Conjugate MHD natural convection in a square cavity with a non-uniform heat source thick solid partition

This paper aims to investigate the effect of a non-uniform internal volumetric energy generation on the conjugate MHD natural convection in a square cavity filled by an electrically conducting fluid. The uniform magnetic field is applied horizontally; the two horizontal and vertical left walls are thermally insulated, whereas the right vertical wall is kept at constant cold temperature. The governing conservation equations are solved numerically using an in house program based on the finite-volume method and the SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm. The effects of internal Rayleigh, Hartmann and Prandtl numbers, thermal conductivity ratio, inclination angle of the cavity, and the thickness of heat source partition are discussed. The obtained results show that regardless of K-r, alpha and Delta, an almost pure conduction state is observed for low Ra-I without MHD and for high Ra-I with MHD at high magnetic field intensity.

Automated summary

This study investigates the effect of non-uniform internal energy generation on MHD natural convection in a square cavity filled with electrically conducting fluid. Numerical simulations are conducted to discuss the impacts of various parameters, showing different conduction and MHD states under different conditions.