Influence of wall properties on the peristaltic flow of a dusty Walter’s B fluid

Abstract

This paper explores the impact of wall properties on the Walter’s B fluid with fine solid particles in a uniform channel. Traveling sinusoidal wave is imposed on the channel walls which induces peristaltic motion in the fluid. A regular series is employed to obtain analytic solution by taking small wave number. The phenomenon is modeled in the form of stream function for both fluid and solid particles. Impact of pertinent parameters such as viscoelastic parameter $$\kappa$$ , wave number $$\delta$$ , the elastic tension, i.e., rigidity of the wall (E1), the mass characterizing parameter, i.e., stiffness of the wall (E2) and the damping nature of the wall (E3) are discussed through graphs for both fluid and dust particles. It is observed that the size of the trapped bolus increases on the right-hand side of the channel for both fluid and solid particles by increasing viscoelastic parameter. The flow rate of fluid particles increases by increasing viscoelastic parameter, while it decreases for solid particles.