A New Comminution Model to Replace PBM Comminution Methodology

For over thirty years the Population Balance Model, PBM, has been the mainstream modeling method for comminution unit operations and comminution circuits. For commercial comminution circuits the method is based on erroneous physics and dubious numerical mathematical methods leading to non unique solutions that have little extrapolative value and faulty control strategies. In short the PBM is wrong. Given is a detailed analysis showing a number of non trivial flaws in the linear PBM. Moreover, a simpler model is presented that leads to a solution of the comminution circuit predicting the size distribution output over a variety of conditions. Because the linear PBM is firmly entrenched, an award is offered, $10,000, to any researcher that can use the linear PBM and its present numerical methods to predict the typical straight line, self similar, output of wet mills over a variety of grinding times.