Interaction of peristaltic transport of a particle-fluid suspension with Poiseuille flow

A qualitative study of the effect of Poiseuille flow on the peristaltic transport of a particle-fluid suspension has been investigated in a two-dimensional mathematical model of peristalsis for the case when the wall of the channel executes a sinusoidal motion of small amplitude. The method of Frobenius series solution has been used to obtain a series solution for arbitrary values of Reynolds number and Poiseuille flow parameter. It is observed that the mean reversal flow is strongly dependent on the Poiseuille flow. Also, the effect of interaction is that the point of flow reversal is shifted from the center of the channel towards the boundaries.