Neural Computing and Applications

, Volume 31, Issue 1, pp 249–261 | Cite as

Thermophoresis and MHD mixed convection three-dimensional flow of viscoelastic fluid with Soret and Dufour effects

  • M. Bilal AshrafEmail author
  • T. Hayat
  • S. A. Shehzad
  • B. Ahmed
Original Article


Heat and mass transfer effects in three-dimensional mixed convection flow of viscoelastic fluid over a stretching surface with convective boundary conditions are investigated. The fluid is electrically conducting in the presence of constant applied magnetic field. Conservation laws of energy and concentration are based upon the Soret and Dufour effects. First order chemical reaction effects are also taken into account. By using the similarity transformations, the governing boundary layer equations are reduced into the ordinary differential equations. The transformed boundary layer equations are computed for the series solutions. Dimensionless velocity, temperature, and concentration distributions are shown graphically for different values of involved parameters. Numerical values of local Nusselt and Sherwood numbers are computed and analyzed. It is found that the behaviors of viscoelastic, mixed convection, and concentration buoyancy parameters on the Nusselt and Sherwood numbers are similar. However, the Nusselt and Sherwood numbers have qualitative opposite effects for Biot number, thermophoretic parameter, and Soret-Dufour parameters.


Soret-Dufour effects Thermophoretic effect Mixed convection Chemical reaction Convective condition Three-dimensional flow 


Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding publication of this research paper.


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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • M. Bilal Ashraf
    • 1
    Email author
  • T. Hayat
    • 2
    • 3
  • S. A. Shehzad
    • 4
  • B. Ahmed
    • 3
  1. 1.Department of MathematicsCOMSATS Institute of Information TechnologyWah CanttPakistan
  2. 2.Department of MathematicsQuaid-i-Azam University 45320IslamabadPakistan
  3. 3.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Department of MathematicsCOMSATS Institute of Information TechnologySahiwalPakistan

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