Table 8 Variation of \(\pmb{\beta^{2}=\Upsilon}\) , \(\pmb{f''(0)}\) , \(\pmb{\theta(1)}\) and \(\pmb{-\theta'(0)}\) using 20th-order HAM via Mathematica package BVPh2.0 approximation when \(\pmb{\mathit {Ma}=1}\) , \(\pmb{M=1}\) , \(\pmb{\mathit {Pr}=0.2}\) , \(\pmb{\mathit {Gr}=5}\) and S is varied
S | \(\boldsymbol{\beta^{2}}\) | \(\boldsymbol {f''(0)}\) | θ (1) | \(\boldsymbol{-\theta'(0)}\) |
|---|---|---|---|---|
K = 0.1 | ||||
0.2 | 0.727013 | −3.16449 | 0.977408 | 0.0721367 |
0.3 | 0.527013 | −2.98620 | 0.970255 | 0.0779990 |
0.4 | 0.327013 | −2.80557 | 0.973148 | 0.0645101 |
0.5 | 0.127013 | −2.62791 | 0.986181 | 0.0315136 |
0.6 | 0.027013 | −2.47627 | 0.996330 | 0.0080868 |
K = 0.3 | ||||
0.2 | 0.727013 | −2.84154 | 0.978332 | 0.0721680 |
0.3 | 0.527013 | −2.71539 | 0.970797 | 0.0780346 |
0.4 | 0.327013 | −2.58351 | 0.973421 | 0.0645281 |
0.5 | 0.127013 | −2.45124 | 0.986266 | 0.0315166 |
0.6 | 0.027013 | −2.33454 | 0.996345 | 0.0080868 |