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Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium

Received: 3 August 2019     Accepted: 23 December 2019     Published: 7 September 2020
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Abstract

Ferromagnetic fluids are made up of magnetic particles, which are suspended in a carrier liquid such as water, hydrocarbon (mineral oil or kerosene) or fluorocarbon with a surfactant to avoid clumping. Worldwide many literature revealed that, the ferromagnetic fluids application has been diversified in nature and widely used in engineering, technology, agricultural, animal and biomedical sciences etc. (evidence based medicine for cancer patients, fertigation in agriculture). Now a days, the driven applications are using in developing countries. The ferromagnetic fluids analytical applications are very limited scope in Indian scenario due to paucity of literature and technological gap. In the essence of this research gap the present study undertaking to demonstrate the various applications of ferroconvection in a heterogeneous Brinkman porous medium on theoretical basis. The resulting eigenvalue problem is solved numerically using the Galerkin method. The effects of vertical heterogeneity of permeability, Darcy parameter, Magnetic Rayleigh number, nonlinearity of magnetization, and internal heat source on the onset of ferromagnetic convection is investigated.

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 6, Issue 3)

This article belongs to the Special Issue Dynamical Properties of Some Discrete Dynamical Systems

DOI 10.11648/j.ijamtp.20200603.12
Page(s) 41-48
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), 2020. Published by Science Publishing Group

Keywords

Heterogeneous Porous Medium, Ferrofluid, Ferromagnetic Convection, Variable Permeability, Internal Heat Source

References
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Cite This Article
  • APA Style

    Ravisha Mallappa, Basavarajaiah Doddagangavadi Mariyappa, Mamatha Arabhaghatta Lingaraju, Prakash Revanna. (2020). Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium. International Journal of Applied Mathematics and Theoretical Physics, 6(3), 41-48. https://doi.org/10.11648/j.ijamtp.20200603.12

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    ACS Style

    Ravisha Mallappa; Basavarajaiah Doddagangavadi Mariyappa; Mamatha Arabhaghatta Lingaraju; Prakash Revanna. Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium. Int. J. Appl. Math. Theor. Phys. 2020, 6(3), 41-48. doi: 10.11648/j.ijamtp.20200603.12

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    AMA Style

    Ravisha Mallappa, Basavarajaiah Doddagangavadi Mariyappa, Mamatha Arabhaghatta Lingaraju, Prakash Revanna. Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium. Int J Appl Math Theor Phys. 2020;6(3):41-48. doi: 10.11648/j.ijamtp.20200603.12

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  • @article{10.11648/j.ijamtp.20200603.12,
      author = {Ravisha Mallappa and Basavarajaiah Doddagangavadi Mariyappa and Mamatha Arabhaghatta Lingaraju and Prakash Revanna},
      title = {Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium},
      journal = {International Journal of Applied Mathematics and Theoretical Physics},
      volume = {6},
      number = {3},
      pages = {41-48},
      doi = {10.11648/j.ijamtp.20200603.12},
      url = {https://doi.org/10.11648/j.ijamtp.20200603.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20200603.12},
      abstract = {Ferromagnetic fluids are made up of magnetic particles, which are suspended in a carrier liquid such as water, hydrocarbon (mineral oil or kerosene) or fluorocarbon with a surfactant to avoid clumping. Worldwide many literature revealed that, the ferromagnetic fluids application has been diversified in nature and widely used in engineering, technology, agricultural, animal and biomedical sciences etc. (evidence based medicine for cancer patients, fertigation in agriculture). Now a days, the driven applications are using in developing countries. The ferromagnetic fluids analytical applications are very limited scope in Indian scenario due to paucity of literature and technological gap. In the essence of this research gap the present study undertaking to demonstrate the various applications of ferroconvection in a heterogeneous Brinkman porous medium on theoretical basis. The resulting eigenvalue problem is solved numerically using the Galerkin method. The effects of vertical heterogeneity of permeability, Darcy parameter, Magnetic Rayleigh number, nonlinearity of magnetization, and internal heat source on the onset of ferromagnetic convection is investigated.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium
    AU  - Ravisha Mallappa
    AU  - Basavarajaiah Doddagangavadi Mariyappa
    AU  - Mamatha Arabhaghatta Lingaraju
    AU  - Prakash Revanna
    Y1  - 2020/09/07
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ijamtp.20200603.12
    DO  - 10.11648/j.ijamtp.20200603.12
    T2  - International Journal of Applied Mathematics and Theoretical Physics
    JF  - International Journal of Applied Mathematics and Theoretical Physics
    JO  - International Journal of Applied Mathematics and Theoretical Physics
    SP  - 41
    EP  - 48
    PB  - Science Publishing Group
    SN  - 2575-5927
    UR  - https://doi.org/10.11648/j.ijamtp.20200603.12
    AB  - Ferromagnetic fluids are made up of magnetic particles, which are suspended in a carrier liquid such as water, hydrocarbon (mineral oil or kerosene) or fluorocarbon with a surfactant to avoid clumping. Worldwide many literature revealed that, the ferromagnetic fluids application has been diversified in nature and widely used in engineering, technology, agricultural, animal and biomedical sciences etc. (evidence based medicine for cancer patients, fertigation in agriculture). Now a days, the driven applications are using in developing countries. The ferromagnetic fluids analytical applications are very limited scope in Indian scenario due to paucity of literature and technological gap. In the essence of this research gap the present study undertaking to demonstrate the various applications of ferroconvection in a heterogeneous Brinkman porous medium on theoretical basis. The resulting eigenvalue problem is solved numerically using the Galerkin method. The effects of vertical heterogeneity of permeability, Darcy parameter, Magnetic Rayleigh number, nonlinearity of magnetization, and internal heat source on the onset of ferromagnetic convection is investigated.
    VL  - 6
    IS  - 3
    ER  - 

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Author Information
  • Department of Mathematics, Dr. Gundmi Shankar Government Women’s First Grade College and Post Graduate Study Centre, Udupi, India

  • Department of Statistics and Computer Science, Dairy Science College, Bengaluru, India

  • Department of Mathematics, Smt. Rukmini Shedthi Memorial National Government Women’s First Grade College, Udupi, India

  • Department of Mathematics, Rashtreeya Vidyalaya College of Engineering, Bengaluru, India

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