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 After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion in a tube of spherical cross section by taking into account of the porosity factor of the bounding surface is investigated.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. |
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Copyright © The Author(s), 2017. Published by Science Publishing Group |
Elastico-Viscous Fluid, Numerical Simulation, Porous Media, Spherical Cross-Section
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APA Style
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
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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Download@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}
}
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 PY - 2017 N1 - https://doi.org/10.11648/j.eas.20160104.11 DO - 10.11648/j.eas.20160104.11 T2 - Engineering and Applied Sciences JF - Engineering and Applied Sciences JO - Engineering and Applied Sciences SP - 66 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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