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Mathematical Problems in Engineering
Volume 2012, Article ID 640289, 13 pages
Research Article

Boundary Layer Flow of Second Grade Fluid in a Cylinder with Heat Transfer

1Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
2Department of Mathematics, University of Balochistan, Quetta, Pakistan
3Department of Computational Science and Engineering, Yonsei University, Seoul, Republic of Korea
4Department of Mechanical Engineering, Yonsei University, Seoul, Republic of Korea

Received 28 March 2012; Accepted 13 May 2012

Academic Editor: Xing-Gang Yan

Copyright © 2012 S. Nadeem 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.


An analysis is carried out to obtain the similarity solution of the steady boundary layer flow and heat transfer of a second grade through a horizontal cylinder. The governing partial differential equations along with the boundary conditions are reduced to dimensionless form by using the boundary layer approximation and applying suitable similarity transformation. The resulting nonlinear coupled system of ordinary differential equations subject to the appropriate boundary conditions is solved by homotopy analysis method (HAM). The effects of the physical parameters on the flow and heat transfer characteristics of the model are presented. The behavior of skin friction coefficient and Nusselt numbers is studied for different parameters.