Laminar elastico-viscous flow through channels with porous walls of different permeability

The two-dimensional steady flow of an incompressible elastico-viscous fluid through a porous channel that has the fluid sucked or injected with different normal velocities V 1 and V 2 at the walls is considered. For the viscous case Terrill and Shrestha [2] have given a series solution for small suction Reynolds number. In this paper the solution of [2] is extended to include the effect of the elasticity of the fluid. It is found that the elasticity of the fluid comes into effect only when suction or blowing is present. The general expressions for the pressure distribution and the friction coefficient are given and are found to increase as the elastic parameter increases. Finally, the resulting solution is confirmed by numerical results.