Metachronal wave analysis for non-Newtonian fluid inside a symmetrical channel with ciliated walls

Abstract

The main purpose of this article is to present a metachronal wave analysis for non-Newtonian fluid inside a symmetrical channel with ciliated walls. The governing equations of Sisko fluid for the two dimensional channel are simplified using the low Reynolds number and long wave-length approximations. Using the Homotopy perturbation method the reduced equations are solved for longitudinal velocity. Solutions are represented through graphs. Outcomes for the longitudinal velocity, pressure gradient, pressure rise and stream lines are analyzed graphically. Keywords: Ciliary motion, Metachronal wave, Symmetric channel, Sisko fluid, Homotopy perturbation method