Investigating the Magnetohydrodynamic Convection of Viscous Fluid in Porous Media With the Effect of Heat Loss and Velocity Slip

The reaction of fluids becomes more complicated when magnetic fields, heat transfer, and porous materials are involved as applied in thermal systems, heat exchangers, engineering devices, and others. Thus, this study investigates convective magnetohydrodynamic (MHD) viscous flow through a porous medium, focusing on how boundary slip and thermal energy loss influence fluid motion and heat transport. This research examines the combined effects of magnetic forces, porous structures, and slip conditions, highlighting the importance in the design and optimization of thermofluid systems. With the help of similarity transformations, the governing nonlinear equations are reduced and solved numerically using a shooting algorithm integrated with a fourth‐order Runge–Kutta procedure. The key parameters include magnetic intensity, viscous dissipation, and permeability of the porous medium which significantly affect the resulting velocity and temperature distributions. The findings demonstrate that adjusting slip conditions and heat‐loss mechanisms provides a practical approach for controlling convective MHD transport in porous environments. The results are relevant to applications such as cooling of high‐temperature devices, geothermal energy systems, enhanced oil recovery, and magnetically influenced heat‐exchange technologies.