Tortuosity of unsaturated porous fractal materials

被引:17
作者
Coleman, S. W. [1 ]
Vassilicos, J. C.
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, London SW7 2BY, England
来源
PHYSICAL REVIEW E | 2008年 / 78卷 / 01期
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1103/PhysRevE.78.016308
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The tortuosity of a capillary-condensed film of inviscid fluid adsorbed onto fractal substrates as a function of the filling fraction of the fluid has been calculated numerically. This acts as a way of probing the multiscale structure of the objects. It is found that the variation of tortuosity alpha with filling fraction phi is found to follow a power law of the form alpha similar to phi(-epsilon) for both deterministic and stochastic fractals. These numerically calculated exponents are compared to exponents obtained from a phenomenological scaling and good agreement is found, particularly for the stochastic fractals.
引用
收藏
页数:11
相关论文
共 32 条
[1]   Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems [J].
Al-Raoush, RI ;
Willson, CS .
JOURNAL OF HYDROLOGY, 2005, 300 (1-4) :44-64
[2]  
ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[3]   FRACTON DIMENSION OF A MUTUALLY SELF-SIMILAR SERIES OF BASE-CATALYZED AEROGELS [J].
ANGLARET, E ;
HASMY, A ;
COURTENS, E ;
PELOUS, J ;
VACHER, R .
JOURNAL OF NON-CRYSTALLINE SOLIDS, 1995, 186 :131-136
[4]   Transverse sound in helium filled aerogel [J].
Babuin, S ;
Golov, AI .
JOURNAL OF LOW TEMPERATURE PHYSICS, 2004, 134 (1-2) :333-338
[5]   Manufacture, characterisation and application of cellular metals and metal foams [J].
Banhart, J .
PROGRESS IN MATERIALS SCIENCE, 2001, 46 (06) :559-U3
[6]  
Barabasi A.-L., 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
[8]   Transport properties of saturated and unsaturated porous fractal materials [J].
Coleman, S. W. ;
Vassilicos, J. C. .
PHYSICAL REVIEW LETTERS, 2008, 100 (03)
[9]   Mechanisms for gas adsorption and desorption in silica aerogels: The effect of temperature [J].
Detcheverry, F ;
Kierlik, E ;
Rosinberg, ML ;
Tarjus, G .
LANGMUIR, 2004, 20 (19) :8006-8014
[10]   Local mean-field study of capillary condensation in silica aerogels [J].
Detcheverry, F ;
Kierlik, E ;
Rosinberg, ML ;
Tarjus, G .
PHYSICAL REVIEW E, 2003, 68 (06)