Open AccessFractal Derivative Model for Air Permeability in Hierarchic Porous Media
Author(s) -
Jie Fan,
JiHuan He
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/354701
Subject(s) - fractal , mathematics , porous medium , air permeability specific surface , permeability (electromagnetism) , porosity , derivative (finance) , mathematical analysis , composite material , materials science , chemistry , biochemistry , layer (electronics) , membrane , financial economics , economics
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
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