MHD Casson Fluid Past an Exponentially Stretching Plane in a Porous Medium

This paper presents an analysis of magnetohydrodynamic (MHD) electrically conducting Casson fluid flow in a porous medium, incorporating the effects of viscous dissipation over an exponentially stretching sheet. The governing equation of motion is solved analytically, while the temperature profile is computed numerically using MATLAB's built-in function bvp4c. An asymptotic analysis on dimensionless stream function is also discussed for very large magnetic field and Casson parameters. The study shows that as the Casson parameter, magnetic field, suction, and permeability parameters increase, the horizontal velocity drops. In contrast, transverse velocity decreases with these factors, with the exception of suction, which has the inverse effect. The temperature rises as the Casson parameter and Eckert number grow, but the Prandtl number drops. Furthermore, the skin friction coefficient drops as the Casson parameter, magnetic field, and suction rise, but the Nusselt number decreases with the Casson parameter and Eckert number but increases with the Prandtl number. Finally, tabular data are supplied to compare the presented results with current literature. This research may be useful in optimizing heat and mass transport in engineering systems such as cooling technologies, polymer manufacturing, and chemical reactors.