A mathematical study of hall effects on peristaltic transport of hydromagnetic flow through a porous medium

In this work a theoretical analysis is presented for the problem of peristaltic transport of a viscous electrically conducting fluid through a porous medium in a planar channel, in which the flow is induced by a sinusoidal wave traveling on the walls. This problem has numerous applications in various branches of science, including the stimulation of fluid flow in a porous medium under the effect of elastic waves and studies of bloodflow dynamics in living creatures. The effect of the Hall currents and the permeability of the medium on the mean axial velocity and the reversal flow have been investigated. A perturbation solution of the stream function for zeroth, first, and second order in a small amplitude ratio for the free pumping case is obtained. The results, for smaller values of the Hall parameter, show that the axial velocity decreases by increasing the Hall parameter and permeability parameter and the possibility of flow reversal increases by increasing the permeability parameter and decreases by increasing the Hall parameter