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ARPN Journal of Science and Technology >> Volume 7, Issue 1, January 2017

ARPN Journal of Science and Technology


Viscous Flow through Porous Media between Two Moving Parallel Disks: Exact Solutions and Stability Analysis

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Author P. M. Balagondar, M. Kempegowda
ISSN 2225-7217
On Pages 474-478
Volume No. 2
Issue No. 5
Issue Date June 01, 2012
Publishing Date June 01, 2012
Keywords Viscous fluid, exact solution, porous media.



Abstract

In this paper the viscous fluid flow through porous media moving between two moving parallel disks is considered. These disks are considered to be moving towards or away from each other with a constant velocity q. Here we obtain the exact analytical solution by using the method of separation of variables of the Navier-Stokes equations with the Darcy term for flow through porous medium. The graph of the stationary solutions is depicted. The motion near the stagnation point, the periodical one-dimensional perturbation is applied and found that the movement of disks determines the stability of the solution. That is when the disks are moving towards the solution is stable and disks are moving in opposite directions the solution is unstable up to certain level after which the amplitude decreases rapidly, owing to dissipation. Stationary solutions in the form of jets are studied, which gives two components the first one is the motion corresponding to the potential flow and second one is the jet behavior (non-potential flow component).


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