A study of the collisional fragmentation problem using the Gamma distribution approximation

Journal of Colloid and Interface Science

Volumn 303, Issue 2, 2006, Pages 419-429

  Kostoglou, M ^a   Karabelas, A J ^b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b Centre for Research Technology Hellas   (Greece)

Author keywords

Breakage; Collisional fragmentation; Moments method; Nonlinear fragmentation; Population balance; Self similar solution

Indexed keywords

COLLISIONAL FRAGMENTATION; GAMMA DISTRIBUTION APPROXIMATION; NONLINEAR FRAGMENTATION; POPULATION BALANCE; SELF SIMILAR SOLUTION;

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; HIGH ENERGY PHYSICS; INTEGRAL EQUATIONS; METHOD OF MOMENTS;

CRYSTAL LATTICES;

ARTICLE; COLLOID; FRAGMENTATION REACTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONLINEAR SYSTEM; PARTICLE SIZE; PRIORITY JOURNAL;

CHEMISTRY, PHYSICAL; MATHEMATICS; MODELS, THEORETICAL; PARTICLE SIZE; SOLUTIONS;

EID: 33749617395     PISSN: 00219797     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcis.2006.08.005     Document Type: Article

References (39)

1. Randolph A.D., and Larson M.A. Theory of Particulate Processes. Analysis and Techniques of Continuous Crystallization (1971), Academic Press, New York
2. Kelley E.G., and Spottiswood D.J. Introduction to Mineral Processing (1982), Wiley, New York
3. Kiparissides C. Chem. Eng. Sci. 51 (1996) 1637
4. Nielsen J., and Villadsen J. Bioreaction Engineering Principles (1994), Plenum, New York
5. Redner S. Fragmentation. In: Hermann H.J., and Roux S. (Eds). Statistical Models for the Fracture of Disordered Media (1990), Elsevier, New York chap. 10
6. Bilgili E., and Scarlett B. Chem. Eng. Technol. 28 (2005) 153
7. Laurencot P., and Wrzosek D. J. Statist. Phys. 104 (2001) 193
8. Shrivastava R.C. J. Atm. Sci. 39 (1982) 1317
9. Piotrowsky S. Acta Astron. A 5 (1953) 115
10. Bandyopadhyaya R., Kumar R., and Gandhi K.S. Langmuir 16 (2000) 7139
11. Ferrante F., and Liveri V.T. Colloids Surf. A Physicochem. Eng. Aspects 24 (2005) 7
12. Matsuda S., Hatano H., Muramoto T., and Tsutsumi A. AIChE J. 50 (2004) 2763
13. Karabelas A.J. AIChE J. 22 (1976) 765
14. Ko G.H., and Ryou H.S. Int. J. Multiphase Flow 31 (2005) 723
15. Curl R.L. AIChE J. 9 (1963) 175
16. Kostoglou M., and Karabelas A.J. J. Phys. A Math. Gen. 33 (2000) 1221
17. Madras G., and McCoy B.J. AIChE J. 44 (1998) 647
18. Tambour Y., and Seinfeld J.H. J. Colloid Interface Sci. 74 (1980) 260
19. Friedlander S.K. Smoke, Dust and Haze (2000), Oxford Univ. Press, New York
20. Abrahamson J. Chem. Eng. Sci. 30 (1975) 1371
21. Scott W.T. J. Atm. Sci. 25 (1968) 54
22. Meesters A., and Ernst M.H. J. Colloid Interface Sci. 119 (1987) 576
23. McGrady E.D., and Ziff R.M. Phys. Rev. Lett. 58 (1987) 892
24. Diemer R.B., and Olson J.H. Chem. Eng. Sci. 57 (2002) 4187
25. H Ernst M., and Szamel G. J. Phys. A Math. Gen. 26 (1993) 6085
26. Ziff R.M. J. Phys. A Math. Gen. 24 (1991) 2821
27. Cheng Z., and Redner S. Phys. Rev. Lett. 60 (1988) 2450
28. Kostoglou M., and Karabelas A.J. Powder Technol. 143-144 (2004) 280
29. Frenklach M. Chem. Eng. Sci. 57 (2002) 2229
30. Barret J.C., and Jheeta J.S. J. Aerosol. Sci. 27 (1996) 1135
31. Marchisio D.L., Vigil R.D., and Fox R.O. J. Colloid Interface Sci. 258 (2003) 322
32. Williams M.M.R. J. Colloid Interface Sci. 93 (1983) 252
33. Peterson T.W. Aerosol Sci. Technol. 5 (1986) 93
34. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes (1992), Cambridge Univ. Press, New York
35. Zhang S., and Jin J. Computation of Special Functions (1996), Wiley, New York
36. Krapivsky P.L., and Ben-Naim E. Phys. Rev. E 68 (2003)
37. Lindblad U. J. Colloid Interface Sci. 283 (2005) 267
38. Kostoglou M., and Karabelas A.J. Powder Technol. 127 (2002) 116
39. Mantzaris N.V. J. Phys. A Math. Gen. 38 (2005) 5111