Effects of solid particles on fluid-particulate phase flow of non-Newtonian fluid through eccentric annuli having thin peristaltic walls

Abstract

The current theoretical and mathematical treatments deal with the occurrence of solid particles in the peristaltic stream of Jeffrey fluid traveling in an annular region of two eccentric tubes. The influence of porous space and magnetohydrodynamics is also taken into intent. The passage is considered inside the space between two annuli having different center lines. The smaller tube is taken to be hard, and the outer annulus is having elastic walls, producing waves along its linear orientation. The flow is considered to be incompressible by the supposition of small wave number and negligible turbulence effects. The obtained flow equations for dual phases have been handled by an analytical highly convergent approach. The results achieved for basic features have been sketched against corresponding coordinates beneath the variation of some pertinent parameters. It is mainly concluded from this study that solid particles are slowing down the flow with the increase in their quantity as well as their volume and also reduce the pumping rate. It is also point of consideration that solid particles are cause of increasing peristaltic pumping. Moreover, the trapping boluses are decreasing their numbers but expand their area by increasing amount of solid particles. The flow rate can be made better by continuously reducing the size of solid particles mechanically.