Effects of Slip Conditions on Unsteady MHD Flow of Viscoelastic Fluids in a Porous Channel with Heat and Mass Transfer

Abstract

This paper investigates the impact of slip conditions on the unsteady magnetohydrodynamic (MHD) flow of incompressible viscoelastic fluids in a porous channel. The study considers the influence of a transverse magnetic field, Hall current, and heat and mass transfer. The channel flow is driven by an oscillatory external pressure gradient. Using a perturbation technique, the governing equations for velocity, temperature, and concentration distributions are solved. The analysis includes results for skin friction, the Nusselt number, and the Sherwood number, with numerical computations of skin friction presented in tabular form. Graphical representations illustrate the effects of key flow parameters on fluid behavior, heat and mass transfer, and skin friction. The results highlight how physical parameters influence the system, and the solutions for Newtonian fluids are retrieved as a special case by setting the viscoelastic parameter to zero.