Sensitivity analysis of nonlinear radiated heat transport of hybrid nanoliquid in an annulus subjected to the nonlinear Boussinesq approximation

The main emphasis of the current study is to analyze the novel feature of the quadratic convective and nonlinear radiative flow of MHD hybrid nanoliquid (Cu–Al2O3–H2O) in an annulus with sensitivity analysis. The significance of exponential space-related heat source, movement of annuli and a new radiation parameter corresponding to an asymptotic nature are also comprehended in the existing study. The dimensionless governing nonlinear equations are treated numerically by employing shooting technique. Impact of effective parameters on the flow and heat transport features has been scrutinized. The optimization procedure is implemented to analyze the influence of three effective parameters $$\left( {1.5 \le R_{\mathrm{f}} \le 5.5,\; 1 \le Q_{\mathrm{E}} \le 3\;{\mathrm{and}}\; 1\% \le \phi_{\mathrm{Cu}} \le 3\% } \right)$$ on skin friction and Nusselt number by utilizing response surface methodology and sensitivity analysis. The obtained results portray that the nonlinear convection parameter is more favorable for the skin friction coefficient. Further, a comparison of sensitivity depicts that the skin friction coefficient is more sensitive to $$R_{\mathrm{f}}$$ and $$Q_{\mathrm{E}}$$ , whereas Nusselt number is more sensitive to $$\phi_{\mathrm{Cu}}$$ .