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Evaluation of breakage kernels for liquid–liquid systems: Solution of the population balance equation by the least‐squares method
Author(s) -
Solsvik Jannike,
Borka Zsolt,
Becker Per Julian,
SheibatOthman Nida,
Jakobsen Hugo A.
Publication year - 2014
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.21876
Subject(s) - breakage , population balance equation , population , binary number , distribution function , function (biology) , mathematics , least squares function approximation , statistics , mechanics , thermodynamics , materials science , physics , demography , arithmetic , evolutionary biology , sociology , biology , composite material , estimator
Abstract The breakage frequency and daughter size distribution functions by Coulaloglou and Tavlarides [1] are frequently adopted closures in population balance (PB) modelling. A survey of the extensions and modifications of the Coulaloglou and Tavlarides [1] breakage frequency function is provided. Furthermore, the daughter size distribution functions within the statistical category, herein the model proposed by Coulaloglou and Tavlarides [1] , are outlined. Most of the breakage models available in literature commonly assume binary breakage only. Thus, the daughter size distribution function suggested by Diemer and Olson [2] is of interest as higher order breakage can be modelled. The breakage closures are evaluated solving the population balance equation (PBE) for a liquid–liquid emulsification system in a stirred tank. The results obtained from a least‐squares solver are compared with the experimental data when available.