Abstract

The predominant application of ball drum mills in industrial enterprises for the comminution process of various materials, which is one of the most energy-intensive basic technological processes, is demonstrated in this scientific article. As one of the parameters that can enhance the efficiency of the comminution process, the rational quantitative ratio of grinding bodies to the material being ground is noted. To calculate the material loading coefficient in the grinding chamber, the feasibility of developing a mathematical description is shown. This allows to determine the change in the area of gaps between grinding bodies in a cross-sectional plane perpendicular to the longitudinal axis of the mill's body, as the rotational frequency changes. A mathematical description is obtained to determine the area of the ball-material load in the cross-sectional plane of the grinding chamber during the static state of the mill's body and at different rotational frequencies. Using this mathematical description, research on the change in the area occupied by the ball-material load in the transverse section of the grinding chamber during the transition of the mill's body from the static state to the operating state is conducted. Regularities of its changes for an industrial-sized mill are determined. At different values of the filling coefficient of grinding bodies, it is established that the transition of the mill's body from static to operating state leads to an increase in the area of the transverse section of the ball-material load by an amount close to 17 %. An expression is proposed to determine the material loading coefficient in the grinding chamber corresponding to its operating rotational frequency.

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