| 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 | 75.0000 | ° |
| 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 = 3.354351e+01 ; Vswe = 1.932904e+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] 8.9150e+01 7.1320e+01 1.6047e+02 5.9879e-01 1.2521e+01 7.9831e+00 1.2349e+01 2.8133e+02 3.3584e+02 -8.3893e+00 -4.7669e+03 3.8513e+03 9.8699e+01 -9.3162e+03 1.1040e+04 -1.8391e+03 2.0252e+03 7.4824e+02 8.8577e+02 2.0910e+01 8.8038e+01 7.2057e+01 1.6009e+02 5.9961e-01 1.2521e+01 7.9989e+00 1.2327e+01 2.8161e+02 3.3569e+02 -8.3606e+00 -4.7168e+03 3.8159e+03 9.8699e+01 -9.2598e+03 1.1112e+04 -1.8185e+03 2.0146e+03 7.4938e+02 8.8569e+02 2.0881e+01 8.6925e+01 7.2817e+01 1.5974e+02 6.0042e-01 1.2521e+01 8.0146e+00 1.2305e+01 2.8189e+02 3.3553e+02 -8.3325e+00 -4.6671e+03 3.7807e+03 9.8748e+01 -9.2051e+03 1.1187e+04 -1.7980e+03 2.0042e+03 7.5051e+02 8.8561e+02 2.0853e+01 8.5813e+01 7.3600e+01 1.5941e+02 6.0122e-01 1.2521e+01 8.0303e+00 1.2284e+01 2.8216e+02 3.3538e+02 -8.3050e+00 -4.6178e+03 3.7458e+03 9.8851e+01 -9.1523e+03 1.1264e+04 -1.7775e+03 1.9939e+03 7.5164e+02 8.8553e+02 2.0826e+01 8.4701e+01 7.4407e+01 1.5911e+02 6.0200e-01 1.2521e+01 8.0459e+00 1.2262e+01 2.8244e+02 3.3523e+02 -8.2779e+00 -4.5690e+03 3.7111e+03 9.9008e+01 -9.1014e+03 1.1345e+04 -1.7572e+03 1.9837e+03 7.5278e+02 8.8546e+02 2.0799e+01 8.3589e+01 7.5240e+01 1.5883e+02 6.0277e-01 1.2521e+01 8.0615e+00 1.2241e+01 2.8272e+02 3.3509e+02 -8.2515e+00 -4.5207e+03 3.6766e+03 9.9221e+01 -9.0524e+03 1.1428e+04 -1.7369e+03 1.9736e+03 7.5391e+02 8.8539e+02 2.0772e+01 8.2477e+01 7.6098e+01 1.5858e+02 6.0352e-01 1.2521e+01 8.0769e+00 1.2220e+01 2.8299e+02 3.3495e+02 -8.2255e+00 -4.4728e+03 3.6424e+03 9.9493e+01 -9.0056e+03 1.1514e+04 -1.7168e+03 1.9636e+03 7.5504e+02 8.8533e+02 2.0746e+01 8.1365e+01 7.6984e+01 1.5835e+02 6.0426e-01 1.2521e+01 8.0923e+00 1.2199e+01 2.8327e+02 3.3481e+02 -8.2002e+00 -4.4253e+03 3.6084e+03 9.9825e+01 -8.9611e+03 1.1603e+04 -1.6967e+03 1.9537e+03 7.5617e+02 8.8527e+02 2.0721e+01 8.0253e+01 7.7899e+01 1.5815e+02 6.0498e-01 1.2521e+01 8.1075e+00 1.2178e+01 2.8355e+02 3.3468e+02 -8.1754e+00 -4.3784e+03 3.5748e+03 1.0022e+02 -8.9189e+03 1.1696e+04 -1.6769e+03 1.9440e+03 7.5730e+02 8.8522e+02 2.0696e+01 7.9141e+01 7.8843e+01 1.5798e+02 6.0569e-01 1.2521e+01 8.1227e+00 1.2158e+01 2.8382e+02 3.3455e+02 -8.1511e+00 -4.3320e+03 3.5415e+03 1.0067e+02 -8.8792e+03 1.1792e+04 -1.6571e+03 1.9344e+03 7.5842e+02 8.8517e+02 2.0672e+01 7.8028e+01 7.9819e+01 1.5785e+02 6.0639e-01 1.2521e+01 8.1377e+00 1.2138e+01 2.8410e+02 3.3443e+02 -8.1274e+00 -4.2863e+03 3.5085e+03 1.0119e+02 -8.8422e+03 1.1892e+04 -1.6376e+03 1.9249e+03 7.5954e+02 8.8512e+02 2.0648e+01 7.6916e+01 8.0828e+01 1.5774e+02 6.0707e-01 1.2521e+01 8.1526e+00 1.2118e+01 2.8438e+02 3.3431e+02 -8.1043e+00 -4.2413e+03 3.4759e+03 1.0177e+02 -8.8080e+03 1.1996e+04 -1.6182e+03 1.9155e+03 7.6066e+02 8.8509e+02 2.0625e+01 7.5804e+01 8.1871e+01 1.5768e+02 6.0773e-01 1.2521e+01 8.1673e+00 1.2098e+01 2.8465e+02 3.3420e+02 -8.0818e+00 -4.1968e+03 3.4437e+03 1.0241e+02 -8.7769e+03 1.2103e+04 -1.5990e+03 1.9063e+03 7.6178e+02 8.8506e+02 2.0603e+01 7.4692e+01 8.2951e+01 1.5764e+02 6.0838e-01 1.2521e+01 8.1819e+00 1.2078e+01 2.8493e+02 3.3409e+02 -8.0599e+00 -4.1529e+03 3.4119e+03 1.0312e+02 -8.7489e+03 1.2215e+04 -1.5801e+03 1.8972e+03 7.6289e+02 8.8504e+02 2.0581e+01 7.3580e+01 8.4068e+01 1.5765e+02 6.0901e-01 1.2521e+01 8.1962e+00 1.2059e+01 2.8520e+02 3.3399e+02 -8.0385e+00 -4.1097e+03 3.3806e+03 1.0390e+02 -8.7244e+03 1.2331e+04 -1.5614e+03 1.8882e+03 7.6400e+02 8.8502e+02 2.0559e+01 7.2468e+01 8.5225e+01 1.5769e+02 6.0962e-01 1.2521e+01 8.2104e+00 1.2040e+01 2.8548e+02 3.3389e+02 -8.0178e+00 -4.0672e+03 3.3497e+03 1.0474e+02 -8.7036e+03 1.2452e+04 -1.5429e+03 1.8794e+03 7.6510e+02 8.8502e+02 2.0539e+01 7.1356e+01 8.6424e+01 1.5778e+02 6.1022e-01 1.2521e+01 8.2244e+00 1.2022e+01 2.8575e+02 3.3380e+02 -7.9976e+00 -4.0253e+03 3.3193e+03 1.0565e+02 -8.6867e+03 1.2577e+04 -1.5247e+03 1.8708e+03 7.6619e+02 8.8502e+02 2.0518e+01 7.0244e+01 8.7667e+01 1.5791e+02 6.1080e-01 1.2521e+01 8.2381e+00 1.2003e+01 2.8602e+02 3.3372e+02 -7.9781e+00 -3.9842e+03 3.2895e+03 1.0663e+02 -8.6740e+03 1.2707e+04 -1.5069e+03 1.8623e+03 7.6728e+02 8.8504e+02 2.0499e+01 6.9131e+01 8.8957e+01 1.5809e+02 6.1136e-01 1.2521e+01 8.2516e+00 1.1986e+01 2.8629e+02 3.3365e+02 -7.9593e+00 -3.9438e+03 3.2603e+03 1.0768e+02 -8.6660e+03 1.2843e+04 -1.4894e+03 1.8540e+03 7.6836e+02 8.8507e+02 2.0480e+01 6.8019e+01 9.0295e+01 1.5831e+02 6.1191e-01 1.2521e+01 8.2648e+00 1.1968e+01 2.8656e+02 3.3358e+02 -7.9411e+00 -3.9042e+03 3.2316e+03 1.0880e+02 -8.6630e+03 1.2984e+04 -1.4723e+03 1.8459e+03 7.6944e+02 8.8511e+02 2.0462e+01 6.7018e+01 9.1544e+01 1.5856e+02 6.1238e-01 1.2521e+01 8.2764e+00 1.1953e+01 2.8681e+02 3.3353e+02 -7.9252e+00 -3.8693e+03 3.2064e+03 1.0987e+02 -8.6648e+03 1.3116e+04 -1.4573e+03 1.8388e+03 7.7039e+02 8.8516e+02 2.0446e+01 6.6018e+01 9.2837e+01 1.5885e+02 6.1284e-01 1.2521e+01 8.2877e+00 1.1938e+01 2.8705e+02 3.3349e+02 -7.9099e+00 -3.8352e+03 3.1818e+03 1.1100e+02 -8.6714e+03 1.3252e+04 -1.4426e+03 1.8319e+03 7.7134e+02 8.8523e+02 2.0431e+01 6.5017e+01 9.4177e+01 1.5919e+02 6.1328e-01 1.2521e+01 8.2988e+00 1.1923e+01 2.8729e+02 3.3345e+02 -7.8952e+00 -3.8017e+03 3.1578e+03 1.1220e+02 -8.6832e+03 1.3394e+04 -1.4284e+03 1.8251e+03 7.7228e+02 8.8531e+02 2.0416e+01 6.4116e+01 9.5424e+01 1.5954e+02 6.1367e-01 1.2521e+01 8.3085e+00 1.1911e+01 2.8750e+02 3.3343e+02 -7.8825e+00 -3.7723e+03 3.1368e+03 1.1333e+02 -8.6986e+03 1.3527e+04 -1.4159e+03 1.8192e+03 7.7312e+02 8.8539e+02 2.0403e+01 6.3215e+01 9.6713e+01 1.5993e+02 6.1404e-01 1.2521e+01 8.3179e+00 1.1898e+01 2.8772e+02 3.3341e+02 -7.8702e+00 -3.7436e+03 3.1163e+03 1.1451e+02 -8.7189e+03 1.3664e+04 -1.4039e+03 1.8134e+03 7.7395e+02 8.8549e+02 2.0391e+01 6.2314e+01 9.8045e+01 1.6036e+02 6.1439e-01 1.2521e+01 8.3271e+00 1.1886e+01 2.8793e+02 3.3340e+02 -7.8584e+00 -3.7156e+03 3.0965e+03 1.1575e+02 -8.7446e+03 1.3805e+04 -1.3923e+03 1.8078e+03 7.7477e+02 8.8560e+02 2.0379e+01 6.1413e+01 9.9423e+01 1.6084e+02 6.1473e-01 1.2521e+01 8.3359e+00 1.1875e+01 2.8814e+02 3.3340e+02 -7.8471e+00 -3.6883e+03 3.0772e+03 1.1705e+02 -8.7762e+03 1.3952e+04 -1.3812e+03 1.8024e+03 7.7558e+02 8.8573e+02 2.0368e+01 6.0603e+01 1.0070e+02 1.6131e+02 6.1502e-01 1.2521e+01 8.3436e+00 1.1865e+01 2.8833e+02 3.3341e+02 -7.8374e+00 -3.6643e+03 3.0605e+03 1.1827e+02 -8.8102e+03 1.4089e+04 -1.3716e+03 1.7978e+03 7.7630e+02 8.8587e+02 2.0358e+01 5.9792e+01 1.0203e+02 1.6182e+02 6.1530e-01 1.2521e+01 8.3510e+00 1.1855e+01 2.8852e+02 3.3342e+02 -7.8281e+00 -3.6411e+03 3.0443e+03 1.1953e+02 -8.8499e+03 1.4230e+04 -1.3624e+03 1.7933e+03 7.7701e+02 8.8602e+02 2.0349e+01 5.8981e+01 1.0339e+02 1.6237e+02 6.1557e-01 1.2521e+01 8.3581e+00 1.1846e+01 2.8871e+02 3.3344e+02 -7.8193e+00 -3.6185e+03 3.0288e+03 1.2085e+02 -8.8960e+03 1.4375e+04 -1.3537e+03 1.7890e+03 7.7771e+02 8.8618e+02 2.0340e+01 5.8251e+01 1.0466e+02 1.6291e+02 6.1580e-01 1.2521e+01 8.3642e+00 1.1838e+01 2.8888e+02 3.3347e+02 -7.8117e+00 -3.5988e+03 3.0154e+03 1.2208e+02 -8.9434e+03 1.4510e+04 -1.3464e+03 1.7852e+03 7.7833e+02 8.8635e+02 2.0333e+01 5.7522e+01 1.0596e+02 1.6349e+02 6.1602e-01 1.2521e+01 8.3700e+00 1.1830e+01 2.8904e+02 3.3350e+02 -7.8046e+00 -3.5796e+03 3.0025e+03 1.2336e+02 -8.9970e+03 1.4650e+04 -1.3394e+03 1.7817e+03 7.7894e+02 8.8653e+02 2.0325e+01 5.6792e+01 1.0731e+02 1.6410e+02 6.1622e-01 1.2521e+01 8.3756e+00 1.1823e+01 2.8921e+02 3.3355e+02 -7.7978e+00 -3.5612e+03 2.9902e+03 1.2468e+02 -9.0575e+03 1.4793e+04 -1.3330e+03 1.7783e+03 7.7954e+02 8.8673e+02 2.0319e+01 5.6135e+01 1.0855e+02 1.6469e+02 6.1640e-01 1.2521e+01 8.3804e+00 1.1817e+01 2.8935e+02 3.3359e+02 -7.7920e+00 -3.5451e+03 2.9796e+03 1.2590e+02 -9.1183e+03 1.4926e+04 -1.3276e+03 1.7755e+03 7.8007e+02 8.8693e+02 2.0313e+01 5.5479e+01 1.0983e+02 1.6531e+02 6.1656e-01 1.2521e+01 8.3849e+00 1.1811e+01 2.8950e+02 3.3364e+02 -7.7866e+00 -3.5296e+03 2.9696e+03 1.2717e+02 -9.1859e+03 1.5063e+04 -1.3227e+03 1.7728e+03 7.8060e+02 8.8714e+02 2.0307e+01 5.4822e+01 1.1115e+02 1.6597e+02 6.1672e-01 1.2521e+01 8.3891e+00 1.1805e+01 2.8964e+02 3.3370e+02 -7.7815e+00 -3.5146e+03 2.9601e+03 1.2848e+02 -9.2606e+03 1.5203e+04 -1.3183e+03 1.7703e+03 7.8111e+02 8.8737e+02 2.0302e+01 5.4165e+01 1.1251e+02 1.6667e+02 6.1686e-01 1.2521e+01 8.3931e+00 1.1800e+01 2.8979e+02 3.3376e+02 -7.7768e+00 -3.5003e+03 2.9511e+03 1.2983e+02 -9.3433e+03 1.5348e+04 -1.3143e+03 1.7680e+03 7.8162e+02 8.8762e+02 2.0298e+01 5.3574e+01 1.1376e+02 1.6734e+02 6.1698e-01 1.2521e+01 8.3964e+00 1.1796e+01 2.8992e+02 3.3383e+02 -7.7729e+00 -3.4879e+03 2.9436e+03 1.3108e+02 -9.4249e+03 1.5482e+04 -1.3112e+03 1.7661e+03 7.8206e+02 8.8785e+02 2.0294e+01 5.2983e+01 1.1505e+02 1.6803e+02 6.1709e-01 1.2521e+01 8.3994e+00 1.1792e+01 2.9004e+02 3.3390e+02 -7.7693e+00 -3.4760e+03 2.9366e+03 1.3237e+02 -9.5138e+03 1.5619e+04 -1.3086e+03 1.7643e+03 7.8250e+02 8.8811e+02 2.0290e+01 5.2392e+01 1.1637e+02 1.6876e+02 6.1719e-01 1.2521e+01 8.4022e+00 1.1788e+01 2.9017e+02 3.3398e+02 -7.7661e+00 -3.4647e+03 2.9301e+03 1.3369e+02 -9.6102e+03 1.5760e+04 -1.3064e+03 1.7628e+03 7.8292e+02 8.8838e+02 2.0287e+01 5.1801e+01 1.1773e+02 1.6953e+02 6.1728e-01 1.2521e+01 8.4047e+00 1.1785e+01 2.9029e+02 3.3406e+02 -7.7631e+00 -3.4540e+03 2.9241e+03 1.3506e+02 -9.7144e+03 1.5905e+04 -1.3048e+03 1.7614e+03 7.8334e+02 8.8867e+02 2.0284e+01 5.1269e+01 1.1899e+02 1.7026e+02 6.1735e-01 1.2521e+01 8.4067e+00 1.1782e+01 2.9040e+02 3.3414e+02 -7.7608e+00 -3.4448e+03 2.9193e+03 1.3632e+02 -9.8149e+03 1.6039e+04 -1.3038e+03 1.7604e+03 7.8371e+02 8.8895e+02 2.0282e+01 5.0737e+01 1.2027e+02 1.7101e+02 6.1741e-01 1.2521e+01 8.4085e+00 1.1780e+01 2.9051e+02 3.3423e+02 -7.7588e+00 -3.4362e+03 2.9149e+03 1.3761e+02 -9.9219e+03 1.6176e+04 -1.3033e+03 1.7595e+03 7.8406e+02 8.8924e+02 2.0280e+01 5.0205e+01 1.2159e+02 1.7180e+02 6.1746e-01 1.2521e+01 8.4101e+00 1.1778e+01 2.9062e+02 3.3433e+02 -7.7570e+00 -3.4280e+03 2.9110e+03 1.3894e+02 -1.0035e+04 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2.2516e+02 6.1074e-01 1.2521e+01 8.2431e+00 1.1996e+01 2.9313e+02 3.4283e+02 -7.9801e+00 -3.6122e+03 3.2279e+03 2.0634e+02 -1.7478e+04 2.3550e+04 -1.8336e+03 1.9573e+03 7.8704e+02 9.1031e+02 2.0501e+01 3.3637e+01 1.9259e+02 2.2623e+02 6.1051e-01 1.2521e+01 8.2377e+00 1.2003e+01 2.9315e+02 3.4302e+02 -7.9879e+00 -3.6216e+03 3.2388e+03 2.0746e+02 -1.7613e+04 2.3674e+04 -1.8499e+03 1.9641e+03 7.8693e+02 9.1068e+02 2.0509e+01 3.3470e+01 1.9384e+02 2.2731e+02 6.1027e-01 1.2521e+01 8.2323e+00 1.2010e+01 2.9316e+02 3.4321e+02 -7.9959e+00 -3.6313e+03 3.2499e+03 2.0859e+02 -1.7749e+04 2.3801e+04 -1.8666e+03 1.9712e+03 7.8681e+02 9.1106e+02 2.0517e+01 4.7767e+01 1.2812e+02 1.7588e+02 6.1758e-01 1.2521e+01 8.4135e+00 1.1774e+01 2.9111e+02 3.3486e+02 -7.7533e+00 -3.3979e+03 2.9004e+03 1.4550e+02 -1.0634e+04 1.7009e+04 -1.3105e+03 1.7585e+03 7.8588e+02 8.9120e+02 2.0274e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.7767e+01 )