Отправлено: 25.03.11 06:54. Заголовок: Tortuosity of Flow Paths through a Sierpinski Carpet *

CHIN. PHYS. LETT. Vol. 28, No. 3 (2011) 034701
Tortuosity of Flow Paths through a Sierpinski Carpet *
LI Jian-Hua(АоЅЁ»Є)1, YU Bo-Ming(УфІ®Гъ)2**
1Biomedical Materials and Engineering Research Center, Wuhan University of Technology, Wuhan 430070
2School of Physics, Huazhong University of Science and Technology, Wuhan 430074
(Received 29 March 2010)
Sierpinski carpet is an exactly self-similar fractal, which is often used to simulate fractal porous media. A simple
recursive model for the tortuosity of flow path in Sierpinski carpet is derived based on the self-similarity of the
carpet. The proposed model is related to the stage of the carpet, and there is no empirical constant in this model.
The model predictions are compared with those from available correlations by both numerical and experimental
methods as well as analysis. Good agreement is found between the present model predictions and those from the
available correlations. The present model may have the potential in analysis of transport properties in self-similar
fractals.
PACS: 47.56.+r, 47.15.−x, 47.60.Dx DOI: 10.1088/0256-307X/28/3/034701