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Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid

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Abstract

This research focuses on the Cattaneo-Christov theory of heat and mass flux for a three-dimensional Maxwell liquid towards a moving surface. An incompressible laminar flow with variable thermal conductivity is considered. The flow generation is due to the bidirectional stretching of sheet. The combined phenomenon of heat and mass transport is accounted. The Cattaneo-Christov model of heat and mass diffusion is used to develop the expressions of energy and mass species. The first-order chemical reaction term in the mass species equation is considered. The boundary layer assumptions lead to the governing mathematical model. The homotopic simulation is adopted to visualize the results of the dimensionless flow equations. The graphs of velocities, temperature, and concentration show the effects of different arising parameters. A numerical benchmark is presented to visualize the convergent values of the computed results. The results show that the concentration and temperature fields are decayed for the Cattaneo-Christov theory of heat and mass diffusion.

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Authors and Affiliations

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

    S. A. Shehzad & M. A. Meraj

  2. Department of Mathematics, Quaid-i-Azam University, Islamabad, 4000, Pakistan

    T. Hayat

  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. S. A. Shehzad
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  2. T. Hayat
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  3. A. Alsaedi
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  4. M. A. Meraj
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Correspondence to S. A. Shehzad.

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Shehzad, S.A., Hayat, T., Alsaedi, A. et al. Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid. Appl. Math. Mech.-Engl. Ed. 38, 1347–1356 (2017). https://doi.org/10.1007/s10483-017-2250-6

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  • DOI: https://doi.org/10.1007/s10483-017-2250-6

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