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Heat Conduction and Characteristic Size of Fractal Porous Media |
| WANG Wei-Wei1,2;HUAI Xiu-Lan1;TAO Yu-Jia1 |
| 1Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080
2Graduate School of Chinese Academy of Sciences, Beijing 100049 |
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| Cite this article: |
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WANG Wei-Wei, HUAI Xiu-Lan, TAO Yu-Jia 2006 Chin. Phys. Lett. 23 1511-1514 |
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Abstract Based on fractal theory, two types of random Sierpinski carpets (RSCs) and their periodic structures are generated to model the structures of natural porous media, and the heat conduction in these structures is simulated by the finite volume method. The calculated results indicate that in a certain range of length scales, the size and spatial arrangement of pores have significant influence on the effective thermal conductivity, and the heat conduction presents the aeolotropic characteristic. Above the length scale, however, the influence of size and spatial arrangement of pores on the effective thermal conductivity reduces gradually with the increasing characteristic size of porous media, the aeolotropic characteristic is weakened gradually. It is concluded that the periodicity in structures of porous media is not equal to the periodicity in heat conduction.
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44.10.+i
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Published: 01 June 2006
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