Journal of Applied Mathematics
Volume 2012 (2012), Article ID 259608, 9 pages
http://dx.doi.org/10.1155/2012/259608
Research Article

Boundary Layer Equations and Lie Group Analysis of a Sisko Fluid

Gözde Sarı,1,2 Mehmet Pakdemirli,1,2 Tasawar Hayat,3,4 and Yiğit Aksoy1

1Department of Mechanical Engineering, Celal Bayar University, Muradiye, 45140 Manisa, Turkey
2Applied Mathematics and Computation Center, Celal Bayar University, Muradiye, 45140 Manisa, Turkey
3Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
4Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Received 27 September 2012; Accepted 5 December 2012

Academic Editor: Fazal M. Mahomed

Copyright © 2012 Gözde Sarı 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

Boundary layer equations are derived for the Sisko fluid. Using Lie group theory, a symmetry analysis of the equations is performed. A partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved. Effects of non-Newtonian parameters on the solutions are discussed.