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MHD squeezing flow of second‐grade fluid between two parallel disks
Authors:T. Hayat  Arshia Yousaf  M. Mustafa  S. Obaidat
Affiliation:1. Department of Mathematics, Quaid‐I‐Azam University 45320, Islamabad 44000, Pakistan;2. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Abstract:
This paper examines the unsteady two‐dimensional flow of a second‐grade fluid between parallel disks in the presence of an applied magnetic field. The continuity and momentum equations governing the unsteady two‐dimensional flow of a second‐grade fluid are reduced to a single differential equation through similarity transformations. The resulting differential system is computed by a homotopy analysis method. Graphical results are discussed for both suction and blowing cases. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid (Math. Probl. Eng., DOI: 10.1155/2009/603916 ). Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:squeezing flow  second‐grade fluid  HAM solution  magnetohydrodynamics  axisymmetric flow
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