The truth about population balance modeling

نویسندگان

چکیده

Early researchers hoped to describe ball milling as a series of particle breakage and re-breakage events. This review reveals that needed input population balance modeling (PBM), the “breakage function,” was never intended be taken literally but assumed solve matrix calculations. Along with liquid-tracer–based residence time, rates each size class (the “selection function”) could then back-calculated, given measured mill feed product distributions. wet model, comprising function, solids time liquid, back-calculated rates, works quite well in circuit simulations. All three individual elements, however, are false. The model cannot used assess changes itself. While shrouded from proper vetting by complexity, lack progress industry eventually resulted discontinuation almost all PBM research. cumulative grinding provides practical replacement.

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ژورنال

عنوان ژورنال: CIM journal

سال: 2023

ISSN: ['2689-8403', '1923-6026']

DOI: https://doi.org/10.1080/19236026.2023.2204708