MAGNETOHYDRODYNAMICS FLOW IN DOUBLE-LID L-SHAPED CAVITY WITH LOCAL REFINEMENT

This study presents new insights into structures of magnetohydrodynamics flow in a double lid-driven L-shaped cavity under an oriented magnetic field. The governing equations are presented using the stream functionvorticity approach and solved numerically. Radial basis function-finite difference method utilizing polyharmonic splines is proposed to achieve local refinement. Flow topologies are examined for problem parameters, including the inclination angle, Hartmann number, and Reynolds number. The results indicate that as the strength of the magnetic field increases, the Lorentz force becomes the dominant factor, making the impact of the Reynolds number on flow negligible. The strength and inclination angle of the magnetic field play crucial roles in influencing the flow structure by altering the number, position, and type of critical points.