Influence of Hall effects on peristaltic flow of a Carreau fluid in an asymmetric channel

Abstract

In this paper, the peristaltic flow of a Carreau fluid in an asymmetric channel under the long wavelength assumption is discussed in the presence of Hall. The flow is examined in a wave frame of reference moving with velocity of the wave. A regular perturbation technique is employed to solve the present problem and solutions are expanded in a power of small Weissenberg number. Expressions for the velocity, axial pressure gradient and pressure rise over a one wavelength are obtained. The effects of various emerging parameters on axial pressure gradient and pumping characteristics are discussed in detail.