Predicting the filtration of noncoagulating particles in depth filters

Chemical Engineering Science

Volumn 52, Issue 1, 1997, Pages 93-105

  Putnam, David D ^a   Burns, Mark A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

deposition; Depth filtration; modeling; particle adsorption; porous media

Indexed keywords

ADSORPTION; APPROXIMATION THEORY; DEPOSITION; FILTERS (FOR FLUIDS); FILTRATION; GRANULAR MATERIALS; PACKED BEDS; POROUS MATERIALS; RANDOM PROCESSES;

DEPTH FILTERS; DEPTH FILTRATION; DIMENSIONLESS MODEL PARAMETERS; INITIAL COLLECTION EFFICIENCY; PARTICLE ADSORPTION; SINGLE SHADOWING EXPONENT;

PARTICLES (PARTICULATE MATTER);

FILTERS; FILTRATION; PARTICLES;

EID: 0030617385     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(96)00367-3     Document Type: Article

References (39)

1. Adin, A. and Rebhun, M., 1987, Deep-bed filtration: accumulation-detachment model parameters. Chem. Engng Sci. 42, 1213-1219.
2. Beizaie, M., Wang, C. and Tien, C., 1981, A simulation model of particle deposition on single collectors. Chem. Engng Commun. 13, 153-180.
3. Chang, J. S. and Vigneswaran, S., 1990, Ionic strength in deep bed filtration. Water Res. 24, 1425-1430.
4. Chiang, H.-W. and Tien, C., 1985a, Dynamics of deep-bed filtration: analysis of two limiting situations. A.I.Ch.E. J. 31, 1349-1359.
5. Chiang, H.-W. and Tien, C., 1985b, Dynamics of deep-bed filtration: experiment. A.I.Ch.E. J. 31, 1360-1371.
6. Choo, C.-H. and Tien, C., 1995, Simulation of hydrosol deposition in granular media. A.I.Ch.E. J. 41, 1426-1442.
7. Danckwerts, P. V., 1952, Continuous flow systems: distribution of residence times. Chem. Engng Sci. 2, 1-13.
8. Davis, M. E., 1984, Numerical Methods and Modeling for Chemical Engineers. Wiley, New York, U.S.A.
9. Elimelech, M. and Song, L., 1992, Theoretical investigation of colloid separation from dilute aqueous suspensions by oppositely charged granular media. Separat. Sci. Technol. 2, 2-12.
10. Happel, J., 1958, Viscous flow in multiparticle systems: slow motion of fluids relative to beds of spherical particles. A.I.Ch.E. J. 4(2) 197-201.
11. Jung, Y. and Tien, C., 1993, Simulation of aerosol deposition in granular media. Aerosol Sci. Technol. 18, 418-440.
12. Mackie, R. I., Horner, R. M. W. and Jarvis, R. J., 1987, Dynamic modeling of deep-bed filtration. A.I.Ch.E. J. 33, 1761-1775.
13. O'Melia, C. R. and Ali, W., 1978, The role of retained particles in deep-bed filtration. Progress Water Technol. 10, 167-182.
14. Payatakes, A. C., Tien, C. and Turian, R. M., 1974a, Trajectory calculation of particle deposition in deep bed filtration: model formulation. A.I.Ch.E. J. 20, 889-899.
15. Payatakes, A. C., Tien, C. and Turian, R. M., 1974b, Trajectory calculation of particle deposition in deep bed filtration: case study of the effect of the dimensionless groups and comparison with experimental data. A.I.Ch.E. J. 20, 900-905.
16. Pendse, H. and Tien, C., 1982, A simulation model of aerosol collection in granular media. J. Colloid Interface Sci. 87(1), 225-241.
17. Rajagopalan, R., 1974, Stochastic modeling and experimental analysis of particle transport in water filtration. Ph.D. Dissertation, Syracuse University.
18. Rajagopalan, R. and Chu, R. Q., 1982, Dynamics of adsorption of colloidal particles in packed beds. J. Colloid Interface Sci. 86, 299-317.
19. Rajagopalan, R. and Tien, C., 1976, Trajectory analysis of deep-bed filtration with the sphere-in-cell porous media model. A.I.Ch.E. J. 22, 523-533.
20. Rajagopalan, R. and Tien, C., 1982, Letter to the editor, A.I.Ch.E. J., 28, 871-872.
21. Ramirez, W. F., 1989, Computational Methods for Process Simulation. Butterworths, Boston, MA, U.S.A.
22. Riley, R. J., 1987, The magnetically stabilized fluidized bed as a solid/liquid separator. M.S. Thesis, University of Michigan.
23. Sharma, S. K. and Mahendroo, P. P., 1980, Affinity chromatography of cells and cell membranes. J. Chromat. 184, 471-499.
24. Sherwood, T. K., Pigford, R. L. and Wilke, C. R., 1975, Mass Transfer. McGraw-Hill, New York, U.S.A.
25. Song, L. and Elimelech, M., 1993, Dynamics of colloid deposition in porous media: modeling the role of retained particles. Colloids Surf. 73, 49-63.
26. Spielman, L. A. and FitzPatrick, J. A., 1973, Theory for particle collection under London and gravity forces. J. Colloid Interface Sci. 42, 607-623.
27. Terranova, B. E. and Burns, M. A., 1991, Continuous cell suspension processing using magnetically stabilized fluidized beds. Biotechnol. Bioengng 37, 110-120.
28. Thomas, H., 1944, Heterogeneous ion exchange in a flowing system. J. Am. Chem. Soc. 66, 1664-1666.
29. Tien, C., 1984, Stochastic modeling of particle deposition on collectors. Math. Comput. Sim. XXVI, 355-356.
30. Tien, C., 1989, Granular Filtration of Aerosols and Hydrosols. Butterworths, Boston, U.S.A.
31. Tien, C. and Payatakes, C., 1979 Advances in deep bed filtration. A.I.Ch.E. J. 25, 737-759.
32. Tien, C., Wang, C.-S. and Barot, D. T., 1977, Chainlike formation of particle deposits in fluid-particle separation. Science 196, 983-985.
33. Tobiason, J. E. and O'Melia, C. R., 1988, Physicochemical aspects of particle removal in depth filtration. J. AWWA 80, 54-64.
34. Vaidyanathan, R. and Tien, C., 1989, Hydrosol deposition in granular beds - an experimental study. Chem. Engng Commun. 81, 123-144.
35. Vaidyanathan, R. and Tien, C., 1991, Hydrosol deposition in granular media under unfavorable surface conditions. Chem. Engng Sci. 46, 967-983.
36. Vigneswaran, S. and Aim, B. R., 1985, The influence of suspended particle size distribution in deep-bed filtration. A.I.Ch.E. J. 312, 321-324.
37. Vigneswaran, S. and Song, C. J., 1986, Mathematical modeling of the entire cycle of deep bed filtration. Water Air Soil Pollut. 29, 155-164.
38. Vigneswaran, S. and Tulachan, R. K., 1988, Mathematical modeling of transient behavior of deep bed filtration. Water Res. 22, 1093-1100.
39. Wang, C.-S., Beizaie, M. and Tien, C., 1977, Deposition of solid particles on a collector: formulation of a new theory. A.I.Ch.E. J. 23, 879-889.