Analysis of the effective thermal conductivity of fractal porous media

Applied Thermal Engineering

Volumn 27, Issue 17-18, 2007, Pages 2815-2821

  Huai, Xiulan ^a   Wang, Weiwei ^a,b   Li, Zhigang ^a,b  

^a INSTITUTE OF ENGINEERING THERMOPHYSICS   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Effective thermal conductivity; Fractal; Porous media

Indexed keywords

FINITE VOLUME METHOD; FRACTALS; POROSITY; THERMAL CONDUCTIVITY;

EFFECTIVE THERMAL CONDUCTIVITY; POWER FUNCTION;

POROUS MATERIALS;

EID: 34548105988     PISSN: 13594311     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.applthermaleng.2007.01.031     Document Type: Article

References (19)

1. Adler P.M., and Thovert J.F. Fractal porous media. Transport Porous Med 13 (1993) 41-78
2. Bear J. Dynamics of Fluids in Porous Media (1972), American Elsevier, New York pp. 13-26
3. Dathe A., and Thullner M. The relationship between fractal properties of solid matrix and pore space in porous media. Geoderma 129 (2005) 279-290
4. Falconer K.J. Fractal Geometry: Mathematical Foundations and Applications (2003), Wiley, Chichester, New York pp. 251-255
5. Hunt A.G. Basic transport properties in natural porous media: continuum percolation theory and fractal model. Complexity 10 3 (2005) 22-37
6. Lin T.R. Introduction to Heat and Mass Transfer in Porous Media (1995), Science Press, Beijing, China pp. 109-128 (in Chinese)
7. Katz A.J., and Thompson A.H. Fractal sandstone pores: implication for conductivity and pore formation. Phys. Rev. Lett. 54 (1985) 1325-1328
8. Nield D.A. Estimation of the stagnant thermal conductivity of saturated porous media. Int. J. Heat Mass Transfer 34 (1991) 1575-1576
9. Perrier E., Bird N., and Rieu M. Generalizing the fractal model of soil structure: the pore-solid fractal approach. Geoderma 88 (1999) 137-164
10. Prasad V., Kladias N., Bandyopadhaya A., and Tian Q. Evaluation of correlations for stagnant thermal conductivity of liquid-staterated porous beds of spheres. Int. J. Heat Mass Transfer 32 (1989) 1793-1796
11. Roy S., and Tarafdar S. Archie's law from a fractal model for porous rocks. Phys. Rev. B 55 (1997) 8038-8041
12. Sen P.N., Scala C., and Cohen M.H. A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads. Geophysics 46 (1981) 781-795
13. Stanley H.E. Application of fractal concepts to polymer statistics and to anomalous transport in randomly porous media. J. Stat. Phys. 36 (1984) 843-860
14. Tao W.Q. Numerical Heat Transfer. second ed. (2001), Xi'an Jiaotong University Press, Xi'an, China pp. 80-82 92-98 (in Chinese)
15. Tarafdar S., Franz A., Schulzky C., and Hoffmann K.H. Modelling porous structures by repeated Sierpinski carpets. Physica A 292 (2000) 1-8
16. Thovert J.F., Wary F., and Adler P.M. Thermal conductivity of random media and regular fractals. J. Appl. Phys. 68 8 (1990) 3872-3883
17. Williams J.K., and Dawe R.A. Fractals - an overview of potential applications to transport in porous media. Transport Porous Med 1 (1986) 201-209
18. Yu B.M. Advances of fractal analysis of transport properties for porous media. Adv. Mech. 33 (2003) 333-346 (in Chinese)
19. Yuan L.Y., and Tao R. Experimental study of the conductivity exponent for some Sierpinski carpets. Phys. Lett. A 116 (1986) 284-286