The effective thermal conductivity of porous media based on statistical self-similarity

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 374, Issue 1, 2009, Pages 62-65

  Kou, Jianlong ^a   Wu, Fengmin ^a   Lu, Hangjun ^a   Xu, Yousheng ^a   Song, Fuquan ^a  

^a ZHEJIANG NORMAL UNIVERSITY   (China)

Author keywords

Effective thermal conductivity; Fractal dimension; Porous media; Self similar

Indexed keywords

FRACTAL DIMENSION; POROUS MATERIALS;

EFFECTIVE THERMAL CONDUCTIVITY; EMPIRICAL CONSTANTS; FRACTAL POROUS MEDIA; MODEL PREDICTION; SATURATED POROUS MEDIA; SELF-SIMILAR; STATISTICAL SELF SIMILARITY; THERMAL-ELECTRICAL ANALOGY;

THERMAL CONDUCTIVITY;

EID: 71949106353     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.10.015     Document Type: Article

References (38)

1. Woodside W., and Messmer J.H. J. Appl. Phys. 32 (1961) 1699
2. Kaviany M. Principles of Heat Transfer in Porous Media (1995), Springer, New York
3. Prasad V., Kladias N., Bandyopadhaya A., and Tian Q. Int. J. Heat Mass Transfer 32 (1989) 1793
4. Misra K., Shrotriya A.K., Singh R., and Chaudhary D.R. J. Phys. D: Appl. Phys. 27 (1994) 732
5. Dul'nev G.N., Dorofeeva T.V., Volkov D.P., and Muratova B.L. J. Eng. Phys. 52 (1987) 87
6. Singh A.K., Singh R., and Chaudhary D.R. J. Phys. D: Appl. Phys. 23 (1990) 698
7. Hsu C.T., Cheng P., and Wong K.W. J. Heat Transfer 117 (1995) 264
8. He J.H. Comput. Methods Appl. Mech. Eng. 167 (1998) 57
9. Xie H.Q., Wang J.C., Xi T.G., Liu Y., Fand A., and Wu Q.W. J. Appl. Phys. 91 (2002) 4568
10. Zhang H.F., Ge X.S., and Ye H. Appl. Phys. Lett. 89 (2006) 081908
11. Bhowmick S., and Shenoy V.B. J. Chem. Phys. 125 (2006) 164513
12. Kou J.L., Liu Y., Wu F.M., Fan J.T., Lu H.J., and Xu Y.S. J. Appl. Phys. 106 (2009) 054905
13. Wu G.C., Zhao L., and He J.H. Chaos Solitons Fractals 42 (2009) 352
14. Wu H.J., Fan J.T., and Du N. Int. J. Nonlinear Sci. Num. 10 (2009) 291
15. Chen Q., Wang M.R., Pan N., and Guo Z.Y. Int. J. Nonlinear Sci. Num. 10 (2009) 57
16. Ramani K., and Vaidyanathan A. J. Compos. Mater. 29 (1995) 1725
17. Islam M.R., and Pramila A. J. Compos. Mater. 33 (1999) 1699
18. Bakker K. Int. J. Heat Mass Transfer 40 (1997) 3503
19. Havis C.R., Peterson G.P., and Fletcher L.S. J. Thermophys. 3 (1989) 416
20. Thovert J.F., Wary F., and Adler P.M. J. Appl. Phys. 68 (1990) 3872
21. Veyret D., Cioulachtjian S., Tadrist L., and Pantaloni J. ASME J. Heat Transfer 115 (1993) 866
22. Qian J.Y., Li Q., Yu K., and Xuan Y.M. Sci. China Ser. E 47 (2004) 716
23. Wang M.R., Wang J.K., Pan N., and Chen S.Y. Phys. Rev. E 75 (2007) 036702
24. Wang M.R., Wang J.K., Pan N., Chen S.Y., and He J.H. J. Phys. D: Appl. Phys. 40 (2007) 260
25. Krupiczka R. Int. Chem. Eng. 7 (1967) 122
26. Verma L.S., and Shrotriya A.K. J. Phys. D: Appl. Phys. 24 (1991) 1729
27. Katz A.J., and Thompson A.H. Phys. Rev. Lett. 54 (1985) 1325
28. Adler P.M. J. Hydrology 187 (1996) 195
29. Mandelbrot B.B. The Fractural Geometry of Nature (1982), Freeman, New York
30. Yu B.M., and Li J.H. Fractals 9 (2001) 365
31. Yu B.M. Appl. Mech. Rev. 61 (2008) 050801
32. Shi X.J., and Yu W.D. Int. J. Nonlinear Sci. Num. 10 (2009) 861
33. Zhao L., Wu G.C., and He J.H. Int. J. Nonlinear Sci. Num. 10 (2009) 897
34. Yu B.M., and Cheng P. J. Thermophys. Heat Transfer 16 (2002) 22
35. Feng Y.J., Yu B.M., Zou D M.Q., and Zhang M. J. Phys. D: Appl. Phys. 37 (2004) 3030
36. Ma Y.T., M Yu B., Zhang D.M., and Zou M.Q. J. Phys. D: Appl. Phys. 36 (2003) 2157
37. Yu B.M., and Cheng P. Int. J. Heat Mass Transfer 45 (2002) 2983
38. Wheatcraft S.W., and Tyler S.W. Water Resour. Res. 24 (1988) 566