V3I6P18

Analysis of MHD Heat and Mass Transfer in a Microchannel with Viscous Dissipation and Linear Thermal Radiation Effects

Sanni Saudat^1*, Hussaini Abdullahi²

Abstract

This study examines magnetohydrodynamic (MHD) heat and mass transfer in a microchannel with viscous dissipation and linear thermal radiation effects. The governing nonlinear equations are nondimensionalized and solved numerically using an implicit finite difference scheme, while an analytical perturbation method is employed to validate the numerical results. The influence of key parameters on velocity, temperature, and concentration profiles is analyzed. Results indicate that buoyancy enhances fluid velocity, while magnetic effects suppress the flow. An increase in the Prandtl number reduces the thermal boundary layer thickness and enhances heat transfer, whereas viscous dissipation and thermal radiation elevate the fluid temperature. Increasing Schmidt number and chemical reaction parameter decrease concentration profiles. Skin friction rises with buoyancy but decreases with Casson and magnetic parameters. Heat transfer improves with Prandtl number but reduces with radiation, while mass transfer increases with Schmidt number and chemical reaction. These results are relevant to engineering applications involving non-Newtonian fluid flow.

Keywords:

Casson fluid, Magnetohydrodynamic (MHD), Natural convection, thermal radiation, chemical reaction