Optimizing Permeability in Fractal Tree-like Branched Networks

被引：0

作者：

Kou, Jianlong ^{[1
,2
]}

Fan, Jintu ^{[2
]}

Liu, Yang ^{[3
]}

Wu, Fengmin ^{[1
]}

Xu, Yousheng ^{[1
]}

Lu, Hangjun ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[2] Hong Kong Polytech Univ, Inst Text & Clothing, Kowloon, Hong Kong, Peoples R China

[3] Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2010年 / 11卷

基金：

中国国家自然科学基金;

关键词：

optimizing permeability; fractal tree-like networks; geometrical parameter; BIFURCATING FLOW; MODEL; OPTIMIZATION; PARALLEL;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The overall permeability of composites with self-similar fractal tree-like networks is studied. Under the constraint of total volume, we derived a dimensionless expression of effective permeability and discussed in detail the relationship between the dimensionless effective permeability and the geometrical parameters of the tree-like network including diameter ratio, length ratio, branching number and fractal dimension. From the study, it was shown that, the dimensionless effective permeability of the tree-like network decreases with the increase of bifurcation number (N), branching length ratio (gamma), branching levels (m) or fractal dimensions of channel length (D) when other parameters are kept constant. It was also found that, the dimensionless effective permeability of the tree-like networks reaches maximum when the diameter ratio beta* satisfies beta* = N-1/Delta, where Delta = 3, N is the bifurcation number N=2, 3, 4, ...... This optimal diameter ratio for maximum effective permeability of the fractal tree-like networks obeys Murry's law, but does not obey the WBE model of plants.

引用

页码：47 / 55

页数：9

共 50 条

[41] Designing tree-like engineering networks by mimicking evolution
Walters, GA
DESIGN AND NATURE: COMPARING DESIGN IN NATURE WITH SCIENCE AND ENGINEERING, 2002, 3 : 37 - 46
[42] A permeability model for the fractal tree-like fracture network with self-affine surface roughness in shale gas reservoirs
Hu, Bowen
Wang, J. G.
Sun, Rui
Zhao, Zhiye
GEOMECHANICS AND GEOPHYSICS FOR GEO-ENERGY AND GEO-RESOURCES, 2024, 10 (01)
[43] Heat transfer and pressure drop in fractal tree-like microchannel nets
Chen, YP
Cheng, P
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2002, 45 (13) : 2643 - 2648
[44] THE DISTRIBUTION OF CYCLE TIMES IN TREE-LIKE NETWORKS OF QUEUES
HARRISON, PG
COMPUTER JOURNAL, 1984, 27 (01): : 27 - 36
[45] On an inverse problem for tree-like networks of elastic strings
Avdonin, Sergei
Leugering, Guenter
Mikhaylov, Victor
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2010, 90 (02): : 136 - 150
[46] A permeability model for the fractal tree-like fracture network with self-affine surface roughness in shale gas reservoirs
Bowen Hu
J. G. Wang
Rui Sun
Zhiye Zhao
Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2024, 10
[47] Tree-like structure in large social and information networks
Adcock, Aaron B.
Sullivan, Blair D.
Mahoney, Michael W.
2013 IEEE 13TH INTERNATIONAL CONFERENCE ON DATA MINING (ICDM), 2013, : 1 - 10
[48] On Multiple Topological Authentications In The Encryption of Tree-like Networks
Wang, Hongyu
Yao, Bing
PROCEEDINGS OF 2020 IEEE 4TH INFORMATION TECHNOLOGY, NETWORKING, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (ITNEC 2020), 2020, : 2017 - 2022
[49] Tree-like tableaux
Aval, Jean-Christophe
Boussicault, Adrien
Nadeau, Philippe
ELECTRONIC JOURNAL OF COMBINATORICS, 2013, 20 (04):
[50] Sparse networks tolerating random faults for tree-like and butterfly-like networks
Nomura, K
Yamada, T
Ueno, S
2000 IEEE ASIA-PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS: ELECTRONIC COMMUNICATION SYSTEMS, 2000, : 799 - 802

← 1 2 3 4 5 →