Effect of Peripheral Layer on Peristaltic Transport of a Micropolar Fluid

G Radhakrishnamacharya,K M Prasad

doi:10.15388/na.2009.14.1.14534

Abstract

Peristaltic transport of two fluid model with micropolar fluid in the core region and Newtonian fluid in the peripheral layer is studied under the assumptions of long wavelength and low Reynolds number. The linearised equations governing the flow are solved and closed form expressions for pressure rise, time averaged flux and frictional force have been obtained. The effects of various parameters on these flow variables have been studied. It is found that the pressure rise increases with micropolar parameter (m) and central mean radius (η), but decreases with coupling number (N) and viscosity ratio (µ¯). The frictional force (F¯) decreases with coupling number (N) and viscosity ratio (µ¯) but increases with micropolar parameter (m) and mean radius of central layer (η).

Highlights

Peristaltic transport is a form of fluid transport that occurs when progressive wave of area contraction or expansion propagates along the length of a distensible tube containing the liquid
Keeping the above in view, we considered the effect of peristalsis on flow of twolayered model with microploar fluid in the core region and Newtonian fluid in the peripheral layer
It can be seen that the pressure rise decreases as viscosity ratio (μ) increases (Fig. 3)

Summary

Introduction

Peristaltic transport is a form of fluid transport that occurs when progressive wave of area contraction or expansion propagates along the length of a distensible tube containing the liquid. It is realized that the model of micropolar fluid introduced by Eringen [14] serves as an appropriate model for blood (Ariman and Turk [15]) These fluids consist of rigid, randomly oriented (or spherical) particles suspended in a viscous medium where the deformation of particles is ignored. It is known that the viscosity of the fluid in the peripheral region is different from that in the core region in many vessels in physiological systems like vasomotion of some blood vessels, motion in ductus efferentes of the male reproductive tract, transport of spermatozoa in the cervical canal, transportation of chyme in the oesophagus (Misra and Pandey [13]). Keeping the above in view, we considered the effect of peristalsis on flow of twolayered model with microploar fluid in the core region and Newtonian fluid in the peripheral layer. The effects of various parameters on these flow variables have been studied

Mathematical formulation

Solution

Results

Conclusion