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Numerical Investigation: Unsteady Flow of an Incompressible Elastico-Viscous Fluid in a Tube of Spherical Cross Section on a Porous Boundary

Received: 25 October 2016     Accepted: 22 November 2016     Published: 4 January 2017
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Abstract

Exact solution of an unsteady flow of elastico-viscous fluid through a porous media in a tube of spherical cross section under constant pressure gradient has been obtained in this paper. Initially, the flow is generated by a constant pressure gradient. After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion in a tube of spherical cross section by taking into account of the porosity factor of the bounding surface is investigated. The problem is solved in two-stages: the first stage is a steady motion in tube under the influence of a constant pressure gradient, the second stage concern with an unsteady motion. The problem is solved employing separation of variables technique. The results are expressed in terms of a non-dimensional porosity parameter, elastico-viscosity parameter, which depends on the Non-Newtonian coefficient. The flow parameters are found to be identical with that of Newtonian case as elastic-viscosity parameter and porosity tends to infinity. Numerical results were simulated in MATLAB software to analyze the effect of Elastico-viscous parameter, porosity parameter on the velocity profile. Boundary conditions were satisfied. It is seen that the effect of elastico-viscosity parameter, porosity parameter of the bounding surface has significant effect on the velocity parameter.

Published in Engineering and Applied Sciences (Volume 1, Issue 4)
DOI 10.11648/j.eas.20160104.11
Page(s) 66-73
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), 2017. Published by Science Publishing Group

Keywords

Elastico-Viscous Fluid, Numerical Simulation, Porous Media, Spherical Cross-Section

References
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    Sanjay B. Kulkarni, Hasim Chikte, Murali Mohan. (2017). Numerical Investigation: Unsteady Flow of an Incompressible Elastico-Viscous Fluid in a Tube of Spherical Cross Section on a Porous Boundary. Engineering and Applied Sciences, 1(4), 66-73. https://doi.org/10.11648/j.eas.20160104.11

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    ACS Style

    Sanjay B. Kulkarni; Hasim Chikte; Murali Mohan. Numerical Investigation: Unsteady Flow of an Incompressible Elastico-Viscous Fluid in a Tube of Spherical Cross Section on a Porous Boundary. Eng. Appl. Sci. 2017, 1(4), 66-73. doi: 10.11648/j.eas.20160104.11

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    AMA Style

    Sanjay B. Kulkarni, Hasim Chikte, Murali Mohan. Numerical Investigation: Unsteady Flow of an Incompressible Elastico-Viscous Fluid in a Tube of Spherical Cross Section on a Porous Boundary. Eng Appl Sci. 2017;1(4):66-73. doi: 10.11648/j.eas.20160104.11

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  • @article{10.11648/j.eas.20160104.11,
      author = {Sanjay B. Kulkarni and Hasim Chikte and Murali Mohan},
      title = {Numerical Investigation: Unsteady Flow of an Incompressible Elastico-Viscous Fluid in a Tube of Spherical Cross Section on a Porous Boundary},
      journal = {Engineering and Applied Sciences},
      volume = {1},
      number = {4},
      pages = {66-73},
      doi = {10.11648/j.eas.20160104.11},
      url = {https://doi.org/10.11648/j.eas.20160104.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eas.20160104.11},
      abstract = {Exact solution of an unsteady flow of elastico-viscous fluid through a porous media in a tube of spherical cross section under constant pressure gradient has been obtained in this paper. Initially, the flow is generated by a constant pressure gradient. After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion in a tube of spherical cross section by taking into account of the porosity factor of the bounding surface is investigated. The problem is solved in two-stages: the first stage is a steady motion in tube under the influence of a constant pressure gradient, the second stage concern with an unsteady motion. The problem is solved employing separation of variables technique. The results are expressed in terms of a non-dimensional porosity parameter, elastico-viscosity parameter, which depends on the Non-Newtonian coefficient. The flow parameters are found to be identical with that of Newtonian case as elastic-viscosity parameter and porosity tends to infinity. Numerical results were simulated in MATLAB software to analyze the effect of Elastico-viscous parameter, porosity parameter on the velocity profile. Boundary conditions were satisfied. It is seen that the effect of elastico-viscosity parameter, porosity parameter of the bounding surface has significant effect on the velocity parameter.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Numerical Investigation: Unsteady Flow of an Incompressible Elastico-Viscous Fluid in a Tube of Spherical Cross Section on a Porous Boundary
    AU  - Sanjay B. Kulkarni
    AU  - Hasim Chikte
    AU  - Murali Mohan
    Y1  - 2017/01/04
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    DO  - 10.11648/j.eas.20160104.11
    T2  - Engineering and Applied Sciences
    JF  - Engineering and Applied Sciences
    JO  - Engineering and Applied Sciences
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    EP  - 73
    PB  - Science Publishing Group
    SN  - 2575-1468
    UR  - https://doi.org/10.11648/j.eas.20160104.11
    AB  - Exact solution of an unsteady flow of elastico-viscous fluid through a porous media in a tube of spherical cross section under constant pressure gradient has been obtained in this paper. Initially, the flow is generated by a constant pressure gradient. After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion in a tube of spherical cross section by taking into account of the porosity factor of the bounding surface is investigated. The problem is solved in two-stages: the first stage is a steady motion in tube under the influence of a constant pressure gradient, the second stage concern with an unsteady motion. The problem is solved employing separation of variables technique. The results are expressed in terms of a non-dimensional porosity parameter, elastico-viscosity parameter, which depends on the Non-Newtonian coefficient. The flow parameters are found to be identical with that of Newtonian case as elastic-viscosity parameter and porosity tends to infinity. Numerical results were simulated in MATLAB software to analyze the effect of Elastico-viscous parameter, porosity parameter on the velocity profile. Boundary conditions were satisfied. It is seen that the effect of elastico-viscosity parameter, porosity parameter of the bounding surface has significant effect on the velocity parameter.
    VL  - 1
    IS  - 4
    ER  - 

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Author Information
  • Department of Science and Humanities, Finolex Academy of Management and Technology, Ratangiri, Maharashtra, India

  • Department of Mechanical Engineering, Finolex Academy of Management and Technology, Ratangiri, Maharashtra, India

  • Department of Mechanical Engineering, Finolex Academy of Management and Technology, Ratangiri, Maharashtra, India

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