04 1.8470e+04 -9.5109e+02 1.9393e+03 8.0436e+02 8.7974e+02 1.9971e+01 5.1731e+01 1.2256e+02 1.7429e+02 6.2701e-01 1.2521e+01 8.8790e+00 1.1208e+01 2.9638e+02 3.2681e+02 -7.4481e+00 -2.3779e+03 1.9983e+03 1.7480e+02 -1.4270e+04 1.8593e+04 -9.4322e+02 1.9325e+03 8.0472e+02 8.7971e+02 1.9969e+01 5.1190e+01 1.2391e+02 1.7510e+02 6.2707e-01 1.2521e+01 8.8815e+00 1.1205e+01 2.9650e+02 3.2688e+02 -7.4464e+00 -2.3653e+03 1.9921e+03 1.7593e+02 -1.4351e+04 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2.2944e+02 6.2123e-01 1.2521e+01 8.6484e+00 1.1490e+01 2.9885e+02 3.3487e+02 -7.6339e+00 -2.5160e+03 2.3614e+03 2.3738e+02 -2.0134e+04 2.5450e+04 -1.2481e+03 1.9319e+03 8.0455e+02 8.9650e+02 2.0155e+01 3.4219e+01 1.9629e+02 2.3051e+02 6.2103e-01 1.2521e+01 8.6413e+00 1.1499e+01 2.9885e+02 3.3505e+02 -7.6407e+00 -2.5265e+03 2.3724e+03 2.3843e+02 -2.0249e+04 2.5567e+04 -1.2636e+03 1.9369e+03 8.0436e+02 8.9694e+02 2.0161e+01 3.4050e+01 1.9756e+02 2.3161e+02 6.2081e-01 1.2521e+01 8.6340e+00 1.1508e+01 2.9885e+02 3.3523e+02 -7.6476e+00 -2.5374e+03 2.3838e+03 2.3950e+02 -2.0366e+04 2.5686e+04 -1.2796e+03 1.9422e+03 8.0417e+02 8.9738e+02 2.0168e+01 4.8274e+01 1.3178e+02 1.8005e+02 6.2721e-01 1.2521e+01 8.8877e+00 1.1197e+01 2.9714e+02 3.2734e+02 -7.4418e+00 -2.3100e+03 1.9718e+03 1.8263e+02 -1.4857e+04 1.9462e+04 -8.9610e+02 1.8931e+03 8.0669e+02 8.7984e+02 1.9963e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.8274e+01 )