Analytical and numerical analysis of Vogel's model of viscosity on the peristaltic flow of Jeffrey fluid

In the present article, the effects of temperature-dependent viscosity on the peristaltic flow of Jeffrey fluid through the gap between two coaxial horizontal tubes was analyzed. The inner tube is maintained at a temperature T ₀, and the outer tube has sinusoidal wave travelling down its wall and is exposed to temperature T ₁. The governing problem is simplified using long-wave length and low Reynolds number approximations. Regular perturbation in terms of small viscosity parameter is used to get the expressions for the temperature and velocity for Vogel's models of viscosity. The numerical solution of the problem has also been computed by a 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. Graphical results and trapping phenomenon is presented at the end of the paper to see the physical behavior of different parameters.