Viscous dissipation, Hall current and ion slip effects on an unsteady MHD flow over an inclined plate

Abstract

In this study, we have examined the effects of Hall current and ion slip on an unsteady MHD flow of a viscous, electrically conducting incompressible fluid over a porous medium bounded by an infinite inclined plate in the presence of viscous dissipation. Closed-form solutions are obtained for velocity, temperature, and concentration profiles using the regular perturbation technique. The effect of various non dimensional parameters such as Hall current (βe), Ion slip parameter(βi), Eckert number (Ec), Grashof number (Gr), Magnetic parameter(M), Modified Grashof number (Gm), Heat source parameter(Q), Dufour number (Du), Schmidt number (Sc), Permeability parameter (K), Radiation parameter(N), and Chemical Reaction parameter (ν), on velocity, temperature and concentration were discussed graphically. The results reveal that the Hall current increases velocity and decreases temperature by creating a secondary flow that reduces resistance and redistributes energy. In contrast, the ion-slip effect reduces velocity while increasing temperature due to increased resistance and internal energy dissipation.