IMECH-IR  > 力学所知识产出(1956-2008)
A generalized model for the effective thermal conductivity of porous media based on self-similarity
Feng YJ; Yu BM(郁伯铭); Zou MQ; Zhang DM; Yu, BM (reprint author), Huazhong Univ Sci & Technol, Dept Phys, 1037 Luoyu Rd, Wuhan 430074, Peoples R China.
Source PublicationJournal of Physics D-Applied Physics
2004
Volume37Issue:21Pages:3030-3040
ISSN0022-3727
AbstractA generalized model for the effective thermal conductivity of porous media is derived based on the fact that statistical self-similarity exists in porous media. The proposed model assumes that porous media consist of two portions: randomly distributed non-touching particles and self-similarly distributed particles contacting each other with resistance. The latter are simulated by Sierpinski carpets with side length L = 13 and cutout size C = 3, 5, 7 and 9, respectively, depending upon the porosity concerned. Recursive formulae are presented and expressed as a function of porosity, ratio of areas, ratio of component thermal conductivities and contact resistance, and there is no empirical constant and every parameter has a clear physical meaning. The model predictions are compared with the existing experimental data, and good agreement is found in a wide range of porosity of 0.14-0.80, and this verifies the validity of the proposed model.
KeywordFractal Sandstone Pores Permeability Model Granular-materials Characters Fabrics Systems
DOI10.1088/0022-3727/37/21/014
Indexed BySCI
Language英语
WOS IDWOS:000225382500014
WOS KeywordFRACTAL SANDSTONE PORES ; PERMEABILITY MODEL ; GRANULAR-MATERIALS ; CHARACTERS ; FABRICS ; SYSTEMS
WOS Research AreaPhysics
WOS SubjectPhysics, Applied
Citation statistics
Cited Times:119[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/33735
Collection力学所知识产出(1956-2008)
Corresponding AuthorYu, BM (reprint author), Huazhong Univ Sci & Technol, Dept Phys, 1037 Luoyu Rd, Wuhan 430074, Peoples R China.
Recommended Citation
GB/T 7714
Feng YJ,Yu BM,Zou MQ,et al. A generalized model for the effective thermal conductivity of porous media based on self-similarity[J]. Journal of Physics D-Applied Physics,2004,37,21,:3030-3040.
APA Feng YJ,Yu BM,Zou MQ,Zhang DM,&Yu, BM .(2004).A generalized model for the effective thermal conductivity of porous media based on self-similarity.Journal of Physics D-Applied Physics,37(21),3030-3040.
MLA Feng YJ,et al."A generalized model for the effective thermal conductivity of porous media based on self-similarity".Journal of Physics D-Applied Physics 37.21(2004):3030-3040.
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