Table 6 ANOVA for skin friction coefficients (\(C_{fr}\), \(C_{g\theta *}\)) and the local Nusselt number (\(Nu_{x}\)) 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 |
|---|---|---|---|---|---|---|
\({\varvec{C}}_{{{\varvec{fr}}}} {\mathbf{Re}}_{{\varvec{r}}}^{{{\mathbf{1/2}}}}\) | ||||||
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 | ||
\({\varvec{C}}_{{{\varvec{g}}\theta \user2{*}}} {\mathbf{Re}}_{{\varvec{r}}}^{{{\mathbf{1/2}}}}\) | ||||||
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 | ||
\({\varvec{Nu}}_{{\varvec{r}}} {\mathbf{Re}}_{{\varvec{r}}}^{{ - {\mathbf{1/2}}}}\) | ||||||
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 | ||
