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Three-dimensional boundary layer flow of Maxwell nanofluid: mathematical model

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Abstract

The present research explores the three-dimensional boundary layer flow of the Maxwell nanofluid. The flow is generated by a bidirectional stretching surface. The mathematical formulation is carried out through a boundary layer approach with the heat source/sink, the Brownian motion, and the thermophoresis effects. The newly developed boundary conditions requiring zero nanoparticle mass flux at the boundary are employed in the flow analysis for the Maxwell fluid. The governing nonlinear boundary layer equations through appropriate transformations are reduced to the coupled nonlinear ordinary differential system. The resulting nonlinear system is solved. Graphs are plotted to examine the effects of various interesting parameters on the non-dimensional velocities, temperature, and concentration fields. The values of the local Nusselt number are computed and examined numerically.

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Authors and Affiliations

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

    T. Hayat & T. Muhammad

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

    T. Hayat & A. Alsaedi

  3. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, 57000, Pakistan

    S. A. Shehzad

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

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Hayat, T., Muhammad, T., Shehzad, S.A. et al. Three-dimensional boundary layer flow of Maxwell nanofluid: mathematical model. Appl. Math. Mech.-Engl. Ed. 36, 747–762 (2015). https://doi.org/10.1007/s10483-015-1948-6

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  • DOI: https://doi.org/10.1007/s10483-015-1948-6

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