American Journal of Software Engineering and Applications

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Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary

Received: 05 December 2016    Accepted: 17 December 2016    Published: 13 January 2017
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Abstract

Exact solution of an incompressible fluid of second order type by causing forced oscillations in the liquid of finite depth bounded by a porous bottom has been obtained in this paper. The results presented are in terms of non-dimensional elastic-viscosity parameter (β) which depends on the non-Newtonian coefficient and the frequency of excitation (σ) of the external disturbance while considering the porosity (K) and magnetic parameter (m) of the medium into account. The flow parameters are found to be identical with that of Newtonian case as β →0, m →0 and K→ ∞. It is seen that the effect of elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface has significant effect on the velocity parameter, phase parameter, skin friction and mass flow rate. Further, the nature of the paths of the fluid particles have also been obtained with reference to the elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface.

DOI 10.11648/j.ajsea.20160505.11
Published in American Journal of Software Engineering and Applications (Volume 5, Issue 5, October 2016)
Page(s) 33-39
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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

Elastico-Viscous Fluid, Magnetic Parameter Porous Media, Mas Flow Rate, Second Order Fluid

References
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[2] K. Walters, “Relation between Coleman-Nall, Rivlin-Ericksen, Green-Rivlin and Oldroyd fluids”, ZAMP, 21, 1970 pp. 592-600.
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[23] S. B. Kulkarni, “Unsteady flow of an incompressible viscous electrically conducting fluid in tub of elliptical cross section under the influence of magnetic field”, International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8 (10), 2014, pp. 1311–1317.
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Author Information
  • Department of First Year Engineering (Science & Humanities), Finolex Academy of Management and Technology, Ratnagiri, India

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    Sanjay B. Kulkarni. (2017). Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary. American Journal of Software Engineering and Applications, 5(5), 33-39. https://doi.org/10.11648/j.ajsea.20160505.11

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    Sanjay B. Kulkarni. Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary. Am. J. Softw. Eng. Appl. 2017, 5(5), 33-39. doi: 10.11648/j.ajsea.20160505.11

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    Sanjay B. Kulkarni. Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary. Am J Softw Eng Appl. 2017;5(5):33-39. doi: 10.11648/j.ajsea.20160505.11

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  • @article{10.11648/j.ajsea.20160505.11,
      author = {Sanjay B. Kulkarni},
      title = {Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary},
      journal = {American Journal of Software Engineering and Applications},
      volume = {5},
      number = {5},
      pages = {33-39},
      doi = {10.11648/j.ajsea.20160505.11},
      url = {https://doi.org/10.11648/j.ajsea.20160505.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajsea.20160505.11},
      abstract = {Exact solution of an incompressible fluid of second order type by causing forced oscillations in the liquid of finite depth bounded by a porous bottom has been obtained in this paper. The results presented are in terms of non-dimensional elastic-viscosity parameter (β) which depends on the non-Newtonian coefficient and the frequency of excitation (σ) of the external disturbance while considering the porosity (K) and magnetic parameter (m) of the medium into account. The flow parameters are found to be identical with that of Newtonian case as β →0, m →0 and K→ ∞. It is seen that the effect of elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface has significant effect on the velocity parameter, phase parameter, skin friction and mass flow rate. Further, the nature of the paths of the fluid particles have also been obtained with reference to the elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface.},
     year = {2017}
    }
    

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    T1  - Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary
    AU  - Sanjay B. Kulkarni
    Y1  - 2017/01/13
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    T2  - American Journal of Software Engineering and Applications
    JF  - American Journal of Software Engineering and Applications
    JO  - American Journal of Software Engineering and Applications
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    PB  - Science Publishing Group
    SN  - 2327-249X
    UR  - https://doi.org/10.11648/j.ajsea.20160505.11
    AB  - Exact solution of an incompressible fluid of second order type by causing forced oscillations in the liquid of finite depth bounded by a porous bottom has been obtained in this paper. The results presented are in terms of non-dimensional elastic-viscosity parameter (β) which depends on the non-Newtonian coefficient and the frequency of excitation (σ) of the external disturbance while considering the porosity (K) and magnetic parameter (m) of the medium into account. The flow parameters are found to be identical with that of Newtonian case as β →0, m →0 and K→ ∞. It is seen that the effect of elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface has significant effect on the velocity parameter, phase parameter, skin friction and mass flow rate. Further, the nature of the paths of the fluid particles have also been obtained with reference to the elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface.
    VL  - 5
    IS  - 5
    ER  - 

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