A novel approach for grinding operation scale-up

Chemical Engineering Science

Volumn 55, Issue 8, 2000, Pages 1347-1356

  Micco, Giovanni ^a   Netti, Paolo A ^a   Nicolais, Luigi ^a   Collina, Amilcare ^b   Astarita, Gianni ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b Mapei SpA   (Italy)

Author keywords

Additives; Batch mill; Continuous mill; Critical volume; Grinding; Population balance; Scale up

Indexed keywords

ADDITIVES; GRINDING MILLS; PROCESS ENGINEERING;

BATCH MILLS; CONTINUOUS MILLS; CRITICAL VOLUME;

GRINDING (COMMINUTION);

GRINDING;

EID: 0034056556     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(99)00418-2     Document Type: Article

References (46)

1. Arbiter N., Harris C.C. Particle size distributions-time relationships in comminution. British Chemical Engineering. 10:1965;240-247.
2. Aris R., Gavalas G. On the theory of reactions in continuous mixtures. AICHE Journal. 260:1966;351-393.
3. Astarita G., Nigam A. Lumping nonlinear kinetics in a CSTR. American Institute of Chemical Engineers Journal. 35:1989;1927-1932.
4. Astarita G., Ocone R. Lumping nonlinear kinetics. American Institute of Chemical Engineers Journal. 34:1989;1299-1309.
5. Austin L.G., Klimpel R.R. The theory of grinding. Industrial & Engineering Chemistry. 56(11):1964;18-29.
6. Bass L. Zur Theorie der Mahlvorgange. Zeitschrift fuer Angewandte Mathematik und Physik. 5:1954;283-292.
7. Bond F.C. The third theory of comminution. ASME Transactions. 193:1952;484-494.
8. Broadbent S.R., Calcott T.G. Coal breakage processes. Journal of Institute of Fuel. 29:1956;524-539.
9. Calcott T.G. Solution of comminution circuits. Institution of Mining and Metallurgy Section C. 76:1967;1-10.
10. Cicarelli P., Astarita G., Gallifuoco A. Continuous kinetic lumping of catalytic cracking processes. American Institute of Chemical Engineers Journal. 38:1992;1038-1044.
11. Epstein B. The mathematical description of certain breakage mechanisms leading to the logarithmico-normal distribution. Journal of Franklin Institute. 244:1947;471-477.
12. Epstein B. Logarithmico-normal distribution in breakage of solids. Industrial and Engineering Chemistry. 40:1948;2289-2291.
13. Gates A.G. Kick vs. Rittinger. An experimental investigation in rock crushing, performed at Purdue University Transactions AIME. 52:1915;875-909.
14. Gaudin A.M. An investigation of crushing phenomena. Transactions AIME. 73:1926;253-316.
15. Gilvarry J.J. Fracture of brittle solids. I, distribution function for fragment size in single fracture (Theoretical) Journal of Applied Physics. 32:1961;391-399.
16. Gilvarry J.J. Fragment size in single fracture - A review of theory and experiment. Wear. 7:1964;227-243.
17. Gilvarry J.J. Theory of the distribution of fragment size in comminution. Transactions AIME. 229:1964;250-255.
18. Harris C.C. The application of size distribution equations to multi-event comminution processes. Transactions ASME. 241:1968;343-357.
19. Harris C.C. On the role of energy in comminution. a review of physical and mathematical principles Transactions I.M.M. 75:1966;C37-C56.
20. Herbst J.A., Fuerstenau D.W. The zero-order production of fine sizes in comminution and its implications in simulation. AIME Transactions. 241:1968;538-548.
21. Holmes J.A. A contribution to the study of comminution. A modified form of Kick's law. Transactions of the Institution of Chemical Engineers. 15:1957;125-141.
22. Hulburt H., Katz S. Some problems in particle technology. Chemical Engineering Science. 19:1964;555-562.
23. Kanwal R.P. Linear integral equations. 1971;Academic Press, New York.
24. Lippek, E., & Espig, D. (1978). Forshungsarbeiten zur Mathematische Modellierung von Trockenmahlangen, Freib. Forschungs. Vol. 602 (pp. 77-87).
25. Lowrison G.C. Crushing and grinding. 1974;Butterworths, London.
26. Lynch A.J., Whiten W.J., Draper N. Developing the optimum performance of a multi-stage grinding circuit. Institution of Mining Metallurgy, Section C. 76:1967;169-179.
27. Meloy T.P., Bergstrom B.H. Matrix simulation of ball mill circuits. Arbiter N. Proceedings of the seventh international mineral proceedings congress. 1964;33-38 Gordon & Breach, New York.
28. Meloy T.P., Gaudin A.M. Model and a comminution distribution equation for repeated fracture. AIME Transactions. 223:1962;43-50.
29. Perry's Chemical Engineer Handbook (6th ed.) (1984). New York: McGraw Hill.
30. Petrovski, I. G. (1971). Lectures on the theory of integral equations, (1971); Translation by G. Yankovski revised from the Russian 1965 Edition, Moscow: Mir.
31. Ramabhadran T.E., Peterson T.W., Seinfeld J.H. Dynamics of aerosol coagulation and condensation. American Institute of Chemical Engineers Journal. 22:1976;840-847.
32. Ramabhadran T.E., Seinfeld J.H. Self-preserving theory of particulate systems. Chemical Engineering Science. 30:1975;1019-1028.
33. Ramkrishna D. Solution of population balance equations. Chemical Engineering Science. 26:1971;1134-1153.
34. Ramkrishna D. The status of population balances. Reviews of Chemical Engineering. 3:1985;49-97.
35. Rammler E., Naundorf W. Mathematische Darstellung der Zusammenhange zwischen Mahlfeinheit. Durchsatz und Umfangsgeschwindigkeit dei Hammermuhlen, Freib. Forschungs. 461:1969;7-20.
36. Redner, S. (1990). Fragmentation, In H. J. Herrmann, & S. Roux Statistical models for the fracture of disordered media, (pp. 321-348). Amsterdam: Elsevier.
37. Reid K.J. A solution to the batch grinding equation. Chemical Engineering Science. 20:1965;953-963.
38. Schuhmann R. Energy input and size distribution in comminution. Transactions ASME. 217:1960;22-25.
39. Sedlatchek K., Bass L. Contribution to the theory of milling processes. Powder Met. Bulletin. 6:1953;148-153.
40. Somasundaran, Lin Industrial and Engineering Chemistry Process Design and Development. 11:1972;321.
41. Timmel G., Husemann K., Espig D. Simulation der Zerkleinerung in Feinprallmuhlen. Aufber. Technik. 37:1996;249-258.
42. Volterra, V. (1918). Lecons sur les equations intgrales et les equations int,gro-diff,rentielles. Paris: Gauthier-Villars.
43. Westwood A.R.C. Tewksbury Lecture. control and application of environment-sensitive fracture processes Journal Materials Science. 9:1974;1871-1895.
44. Yang D., Mempel G., Fuerstenau D.W. A laboratory mill for batch grinding experimentation. ASME Transactions. 240:1967;273-275.
45. Ziff R.M., McGrady E.D. Journal of Physics A. 18:1985;3027.
46. Zwietering Th.N. The degree of mixing in continuous flow systems. Chemical Engineering Science. 11:1959;1-15.