Poiseuille flow of a conducting Jeffrey fluid in a channel is investigated. The channel is bounded below by a finite deformable porous layer and bounded above by a stationary plate. 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, the volume fraction component of the fluid on the flow velocity, displacement, mass flux and shear stress are discussed. It is found that the velocity increases with the increase in the non-Newtonian Jeffrey parameter whereas the velocity decreases with the increase in the magnetic field parameter. Keywords: MHD; Poiseuille flow; Jeffrey fluid; Porous layer; permeable bed
