Table 7 Fluid pressure and torques on upper plate with \(\xi _{sq} = 0.1\), \(\xi _{z} = 0.2\), \(\xi _{\theta } = 0.5\), \(\xi _{mag} = 0.3\), \(\xi _{pr} = 3\), \(\xi _{hm} = 1\), \(\xi _{pm} = 0.2\), \(\xi _{sm} = 1\), \(\xi _{ec} = 2\), \(\xi _{vis} = 0.3\), \(S = 1\) and various values of \(\xi _{a}\).
\(\xi _{a}\) | HAM result | BVP4c result | %Error = \(\vert \frac{N.R - H.R}{N.R}\vert\) | |||
---|---|---|---|---|---|---|
\(F_{pres}\) | \(g'(1)\) | \(F_{pres}\) | \(g'(1)\) | \(F_{pres}\) | \(g'(1)\) | |
0.1 | 19.2024 | \(-\,0.4561\) | 19.2023 | \(-\,0.4562\) | \(5.20771\times 10^{-6}\) | \(2.19202\times 10^{-3}\) |
0.5 | 6.9653 | \(-\,0.4723\) | 6.9652 | \(-\,0.4724\) | \(1.43571\times 10^{-4}\) | \(2.11775\times 10^{-3}\) |
1 | \(-\,34.0176\) | \(-\,0.5127\) | \(-34.0175\) | \(-\,0.5128\) | \(2.93966\times 10^{-6}\) | \(1.95008\times 10^{-3}\) |
1.5 | \(-\,268.29\) | \(-\,0.3399\) | \(-268.28\) | \(-\,0.3400\) | \(3.72745\times 10^{-4}\) | \(2.94204\times 10^{-3}\) |