Transient Free Convection MHD Flow Between Two Vertical Walls with One Wall Moving in the Presence of Induced Magnetic Field and Heat Sink

Free convection in real fluids has been studied extensively due to its widespread applications in industry and geophysics. Most of these studies have focused on the effects of different fluid dynamical processes and flow geometry on the ensuing flow. The objective of this paper is to study the transient free convection flow of an electrically conducting, viscous, incompressible fluid between two vertical walls, with one wall moving, in the presence of induced magnetic field and heat sink is considered. A uniform external magnetic field is applied normal to the walls. The governing non-dimensional equations are solved numerically using Matlab. Effects of non-dimensional parameters such as Hartmann number, Prandtl number, Magnetic Prandtl number, Buoyancy distribution parameter, heat sink parameter and the wall parameter over the velocity, induced magnetic field and temperature distribution have been discussed with the help of graphs.