✦ LIBER ✦

Green Function for a Stokes Flow near a Porous Slab

✍ Scribed by L. Elasmi; F. Feuillebois

Book ID: 101380393
Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 391 KB
Volume: 81
Category: Article
ISSN: 0044-2267
DOI: 10.1002/1521-4001(200111)81:11<743::aid-zamm743>3.0.co;2-4

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✦ Synopsis

Green Function for a Stokes Flow near a Porous Slab

The Green function of the Stokes equations for the creeping flow of a viscous fluid near a porous slab is calculated analytically. The flow in the porous slab is represented by Darcy equations and the boundary condition on the interface between the fluid and the porous medium is a slip condition proposed by Beavers and Joseph (1967) on the basis of experimental results. An alternative simpler condition in which a no-slip condition applies on the fluid side is also used for comparison. Streamlines then are calculated numerically and represented for various values of the parameters: porosity, slip length, thickness of the porous slab.

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