Analysis of the ball mill theory

Abstract

The theory of the ball mill was basically developed by Davis in the first quarter of the present century after an experimental study of the ball mill. Much later corrections and additions were made to it. At that time the question arose of taking into account the factor of pushing by the underlying balls of those balls which had already separated from the wall of the drum and were making their relative motion in it, forming a chain of balls disintegrating at the top. Due to the error made, the researchers did not give a correct solution to this question. The error was eliminated and the true shape of the chain of balls was established somewhat later. However, this error is also found in the new foreign literature, so it is reasonable to return to this issue once again and to outline the kinematics and dynamics of the ball mill from the point of view of the theory of chains of balls (refined theory of the ball mill) and give a critical assessment of the latter.