Modelling of particle breakage

Modelling of particle breakage is a process used in grinding.

Grinding is an important unit operation used in many industries, such as ceramics, composites, foods, minerals, paints, inks and pharmaceuticals.^[1] Current technology, however, is inefficient and power-intensive.^[2] It is, therefore, important that grinding processes are properly designed and grinding devices are operated at optimum operating conditions.

There are two methods to model particle breakage: population balance model and discrete element method.

Population balance model

Population balance model (PBM) is often used to predict grinding performance, requiring the knowledge of selection and breakage function which are related to the energy distribution inside mills.^[3]

Discrete element method

Grinding performance is a complex process depending strongly on the interactions between particles. The knowledge of energy distribution inside mills is critical to the determination of parameters in PBM model. While such information is difficult to obtain from experiments, numerical modelling based on discrete element method (DEM)^[4] can readily determine the energy distribution based on the well established contact mechanics.

Reference

1. ^ Prasher CL. Crushing and Grinding Process Handbook. Chichester: Wiley 1987.
2. ^ Wills BA. Mineral Processing Technology. Oxford: Pergamon Press 1992.
3. ^ Austin LG. A Review-Introduction to the Mathematical Description of Grinding as a Rate Process. Powder Technology. 1971/1972;5:1-17.
4. ^ Cundall PA, Strack ODL. A discrete numerical model for granular assemblies. Geotechnique. 1979;29:47-65