A semi-analytical investigation on the system of non-linear differential equations in MHD stagnation-point flow

Abstract

The Magnetohydrodynamic stagnation-point flow over a permeable stretching or shrinking sheet in a porous medium is investigated analytically, taking into account the effects of heat generation or absorption and velocity slip. Semi-analytical solutions for velocity and temperature fields are obtained by shifting the governing equations into a dimensionless form and resolving them via the Modified Homotopy analysis method. The accuracy of these responses is validated by comparing them to the numerical output, which confirms a high degree of consistency. Graphs are used to show how important parameters impact flow and heat transmission. To further illustrate the implications of different physical parameters, key physical quantities like the skin friction coefficient and Nusselt number are computed. This study supplies new insights into the complex boundary-layer encounters in MHD flows through porous materials via thermal and slip effects.