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Fractal geometry model for effective thermal conductivity of three-phase porous media | |
Ma YT; Yu BM(郁伯铭); Zhang DM; Zou MQ; Yu, BM (reprint author), Huazhong Univ Sci & Technol, Dept Phys, 1037 Luoyu Rd, Wuhan 430074, Peoples R China. | |
Source Publication | Journal of Applied Physics
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2004 | |
Volume | 95Issue:11Pages:6426-6434 |
ISSN | 0021-8979 |
Abstract | An approximate model, a fractal geometry model, for the effective thermal conductivity of three-phase/unsaturated porous media is proposed based on the thermal-electrical analogy technique and on statistical self-similarity of porous media. The proposed thermal conductivity model is expressed as a function of porosity (related to stage n of Sierpinski carpet), ratio of areas, ratio of component thermal conductivities, and saturation. The recursive algorithm for the thermal conductivity by the proposed model is presented and found to be quite simple. The model predictions are compared with the existing measurements. Good agreement is found between the present model predictions and the existing experimental data. This verifies the validity of the proposed model. (C) 2004 American Institute of Physics. |
Keyword | Self-similarity Heat-conduction Prediction Composites |
DOI | 10.1063/1.1703820 |
Indexed By | SCI |
Language | 英语 |
WOS ID | WOS:000221657300071 |
WOS Keyword | SELF-SIMILARITY ; HEAT-CONDUCTION ; PREDICTION ; COMPOSITES |
WOS Research Area | Physics |
WOS Subject | Physics, Applied |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/33803 |
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 | Ma YT,Yu BM,Zhang DM,et al. Fractal geometry model for effective thermal conductivity of three-phase porous media[J]. Journal of Applied Physics,2004,95,11,:6426-6434. |
APA | Ma YT,Yu BM,Zhang DM,Zou MQ,&Yu, BM .(2004).Fractal geometry model for effective thermal conductivity of three-phase porous media.Journal of Applied Physics,95(11),6426-6434. |
MLA | Ma YT,et al."Fractal geometry model for effective thermal conductivity of three-phase porous media".Journal of Applied Physics 95.11(2004):6426-6434. |
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