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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 Publication | Journal of Physics D-Applied Physics |
2004 | |
Volume | 37Issue:21Pages:3030-3040 |
ISSN | 0022-3727 |
Abstract | A 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. |
Keyword | Fractal Sandstone Pores Permeability Model Granular-materials Characters Fabrics Systems |
DOI | 10.1088/0022-3727/37/21/014 |
Indexed By | SCI |
Language | 英语 |
WOS ID | WOS:000225382500014 |
WOS Keyword | FRACTAL SANDSTONE PORES ; PERMEABILITY MODEL ; GRANULAR-MATERIALS ; CHARACTERS ; FABRICS ; SYSTEMS |
WOS Research Area | Physics |
WOS Subject | Physics, Applied |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/33735 |
Collection | 力学所知识产出(1956-2008) |
Corresponding Author | Yu, 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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