Peristaltic flow of a magnetohydrodynamic Oldroyd-B fluid in an asymmetric channel

Abstract

In this article, peristaltic flow of a magnetohydrodynamic Oldroyd-B fluid in an asymmetric channel with sinusoidal wave traveling down its wall is studied under the long wavelength and low Reynolds number considerations. This analysis can model the transport of chyme in small intestine and oesophagus. The analytical expressions for the stream function, the axial velocity, the pressure gradient are obtained. The influences of the Hartman number, the flow rate, the amplitude ratio of the upper and lower walls and the phase difference on the pressure gradient, the pressure rise per wavelength and axial velocity are discussed.