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Lie Group Analysis for a Mixed Convective Flow and Heat Mass Transfer Over a Permeable Stretching Surface with Soret and Dufour Effects

Published online by Cambridge University Press:  14 November 2013

Reda G. Abdel-Rahman  and
Ahmed M. Megahed
Reda G. Abdel-Rahman
Affiliation:
Department of Mathematics, Faculty of Science, Benha University, Egypt
Ahmed M. Megahed*
Affiliation:
Department of Mathematics, Faculty of Science, Benha University, Egypt
*
[email protected]
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Abstract

The Lie group transformation method is applied for solving the problem of mixed convection flow with mass transfer over a permeable stretching surface with Soret and Dufour effects. The application of Lie group method reduces the number of independent variables by one and consequently the system of governing partial differential equations reduces to a system of ordinary differential equations with appropriate boundary conditions. Further, the reduced non-linear ordinary differential equations are solved numerically by using the shooting method. The effects of various parameters governing the flow and heat transfer are shown through graphs and discussed. Our aim is to detect new similarity variables which transform our system of partial differential equations to a system of ordinary differential equations. In this work a special attention is given to investigate the effect of the Soret and Dufour numbers on the velocity, temperature and concentration fields above the sheet.

Keywords

Lie group analysisSoret and dufour effectsStretching surface
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 1 , February 2014 , pp. 67 - 75
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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