"Mixing rules" for estimating the hydraulic permeability of fiber mixtures

AIChE Journal

Volumn 54, Issue 1, 2008, Pages 32-41

  Mattern, Kristin J ^a   Deen, William M ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Darcy permeability; Electrokinetics; Fibers; Fluid mechanics

Indexed keywords

DARCY PERMEABILITY; ELECTROKINETICS; HYDRAULIC PERMEABILITIES;

APPROXIMATION THEORY; ERROR ANALYSIS; HYDRAULIC CONDUCTIVITY; MIXING;

FLUID MECHANICS;

APPROXIMATION THEORY; ERROR ANALYSIS; FLUID MECHANICS; HYDRAULIC CONDUCTIVITY; MIXING;

EID: 38149140118     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11350     Document Type: Article

References (19)

1. Deen WM, Satvat B, Jamieson JM. Theoretical model for glomerular filtration of charged solutes. Am J Physiol. 1980;238:F126-F139.
2. Edwards A, Daniels BS, Deen WM. Hindered transport of macromolecules in isolated glomeruli. II. Convection and pressure effects in basement membranes. Biophys J. 1997;72:214-222.
3. Maroudas A, Mizrahi J, Haim EB, Ziv I. Swelling pressure in cartilage. In: Staub N, Hogg J, Hargens A, editors. Intersitional-Lymphatic Liquid and Solute Movement, Vol. 13. Basel, Switzerland: Karger, 1987:203-212.
4. Levick JR. Flow through interstitium and other fiberous matrices. Q J Exp Physiol. 1987;72:409.
5. Drummond JE, Tahir MI. Laminar viscous flow through regular arrays of parallel solid cylinders. Int J Multiphase Flow. 1984;10:515-540.
6. Jackson GW, James DF. The permeability of fibrous porous media. Can J Chem Eng. 1986;64:364-374.
7. Sangani AS, Acrivos A. Slow flow past periodic arrays of cylinders with application to heat transfer. Int J Multiphase Flow. 1982;8:193-206.
8. Chammas P, Federspiel WJ, Eisenberg SR. A microcontinuum model of electrokinetic coupling in the extracellular matrix: perturbation formulation and solution. J Colloid Interface Sci. 1994;168:526-538.
9. Clague DS, Kandhai BD, Zhang R, Sloot PMA. Hydraulic permeability of (un)bounded fibrous media using the lattice Boltzmann method. Phys Rev E: Stat Nonlin Soft Matter Phys. 2000;61:616-625.
10. Clague DS, Phillips RJ. A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media. Phys Fluids A. 1997;9:1562-1572.
11. Spielman L, Goren SL. Model for predicting pressure drop and filtration efficiency in fibrous media. Environ Sci Technol. 1968;2:279-287.
12. Edwards DA, Shapiro M, Bar-Yoseph P, Shapira M. The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders. Phys Fluids A. 1990;2:45-55.
13. Ethier CR. Flow through mixed fibrous porous materials. AIChE J. 1991;37:1227-1236.
14. Jackson GW, James DF. The hydrodynamic resistance of hyaluronic acid and its contribution to tissue permeability. Biorheology. 1982;19:317-330.
15. Eisenberg SR, Grodzinsky AJ. Electrokinetic micromodel of extracellular matrix and other polyelectrolyte networks. Physico Chem Hydrodyn. 1988;10:517-539.
16. Ethier CR. Hydrodynamics of Flow through Gels with Applications to the Eye, SM Thesis. Cambridge, MA: Department of Mechanical Engineering, Massachusetts Institute of Technology, 1983.
17. Onsager L. Theories and problems of liquid diffusion. Ann NY Acad Sci. 1945;96:241-265.
18. Stigter D. Electrophoresis of highly charged colloidal cylinders in univalent salt solutions. I. Random orientation in external field and application to polyelectrolytes. J Phys Chem. 1978;82:1424-1429.
19. Chammas P. Electromechanical Coupling in Articular Cartilage: An Electrokinetic Micromodel and Experimental Results, SM Thesis. Boston, MA: Department of Biomedical Engineering, Boston University, 1989.