Problems Inherent in Using the Population Balance Model for Wet Grinding in Ball Mills
A stuffing matrix S is the PBM solution to any Inverse Problem for wet grinding with straight line product curves observed for some types of wet ball mills. This PBM solution assumes all particles are broken out of their own size class. In other words, if one starts the mill, no matter when it is stopped, every particle in every class is a new particle. This corresponds to no known physical situation. Dry grinding feed matrices can all be inverted, because the product size distributions all curve to the right in the larger sizes showing that not all the larger particles are broken in a finite length of time. For parallel straight line feed and product size distributions, the use of a simple function for the product distribution is proposed but not described.
KeywordsInverse Problem Straight Line Plot Population Balance Model Specific Power Input Breakage Function
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