Toward the Problem of Low Re Flows Through Linerarly Elastic Porous Media (2018)
Type of ContentConference Contributions - Published
PublisherSpringer International Publishing
An isotropic elastic porous structure whose initial geometry is regular (periodically uniform) will experience non-uniform deformation when a viscous fluid flows through the matrix under the influence of an externally applied pressure difference. In such a case, the flow field will experience a non uniform pressure gradient whose magnitude increases in the direction of bulk flow. The closed solution to the problem of low Re flow through deformable porous media requires the simultaneous solution of the flow field in the void space and of the stress distribution in the solid matrix. The focus of the current study is to attempt to predict the pressure distribution of the flow field based only on the geometry of the media. The intention is to eventually simplify the coupled fluid-solid problem by replacing explicitly solution of the flow field with a pressure boundary condition in the stress distribution of the solid matrix.
CitationBecker SM (2018). Toward the Problem of Low Re Flows Through Linerarly Elastic Porous Media. Christchruch NZ: IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. 12/02/2018-15/02/2018. 34. 173-183.
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Keywordsnon-uniform; porous media; parallelepiped; viscous
ANZSRC Fields of Research40 - Engineering::4017 - Mechanical engineering
RightsAll rights reserved unless otherwise stated
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Becker, S.; Lehmann, S. (University of Canterbury. Mechanical Engineering, 2015)The work presented concerns laminar flow through a porous media whose pore length scales vary in the direction of bulk fluid flow. The goal is to be able to predict local pressure and flow data without having to explicitly ...
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