Boundary conditions at the interface between fluid layer and fibrous medium

• Published in: International journal for numerical methods in fluids Vol. 60; no. 7; pp. 809 - 825
• Main Authors: Bai, H. X., Yu, P., Winoto, S. H., Low, H. T.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.07.2009; Wiley
• Subjects: Arrays; Boundary conditions; Coefficients; Computational fluid dynamics; Computational methods in fluid dynamics; cylinder array; effective viscosity; Exact sciences and technology; fibrous porous medium; Flows through porous media; Fluid dynamics; Fluid flow; Fluids; Fundamental areas of phenomenology (including applications); interface condition; Mathematical models; Nonhomogeneous flows; Permeability; Physics; shear jump; slip coefficient; Fibrous material; Pipe flow; Computational fluid dynamics; Digital simulation; Slip; Porous medium; Boundary conditions; Fluid layer; Velocity distribution; Permeability; Interfaces; Effective viscosity; Modelling; Periodic configuration; Boundary element method
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.1921

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.