International Journal of Theoretical and Applied Mathematics

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On a Couette Flow of Conducting Fluid

Received: Oct. 24, 2017    Accepted: Apr. 20, 2018    Published: May 21, 2018
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Abstract

We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.

DOI 10.11648/j.ijtam.20180401.12
Published in International Journal of Theoretical and Applied Mathematics ( Volume 4, Issue 1, February 2018 )
Page(s) 8-21
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

Transverse Magnetic Field, Thermal Radiation, Couette Flow

References
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  • APA Style

    Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin. (2018). On a Couette Flow of Conducting Fluid. International Journal of Theoretical and Applied Mathematics, 4(1), 8-21. https://doi.org/10.11648/j.ijtam.20180401.12

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    ACS Style

    Isah Bala Yabo; Basant Kumar Jha; Jeng-Eng Lin. On a Couette Flow of Conducting Fluid. Int. J. Theor. Appl. Math. 2018, 4(1), 8-21. doi: 10.11648/j.ijtam.20180401.12

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    AMA Style

    Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin. On a Couette Flow of Conducting Fluid. Int J Theor Appl Math. 2018;4(1):8-21. doi: 10.11648/j.ijtam.20180401.12

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  • @article{10.11648/j.ijtam.20180401.12,
      author = {Isah Bala Yabo and Basant Kumar Jha and Jeng-Eng Lin},
      title = {On a Couette Flow of Conducting Fluid},
      journal = {International Journal of Theoretical and Applied Mathematics},
      volume = {4},
      number = {1},
      pages = {8-21},
      doi = {10.11648/j.ijtam.20180401.12},
      url = {https://doi.org/10.11648/j.ijtam.20180401.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijtam.20180401.12},
      abstract = {We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.},
     year = {2018}
    }
    

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    T1  - On a Couette Flow of Conducting Fluid
    AU  - Isah Bala Yabo
    AU  - Basant Kumar Jha
    AU  - Jeng-Eng Lin
    Y1  - 2018/05/21
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    DO  - 10.11648/j.ijtam.20180401.12
    T2  - International Journal of Theoretical and Applied Mathematics
    JF  - International Journal of Theoretical and Applied Mathematics
    JO  - International Journal of Theoretical and Applied Mathematics
    SP  - 8
    EP  - 21
    PB  - Science Publishing Group
    SN  - 2575-5080
    UR  - https://doi.org/10.11648/j.ijtam.20180401.12
    AB  - We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.
    VL  - 4
    IS  - 1
    ER  - 

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Author Information
  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

  • Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

  • Department of Mathematics and Statistics, Georgetown University, Washington DC, USA

  • Section