Tortuosity based on anisotropic diffusion process in structured plate-like obstacles by Monte Carlo simulation

Transport in Porous Media

Volumn 72, Issue 3, 2008, Pages 339-350

  Ohkubo, Takahiro ^a  

^a JAPAN ATOMIC ENERGY AGENCY   (Japan)

Author keywords

Monte Carlo; Structured porous media; Tortuosity

Indexed keywords

BENDING (DEFORMATION); COMPUTER SIMULATION; MONTE CARLO METHODS; PERCOLATION (FLUIDS); POROSITY; POROUS MATERIALS;

ANISOTROPIC DIFFUSION; KOPONEN'S EQUATION; TORTUOSITY;

DIFFUSION;

BENDING (DEFORMATION); COMPUTER SIMULATION; DIFFUSION; MONTE CARLO METHODS; PERCOLATION (FLUIDS); POROSITY; POROUS MATERIALS;

DIFFUSION; FLUID FLOW; MODELING; MONTE CARLO ANALYSIS; POROUS MEDIUM; TORTUOSITY;

EID: 39849108346     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9153-0     Document Type: Article

References (21)

1. Comiti J. and Renaud M. (1989). A new model for determining mean structure parameters of fixed beds from pressure drop measurement application to beds packed with parallelepipedal particles. Chem. Eng. Sci. 44: 1539-1545
2. Davis M.E. (2002). Ordered porous materials for emerging applications. Nature 417: 813-821
3. Dullien F.A.L. (1992). Porous Media: Fluid Transport and Pore Structure. Academic Press, London
4. Einstein A. (1926). Investigations on the Theory of Brownian Movement. Dover, New York
5. Johnson D.L., Plona T.J., Scala C., Pasierb F. and Kojima H. (1982). Tortuosity and acoustic slow waves. Phys. Rev. Lett. 49: 1840-1844
6. Kim J.H., Ochoa J.A. and Whitaker S. (1987). Diffusion in anisotropic porous media. Trans. Porous Med. 2: 327-356
7. Koponen A., Kataja M. and Timonen J. (1997). Permeability and effective porosity of porous media. Phys. Rev. E 56: 3319-3325
8. Matsumoto M. and Nishimura T. (1998). Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simul. 8: 3-30
9. Norrish K. (1954). The swelling of montmorillonite. Discuss. Faraday Soc. 18: 120-134
10. Olphen H.V. (1977). An Introduction to Clay Colloid Chemistry: For Clay Technologists, Geologists and Soil Scientists, 2. Wiley, New York
11. Pandey R.B., Stauffer D., Margilina A. and Zabolitzky G.J. (1984). Diffusion on random system above, below, and at their percolation threshold in two and three dimensions. J. Stat. Phys. 34: 427-450
12. Riley M.R., Muzzio F.J., Buettner H.M. and Reyes S.C. (1995). Diffusion in heterogeneous media: Application to immobilized cell systems. AIChE J. 41: 691-700
13. Sandry T.D. and Stevenson F.D. (1970). Molecular conductance from a curved surface through a cylindrical hole by Monte Carlo methods. J. Chem. Phys. 53: 151-155
14. Stauffer D. and Aharony A. (1992). Introduction to Percolation Theory. Taylor & Francis, London
15. Theodorou D. and Wei J. (1983). Diffusion and reaction in blocked and high occupancy zeolite catalysts. J. Catal. 83: 205-224
16. Trinh S., Arce P. and Locke B.R. (2000). Effective diffusivities of point-like molecules in isotropic porous media by monte carlo simulation. Trans. Porous Med. 38: 241-259
17. Trinh S., Locke B.R. and Arce P. (2002). Effective diffusivity tensors of point-like molecules in anisotropic porous media by monte carlo simulation. Trans. Porous Med. 47: 279-293
18. Uyeda C., Takeuchi T., Yamagishi A. and Date M. (1991). Diamagnetic orientation of clay mineral grains. J. Phys. Soc. Jpn. 60: 3234-3237
19. Uyeda C., Takeuchi T., Yamagishi A. and Date M. (1992). Diamagnetic orientation of layered silicates. Physica B 177: 519-522
20. Vamos C., Suciu N. and Vereecken H. (2003). Generalized random walk algorithm for the numerical modeling of complex diffusion processes. J. Comp. Phys. 186: 527-544
21. Zalc J.M., Reyes S.C. and Iglesia E. (2003). Monte-Carlo simulations of surface and gas phase diffusion in complex porous structures. Chem. Eng. Sci. 58: 4605-4617