MHD Casson Fluid flow Past a Vertical Plate in the Presence of Heat Source/Sink, Viscous Dissipation and Mass Absorption

Abstract

A numerical investigation based on the finite difference method was conducted to examine the combined effects of mass absorption and viscous dissipation on unsteady magnetohydrodynamic (MHD) Casson fluid flow over a vertical plate embedded in a porous medium in the presence of a heat source/sink. The governing dimensionless, nonlinear, coupled partial differential equations describing the flow were solved numerically using the implicit Crank–Nicolson finite difference scheme. The influences of the governing flow parameters on the velocity, temperature, and concentration distributions were analyzed and presented graphically. The numerical results indicate that increasing the Casson parameter, mass absorption parameter, viscous dissipation parameter, and heat source parameter enhances both the velocity and temperature distributions. In contrast, an increase in the heat sink parameter suppresses fluid motion by reducing the velocity profile. Furthermore, higher values of the chemical reaction parameter and Schmidt number significantly diminish both the concentration and velocity distributions due to reduced species diffusion and weakened concentration-induced buoyancy effects. The findings of this study have potential applications in several engineering and biomedical fields, including glass manufacturing, petroleum refining, lubrication systems, paper production, and the analysis of blood flow in cardiovascular devices.