A difference-fractal model for the permeability of fibrous porous media

被引：86

作者：

Shou, Dahua ^{[1
]}

Fan, Jintu ^{[1
]}

Ding, Feng ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Inst Text & Clothing, Kowloon, Hong Kong, Peoples R China

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 10期

关键词：

Permeability; Fibrous porous media; Difference-fractal; Porosity; Fiber radius; INPLANE PERMEABILITY; VISCOUS FLOW; DIFFUSION; CYLINDERS; ARRAYS;

D O I：

10.1016/j.physleta.2010.01.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter. a difference-fractal model for the permeability of viscous flow through fibrous porous media is proposed. Since fractal objects have well-defined geometric properties, and are discrete and discontinuous, we apply the difference approach to developing the fractal model. The model of non-dimensional permeability is expressed as a function of porosity and fractal dimension. To verify the validity of the proposed model, the predicted permeability values are compared with those of experimental measurements. A good agreement between the prediction of the fractal model and the existing experimental data from the literature is found. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1201 / 1204

页数：4

共 41 条

[1]

Brown R. C., 1993, J AEROSOL SCI, DOI DOI 10.1016/0021-8502(95)90072-1

[2]

Chen Q, 2009, INT J NONLIN SCI NUM, V10, P57

[3] 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

[4] AEROSOL FILTERS .I. THEORY OF PRESSURE DROP ACROSS SINGLE COMPONENT GLASS FIBRE FILTERS [J].

CLARENBURG, LA ;

PIEKAAR, HW .

CHEMICAL ENGINEERING SCIENCE, 1968, 23 (07) :765-+

[5]

Denn MM., 1980, PROCESS FLUID MECH

[6] Experimental characterization of in-plane permeability of gas diffusion layers [J].

Feser, J. P. ;

Prasad, A. K. ;

Advani, S. G. .

JOURNAL OF POWER SOURCES, 2006, 162 (02) :1226-1231

[7] SOLVABLE FRACTAL FAMILY, AND ITS POSSIBLE RELATION TO THE BACKBONE AT PERCOLATION [J].

GEFEN, Y ;

AHARONY, A ;

MANDELBROT, BB ;

KIRKPATRICK, S .

PHYSICAL REVIEW LETTERS, 1981, 47 (25) :1771-1774

[8] CRITICAL PHENOMENA ON FRACTAL LATTICES [J].

GEFEN, Y ;

MANDELBROT, BB ;

AHARONY, A .

PHYSICAL REVIEW LETTERS, 1980, 45 (11) :855-858

[9] In-plane and through-plane gas permeability of carbon fiber electrode backing layers [J].

Gostick, Jeff T. ;

Fowler, Michael W. ;

Pritzker, Mark D. ;

Ioannidis, Marios A. ;

Behra, Leya M. .

JOURNAL OF POWER SOURCES, 2006, 162 (01) :228-238

[10] VISCOUS FLOW RELATIVE TO ARRAYS OF CYLINDERS [J].

HAPPEL, J .

AICHE JOURNAL, 1959, 5 (02) :174-177

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