The Application of Two-Dimensional Population Balance Model To Study the Effect of Temperature Profile on the Crystal Size Distribution and Aspect Ratio

2012 ◽  
Vol 12 (11) ◽  
pp. 5241-5246 ◽  
Author(s):  
Mitsuru Shoji ◽  
Hiroshi Takiyama
Keyword(s):  
Aspect Ratio ◽  
Temperature Profile ◽  
Size Distribution ◽  
Crystal Size ◽  
Population Balance ◽  
Crystal Size Distribution ◽  
Balance Model ◽  
Effect Of Temperature ◽  
Population Balance Model ◽  
Two Dimensional

Two-dimensional population balance model with breakage of high aspect ratio crystals for batch crystallization

2008 ◽  
Vol 63 (12) ◽  
pp. 3271-3278 ◽  
Author(s):  
Kazuhiro Sato ◽  
Hidetada Nagai ◽  
Kazuhiro Hasegawa ◽  
Kunihiko Tomori ◽  
H.J.M. Kramer ◽  
...  
Keyword(s):  
Aspect Ratio ◽  
High Aspect Ratio ◽  
Population Balance ◽  
Balance Model ◽  
Population Balance Model ◽  
Two Dimensional ◽  
Batch Crystallization

Crystal Size Distribution and Aspect Ratio Control for Rodlike Urea Crystal via Two-Dimensional Growth Evaluation

2017 ◽  
Vol 56 (9) ◽  
pp. 2573-2581 ◽  
Author(s):  
Pan Li ◽  
Gaohong He ◽  
Dapeng Lu ◽  
Xiaoyu Xu ◽  
Shuo Chen ◽  
...  
Keyword(s):  
Aspect Ratio ◽  
Size Distribution ◽  
Crystal Size ◽  
Crystal Size Distribution ◽  
Two Dimensional ◽  
Dimensional Growth ◽  
Growth Evaluation

scholarly journals Comparison of One Dimensional and Two Dimensional Population Balance Model for Optimization of a Crystallization Process

2021 ◽  
Author(s):  
Tamar Rosenbaum ◽  
Victoria Mbachu ◽  
Niall Mitchell ◽  
John Gamble ◽  
Patricia Cho ◽  
...  
Keyword(s):  
Aspect Ratio ◽  
Crystallization Process ◽  
Population Balance ◽  
Seed Morphology ◽  
Balance Model ◽  
Population Balance Model ◽  
Two Dimensional ◽  
Population Balance Modeling ◽  
One Dimensional ◽  
The Impact

In this work, the advantage of two-dimensional population balance modeling (2D PBM) for a needle-shaped API is highlighted by comparing the one-dimensional population balance model (1D PBM) developed for an antisolvent crystallization with the 2D PBM. The API utilized for this work had extremely slow desupersaturation, and was not able to achieve solubility concentration despite a ~50 h seed bed age. While the 1D PBM is useful in optimizing the crystallization process to enhance desupersaturation, it is unable to match the particle size quantiles well. 2D PBM was necessary to probe the impact of crystallization process parameters on particle aspect ratio (AR). Simulations utilizing the 2D PBM indicated that regardless of antisolvent addition rate or seed morphology, the final material would still be high aspect ratio. This knowledge saved the investment of much time and efforts in trying to minimize particle AR with changes in crystallization processing parameters alone.

POPULATION BALANCE MODEL OF ICE CRYSTALS SIZE DISTRIBUTION DURING ICE SLURRY STORAGE

2014 ◽  
Vol 22 (02) ◽  
pp. 1440001 ◽  
Author(s):  
AIXIANG XU ◽  
ZHIQIANG LIU ◽  
TENGLEI ZHAO ◽  
XIAOXIAO WANG
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Crystal Size ◽  
Population Balance ◽  
Ice Crystals ◽  
Balance Model ◽  
Ice Slurry ◽  
Slurry Storage

Particle size distribution and number of ice crystals have a great influence on the flow and heat transfer performance of ice slurry. A population balance model (PBM) containing population and mass balances has been built to simulate numerically the development of ice particle size distribution during adiabatic ice slurry storage. The model assumes a homogeneously mixed and long-term storage tank in which the effect of breakage and aggregation between ice crystals was considered. For solving the population balance equations (PBEs) in the PBM, a semi-discrete finite volume scheme was applied. Finally, the effect of breakage and aggregation on development of ice particle size distribution was analyzed respectively. The results show that both breakage and aggregation are the two important effects on the particle size distribution and evolution of ice particle during storage, but they have opposite effect on the development of ice crystal size. In storage, breakage and aggregation have almost equivalent effect in the initial phase, but aggregation has dominant effect at last. The PBM results are in good agreement with experimental results by Pronk et al. [Effect of long-term ice slurry storage on crystal size distribution, 5th Workshop on Ice Slurries of the IIR (2002), pp. 151–160]. Therefore, the PBM presented in this paper is able to predict the development of particle size distribution during ice slurry storage.

Modeling of the formation kinetics and size distribution evolution of II–VI quantum dots

2017 ◽  
Vol 2 (4) ◽  
pp. 567-576 ◽  
Author(s):  
Stefano Lazzari ◽  
Milad Abolhasani ◽  
Klavs F. Jensen
Keyword(s):  
Quantum Dots ◽  
Size Distribution ◽  
Semiconductor Nanocrystals ◽  
Population Balance ◽  
Nanocrystal Size ◽  
Balance Model ◽  
Population Balance Model ◽  
Formation Kinetics

A population balance model describes the formation of II–VI semiconductor nanocrystals and predicts experimentally observed properties of the nanocrystal size distribution.

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