IJPAM: Volume 114, No. 3 (2017)

Title

MHD COUETTE FLOW IN AN ANNULAR POROUS
REGION BETWEEN TWO COAXIAL CYLINDERS

Authors

Vineet Kumar Verma$^1$, Pawan Kumar Dixit$^2$
$^{1,2}$Department of Mathematics and Astronomy
University of Lucknow
Lucknow, INDIA

Abstract

This paper deals with the magnetohydrodynamic laminar steady flow of a viscous incompressible fluid in an annular porous region between two coaxial cylindrical pipes under the uniform transverse magnetic field. The outer pipe is moving with uniform velocity along the axis of pipe and inner is fixed. Flow within the porous region is governed by the Brinkman equation. Analytical expressions for velocity, volume flow rate, average velocity and stress on the walls of pipes are obtained. The effect of various parameters such as permeability parameter, Hartmaan number and pressure gradient on the flow are discussed and obtained results are exhibited graphically.

History

Received: February 2, 2017
Revised: May 10, 2017
Published: May 23, 2017

AMS Classification, Key Words

AMS Subject Classification: 76SXX, 76WXX
Key Words and Phrases: porous medium, Brinkman equation, couette flow, MHD Flow, Hartmann number, permeability parameter

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How to Cite?

DOI: 10.12732/ijpam.v114i3.12 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: 2017
Volume: 114
Issue: 3
Pages: 571 - 582


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