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2012 | 33 | 1 | 117-129

Article title

Analysis of the breakage rate function for selected process parameters in quartzite milling



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The paper presents the results of studies on quartzite milling in a ball mill. The milling was conducted in a batch system, for diversified compositions of balls. The milling product was subjected to granulometrical, morphological and strength analyses. On the basis of the developed Reid's theory and using the Austin-Gardner equation, a form of the function circumscribing the specific rate of comminution of selected size fractions was determined. The values of the breakage rate function bi, j for the mill's apparatus conditions were determined. The impact was investigated for a variable number of grinding media contact points on the values of specific rate S and the values of the breakage rate function bi, j. Furthermore, the values of coefficients occurring in the equations circumscribing the specific rate of milling S and breakage parameter bi, j were determined.









Physical description


1 - 3 - 2012
6 - 3 - 2012


  • Faculty of Process and Environmental Engineering, Technical University of Lodz, ul. Wólczańska 213, 90-924 Łódź, Poland


  • Austin L. G., Bhatia V. K., 1973. Note on conversion of discrete size interval values of breakage parameters S and B to point values and vice versa. Powder Technol., 7, 107-110. DOI: 10.1016/0032-5910(73)80013-0.[Crossref]
  • Austin L. G., 1999. A discussion of Equations for the analysis of batch grinding data. Powder Technol., 106, 71-77. DOI: 10.1016/S0032-5910(99)00047-9.[Crossref]
  • Austin L. G., 2004. The effect of damage on breakage kinetics. Powder Technol., 143-144, 151-159. DOI:10.1016/j.powtec.2004.04.048.[Crossref]
  • Bond F. C., 1952. The third theory of comminution. Min. Eng. Trans. AIME, 193, 484-494.
  • Brach I., 1962. The theories of grinding minerals, Przegląd Mechaniczny, 14, 421-426, (In Polish).
  • Erasmus L. D., Eyre D., Everson R. C., 1994. Numerical treatment of the population balance equation using a spline-galerkin method. Comput. Chem. Eng., 18, 775-783. DOI:10.1016/0098-1354(94)E0007-A.[Crossref]
  • Hukki, R. T., 1961. Proposal for a solomonic settlement between the theories of von Rittinger, Kick and Bond. Trans. AIME, 220, 403-408.
  • Kapur P. C., 1971. The energy-size reduction relationships in comminution of solids. Chem. Eng. Sci., 26, 11-16. DOI:10.1016/0009-2509(71)86076-1.[Crossref]
  • Kapur P. C., 1972. Self-preserving size spectra of comminuted particles. Chem. Eng. Sci. 27, 425-431.; 10.1016/0009-2509(72)85079-6.
  • Kick F., 1885. The law of proportional resistance and its application. Arthur Felix Verlag, Leipzig (in German).
  • Lynch A. J., 1977. Mineral crushing and grinding circuits. Developments in mineral processing. Elsevier, 1, 22, 33.
  • Mort P. R., 2003. A multi-scale approach to modeling and simulation of particle formation and handling processes. Proc. 4th International Conference for conveying and handling of particulate solids 2, Budapest, Hungary 23-27 August 2003, 12.98-12.104.
  • Olejnik T. P., 2011. Grinding kinetics of granite considering morphology and physical properties of grains, Physicochem. Probl. Miner. Process., 48, 149-158.
  • Reid K. J., 1965. A solution to the batch grinding equation. Chem. Eng. Sci., 20, 953-963. DOI:10.1016/0009-2509(65)80093-8.[Crossref]
  • Rittinger P. R., 1867. Treatment of the customer handbook, Bergmaschinentechnik Deutscher Verlag, Berlin (in German).
  • Schubert H., 1968. Treatment of solid mineral fuels. Vol. 1. VEB Verlag, Leipzig, 39-41 (in German).
  • Sokołowski E. M., 1992. Generalized hypothesis of grinding and method for determining material properties, Proc. 9th Symposium on the Theory and Practice of the Processing Processes. Gliwice. 131-143, (in Polish).
  • Stamboliadis E. Th., 2002. A contribution to the relationship of energy and particle size in the comminution of brittle particulate materials. Minerals Eng., 15, 707-713. DOI: 10.1016/S0892-6875(02)00185-1.[Crossref]
  • Tavares L. M., King R. P., 1998. Single-particle fracture under impact loading. Int. J. Miner. Process., 54, 1-28. DOI:10.1016/S0301-7516(98)00005-2.[Crossref]
  • Walker D. R., Shaw M. C., 1954. A physical explanation of the empirical laws of comminution, AIME Trans. 199, 313-320.
  • Zingg T., Contribution to the gravel analysis. Schweiz. Mineral. Petrogr. Mitt., 1935, 15, 39-140 (in German).

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