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Simultaneous effects of magnetic field and convective condition in three-dimensional flow of couple stress nanofluid with heat generation/absorption

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Abstract

This work investigates the combined effects of heat generation/absorption and convective condition in magnetohydrodynamic (MHD) three-dimensional flow of couple stress nanofluid. The flow is because of a bidirectional stretching surface. Heat transfer mechanism is studied through the convective boundary condition. Problem formulation is developed in the presence of Brownian motion and thermophoresis. Couple stress fluid is electrically conducted subject to uniform applied magnetic field. Simultaneous effects of convective heat and zero nanoparticles mass flux conditions are utilized at the surface. Suitable transformations are employed to reduce the partial differential system into the nonlinear ordinary differential system. The resulting nonlinear system has been solved for the convergent series solutions. The temperature and nanoparticles concentration are discussed for various sundry variables. The skin friction coefficients and local Nusselt number are also computed and examined. Our computations reveal that the temperature distribution has a direct relationship with the Biot number and heat generation/absorption parameter. Further the temperature distribution and thermal boundary layer thickness are lower for Newtonian fluid in comparison to the couple stress fluid.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    Tasawar Hayat & Taseer Muhammad

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat & Ahmed Alsaedi

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

    Sabir Ali Shehzad

Authors
  1. Tasawar Hayat
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  2. Taseer Muhammad
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  3. Sabir Ali Shehzad
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  4. Ahmed Alsaedi
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Correspondence to Sabir Ali Shehzad.

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Technical Editor: Jader Barbosa Jr.

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Hayat, T., Muhammad, T., Shehzad, S.A. et al. Simultaneous effects of magnetic field and convective condition in three-dimensional flow of couple stress nanofluid with heat generation/absorption. J Braz. Soc. Mech. Sci. Eng. 39, 1165–1176 (2017). https://doi.org/10.1007/s40430-016-0632-5

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  • DOI: https://doi.org/10.1007/s40430-016-0632-5

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