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Soret and Dufour effects in three-dimensional flow of Maxwell fluid with chemical reaction and convective condition

T. Hayat (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan and Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia)
M. Bilal Ashraf (Department of Mathematics, Quaid-i-Azam university, Islamabad, Pakistan)
A. Alsaedi (Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jeddah, Saudi Arabia)
M. S. Alhothuali (Faculty of Science, King Abdulaziz University, Jeddah, Saudia Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 January 2015

Abstract

Purpose

The purpose of this paper is to address the heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface with convective boundary conditions. Mass transfer is considered in the presence of first order chemical reaction. Conservation laws of energy and concentration are based upon the Soret and Dufour effects. Convergent series solutions to the resulting non-linear problems are developed. Effects of Biot and Deborah numbers on the Sherwood number are decreasing. Local Nusselt reduces with an increase in Eckert numbers. It is also interesting to note further that variations of Prandtl and Biot numbers on the Nusselt number are increasing while Sherwood number decreases with an increase in Prandtl number.

Design/methodology/approach

The involved partial differential systems are reduced to the ordinary differential systems using appropriate transformations. Series solutions by homotopy analysis method are constructed and analyzed. Graphical results are presented and examined in detail.

Findings

It is found that roles of Deborah and Biot parameters on the Nusselt number are opposite. However, the Sherwood number is qualitative similar for both Biot and Deborah numbers. It is also interesting to note further that variations of Prandtl and Biot numbers on the Nusselt and Sherwood numbers are similar.

Originality/value

The purpose of present communication is to investigate the three-dimensional flow of Maxwell fluid over a stretching surface with convective condition. Analysis has been carried out in the presence of mass transfer with first order chemical reaction and Soret and Dufour effects.

Keywords

Acknowledgements

The authors are grateful to the reviewers for the useful suggestions. The research of Drs Alsaedi and Alhuthali was partially supported by Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia.

Citation

Hayat, T., Bilal Ashraf, M., Alsaedi, A. and Alhothuali, M.S. (2015), "Soret and Dufour effects in three-dimensional flow of Maxwell fluid with chemical reaction and convective condition", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 1, pp. 98-120. https://doi.org/10.1108/HFF-11-2013-0322

Publisher

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Emerald Group Publishing Limited

Copyright © 2015, Emerald Group Publishing Limited