Improved orthokinetic coagulation model for fractal colloids: Aggregation and breakup

Chemical Engineering Science

Volumn 61, Issue 1, 2006, Pages 45-53

  Kim, Jinwook ^a   Kramer, Timothy A ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Agglomeration; Aggregation; Breakage; Breakup; Coagulation; Fractal; Particle size distribution; Population balance model

Indexed keywords

AGGLOMERATION; COLLOIDS; COMPUTATIONAL FLUID DYNAMICS; FRACTALS; MATHEMATICAL MODELS; PARTICLE SIZE ANALYSIS;

BREAKAGE; BREAKUP; POPULATION BALANCE MODELS;

COAGULATION;

MODELING;

EID: 25644446109     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2005.01.044     Document Type: Conference Paper

References (38)

1. Batterham, R.J., Hall, J.S., Barton, G., 1981. Pelletizing kinetics and simulation of full scale balling circuits. International Symposium on Agglomeration (3rd), Nurnberg, pp. A136-A150.
2. R.K. Chakraborti, K.H. Gardner, J.F. Atkinson, and J.E. Van Benschoten Changes in fractal dimension during aggregation Water Research 37 2003 873 883
3. W. Chen, R.R. Fisher, and J.C. Berg Simulation of particle size distribution in an aggregation-breakup process Chemical Engineering Science 45 1990 3003 3006
4. C.A. Coulaloglou, and L.L. Tavlarides Description of interaction processes in agitated liquid-liquid dispersions Chemical Engineering Science 32 1977 1289 1297
5. Drake, R.L., 1972. In: Hidy, G.M., Brock, J.R. (Eds.). Topics in Current Aerosel Research. Pergamon, New York.
6. J.C. Flesch, P.T. Spicer, and S.E. Pratsinis Laminar and turbulent shear-induced flocculation of fractal aggregates A.I.Ch.E. Journal 45 1999 1114 1124
7. C.W. Gear Numerical Initial Value Problems in Ordinary Differential Equations 1971 Prentice-Hall Englewoods Cliffs, NJ
8. F. Gelbard, and J.H. Seinfeld Numerical solution of the dynamic equation for particulate systems Journal of Computational Physics 28 1978 357 375
9. F. Gelbard, Y. Tambour, and J.H. Seinfeld Sectional representation of simulating aerosol dynamics Journal of Colloid Interface Science 76 1980 541 556
10. P.J. Hill, and K.M. Ng New discretization procedure for the breakage equation A.I.Ch.E. Journal 41 1995 1204 1216
11. P.J. Hill, and K.M. Ng New discretization procedure for the agglomeration equation A.I.Ch.E. Journal 42 1996 727 741
12. M.J. Hounslow, R.L. Ryall, and V.R. Marshall A discretized population balance for nucleation, growth, and aggregation A.I.Ch.E. Journal 34 1988 1821 1832
13. S.J. Jung, R. Amal, and J.A. Raper Monitoring effects of shearing on floc structure using small-angle light scattering Powder Technology 88 1996 51 54
14. M. Kostoglou, and A.G. Konstandopoulos Evolution of aggregate size and fractal dimension during Brownian coagulation Journal of Aerosol Science 32 2001 1399 1420
15. T.A. Kramer Analytical solutions for bikinetic coagulation: incorporation of a maximum size class Journal of Colloid Interface Science 227 2000 16 23
16. T.A. Kramer, and M.M. Clark Influence of strain-rate on coagulation kinetics Journal of Environment Engineering ASCE 123 1997 444 452
17. T.A. Kramer, and M.M. Clark Incorporation of aggregate breakup in the simulation of orthokinetic coagulation Journal of Colloid Interface Science 216 1999 116 126
18. S. Kumar, and D. Ramkrishna On the solution of population balance equations by discretization - I. A fixed Pivot Technique Chemical Engineering Science 51 1996 1311 1332
19. Kusters, K.A., 1991. The influence of turbulence on aggregate of small particles in agitated vessels. Ph.D. Dissertation.
20. Letterman, R.D., Amirtharajah, A., O'Melia, C.R., 1999. In: Letterman, R.D. (Ed.). Water Quality and Treatment. McGraw-Hill, New York.
21. J.D. Litster, D.J. Smit, and M.J. Hounslow Adjustable discretized population balance for growth and aggregation A.I.Ch.E. Journal 41 1995 591 603
22. C.F. Lu, and L.A. Spielman Kinetics of floc breakage and agglomeration in agitated liquid suspensions Journal of Colloid Interface Science 103 1985 95 105
23. P. Marchal, R. David, J.P. Klein, and J. Villermaux Crystallization and precipitation engineering: I an efficient method for solving population balance in crystallization with agglomeration Chemical Engineering Science 43 1988 59 67
24. P. Meakin Fractal aggregates Advances in Colloid and Interface Science 28 1988 249 331
25. J.D. Pandya, and L.A. Spielman Floc breakage in agitated suspensions: effect of agitation rate Chemical Engineering Science 38 1982 1983 1992
26. D.P. Patil, J.R.G. Andrews, and P.H.T. Uhlherr Shear flocculation - kinetics of floc coalescence and breakage International Journal of Mineral Processing 61 2001 171 188
27. T.W. Peterson Similarity solutions for the population balance equation describing particle fragmentation Aerosol Science Technology 5 1986 93 101
28. C.L. Prasher Crushing and Grinding Process Handbook 1987 Wiley New York
29. D. Ramkrishna The status of population balance Reviews in Chemical Engineering 3 1985 49 95
30. A.D. Randolph, and M.A. Larson Theory of Particulate Processes 1988 Academic Press New York
31. T. Serra, and X. Casamitjana Effect of the shear and volume fraction on the aggregation and breakup of particles A.I.Ch.E. Journal 44 1998 1724 1730
32. M.V. Smoluchowski Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Losungen Zeitschrift für Physikalische Chemie 92 1917 129 168
33. P.T. Spicer, and S.E. Pratsinis Coagulation and fragmentation: universal steady-state particle-size distribution A.I.Ch.E. Journal 42 1996 1612 1620
34. M. Vanni Discretization procedure for the breakage equation A.I.Ch.E. Journal 45 1999 916 919
35. M. Vanni Approximate population balance equations for aggregation-breakage processes Journal of Colloid Interface Science 221 2000 143 160
36. J. Zhang, and X. Li Modeling particle-size distribution dynamics in a flocculation systems A.I.Ch.E. Journal 49 2003 1870 1882
37. R.M. Ziff New solutions to the fragmentation equation Journal of Physics A: Mathematical and General 24 1991 2821 2828
38. R.M. Ziff, and E.D. McGrady The kinetics of cluster fragmentation and depolymerisation Journal of Physica A: Mathematical and General 18 1985 3027 3037