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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received May 21, 2019
Accepted October 25, 2019

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Modified kinetic rate equation model for cooling crystallization

Yuntae Jin Kiho Park¹ Dae Ryook Yang^†

Department of Chemical and Biological Engineering, Korea University, Seoul 02851, Korea ¹School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 02851, Korea

Korean Journal of Chemical Engineering, December 2019, 36(12), 2095-2103(9), 10.1007/s11814-019-0415-7

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Abstract

The kinetic rate equation (KRE) model, unlike the population balance equation model, can describe growth, nucleation, and even Ostwald ripening simultaneously. However, the KRE model cannot be applied in cooling crystallization systems. In this work, we propose a modified KRE model to describe cooling crystallization. The modified KRE model can successfully describe crystal growth and nucleation in cooling crystallization systems. In addition, the metastable zone width was simulated using the modified KRE model and compared with the experimental data in references. The results revealed that the modified KRE model could express the effect of overheating prior to cooling on the metastable zone width. As the extent of overheating increases, the metastable zone width becomes wider, which phenomenon can be clearly simulated by the modified KRE model. This modeling capability is attributed to the behavior of particle clusters that are sized less than the size of sub-nuclei. Because the population balance equation model cannot describe the metastable zone width, the modified KRE model has certain competitive advantages in its application to various crystallization systems.

Keywords

Modeling Crystallization Population Balance Metastable Zone Width Cooling Crystallization

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