Statistics of Multiple Particle Breakage Accounting for Particle Shape

AIChE Journal

Volumn 50, Issue 5, 2004, Pages 937-952

  Hill, Priscilla J ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Breakage; Particle size distribution; Population balance equations; Shape factor distribution; Solids processing

Indexed keywords

COMPUTER SIMULATION; CRUSHING; INTEGRATION; PROBABILITY; STATISTICS;

DISTRIBUTION FUNCTION; MULTIPLE PARTICLE BREAKAGE ACCOUNTING;

PARTICLE SIZE ANALYSIS;

PROCESSING TECHNIQUE;

ARTICLE; CALCULATION; EXPERIMENT; MASS; MODEL; PARTICLE SIZE; PROBABILITY; SIMULATION; SOLID; STATISTICS; THEORY;

EID: 2342504021     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.10091     Document Type: Article

References (33)

1. Allen, T., Particle Size Measurement, 2nd Edition, Chapman & Hall, London (1975).
2. Bravi, M., S. DiCave, and B. Mazzarotta, "Attrition Behaviour of Different Crystals in Stirred Vessels at Just Off-bottom Suspension Conditions," Proc. 14th Int. Symp. Ind. Cryst., Inst. of Chemical Engineers, Rugby, UK, pp. 1341-1351 (1999).
3. Buffham, B. A., "The Size and Compactness of Particles of Arbitrary Shape: Application to Catalyst Effectiveness Factors," Chem. Eng. Sci., 55, 5803 (2000).
4. Conti, R., and A. W. Nienow, "Particle Abrasion at High Solids Concentration in Stirred Vessels-II," Chem. Eng. Sci., 35, 543 (1980).
5. Dalla Valle, J. M., and F. H. Goldman, "Volume-Shape Factor of Particulate Matter," Ind Eng. Chem., Anal. Ed., 11, 545 (1939).
6. Diemer, R. B., Jr., "Moment Methods for Coagulation, Breakage and Coalescence Problems," Ph.D. Dissertation, Univ. of Delaware, Newark, DE (1999).
7. Diemer, R. B., and J. H. Olson, "A Moment Methodology for Coagulation and Breakage Problems: Part 3-Generalized Daughter Distribution Functions," Chem. Eng. Sci., 57, 4187 (2002).
8. Ennis, B. J., J. Green, and R. Davies, "Particle Technology: The Legacy of Neglect in the U.S.," Chem. Eng. Prog., 90(4), 32 (1994).
9. Gahn, C., J. Krey, and A. Mersmann, "The Effect of Impact Energy and the Shape of Crystals on Their Attrition Rate," J. Cryst. Growth, 166, 1058 (1996).
10. Gahn, C., and A. Mersmann, "Brittle Fracture in Crystallization Processes. Part A and Part B," Chem. Eng. Sci., 54, 1273 (1999).
11. Gerstlauer, A., A. Mitrovic, S. Motz, and E.-D. Gilles, "A Population Model for Crystallization Processes Using Two Independent Particle Properties," Chem. Eng. Sci., 56, 2553 (2001).
12. Hill, P. J., and K. M. Ng, "New Discretization Procedure for the Breakage Equation," AIChE J., 41, 1204 (1995).
13. Hill, P. J., and K. M. Ng, "Statistics of Multiple Particle Breakage," AIChE J., 42, 1600 (1996).
14. Hulburt, H. M., and S. Katz, "Some Problems in Particle Technology. A Statistical Mechanical Formulation," Chem. Eng. Sci., 19, 555 (1964).
15. Kendall, K., "The Impossibility of Comminuting Small Particles by Compression," Nature, 272, 710 (1978).
16. Kousaka, Y., K. Okuyama, and A. C. Payatakes, "Physical Meaning and Evaluation of Dynamic Shape Factor of Aggregate Particles," J. Colloid Interface Sci., 84, 91 (1981).
17. Lohmander, S., "Influence of a Shape Factor of Pigment Particles on the Rheological Properties of Coating Colors," Nordic Pulp & Paper Res. J., 15, 231 (2000a).
18. Lohmander, S., "Influence of Shape and Shape Factor of Pigment Particles on the Packing Ability in Coating Layers," Nordic Pulp & Paper Res. J., 15, 300 (2000b).
19. Mazzarotta, B., "Abrasion and Breakage Phenomena in Agitated Crystal Suspensions," Chem. Eng. Sci., 47, 3105 (1992).
20. Mazzarotta, B., S. Di Cave, and G. Bonifazi, "Influence of Time on Crystal Attrition in a Stirred Vessel," AIChE J., 42, 3554 (1996).
21. Mersmann, A., Oystallization Technology Handbook, 2nd Edition, Marcell Dekker, New York (2001).
22. Molina-Boisseau, S., N. Le Bolay, and M. N. Pons, "Fragmentation Mechanism of Poly(vinyl acetate) Particles during Size Reduction in a Vibrated Bead Mill," Powder Technol., 123, 282 (2002).
23. Mullin, J. W., Crystallization, 4th Edition, Butterworth-Heinemann, Boston (2001).
24. Nienow, A. W., and R. Conti, "Particle Abrasion at High Solids Concentration in Stirred Vessels," Chem. Eng. Sci., 33, 1077 (1978).
25. Puel, F., P. Marchal, and J. Klein, "Habit Transient Analysis in Industrial Crystallization Using Two Dimensional Crystal Sizing Technique, " Trans. Inst. Chem. Eng., 75(Part A), 193 (1997).
26. Ramkrishna, D., Population Balances: Theory and Applications to Particulate Systems in Engineering, Academic Press, New York (2000).
27. Ramkrishna, D., and A. W. Mahoney, "Population Balance Modeling. Promise for the Future," Chem. Eng. Sci., 57, 595 (2002).
28. Sathyagal, A. N., D. Ramkrishna, and G. Narsimhan, "Solution of Inverse Problems in Population Balances: II. Particle Break-up," Comp. Chem. Eng., 19, 437 (1995).
29. Scanlon, M. G., and J. Lamb, "Fracture Mechanisms and Particle Shape Formation during Size Reduction of a Model Food Material," J. Mater. Sci., 30, 2577 (1995).
30. Shamlou, P. A., A. G. Jones, and K. Djamarani, "Hydrodynamics of Secondary Nucleation in Suspension Crystallization," Chem. Eng. Sci., 45, 1405 (1990).
31. Shamlou, P. A., Z. Liu, and J. G. Yates, "Hydrodynamic Influences on Particle Breakage in Fluidized Beds," Chem. Eng. Sci., 45, 809 (1990).
32. Synowiec, P., A. G. Jones, and P. A. Shamlou, "Crystal Break-up in Dilute Turbulently Agitated Suspensions," Chem. Eng. Sci., 48, 3485 (1993).
33. Wintermantel, K., "Process and Product Engineering: Achievements, Present and Future Challenges," Trans. Inst. Chem. Eng., 77(Part A), 175 (1999).