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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan

    M. Bilal Ashraf

  2. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan

    T. Hayat

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & B. Ahmed

  4. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan

    S. A. Shehzad

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  1. M. Bilal Ashraf
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Correspondence to M. Bilal Ashraf.

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Bilal Ashraf, M., Hayat, T., Shehzad, S.A. et al. Thermophoresis and MHD mixed convection three-dimensional flow of viscoelastic fluid with Soret and Dufour effects. Neural Comput & Applic 31, 249–261 (2019). https://doi.org/10.1007/s00521-017-2997-5

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