Determination of the specific breakage rate parameters using the top-size-fraction method: Preparation of the feed charge and design of experiments

Abstract

The top-size-fraction method of determining the specific breakage rate of particles from the slope of a log-linear ‘first-order disappearance kinetics’ plot has been widely used. Generally, the feed charge is prepared from the material crushed in a jaw and/or roll crusher, and four to five batch grinding experiments are carried out sequentially to obtain about 95–99% reduction of the top-size-fraction. An analysis of a large volume of high quality batch grinding data available in the literature has shown that this approach suffers from several drawbacks. For this reason, the values of the specific breakage rate parameter, k1, reported by the researchers are found to be not sufficiently accurate for mill scale-up and design work. The present paper discusses the rationale behind a new approach proposed. It involves carrying out only one short duration batch grinding experiment using a feed charge that has been pre-ground for sufficient time under the same mill operating conditions for which the value of k1 is to be determined. The results of experiments carried out using two types of cement clinker and quartz are presented for several different combinations of the mill operating parameters. These results clearly demonstrate the merits of the proposed approach.