Buoyancy Convection in a Square Cavity with Parallel Heaters Under Magnetic Field

Buoyancy-driven convection in a square cavity induced by heated thin plates with arbitrary length is studied numerically. The hydrodynamics and thermal behavior of the flow are examined numerically using the two-phase mixture model and the finite volume method. Comparisons with previously published numerical works on natural convection in a cavity show excellent agreements between the results. For a given Rayleigh number and Hartman number, the effects of hot fins on the hydrodynamics and thermal parameters are presented and discussed. The steady-state results are depicted in terms of streamline and isotherm plots. It is found that the resulting convection pattern is stronger for the isothermal boundary condition. A better overall heat transfer can be achieved by placing horizontal heaters in symmetric configuration.