Analysis for Various Effects of Relaxation Time and Wall Properties on Compressible Maxwellian Peristaltic Slip Flow

Abstract

Abstract The present study is related to indicating the several effects of the relaxation time, dynamic behaviour of wall properties and slip conditions at the boundaries on the peristaltic locomotion of viscous non-Newtonian Maxwell fluid flow through a two-dimensional (2D) horizontal flexible sinusoidal wave-shaped channel. An approximated theoretical model is constructed. The solution of the governing equations is developed using the perturbation method. Small amplitude ratio “ratio between amplitude of the wave and half channel width” for the wavy transport is considered for describing the velocity and pressure distributions. Different factors of wall features such as damping force coefficient, wall tension parameter, wall bending coefficient and spring stiffness factor in addition to various flow parameters such as the compressibility factor, Reynolds number, slip coefficient and also the main parameter of interest relaxation time are involved in the mathematical calculations and discussed through graphical representation. Graphs for mean axial velocity, perturbation function and velocity at the wall distributions using the previous coefficients are plotted and then discussed in detail. Results indicate that wall properties, compressibility factor and relaxation time in the presence of peristaltic transport have a significant effect on velocity distributions. The damping factor, wall tension, slip parameter and relaxation time are reducing the mean axial velocity and raising the reversal flow but, the wall elasticity factor enhances the mean axial velocity. Also, the liquid compressibility has a strong effect on the dynamics of the flow.