NUMERICAL SIMULATION OF TORTUOSITY FOR FLUID FLOW IN TWO-DIMENSIONAL PORE FRACTAL MODELS OF POROUS MEDIA

被引：46

作者：

Luo, Liang ^{[1
]}

Yu, Boming ^{[2
]}

Cai, Jianchao ^{[3
]}

Zeng, Xiangfeng ^{[4
]}

机构：

[1] Hunan Inst Sci & Technol, Coll Phys & Elect, Yueyang 414000, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China

[3] China Univ Geosci, Inst Geophys & Geomat, Wuhan 430074, Peoples R China

[4] Chinese Acad Sci, Inst Appl Ecol, Key Lab Pollut Ecol & Environm Engn, Shenyang 110016, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2014年 / 22卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Sierpinski Carpet; Tortuosity; Streamlines; Fractal; Pore Fractal Model; MELT CRYSTALLIZATION; GEOMETRY; PERMEABILITY; PREDICTION; DIFFUSION; PARTICLES; SIZE;

D O I：

10.1142/S0218348X14500157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The tortuosity is a very important parameter for description of fluid flow in porous media, and it has been shown that porous media in nature have the fractal characteristics. The Sierpinski carpet is an exactly self-similar fractal model, which is often used to simulate fractal porous media. In this work, the tortuosity of different generations of Sierpinski carpet is calculated and analyzed by the finite volume method. A simple linear relation between the generations and tortuosity in pore fractal model of porous media is obtained. The results are compared with the available conclusions and show a more realistic tortuosity predication for fluid flow in the two-dimensional pore fractal models of porous media.

引用

页数：7

共 33 条

[21] Tortuosity model for fixed beds randomly packed with identical particles [J].

Lanfrey, P. -Y. ;

Kuzeljevic, Z. V. ;

Dudukovic, M. P. .

CHEMICAL ENGINEERING SCIENCE, 2010, 65 (05) :1891-1896

[22] Tortuosity of Flow Paths through a Sierpinski Carpet [J].

Li Jian-Hua ;

Yu Bo-Ming .

CHINESE PHYSICS LETTERS, 2011, 28 (03)

[23] Symmetry is not always prefect [J].

Luo, Liang ;

Yu, Boming ;

Cai, Jianchao ;

Mei, Maofei .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2010, 53 (21-22) :5022-5024

[24] Tortuosity-porosity relation in porous media flow [J].

Matyka, Maciej ;

Khalili, Arzhang ;

Koza, Zbigniew .

PHYSICAL REVIEW E, 2008, 78 (02)

[25] Applications of fractals in soil and tillage research: A review [J].

Perfect, E ;

Kay, BD .

SOIL & TILLAGE RESEARCH, 1995, 36 (1-2) :1-20

[26] Models of the water retention curve for soils with a fractal pore size distribution [J].

Perrier, E ;

Rieu, M ;

Sposito, G ;

deMarsily, G .

WATER RESOURCES RESEARCH, 1996, 32 (10) :3025-3031

[27] Critical review of the impact of tortuosity on diffusion [J].

Shen, Lihua ;

Chen, Zhangxin .

CHEMICAL ENGINEERING SCIENCE, 2007, 62 (14) :3748-3755

[28] An analytical model for gas diffusion though nanoscale and microscale fibrous media [J].

Shou, Dahua ;

Fan, Jintu ;

Mei, Maofei ;

Ding, Feng .

MICROFLUIDICS AND NANOFLUIDICS, 2014, 16 (1-2) :381-389

[29] A difference-fractal model for the permeability of fibrous porous media [J].

Shou, Dahua ;

Fan, Jintu ;

Ding, Feng .

PHYSICS LETTERS A, 2010, 374 (10) :1201-1204

[30] Developing a novel form of thermal conductivity of nanofluids with Brownian motion effect by means of fractal geometry [J].

Xiao, Boqi ;

Yang, Yi ;

Chen, Lingxia .

POWDER TECHNOLOGY, 2013, 239 :409-414

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