Effects of Magnetic Field on Fluid Flow and Heat Transfer in a Porous Medium Abstract: The interaction between magnetic fields and fluid flow in porous media has significant implications in engineering and geophysical applications. This study investigates

Abstract

The interaction between magnetic fields and fluid flow in porous media has significant implications in engineering and geophysical applications. This study investigates the stability and behavior of a conducting fluid saturating a porous medium under the influence of a uniform magnetic field. Using the Brinkman model, we analyze the onset of convection and the impact of thermal boundary conditions. The external magnetic field is aligned with gravity, and solutions are derived for different boundary conditions, including rigid-rigid, rigid-free, and free-free configurations. Additionally, the study explores the effect of thermal radiation and suction/injection on fluid dynamics over a permeable stretching wall. The findings provide insights into optimizing heat transfer processes in magnetohydrodynamic systems and contribute to advancements in industrial applications such as cooling technologies and metallurgical processes.