Hydromagnetic flow of Casson fluid over a stretching plane through porous medium

Abstract The current investigation concentrates on the magnetohydrodynamic (MHD) effects of a steady Casson fluid flowing over a stretching sheet in the porous medium. A mathematical model for Casson fluid is developed in order to investigate the characteristics of non‐Newtonian fluid. The governing higher order nonlinear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using similarity transformation. The appropriate boundary conditions have been applied to generate analytical expressions of flow characteristics such as velocity and skin friction coefficient. Results are reported on specific cases of fluid velocity (horizontal/transversal) and skin friction coefficient. The skin friction coefficient, and the fluid flow characteristics, i.e., velocity profiles, are sketched for various values of the flow parameters, such as the Casson parameter, suction velocity, conductivity, and permeability parameter and analyzed. The velocity components are a decreasing function of the Casson parameter and electrical conductivity, whereas, the skin friction coefficient is an increasing function of permeability parameter. Deduced results validate the existing results.