Dynamic impact milling model with a particle-scale breakage kernel

A particle-scale breakage model for impact milling has been proposed by Vogel and Peukert based on single particle impact experiments. Their model provides a good starting point for extension to dynamic systems, since it successfully separates the effects of material properties from the milling operating conditions. In the current study, a rigorous way to incorporate such a single particle breakage model into a dynamic population balance model is proposed by considering the particle breakages under different numbers of successive impacts, each with distinct impact rates, breakage probabilities, and breakage functions. The new model was developed within both Process System Enterprise's gSOLIDS and MathWorks' MATLAB software and has been verified with experimental data. Notably good matches between the predicted and experimental data were obtained.