Table 5 Numerical outcomes of Nuesslt number and Skin fraction for Cu-water and Al2O3-water.
Nanofluid | Cu-water | Al2O3-water | |||||
---|---|---|---|---|---|---|---|
\(- ({\text{Re}} )^{ - 0.5} C_{{F_{x} }}\) | \(- ({\text{Re}} )^{ - 0.5} C_{{G_{y} }}\) | \(({\text{Re}}_{x} )^{0.5} Nu\) | \(- ({\text{Re}} )^{ - 0.5} C_{{F_{x} }}\) | \(- ({\text{Re}} )^{ - 0.5} C_{{G_{y} }}\) | \(({\text{Re}}_{x} )^{0.5} Nu\) | ||
\(R_{i}\) | 0 | 0.9865580 | 0.4939604 | 0.6692664 | 0.9640008 | 0.4829222 | 0.6943682 |
0.5 | 0.9001704 | 0.3948557 | 0.7593171 | 0.8778813 | 0.3844143 | 0.7814454 | |
1 | 0.8197464 | 0.3044374 | 0.8358658 | 0.7975616 | 0.29430146 | 0.8561931 | |
\(\beta_{H}\) | 0 | 0.9355860 | 0.4336869 | 0.7219442 | 0.91322970 | 0.4217813 | 0.7449328 |
0.5 | 0.9331802 | 0.4328937 | 0.7253545 | 0.9107874 | 0.4222625 | 0.7484524 | |
1.5 | 0.93121469 | 0.4324361 | 0.7295306 | 0.9087326 | 0.4230885 | 0.7527689 | |
\(\beta_{i}\) | 0 | 0.9341973 | 0.4338658 | 0.7228813 | 0.9118499 | 0.4232733 | 0.7458963 |
0.5 | 0.9339545 | 0.4332610 | 0.7245269 | 0.9115951 | 0.4226431 | 0.7475991 | |
1 | 0.9335255 | 0.4324607 | 0.7266412 | 0.9111454 | 0.4218090 | 0.7527689 | |
\(S_{t}\) | 0.3 | 0.9203101 | 0.4187136 | 1.2566311 | 0.8979185 | 0.4080877 | 1.2806838 |
0.5 | 0.9340502 | 0.4334810 | 0.7239328 | 0.9116955 | 0.4228723 | 0.7469843 | |
0.7 | 0.9478330 | 0.4483019 | 0.1924017 | 0.9255152 | 0.4377101 | 0.2144482 | |
\(A_{1}\) | 0 | 0.9356342 | 0.4354722 | 0.7627998 | 0.9133078 | 0.4248912 | 0.7860117 |
0.3 | 0.9332574 | 0.4324850 | 0.7044834 | 0.9108885 | 0.4218625 | 0.7274547 | |
0.5 | 0.9316704 | 0.4304922 | 0.6655528 | 0.9092732 | 0.4198421 | 0.6883641 | |
\(B_{2}\) | 0 | 0.9357673 | 0.4357486 | 0.7678840 | 0.9133781 | 0.4250859 | 0.7902936 |
0.3 | 0.9340502 | 0.4334810 | 0.7239323 | 0.9116947 | 0.4228723 | 0.7469843 | |
0.5 | 0.9327555 | 0.4317705 | 0.693078 | 0.9104283 | 0.4212042 | 0.7166186 |