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Dufour and Soret Effects in an Axisymmetric Stagnation Point Flow of Second Grade Fluid with Newtonian Heating

Published online by Cambridge University Press:  19 December 2012

M. Nawaz ,
A. Alsaedi ,
T. Hayat  and
M. S. Alhothauli
M. Nawaz*
Affiliation:
Department of Humanities and Sciences, Institute of Space Technology, Islamabad 44000, Pakistan
A. Alsaedi
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
T. Hayat
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
M. S. Alhothauli
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Corresponding author (nawaz_d2006@yahoo.com)
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Abstract

The problem of magnetohydrodyanmic stagnation point flow and heat transfer of second grade fluid past a radially stretching sheet is investigated. The flow problems are examined in the presence of Newtonian heating and Soret and Dufour effects. The relevant mathematical problems are developed through equations of continuity, momentum, energy and concentration. The reduced differential equations are solved for the convergent series solutions. In order to validate the homotopy analysis method (HAM), a comparative study between the present and previous results is made. It is observed that Dufour and Soret effects on temperature and concentration distributions are different. Qualitatively, the influence of Prandtl number on temperature and Schmidt number on concentration is similar. It is further noted that the diffusion of solute in second grade fluid is increasing function of Soret number whereas it decreases when Dufour number increases.

Keywords

Axisymmetric flowNewtonian heatingThermal diffusion and diffusion-thermo effectsNusselt numberSherwood number
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 1 , March 2013 , pp. 27 - 34
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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References

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