A rigorous breakage matrix methodology for characterization of multi-particle interactions in dense-phase particle breakage

Document Type

Article

Publication Date

9-1-2012

Abstract

Broadbent and Calcott's breakage matrix methodology has been used for more than 50 years to model various comminution processes and to determine breakage functions from experimental data. The methodology assumes first-order law of breakage and neglects mechanical multi-particle interactions that are especially prevalent in dense-phase comminution processes and breakage tests. Although several researchers severely criticized this aspect of the methodology, Baxter et al. (2004, Powder Technol. 143-144:174-178) were the first to modify the methodology toward determining the elements of a feed-dependent breakage matrix. However, no non-linear breakage matrix has ever been constructed from experimental data using the modified approach. In this study, a critical analysis of this modified approach has been performed, and the non-linear breakage matrix was fundamentally derived from a non-linear population balance model. Different approaches were proposed to identify the breakage functions based on the nature of available breakage tests on multiple mono-dispersed feed samples and at least one poly-dispersed sample. Using the derived equations, available experimental data on the breakage of a binary mixture of coarse and fine limestone particles in uniaxial compression test were fitted to quantify the multi-particle interactions. Superior fitting capability of rational approximation to the effectiveness factor was demonstrated. © 2012 The Institution of Chemical Engineers.

Identifier

84865542596 (Scopus)

Publication Title

Chemical Engineering Research and Design

External Full Text Location

https://doi.org/10.1016/j.cherd.2012.01.005

ISSN

02638762

First Page

1177

Last Page

1188

Issue

9

Volume

90

Grant

EEC-0540855

Fund Ref

National Science Foundation

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