Peristaltic Pumping of Johnson-Segalman Fluid in an Asymmetric Channel under the Effect of Hall and Ion-Slip Currents

Kh Nowar E Abo-Eldahab,E Barakat

doi:10.4172/2168-9679.1000102

Abstract

The influences of Hall and ion-slip currents on peristaltic transport of Johnson-Segalman fluid in an asymmetric channel are investigated theoretically and graphically. The problem is formulated using a perturbation method. The solutions have been derived for axial velocity, axial pressure gradient and pressure rise. It has been noticed that the axial pressure gradient is not affected by increasing any of Hall or ion-slip parameters, while the time average flux decreases by increasing any of them. The effects of various emerging parameters on the axial pressure gradient and the pumping characteristics are discussed and plotted.

Highlights

Peristaltic pumping is a special kind of transport, in which, physiological fluids may be pumped from one place in the body to another place
The aim of this paper is to investigate the effect of Hall and ionslip currents on peristaltic transport of a Johnson-Segalman fluid in an asymmetric channel
Further it is observed that the axial pressure gradient is more for Johnson-Segalman fluid (0 < Wi < 1) than that of Newtonian fluid (Wi = 0)

Summary

Introduction

Peristaltic pumping is a special kind of transport, in which, physiological fluids may be pumped from one place in the body to another place. Intense research on peristalsis has been done and is still demanded because of its useful applications. Such applications include enhanced oil recovery, chemical processes such as in distillation towers and fixed-bed reactors, urine transport from kidney to bladder through the ureter, transport of lymph in the lymphatic vessels, swallowing food through the esophagus, the movement of chyme in the gastrointestinal tract, ovum movement in the fallopian tube, transportation of spermatozoa in the ductus efferentes of the male reproductive tracts, in the vasomotion of small blood vessels, in sanitary fluid transport, and blood pumps in heart lung machine. Peristaltic pumping occurs in many practical applications involving bio-mechanical systems. Most prior studies of peristaltic transport have focused on Newtonian fluids, there are studies involving nonNewtonian fluids [12,13,14,15,16,17,18,19,20] i.e. fluids in which the relation between shear stress and shear rate is not linear

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