Numerical simulation of magnetic field effect on natural convection in a porous cavity heating from below and salting from side

In this study, the effect of magnetic field on double-diffusive natural convection in a square cavity filled with a porous medium is studied numerically. The bottom wall is fully heated and the top wall is maintained at a constant cold temperature. The right wall is fully salted to a high concentration, while the left wall is fully salted at a lower concentration than the right. Darcy model is used for mathematical formulation. The governing equations for heat and mass transfer are solved using the finite volume method. The governing parameters of the present study are: Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N) and Hartman number (Ha). The numerical solutions were studied in the range of -10 ≤ N 10, 0 ≤Ha ≤10, while the other parameters were fixed with Ra = 100 and Le = 1. The results were discussed in the effect of these parameters on the heat and mass transfer processes and presented in terms of stream lines, isotherms and isoconcentrations. The variation of average Nusselt number and average sherwood number are presented in different values of governing parameters.