Numerical and analytical simulation of the peristaltic flow of Jeffrey fluid with Reynold's model of viscosity

Abstract

Purpose

The purpose of this paper is to study the effects of temperature‐dependent viscosity on the peristaltic flow of Jeffrey fluid through the gap between two coaxial horizontal tubes.

Design/methodology/approach

The inner tube is maintained at a temperature T₀0 and the outer tube has sinusoidal wave travelling down its wall and it is exposed to temperature T₁. The governing problem is simplified using longwave length and low Reynold number approximations. Regular perturbation in terms of small viscosity parameter is used to obtain the expressions for the temperature and velocity for Reynold' s models of viscosity. The numerical solution of the problem has also been computed by shooting method and an agreement of numerical solutions and analytical solutions had been presented. The expressions for pressure rise and friction force are calculated numerically.

Findings

Graphical results and trapping phenomenon are presented at the end of the paper to see the physical behaviour of different parameters.

Originality/value

The paper is a new and original work on the subject of peristaltic flows and heat transfer in Jeffrey fluid.

Citation

Sher Akbar, N. and Nadeem, S. (2012), "Numerical and analytical simulation of the peristaltic flow of Jeffrey fluid with Reynold's model of viscosity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 4, pp. 458-472. https://doi.org/10.1108/09615531211215756