Table 2 Comparison of the values of \({C}_{f}{{Re}_{x}}^\frac{1}{2}\) and \({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\) with distinct models of viscosity.
\(\beta\) | \(n\) | \(\delta\) | Einstein model27 | Brinkman Model28 | Present Result | |||
|---|---|---|---|---|---|---|---|---|
\({C}_{f}{{Re}_{x}}^\frac{1}{2}\) | \({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\) | \({C}_{f}{{Re}_{x}}^\frac{1}{2}\) | \({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\) | \({C}_{f}{{Re}_{x}}^\frac{1}{2}\) | \({Nu}_{x}{{Re}_{x}}^{-\frac{1}{2}}\) | |||
0.5 | 0.5 | 0.3 | − 2.9138 | 0.79975 | − 2.9162 | 0.79986 | − 2.8734 | 0.79798 |
1.0 |  |  | − 2.3959 | 0.77193 | − 2.3979 | 0.77206 | − 2.3630 | 0.76970 |
1.5 |  |  | − 2.1956 | 0.75723 | − 2.1974 | 0.75738 | − 2.1656 | 0.75478 |
|  | 0.6 |  | − 3.0768 | 0.77462 | − 3.0794 | 0.77473 | − 3.0337 | 0.77281 |
|  | 0.9 |  | − 3.5203 | 0.70623 | − 3.5233 | 0.70634 | − 3.4700 | 0.70432 |
|  | 1.1 |  | − 3.7869 | 0.66531 | − 3.7902 | 0.66542 | − 3.7324 | 0.66335 |
|  |  | 0.5 | − 2.9799 | 0.83586 | − 2.9823 | 0.83596 | − 2.9395 | 0.83405 |
|  |  | 0.6 | − 3.0134 | 0.85422 | − 3.0158 | 0.85433 | − 3.0130 | 0.85241 |
|  |  | 0.7 | − 3.0472 | 0.87279 | − 3.0496 | 0.87290 | − 3.0069 | 0.87096 |