Table 5.

Box–Behnken design with 5 center points is presented as real and coded values. Against each combination of parameters the response $C_{\mathit{fr}}R{e}_r^{1/2}$, $C_{g{\theta }^{\ast }}R{e}_r^{1/2}$ and $N{u}_{r}R{e}_r^{-1/2}$ is also presented.

Runs	Real values			Coded values			Response
	$\varphi$	M	$\omega$	A	B	C	$C_{\mathit{fr}}R{e}_r^{1/2}$	$C_{g{\theta }^{\ast }}R{e}_r^{1/2}$	$N{u}_{r}R{e}_r^{-1/2}$
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