Understanding the drawbacks of the currently popular approach to determining the breakage rate parameters for process analysis and mill scale-up design

References

• Austin, L. G., P. Bagga, and M. Celik. 1981. Breakage properties of some materials in a laboratory ball mill. Powder Technology 28:236–41.
   Web of Science ®Google Scholar
• Austin, L. G., R. R. Klimpel, and P. T. Luckie. 1984. The process engineering of size reduction: Ball milling. New York: AIME, SME.
   Google Scholar
• Deniz, V. 2003. A study on the specific rate of breakage of cement materials in a laboratory ball mill. Cement and Concrete Research 33 (3):439–45.
   Web of Science ®Google Scholar
• Everell, M. D. 1972. Empirical relations between grinding selection functions and physical properties of rocks. Transactions of the AIME 252:300–6.
   Google Scholar
• Fuerstenau, D. W., A. Abouzeid, and P. B. Phatak. 2010. Effect of particulate environment on the kinetics and energetics of dry ball milling. International Journal of Mineral Processing 97 (1–4):52–8.
   Google Scholar
• Gardner, R. P., and L. G. Austin. 1962. A chemical engineering treatment of batch grinding. In Proceedings, 1st European Symposium Zerkleinern, ed. H. Rumpf and D. Behrens, 217–31.Weinheim: Verlag Chemie.
   Google Scholar
• Gupta, V. K. 1975. Mathematical modelling and identification of a batch ball mill grinding system. Ph. D. Dissertation, Indian Institute of Technology, Kanpur.
   Google Scholar
• Gupta, V. K., and P. C. Kapur. 1976. A critical appraisal of the discrete size models of grinding kinetics. In Proceedings, fourth European Symposium Zerkleinern, Dechema Monographien 79, Nr. 1576-1599, ed. H. Rumf and K. Schonert, 447–65. Weinheim: Verlag Chemie.
   Google Scholar
• Gupta, V. K., H. Zouit, and D. Hodouin. 1985. The effect of ball and mill diameters on grinding rate parameters in dry grinding operation. Powder Technology 42 (2):199–208.
   Web of Science ®Google Scholar
• Gupta, V. K. 1986. An appraisal of the linear first-order kinetic model based ball mill design correlations. In World congress particle technology, part II: Comminution (6. European symposium on comminution), ed. K. Leschonski, 605–620. Nurnberg: NMA Nurnberger Messe- and Ausstellungsgesellschaft mbH Messezentrum.
   Google Scholar
• Gupta, V. K., and S. Sharma. 2014. Analysis of ball mill grinding operation using mill power specific kinetic parameters. Advanced Powder Technology 25 (2):625–34.
   Web of Science ®Google Scholar
• Gupta, V. K. 2016. Determination of the specific breakage rate parameters using the top-size fraction method: Preparation of the feed charge and design of experiments. Advanced Powder Technology 27 (4):1710–8.
   Web of Science ®Google Scholar
• Gupta, V. K. 2017. Effect of size distribution of the particulate material on the specific breakage rate of particles in dry ball milling. Powder Technology 305:714–22.
   Web of Science ®Google Scholar
• Holt, C. B. 1981. The shape of particles produced by comminution. Powder Technology 28 (1):59–63.
   Web of Science ®Google Scholar
• Kotake, N., K. Suzuki, S. Asahi, and Y. Kanda. 2002. Experimental study on the grinding rate constant of solid materials in a ball mill. Powder Technology 122 (2–3):101–8.
   Web of Science ®Google Scholar
• Le Houillier, R., and J. C. Marchand. 1977. Empirical correlation predicting particulate mass effect on selection parameters. Powder Technology 17:101–7.
   Web of Science ®Google Scholar
• Mika, T. S., L. M. Berlioz, and D. W. Fuerstenau. 1967. An approach to the kinetics of dry batch ball milling. In Proceedings, second European Symposium Zerkleinern, Dechema Monographien 57(1) Nr. 993-1026, ed. H. Rumf and W. Pietsch, 205–40. Weinheim, Verlag Chemie.
   Google Scholar
• Petrakis, E., E. Stamboliadis, and K. Komnitsas. 2017. Identification of optimal mill operating parameters during grinding of quartz with the use of population balance modelling. KONA Powder Particle Journal 34 (0):213–23.
   Google Scholar
• Reid, K. J. 1965. A solution to the batch grinding equation. Chemical Engineering Science 20 (11):953–63.
   Web of Science ®Google Scholar
• Sedlatschek, K., and L. Bass. 1953. Contribution to the theory of milling processes. Powder Metallurgy Bulletin 6:148–53.
   Google Scholar
• Smaila, F. M. 1982. An investigation of the kinetics of dry batch ball milling. M.S. Dissertation, The Pennsylvania State University, Pennsylvania, USA.
   Google Scholar
• Shoji, K., F. Smaila, L. G. Austin, K. Brame, and P. T. Luckie. 1982. Further studies of ball and powder filling effects in ball milling. Powder Technology 31 (1):121–6.
   Web of Science ®Google Scholar
• Venkataraman, K. S. M. 1981. Specific energy considerations in the kinetics of mixture grinding. S. Dissertation, University of California, Berkeley, California.
   Google Scholar
• Venkataraman, K. S., and D. W. Fuerstenau. 1984. Application of the population balance model to the grinding of mixture of minerals. Powder Technology 39 (1):133–42.
   Web of Science ®Google Scholar
• Verma, R., and R. K. Rajamani. 1995. Environment dependent breakage rates in ball milling. Powder Technology 94:127–37.
   Google Scholar