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

Malyshev V. P., Doctor of Engineering Sciences, Professor, Head of Laboratory
Makasheva A. M., Doctor of Engineering Sciences, Professor, Chief Researcher
Zubrina Yu. S., Assistant

E-mail (common): eia_hmi@mail.ru

The purpose of the work is to provide theoretical justification for more efficient and less costly process of ore grinding. The probabilistic theory of material grinding in ball mills is used for this purpose. In accordance with this theory, grinding process is affected by four probabilistic factors: frequency, concentration, steric and activation. In this paper the authors reveal the antagonism of the two latter factors and their coeffect is estimated. The antagonism of steric and activation factors is considered for different combinations of balls and grains sizes, as well as with mill diameter variations. In this respect it has been established, that on the strength of steric and activation factors’ antagonism, most efficient grinding is achieved with balls and grains sizes ratio of 20 : 1, which was corroborated by the practical data. With that, maximum efficiency is equal to the value of 0.134 (13.4 %), this demonstrates the existence of the upper limit of energy efficiency of grinding, which has never been overcome in practice. As far as mill diameter is concerned, its increase leads to a certain increase in maximum of grinding efficiency. This is achieved through activation factor, but only up to a diameter of about 7 m, with further increase in diameter, increase in maximum of grinding efficiency slows down. The obtained results provide evidence of productivity of probabilistic theory of grinding and expediency of its further development.

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