Table 6.

ANOVA for skin friction coefficients ($C_{\mathit{fr}}$, $C_{g\theta \ast }$) and the local Nusselt number ($N{u}_x$) is presented, which includes the quantification and significance of considered linear, interaction, and square model terms.

Source	df	SS	Contribution (%)	MS	F-value	P-value
${\mathit{C}}_{\mathit{fr}}{\mathbf{Re}}_{\mathit{r}}^{\mathbf{1}/\mathbf{2}}$
Linear	3	7.2973	84.65	2.43242	1.30E + 02	< 0.001
Interaction	3	0.0549	0.64	0.0183	9.80E-01	0.449
Square	3	0.9691	11.24	0.32304	1.73E + 01	< 0.001
Residuals	8	0.1494	1.73	0.01868
Lack of fit	3	0.1494	1.73	0.0498	6.87E + 29	< 0.001
Pure error	5	0	0.00	0
${\mathit{C}}_{\mathit{g}\theta \mathbf{\ast }}{\mathbf{Re}}_{\mathit{r}}^{\mathbf{1}/\mathbf{2}}$
Linear	3	92.034	99.58	30.6779	2.03E + 05	< 0.001
Interaction	3	0.304	0.33	0.1012	6.70E + 02	< 0.001
Square	3	0.081	0.09	0.0269	1.78E + 02	< 0.001
Residuals	8	0.001	0.00	0.0002
Lack of fit	3	0.001	0.00	0.0004	5.78E + 26	< 0.001
Pure error	5	0	0.00	0
${\mathit{Nu}}_{\mathit{r}}{\mathbf{Re}}_{\mathit{r}}^{-\mathbf{1}/\mathbf{2}}$
Linear	3	0.85585	99.73	0.285284	1.25E + 05	< 0.001
Interaction	3	0.00045	0.05	0.000149	6.52E + 01	< 0.001
Square	3	0.00186	0.22	0.000622	2.73E + 02	< 0.001
Residuals	8	0.00002	0.00	0.000002
Lack of fit	3	0.00002	0.00	0.000006	1.41E + 26	< 0.001
Pure error	5	0	0.00	0