Effects of hall currents on peristaltic transport with compliant walls

Abstract This paper describes the peristaltic transport under the effect of Hall currents in a channel having compliant boundaries. The fluid–solid interaction problem is investigated by considering equations of motion of both the fluid and the deformable boundaries. A perturbation solution of the stream function for zeroth, first and second in a small amplitude ratio is obtained. The phenomenon of the “mean flow reversal” is found to exist both at the center and at the boundaries of the channel. The effect of wall damping, wall tension, Hall parameter and Hartmann number on the mean axial velocity and reversal flow is investigated. The numerical results show that the flow reversal increases by increasing the wall damping and Hall parameter while it decreases by increasing the wall tension and Hartmann number.