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Stability of the class II classified product crystallizer with fines removal
Author(s) -
Randolph Alan D.,
Beer Gary L.,
Keener James P.
Publication year - 1973
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690190610
Subject(s) - nucleation , dimensionless quantity , chemistry , growth rate , thermodynamics , population , exponent , yield (engineering) , stability (learning theory) , kinetics , mineralogy , mathematics , physics , machine learning , computer science , linguistics , philosophy , demography , geometry , quantum mechanics , sociology
The stability of crystal‐size distribution (CSD) in the classified product crystallizer with fines removal was investigated using spectral techniques to determine stable solutions of the linearized population balance. The model used to describe the crystallizer assumed rapid growth kinetics (high yield), magma‐dependent secondary nucleation, and recycle of dissolved fines. Fines removal and classified product removal were characterized in the model by piece‐wise constant removal rates ( R – 1) and z times the MSMPR removal rate, respectively. Stability regions were presented as critical values of the kinetic nucleation/growth rate exponent i = d (log B °)/ d (log G ) versus dimensionless parameters of the system. The parameters which influence CSD stability were maximum fines size and removal rate, product classification size and removal rate, and the magama‐characterizing exponent in the nucleation expression. Whether or not dissolved fines are recycled directly back to the crystal magma also influences stability.