Extensions to three-dimensional flow in a porous channel

Hewitt, R.E. and Duck, P.W. and Al-Azhari, M. (2003) Extensions to three-dimensional flow in a porous channel. Fluid Dynamics Research, 33. pp. 17-39.

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We consider the ow of a viscous, incompressible uid contained between two parallel, porous walls. The ow is driven by a spatially uniform injection/suction of uid through the bounding walls. We extend the solution structure of previous investigations to a more general three-dimensional stagnation-point form which can capture a whole range of phenomena in a single class of states. In particular, we show that this form of solution contains states previously discussed under more restrictive assumptions on the ow ÿeld. We show that a range of two- and three-dimensional states exist, together with symmetry-broken solutions and periodic states. We discuss the stability of these states and relate the previous results of Drazin, Banks, Zaturska and co-workers to those of Goldshtik and Javorsky on the �bifurcation to swirl� and of Hewitt and Duck on non-axisymmetric von Karman fows.

Item Type: Article
Uncontrolled Keywords: Exact Navier-Stokes solutions porous channel self-similar
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 47 Fluid dynamics
Depositing User: Dr Richard E. Hewitt
Date Deposited: 14 Nov 2013
Last Modified: 20 Oct 2017 14:13
URI: https://eprints.maths.manchester.ac.uk/id/eprint/2047

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