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A revised model to study the MHD nanofluid flow and heat transfer due to rotating disk: numerical solutions

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Abstract

Here our main interest is to present numerical simulations for magneto-nanofluid flow and heat transfer near a rotating disk. Buongiorno model, featuring the novel aspects of Brownian motion and thermophoresis, is accounted. Heat dissipation effect is preserved in the energy balance equation. We take into account more realistic wall condition which requires passive control of nanoparticle concentration at the disk. The traditional Von Karman relations have been invoked to attain self-similar differential system. Keller–Box method has been implemented to compute similarity solutions of the problem. Streamlines are prepared in both two and three dimensions for adequate flow visualization. The behavior of involved parameters on the flow fields is examined graphically. It is predicted that the torque required to maintain disk in steady rotation increases when magnetic field effects are enhanced. Fluid flow in the radial, azimuthal and vertical directions is opposed by the magnetic field strength. Thermophoresis effect enhances temperature and reduces heat flux from the disk. However, Brownian diffusion has a marginal influence on temperature distribution. Heat transfer coefficient is reduced due to the inclusion of heat dissipation terms. Present results are consistent with those of the available studies in a limiting situation.

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Authors and Affiliations

  1. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan

    Junaid Ahmad Khan

  2. School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan

    M. Mustafa

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

    T. Hayat

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. Junaid Ahmad Khan
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  2. M. Mustafa
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  3. T. Hayat
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  4. A. Alsaedi
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Correspondence to M. Mustafa.

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Khan, J.A., Mustafa, M., Hayat, T. et al. A revised model to study the MHD nanofluid flow and heat transfer due to rotating disk: numerical solutions. Neural Comput & Applic 30, 957–964 (2018). https://doi.org/10.1007/s00521-016-2743-4

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  • DOI: https://doi.org/10.1007/s00521-016-2743-4

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