A fractal resistance model for flow through porous media

被引：171
作者：
Wu, Jinsui
Yu, Boming
机构：
[1] Huazhong Univ Sci & Technol, Dept Phys, Wuhan 430074, Peoples R China
[2] N China Inst Sci & Technol, Dept Phys, Sanhe 06520, Peoples R China
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2007年 / 50卷 / 19-20期
基金：
中国国家自然科学基金;
关键词：
porous media; fractal; flow resistance; laminar flow;
D O I：
10.1016/j.ijheatmasstransfer.2007.02.009
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A fractal model for resistance of flow through porous media is developed based on the fractal characters of porous media and oil the pore-throat model for capillary. The proposed model is expressed as a function of the pore-throat ratio, porosity, property of fluid, pore/capillary and particle sizes, fluid velocity (or Reynolds number) and fractal dimensions of porous media. There is no empirical constant and every parameter has clear physical meaning in the proposed model. The model predictions are compared with experiment data, and good agreement is found between them. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3925 / 3932
页数：8
相关论文
共 32 条
[1]  
BIRD RB, 1960, TRANSPORT PHENOMENA, pCH6
[2]  
BORODICH FM, 1992, PMM-J APPL MATH MEC+, V56, P681, DOI 10.1016/0021-8928(92)90054-C
[3]   HEAT AND MASS TRANSFER IN FIXED AND FLUIDIZED BEDS OF LARGE PARTICLES [J].
BRADSHAW, RD ;
MYERS, JE .
AICHE JOURNAL, 1963, 9 (05) :590-595
[4]  
Denn M., 1980, Process Fluid Mechanics
[5]   Theoretical consideration of permeation resistance of fluid through a particle packed layer [J].
Endo, Y ;
Chen, DR ;
Pui, DYH .
POWDER TECHNOLOGY, 2002, 124 (1-2) :119-126
[6]  
ERGUN S, 1952, CHEM ENG PROG, V48, P89
[7]  
Feder J., 1988, Fractals. Physics of Solids and Liquids
[8]  
Feder J., 1989, FRACTALS PHYS
[9]  
HANDLEY D, 1968, T I CHEM ENG-LOND, V46, P251
[10]   PRESSURE DROP IN PACKED BEDS OF SPHERES [J].
HICKS, RE .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1970, 9 (03) :500-&
1234