A study of the nonlinear breakage equation: Analytical and asymptotic solutions

Journal of Physics A: Mathematical and General

Volumn 33, Issue 6, 2000, Pages 1221-1232

  Kostoglou, M ^a   Karabelas, A J ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034681243     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/6/309     Document Type: Article

References (21)

1. Levenspiel O, Kunii D and Fitzgerald T 1960 The processing of solids of changing size in bubbling fluidized beds Powder Technol. 2 87-96
2. Shrivastava R C 1978 Parametrization of raindrop size distribution J. Atmos. Sci. 35 108-17
3. Piotrowsky S 1953 The collisions of asteroids Acta Astron. A 5 115-24
4. Kelley E G and Spottiswood D J 1982 Introduction to Mineral Processing (New York: Wiley)
5. Shrivastava R C 1982 A simple model of particle coalescence and breakup J. Atmos. Sci. 39 1317-22
6. Redner S 1990 Fragmentation Statistical Models for the Fracture of Disordered Media ed H J Hermann and S Roux (Amsterdam: Elsevier) ch 10
7. Hill P J and Ng K M 1996 Statistics of multiple particle breakage AIChE J. 42 1600-11
8. Ziff R M and McGrady E D 1986 Kinetics of polymer degradation Macromolecules 19 2513-19
9. Ziff R M 1991 New solutions to the fragmentation equation J. Phys. A: Math. Gen. 24 2821-8
10. Peterson T W 1986 Similarity solutions for the populations balance equation describing particle fragmentation Aerosol Sci. Technol. 5 93-101
11. Hill P J and Ng K M 1995 New discretization procedure for the breakage equation AIChE J. 42 1600-11
12. Cheng Z and Redner S 1988 Scaling theory of fragmentation Phys. Rev. Lett. 60 2450-3
13. Drake R L 1972 A general mathematical survey of the coagulation equation Topics in Current Aerosol Research vol 3 (Oxford: Pergamon)
14. Scott W T 1968 Analytic studies of cloud droplet coalescence I J. Atmos. Sci. 25 54-65
15. McGrady E D and Ziff R M 1987 Shattering transition in fragmentation Phys. Rev. Lett. 58 892-5
16. Kusters K A, Pratsinis S E, Thoma S G and Smith D M 1993 Ultrasonic fragmentation of agglomerate powders Chem. Eng. Sci. 48 4119-27
17. Meesters A and Ernst M H 1987 Numerical evaluation of self-preserving spectra in Smoluchowski's coagulation theory J. Colloid Interface Sci. 119 576-87
18. Vigil D R and Ziff R M 1989 On the stability of coagulation-fragmentation population balances J. Colloid Interface Sci. 133 257-64
19. Ernst M H, Ziff R M and Hendriks E M 1984 Coagulation processes with a phase transition J. Colloid Interface Sci. 97 266-77
20. Krapivsky P L 1992 Kinetics of a random sequential parking on a line J. Stat. Phys. 69 135-50
21. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes 2nd edn (New York: Cambridge University Press)