The Effects of Wall Properties on Peristaltic Transport of a Dusty Fluid

Abstract

The interaction between peristaltic transport of a dusty fluid (Saffman’s model) in a 2-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 flow rate were studied. The phenomenon of trapping was observed and the area of the trapped bolus increased along with the tension parameter, but decreased with damping and mass concentration of dust particles.