Use Of The Tanks-In-Series Transport Model With Segregated Flow Transient Models For Continuous Ball Milling ? 1. Introduction

The mechanistic or phenomenological approach to ball milling involving the, concepts of particulate selection and breakage functions with particle population balance models has been well established over the past decade (c.f., the review articles by Austin (1) Herbst and Mika, (2) and Snow (3)). Initial efforts to apply this approach concentrated on batch milling, but since most milling in industrial practice is continuous, much recent research has been directed to extending this approach to continuous milling. The primary difference between batch and continuous milling processes is the relative importance of material mixing and transport in the mill in the latter case. Much analytical (4-8) and some experimental (9-15) work on the effect of mill mixing and transport on milling has been recently reported. Much of the analytical work has naturally centered around extension of the well-developed concepts that have been applied to chemical reactors, (16-18) Fortunately, it has been found(1) that most milling processes are analogous to first-order chemical reactions so that the combined effects of material transport and reaction (breakage) can be handled by the relatively simple segregated flow concepts. (8)