Table 4 Numerical values of skin-friction coefficient (f ″(0)) and Nusselt number (θ′(0)) for different values of control parameters.
\(\beta\) | K | Gr | Ec | Pr | M | Nr | \(\theta_{w}\) | H | \(\phi_{1}\) | \(\phi_{2}\) | s | \(- R_{{e_{x} }}^{\frac{1}{2}} C_{fx}\) | \(R_{{e_{x} }}^{{\frac{ - 1}{2}}} Nu_{x}\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.1 | 0.1 | 0.3 | 0.1 | 0.7 | 0.2 | 0.2 | 1.1 | 0.1 | 0.02 | 0.02 | 0.1 | 0.0777193 | 1.0581736 |
1.2 | – | – | – | – | – | – | – | – | – | – | – | 0.3285653 | 1.0679864 |
1.3 | – | – | – | – | – | – | – | – | – | – | – | 0.5932094 | 1.0757930 |
– | 0 | – | – | – | – | – | – | – | – | – | – | 0.0655866 | 0.8414775 |
– | 0.1 | – | – | – | – | – | – | – | – | – | – | 0.0716423 | 0.8414398 |
– | 0.15 | – | – | – | – | – | – | – | – | – | – | 0.0746716 | 0.8414209 |
– | – | 0.1 | – | – | – | – | – | – | – | – | – | 0.1801700 | 0.8223483 |
– | – | 0.2 | – | – | – | – | – | – | – | – | – | 0.0661369 | 0.8287223 |
– | – | 0.3 | – | – | – | – | – | – | – | – | – | 0.0096727 | 0.8317369 |
– | – | – | 0.1 | – | – | – | – | – | – | – | – | 0.1801700 | 0.8223483 |
– | – | – | 0.3 | – | – | – | – | – | – | – | – | 0.1801579 | 0.8211763 |
– | – | – | 0.5 | – | – | – | – | – | – | – | – | 0.1801459 | 0.8200045 |
– | – | – | – | 0.1 | – | – | – | – | – | – | – | 0.0115632 | 0.3430460 |
– | – | – | – | 0.4 | – | – | – | – | – | – | – | 0.0527912 | 0.6839234 |
– | – | – | – | 0.9 | – | – | – | – | – | – | – | 0.0765798 | 0.9601067 |
– | – | – | – | – | 0.2 | – | – | – | – | – | – | 0.0661369 | 0.8287223 |
– | – | – | – | – | 0.6 | – | – | – | – | – | – | 0.0866545 | 0.8276831 |
– | – | – | – | – | 1 | – | – | – | – | – | – | 0.1056417 | 0.8267557 |
– | – | – | – | – | – | 0.1 | – | – | – | – | 0.0701105 | 0.8152293 | |
– | – | – | – | – | – | 0.5 | – | – | – | – | – | 0.0563071 | 0.8725772 |
– | – | – | – | – | – | 0.9 | – | – | – | – | – | 0.0465546 | 0.9339197 |
– | – | – | – | – | – | – | 1.1 | – | – | – | – | 0.0777193 | 1.0581736 |
– | – | – | – | – | – | – | 1.2 | – | – | – | – | 0.0759181 | 1.0159423 |
– | – | – | – | – | – | – | 1.3 | – | – | – | – | 0.0739262 | 0.9706931 |
– | – | – | – | – | – | – | – | 0 | – | – | – | 0.0687519 | 0.8784832 |
– | – | – | – | – | – | – | – | 0.2 | – | – | – | 0.0735019 | 0.9718093 |
– | – | – | – | – | – | – | – | 0.4 | – | – | – | 0.0777193 | 1.0581736 |
– | – | – | – | – | – | – | – | – | 0.03 | – | – | 0.0681963 | 0.8331914 |
– | – | – | – | – | – | – | – | – | 0.04 | – | – | 0.0703678 | 0.8376262 |
– | – | – | – | – | – | – | – | – | 0.05 | – | – | 0.0726554 | 0.8420298 |
– | – | – | – | – | – | – | – | – | – | 0.01 | – | 0.0678193 | 0.8330017 |
– | – | – | – | – | – | – | – | – | – | 0.03 | – | 0.0696515 | 0.8372399 |
– | – | – | – | – | – | – | – | – | – | 0.05 | – | 0.0716423 | 0.8414398 |
– | – | – | – | – | – | – | – | – | – | – | 0.1 | 0.0516429 | 0.7424399 |
– | – | – | – | – | – | – | – | – | – | – | 0.3 | 0.0661369 | 0.8287223 |
– | – | – | – | – | – | – | – | – | – | – | 0.5 | 0.08197858 | 0.9185217 |
