Cilia walls influence on peristaltically induced motion of magneto-fluid through a porous medium at moderate Reynolds number: Numerical study

http://dx.doi.org/10.1016/j.joems.2017.01.001

Abstract

This article addresses, effects of a magneto-fluid through a Darcy flow model with oscillatory wavy walled
whose inner surface is ciliated. The equations that governing the flow are modeled without using any approximations. Adomian Decomposition Method (ADM) is used to evaluate the solution of our system of
nonlinear partial differential equations. Stream function, velocity and pressure gradient components are
obtained by using the vorticity formula. The effects for our arbitrary physical parameters on flow characteristics are analyzed by plotting diagrams and discussed in details. With the help of stream lines the
trapping mechanism has also been discussed. The major outcomes for the ciliated channel walls are: The
axial velocity is higher without a ciliated walls than that for a ciliated walls and an opposite behaviour is
shown near the ciliated channel walls. The pressure gradients in both directions are higher for a ciliated
channel walls. More numbers of the trapped bolus in the absent of the eccentricity of the cilia elliptic
path.
Journal of the Egyptian Mathematical Society
Volume 25, Issue 2
2017
Pages 238-251

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