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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 72468, 8 pages
http://dx.doi.org/10.1155/MPE/2006/72468

Analytic solution of Stokes second problem for second-grade fluid

1Department of Mathematical Sciences, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan
2Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

Received 4 November 2004; Revised 28 July 2005; Accepted 26 October 2005

Copyright © 2006 S. Asghar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly determined. These solutions depend strongly upon the material parameter of second-grade fluid. It is shown that phase velocity decreases by increasing material parameter of second-grade fluid.