IJPAM: Volume 94, No. 3 (2014)

INTERACTION OF PULSATILE FLOW ON THE PERISTALTIC
MOTION OF A MAGNETO-MICROPOLAR FLUID THROUGH
POROUS MEDIUM IN A FLEXIBLE CHANNEL:
BLOOD FLOW MODEL

Kh.S. Mekheimer$^1$, Mohamed S. Mohamed$^2$
$^{1,2}$Mathematics Department
Faculty of Science
Taif University
Hawia, 888 Taif, SAUDI ARABIA
$^2$Mathematics Department
Faculty of Science
Al-Azhar University
Nasr City, 11448, Cairo, EGYPT


Abstract. We carry out the effect of the pulsatile flow on peristaltic motion of an incompressible conducting micropolar fluid through porous medium in a channel bounded by flexible walls.Problem formulation in a wave frame of reference is presented.

An oscillatory time dependent flux is being imposed on the peristaltic flow. The non-linear equations governing the flow through porous medium under the effect of a constant magnetic field are solved by using the perturbation method to the second-order in the Womersley number.

Explicit expressions of the pressure gradient, the stream function and the micro-rotation velocity are derived. Numerical calculations are carried out for the pressure rise and friction force on the wall. Also we study the effect of the embedded parameters on the axial fluid velocity. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail. A motivation of the present analysis is the hope that such a problem will be applicable in many clinical applications.

Received: October 31, 2013

AMS Subject Classification: 53C11, 76S05

Key Words and Phrases: peristaltic flow, pulsatile flow, micropolar fluid, porous medium, MHD

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DOI: 10.12732/ijpam.v94i3.3 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 3
Pages: 323 -

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).