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

  • T. Hayat
  • , M. Bilal Ashraf
  • , A. Alsaedi
  • , M. S. Alhothuali
  • Quaid-I-Azam University
  • Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

Purpose - The purpose of this paper is to address the heat and mass transfer effects in threedimensional 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.

Original languageEnglish
Pages (from-to)98-120
Number of pages23
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume25
Issue number1
DOIs
StatePublished - 5 Jan 2015
Externally publishedYes

Keywords

  • Chemical reaction
  • Convective condition
  • Maxwell fluid
  • Soret and Dufour effects
  • Three-dimensional flow
  • Viscous dissipation

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