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Green Function for a Stokes Flow near a Porous Slab
Author(s) -
Elasmi L.,
Feuillebois F.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200111)81:11<743::aid-zamm743>3.0.co;2-4
Subject(s) - streamlines, streaklines, and pathlines , slab , porous medium , slip (aerodynamics) , porosity , mechanics , stokes flow , boundary value problem , fluid dynamics , stream function , materials science , flow (mathematics) , geology , geometry , physics , geotechnical engineering , mathematics , mathematical analysis , thermodynamics , vorticity , geophysics , vortex
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.