Magnetohydrodynamics of couple stress Casson fluid flow in a channel with stretching wall in the presence of dissipative and radiative heat transfer

Abstract This paper investigates the unsteady magnetohydrodynamic flow of a couple stress Casson fluid between two parallel sheets where the heat transfer mechanism is incorporated with the influences of heat radiation, viscous dissipation, and Joule heating. The fluid flow is induced due to bi‐directional stretching of the lower sheet of the channel. The mathematical model of the physical problem is governed by highly nonlinear coupled partial differential equations with boundary conditions that are then transformed into highly nonlinear ordinary differential equations with boundary conditions using well‐defined similarity variables. The authors have used the well‐known computational technique called the spectral successive linearization method (SLM) to solve the obtained ordinary differential equations subject to the boundary conditions. Graphs and tables show the effects of non‐dimensional parameters on the important physical quantities such as the velocity and temperature profiles, and coefficients of skin‐frictions and heat transfer. The quadratic regression method is used to perform statistical analysis of Nusselt number and skin friction coefficients. The present investigation has significant applications in different problems of biomedical engineering, clinical sciences, industrial manufacturing processes, and so forth.