Authors: Dr Satish Kumar
Abstract: In this work, the three-dimensional MHD flow and the heat transfer of an incompressible viscous fluid through a porous medium with two parallel porous plates is studied. The top plate is kept at the same suction velocity and moves in the same direction along the longitudinal direction, and the lower stationary plate is kept at a transverse sinusoidal injection velocity. The plates are normally magnetically applied and the two plates are kept at different constant temperatures. The continuity, momentum, and energy equations for the medium are given by the magnetic field, permeability of a porous medium, suction/injection, and thermal buoyancy. This dimensional equation can be written in terms of the Hartmann number, suction/injection parameter, permeability parameter, Prandtl number, and Grashof number. The resulting nonlinear dimensionless equations are solved numerically using a finite difference scheme based on central and forward difference approximations. We use the numerical results to investigate the influence of the governing parameters on the velocity components and temperature distribution. The field effect of the magnetic field significantly influences the flow through the electromagnetic damping effect, and suction/injection of energy changes the velocity distribution in the porous region. The permeability of the porous medium generally enhances the fluid motion by decreasing the resistance of the porous matrix. The thermal field is strongly influenced by the Prandtl and Grashof numbers. The results provide insight into the coupled effects of the magnetic field, porous-medium resistance, wall transpiration, and thermal transport in 3D MHD flows through porous configurations.
DOI: https://zenodo.org/records/23011717
