| 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 | 80.0000 | ° |
| 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 = 3.309838e+01 ; Vswe = 1.907253e+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] 8.7973e+01 7.0378e+01 1.5835e+02 6.0087e-01 1.2521e+01 8.0427e+00 1.2268e+01 2.8222e+02 3.3505e+02 -8.3168e+00 -4.6082e+03 3.7244e+03 1.0341e+02 -9.6578e+03 1.1262e+04 -1.8061e+03 2.0821e+03 7.5086e+02 8.8528e+02 2.0838e+01 8.6875e+01 7.1111e+01 1.5799e+02 6.0167e-01 1.2521e+01 8.0587e+00 1.2246e+01 2.8250e+02 3.3489e+02 -8.2893e+00 -4.5584e+03 3.6889e+03 1.0342e+02 -9.6058e+03 1.1332e+04 -1.7864e+03 2.0707e+03 7.5199e+02 8.8517e+02 2.0810e+01 8.5778e+01 7.1866e+01 1.5764e+02 6.0245e-01 1.2521e+01 8.0747e+00 1.2224e+01 2.8278e+02 3.3473e+02 -8.2623e+00 -4.5091e+03 3.6536e+03 1.0347e+02 -9.5555e+03 1.1404e+04 -1.7665e+03 2.0595e+03 7.5312e+02 8.8506e+02 2.0783e+01 8.4680e+01 7.2644e+01 1.5732e+02 6.0322e-01 1.2521e+01 8.0906e+00 1.2203e+01 2.8306e+02 3.3458e+02 -8.2359e+00 -4.4602e+03 3.6185e+03 1.0357e+02 -9.5071e+03 1.1479e+04 -1.7468e+03 2.0484e+03 7.5425e+02 8.8495e+02 2.0757e+01 8.3583e+01 7.3446e+01 1.5703e+02 6.0397e-01 1.2521e+01 8.1064e+00 1.2181e+01 2.8333e+02 3.3443e+02 -8.2099e+00 -4.4116e+03 3.5836e+03 1.0372e+02 -9.4606e+03 1.1556e+04 -1.7267e+03 2.0374e+03 7.5538e+02 8.8485e+02 2.0731e+01 8.2485e+01 7.4273e+01 1.5676e+02 6.0471e-01 1.2521e+01 8.1222e+00 1.2160e+01 2.8361e+02 3.3428e+02 -8.1845e+00 -4.3636e+03 3.5490e+03 1.0393e+02 -9.4162e+03 1.1637e+04 -1.7067e+03 2.0265e+03 7.5651e+02 8.8475e+02 2.0705e+01 8.1388e+01 7.5125e+01 1.5651e+02 6.0544e-01 1.2521e+01 8.1379e+00 1.2139e+01 2.8389e+02 3.3414e+02 -8.1596e+00 -4.3159e+03 3.5146e+03 1.0418e+02 -9.3740e+03 1.1720e+04 -1.6864e+03 2.0156e+03 7.5764e+02 8.8465e+02 2.0680e+01 8.0290e+01 7.6005e+01 1.5630e+02 6.0616e-01 1.2521e+01 8.1535e+00 1.2118e+01 2.8417e+02 3.3400e+02 -8.1352e+00 -4.2687e+03 3.4805e+03 1.0449e+02 -9.3341e+03 1.1807e+04 -1.6663e+03 2.0049e+03 7.5877e+02 8.8456e+02 2.0656e+01 7.9193e+01 7.6913e+01 1.5611e+02 6.0686e-01 1.2521e+01 8.1690e+00 1.2097e+01 2.8445e+02 3.3386e+02 -8.1114e+00 -4.2220e+03 3.4466e+03 1.0485e+02 -9.2966e+03 1.1897e+04 -1.6460e+03 1.9943e+03 7.5989e+02 8.8447e+02 2.0632e+01 7.8095e+01 7.7851e+01 1.5595e+02 6.0754e-01 1.2521e+01 8.1844e+00 1.2076e+01 2.8473e+02 3.3373e+02 -8.0881e+00 -4.1758e+03 3.4131e+03 1.0527e+02 -9.2617e+03 1.1990e+04 -1.6257e+03 1.9838e+03 7.6102e+02 8.8438e+02 2.0609e+01 7.6998e+01 7.8820e+01 1.5582e+02 6.0821e-01 1.2521e+01 8.1996e+00 1.2056e+01 2.8501e+02 3.3361e+02 -8.0654e+00 -4.1302e+03 3.3800e+03 1.0575e+02 -9.2295e+03 1.2087e+04 -1.6053e+03 1.9733e+03 7.6214e+02 8.8430e+02 2.0586e+01 7.5900e+01 7.9821e+01 1.5572e+02 6.0887e-01 1.2521e+01 8.2147e+00 1.2036e+01 2.8529e+02 3.3348e+02 -8.0432e+00 -4.0850e+03 3.3471e+03 1.0628e+02 -9.2002e+03 1.2188e+04 -1.5851e+03 1.9630e+03 7.6326e+02 8.8423e+02 2.0564e+01 7.4803e+01 8.0856e+01 1.5566e+02 6.0951e-01 1.2521e+01 8.2297e+00 1.2016e+01 2.8556e+02 3.3337e+02 -8.0216e+00 -4.0405e+03 3.3147e+03 1.0688e+02 -9.1739e+03 1.2293e+04 -1.5649e+03 1.9529e+03 7.6437e+02 8.8416e+02 2.0542e+01 7.3705e+01 8.1927e+01 1.5563e+02 6.1014e-01 1.2521e+01 8.2445e+00 1.1996e+01 2.8584e+02 3.3326e+02 -8.0006e+00 -3.9965e+03 3.2826e+03 1.0754e+02 -9.1509e+03 1.2401e+04 -1.5450e+03 1.9428e+03 7.6549e+02 8.8410e+02 2.0521e+01 7.2608e+01 8.3035e+01 1.5564e+02 6.1074e-01 1.2521e+01 8.2592e+00 1.1977e+01 2.8612e+02 3.3315e+02 -7.9801e+00 -3.9531e+03 3.2510e+03 1.0826e+02 -9.1314e+03 1.2514e+04 -1.5253e+03 1.9329e+03 7.6659e+02 8.8404e+02 2.0501e+01 7.1510e+01 8.4183e+01 1.5569e+02 6.1134e-01 1.2521e+01 8.2736e+00 1.1958e+01 2.8640e+02 3.3305e+02 -7.9602e+00 -3.9104e+03 3.2199e+03 1.0905e+02 -9.1157e+03 1.2631e+04 -1.5058e+03 1.9231e+03 7.6769e+02 8.8399e+02 2.0481e+01 7.0413e+01 8.5372e+01 1.5578e+02 6.1192e-01 1.2521e+01 8.2878e+00 1.1939e+01 2.8667e+02 3.3296e+02 -7.9409e+00 -3.8685e+03 3.1892e+03 1.0990e+02 -9.1039e+03 1.2753e+04 -1.4865e+03 1.9134e+03 7.6879e+02 8.8396e+02 2.0462e+01 6.9315e+01 8.6604e+01 1.5592e+02 6.1248e-01 1.2521e+01 8.3018e+00 1.1921e+01 2.8695e+02 3.3288e+02 -7.9221e+00 -3.8275e+03 3.1591e+03 1.1081e+02 -9.0964e+03 1.2880e+04 -1.4675e+03 1.9039e+03 7.6988e+02 8.8393e+02 2.0443e+01 6.8218e+01 8.7883e+01 1.5610e+02 6.1302e-01 1.2521e+01 8.3155e+00 1.1903e+01 2.8722e+02 3.3280e+02 -7.9040e+00 -3.7871e+03 3.1295e+03 1.1180e+02 -9.0935e+03 1.3012e+04 -1.4489e+03 1.8945e+03 7.7096e+02 8.8391e+02 2.0425e+01 6.7120e+01 8.9210e+01 1.5633e+02 6.1354e-01 1.2521e+01 8.3290e+00 1.1885e+01 2.8749e+02 3.3273e+02 -7.8866e+00 -3.7476e+03 3.1006e+03 1.1286e+02 -9.0956e+03 1.3150e+04 -1.4305e+03 1.8853e+03 7.7204e+02 8.8390e+02 2.0407e+01 6.6133e+01 9.0448e+01 1.5658e+02 6.1400e-01 1.2521e+01 8.3408e+00 1.1870e+01 2.8774e+02 3.3268e+02 -7.8714e+00 -3.7127e+03 3.0751e+03 1.1387e+02 -9.1021e+03 1.3279e+04 -1.4143e+03 1.8772e+03 7.7299e+02 8.8390e+02 2.0392e+01 6.5145e+01 9.1729e+01 1.5687e+02 6.1444e-01 1.2521e+01 8.3524e+00 1.1855e+01 2.8798e+02 3.3263e+02 -7.8567e+00 -3.6785e+03 3.0502e+03 1.1494e+02 -9.1133e+03 1.3412e+04 -1.3985e+03 1.8692e+03 7.7395e+02 8.8392e+02 2.0378e+01 6.4157e+01 9.3057e+01 1.5721e+02 6.1487e-01 1.2521e+01 8.3637e+00 1.1840e+01 2.8823e+02 3.3259e+02 -7.8426e+00 -3.6451e+03 3.0259e+03 1.1608e+02 -9.1295e+03 1.3550e+04 -1.3830e+03 1.8614e+03 7.7489e+02 8.8395e+02 2.0363e+01 6.3268e+01 9.4292e+01 1.5756e+02 6.1524e-01 1.2521e+01 8.3736e+00 1.1827e+01 2.8844e+02 3.3257e+02 -7.8304e+00 -3.6156e+03 3.0046e+03 1.1715e+02 -9.1489e+03 1.3679e+04 -1.3694e+03 1.8545e+03 7.7573e+02 8.8399e+02 2.0351e+01 6.2379e+01 9.5569e+01 1.5795e+02 6.1559e-01 1.2521e+01 8.3832e+00 1.1815e+01 2.8866e+02 3.3255e+02 -7.8186e+00 -3.5868e+03 2.9839e+03 1.1828e+02 -9.1731e+03 1.3813e+04 -1.3562e+03 1.8478e+03 7.7656e+02 8.8403e+02 2.0339e+01 6.1490e+01 9.6889e+01 1.5838e+02 6.1594e-01 1.2521e+01 8.3925e+00 1.1803e+01 2.8888e+02 3.3254e+02 -7.8073e+00 -3.5587e+03 2.9637e+03 1.1946e+02 -9.2025e+03 1.3951e+04 -1.3434e+03 1.8412e+03 7.7738e+02 8.8410e+02 2.0328e+01 6.0690e+01 9.8115e+01 1.5881e+02 6.1623e-01 1.2521e+01 8.4006e+00 1.1792e+01 2.8907e+02 3.3253e+02 -7.7975e+00 -3.5340e+03 2.9462e+03 1.2058e+02 -9.2337e+03 1.4080e+04 -1.3322e+03 1.8354e+03 7.7811e+02 8.8417e+02 2.0318e+01 5.9890e+01 9.9379e+01 1.5927e+02 6.1652e-01 1.2521e+01 8.4085e+00 1.1782e+01 2.8926e+02 3.3254e+02 -7.7882e+00 -3.5100e+03 2.9291e+03 1.2174e+02 -9.2700e+03 1.4213e+04 -1.3214e+03 1.8298e+03 7.7883e+02 8.8425e+02 2.0309e+01 5.9090e+01 1.0068e+02 1.5977e+02 6.1679e-01 1.2521e+01 8.4161e+00 1.1772e+01 2.8945e+02 3.3255e+02 -7.7792e+00 -3.4865e+03 2.9127e+03 1.2295e+02 -9.3116e+03 1.4350e+04 -1.3110e+03 1.8243e+03 7.7954e+02 8.8435e+02 2.0300e+01 5.8290e+01 1.0203e+02 1.6032e+02 6.1705e-01 1.2521e+01 8.4234e+00 1.1763e+01 2.8964e+02 3.3256e+02 -7.7707e+00 -3.4637e+03 2.8968e+03 1.2421e+02 -9.3590e+03 1.4492e+04 -1.3010e+03 1.8190e+03 7.8025e+02 8.8446e+02 2.0292e+01 5.7570e+01 1.0328e+02 1.6085e+02 6.1727e-01 1.2521e+01 8.4297e+00 1.1754e+01 2.8981e+02 3.3259e+02 -7.7634e+00 -3.4439e+03 2.8831e+03 1.2538e+02 -9.4071e+03 1.4623e+04 -1.2924e+03 1.8144e+03 7.8087e+02 8.8457e+02 2.0284e+01 5.6850e+01 1.0457e+02 1.6142e+02 6.1748e-01 1.2521e+01 8.4357e+00 1.1747e+01 2.8998e+02 3.3262e+02 -7.7565e+00 -3.4245e+03 2.8699e+03 1.2660e+02 -9.4607e+03 1.4759e+04 -1.2843e+03 1.8099e+03 7.8148e+02 8.8470e+02 2.0277e+01 5.6130e+01 1.0589e+02 1.6202e+02 6.1768e-01 1.2521e+01 8.4414e+00 1.1739e+01 2.9014e+02 3.3266e+02 -7.7499e+00 -3.4059e+03 2.8573e+03 1.2787e+02 -9.5203e+03 1.4899e+04 -1.2766e+03 1.8056e+03 7.8209e+02 8.8485e+02 2.0271e+01 5.5482e+01 1.0712e+02 1.6260e+02 6.1785e-01 1.2521e+01 8.4463e+00 1.1733e+01 2.9029e+02 3.3270e+02 -7.7444e+00 -3.3896e+03 2.8465e+03 1.2905e+02 -9.5796e+03 1.5028e+04 -1.2701e+03 1.8019e+03 7.8262e+02 8.8500e+02 2.0265e+01 5.4834e+01 1.0838e+02 1.6322e+02 6.1801e-01 1.2521e+01 8.4510e+00 1.1727e+01 2.9044e+02 3.3275e+02 -7.7391e+00 -3.3739e+03 2.8362e+03 1.3027e+02 -9.6445e+03 1.5161e+04 -1.2639e+03 1.7983e+03 7.8315e+02 8.8516e+02 2.0260e+01 5.4186e+01 1.0968e+02 1.6387e+02 6.1816e-01 1.2521e+01 8.4553e+00 1.1721e+01 2.9059e+02 3.3280e+02 -7.7342e+00 -3.3587e+03 2.8265e+03 1.3152e+02 -9.7155e+03 1.5298e+04 -1.2583e+03 1.7949e+03 7.8366e+02 8.8534e+02 2.0255e+01 5.3538e+01 1.1102e+02 1.6455e+02 6.1830e-01 1.2521e+01 8.4594e+00 1.1716e+01 2.9073e+02 3.3286e+02 -7.7297e+00 -3.3441e+03 2.8173e+03 1.3282e+02 -9.7930e+03 1.5439e+04 -1.2531e+03 1.7917e+03 7.8417e+02 8.8553e+02 2.0250e+01 5.2954e+01 1.1225e+02 1.6521e+02 6.1841e-01 1.2521e+01 8.4628e+00 1.1712e+01 2.9086e+02 3.3292e+02 -7.7259e+00 -3.3316e+03 2.8095e+03 1.3403e+02 -9.8687e+03 1.5569e+04 -1.2489e+03 1.7889e+03 7.8462e+02 8.8572e+02 2.0247e+01 5.2371e+01 1.1352e+02 1.6589e+02 6.1852e-01 1.2521e+01 8.4660e+00 1.1708e+01 2.9099e+02 3.3299e+02 -7.7224e+00 -3.3195e+03 2.8023e+03 1.3527e+02 -9.9504e+03 1.5703e+04 -1.2451e+03 1.7863e+03 7.8505e+02 8.8593e+02 2.0243e+01 5.1788e+01 1.1482e+02 1.6661e+02 6.1862e-01 1.2521e+01 8.4689e+00 1.1704e+01 2.9112e+02 3.3307e+02 -7.7192e+00 -3.3080e+03 2.7956e+03 1.3654e+02 -1.0038e+04 1.5840e+04 -1.2417e+03 1.7839e+03 7.8548e+02 8.8616e+02 2.0240e+01 5.1205e+01 1.1616e+02 1.6737e+02 6.1870e-01 1.2521e+01 8.4715e+00 1.1701e+01 2.9124e+02 3.3315e+02 -7.7164e+00 -3.2970e+03 2.7894e+03 1.3786e+02 -1.0133e+04 1.5981e+04 -1.2389e+03 1.7816e+03 7.8590e+02 8.8640e+02 2.0237e+01 5.0680e+01 1.1740e+02 1.6808e+02 6.1877e-01 1.2521e+01 8.4736e+00 1.1698e+01 2.9136e+02 3.3323e+02 -7.7141e+00 -3.2876e+03 2.7844e+03 1.3907e+02 -1.0224e+04 1.6112e+04 -1.2368e+03 1.7798e+03 7.8627e+02 8.8664e+02 2.0235e+01 5.0155e+01 1.1866e+02 1.6882e+02 6.1883e-01 1.2521e+01 8.4754e+00 1.1696e+01 2.9147e+02 3.3332e+02 -7.7121e+00 -3.2788e+03 2.7798e+03 1.4032e+02 -1.0320e+04 1.6245e+04 -1.2351e+03 1.7781e+03 7.8663e+02 8.8689e+02 2.0233e+01 4.9630e+01 1.1996e+02 1.6959e+02 6.1889e-01 1.2521e+01 8.4770e+00 1.1694e+01 2.9158e+02 3.3341e+02 -7.7103e+00 -3.2704e+03 2.7758e+03 1.4160e+02 -1.0423e+04 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2.2235e+02 6.1245e-01 1.2521e+01 8.3067e+00 1.1914e+01 2.9416e+02 3.4188e+02 -7.9228e+00 -3.4465e+03 3.0933e+03 2.0772e+02 -1.7475e+04 2.3489e+04 -1.7209e+03 1.9404e+03 7.8957e+02 9.0772e+02 2.0444e+01 3.3164e+01 1.9024e+02 2.2340e+02 6.1223e-01 1.2521e+01 8.3013e+00 1.1921e+01 2.9417e+02 3.4206e+02 -7.9302e+00 -3.4557e+03 3.1041e+03 2.0882e+02 -1.7605e+04 2.3611e+04 -1.7365e+03 1.9467e+03 7.8945e+02 9.0810e+02 2.0451e+01 3.2999e+01 1.9147e+02 2.2447e+02 6.1201e-01 1.2521e+01 8.2957e+00 1.1928e+01 2.9418e+02 3.4224e+02 -7.9379e+00 -3.4653e+03 3.1152e+03 2.0993e+02 -1.7736e+04 2.3734e+04 -1.7525e+03 1.9533e+03 7.8933e+02 9.0848e+02 2.0459e+01 4.7122e+01 1.2666e+02 1.7379e+02 6.1901e-01 1.2521e+01 8.4808e+00 1.1689e+01 2.9209e+02 3.3395e+02 -7.7065e+00 -3.2381e+03 2.7642e+03 1.4823e+02 -1.0995e+04 1.7086e+04 -1.2359e+03 1.7721e+03 7.8850e+02 8.8870e+02 2.0227e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.7122e+01 )