Copula-based approximation of particle breakage as link between DEM and PBM

Journal
Computers & chemical engineering  
Volume
99
Start Page
158
End Page
170
Citation
Computers and Chemical Engineering (99):158-170 (2017)
Publisher DOI
10.1016/j.compchemeng.2017.01.023
Scopus ID
2-s2.0-85010285090
In process engineering, the breakage behavior of particles is needed for the modeling and optimization of comminution processes. A popular tool to describe (dynamic) processes is population balance modeling (PBM), which captures the statistical distribution of particle properties and their evolution over time. It has been suggested previously to split up the description of breakage into a machine function (modeling of loading conditions) and a material function (modeling of particle response to mechanical stress). Based on this idea, we present a mathematical formulation of machine and material functions and a general approach to compute them. Both functions are modeled using multivariate probability distributions, where in particular so-called copulas are helpful. These can be fitted to data obtained by the discrete element method (DEM). In this paper, we describe the proposed copula-based breakage model, and we construct such a model for an artificial dataset that allows to evaluate the prediction quality.
Subjects
Breakage function
Breakage probability
Copula
Discrete element method
Population balance modeling
More Funding Information
DFG, SCHM 997/14-2, priority program 1679 "Dynamische Simulation vernetzter Feststoffprozesse"