Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 264901, 14 pages
doi:10.1155/2010/264901
Research Article

Lie Group Analysis of Mixed Convection Flow with Mass Transfer over a Stretching Surface with Suction or Injection

Department of Mathematics, COMSATS Institute of Information Technology, H-8, 44000 Islamabad, Pakistan

Received 25 May 2010; Revised 27 August 2010; Accepted 14 October 2010

Academic Editor: Cristian Toma

Copyright © 2010 Mudassar Jalil 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 mixed convection flow with mass transfer over a stretching surface with suction or injection is examined. By using Lie group analysis, the symmetries of the equations are calculated. A four-finite parameter and one infinite parameter Lie group transformations are obtained. Two different cases are discussed, one for the scaling symmetry and the other for spiral symmetry. The governing partial differential equations are transformed into ordinary differential equations using these symmetries. It has been noted that the similarity variables and functions available in the literature become special cases of the similarity variables and functions discussed in this paper.