Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 290615, 11 pages
http://dx.doi.org/10.1155/2012/290615
Research Article

A New Numerical Solution of Maxwell Fluid over a Shrinking Sheet in the Region of a Stagnation Point

S. S. Motsa,1 Y. Khan,2 and S. Shateyi3

1School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa
2Department of Mathematics, Zhejiang University, Hangzhou 310027, China
3Department of Mathematics, University of Venda, P Bag X5050, Thohoyandou 0950, South Africa

Received 29 March 2012; Revised 5 July 2012; Accepted 10 July 2012

Academic Editor: Anuar Ishak

Copyright © 2012 S. S. Motsa 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

The mathematical model for the incompressible two-dimensional stagnation flow of a Maxwell fluid towards a shrinking sheet is proposed. The developed equations are used to discuss the problem of being two dimensional in the region of stagnation point over a shrinking sheet. The nonlinear partial differential equations are transformed to ordinary differential equations by first-taking boundary-layer approximations into account and then using the similarity transformations. The obtained equations are then solved by using a successive linearisation method. The influence of the pertinent fluid parameters on the velocity is discussed through the help of graphs.