Optimization of Surface Drag Reduction Attribute of Non-Newtonian Nanofluids Flow Driven by Magnetic Dipole Enabled Curved Sheet

Response surface methodology predicts the best condition of the parameters that are critical in achieving desired goal and is the statistical analysis carried out to obtain the optimized conditions of parameters. The model for the examination is developed for the flow of Casson-Carreau nanofluids over stretched curved sheet swayed by the magnetic dipole. The sheet is liable to radiation and second-order slip and melting heat conditions is contemplated. The current study reveals that the velocity regime decreases with decreasing slip effects, and the ferrohydrodynamic interaction parameter increases with increasing slip effects. Additionally, the heat dissipation parameter influences the thermal profile. By response surface methodology analyzed on the skin friction coefficient reveals that histogram for the experimental runs is normally distributed and the \({R}^{2}\) $R^2$ is 100% promoting the accuracy of the model designed. Pareto chart has given the picture of 2.2 to be the critical point for the three parameters under consideration. The magnetic and porous parameters exhibit negative sensitivity at low and medium \({L}_{s1}\) $L_{s1}$ values, while at \({L}_{s1}=0.4\) $L_{s1}=0.4$ , they demonstrate no sensitivity or negligible sensitivity. The first-order slip parameter exhibits a positive sensitivity at low and medium concentrations, but a negative sensitivity at high concentrations of \(C\) $C$ .