<p>This study examines the thermal and entropic behaviors of magnetohydrodynamic natural convection in a permeable medium after considering various thermal boundary spacings and Rayleigh numbers. It explored the combined effects of buoyancy-driven convection, electromagnetic forces, and the properties of the porous medium to analyze heat transfer and entropy generation mechanism. A numerical method had been utilized, applying the Darcy–Brinkman model for fluid flow through the porous medium, along with the energy equations to incorporate the effect of magnetic force. The parametric analysis addressed a broad spectrum of Rayleigh numbers and spacing distance evaluating their effects on flow patterns, temperature distributions, and rates of entropy production. The results have shown significant transitions in flow regimes with increasing Rayleigh numbers, shifting from conduction to convection-dominated behaviors with magnetic forces influencing the intensity and configuration of these regimes. The spacing distance is critical in shaping the flow dynamics. Smaller spacings obstruct convective motion because of an increase in viscous damping, whereas larger spacings have helped in promoting stronger convection. The analysis of entropy has revealed the competing impact of heat transfer irreversibility, fluid friction together with magnetic effects gaining better results at a higher magnetic field strength.</p>