UNSTEADY SQUEEZING FLOW OF A VISCOUS MHD FLUID BETWEEN PARALLEL PLATES, A SOLUTION USING THE HOMOTOPY PERTURBATION METHOD-Reference-Cited by-同舟云学术

UNSTEADY SQUEEZING FLOW OF A VISCOUS MHD FLUID BETWEEN PARALLEL PLATES, A SOLUTION USING THE HOMOTOPY PERTURBATION METHOD

Published:2008-12-31 Issue:4 Volume:13 Page:565-576
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Siddiqui Abdul M.¹,Irum Sania²,Ansari Ali R.³

Affiliation:

1. Pennsylvania State University, Department of Mathematics, York Campus, York, PA 17403, USA

2. COMSATS Institute of Information Technology, University Road, Tobe Camp, Abbottabad, Pakistan

3. Gulf University for Science & Technology, Department of Mathematics & Natural Sciences, P.O. Box 7207, Hawally 32093, Kuwait

Abstract

The present paper analyses the unsteady 2‐dimensional flow of a viscous MHD fluid between two parallel infinite plates. The two infinite plates are considered to be approaching each other symmetrically, causing the squeezing flow. A similarity transformation is used to reduce the partial differential equations modeling the flow, to a single fourth‐order non‐linear differential equation containing the Reynolds number and the magnetic field strength as parameters. The velocity functions are obtained for a range of values of both parameters by using the homotopy perturbation method. The total resistance to the upper plate is presented.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference22 articles.

1. Unsteady MHD squeezing flow between two parallel rotating discs

2. Squeezing flow between parallel plates

3. The magnetohydrodynamic squeeze film

4. The magnetohydrodynamic effects on a fluid film squeezed between two rotating surfaces

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