Table 2 Variation of \(Nu\left( {{\text{Re}}_{x} } \right)^{{ - \left( {{\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace} \!\lower0.7ex\hbox{$2$}}} \right)}}\) for distinct number of parameters.
\(\phi\) | \(\phi_{1}\) | \(\phi_{2}\) | \(\beta\) | \(\beta_{1}\) | \(\beta_{2}\) | \(\beta_{3}\) | \(\omega_{0}\) | \(\tau_{B}\) | \(m\) | \(R\) | \(\Pr\) | \(\xi\) | \(Nu\left( {{\text{Re}}_{x} } \right)^{{ - \left( {{\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace} \!\lower0.7ex\hbox{$2$}}} \right)}}\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.1 | 0.2 | 0.4 | 0.4 | 0.3 | 0.5 | 0.6 | 0.4 | 0.8 | 3.5 | 3 | 6.5 | 0.4 | − 0.003481 |
0.5 | − 0.002873 | ||||||||||||
0.9 | − 0.002553 | ||||||||||||
0.1 | 0.1 | 0.7 | 0.3 | 0.5 | 0.8 | 0.6 | 0.5 | 0.8 | 3.5 | 3 | 6.9 | 2.5 | 0.000182 |
0.2 | 0.000079 | ||||||||||||
0.3 | − 0.000018 | ||||||||||||
0.1 | 0.2 | 0.1 | 0.4 | 0.2 | 0.5 | 0.9 | 0.3 | 0.2 | 1.5 | 7 | 7.9 | 0.2 | − 3.237272 |
0.15 | 0.401806 | ||||||||||||
0.3 | 0.389120 | ||||||||||||
0.3 | 0.1 | 0.8 | 0.1 | 0.2 | 0.5 | 0.5 | 0.2 | 0.3 | 1.5 | 3 | 8.6 | 0.2 | − 0.000146 |
0.4 | − 0.000122 | ||||||||||||
0.9 | − 0.000072 | ||||||||||||
0.3 | 0.1 | 0.8 | 0.4 | 0.1 | 0.5 | 0.5 | 0.2 | 0.3 | 1.5 | 3 | 7.6 | 0.2 | − 0.000119 |
0.4 | − 0.000178 | ||||||||||||
0.9 | − 0.000277 | ||||||||||||
0.3 | 0.1 | 0.8 | 0.4 | 0.5 | 1.5 | 0.5 | 0.2 | 0.7 | 1.5 | 3 | 9.5 | 0.2 | − 0.000157 |
3.5 | − 0.000157 | ||||||||||||
5.5 | − 0.000157 | ||||||||||||
0.3 | 0.1 | 0.8 | 0.4 | 0.5 | 0.9 | 0.1 | 0.2 | 0.7 | 1.5 | 3 | 9.6 | 0.2 | − 0.000093 |
0.5 | − 0.000155 | ||||||||||||
0.9 | − 0.000217 | ||||||||||||
0.3 | 0.2 | 0.3 | 0.4 | 0.2 | 0.5 | 0.7 | 0.1 | 0.3 | 1.5 | 3 | 7.9 | 0.2 | − 0.167494 |
0.5 | − 0.169079 | ||||||||||||
0.7 | − 0.173604 | ||||||||||||
0.3 | 0.2 | 0.3 | 0.4 | 0.2 | 0.5 | 0.7 | 0.3 | 0.1 | 1.5 | 3 | 9.2 | 0.2 | 0.293082 |
0.5 | 0.221934 | ||||||||||||
0.7 | 0.188009 | ||||||||||||
0.2 | 0.4 | 0.8 | 0.4 | 0.5 | 0.9 | 0.5 | 0.2 | 0.1 | 0.1 | 3 | 7.6 | 0.2 | − 0.001668 |
0.5 | − 0.001287 | ||||||||||||
0.9 | − 0.001019 | ||||||||||||
0.1 | 0.2 | 0.5 | 0.4 | 0.5 | 0.6 | 0.8 | 0.2 | 0.9 | 1.5 | 1.5 | 8.3 | 0.3 | − 19.405058 |
7.5 | − 11.060991 | ||||||||||||
9.5 | − 3.075276 | ||||||||||||
0.3 | 0.1 | 0.8 | 0.4 | 0.5 | 0.9 | 0.5 | 0.2 | 0.7 | 1.5 | 3 | 6.6 | 0.2 | − 0.000230 |
7.6 | − 0.000198 | ||||||||||||
8.6 | − 0.000174 | ||||||||||||
0.3 | 0.1 | 0.8 | 0.4 | 0.5 | 0.9 | 0.5 | 0.2 | 0.1 | 2.5 | 3 | 9.6 | 0.1 | − 0.000087 |
0.5 | − 0.000085 | ||||||||||||
0.9 | − 0.000079 |