Analysis of heat transfer due to steady MHD flow in a porous channel with Navier slip and convective boundary

This paper investigates the flow and heat transfer characteristics of a magnetohydrodynamic fluid flow in a porous channel. Model equations are derived from the Navier-Stokes equation and the energy equation. The energy equation in this study incorporates viscous dissipation, internal heat generation/absorption, and Joule heating. By applying suitable transformations, the conservative momentum and energy equation are transformed into non-linear ordinary differential equations (ODEs). A closed form solution to the model equations was obtained. By taking into account characteristics like Biot number, Reynolds number, Brinkman number, Magnetic parameter, and others, the investigation on the normalized shear stress at the walls, temperature profiles were possible with aid of Tables and graphical presentations. For practical and engineering purposes, local Nusselt number, skin friction and mass flow rate of the physical constraints was tabulated. This gives important insights about the systems behavior under various settings. The graphical results indicate that the velocity profile exhibits a decrease as the magnetic parameter, Reynolds number and upper wall slip increase. Temperature decreases as Peclet number and slip parameters increase. Heat source/sink and Joule heating were observed to significantly influence the temperature field while the Biot number acts as a modifier in the temperature field as it dictates points of reversals near the convective wall.