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MHD flow of Jeffrey nanofluid with convective boundary conditions

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Abstract

This article investigates the effects of convective heat and concentration conditions in magnetohydrodynamic flow of non-Newtonian fluid with nanoparticles. Convective type boundary conditions are utilized for heat and nanoparticles concentration. The nonlinear partial differential equations are reduced into the nonlinear ordinary differential equations by suitable similarity variables. Homotopy analysis method is employed to obtain the dimensionless velocity, temperature and nanoparticles concentration expressions. Graphical results for temperature and nanoparticles concentration are plotted and examined. Numerical values of skin friction coefficient are computed and discussed. Heat transfer and nanoparticles concentration transfer rates at the wall are examined by plotting the graphs of different governing physical parameters. We noticed that the temperature and nanoparticles concentration profiles are enhanced when the values of Biot numbers are increased. An increase in thermophoresis parameter leads to an enhancement in the temperature and nanoparticles concentration. On the other hand the increasing values of Brownian motion parameter has reverse effects on the temperature and nanoparticles concentration fields.

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Acknowledgments

We are grateful to the reviewers for the useful suggestions and comments to improve the manuscript. This project is funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. 37-130-35-HiCi. The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

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

    T. Hayat

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

    T. Hayat & A. Alsaedi

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

    S. A. Shehzad

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

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Technical Editor: Francisco Ricardo Cunha.

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Shehzad, S.A., Hayat, T. & Alsaedi, A. MHD flow of Jeffrey nanofluid with convective boundary conditions. J Braz. Soc. Mech. Sci. Eng. 37, 873–883 (2015). https://doi.org/10.1007/s40430-014-0222-3

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  • DOI: https://doi.org/10.1007/s40430-014-0222-3

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