Quadratic regression model for response surface methodology based on sensitivity analysis of heat transport in mono nanofluids with suction and dual stretching in a rectangular frame

The study of fluid flow and heat transfer within a rectangular frame domain has diverse applications across various engineering fields, including energy and power, cooling technology, and nuclear reactors. Motivated by these applications, the current research examines the steady incompressible flow of two different mononanofluids: copper/ethylene glycol–water and titanium dioxide/ethylene glycol–water, within a rectangular frame. The dynamics of the flow, influenced by magnetohydrodynamics (MHD) effects and thermal radiation, are presented. The analysis includes the effects of suction and dual stretching behavior. Additionally, statistical analysis has been conducted to highlight skin-friction characteristics. The dimensionless system of equations has been solved numerically with the help of a numerical shooting scheme. Additionally, experimental design (response surface methodology) and sensitivity are performed for skin frictions. The rheological effects of the relevant parameters against subjective fields are analyzed through graphical representation.