A continuum approach to multiphase flows in porous media

Journal of Porous Media

Volumn 2, Issue 3, 1999, Pages 295-308

  Liu, Shijie ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007454143     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v2.i3.60     Document Type: Article

References (46)

1. Agarwal, P. K. and O'Neil, B. K., Transport phenomena in multiparticle systems - I. Pressure drop and friction factors: unify-ing the hydraulic-radius and submerged-object approaches, Chem. Engng. Sci., vol. 43, pp. 2487-2499, 1988.
2. Albright, M. A., Packed tower distributors tested, Hydrocarb. Process., September, pp. 173-177, 1984.
3. Andersson, K. E. B., Pressure drop in ideal fluidization, Chem. Engng. Sci., vol. 15, pp. 276-297, 1961.
4. Bear, J., Dynamics of Fluids in Porous Media, Dover, New York, 1972.
5. Bear, J. and Bachmat, Y., Introduction to Modeling of Transport Phenomena in Porous Media, Kluwer, 1990.
6. Bemer, G. G. and Zuiderweg, F. J., Radial liquid spread and maldistribution in packed columns under different wetting conditions, Chem. Engng. Sci., vol. 33, pp. 1637-1643, 1978.
7. Brenner, H., Dispersion resulting from flow through spatially periodic porous media, Philos. Trans. R. Soc. Lond., vol. A297, pp. 81-133, 1980.
8. Brinkman, H. C., A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl. Sci. Res., vol. A1, pp. 27-34, 1949.
9. Chihla, Z. and Schmidt, O., A study of the flow of liquid when freely tricking over the packing in a cylindrical tower, Coll. Czech. Chem. Commun., vol. 22, pp. 896-907, 1957.
10. Coats, K. H. and Smith, B. D., Dead-end pore volume and dispersion in porous media, SPEJ, vol. 4, pp. 73-84, 1964.
11. Comiti, J. and Renaud, M., A new model for determining mean structure parameters of fixed beds from pressure drop measurements: application to beds packed with parallelepipedal particles, Chem. Engng. Sci., vol. 44, pp. 1539-1545, 1989.
12. Darcy, H. P. G., Les fontaines publique de la ville de Dijon, Victor Dalmount, Paris (English translation by Muskat, M., Flow of Homogeneous Fluids Through Porous Media, McGraw-Hill, New York, 1937).
13. de la Cruz, V. and Spanos, T. J. T., Mobilization of oil gasglia, AIChE J., vol. 29, pp. 854-858, 1983.
14. Dullien, F. A. L., Porous Media, Fluid Transport and Pore Structure, second edition, Academic Press: Toronto.
15. Du Plessis, J. P., High Reynolds number flow through granular porous media, Computational Methods in Water Resources IX, vol. 2: Mathematical Modelling in Water Resources, edited by T. F. Russel, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Finder, Computational Mechanics Publications, Boston.
16. Dutkai, E. and Ruckenstein, E. 1968 Liquid distribution in packed columns, Chem. Engng. Sci., vol. 23, pp. 1365-1373, 1968.
17. Geankoplis, C. J., Transport Processes and Unit Operations, 3rd edit., Prentice-Hall, Englewood Cliffs, NJ.
18. Givler, R. C. and Altobelli, S. A., A determination of the effective viscosity for the Brinkman-Forchheimer flow model, J. Fluid Mech. vol. 258, pp. 355-370, 1994.
19. Hoek, P. J., Wesselingh, J. A. and Zuiderweg, F. J., Small scale and large scale liquid maldistribution in packed columns, Chem. Engng. Res. Des., vol. 64, pp. 431-449, 1986.
20. Hsu, C. T. and Cheng, P., Thermal dispersion in a porous medium, Int. J. Heat Mass Transfer, vol. 33, pp. 1587-1597, 1990.
21. Jameson, G. J., A model for liquid distribution in packed columns and trickle-bed reactors, Trans. Instn. Chem. Engrs., vol. 44, pp. 198-206, 1966.
22. Kalaydjian, F., A macroscopic description of multiphase flow in porous media involving spacetime evolution of fluid/fluid interface, Transp. Porous Media, vol. 2, pp. 537-552, 1987.
23. Kalaydjian, F., Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media, Transp. Porous Media, vol. 5, pp. 215-229, 1990.
24. Koch, D. L. and Brady, J. F., Dispersion in fixed beds, J. Fluid Mech., vol. 154, pp. 399-427, 1985.
25. Liu, S., Afacan, A., and Masliyah, J. H., Laminar flow through porous media, Chem. Engng. Sci., vol. 49, pp. 3565-3586, 1994.
26. Liu, S. and Masliyah, J. H., Single fluid flow in porous media, Chem. Engng. Commun., vol. 148-150, pp. 653-732, 1996.
27. Lundgren, T. S., Slow flow through stationary random beds and suspensions of spheres, J. Fluid Mech., vol. 51, pp. 273-299, 1972.
28. Ma, H. and Ruth, D. W., The microscopic analysis of high Forchheimer number flow in porous media, Transp. in Porous Media, vol. 13, pp. 139-160, 1993.
29. Mauret, E. and Renaud, M., Transport phenomena in multiparticle systems - II. Proposed new model based on flow around submerged objects for sphere and fiber beds-transition between the capillary and particulate representations, Chem. Engng. Sci., vol. 52, pp. 1819-1834, 1997.
30. Muskat, M., The Flow of Homogeneous Fluids Through Porous Media, McGraw-Hill, New York, 1937.
31. Nandakumar, K. and Masliyah, J. H., Laminar flow past a permeable sphere, Can. J. Chem. Engng., vol. 60, pp. 202-211, 1982.
32. Neale, G., Epstein, N., and Nader, W., Creeping flow relative to permeable spheres, Chem. Engng. Sci., vol. 28, pp. 1865-1874, 1973.
33. Onda, K., Takeuchi, H., Maeda, Y., and Takeuchi, N., Liquid distribution in a packed column, Chem. Engng. Sci., vol. 28, pp. 1677-1683, 1973.
34. Porter, K. E., Barnett, V. D., and Templeman, J. J., Liquid flow in packed columns, part II: The spread of liquid over random packings, Trans. IChemE., vol. 46, pp. T74-T85, 1968.
35. Richards, L. A., Capillary conduction of liquids through porous media, Physics, vol. 1, pp. 318-333, 1931.
36. Rose, W., Measuring transport coefficient necessary for the description of coupled two-phase flow of immiscible fluids in porous media, Transp. in Porous Media, vol. 3, pp. 163-171, 1988.
37. Scott, A. H., Liquid distribution in packed towers, Trans. Instn. Chem. Engrs., vol. 13, pp. 211-217, 1935.
38. Slattery, J. C., Single-phase flow through porous media, AIChE J., vol. 15, pp. 866-872, 1969.
39. Spanos, T. J. T., de la Cruz, V., Hube, J., and Sharma, R. C., An analysis of Buckley-Leverett theory, J. Can. Petrol. Tech., vol. 25, pp. 71-75, 1986.
40. Suman, R. and Ruth, D. W., Formation factor and tortuosity of homogeneous porous media, Transp. in Pawns Media, vol. 12, pp. 185-206, 1993.
41. Tour, R. S. and Lerman, F., Unconfined distribution of liquid in tower packing, Trans. AIChE, vol. 35, pp. 719, 1939.
42. Trebal, R. E., Mass-Transfer Operations, 3rd edit., McGraw-Hill, Toronto, 1980.
43. Welty, J. R., Wicks, C. E., and Wilson, R. E., Fundamentals of Momentum, Heat, and Mass Transfer, 2nd edit., John Wiley & Sons, Toronto.
44. Whitaker, S., The equations of motion in porous media, Chem. Engng. Sci., vol. 21, pp. 291-300, 1966.
45. Whitaker, S., Row in porous media II: The governing equations for immiscible, two-phase flow, Transp. in Porous Media, vol. 1, pp. 105-125, 1986.
46. Zuiderweg, F. J., Kunesh, J. G., and King, D. W., A model for the calculation of the effect of maldistribution on the efficiency of a packed column, Trans. IChemE., vol. 71, pp. 38-44, 1993.