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

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

Turdukozhaeva A. M., Chief Researcher, Doctor of Engineering, eia_hmi@mail.ru

Karaganda State University named after E. A. Buketov (Republic of Kazakhstan):

Kaikenov D. A., Researcher

The probabilistic model of grinding, developed by the authors, permits to consider wet grinding process in a drum ball mill in tumbling regime, and, on this basis, to recommend a more general expression for process rate constant. Consideration of diluting action of water with respect to volume fraction of balls and ore grains mixed with water may be expressed through additional consideration of water mass and density. With that, integral model of grinding remains unchanged. All calculations of water content diluting action in mixture with grinding balls and ore grains are given by way of example of commercial ball mill operation. Besides it is defined, that a common specialty with respect to dry and wet grinding is position of rate constant maximum. With increase in balls and ore grains mixture plasticity and their «grinding-in» during lift to circular cycle top point, in free fall of this mixture on impact area, effect of «smoothing influence of water» will not be produced, as falling velocities of all mixture components are practically equal, and in this case closeness of contacts between balls and grains will be dom inating, being entirely dependent on water disagglutinating action — «diluter» in this peculiar suspension. In connection with new calculations, it becomes important to consider wet grinding with use of mixture of balls of different sizes, and also with stage grinding in locked circuit with classifiers.

1. Malyshev V. P. Obogashchenie Rud, 1995, No. 4–5, pp. 4–14.
2. Malyshev V. P., Turdukozhayeva A. M., Kaykenov D. A. Obogashchenie Rud, 2012, No. 4, pp. 29–35.
3. Malyshev V. P., Turdukozhayeva A. M., Kaykenov D. A. Obogashchenie Rud, 2012, No. 6, pp. 29–33.
4. Emmanuel N. M., Knorre D. G. Kurs khimicheskoy kinetiki. Uchebnik dlya khimicheskikh fakultetov universitetov (Chemical Kinetics Treatise. Textbook for University Departments of Chemistry), 3^d ed., rev. and enl., Moscow, Vysshaya shkola, 1974, 400 p.
5. Abramov A. A. Pererabotka, obogashcheniye i kompleksnoye ispolzovaniye tvedykh poleznykh iskopayemykh. Uchebnik dlya vuzov (Hard commercial minerals processing, benefication and integrated use. College textbook). In 3 vol. Vol. 2. Tekhnologiya obogashcheniya poleznykh iskopayemykh (Technology of mineral processing), Moscow, Izd. MGGU (MSMU), 2004, 510 p.