Buoyant Magneto‐Convection in an Internally Heated Anisotropic Porous Cavity With Sinusoidal Boundary Flux

ABSTRACT This study examines buoyancy‐driven magneto‐convection within an anisotropic porous cavity incorporating internal heat generation/absorption. The top and bottom boundaries are subjected to sinusoidal heat fluxes, whereas the vertical walls are thermally insulated. The flow and heat transfer behavior are numerically analyzed using the Darcy‐Brinkman extended model, implemented via FVM and the semi‐implicit method for pressure‐linked equations (SIMPLE) algorithm. The influence of key parameters, including the periodicity parameter, permeability ratio, thermal conductivity ratio, Hartmann number, internal heat generation/absorption, and orientation angle on the flow structure and heat transfer efficiency within the system is analyzed. The findings show that the cavity exhibits a multicellular convective pattern, where the anisotropic permeability tilt induces sinusoidal flow features near the thermally active walls. In contrast, a strong magnetic field () suppresses the flow circulation, and higher levels of internal heat generation/absorption lead to reduced heat transfer efficiency. The study is conducted for a steady, two‐dimensional, Darcy‐Brinkman model. This study could be beneficial for the solar collector designs, thermal management systems, setups for room ventilation, and electronic cooling applications.