Numerical simulation of double-diffusive natural convection in an enclosure in the presence of magnetic field with heat-conducting partition using lattice Boltzmann method

Abstract

In the present study, the effect of magnetic field on double-diffusive natural convection in an enclosure with heat-conducting partition is studied. Constant temperatures and concentrations are imposed along the left and right walls, and horizontal walls are insulated. The lattice Boltzmann method is used to solve the dimensionless governing equations. Streamlines, isotherms, isoconcentrations, and average Nusselt and Sherwood number for various values of thermal Rayleigh number (103 ≤ Ra ≤ 105), Hartmann number (0 ≤ Ha ≤ 100), the partition thickness (0.05 ≤ W ≤ 1.0), the partition location (0.25 ≤ Lx ≤ 0.75), partition length (0.25 ≤ Lf ≤ 1.0), magnetic field angle (0° ≤ ϕ ≤ 90°), and buoyancy ratio (− 5 ≤ N ≤ 5) are obtained. The results indicate that the heat and mass transfer mechanisms are influenced by Hartmann number. The flow pattern are significantly depend on the magnetic field angle. In addition, there is an optimal magnetic field angle of 90° at which the stable and maximum heat and mass transfer rates is obtained. Moreover, the correlations of the average Nusselt and Sherwood number are also fitted.