Effects of Magnetic Field Direction and Strength on Square Lid-Driven Cavity Flow

In this study, the effects of strength and direction of a magnetic field on lid-driven cavity flow in a wide range of magnetic field strength variations (0 to 10 Tesla) are studied. The governing equations, including conservative equations of momentum, continuity and magnetic field were solved numerically. Momentum and continuity were solved by the finite volume method, using SIMPLE algorithm where the finite difference method was used for solving of magnetic field equation. In this research, the effects of magnetic field on the velocity distribution, streamlines, and vortex flow shows that the vortices of the cavity shrink up to 0.01 Tesla, where the uniform and vertical magnetic field was applied from the bottom surface. For the magnetic field of 0.01 Tesla, the vortices disappear. Higher values of magnetic field create larger vortices.