Green function for a Stokes flow near a porous slab (Q2765235)

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scientific article; zbMATH DE number 1694347
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Green function for a Stokes flow near a porous slab
scientific article; zbMATH DE number 1694347

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    17 July 2003
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    creeping flow
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    porous slab
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    Darcy equations
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    Green function
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    Beavers-Joseph boundary condition
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    Green function for a Stokes flow near a porous slab (English)
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    The authors study analytically the Green function of Stokes equations for creeping flow of a viscous fluid near a porous slab. The flow in the porous slab is governed by Darcy equations together with Beavers-Joseph slip boundary condition on the interface between the fluid and the porous medium. 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 porosity, slip length, and the thickness of the porous slab.
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