Transverse magnetic field’s impact on mixed convection flow of an exothermic fluid over a porous material-filled channel

Abstract

This study examines the influence of transverse magnetic field on a steady/constant mixed convection flow of an exothermic fluid down a vertical channel filled with porous material that has symmetric wall temperature and symmetric wall concentration. However in order to achieve that, the Differential Transformation Method (DTM) was used to solve the resulting systems of governing equations analytically, for a variety of physical factors, including magnetic number (M), porous material (Da), mixed convection parameter (), constant pressure gradient(), Frank-Kamenetskii parameter(K) and sustention parameter (N). After the governing equations were obtained and analyzed, it was concluded from the result that increase in magnetic field can significantly leads to the decrease in the velocity of the fluid. By showing an increase in symmetric wall temperature and concentration, the lower and upper plates also showed the increase in the least and most of the flow velocity, temperature and concentration. The impacts of skin friction, Sherwood number and Nusselt number have also been examined; the graphical result indicates that a decrease in skin friction of the channel wall occurs as the magnetic field number increases.