Interaction of peristaltic flow with pulsatile magneto-fluid through a porous medium

The interaction of purely periodic mean flow with a peristaltic induced flo w is investigated within the framework of a two-dimensional analogue. The m athematical model considers a viscous incompressible fluid under the effect of a transverse magnetic field through a porous medium between infinite pa rallel walls on which a sinusoidal traveling wave is imposed. A perturbatio n solution to the complete set of Navier-Stoles equations is found for the case in which the frequency of the traveling wave and that of the imposed p ressure gradient are equal. The ratio of the traveling wave amplitude to ch annel width is assumed to be small. For this case a first-order steady flow is found to exist, as contrasted to a second-order effect in the absence o f the imposed periodic pressure gradient. The effect of the magnetic parame ter, permeability parameter and the various parameters included in the prob lem are discussed numerically.