Microstructural effects on the flow law of power-law fluids through fibrous media

被引:33
作者
Idris, Z
Orgéas, L
Geindreau, C
Bloch, JF
Auriault, JL
机构
[1] UJF, INPG, CNRS, Lab Sols Solides Struct 3S, F-38041 Grenoble, France
[2] Ecole Francaise Papeterie Grenoble, Lab Genie Proc Papetiers, INPG, F-38000 Grenoble, France
关键词
D O I
10.1088/0965-0393/12/5/016
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, the flow of power-law fluids through anisotropic fibrous media is revisited, upscaling the fluid flow at the pore scale with the homogenization method of multiple scale expansions for periodic structures. This upscaling technique permits a quantitative study of the seepage law by performing numerical simulation with simple two-dimensional periodic arrays of circular solid inclusions. The significant role of the solid fraction, the fluid rheology and the porous media anisotropy on the resulting macroscopic flow law is underlined from the simulation.
引用
收藏
页码:995 / 1015
页数:21
相关论文
共 36 条
[1]  
Advani S. G, 1994, RESIN TRANSFER MOLDI, P465
[2]  
[Anonymous], 1980, LECT NOTES PHYS
[3]   HETEROGENEOUS MEDIUM - IS AN EQUIVALENT MACROSCOPIC DESCRIPTION POSSIBLE [J].
AURIAULT, JL .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1991, 29 (07) :785-795
[4]   Filtration law for power-law fluids in anisotropic porous media [J].
Auriault, JL ;
Royer, P ;
Geindreau, C .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (10) :1151-1163
[5]  
Bensoussan A., 1978, ASYMPTOTIC ANAL PERI
[6]   PREFORM PERMEABILITY PREDICTIONS BY SELF-CONSISTENT METHOD AND FINITE-ELEMENT SIMULATION [J].
BERDICHEVSKY, AL ;
CAI, Z .
POLYMER COMPOSITES, 1993, 14 (02) :132-143
[7]   Homogenization of a polymer flow through a porous medium [J].
Bourgeat, A ;
Mikelic, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (07) :1221-1253
[8]   Study of permeability by periodic and self-consistent homogenisation [J].
Boutin, C .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2000, 19 (04) :603-632
[9]   FLOW OF GENERALIZED NEWTONIAN FLUIDS ACROSS A PERIODIC ARRAY OF CYLINDERS [J].
BRUSCHKE, MV ;
ADVANI, SG .
JOURNAL OF RHEOLOGY, 1993, 37 (03) :479-498
[10]   A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media [J].
Clague, DS ;
Phillips, RJ .
PHYSICS OF FLUIDS, 1997, 9 (06) :1562-1572