The combined influences of heat transfer, compliant wall properties and slip conditions on the peristaltic flow through tube

Abstract

In this research, the peristaltic flow with heat transfer through the two-dimensional horizontal tube of compliant wall properties with slip at boundaries is analyzed analytically. An approximated theoretical model is constructed of spring-backed flexible compliant walls pipe, chosen to move as sinusoidal wave. Perturbation solution of the governing equations is obtained with small parameter e, which means the amplitude ratio, and defined as the ratio of wave amplitude divided by tube radius. The influence of several parameters of slip conditions, wall properties and heat transfer on the dynamics of the liquid through the tube is mathematically studied, resulting in relations describing the fluid flow behavior and the induced net flow rate under the various values of flow parameters as “liquid compressibility, slip flow factor, and wave number”, heat transfer parameter like Prandtl number, and elastic wall parameters such as “wall tension, wall damping coefficient, wall stiffness, and wall rigidity”. Graphs for net flow rate under the effect of pervious parameters are plotted. Results disclose that the parameters of tube wall features, compressibility of liquid, Knudsen number for wall slip, and heat transfer in the presence of peristaltic pumping have a significant effect on net flow rate induced. This research has numerous related applications in different branches of science such as biological studies for blood flow motion in living creatures and also in industry including simulation of induced elastic waves for fluid flow through a tube.