Hall and Rotational Effects on Steady MHD Natural Convection Couette Flow of a Heat Generating/Absorbing Fluid: An Analytical Approach
Keywords:
Magnetohydrodynamic (MHD) flow, porous medium, Suction/injection,Homotopy Perturbation Method (HPM),Incompressible electrically conducting fluid,Rotation, Hall effect.Abstract
This study presents an analytical investigation into the free convective flow of a viscous, incompressible, electrically conducting fluid within a vertical porous channel, considering the effects of Hall currents and an inclined magnetic field. The system is assumed to rotate uniformly about an axis perpendicular to the channel plates. The channel comprises a stationary plate and a moving plate in the flow direction, with regions filled with porous media. The governing coupled nonlinear differential equations are solved using the Homotopy Perturbation Method (HPM), yielding analytical expressions for velocity and temperature distributions. Results are illustrated through graphical representations, providing insights into the influence of various physical parameters on the flow behavior.Notably, both velocity and thermodynamic distributions of the fluid increase with higher viscous dissipation (Ec). Additionally, decreases with an increase in the magnetic field (M), whereas it increases with higher permeability of the porous materials (K). Furthermore, velocity and temperature distributions decrease with increased suction (λ₀).
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