Table 2 Effect of Tr on heat and mass transfer rate for Pr = 6.2, M = Br = Re = 1
α | M | Re | (1 − ϕ)− 2.5|f ' ' (−1)| | \( \left(1+\frac{4Tr}{3}\right)\frac{K_{\mathrm{nf}}}{K_{\mathrm{f}}}\left|{\theta}^{\prime}\left(-1\right)\right| \) | |χ ' (−1)| |
1 | 1 | −2 | 1.7367 | 1.1646 | 0.1347 |
−1 | 1.6334 | 0.3773 | 0.2222 | ||
1 | 2.2353 | 0.8153 | 0.5372 | ||
2 | 4.9848 | 6.6129 | 0.7577 | ||
3 | −2 | 1.8443 | 1.2178 | 0.1353 | |
−1 | 1.8065 | 0.3895 | 0.2230 | ||
1 | 2.7800 | 0.7700 | 0.5347 | ||
2 | 5.5159 | 6.6559 | 0.7537 | ||
5 | −2 | 1.9515 | 1.2731 | 0.1361 | |
−1 | 1.9750 | 0.4040 | 0.2237 | ||
1 | 3.2411 | 0.7600 | 0.5326 | ||
2 | 5.9635 | 6.7693 | 0.7504 | ||
−1 | 1 | −2 | 2.7219 | 2.6761 | 0.2813 |
−1 | 3.5276 | 0.7798 | 0.4696 | ||
1 | 7.5649 | 0.9732 | 0.9592 | ||
2 | 8.3928 | 7.2856 | 1.0967 | ||
3 | −2 | 2.1821 | 1.6000 | 0.2405 | |
−1 | 3.7173 | 0.7956 | 0.4704 | ||
1 | 7.7960 | 1.0016 | 0.9585 | ||
2 | 7.1262 | 5.3874 | 1.0068 | ||
5 | −2 | 1.8227 | 1.0240 | 0.2448 | |
−1 | 3.8999 | 0.8133 | 0.4712 | ||
1 | 8.0133 | 1.0304 | 0.9578 | ||
2 | 5.7594 | 3.5199 | 1.0006 | ||
Tr | ϕ | \( \left(1+\frac{4Tr}{3}\right)\frac{K_{nf}}{K_f}\left|{\theta}^{\prime}\left(-1\right)\right| \) | |χ ' (−1)| | ||
0.1 | 0 | 3.8648 | 0.5343 | ||
0.05 | 3.7882 | 0.5357 | |||
0.07 | 3.7766 | 0.5363 | |||
0.1 | 3.7751 | 0.5372 | |||
0.5 | 0 | 2.6586 | 0.5343 | ||
0.05 | 2.6138 | 0.5357 | |||
0.07 | 2.6081 | 0.5363 | |||
0.1 | 2.6003 | 0.5372 | |||
1 | 0 | 1.3910 | 0.5343 | ||
0.05 | 0.7962 | 0.5357 | |||
0.07 | 0.8011 | 0.5363 | |||
0.1 | 0.8153 | 0.5372 |