• THE INFLUENCE OF WALL PROPERTIES ON PERISTALTIC TRANSPORT OF DUSTY FLUID THROUGH POROUS MEDIUM

Abstract

This paper investigates peristaltic transport of a dusty fluid (Saffman’s model) through a Porous Medium in a two-dimensional uniform channel and the elasticity of the channel’s flexible walls was studied under long wavelength approximation. Perturbation solutions were obtained for the stream functions of both the fluid particles and solid particles, in terms of the wall slope parameter. The expressions for average velocity of the fluid particles and solid particles, and average fluid flow rate were derived. The effects of various elastic parameters and mass concentration of dust particles on the streamline pattern and average fluid flow rate were studied. The phenomenon of trapping was observed and the area of the trapped bolus increased along with the tension parameter and permeability of the porous medium, but decreased with damping, mass concentration of dust particles.