American Journal of Applied Mathematics

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Convective Transport of Nanofluid Saturated with Porous Layer

Received: 10 November 2016    Accepted: 26 November 2016    Published: 18 January 2017
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Abstract

In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.

DOI 10.11648/j.ajam.20170501.11
Published in American Journal of Applied Mathematics (Volume 5, Issue 1, February 2017)
Page(s) 1-13
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

Nanofluid, Porous Medium, Instability, Natural Convection

References
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Author Information
  • Department of Mathematics, Gulbarga University, Kalaburagi, Karnataka, India

  • Department of Mathematics, Gulbarga University, Kalaburagi, Karnataka, India

  • Department of Mathematics, Gulbarga University, Kalaburagi, Karnataka, India

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  • APA Style

    Jada Prathap Kumar, Jawali Channabasappa Umavathi, Channakeshava Murthy. (2017). Convective Transport of Nanofluid Saturated with Porous Layer. American Journal of Applied Mathematics, 5(1), 1-13. https://doi.org/10.11648/j.ajam.20170501.11

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    ACS Style

    Jada Prathap Kumar; Jawali Channabasappa Umavathi; Channakeshava Murthy. Convective Transport of Nanofluid Saturated with Porous Layer. Am. J. Appl. Math. 2017, 5(1), 1-13. doi: 10.11648/j.ajam.20170501.11

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    AMA Style

    Jada Prathap Kumar, Jawali Channabasappa Umavathi, Channakeshava Murthy. Convective Transport of Nanofluid Saturated with Porous Layer. Am J Appl Math. 2017;5(1):1-13. doi: 10.11648/j.ajam.20170501.11

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  • @article{10.11648/j.ajam.20170501.11,
      author = {Jada Prathap Kumar and Jawali Channabasappa Umavathi and Channakeshava Murthy},
      title = {Convective Transport of Nanofluid Saturated with Porous Layer},
      journal = {American Journal of Applied Mathematics},
      volume = {5},
      number = {1},
      pages = {1-13},
      doi = {10.11648/j.ajam.20170501.11},
      url = {https://doi.org/10.11648/j.ajam.20170501.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20170501.11},
      abstract = {In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.},
     year = {2017}
    }
    

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    T1  - Convective Transport of Nanofluid Saturated with Porous Layer
    AU  - Jada Prathap Kumar
    AU  - Jawali Channabasappa Umavathi
    AU  - Channakeshava Murthy
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    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20170501.11
    AB  - In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.
    VL  - 5
    IS  - 1
    ER  - 

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