A Fractal Model for the Transverse Thermal Dispersion Conductivity in Porous Media
YU Bo-Ming1, LI Jian-Hua2
1Department of Physics and the State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
2Research Center of Biomedical Materials Engineering, Wuhan University of Technology, Wuhan 430070
A Fractal Model for the Transverse Thermal Dispersion Conductivity in Porous Media
YU Bo-Ming1;LI Jian-Hua2
1Department of Physics and the State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
2Research Center of Biomedical Materials Engineering, Wuhan University of Technology, Wuhan 430070
Abstract： A quasi-analytical model, i.e. the fractal model, for the transverse thermal dispersion conductivity in porous media is presented based on the fractal characteristics of tortuous flow paths/streamlines in porous media. The fractal dimension of tortuous flow paths, the spatial deviation velocity and the transverse thermal dispersion conductivity are derived. The proposed model is expressed as functions of the fractal dimension of tortuous flow paths/streamlines, Peclet number, porosity and structural parameters. The present results are compared with those from the existing correlation, and good agreement is found between the present model predictions and those from the existing correlation.
YU Bo-Ming;LI Jian-Hua. A Fractal Model for the Transverse Thermal Dispersion Conductivity in Porous Media[J]. 中国物理快报, 2004, 21(1): 117-120.
YU Bo-Ming, LI Jian-Hua. A Fractal Model for the Transverse Thermal Dispersion Conductivity in Porous Media. Chin. Phys. Lett., 2004, 21(1): 117-120.
2004, Vol. 21 
