Mathematical modeling of fluid energy milling based on a stochastic approach

Chemical Engineering Science

Volumn 65, Issue 15, 2010, Pages 4323-4331

  Teng, Shuli ^a   Wang, Peng ^a   Zhu, Linjie ^b   Young, Ming Wan ^b   Gogos, Costas G ^a,b  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b Polymer Processing Institute   (United States)

Author keywords

Breakage distribution function; Breakage rate function; Elementary breakage event; Fluid energy milling; Stochastic method

Indexed keywords

BREAKAGE DISTRIBUTION FUNCTION; BREAKAGE FUNCTION; CORRECTION FACTORS; ELEMENTARY STEPS; FLUID ENERGY; GRINDING PERFORMANCE; GRINDING PROCESS; MATHEMATICAL MODELING; MATRIX OF TRANSITION PROBABILITIES; RATE FUNCTIONS; SINGLE-EVENTS; STOCHASTIC APPROACH; STOCHASTIC METHODS;

COMPUTER SIMULATION; DISTRIBUTION FUNCTIONS; GRINDING (MACHINING); MILLING (MACHINING); SIZE DETERMINATION; SIZE DISTRIBUTION; STOCHASTIC SYSTEMS;

FLUIDS;

EID: 77953136306     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2010.03.017     Document Type: Article

References (30)

1. Andrews, N.H., 1936. Method of and apparatus for providing material in finely divided form. US Patent 2,032,827.
2. Austin L.G. A review: introduction to the mathematical description of grinding as a rate process. Powder Technology 5 (1971) 1-17
3. Austin L.G. A discussion of equations for the analysis of batch grinding data. Powder Technology 106 (1999) 71-77
4. Austin L.G., and Bagga P. An analysis of fine dry grinding in ball mills. Powder Technology 28 (1981) 83-90
5. Austin L.G., and Luckie P.T. Methods for determination of breakage distribution parameters. Powder Technology 5 (1972) 215-222
6. Austin L.G., Trimarchi T., and Weymont N.P. An analysis of some cases of non-first-order breakage rates. Powder Technology 17 (1977) 109-113
7. Berthiaux H. Analysis of grinding process by Markov chains. Chemical Engineering Science 55 19 (2000) 4117-4127
8. Berthiaux H., Heitzmann D., and Dodds J.A. Validation of a model of a stirred bead mill by comparing results obtained in batch and continuous mode grinding. International Journal of Mineral Processing 44-45 (1996) 653-661
9. Berthiaux H., Mizonoy V., and Zhukov V. Application of the theory of Markov chains to model different processes in particle technology. Powder Technology 157 (2005) 128-137
10. Berthiaux H., Varinot C., and Dodds J. Approximate calculation of breakage parameters from batch grinding tests. Chemical Engineering Science 51 19 (1996) 4509-4516
11. Bilgili E., Hamey R., and Scarlett B. Nano-milling of pigment agglomerates using a wet stirred media mill: elucidation of the kinetics and breakage mechanisms. Chemical Engineering Science 61 (2006) 149-157
12. Bilgili E., Yepes J., and Scarlett B. Formulation of a non-linear framework for population balance modeling of batch grinding: beyond first-order kinetics. Chemical Engineering Science 61 (2006) 33-44
13. Chen, W., Gogos, C., Teng, S., Zhu, L., Young, M.W., Fishbein, L., Schepige, W., Bonnett, P., 2007. Numerical modeling of the grinding velocity and pressure fields of nitramine-based particulates flowing in a fluid energy mill (FEM). In: 38th International Annual Conference of ICT, p. 68.
14. Dobson B., and Rothwell E. Particle size reduction in a fluid energy mill. Powder Technology 3 4 (1970) 213-217
15. Gommeren H.J.C., Heitzmann D.A., Moolenaar J.A.C., and Scarlett B. Modeling and control of a jet mill plant. Powder Technology 18 (2000) 147-154
16. Hendry R. A mathematical model for fluid energy mills. Dechema Monograph 57 (1967) 695-727
17. Kapur P.C. An improved method for estimating the feed-size breakage distribution functions. Powder Technology 33 (1982) 269-275
18. Kapur P.C., and Agarwal P.K. Approximate solutions to the discretized batch grinding equation. Chemical Engineering Science 25 (1970) 1111-1113
19. Midoux N., Hosek P., Pailleres L., and Authelin J.R. Micronization of pharmaceutical substances in a spiral jet mill. Powder Technology 104 (1999) 113-120
20. Mohanty B., and Narasimhan K.S. Fluid energy grinding. Powder Technology 33 1 (1982) 135-141
21. Muller F., Polke R., and Schafer M. Model-based evaluation of grinding experiments. Powder Technology 105 (1999) 243-249
22. Powell M.S., and Morrison R.D. The future of comminution modeling. International Journal of Mineral Processing 84 (2007) 228-239
23. Prasher C.L. Crushing and Grinding Process Handbook (1987), John Wiley & Sons Limited, New York
24. Purker P., Agrawal R., and Kapur P.C. A G-H scheme for back-calculation of breakage rate functions from batch grinding data. Powder Technology 45 (1986) 281-286
25. Rajendran Nair P.B. Breakage parameters and the operating variables of a circular fluid energy mill part I. Breakage distribution parameter. Powder Technology 106 (1999) 45-53
26. Rajendran Nair P.B. Breakage parameters and the operating variables of a circular fluid energy mill part II. Breakage rate parameter. Powder Technology 106 (1999) 54-61
27. Rajendran Nair P.B., and Ramanujam M. classification function in fluid energy grinding. Powder Technology 68 (1991) 79-84
28. Ramanujam M., and Venkateswarlu D. Studies in fluid energy grinding. Powder Technology 3 2 (1969) 92-101
29. Teng S., Wang P., Zhu L., Young M.W., and Gogos C.G. Experimental and numerical analysis of a lab-scale fluid energy mill. Powder Technology 159 (2009) 31-39
30. Vogel L., and Peukert W. Modeling of grinding in an air classifier mill based on a fundamental material function. KONA 21 (2003) 109-120