Applied and Computational Mathematics

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Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System

Received: 25 May 2015    Accepted: 07 June 2015    Published: 25 June 2015
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Abstract

The Hall effect on MHD Couette flow and heat transfer between two parallel plates in a rotating channel is investigated. A uniform magnetic field is applied normal to the plates and the flow is induced by the effects of Coriolis force, moving upper plate and the constant pressure gradients. Cu-water, Al2O3-water and TiO2-water nanofluids are compared for heat transfer performance. The Galerkin approximation and method of lines are employed to tackle the governing non-linear PDEs. The results show that Hall current significantly affects the flow system. The skin friction and Nusselt number profiles are presented graphically and discussed quantitatively.

DOI 10.11648/j.acm.20150404.12
Published in Applied and Computational Mathematics (Volume 4, Issue 4, August 2015)
Page(s) 232-244
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Couette Flow, Rotating System, Heat Transfer, Hall Current, Magnetic Field, Nanofluids

References
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[6] T.G. Motsumi, O.D. Makinde, Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate, Physica Scripta 86(2012) 045003.
[7] K.V. Wong, O. De Leon, Applications of nanofluids: current and future, Advances in Mechanical Engineering. 2010(2010).
[8] O.D. Makinde, Effects of viscous dissipation and Newtonian heating on boundary-layer flow of nanofluids over a flat plate, International Journal of Numerical Methods for Heat & Fluid Flow 23(2013) 1291-1303.
[9] M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, S. Soleimani, Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu-water nanofluid using CVFEM, Advanced Powder Technology 24(2013) 980-991.
[10] O.D. Makinde, A. Ogulu, The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field, Chemical Engineering Communications 195(2008), 1575-1584.
[11] B.I. Olajuwon, Convection heat and mass transfer in a hydromagnetic flow of a second grade fluid in the presence of thermal radiation and thermal diffusion, International Communications in Heat and Mass Transfer 38(2011) 377-382.
[12] W.N. Mutuku-Njane, O.D. Makinde, Combined effect of buoyancy force and Navier slip on MHD flow of a nanofluid over a convectively heated vertical porous plate, The Scientific World Journal 2013(2013).
[13] G.S. Seth, G.K. Mahato, J.K. Singh, Effects of Hall current and rotation on MHD Couette flow of class-II, Journal of International Academy of Physical Sciences 15(2012), 201-219.
[14] S.K. Ghosh, O.A Bég, A. Aziz, A mathematical model for magnetohydrodynamic convection Flow in a rotating horizontal channel with inclined magnetic field, magnetic induction and Hall current effects, World Journal of Mechanics 1(2011) 137.
[15] H. Zaman, M.A. Shah, F. Khan, Q. Javed, Effects of Hall current on MHD boundary layer second-order viscoelastic fluid flow induced by a continuous surface with heat transfer, American Journal of Computational Mathematics 4(2014) 143.
[16] H.A. Mintsa, G. Roy, C. T. Nguyen, D. Doucet, New temperature dependent thermal conductivity data for water-based nanofluids, International Journal of Thermal Sciences 48(2009) 363-371
[17] S. Kakac, A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, International Journal of Heat and Mass Transfer 52(2009) 3187-3196.
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Author Information
  • Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania

  • Faculty of Military Science, Stellenbosch University, Saldanha, South Africa

  • Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania

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    Ahmada Omar Ali, Oluwole Daniel Makinde, Yaw Nkansah-Gyekye. (2015). Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System. Applied and Computational Mathematics, 4(4), 232-244. https://doi.org/10.11648/j.acm.20150404.12

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    ACS Style

    Ahmada Omar Ali; Oluwole Daniel Makinde; Yaw Nkansah-Gyekye. Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System. Appl. Comput. Math. 2015, 4(4), 232-244. doi: 10.11648/j.acm.20150404.12

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    AMA Style

    Ahmada Omar Ali, Oluwole Daniel Makinde, Yaw Nkansah-Gyekye. Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System. Appl Comput Math. 2015;4(4):232-244. doi: 10.11648/j.acm.20150404.12

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  • @article{10.11648/j.acm.20150404.12,
      author = {Ahmada Omar Ali and Oluwole Daniel Makinde and Yaw Nkansah-Gyekye},
      title = {Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System},
      journal = {Applied and Computational Mathematics},
      volume = {4},
      number = {4},
      pages = {232-244},
      doi = {10.11648/j.acm.20150404.12},
      url = {https://doi.org/10.11648/j.acm.20150404.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20150404.12},
      abstract = {The Hall effect on MHD Couette flow and heat transfer between two parallel plates in a rotating channel is investigated. A uniform magnetic field is applied normal to the plates and the flow is induced by the effects of Coriolis force, moving upper plate and the constant pressure gradients. Cu-water, Al2O3-water and TiO2-water nanofluids are compared for heat transfer performance. The Galerkin approximation and method of lines are employed to tackle the governing non-linear PDEs. The results show that Hall current significantly affects the flow system. The skin friction and Nusselt number profiles are presented graphically and discussed quantitatively.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System
    AU  - Ahmada Omar Ali
    AU  - Oluwole Daniel Makinde
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    DO  - 10.11648/j.acm.20150404.12
    T2  - Applied and Computational Mathematics
    JF  - Applied and Computational Mathematics
    JO  - Applied and Computational Mathematics
    SP  - 232
    EP  - 244
    PB  - Science Publishing Group
    SN  - 2328-5613
    UR  - https://doi.org/10.11648/j.acm.20150404.12
    AB  - The Hall effect on MHD Couette flow and heat transfer between two parallel plates in a rotating channel is investigated. A uniform magnetic field is applied normal to the plates and the flow is induced by the effects of Coriolis force, moving upper plate and the constant pressure gradients. Cu-water, Al2O3-water and TiO2-water nanofluids are compared for heat transfer performance. The Galerkin approximation and method of lines are employed to tackle the governing non-linear PDEs. The results show that Hall current significantly affects the flow system. The skin friction and Nusselt number profiles are presented graphically and discussed quantitatively.
    VL  - 4
    IS  - 4
    ER  - 

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