| 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 | 120.0000 | ° |
| 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 = 3.496027e+01 ; Vswe = 2.014542e+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] 9.2815e+01 7.4252e+01 1.6707e+02 6.0966e-01 1.2521e+01 8.3132e+00 1.1919e+01 2.8563e+02 3.3073e+02 -8.0165e+00 -3.9959e+03 3.1745e+03 1.5427e+02 -1.4127e+04 1.5095e+04 -1.5609e+03 2.5806e+03 7.6862e+02 8.9232e+02 2.0537e+01 9.1658e+01 7.5025e+01 1.6668e+02 6.1048e-01 1.2521e+01 8.3339e+00 1.1892e+01 2.8596e+02 3.3050e+02 -7.9888e+00 -3.9369e+03 3.1310e+03 1.5422e+02 -1.4087e+04 1.5136e+04 -1.5395e+03 2.5626e+03 7.6981e+02 8.9190e+02 2.0510e+01 9.0501e+01 7.5822e+01 1.6632e+02 6.1129e-01 1.2521e+01 8.3547e+00 1.1865e+01 2.8630e+02 3.3027e+02 -7.9617e+00 -3.8783e+03 3.0875e+03 1.5420e+02 -1.4050e+04 1.5181e+04 -1.5180e+03 2.5446e+03 7.7100e+02 8.9148e+02 2.0482e+01 8.9344e+01 7.6643e+01 1.6599e+02 6.1209e-01 1.2521e+01 8.3755e+00 1.1838e+01 2.8663e+02 3.3005e+02 -7.9351e+00 -3.8199e+03 3.0441e+03 1.5422e+02 -1.4014e+04 1.5229e+04 -1.4966e+03 2.5265e+03 7.7220e+02 8.9106e+02 2.0456e+01 8.8187e+01 7.7489e+01 1.6568e+02 6.1287e-01 1.2521e+01 8.3964e+00 1.1811e+01 2.8696e+02 3.2982e+02 -7.9091e+00 -3.7617e+03 3.0008e+03 1.5427e+02 -1.3981e+04 1.5280e+04 -1.4752e+03 2.5084e+03 7.7340e+02 8.9064e+02 2.0430e+01 8.7030e+01 7.8361e+01 1.6539e+02 6.1363e-01 1.2521e+01 8.4172e+00 1.1784e+01 2.8730e+02 3.2960e+02 -7.8836e+00 -3.7039e+03 2.9576e+03 1.5435e+02 -1.3950e+04 1.5334e+04 -1.4539e+03 2.4903e+03 7.7460e+02 8.9022e+02 2.0404e+01 8.5873e+01 7.9261e+01 1.6513e+02 6.1438e-01 1.2521e+01 8.4381e+00 1.1757e+01 2.8763e+02 3.2937e+02 -7.8587e+00 -3.6463e+03 2.9145e+03 1.5447e+02 -1.3922e+04 1.5391e+04 -1.4326e+03 2.4721e+03 7.7581e+02 8.8980e+02 2.0379e+01 8.4716e+01 8.0190e+01 1.6491e+02 6.1512e-01 1.2521e+01 8.4590e+00 1.1730e+01 2.8797e+02 3.2915e+02 -7.8343e+00 -3.5891e+03 2.8715e+03 1.5463e+02 -1.3896e+04 1.5452e+04 -1.4113e+03 2.4539e+03 7.7702e+02 8.8938e+02 2.0355e+01 8.3558e+01 8.1149e+01 1.6471e+02 6.1584e-01 1.2521e+01 8.4799e+00 1.1704e+01 2.8831e+02 3.2893e+02 -7.8105e+00 -3.5321e+03 2.8287e+03 1.5483e+02 -1.3873e+04 1.5516e+04 -1.3901e+03 2.4357e+03 7.7823e+02 8.8896e+02 2.0331e+01 8.2401e+01 8.2139e+01 1.6454e+02 6.1654e-01 1.2521e+01 8.5007e+00 1.1677e+01 2.8865e+02 3.2872e+02 -7.7873e+00 -3.4755e+03 2.7860e+03 1.5507e+02 -1.3853e+04 1.5584e+04 -1.3690e+03 2.4174e+03 7.7944e+02 8.8853e+02 2.0308e+01 8.1244e+01 8.3162e+01 1.6441e+02 6.1723e-01 1.2521e+01 8.5216e+00 1.1651e+01 2.8898e+02 3.2851e+02 -7.7646e+00 -3.4193e+03 2.7435e+03 1.5536e+02 -1.3836e+04 1.5656e+04 -1.3479e+03 2.3991e+03 7.8065e+02 8.8811e+02 2.0285e+01 8.0087e+01 8.4219e+01 1.6431e+02 6.1791e-01 1.2521e+01 8.5423e+00 1.1625e+01 2.8932e+02 3.2830e+02 -7.7425e+00 -3.3634e+03 2.7012e+03 1.5569e+02 -1.3822e+04 1.5731e+04 -1.3270e+03 2.3808e+03 7.8186e+02 8.8769e+02 2.0263e+01 7.8930e+01 8.5312e+01 1.6424e+02 6.1856e-01 1.2521e+01 8.5631e+00 1.1598e+01 2.8966e+02 3.2809e+02 -7.7209e+00 -3.3080e+03 2.6592e+03 1.5606e+02 -1.3812e+04 1.5811e+04 -1.3061e+03 2.3624e+03 7.8308e+02 8.8727e+02 2.0242e+01 7.7773e+01 8.6443e+01 1.6422e+02 6.1921e-01 1.2521e+01 8.5837e+00 1.1572e+01 2.9000e+02 3.2789e+02 -7.6999e+00 -3.2529e+03 2.6174e+03 1.5649e+02 -1.3805e+04 1.5895e+04 -1.2854e+03 2.3440e+03 7.8429e+02 8.8685e+02 2.0221e+01 7.6616e+01 8.7614e+01 1.6423e+02 6.1983e-01 1.2521e+01 8.6042e+00 1.1547e+01 2.9034e+02 3.2769e+02 -7.6796e+00 -3.1984e+03 2.5760e+03 1.5696e+02 -1.3801e+04 1.5983e+04 -1.2648e+03 2.3256e+03 7.8550e+02 8.8643e+02 2.0200e+01 7.5459e+01 8.8826e+01 1.6428e+02 6.2044e-01 1.2521e+01 8.6246e+00 1.1521e+01 2.9068e+02 3.2750e+02 -7.6598e+00 -3.1442e+03 2.5349e+03 1.5749e+02 -1.3802e+04 1.6077e+04 -1.2444e+03 2.3071e+03 7.8671e+02 8.8601e+02 2.0181e+01 7.4302e+01 9.0082e+01 1.6438e+02 6.2103e-01 1.2521e+01 8.6449e+00 1.1496e+01 2.9102e+02 3.2731e+02 -7.6406e+00 -3.0906e+03 2.4942e+03 1.5807e+02 -1.3806e+04 1.6174e+04 -1.2242e+03 2.2886e+03 7.8792e+02 8.8559e+02 2.0161e+01 7.3145e+01 9.1385e+01 1.6453e+02 6.2160e-01 1.2521e+01 8.6649e+00 1.1471e+01 2.9136e+02 3.2713e+02 -7.6220e+00 -3.0376e+03 2.4539e+03 1.5871e+02 -1.3815e+04 1.6277e+04 -1.2042e+03 2.2701e+03 7.8912e+02 8.8518e+02 2.0143e+01 7.1987e+01 9.2735e+01 1.6472e+02 6.2216e-01 1.2521e+01 8.6848e+00 1.1447e+01 2.9170e+02 3.2695e+02 -7.6040e+00 -2.9851e+03 2.4142e+03 1.5941e+02 -1.3828e+04 1.6386e+04 -1.1844e+03 2.2515e+03 7.9031e+02 8.8476e+02 2.0125e+01 7.0830e+01 9.4137e+01 1.6497e+02 6.2269e-01 1.2521e+01 8.7044e+00 1.1422e+01 2.9203e+02 3.2678e+02 -7.5867e+00 -2.9332e+03 2.3749e+03 1.6017e+02 -1.3847e+04 1.6500e+04 -1.1649e+03 2.2329e+03 7.9150e+02 8.8436e+02 2.0107e+01 6.9789e+01 9.5445e+01 1.6523e+02 6.2316e-01 1.2521e+01 8.7219e+00 1.1401e+01 2.9234e+02 3.2664e+02 -7.5716e+00 -2.8872e+03 2.3397e+03 1.6091e+02 -1.3867e+04 1.6607e+04 -1.1476e+03 2.2162e+03 7.9257e+02 8.8399e+02 2.0092e+01 6.8748e+01 9.6799e+01 1.6555e+02 6.2361e-01 1.2521e+01 8.7390e+00 1.1380e+01 2.9264e+02 3.2650e+02 -7.5571e+00 -2.8416e+03 2.3048e+03 1.6171e+02 -1.3893e+04 1.6719e+04 -1.1306e+03 2.1995e+03 7.9363e+02 8.8363e+02 2.0078e+01 6.7706e+01 9.8202e+01 1.6591e+02 6.2405e-01 1.2521e+01 8.7559e+00 1.1359e+01 2.9294e+02 3.2637e+02 -7.5431e+00 -2.7968e+03 2.2704e+03 1.6256e+02 -1.3922e+04 1.6837e+04 -1.1139e+03 2.1828e+03 7.9467e+02 8.8328e+02 2.0064e+01 6.6769e+01 9.9507e+01 1.6628e+02 6.2443e-01 1.2521e+01 8.7708e+00 1.1341e+01 2.9321e+02 3.2625e+02 -7.5309e+00 -2.7570e+03 2.2400e+03 1.6338e+02 -1.3953e+04 1.6947e+04 -1.0991e+03 2.1677e+03 7.9561e+02 8.8296e+02 2.0052e+01 6.5832e+01 1.0086e+02 1.6669e+02 6.2479e-01 1.2521e+01 8.7854e+00 1.1323e+01 2.9347e+02 3.2615e+02 -7.5192e+00 -2.7177e+03 2.2102e+03 1.6425e+02 -1.3989e+04 1.7062e+04 -1.0847e+03 2.1527e+03 7.9653e+02 8.8265e+02 2.0040e+01 6.4894e+01 1.0225e+02 1.6714e+02 6.2514e-01 1.2521e+01 8.7996e+00 1.1306e+01 2.9374e+02 3.2605e+02 -7.5080e+00 -2.6792e+03 2.1811e+03 1.6517e+02 -1.4028e+04 1.7181e+04 -1.0705e+03 2.1377e+03 7.9745e+02 8.8235e+02 2.0029e+01 6.4051e+01 1.0355e+02 1.6760e+02 6.2544e-01 1.2521e+01 8.8122e+00 1.1291e+01 2.9398e+02 3.2597e+02 -7.4983e+00 -2.6450e+03 2.1554e+03 1.6604e+02 -1.4068e+04 1.7293e+04 -1.0581e+03 2.1242e+03 7.9826e+02 8.8208e+02 2.0019e+01 6.3207e+01 1.0488e+02 1.6809e+02 6.2573e-01 1.2521e+01 8.8244e+00 1.1276e+01 2.9421e+02 3.2589e+02 -7.4890e+00 -2.6114e+03 2.1304e+03 1.6696e+02 -1.4112e+04 1.7409e+04 -1.0461e+03 2.1108e+03 7.9907e+02 8.8181e+02 2.0010e+01 6.2364e+01 1.0626e+02 1.6862e+02 6.2601e-01 1.2521e+01 8.8362e+00 1.1261e+01 2.9445e+02 3.2583e+02 -7.4801e+00 -2.5785e+03 2.1060e+03 1.6793e+02 -1.4160e+04 1.7529e+04 -1.0344e+03 2.0974e+03 7.9986e+02 8.8156e+02 2.0001e+01 6.1520e+01 1.0768e+02 1.6920e+02 6.2628e-01 1.2521e+01 8.8477e+00 1.1248e+01 2.9468e+02 3.2577e+02 -7.4716e+00 -2.5462e+03 2.0823e+03 1.6894e+02 -1.4212e+04 1.7654e+04 -1.0233e+03 2.0841e+03 8.0064e+02 8.8131e+02 1.9992e+01 6.0761e+01 1.0900e+02 1.6976e+02 6.2651e-01 1.2521e+01 8.8576e+00 1.1236e+01 2.9489e+02 3.2572e+02 -7.4643e+00 -2.5177e+03 2.0617e+03 1.6990e+02 -1.4263e+04 1.7771e+04 -1.0133e+03 2.0721e+03 8.0133e+02 8.8109e+02 1.9985e+01 6.0002e+01 1.1036e+02 1.7036e+02 6.2672e-01 1.2521e+01 8.8672e+00 1.1224e+01 2.9509e+02 3.2568e+02 -7.4574e+00 -2.4898e+03 2.0417e+03 1.7090e+02 -1.4318e+04 1.7891e+04 -1.0040e+03 2.0603e+03 8.0200e+02 8.8088e+02 1.9978e+01 5.9243e+01 1.1176e+02 1.7101e+02 6.2693e-01 1.2521e+01 8.8763e+00 1.1213e+01 2.9530e+02 3.2565e+02 -7.4508e+00 -2.4626e+03 2.0225e+03 1.7195e+02 -1.4378e+04 1.8016e+04 -9.9389e+02 2.0485e+03 8.0267e+02 8.8068e+02 1.9972e+01 5.8560e+01 1.1306e+02 1.7162e+02 6.2710e-01 1.2521e+01 8.8842e+00 1.1203e+01 2.9548e+02 3.2563e+02 -7.4453e+00 -2.4387e+03 2.0058e+03 1.7293e+02 -1.4435e+04 1.8132e+04 -9.8479e+02 2.0379e+03 8.0325e+02 8.8050e+02 1.9966e+01 5.7876e+01 1.1439e+02 1.7227e+02 6.2727e-01 1.2521e+01 8.8918e+00 1.1194e+01 2.9566e+02 3.2562e+02 -7.4400e+00 -2.4154e+03 1.9898e+03 1.7394e+02 -1.4496e+04 1.8252e+04 -9.7622e+02 2.0275e+03 8.0383e+02 8.8033e+02 1.9961e+01 5.7193e+01 1.1577e+02 1.7296e+02 6.2743e-01 1.2521e+01 8.8989e+00 1.1186e+01 2.9583e+02 3.2562e+02 -7.4350e+00 -2.3927e+03 1.9746e+03 1.7500e+02 -1.4561e+04 1.8375e+04 -9.6705e+02 2.0171e+03 8.0438e+02 8.8018e+02 1.9956e+01 5.6510e+01 1.1718e+02 1.7369e+02 6.2757e-01 1.2521e+01 8.9056e+00 1.1178e+01 2.9601e+02 3.2562e+02 -7.4304e+00 -2.3707e+03 1.9601e+03 1.7610e+02 -1.4630e+04 1.8502e+04 -9.5833e+02 2.0069e+03 8.0493e+02 8.8003e+02 1.9951e+01 5.5895e+01 1.1848e+02 1.7438e+02 6.2769e-01 1.2521e+01 8.9112e+00 1.1171e+01 2.9616e+02 3.2563e+02 -7.4265e+00 -2.3515e+03 1.9478e+03 1.7713e+02 -1.4695e+04 1.8620e+04 -9.5002e+02 1.9978e+03 8.0540e+02 8.7990e+02 1.9947e+01 5.5280e+01 1.1982e+02 1.7510e+02 6.2781e-01 1.2521e+01 8.9165e+00 1.1165e+01 2.9631e+02 3.2565e+02 -7.4229e+00 -2.3328e+03 1.9362e+03 1.7819e+02 -1.4765e+04 1.8742e+04 -9.4170e+02 1.9888e+03 8.0587e+02 8.7978e+02 1.9944e+01 5.4665e+01 1.2120e+02 1.7586e+02 6.2791e-01 1.2521e+01 8.9213e+00 1.1159e+01 2.9647e+02 3.2567e+02 -7.4196e+00 -2.3148e+03 1.9253e+03 1.7929e+02 -1.4838e+04 1.8867e+04 -9.3371e+02 1.9799e+03 8.0632e+02 8.7968e+02 1.9940e+01 5.4050e+01 1.2261e+02 1.7666e+02 6.2800e-01 1.2521e+01 8.9257e+00 1.1154e+01 2.9661e+02 3.2571e+02 -7.4166e+00 -2.2975e+03 1.9152e+03 1.8042e+02 -1.4915e+04 1.8996e+04 -9.2533e+02 1.9712e+03 8.0675e+02 8.7958e+02 1.9937e+01 5.3497e+01 1.2392e+02 1.7741e+02 6.2808e-01 1.2521e+01 8.9293e+00 1.1149e+01 2.9675e+02 3.2575e+02 -7.4142e+00 -2.2825e+03 1.9068e+03 1.8148e+02 -1.4988e+04 1.9115e+04 -9.1777e+02 1.9634e+03 8.0713e+02 8.7951e+02 1.9935e+01 5.2943e+01 1.2525e+02 1.7820e+02 6.2815e-01 1.2521e+01 8.9325e+00 1.1146e+01 2.9688e+02 3.2579e+02 -7.4121e+00 -2.2681e+03 1.8992e+03 1.8257e+02 -1.5065e+04 1.9238e+04 -9.1021e+02 1.9558e+03 8.0749e+02 8.7944e+02 1.9933e+01 5.2390e+01 1.2663e+02 1.7902e+02 6.2821e-01 1.2521e+01 8.9353e+00 1.1142e+01 2.9700e+02 3.2584e+02 -7.4102e+00 -2.2543e+03 1.8923e+03 1.8369e+02 -1.5145e+04 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2.3485e+02 6.2222e-01 1.2521e+01 8.6841e+00 1.1447e+01 2.9922e+02 3.3383e+02 -7.6021e+00 -2.4065e+03 2.2676e+03 2.4551e+02 -2.0942e+04 2.6152e+04 -1.2165e+03 1.9431e+03 8.0642e+02 8.9586e+02 2.0123e+01 3.5029e+01 2.0094e+02 2.3597e+02 6.2200e-01 1.2521e+01 8.6764e+00 1.1457e+01 2.9922e+02 3.3401e+02 -7.6090e+00 -2.4177e+03 2.2795e+03 2.4657e+02 -2.1058e+04 2.6271e+04 -1.2329e+03 1.9484e+03 8.0621e+02 8.9631e+02 2.0130e+01 3.4856e+01 2.0224e+02 2.3710e+02 6.2178e-01 1.2521e+01 8.6686e+00 1.1467e+01 2.9921e+02 3.3420e+02 -7.6162e+00 -2.4294e+03 2.2917e+03 2.4765e+02 -2.1177e+04 2.6392e+04 -1.2498e+03 1.9540e+03 8.0599e+02 8.9677e+02 2.0137e+01 4.9314e+01 1.3495e+02 1.8426e+02 6.2837e-01 1.2521e+01 8.9424e+00 1.1134e+01 2.9767e+02 3.2629e+02 -7.4051e+00 -2.1906e+03 1.8690e+03 1.9060e+02 -1.5667e+04 2.0131e+04 -8.6078e+02 1.9102e+03 8.0949e+02 8.7934e+02 1.9926e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.9314e+01 )