Characterization of the Centrifugal Mill by Lumped Kinetic Math Model and Discrete Element Model

"Movement of mill charge in the centrifugal mill is essentially different from that in the vibration mill with circular path despite the apparently similar mode in the motion of mill body. As proved e.g. in [11], this results in substantial advantage regarding the comminution intensity of the centrifugal mill over the conventional vibration mill accounting approximately to one order of magnitude.Back in 1983, Bradley et al. presented a model of the centrifugal mill based on the kinetics of the mill charge by regarding it as a lumped mass. On the other hand, numerical modeling by ‘discrete element method (DEM)’ enabled us to observe the movement of each ball in the centrifugal mill with an extremely minute time intervals (Inoue et al., XX IMPC in 1997). The former approach rendered simple, even though approximate, expression of the mill behavior, while the latter method was advantageous in describing the behavior of the mill in terms of individual events taking place in the mill body, even though the result did not reduce to a simple expression. The characteristics of the centrifugal mill described by both these approaches proved to be in a degree of agreement. Thus, the kinetic approach was capable of presenting the overall view of the mill, while the DEM model was informative of the details that could not be depicted well enough by the simple math expressions."