Transient MHD Flow Between Parallel Plates with Influence of Periodic Magnetic Field and Periodic Heat Flux

Abstract

This study employs a theoretical approach to examine the impact of a periodic magnetic field on MHD flow between two infinitely parallel horizontal plates via a porous medium. A periodic magnetic field is imposed in a direction normal to the plates when there is a constant pressure gradient. A periodic flow of heat is used to warm the upper plate, while the lower plate is kept at a constant temperature. To get numerical solutions to the governing partial differential equations, the finite difference approach is employed. Furthermore, an approach known as " Eigen function expansion " is used to solve the equations analytically. Here, we provide a visual depiction and accompanying discussion of the ways in which different variables affect the flow velocity and temperature fields.