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Numerical study for Bödewadt flow of water based nanofluid over a deformable disk: Buongiorno model

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Abstract

Here the well-known Bödewadt flow problem is extended to the case where nanofluid occupies the space above a stretchable disk. Both Brownian motion and thermophoresis effects are incorporated into the transport equations. Physically realistic condition accounting for zero normal flux of nanoparticles is invoked. Similar form of governing differential system is attained through conventional Von Kármán relations. An efficient Keller-box method with high accuracy is used to report numerical solutions of the problem. Our results show that hydrodynamic boundary layer becomes thinner when larger stretching rate is imposed. Negative value of axial velocity reveals downward flow which is the consequence of radial stretching. Velocity components have oscillatory decaying profiles when the radial stretching effect is absent. Larger thermophoretic force leads to thicker temperature and nanoparticle concentration profiles. Both two-and three-dimensional streamlines are plotted for a specified ratio of rotation to the stretching rate. Comparative study of present results with those of previous published results is also discussed in a special 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

    J. A. 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. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & F. Alzahrani

Authors
  1. J. A. Khan
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  2. M. Mustafa
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  3. T. Hayat
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  4. F. Alzahrani
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Corresponding author

Correspondence to M. Mustafa.

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Khan, J.A., Mustafa, M., Hayat, T. et al. Numerical study for Bödewadt flow of water based nanofluid over a deformable disk: Buongiorno model. Indian J Phys 91, 527–533 (2017). https://doi.org/10.1007/s12648-017-0959-5

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  • DOI: https://doi.org/10.1007/s12648-017-0959-5

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