Research on the effective gas diffusion coefficient in dry porous media embedded with a fractal-like tree network

被引：57

作者：

Zheng, Qian ^{[1
]}

Xu, Jian ^{[2
]}

Yang, Bin ^{[2
]}

Yu, Boming ^{[1
]}

机构：

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

[2] Beijing Inst Aerosp Microelectromech Technol, Beijing 100070, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2013年 / 392卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractal-like tree networks; Gas diffusion coefficient; Porous medium; GASEOUS-DIFFUSION; TORTUOSITY; GEOMETRY; FLOW; PERMEABILITY; MODELS;

D O I：

10.1016/j.physa.2012.12.003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A theoretical model for the relative gas diffusion coefficient in dry porous media embedded with a Y-shaped fractal-like tree network is presented under the combination of bulk diffusion and Knudsen diffusion. The proposed model is expressed as a function of the length ratio, the diameter ratio, the branching level, the branching angle and the relative areal porosity. The effect of the structural parameters of the medium and the tortuosity on gas diffusion is analyzed in detail. Model predictions are compared with available experimental data, and a fair agreement between them is found. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：1557 / 1566

页数：10

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