Heat and Mass Transfer in MHD Flow about an Inclined Porous Plate

Abstract

In this study, we explore how mass and heat are transferred in magnetohydrodynamics (MHD) flow. MHD has several applications in Power Generation, Magnetohydrodynamic Pumps, Plasma and Fusion Research, Spacecraft Propulsion, Metal Casting and Materials Processing, Geophysics and Planetary Science. Our focus is on understanding the flow over an inclined plate positioned near a semi-infinite porous plate. To tackle this problem, we combine the laws of electromagnetism with the Navier-Stokes equations to develop a comprehensive MHD flow model. To analyse the behaviour of the flow, we transform the governing equations into a simpler, dimensionless form. Employing the Implicit finite centre difference, we obtain the numerical solutions for the equations. These solutions allow us to visualize the results through graphical representations. Our investigation delves into the effects of various parameters on the flow characteristics. Specifically, we examine the influence of the porosity parameter, magnetic strength parameter, and inclination angle. As we analyse these factors, we observe interesting trends. The velocity profiles in all directions exhibit a decreasing trend as porosity, magnetic field strength, and inclination angle increase. On the other hand, as the porosity, magnetic field strength, and surface inclination angle increase, we observe a notable augmentation in the temperature profiles.