MHD Couette Flow of a Jeffrey Fluid over a Deformable Porous Layer

Couette flow of a conducting Jeffrey fluid in a channel is investigated. The channel is bounded below by a finite deformable porous layer and by a moving rigid plate in the presence of magnetic field. The governing equations are solved in the free flow and porous flow regions. The expressions for the velocity field and solid displacement are obtained. The effects of the Jeffrey parameter, magnetic field parameter, viscosity parameter, upper plate velocity and the volume fraction component of the fluid on the flow velocity and displacement, mass flux and shear stress are analyzed graphically. It is found that the velocity increases with the increase in the non-Newtonian Jeffrey parameter, on the contrary the velocity decreases with the increase in the magnetic field parameter.