VISCOUS FLUID FLOW IN AN INCLINED CHANNEL WITH DEFORMABLE POROUS MEDIUM

In the present study, the viscous fluid flow in an inclined channel through deformable porous media bounded by moving parallel plates is investigated. The coupled phenomenon of fluid flow and deformation of porous materials is a problem of prime importance in biological applications. The present problem is modeled by considering the coupled phenomenon under the assumption that bounding walls of the channel are moving with different velocities U1 and U2 . The analytical solution is obtained for coupled governing equations. The expressions for the velocity field and solid displacement are derived. The influence of the volume fraction, the drag on the flow velocity and displacement are analyzed graphically. It is observed that the displacement increases with increasing drag, whereas the opposite behavior is noticed in the case of velocity. The effect of various pertinent parameters on the flow quantities are discussed through graphs and tables.