Effects of porous boundaries on peristaltic transport through a porous medium

Peristaltic pumping by a sinusoidal traveling wave in the porous walls of a twodimensional channel filled with a viscous incompressible fluid through a porous medium is investigated theoretically and graphically. It has been considered that the fluid is entering the flow region through one plate at the same rate as it is leaving through the other plate. A perturbation solution is obtained, which satisfies the momentum equation for the case in which the amplitude ratio is small. It has been noticed that the mean axial velocity and the reversal flow increase by increasing the permeability parameter MI. The mean axial velocity and the reversal flow decrease by increasing V until at the upper quarter of the channel it increases by increasing W. Also, the fluid motion is nonsymmetric. Numerical results are reported for various values of the physical parameters of interest.