| 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 | 70.0000 | ° |
| 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 = 3.416130e+01 ; Vswe = 1.968503e+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] 9.0781e+01 7.2625e+01 1.6341e+02 5.9635e-01 1.2521e+01 7.9164e+00 1.2440e+01 2.8032e+02 3.3672e+02 -8.4749e+00 -4.9502e+03 3.9957e+03 9.4155e+01 -9.0146e+03 1.0864e+04 -1.8761e+03 1.9978e+03 7.4549e+02 8.8673e+02 2.0996e+01 8.9649e+01 7.3369e+01 1.6302e+02 5.9721e-01 1.2521e+01 7.9321e+00 1.2418e+01 2.8059e+02 3.3656e+02 -8.4448e+00 -4.8994e+03 3.9602e+03 9.4135e+01 -8.9531e+03 1.0939e+04 -1.8561e+03 1.9801e+03 7.4663e+02 8.8668e+02 2.0966e+01 8.8516e+01 7.4136e+01 1.6265e+02 5.9805e-01 1.2521e+01 7.9477e+00 1.2396e+01 2.8087e+02 3.3641e+02 -8.4153e+00 -4.8490e+03 3.9249e+03 9.4173e+01 -8.8933e+03 1.1016e+04 -1.8361e+03 1.9624e+03 7.4777e+02 8.8663e+02 2.0936e+01 8.7384e+01 7.4926e+01 1.6231e+02 5.9888e-01 1.2521e+01 7.9632e+00 1.2375e+01 2.8115e+02 3.3626e+02 -8.3863e+00 -4.7992e+03 3.8898e+03 9.4271e+01 -8.8352e+03 1.1096e+04 -1.8163e+03 1.9449e+03 7.4890e+02 8.8659e+02 2.0907e+01 8.6252e+01 7.5741e+01 1.6199e+02 5.9969e-01 1.2521e+01 7.9787e+00 1.2353e+01 2.8142e+02 3.3611e+02 -8.3579e+00 -4.7499e+03 3.8550e+03 9.4432e+01 -8.7790e+03 1.1179e+04 -1.7965e+03 1.9307e+03 7.5004e+02 8.8655e+02 2.0879e+01 8.5119e+01 7.6582e+01 1.6170e+02 6.0049e-01 1.2521e+01 7.9941e+00 1.2332e+01 2.8170e+02 3.3597e+02 -8.3301e+00 -4.7010e+03 3.8205e+03 9.4659e+01 -8.7247e+03 1.1265e+04 -1.7769e+03 1.9215e+03 7.5118e+02 8.8651e+02 2.0851e+01 8.3987e+01 7.7449e+01 1.6144e+02 6.0128e-01 1.2521e+01 8.0094e+00 1.2311e+01 2.8197e+02 3.3583e+02 -8.3029e+00 -4.6527e+03 3.7862e+03 9.4952e+01 -8.6725e+03 1.1354e+04 -1.7575e+03 1.9124e+03 7.5231e+02 8.8648e+02 2.0824e+01 8.2854e+01 7.8344e+01 1.6120e+02 6.0205e-01 1.2521e+01 8.0246e+00 1.2290e+01 2.8225e+02 3.3569e+02 -8.2762e+00 -4.6048e+03 3.7523e+03 9.5313e+01 -8.6224e+03 1.1446e+04 -1.7382e+03 1.9034e+03 7.5345e+02 8.8646e+02 2.0797e+01 8.1722e+01 7.9268e+01 1.6099e+02 6.0280e-01 1.2521e+01 8.0397e+00 1.2269e+01 2.8253e+02 3.3556e+02 -8.2501e+00 -4.5575e+03 3.7186e+03 9.5743e+01 -8.5747e+03 1.1541e+04 -1.7191e+03 1.8946e+03 7.5458e+02 8.8644e+02 2.0771e+01 8.0590e+01 8.0222e+01 1.6081e+02 6.0355e-01 1.2521e+01 8.0547e+00 1.2249e+01 2.8280e+02 3.3543e+02 -8.2246e+00 -4.5108e+03 3.6853e+03 9.6241e+01 -8.5294e+03 1.1640e+04 -1.7002e+03 1.8859e+03 7.5570e+02 8.8643e+02 2.0745e+01 7.9457e+01 8.1209e+01 1.6067e+02 6.0427e-01 1.2521e+01 8.0696e+00 1.2228e+01 2.8308e+02 3.3531e+02 -8.1997e+00 -4.4646e+03 3.6523e+03 9.6807e+01 -8.4867e+03 1.1743e+04 -1.6814e+03 1.8773e+03 7.5683e+02 8.8642e+02 2.0720e+01 7.8325e+01 8.2228e+01 1.6055e+02 6.0498e-01 1.2521e+01 8.0843e+00 1.2208e+01 2.8335e+02 3.3519e+02 -8.1754e+00 -4.4190e+03 3.6197e+03 9.7442e+01 -8.4467e+03 1.1850e+04 -1.6629e+03 1.8689e+03 7.5795e+02 8.8643e+02 2.0696e+01 7.7192e+01 8.3283e+01 1.6048e+02 6.0567e-01 1.2521e+01 8.0988e+00 1.2189e+01 2.8362e+02 3.3508e+02 -8.1517e+00 -4.3740e+03 3.5875e+03 9.8146e+01 -8.4097e+03 1.1961e+04 -1.6446e+03 1.8606e+03 7.5907e+02 8.8644e+02 2.0673e+01 7.6060e+01 8.4375e+01 1.6043e+02 6.0635e-01 1.2521e+01 8.1132e+00 1.2169e+01 2.8390e+02 3.3498e+02 -8.1286e+00 -4.3296e+03 3.5558e+03 9.8917e+01 -8.3758e+03 1.2076e+04 -1.6266e+03 1.8525e+03 7.6018e+02 8.8646e+02 2.0649e+01 7.4928e+01 8.5505e+01 1.6043e+02 6.0701e-01 1.2521e+01 8.1274e+00 1.2150e+01 2.8417e+02 3.3487e+02 -8.1062e+00 -4.2859e+03 3.5245e+03 9.9757e+01 -8.3453e+03 1.2195e+04 -1.6089e+03 1.8446e+03 7.6129e+02 8.8649e+02 2.0627e+01 7.3795e+01 8.6675e+01 1.6047e+02 6.0765e-01 1.2521e+01 8.1414e+00 1.2131e+01 2.8444e+02 3.3478e+02 -8.0844e+00 -4.2429e+03 3.4937e+03 1.0067e+02 -8.3183e+03 1.2319e+04 -1.5915e+03 1.8369e+03 7.6239e+02 8.8653e+02 2.0605e+01 7.2663e+01 8.7888e+01 1.6055e+02 6.0828e-01 1.2521e+01 8.1552e+00 1.2113e+01 2.8472e+02 3.3469e+02 -8.0632e+00 -4.2006e+03 3.4634e+03 1.0164e+02 -8.2953e+03 1.2448e+04 -1.5744e+03 1.8293e+03 7.6349e+02 8.8658e+02 2.0584e+01 7.1530e+01 8.9146e+01 1.6068e+02 6.0889e-01 1.2521e+01 8.1688e+00 1.2094e+01 2.8499e+02 3.3461e+02 -8.0427e+00 -4.1590e+03 3.4336e+03 1.0269e+02 -8.2764e+03 1.2582e+04 -1.5576e+03 1.8219e+03 7.6458e+02 8.8664e+02 2.0563e+01 7.0398e+01 9.0452e+01 1.6085e+02 6.0947e-01 1.2521e+01 8.1821e+00 1.2077e+01 2.8526e+02 3.3454e+02 -8.0228e+00 -4.1183e+03 3.4045e+03 1.0381e+02 -8.2621e+03 1.2721e+04 -1.5413e+03 1.8147e+03 7.6566e+02 8.8672e+02 2.0544e+01 6.9266e+01 9.1807e+01 1.6107e+02 6.1004e-01 1.2521e+01 8.1951e+00 1.2059e+01 2.8553e+02 3.3448e+02 -8.0037e+00 -4.0783e+03 3.3760e+03 1.0501e+02 -8.2527e+03 1.2866e+04 -1.5254e+03 1.8078e+03 7.6673e+02 8.8682e+02 2.0524e+01 6.8133e+01 9.3215e+01 1.6135e+02 6.1059e-01 1.2521e+01 8.2078e+00 1.2042e+01 2.8579e+02 3.3442e+02 -7.9852e+00 -4.0393e+03 3.3481e+03 1.0627e+02 -8.2487e+03 1.3017e+04 -1.5100e+03 1.8011e+03 7.6780e+02 8.8693e+02 2.0506e+01 6.7114e+01 9.4529e+01 1.6164e+02 6.1107e-01 1.2521e+01 8.2190e+00 1.2027e+01 2.8603e+02 3.3438e+02 -7.9692e+00 -4.0049e+03 3.3237e+03 1.0748e+02 -8.2501e+03 1.3158e+04 -1.4966e+03 1.7952e+03 7.6874e+02 8.8705e+02 2.0490e+01 6.6095e+01 9.5892e+01 1.6199e+02 6.1153e-01 1.2521e+01 8.2299e+00 1.2013e+01 2.8627e+02 3.3435e+02 -7.9538e+00 -3.9713e+03 3.2999e+03 1.0875e+02 -8.2567e+03 1.3304e+04 -1.4836e+03 1.7895e+03 7.6968e+02 8.8718e+02 2.0475e+01 6.5178e+01 9.7160e+01 1.6234e+02 6.1193e-01 1.2521e+01 8.2394e+00 1.2000e+01 2.8649e+02 3.3433e+02 -7.9404e+00 -3.9418e+03 3.2790e+03 1.0995e+02 -8.2675e+03 1.3440e+04 -1.4723e+03 1.7847e+03 7.7052e+02 8.8732e+02 2.0461e+01 6.4260e+01 9.8472e+01 1.6273e+02 6.1231e-01 1.2521e+01 8.2487e+00 1.1988e+01 2.8670e+02 3.3431e+02 -7.9275e+00 -3.9129e+03 3.2587e+03 1.1120e+02 -8.2834e+03 1.3581e+04 -1.4615e+03 1.7799e+03 7.7135e+02 8.8747e+02 2.0448e+01 6.3343e+01 9.9827e+01 1.6317e+02 6.1268e-01 1.2521e+01 8.2577e+00 1.1976e+01 2.8691e+02 3.3430e+02 -7.9152e+00 -3.8848e+03 3.2391e+03 1.1251e+02 -8.3049e+03 1.3728e+04 -1.4512e+03 1.7754e+03 7.7216e+02 8.8764e+02 2.0436e+01 6.2426e+01 1.0123e+02 1.6366e+02 6.1304e-01 1.2521e+01 8.2663e+00 1.1965e+01 2.8712e+02 3.3431e+02 -7.9034e+00 -3.8574e+03 3.2200e+03 1.1388e+02 -8.3325e+03 1.3879e+04 -1.4414e+03 1.7711e+03 7.7297e+02 8.8783e+02 2.0424e+01 6.1600e+01 1.0253e+02 1.6414e+02 6.1334e-01 1.2521e+01 8.2739e+00 1.1955e+01 2.8731e+02 3.3431e+02 -7.8932e+00 -3.8334e+03 3.2035e+03 1.1516e+02 -8.3632e+03 1.4019e+04 -1.4330e+03 1.7675e+03 7.7369e+02 8.8801e+02 2.0414e+01 6.0775e+01 1.0388e+02 1.6466e+02 6.1363e-01 1.2521e+01 8.2811e+00 1.1945e+01 2.8749e+02 3.3433e+02 -7.8835e+00 -3.8101e+03 3.1875e+03 1.1649e+02 -8.4001e+03 1.4165e+04 -1.4251e+03 1.7640e+03 7.7440e+02 8.8822e+02 2.0404e+01 5.9949e+01 1.0527e+02 1.6522e+02 6.1391e-01 1.2521e+01 8.2881e+00 1.1936e+01 2.8768e+02 3.3435e+02 -7.8743e+00 -3.7875e+03 3.1722e+03 1.1788e+02 -8.4440e+03 1.4315e+04 -1.4178e+03 1.7607e+03 7.7509e+02 8.8844e+02 2.0395e+01 5.9206e+01 1.0656e+02 1.6577e+02 6.1415e-01 1.2521e+01 8.2941e+00 1.1928e+01 2.8785e+02 3.3438e+02 -7.8664e+00 -3.7678e+03 3.1589e+03 1.1917e+02 -8.4901e+03 1.4454e+04 -1.4116e+03 1.7580e+03 7.7571e+02 8.8865e+02 2.0387e+01 5.8463e+01 1.0789e+02 1.6636e+02 6.1438e-01 1.2521e+01 8.2998e+00 1.1920e+01 2.8801e+02 3.3442e+02 -7.8589e+00 -3.7487e+03 3.1462e+03 1.2050e+02 -8.5434e+03 1.4598e+04 -1.4059e+03 1.7554e+03 7.7632e+02 8.8889e+02 2.0380e+01 5.7721e+01 1.0926e+02 1.6698e+02 6.1459e-01 1.2521e+01 8.3053e+00 1.1913e+01 2.8817e+02 3.3446e+02 -7.8518e+00 -3.7303e+03 3.1341e+03 1.2188e+02 -8.6047e+03 1.4746e+04 -1.4008e+03 1.7531e+03 7.7692e+02 8.8914e+02 2.0373e+01 5.7052e+01 1.1053e+02 1.6758e+02 6.1477e-01 1.2521e+01 8.3099e+00 1.1907e+01 2.8832e+02 3.3451e+02 -7.8458e+00 -3.7143e+03 3.1237e+03 1.2317e+02 -8.6677e+03 1.4883e+04 -1.3966e+03 1.7511e+03 7.7745e+02 8.8938e+02 2.0367e+01 5.6383e+01 1.1184e+02 1.6822e+02 6.1494e-01 1.2521e+01 8.3143e+00 1.1901e+01 2.8846e+02 3.3456e+02 -7.8402e+00 -3.6988e+03 3.1138e+03 1.2449e+02 -8.7392e+03 1.5024e+04 -1.3929e+03 1.7494e+03 7.7797e+02 8.8964e+02 2.0361e+01 5.5714e+01 1.1318e+02 1.6890e+02 6.1510e-01 1.2521e+01 8.3184e+00 1.1896e+01 2.8861e+02 3.3462e+02 -7.8349e+00 -3.6839e+03 3.1045e+03 1.2586e+02 -8.8201e+03 1.5169e+04 -1.3897e+03 1.7479e+03 7.7849e+02 8.8992e+02 2.0356e+01 5.5046e+01 1.1457e+02 1.6961e+02 6.1525e-01 1.2521e+01 8.3223e+00 1.1891e+01 2.8875e+02 3.3469e+02 -7.8300e+00 -3.6697e+03 3.0958e+03 1.2727e+02 -8.9113e+03 1.5318e+04 -1.3870e+03 1.7465e+03 7.7899e+02 8.9022e+02 2.0351e+01 5.4444e+01 1.1584e+02 1.7029e+02 6.1537e-01 1.2521e+01 8.3255e+00 1.1887e+01 2.8887e+02 3.3476e+02 -7.8259e+00 -3.6574e+03 3.0884e+03 1.2857e+02 -9.0030e+03 1.5456e+04 -1.3851e+03 1.7455e+03 7.7943e+02 8.9050e+02 2.0347e+01 5.3842e+01 1.1716e+02 1.7100e+02 6.1548e-01 1.2521e+01 8.3285e+00 1.1883e+01 2.8900e+02 3.3483e+02 -7.8222e+00 -3.6456e+03 3.0816e+03 1.2992e+02 -9.1040e+03 1.5597e+04 -1.3837e+03 1.7447e+03 7.7987e+02 8.9080e+02 2.0343e+01 5.3240e+01 1.1851e+02 1.7175e+02 6.1559e-01 1.2521e+01 8.3312e+00 1.1879e+01 2.8912e+02 3.3491e+02 -7.8188e+00 -3.6345e+03 3.0752e+03 1.3130e+02 -9.2143e+03 1.5743e+04 -1.3828e+03 1.7440e+03 7.8029e+02 8.9111e+02 2.0340e+01 5.2639e+01 1.1990e+02 1.7254e+02 6.1568e-01 1.2521e+01 8.3336e+00 1.1876e+01 2.8925e+02 3.3500e+02 -7.8158e+00 -3.6239e+03 3.0695e+03 1.3271e+02 -9.3339e+03 1.5892e+04 -1.3824e+03 1.7436e+03 7.8071e+02 8.9144e+02 2.0337e+01 5.2097e+01 1.2118e+02 1.7328e+02 6.1575e-01 1.2521e+01 8.3356e+00 1.1874e+01 2.8936e+02 3.3508e+02 -7.8134e+00 -3.6148e+03 3.0648e+03 1.3403e+02 -9.4485e+03 1.6030e+04 -1.3826e+03 1.7435e+03 7.8107e+02 8.9175e+02 2.0334e+01 5.1555e+01 1.2250e+02 1.7405e+02 6.1581e-01 1.2521e+01 8.3373e+00 1.1871e+01 2.8946e+02 3.3517e+02 -7.8113e+00 -3.6063e+03 3.0606e+03 1.3537e+02 -9.5664e+03 1.6171e+04 -1.3833e+03 1.7435e+03 7.8143e+02 8.9208e+02 2.0332e+01 5.1014e+01 1.2385e+02 1.7486e+02 6.1587e-01 1.2521e+01 8.3388e+00 1.1869e+01 2.8957e+02 3.3527e+02 -7.8096e+00 -3.5983e+03 3.0569e+03 1.3675e+02 -9.6870e+03 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2.2923e+02 6.0876e-01 1.2521e+01 8.1732e+00 1.2087e+01 2.9199e+02 3.4383e+02 -8.0470e+00 -3.7932e+03 3.3774e+03 2.0580e+02 -1.7607e+04 2.3722e+04 -1.9670e+03 1.9821e+03 7.8433e+02 9.1328e+02 2.0568e+01 3.4264e+01 1.9607e+02 2.3034e+02 6.0851e-01 1.2521e+01 8.1678e+00 1.2095e+01 2.9200e+02 3.4402e+02 -8.0554e+00 -3.8029e+03 3.3884e+03 2.0695e+02 -1.7747e+04 2.3851e+04 -1.9843e+03 1.9897e+03 7.8421e+02 9.1365e+02 2.0576e+01 3.4094e+01 1.9736e+02 2.3146e+02 6.0826e-01 1.2521e+01 8.1624e+00 1.2102e+01 2.9202e+02 3.4421e+02 -8.0640e+00 -3.8130e+03 3.3997e+03 2.0812e+02 -1.7890e+04 2.3982e+04 -2.0020e+03 1.9975e+03 7.8409e+02 9.1402e+02 2.0585e+01 4.8646e+01 1.3018e+02 1.7883e+02 6.1598e-01 1.2521e+01 8.3419e+00 1.1865e+01 2.9003e+02 3.3578e+02 -7.8060e+00 -3.5702e+03 3.0472e+03 1.4323e+02 -1.0318e+04 1.6995e+04 -1.3967e+03 1.7474e+03 7.8317e+02 8.9411e+02 2.0327e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.8646e+01 )