Table 5 Fluid pressure and torques on upper plate with \(\xi _{rad} = 0.1\), \(\xi _{z} = 0.2\), \(\xi _{\theta } = 0.5\), \(\xi _{mag} = 0.1\), \(\xi _{pr} = 3\), \(\xi _{hm} = 1\), \(\xi _{pm} = 0.2\), \(\xi _{sm} = 1\), \(\xi _{ec} = 2\), \(\xi _{vis} = 0.3\), \(S = 1\) and various values of \(\xi _{sq}\).
\(\xi _{sq}\) | 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 | 19.2226 | \(-\,0.4558\) | 19.2225 | \(-\,0.4562\) | \(5.20224\times 10^{-6}\) | \(2.19346\times 10^{-3}\) |
0.5 | 5.2753 | \(-\,1.7021\) | 5.2752 | \(-\,0.4724\) | \(1.89566\times 10^{-4}\) | \(5.87475\times 10^{-4}\) |
1 | 3.4494 | \(-\,2.6614\) | 3.4493 | \(-\,0.5128\) | \(2.89914\times 10^{-4}\) | \(3.75728\times 10^{-4}\) |
1.5 | 2.8340 | \(-\,3.3410\) | 2.8339 | \(-\,0.3400\) | \(3.52871\times 10^{-4}\) | \(2.99303\times 10^{-4}\) |