Modelling of interparticle breakage

A Review of the Modeling of High Pressure Grinding Rolls

“…Various arrangements of particles in the bed lead to distinctive stressing patterns under the force loading, which accordingly result in different product size distributions. This led Liu and Schönert (1996) to pursue the application of the well-developed population balance models for predicting the product size distribution in a confined particle bed as a function of energy input. They introduced an energy split function in order to determine the energy absorption for each size fraction via an iterative algorithm:…”

“…Assuming that breakage and selection functions are characteristic features of material, these two parameters were quantified via controlled tests with mono-sized particles in a piston-die apparatus. Liu and Schönert (1996) tests were focused on brittle material such as quartz. They showed that the influence of the energy input increases as the distribution of particle sizes widens.…”

“…They showed that the influence of the energy input increases as the distribution of particle sizes widens. However, due to the complex iterative nature of the method, Liu and Schönert (1996) did not recommend it for a wide feed size distribution since the errors between the measured and the fitted values would inherently increase. Klymowsky and Liu (1997) further developed Liu and Schönert's model to simulate the entire spectrum of product size distribution for an industrial HPGR unit.…”

“…Those include pre-crushing, compression, and edge effect. Correspondingly, Klymowsky and Liu (1997) multi-component HPGR model consisted of three steps for quantifying the product size distribution: (1) predicting the resulting particle size distribution in the pre-crushing zone through sequential breakage similar to Austin and Trubelja (1994) method; (2) predicting the resulting particle size distribution in the center using the population balance model similar to Liu and Schönert (1996) model; (3) defining the theoretical particle size distribution for the edge product and solving the energy consupmtion balance between all three breakage zones based on the fact that a pressure gradient exists between the two rolls. Klymowsky and Liu (1997) created a large experimental dataset based on a 900 mm diameter by 250 mm pilot-scale HPGR.…”

“…Klymowsky and Liu (1997) created a large experimental dataset based on a 900 mm diameter by 250 mm pilot-scale HPGR. They set the selection and breakage functions and the energy split function according to the results that Liu and Schönert (1996) had obtained in their ideal particle-bed tests on quartz. Nonetheless, around 10 remaining model parameters still needed fitting via back-calculation.…”