| 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 | 110.0000 | ° |
| 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 = 3.353776e+01 ; Vswe = 1.932572e+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] 8.9103e+01 7.1283e+01 1.6039e+02 6.0860e-01 1.2521e+01 8.2799e+00 1.1960e+01 2.8538e+02 3.3147e+02 -8.0524e+00 -4.0457e+03 3.2422e+03 1.3811e+02 -1.2628e+04 1.3700e+04 -1.5910e+03 2.4417e+03 7.6471e+02 8.8903e+02 2.0573e+01 8.7992e+01 7.2032e+01 1.6002e+02 6.0937e-01 1.2521e+01 8.2988e+00 1.1935e+01 2.8569e+02 3.3127e+02 -8.0264e+00 -3.9912e+03 3.2022e+03 1.3809e+02 -1.2589e+04 1.3751e+04 -1.5713e+03 2.4257e+03 7.6586e+02 8.8871e+02 2.0547e+01 8.6881e+01 7.2804e+01 1.5969e+02 6.1012e-01 1.2521e+01 8.3178e+00 1.1910e+01 2.8600e+02 3.3107e+02 -8.0009e+00 -3.9370e+03 3.1622e+03 1.3811e+02 -1.2551e+04 1.3804e+04 -1.5515e+03 2.4096e+03 7.6702e+02 8.8838e+02 2.0522e+01 8.5769e+01 7.3600e+01 1.5937e+02 6.1087e-01 1.2521e+01 8.3368e+00 1.1885e+01 2.8631e+02 3.3087e+02 -7.9759e+00 -3.8831e+03 3.1224e+03 1.3816e+02 -1.2516e+04 1.3860e+04 -1.5319e+03 2.3936e+03 7.6818e+02 8.8806e+02 2.0497e+01 8.4658e+01 7.4419e+01 1.5908e+02 6.1160e-01 1.2521e+01 8.3558e+00 1.1860e+01 2.8662e+02 3.3068e+02 -7.9515e+00 -3.8295e+03 3.0827e+03 1.3825e+02 -1.2483e+04 1.3919e+04 -1.5122e+03 2.3776e+03 7.6935e+02 8.8773e+02 2.0472e+01 8.3547e+01 7.5265e+01 1.5881e+02 6.1231e-01 1.2521e+01 8.3747e+00 1.1836e+01 2.8693e+02 3.3048e+02 -7.9275e+00 -3.7762e+03 3.0429e+03 1.3837e+02 -1.2453e+04 1.3981e+04 -1.4927e+03 2.3616e+03 7.7051e+02 8.8741e+02 2.0448e+01 8.2435e+01 7.6136e+01 1.5857e+02 6.1302e-01 1.2521e+01 8.3937e+00 1.1811e+01 2.8725e+02 3.3029e+02 -7.9041e+00 -3.7233e+03 3.0031e+03 1.3853e+02 -1.2424e+04 1.4047e+04 -1.4732e+03 2.3456e+03 7.7168e+02 8.8708e+02 2.0425e+01 8.1324e+01 7.7035e+01 1.5836e+02 6.1371e-01 1.2521e+01 8.4126e+00 1.1787e+01 2.8756e+02 3.3010e+02 -7.8811e+00 -3.6707e+03 2.9636e+03 1.3873e+02 -1.2399e+04 1.4115e+04 -1.4538e+03 2.3296e+03 7.7284e+02 8.8676e+02 2.0402e+01 8.0213e+01 7.7963e+01 1.5818e+02 6.1438e-01 1.2521e+01 8.4314e+00 1.1763e+01 2.8788e+02 3.2992e+02 -7.8587e+00 -3.6185e+03 2.9242e+03 1.3898e+02 -1.2376e+04 1.4187e+04 -1.4345e+03 2.3136e+03 7.7401e+02 8.8644e+02 2.0380e+01 7.9101e+01 7.8921e+01 1.5802e+02 6.1504e-01 1.2521e+01 8.4502e+00 1.1738e+01 2.8819e+02 3.2973e+02 -7.8368e+00 -3.5667e+03 2.8849e+03 1.3926e+02 -1.2355e+04 1.4262e+04 -1.4153e+03 2.2977e+03 7.7518e+02 8.8611e+02 2.0358e+01 7.7990e+01 7.9910e+01 1.5790e+02 6.1569e-01 1.2521e+01 8.4689e+00 1.1714e+01 2.8851e+02 3.2956e+02 -7.8154e+00 -3.5153e+03 2.8460e+03 1.3959e+02 -1.2338e+04 1.4342e+04 -1.3962e+03 2.2817e+03 7.7635e+02 8.8579e+02 2.0336e+01 7.6879e+01 8.0933e+01 1.5781e+02 6.1632e-01 1.2521e+01 8.4875e+00 1.1691e+01 2.8882e+02 3.2938e+02 -7.7946e+00 -3.4643e+03 2.8073e+03 1.3996e+02 -1.2324e+04 1.4424e+04 -1.3773e+03 2.2657e+03 7.7752e+02 8.8548e+02 2.0315e+01 7.5768e+01 8.1990e+01 1.5776e+02 6.1694e-01 1.2521e+01 8.5061e+00 1.1667e+01 2.8914e+02 3.2921e+02 -7.7743e+00 -3.4137e+03 2.7688e+03 1.4039e+02 -1.2313e+04 1.4511e+04 -1.3584e+03 2.2497e+03 7.7868e+02 8.8516e+02 2.0295e+01 7.4656e+01 8.3083e+01 1.5774e+02 6.1754e-01 1.2521e+01 8.5245e+00 1.1644e+01 2.8945e+02 3.2904e+02 -7.7546e+00 -3.3636e+03 2.7307e+03 1.4086e+02 -1.2305e+04 1.4602e+04 -1.3398e+03 2.2338e+03 7.7985e+02 8.8484e+02 2.0275e+01 7.3545e+01 8.4215e+01 1.5776e+02 6.1812e-01 1.2521e+01 8.5427e+00 1.1621e+01 2.8977e+02 3.2888e+02 -7.7353e+00 -3.3140e+03 2.6929e+03 1.4138e+02 -1.2301e+04 1.4697e+04 -1.3213e+03 2.2178e+03 7.8101e+02 8.8453e+02 2.0256e+01 7.2434e+01 8.5386e+01 1.5782e+02 6.1869e-01 1.2521e+01 8.5608e+00 1.1598e+01 2.9008e+02 3.2873e+02 -7.7167e+00 -3.2650e+03 2.6555e+03 1.4196e+02 -1.2300e+04 1.4797e+04 -1.3030e+03 2.2019e+03 7.8217e+02 8.8422e+02 2.0237e+01 7.1322e+01 8.6600e+01 1.5792e+02 6.1925e-01 1.2521e+01 8.5787e+00 1.1575e+01 2.9040e+02 3.2858e+02 -7.6986e+00 -3.2165e+03 2.6185e+03 1.4259e+02 -1.2304e+04 1.4901e+04 -1.2849e+03 2.1860e+03 7.8332e+02 8.8391e+02 2.0219e+01 7.0211e+01 8.7858e+01 1.5807e+02 6.1978e-01 1.2521e+01 8.5964e+00 1.1553e+01 2.9071e+02 3.2843e+02 -7.6811e+00 -3.1686e+03 2.5819e+03 1.4328e+02 -1.2312e+04 1.5010e+04 -1.2671e+03 2.1701e+03 7.8447e+02 8.8361e+02 2.0202e+01 6.9100e+01 8.9162e+01 1.5826e+02 6.2030e-01 1.2521e+01 8.6139e+00 1.1531e+01 2.9102e+02 3.2830e+02 -7.6641e+00 -3.1213e+03 2.5459e+03 1.4403e+02 -1.2324e+04 1.5125e+04 -1.2495e+03 2.1542e+03 7.8561e+02 8.8331e+02 2.0185e+01 6.7988e+01 9.0515e+01 1.5850e+02 6.2081e-01 1.2521e+01 8.6311e+00 1.1510e+01 2.9134e+02 3.2817e+02 -7.6478e+00 -3.0747e+03 2.5104e+03 1.4484e+02 -1.2341e+04 1.5244e+04 -1.2322e+03 2.1384e+03 7.8675e+02 8.8302e+02 2.0169e+01 6.6988e+01 9.1778e+01 1.5877e+02 6.2125e-01 1.2521e+01 8.6463e+00 1.1491e+01 2.9162e+02 3.2806e+02 -7.6336e+00 -3.0333e+03 2.4790e+03 1.4563e+02 -1.2361e+04 1.5357e+04 -1.2170e+03 2.1242e+03 7.8776e+02 8.8276e+02 2.0154e+01 6.5988e+01 9.3084e+01 1.5907e+02 6.2167e-01 1.2521e+01 8.6612e+00 1.1472e+01 2.9189e+02 3.2796e+02 -7.6199e+00 -2.9926e+03 2.4482e+03 1.4647e+02 -1.2385e+04 1.5474e+04 -1.2020e+03 2.1100e+03 7.8877e+02 8.8250e+02 2.0141e+01 6.4988e+01 9.4437e+01 1.5943e+02 6.2208e-01 1.2521e+01 8.6758e+00 1.1454e+01 2.9217e+02 3.2786e+02 -7.6067e+00 -2.9525e+03 2.4180e+03 1.4737e+02 -1.2414e+04 1.5596e+04 -1.1876e+03 2.0959e+03 7.8976e+02 8.8225e+02 2.0127e+01 6.4088e+01 9.5697e+01 1.5978e+02 6.2243e-01 1.2521e+01 8.6887e+00 1.1438e+01 2.9242e+02 3.2778e+02 -7.5952e+00 -2.9171e+03 2.3913e+03 1.4823e+02 -1.2444e+04 1.5710e+04 -1.1748e+03 2.0832e+03 7.9065e+02 8.8204e+02 2.0116e+01 6.3188e+01 9.6998e+01 1.6019e+02 6.2277e-01 1.2521e+01 8.7013e+00 1.1423e+01 2.9267e+02 3.2771e+02 -7.5842e+00 -2.8822e+03 2.3653e+03 1.4914e+02 -1.2479e+04 1.5829e+04 -1.1613e+03 2.0706e+03 7.9153e+02 8.8182e+02 2.0105e+01 6.2287e+01 9.8342e+01 1.6063e+02 6.2310e-01 1.2521e+01 8.7136e+00 1.1407e+01 2.9291e+02 3.2765e+02 -7.5736e+00 -2.8480e+03 2.3398e+03 1.5010e+02 -1.2518e+04 1.5953e+04 -1.1483e+03 2.0580e+03 7.9240e+02 8.8162e+02 2.0094e+01 6.1477e+01 9.9592e+01 1.6107e+02 6.2338e-01 1.2521e+01 8.7243e+00 1.1394e+01 2.9313e+02 3.2760e+02 -7.5645e+00 -2.8178e+03 2.3175e+03 1.5101e+02 -1.2557e+04 1.6068e+04 -1.1361e+03 2.0467e+03 7.9318e+02 8.8144e+02 2.0085e+01 6.0667e+01 1.0088e+02 1.6155e+02 6.2365e-01 1.2521e+01 8.7347e+00 1.1381e+01 2.9335e+02 3.2755e+02 -7.5557e+00 -2.7882e+03 2.2958e+03 1.5197e+02 -1.2600e+04 1.6187e+04 -1.1243e+03 2.0356e+03 7.9394e+02 8.8127e+02 2.0077e+01 5.9857e+01 1.0221e+02 1.6206e+02 6.2391e-01 1.2521e+01 8.7448e+00 1.1369e+01 2.9357e+02 3.2752e+02 -7.5474e+00 -2.7592e+03 2.2747e+03 1.5297e+02 -1.2647e+04 1.6311e+04 -1.1120e+03 2.0244e+03 7.9470e+02 8.8110e+02 2.0068e+01 5.9047e+01 1.0358e+02 1.6263e+02 6.2416e-01 1.2521e+01 8.7545e+00 1.1357e+01 2.9378e+02 3.2749e+02 -7.5394e+00 -2.7309e+03 2.2543e+03 1.5402e+02 -1.2699e+04 1.6439e+04 -1.1001e+03 2.0134e+03 7.9544e+02 8.8095e+02 2.0060e+01 5.8318e+01 1.0485e+02 1.6317e+02 6.2437e-01 1.2521e+01 8.7629e+00 1.1347e+01 2.9398e+02 3.2747e+02 -7.5325e+00 -2.7059e+03 2.2365e+03 1.5501e+02 -1.2750e+04 1.6558e+04 -1.0889e+03 2.0036e+03 7.9609e+02 8.8081e+02 2.0053e+01 5.7589e+01 1.0616e+02 1.6375e+02 6.2458e-01 1.2521e+01 8.7710e+00 1.1337e+01 2.9417e+02 3.2746e+02 -7.5260e+00 -2.6816e+03 2.2194e+03 1.5604e+02 -1.2804e+04 1.6681e+04 -1.0781e+03 1.9938e+03 7.9674e+02 8.8069e+02 2.0047e+01 5.6859e+01 1.0751e+02 1.6437e+02 6.2477e-01 1.2521e+01 8.7787e+00 1.1327e+01 2.9435e+02 3.2746e+02 -7.5199e+00 -2.6579e+03 2.2030e+03 1.5712e+02 -1.2864e+04 1.6808e+04 -1.0668e+03 1.9841e+03 7.9737e+02 8.8057e+02 2.0041e+01 5.6203e+01 1.0876e+02 1.6496e+02 6.2493e-01 1.2521e+01 8.7854e+00 1.1319e+01 2.9452e+02 3.2746e+02 -7.5146e+00 -2.6372e+03 2.1888e+03 1.5813e+02 -1.2921e+04 1.6926e+04 -1.0570e+03 1.9755e+03 7.9793e+02 8.8048e+02 2.0035e+01 5.5547e+01 1.1004e+02 1.6559e+02 6.2509e-01 1.2521e+01 8.7916e+00 1.1311e+01 2.9469e+02 3.2748e+02 -7.5097e+00 -2.6170e+03 2.1752e+03 1.5917e+02 -1.2982e+04 1.7048e+04 -1.0468e+03 1.9670e+03 7.9848e+02 8.8039e+02 2.0030e+01 5.4891e+01 1.1136e+02 1.6625e+02 6.2523e-01 1.2521e+01 8.7976e+00 1.1304e+01 2.9485e+02 3.2750e+02 -7.5051e+00 -2.5974e+03 2.1623e+03 1.6025e+02 -1.3046e+04 1.7173e+04 -1.0369e+03 1.9586e+03 7.9901e+02 8.8031e+02 2.0026e+01 5.4235e+01 1.1272e+02 1.6695e+02 6.2537e-01 1.2521e+01 8.8031e+00 1.1297e+01 2.9502e+02 3.2752e+02 -7.5008e+00 -2.5784e+03 2.1501e+03 1.6138e+02 -1.3116e+04 1.7302e+04 -1.0266e+03 1.9503e+03 7.9954e+02 8.8024e+02 2.0022e+01 5.3644e+01 1.1398e+02 1.6762e+02 6.2548e-01 1.2521e+01 8.8078e+00 1.1292e+01 2.9516e+02 3.2755e+02 -7.4972e+00 -2.5619e+03 2.1397e+03 1.6242e+02 -1.3182e+04 1.7422e+04 -1.0174e+03 1.9430e+03 8.0000e+02 8.8019e+02 2.0018e+01 5.3053e+01 1.1527e+02 1.6832e+02 6.2558e-01 1.2521e+01 8.8122e+00 1.1286e+01 2.9531e+02 3.2759e+02 -7.4938e+00 -2.5460e+03 2.1300e+03 1.6351e+02 -1.3252e+04 1.7545e+04 -1.0083e+03 1.9357e+03 8.0044e+02 8.8015e+02 2.0015e+01 5.2463e+01 1.1659e+02 1.6905e+02 6.2568e-01 1.2521e+01 8.8161e+00 1.1282e+01 2.9545e+02 3.2764e+02 -7.4908e+00 -2.5306e+03 2.1209e+03 1.6462e+02 -1.3325e+04 1.7671e+04 -9.9904e+02 1.9286e+03 8.0088e+02 8.8012e+02 2.0012e+01 5.1872e+01 1.1795e+02 1.6982e+02 6.2576e-01 1.2521e+01 8.8197e+00 1.1277e+01 2.9559e+02 3.2769e+02 -7.4880e+00 -2.5158e+03 2.1125e+03 1.6578e+02 -1.3403e+04 1.7801e+04 -9.8980e+02 1.9216e+03 8.0130e+02 8.8010e+02 2.0009e+01 5.1341e+01 1.1920e+02 1.7054e+02 6.2583e-01 1.2521e+01 8.8227e+00 1.1274e+01 2.9571e+02 3.2774e+02 -7.4858e+00 -2.5031e+03 2.1055e+03 1.6685e+02 -1.3477e+04 1.7922e+04 -9.8141e+02 1.9155e+03 8.0167e+02 8.8009e+02 2.0007e+01 5.0809e+01 1.2049e+02 1.7130e+02 6.2590e-01 1.2521e+01 8.8252e+00 1.1271e+01 2.9584e+02 3.2781e+02 -7.4838e+00 -2.4910e+03 2.0992e+03 1.6796e+02 -1.3555e+04 1.8045e+04 -9.7317e+02 1.9095e+03 8.0203e+02 8.8010e+02 2.0005e+01 5.0278e+01 1.2181e+02 1.7209e+02 6.2595e-01 1.2521e+01 8.8275e+00 1.1268e+01 2.9596e+02 3.2787e+02 -7.4821e+00 -2.4797e+03 2.0935e+03 1.6910e+02 -1.3636e+04 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2.2532e+02 6.2019e-01 1.2521e+01 8.6094e+00 1.1537e+01 2.9840e+02 3.3590e+02 -7.6677e+00 -2.6306e+03 2.4599e+03 2.3047e+02 -1.9450e+04 2.4875e+04 -1.2883e+03 1.9239e+03 8.0261e+02 8.9739e+02 2.0189e+01 3.3586e+01 1.9290e+02 2.2649e+02 6.1997e-01 1.2521e+01 8.6019e+00 1.1546e+01 2.9840e+02 3.3609e+02 -7.6750e+00 -2.6417e+03 2.4723e+03 2.3163e+02 -1.9577e+04 2.5004e+04 -1.3049e+03 1.9294e+03 8.0242e+02 8.9785e+02 2.0196e+01 3.3419e+01 1.9414e+02 2.2756e+02 6.1976e-01 1.2521e+01 8.5951e+00 1.1555e+01 2.9841e+02 3.3627e+02 -7.6818e+00 -2.6521e+03 2.4835e+03 2.3269e+02 -1.9694e+04 2.5122e+04 -1.3203e+03 1.9345e+03 8.0225e+02 8.9828e+02 2.0203e+01 4.7489e+01 1.2933e+02 1.7682e+02 6.2608e-01 1.2521e+01 8.8329e+00 1.1261e+01 2.9656e+02 3.2836e+02 -7.4778e+00 -2.4309e+03 2.0754e+03 1.7565e+02 -1.4132e+04 1.8895e+04 -9.3312e+02 1.8755e+03 8.0397e+02 8.8046e+02 1.9999e+01
ALL DONE : Vswe > 2.000000e+00 * (Th/Tk) * Vswc reached and precise location of optimum efficiency determined ( last line of data with Vswc = 4.7489e+01 )