Unsteady double diffusive convection in an inclined rectangular lid-driven enclosure with different magnetic field angles and non-uniform boundary conditions

Abstract

The effect of buoyancy ratio on an unsteady double diffusive natural convection flow in an inclined lid-driven enclosure with different magnetic field angles is studied. The enclosure is non-uniformly heated and concentrated from the bottom side and uniformly heated and concentrated from the left vertical side. The right vertical wall is insulated and the top wall is cooled. The top wall moves in the positive direction with a constant speed from left to right. The governing equations have been solved numerically using the staggered grid finite-difference method to obtain streamlines, isotherms, iso-concentrations, average Nusselt and Sherwood numbers for various values of the buoyancy ratio and different magnetic field angles for three different cavity inclination angles. The results indicate that the flow pattern, temperature and concentration fields are significantly depend on the magnetic field and cavity inclination angles. It was found that different angles of the magnetic field may suppress the convection flow and that the direction of the magnetic field influences the flow pattern. Computations of the average Nusselt numbers at the left hot wall are made and these compare favorably with previously published results. The change in streamline, isotherm and iso-concentration patterns with time is described here.