Table 5 Box–Behnken design with 5 center points is presented as real and coded values. Against each combination of parameters the response \(C_{fr} Re_{r}^{1/2}\), \(C_{{g\theta^{*} }} Re_{r}^{1/2}\) and \(\;Nu_{r} Re_{r}^{ - 1/2}\) is also presented.
Runs | Real values | Coded values | Response | ||||||
|---|---|---|---|---|---|---|---|---|---|
\(\phi\) | M | \(\omega\) | A | B | C | \(C_{fr} Re_{r}^{1/2}\) | \(C_{{g\theta^{*} }} Re_{r}^{1/2}\) | \(\;Nu_{r} Re_{r}^{ - 1/2}\) | |
1 | 0.01 | 1 | 3.5 | − 1 | 0 | 1 | 1.3293 | − 7.3007 | 1.2049 |
2 | 0.01 | 1 | 0.5 | − 1 | 0 | − 1 | − 0.5936 | − 0.9850 | 1.1126 |
3 | 0.05 | 1 | 2 | 0 | 0 | 0 | 0.0394 | − 4.2843 | 1.4555 |
4 | 0.09 | 0.5 | 2 | 1 | − 1 | 0 | 0.1402 | − 4.3083 | 1.7973 |
5 | 0.05 | 1 | 2 | 0 | 0 | 0 | 0.0394 | − 4.2843 | 1.4555 |
6 | 0.09 | 1 | 3.5 | 1 | 0 | 1 | 1.5428 | − 8.3151 | 1.8701 |
7 | 0.05 | 1 | 2 | 0 | 0 | 0 | 0.0394 | − 4.2843 | 1.4555 |
8 | 0.05 | 0.5 | 0.5 | 0 | − 1 | − 1 | − 0.5819 | − 0.9813 | 1.4215 |
9 | 0.05 | 1.5 | 0.5 | 0 | 1 | − 1 | − 0.6785 | − 1.1137 | 1.4122 |
10 | 0.09 | 1 | 0.5 | 1 | 0 | − 1 | 0.0477 | − 1.1202 | 1.7414 |
11 | 0.05 | 1 | 2 | 0 | 0 | 0 | 0.0394 | − 4.2843 | 1.4555 |
12 | 0.05 | 0.5 | 3.5 | 0 | − 1 | 1 | 1.5818 | − 7.3799 | 1.5442 |
13 | 0.05 | 1 | 2 | 0 | 0 | 0 | 0.0394 | − 4.2843 | 1.4555 |
14 | 0.05 | 1.5 | 3.5 | 0 | 1 | 1 | 1.2942 | − 8.1757 | 1.5144 |
15 | 0.09 | 1.5 | 2 | 1 | 1 | 0 | − 0.0362 | − 4.8294 | 1.7767 |
16 | 0.01 | 0.5 | 2 | − 1 | − 1 | 0 | 0.1169 | − 3.7739 | 1.1526 |
17 | 0.05 | 1 | 2 | 0 | 0 | 0 | 0.0394 | − 4.2843 | 1.4555 |
18 | 0.01 | 1.5 | 2 | − 1 | 1 | 0 | − 0.0450 | − 4.2551 | 1.1381 |
19 | 0.01 | 1 | 3.5 | − 1 | 0 | 1 | 1.3293 | − 7.3007 | 1.2049 |
