Performance and Analysis of Flow between Annular Space Surrounded by a Rotating Coaxial cylinder with Co-axial Cylindrical Porous Medium

Anil Kumar¹ , G.C. Sharma²

1. Applied Science (Mathematics), Chandigarh Engineering College Landran, Mohali, India.
2. Department of Mathematical Sciences, Institute of Basic Sciences Khandari, Agra, India.

Correspondence should be addressed to: dranilkumar73@rediffmail.com .

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.1-6, Jun-2017

Online published on Jun 30, 2017

Copyright © Anil Kumar, G.C. Sharma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we consider the flow of second order fluid in the annular space between an impervious solid circular cylinder rotating with constant angular velocity and surrounded by the co-axial cylinder in the presence of porous medium. The flow in the annular free flow region is taken to be governed by the Navier- Stokes equations and in the porous region by the Brinkman equations. The case namely when the porous medium is finite region, has been considered when outer cylinder rotates with velocity (w). The solutions are obtained by using boundary and matching conditions at the surface of the interface. In case of finite region of porous medium, the rotation of cylinder decreases of the permeability.

Key-Words / Index Term :
Brinkman equations; Porous medium; Inner cylinder; Navier- Stokes equations; Matching Condition

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