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Mathematical model of particle size distribution of crystals taking into account the growth dispersion
Author(s) -
Baumann K.H.
Publication year - 1983
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170181221
Subject(s) - dispersion (optics) , particle size distribution , diffusion , crystal (programming language) , distribution (mathematics) , particle size , suspension (topology) , crystal growth , statistical physics , particle (ecology) , thermodynamics , chemistry , materials science , physics , mathematics , optics , mathematical analysis , oceanography , homotopy , computer science , pure mathematics , geology , programming language
This paper presents a mathematical model to describe the effect which the growth dispersion has on the particle‐size distribution of crystals which are formed in a crystallizer with an ideally mixed suspension and ideal product discharge (MSMPR crystallizer). This model starts from a number density distribution of crystals, which shows dependence on the process duration, the rate of crystal growth and the crystal size. The model differs from the diffusion model. The distribution data calculated are in agreement with distribution data measured and published by a number of other authors. The influence of the two parameters b and r LH on the mathematically determined frequency distributions is being studied.