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Boundary conditions at the interface between fluid layer and fibrous medium
Author(s) -
Bai H. X.,
Yu P.,
Winoto S. H.,
Low H. T.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1921
Subject(s) - darcy's law , porous medium , materials science , permeability (electromagnetism) , mechanics , boundary layer , representative elementary volume , boundary value problem , darcy number , porosity , composite material , mathematics , physics , chemistry , mathematical analysis , turbulence , reynolds number , microstructure , membrane , biochemistry , nusselt number
The flow through a channel partially filled with fibrous porous medium was analyzed to investigate the interfacial boundary conditions. The fibrous medium was modeled as a periodic array of circular cylinders, in a hexagonal arrangement, using the boundary element method. The area and volume average methods were applied to relate the pore scale to the representative elementary volume scale. The permeability of the modeled fibrous medium was calculated from the Darcy's law with the volume‐averaged Darcy velocity. The slip coefficient, interfacial velocity, effective viscosity and shear jump coefficients at the interface were obtained with the averaged velocities at various permeabilities or Darcy numbers. Copyright © 2008 John Wiley & Sons, Ltd.