Fractal Derivative Model for Air Permeability in Hierarchic Porous Media

Fractal Derivative Model for Air Permeability in Hierarchic Porous Media

Air permeability in hierarchic porous media does not obey Fick's equation or its modification because fractal objects have well-defined geometric properties, which are discrete and discontinuous. We propose a theoretical model dealing with, for the first time, a seemingly complex air permeabili...

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Main Authors: Jie Fan, Jihuan He
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/354701
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spelling doaj-9e37f8e1dbfa4f98896983e46f6f34772020-11-24T21:07:21ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/354701354701Fractal Derivative Model for Air Permeability in Hierarchic Porous MediaJie Fan0Jihuan He1Key Laboratory of Advanced Textile Composites, Ministry of Education of China, 399 West Binshui Road, Tianjin 300387, ChinaNational Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, ChinaAir permeability in hierarchic porous media does not obey Fick's equation or its modification because fractal objects have well-defined geometric properties, which are discrete and discontinuous. We propose a theoretical model dealing with, for the first time, a seemingly complex air permeability process using fractal derivative method. The fractal derivative model has been successfully applied to explain the novel air permeability phenomenon of cocoon. The theoretical analysis was in agreement with experimental results.http://dx.doi.org/10.1155/2012/354701
collection DOAJ
language English
format Article
sources DOAJ
author Jie Fan
Jihuan He
spellingShingle Jie Fan
Jihuan He
Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
Abstract and Applied Analysis
author_facet Jie Fan
Jihuan He
author_sort Jie Fan
title Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
title_short Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
title_full Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
title_fullStr Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
title_full_unstemmed Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
title_sort fractal derivative model for air permeability in hierarchic porous media
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description Air permeability in hierarchic porous media does not obey Fick's equation or its modification because fractal objects have well-defined geometric properties, which are discrete and discontinuous. We propose a theoretical model dealing with, for the first time, a seemingly complex air permeability process using fractal derivative method. The fractal derivative model has been successfully applied to explain the novel air permeability phenomenon of cocoon. The theoretical analysis was in agreement with experimental results.
url http://dx.doi.org/10.1155/2012/354701
work_keys_str_mv AT jiefan fractalderivativemodelforairpermeabilityinhierarchicporousmedia
AT jihuanhe fractalderivativemodelforairpermeabilityinhierarchicporousmedia
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