Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium

Ravisha Mallappa; Basavarajaiah Doddagangavadi Mariyappa; Mamatha Arabhaghatta Lingaraju; Prakash Revanna

doi:doi:10.11648/j.ijamtp.20200603.12

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Practical Insight of Ferroconvection in Heterogeneous Brinkman Porous Medium

Ravisha Mallappa, Basavarajaiah Doddagangavadi Mariyappa, Mamatha Arabhaghatta Lingaraju, Prakash Revanna

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

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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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

Ravisha Mallappa

Department of Mathematics, Dr. Gundmi Shankar Government Women’s First Grade College and Post Graduate Study Centre, Udupi, India
Basavarajaiah Doddagangavadi Mariyappa

Department of Statistics and Computer Science, Dairy Science College, Bengaluru, India
Mamatha Arabhaghatta Lingaraju

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

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

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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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download