Prediction of effective diffusivity tensors for bulk diffusion with chemical reactions in porous media

Brazilian Journal of Chemical Engineering

Volumn 24, Issue 1, 2007, Pages 47-60

  Borges Da Silva, E A ^a   Souza, D P ^a   Ulson De Souza, A A ^a   Guelli U De Souza, S M A ^a  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

Author keywords

Closure problems; Effective diffusivity tensor; Method of volume averaging; Porous media

Indexed keywords

DIFFUSION; MASS TRANSFER; NUMERICAL METHODS; PORE SIZE; POROUS MATERIALS;

EFFECTIVE DIFFUSIVITY TENSOR; TRANSPORT COEFFICIENTS; VOLUME AVERAGING METHOD;

TENSORS;

EID: 34250181703     PISSN: 01046632     EISSN: None     Source Type: Journal    
DOI: 10.1590/s0104-66322007000100005     Document Type: Article

References (26)

1. Asif, M. and Abasaeed, A. E., Modeling of Glucose Isomerization in a Fluidized Bed Immobilized Enzyme Bioreactor, Bioresource Technology, 64, p. 229-235 (1998).
2. Beenackers, J. A. W. M., Kuster, B. F. M., and van der Baan, H. S., Adsorption of Carbohydrates on Anion Exchangers, Applied Catalysis, 23, p. 183-197 (1986).
3. Borges da Silva, E. A., Estudo da Transferência de Massa em Unidades de Leito Móvel Simulado Reativo. Ph.D. diss., Federal University of Santa Catarina (2004).
4. Bravo, V., Jurado, E., Luzón, G., and Cruz, N., Kinetics of Fructose-Glucose Isomerization with Sweetzyme Type A, The Can. Jour, of Chem. Eng., 76, p. 778-783 (1998).
5. Brenner, H., Dispersion Resulting from Flow through Spatially Periodic Porous Media, Trans. Roy. Soc. (London), 297, p. 81-133 (1980).
6. Chang, H. C., Effective Diffusion and Conduction in Two Phase Media: A Unified Approach, A.I.Ch.E. Journal, 29, p. 846-853 (1983).
7. Crapiste, G. H., Rotstein, E., and Whitaker, S., A General Closure Scheme for the Method of Volume Averaging, Chem. Eng. Sci., 41, No. 2, p. 227-235 (1986).
8. Guelli U. de Souza, S. M. A. and Whitaker, S., Mass Transfer in Porous Media with Heterogeneous Chemical Reaction, Brazilian Journal of Chemical Engineering, 20, No.2, p. 191-199 (2003).
9. Linko, P., Poutanen, K., and Linko, Y., Reactor Performance in Glucose Isomerization by Cellulose Bead Immobilized Actinoplanes Cells, Journal of Molecular Catalysis, 13, p. 263-278 (1981).
10. Maliska, C. R., Transferência de Calor e Mecânica dos Fluidos Computacional. LTC - Livros Técnicos e Científicos S.A., Rio de Janeiro, RJ (1995).
11. Nguyen, V. V., Gray, W. G., Pinder, G. F., Botha, J. F., and Crerar, D. A., A Theoretical Investigation on the Transport of Chemicals in Reactive Porous Media, Water Resources Research, 18, No. 4, p. 1149-1156 (1982).
12. Nozad, I., Carbonell, R. G., and Whitaker, S., Heat Conduction in Multiphase Systems I. Theory and Experiment for Two-phase Systems, Chem. Eng. Sci., 40, p. 843-855 (1985).
13. Ochoa-Tapia, J. A., Stroeve, P., and Whitaker, S., Diffusion and Reaction in Cellular Media, Chem. Eng. Sci., 41, No. 12, p. 2999-3013 (1986).
14. Ochoa-Tapia, J. A., Stroeve, P., and Whitaker, S., Diffusive Transport in Two-phase Media: Spatially Periodic Models and Maxwell's Theory for Isotropie and Anisotropie Systems, Chem. Eng. Sci., 49, No. 5, p. 709-726 (1994).
15. Palazzi, E. and Converti, A., Evaluation of Diffusional Resistances in the Process of Glucose Isomerization to Fructose by Immobilized Glucose Isomerase, Enzyme and Microbial Technology, 28, p. 246-252 (2001).
16. Perrins, W. T., McKenzie, D. R., and McPhedran, R. C., Transport-Properties of Regular Arrays of Cylinders. Proc. Roy. Soc. Lond. A369, p. 207-225 (1979).
17. Plumb, O. A. and Whitaker, S., Diffusion, Adsorption, and Dispersion in Heterogeneous Porous Media: The Method of Large-Scale Averaging. In Dynamics of Fluids in Hierarchical Porous Media, J. H. Cushman, Academic Press, New York (1990).
18. Quintard, M. and Whitaker, S., Transport in Ordered and Disordered Porous Media: Volume-Averaged Equations, Closure Problems and Comparison with Experiments, Chem. Eng. Sci., 48, No. 14, p. 2537-2564 (1993).
19. Quintard, M. and Whitaker, S., Convection, Dispersion and Interfacial Transport of Contaminants: Homogeneous Porous Media, Advances in Water Resources, 17, p. 221-239 (1994).
20. Quintard, M. and Whitaker, S., Transport in Chemically and Mechanically Heterogeneous Porous Media. IV: Large-Scale Mass Equilibrium for Solute Transport with Adsorption, Adv. in Water Research, 22, No. 1, p. 33-57 (1998).
21. Ryan, D., Carbonell, R. G., and Whitaker, S., A Theory of Diffusion and Reaction in Porous Media, A.I.Ch.E. Symposium Series, 77, No. 202, p. 46-62 (1981).
22. Straatsma, J., Vellenga, K., Wilt, H. J., and Joosten, G. H., Isomerization of Glucose to Fructose. 2. Optimization of Reaction Conditions in the Production of High Fructose Syrup by Isomerization of Glucose Catalyzed by a Whole Cell Immobilized Glucose Isomerase Catalyst, Ind. Eng. Chem. Process Des. Dev., 22, 356-361 (1983).
23. Ulson de Souza, A. A. and Whitaker, S., The Modeling of a Textile Dying Process Utilizing the Method of Volume Averaging, Brazilian Journal of Chemical Engineering, 20, No.4, p. 445-453 (2003).
24. Whitaker, S., Theory and Applications of Transport in Porous Media: The Method of Volume Averaging. London: Kluwer Academic (1999).
25. Wood, B. D. and Whitaker, S., Diffusion and Reaction in Biofilms, Chem. Eng. Sci., 53, No. 3, p. 397425 (1998).
26. Wood, B. D. and Whitaker, S., Multi-species Diffusion and Reaction in Biofilms and Cellular Media, Chem. Eng. Sci., 55, p. 3397-3418 (2000).