scholarly journals Fractal geometry model for effective thermal conductivity of three-phase porous media

2004 ◽  
Vol 95 (11) ◽  
pp. 6426-6434 ◽  
Author(s):  
Yongting Ma ◽  
Boming Yu ◽  
Duanming Zhang ◽  
Mingqing Zou
2009 ◽  
Vol 106 (5) ◽  
pp. 054905 ◽  
Author(s):  
Jianlong Kou ◽  
Yang Liu ◽  
Fengmin Wu ◽  
Jintu Fan ◽  
Hangjun Lu ◽  
...  

2012 ◽  
Vol 496 ◽  
pp. 12-16
Author(s):  
Fang Long Zhu ◽  
De Hong Xia ◽  
Yu Zhou

The current paper deals with the fractal effective thermal conductivity model for fibrous porous media containing unsaturated water moisture. The model is based on the thermal-electrical analogy and statistical self-similarity of porous media. The fractal effective thermal conductivity model can be expressed as a function of the pore structure (fractal dimension) and architectural parameters of porous media. It is expected that the model will be helpful in the evaluation of thermal comfort for textiles in the whole range of porosity.


Author(s):  
Fabio Gori ◽  
Sandra Corasaniti

The aim of the present paper is to determine the effective thermal conductivity of three-phase soils, made of a quasi-spherical solid grain, and surrounded by two phase, which can be water and air or water and ice. The effective thermal conductivity is obtained theoretically by integrating the conduction equation under the thermal distribution of parallel heat fluxes in steady-state. The effective thermal conductivity is evaluated at a given degree of porosity (ratio between the void volume and the total one) and different degrees of saturation (ratio between the water volume and the void one) from dryness up to saturation. Comparisons between experimental data and theoretical predictions confirm that the present model can predict the effective thermal conductivity with a fairly good agreement without using any empirical constant.


2011 ◽  
Vol 320 ◽  
pp. 353-358
Author(s):  
Yu Feng Shi ◽  
Wen Ce Sun ◽  
Li Hua Shi ◽  
Jing Cui

Effective thermal conductivity of granular porous media is investigated by experimental and numerical methods. Using the unsteady heat conduction formula of semi-infinite body, effective thermal conductivity is obtained by measuring temperature field of the experimental system. In this experiment, solid particle is pebble and pore fluid is water or brine with salinity of 20.2%. Granular porous media is not applicable for fractal method, therefore based on structural character of granular porous media; two-dimensional cylinder model is used to calculate effective thermal conductivity of granular porous media in this paper. The simulation results correspond well with the experimental results. This proves that calculating effective thermal conductivity of granular porous media by using this two-dimensional model is accurate. This model could be extrapolated to unsaturated porous media. Research shows that effective thermal conductivity increases logarithmically with the increasing of saturation.


2007 ◽  
Vol 50 (7-8) ◽  
pp. 1295-1301 ◽  
Author(s):  
Ricardo P. Dias ◽  
Carla S. Fernandes ◽  
Manuel Mota ◽  
José A. Teixeira ◽  
Alexander Yelshin

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