Analytical Investigation on Steady MHD‐Free Convection Couette Flow of Heat Generating Fluid Through a Vertical Channel

This study provides an analytical investigation on steady magnetohydrodynamic (MHD)‐free convection Couette flow of heat‐generating fluid through a vertical channel. The coupled nonlinear differential equations describing the system were solved analytically using Homotopy Perturbation Method. The research examines the influence of various flow parameters, including the Eckert number, magnetic field strength, heat generation/absorption, Prandtl number, and Grashof number. Comprehensive analyses and physical interpretations are presented. The findings showed that fluid velocity and temperature decrease with an increase in magnetic field strength, while higher Eckert numbers led to an increase in both velocity and temperature. Furthermore, the rate of heat transfer decreases at the moving plate but increases at the stationary plate with rising viscous dissipation, magnetic field strength, and Grashof number.