A diffusivity model for gas diffusion through fractal porous media

Chemical Engineering Science

Volumn 68, Issue 1, 2012, Pages 650-655

  Zheng, Qian ^a   Yu, Boming ^a   Wang, Shifang ^a   Luo, Liang ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Diffusion; Fractals; Gases; Mass transfer; Microstructure; Porous media

Indexed keywords

EFFECTIVE DIFFUSIVITIES; EXPERIMENTAL DATA; FRACTAL MODEL; FRACTAL POROUS MEDIA; FRACTAL THEORY; GAS DIFFUSION; GAS DIFFUSIVITY; MICROSTRUCTURAL PARAMETERS; PORE AREAS; POROSITY AND PORE SIZE; RAREFIED GAS;

FRACTAL DIMENSION; FRACTALS; GASES; MASS TRANSFER; MICROSTRUCTURE; POROSITY; POROUS MATERIALS;

DIFFUSION;

EID: 81055156605     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.10.031     Document Type: Article

References (35)

1. Adler P.M. Transports in fractal porous media. J. Hydrol. 1996, 187(1-2):195-213.
2. Adler P.M., Thovert J.-F. Real porous media: local geometry and macroscopic properties. Appl. Mech. Rev. 1998, 51(9):537-585.
3. Bear J. Dynamics of Fluids in Porous Media 1972, Wiley, New York.
4. Cai J., Sorensen C.M. Diffusion of fractal aggregates in the free molecular regime. Phys. Rev. E 1994, 50(5):3397-3400.
5. Cao L., He R. Gas diffusion in fractal porous media. Combust. Sci. Technol. 2010, 182(7-9):822-841.
6. Carman P.C. Flow of Gases Through Porous Media 1956, Butterworths Scientific Publications, London.
7. Comiti J., Renaud M. A new model for determining mean structure parameters of fixed beds from pressure drops measurements: application to beds packed with parallelepipedal particles. Chem. Eng. Sci. 1989, 44(9):1539-1545.
8. Costa M.H.A.S., Araujo A.D., da Silva H.F., Andrade J.S. Scaling behavior of diffusion and reaction processes in percolating porous media. Phys. Rev. E 2003, 67:061406-1-061406-5.
9. Crank J. The Mathematics of Diffusion 1975, Clarendon Press, London. 2nd ed.
10. Currie J.A. Gaseous diffusion in porous media. Part 2-dry granular materials. Br. J. Appl. Phys. 1960, 11:318-323.
11. Epstein N. On tortuosity and the tortuosity factor in flow and diffusion through porous media. Chem. Eng. Sci. 1989, 44(3):777-779.
12. Feder J. Fractals 1988, Plenum Press, New York.
13. Feng Y.J., Yu B.M., Zou M.Q., Zhang D.M. A generalized fractal geometry model for the effective thermal conductivity of porous media base on self-similarity. J. Phys. D: Appl. Phys 2004, 37:3030-3040.
14. Gefen Y., Aharony A., Alexander S. Anomalous diffusion on percolation clusters. Phys. Rev. Lett. 1983, 50(1):77-80.
15. Hasmy A., Olivi-Tran N. Diffusivity and pore distribution in fractal and random media. Phys. Rev. E 1999, 59(3):3012-3015.
16. Levitz P. From Knudsen diffusion to Levy walks. Europhys. Lett. 1997, 39(6):593-598.
17. Liu X.R. Research method on solid catalyzer-I. Determination of macroscopical material properties of catalyzer. Petrochem. Technol. 2000, 29(2):148-158. (Chinese).
18. Mandelbrot B.B. The Fractal Geometry of Nature 1982, W.H. Freeman, New York.
19. Marseguerra M., Zoia A. Pre-asymptotic corrections to fractional diffusion equations. Physica A 2008, 387:2668-2674.
20. Mason E.A., Malinauskas A.P. Gas Transport in Porous Media: The Dusty-Gas Model 1983, Elsevier, New York.
21. Metzler R., Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamic approach. Phys. Rep. 2000, 339(1):1-77.
22. Shen L.H., Chen Z.X. Critical review of the impact of tortuosity on diffusion. Chem. Eng. Sci. 2007, 62:3748-3755.
23. Thompson A.H., Katz A.J., Krohn C.E. The microgeometry and transport properties of sedimentary rocks. Adv. Phys. 1987, 36(5):625-694.
24. Thovert J.F., Wary F., Adler P.M. Thermal conductivity of random media and regular fractals. J. Appl. Phys. 1990, 68(8):3872-3883.
25. Wang S., Ma Z.F., Yao H.Q. Fractal diffusion model used for diffusion in porous material within limited volume of stiff container. Chem. Eng. Sci. 2009, 64(6):1318-1325.
26. Welty J.R., Wicks C.E., Wilson R.E. Fundamentals of Momentum, Heat, and Mass Transfer 1984, John Wiley and Sons, New York. 3rd ed.
27. Xu P., Yu B.M. Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry. Adv. Water Resour. 2008, 31(1):74-81.
28. Yang, Q.Q., 2010. Novel Analytical and Numerical Methods for Solving Fractional Dynamics Systems. Doctor Paper. Queensland University of Technology.
29. Yu B.M. Analysis of flow in fractal porous media. Appl. Mech. Rev. 2008, 61:050801-1-050801-19.
30. Yu B.M. Fractal character for tortuous streamtubes in porous media. Chin. Phys. Lett. 2005, 22(1):158-160.
31. Yu B.M., Cheng P. A fractal permeability model for bi-dispersed porous media. Int. J. Heat Mass Transfer 2002, 45(14):2983-2993.
32. Yu B.M., Lee L.J., Cao H.Q. Fractal characters of pore microstructures of textile fabrics. Fractals 2001, 9(2):155-163.
33. Yu B.M., Lee L.J., Cao H.Q. A fractal in-plane permeability model for fabrics. Polym. Compos. 2002, 23(2):201-221.
34. Yu B.M., Li J.H. Some fractal characters of porous media. Fractals 2001, 9(3):365-372.
35. Yun M.J., Yu B.M., Cai J.C. Analysis of seepage characters in fractal porous media. Int. J. Heat Mass Transfer 2009, 52:3272-3278.