Modelling of crystal growth in multicomponent solutions

Yuko Mori*, Jaakko Partanen, Marjatta Louhi-Kultanen, Juha Kallas

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


The crystal growth model was derived from Maxwell-Stefan equations for the diffusioncontrolled growth regime. As a model system, the ternary potassium dihydrogen phosphate (crystallizing substance)-water (solvent)-urea (foreign substance) system was employed. The thermodynamic model for the present system was successfully derived by the Pitzer method and allowed calculating activity coefficients of each component. The resulting activity-based driving force on each component and other solution properties; mass transfer coefficient, concentration of each component and solution density, were introduced to the Maxwell-Stefan equations. The crystal growth rates were successively determined by solving the Maxwell-Stefan equations. The model was evaluated from single crystal growth measurements. The urea concentrations, supersaturation level and solution velocity were varied. The results showed that experimental and predicted growth rates are in acceptable agreements.

Original languageEnglish
Pages (from-to)785-790
Number of pages6
JournalComputer Aided Chemical Engineering
Issue numberC
Publication statusPublished - 2003
MoE publication typeA1 Journal article-refereed

Fingerprint Dive into the research topics of 'Modelling of crystal growth in multicomponent solutions'. Together they form a unique fingerprint.

Cite this