On some problems of dynamics related to the mining and mineral processing industry
Abstract
We shall confine ourselves to considering a ball mill consisting of a cylindrical drum with a horizontal axis of rotation and loaded with a mixture of balls and ore. The motion of a ball in a ball mill can be divided into three periods. During the first period, the ball has no relative motion with respect to the rotating drum and moves as if rigidly connected to the latter. In the second period, the ball separates from the drum wall but still rests on the ball below it, moving along the latter. Finally, the third period begins at the moment when the moving ball leaves the lower ball. Studying the motion of the ball during the first and third periods presents no difficulties. Therefore, the subject of further investigation is only the second period. The motion of the ball under consideration takes place in a vertical plane perpendicular to the axis of rotation of the drum.
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References
- L.B. Levenson. The Spiral Separator, 1925, p. 49-50, 53. (in Russian)
- Goursat, Cours d'Analyse mathematique, vol. II, p. 364, No. 383.
- I.V. Meshchersky. Dynamics of a Point of Variable Mass. (in Russian)