Heat transfer in MHD convective stagnation point flow over a stretching surface with thermal radiations

Abstract

In this study, we have conducted an analysis of steady, incompressible, and magnetohydrodynamic (MHD) Casson fluid flow over a stretching sheet. The primary focus of this research is to investigate the effects of thermal radiation and velocity slip along a stretching sheet. The governing equations for this study are a system of Partial Differential Equations (PDEs) that converted to the Ordinary Differential Equations (ODEs) using similarity transformations. To solve these equations, we have employed the RK–Fehlberg method for solving ordinary differential equations. Governing equations are discretized using the RK–Fehlberg method, and the resulting system of algebraic equations is solved iteratively. These simulations have been conducted under various flow and heat transfer conditions, including variations in the convective number, Prandtl number, and diffusion parameter. The analysis of our results reveals several important findings. Increasing the chemical reaction parameter has been found to reduce the thickness of the concentration boundary layer, while an increase in the Schmidt number leads to an expansion of this boundary layer. These findings are critical for understanding heat transfer in stagnation point flow over a stretching sheet, and they encompass aspects such as temperature distribution, heat transfer rates, boundary layer characteristics, velocity profiles, and the potential for implementing heat transfer enhancement techniques.