A New Population Balance Model for Crystal Size Distributions: Reversible, Size-Dependent Growth and Dissolution

2001 ◽  
Vol 240 (1) ◽  
pp. 139-149 ◽  
Author(s):  
Benjamin J. McCoy
Keyword(s):  
Crystal Size ◽  
Population Balance ◽  
Balance Model ◽  
Population Balance Model ◽  
Size Distributions ◽  
Size Dependent ◽  
Crystal Size Distributions ◽  
Dependent Growth

Stochastic analysis of the Transient Behavior of an msmpr Crystallizer

1987 ◽  
Vol 1 (4) ◽  
pp. 383-404 ◽  
Author(s):  
S. T. Chou ◽  
J. P. Hsu
Keyword(s):  
Growth Rate ◽  
Steady State ◽  
Size Distribution ◽  
Seed Size ◽  
Crystal Size ◽  
Transient Behavior ◽  
Balance Model ◽  
Mixed Product ◽  
Size Dependent ◽  
Dependent Growth

The transient crystal size distribution (CSD) in a continuous mixed suspension, mixed product removal crystallizer has been modeled through a stochastic approach. Effects of the seed size distribution and size-dependent growth rate on both the transient and steady-state CSD have been investigated. It has been found that the seed size distribution causes a maximum in the steady-state CSD and the size-dependent growth rate results in an upward curvature at the lower end in a semilogarithmic plot of steady-state CSD against crystal size. Under appropriate conditions, the mean CSD of the present stochastic model reduces to the results predicted by the corresponding deterministic population balance model.

Dynamics of crystal size distributions with size-dependent rates

2002 ◽  
Vol 243 (1) ◽  
pp. 204-213 ◽  
Author(s):  
Giridhar Madras ◽  
Benjamin J. McCoy
Keyword(s):  
Crystal Size ◽  
Size Distributions ◽  
Size Dependent ◽  
Crystal Size Distributions

Empirical Size-Dependent Growth Rate Models

1992 ◽  
Vol 57 (2) ◽  
pp. 309-325 ◽  
Author(s):  
Jerzy Mydlarz
Keyword(s):  
Growth Rate ◽  
Crystal Size ◽  
Size Range ◽  
Growth Models ◽  
Crystal Growth Rate ◽  
Size Distributions ◽  
Large Crystal ◽  
Size Dependent ◽  
Dependent Growth ◽  
Empirical Size

A comparison of well known size-dependent crystal growth rate models has been presented. The models have been verified for crystal size distributions which have been recently presented in the literature. It is shown that for large crystal size range both the Abegg-Stevenson-Larson (ASL) model and the Canning-Randolph (C-R) model can be reduced to the simplest Bransom model. Two another kinetics size-dependent growth rate models have been presented and tested for size distributions which were recently presented by Mydlarz and Jones. Application of the proposed size-dependent growth models gives much better estimation of growth rate than other size-dependent models tested as well as Sikdar and White-Bendig-Larson methods.

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