Numerical simulation of double diffusive natural convection in rectangular enclosure in the presences of magnetic field and heat source

Double-diffusive convective flow in a rectangular enclosure with the upper and lower surfaces being insulated and impermeable is studied numerically. Constant temperatures and concentration are imposed along the left and right walls of the enclosure. In addition, a uniform magnetic field is applied in a horizontal direction. Laminar regime is considered under steady state condition. The transport equations for continuity, momentum, energy and spices transfer are solved. The numerical results are reported for the effect of thermal Rayleigh number, heat generation or absorption coefficient and the Hartmann number on the contours of streamline, temperature, and concentration as well as the dimensionless density. In addition, the predicted results for the average Nusselt and Sherwood numbers are presented and discussed for various parametric conditions. This study was done for constant aspect ratio A=2, Lewis number Le=1 and Prandtl number Pr=0.7. The study covers ranges for 103⩽RaT⩽106, 0⩽Ha⩽200, −50⩽ϕ⩽25 and −10⩽N⩽10.