Modified kinetic rate equation model for cooling crystallization

Yuntae Jin, Kiho Park, Dae Ryook Yang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)2095-2103
Number of pages9
JournalKorean Journal of Chemical Engineering
Issue number12
Publication statusPublished - 2019 Dec 1


  • Cooling Crystallization
  • Crystallization
  • Metastable Zone Width
  • Modeling
  • Population Balance

ASJC Scopus subject areas

  • General Chemistry
  • General Chemical Engineering


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