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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/354701 |
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| _version_ | 1832552796201680896 |
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| author | Jie Fan Jihuan He |
| author_facet | Jie Fan Jihuan He |
| author_sort | Jie Fan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-9e37f8e1dbfa4f98896983e46f6f3477 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9e37f8e1dbfa4f98896983e46f6f34772025-02-03T05:57:46ZengWileyAbstract 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 |
| spellingShingle | Jie Fan Jihuan He Fractal Derivative Model for Air Permeability in Hierarchic Porous Media Abstract and Applied Analysis |
| title | 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_short | Fractal Derivative Model for Air Permeability in Hierarchic Porous Media |
| title_sort | fractal derivative model for air permeability in hierarchic porous media |
| url | http://dx.doi.org/10.1155/2012/354701 |
| work_keys_str_mv | AT jiefan fractalderivativemodelforairpermeabilityinhierarchicporousmedia AT jihuanhe fractalderivativemodelforairpermeabilityinhierarchicporousmedia |