Chemical and Metallurgical Institute named after Zh. Abishev (Republic of Kazakhstan):

Malyshev V. P., Head of Laboratory, Doctor of Engineering Sciences, Professor, eia_hmi@mail.ru

Turdukozhayeva A. M., Chief Researcher, Doctor of Engineering Sciences, Professor, eia_hmi@mail.ru

National Scientific-Technological Holding «Parasat», Academician of National Academy of Sciences of the Republic of Kazakhstan:

Bekturganov N. S., Scientific Consultant, Doctor of Engineering Sciences, n.bekturganov@parasat.com.kz

E. A. Buketov Karaganda State University (Repubic of Kazakhstan):

Kaykenov D. A., Researcher

The probabilistic model of grinding, developed by the authors, analyses the effect of balls' sizes and their mixture upon ore grinding. With that, an explanation is given to certain features, earlier known only through the practical data. If small balls are used, product size-fractional makeup is characterized by appearance of two analytical maximums in coarse and small fractions areas, providing a theoretical basis for separation of these fractions in mill's operation in locked cycle with classifier. If balls' mixture is used, grinding process rate becomes higher, if compared with monofractional balls of the same total mass, indicating a synergistic effect in their mutual impact upon the process. Position of logarithmic-normal maximum, in contrast to separate application of different size balls, is shifted in time towards small fractions' area, and is accompanied by passage through greatest absolute magnitude of maximum, which is higher, than any current magnitude of maximum with separate application of the same sizes of balls. This maximum is formed earlier, if compared with separate application of balls of different sizes, not at the very end of the studied interval (3600 s), which is also a highly favorable factor. Absolute magnitude of maximum fractions yield is higher for balls' mixture, when compared with separate application of balls of different sizes, with shift towards finer fractions' area, providing a basis for a preferred application of different size balls' mixtures. It is noted, that in the considered modeled conditions with respect to a sufficiently coarse quarts ore mono fraction (0.01 m) grinding, all processes of fine product fractions yield become time-shifted towards greater process duration. If finer fraction is subjected to grinding, especially, if it simultaneously contains middle and fine size fractions, time intervals should essentially decrease.

1. Malyshev V. P., Turdukozhayeva A. M., Kaykenov D. A. Obogashchenie Rud, 2012, No. 4, pp. 29–35.
2. Malyshev V. P., Turdukozhayeva A. M., Kaykenov D. A. Obogashchenie Rud, 2013, No. 1, pp. 27–30.
3. Malyshev V. P., Turdukozhayeva A. M., Kaykenov D. A. Obogashchenie Rud, 2012, No. 6, pp. 29–33.