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.O...