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

D. Shou; Jintu Fan; F. Ding

doi:10.1016/j.physleta.2010.01.002

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

D. Shou, Jintu Fan, F. Ding

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

79 Citations (Scopus)

Abstract

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. © 2010 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1201-1204
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	10
DOIs	https://doi.org/10.1016/j.physleta.2010.01.002
Publication status	Published - 22 Feb 2010

Keywords

Difference-fractal
Fiber radius
Fibrous porous media
Permeability
Porosity

ASJC Scopus subject areas

General Physics and Astronomy

More information

10.1016/j.physleta.2010.01.002

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abstract = "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. {\textcopyright} 2010 Elsevier B.V. All rights reserved.",

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AU - Fan, Jintu

AU - Ding, F.

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N2 - 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. © 2010 Elsevier B.V. All rights reserved.

AB - 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. © 2010 Elsevier B.V. All rights reserved.

KW - Difference-fractal

KW - Fiber radius

KW - Fibrous porous media

KW - Permeability

KW - Porosity

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VL - 374

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EP - 1204

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 10

ER -

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

Abstract

Keywords

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