Regular Article

Flow analysis of particulate suspension on an asymmetric peristaltic motion in a curved configuration with heat and mass transfer

¹ Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad, Pakistan
² Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, PR China

^* e-mail: ahmad.zeeshan@iiu.edu.pk

Received: 31 October 2017
Accepted: 9 April 2018

Abstract

This article addresses the influence of particulate-fluid suspension on asymmetric peristaltic motion through a curved configuration with mass and heat transfer. A motivation for the current study is that such kind of theory is helpful to examine the two-phase peristaltic motion between small muscles during the propagation of different biological fluids. Moreover, it is also essential in multiple applications of pumping fluid-solid mixtures by peristalsis, i.e., Chyme in small intestine and suspension of blood in arteriole. Long wavelength, as well as small Reynolds number, have been utilized to render the governing equations for particle and fluid phase. Exact solutions are presented for velocity (u_f,p), temperature (θ_f,p) and concentration distributions (φ_f,p). All the parameters such as Prandtl number (P_r), particle volume fraction (C), suspension parameter (M₁), curvature parameter (k), volumetric flow rate (Q), Schmidt number (S_c), phase difference (φ), Eckert number (E_c), and Soret number (S_r) discussed graphically for peristaltic pumping (Δp), pressure gradient (dp/dx), velocity (u_f,p), temperature (θ_f,p) and concentration distributions (φ_f,p). The streamlines are also plotted with the aid of contour.