Mathematical modeling and design of layer crystallization in a concentric annulus with and without recirculation

TitleMathematical modeling and design of layer crystallization in a concentric annulus with and without recirculation
Publication TypeJournal Article
Year of Publication2013
AuthorsZhou L, Su M, Benyahia B, Singh A, Barton PI, Trout BL, Myerson AS, Braatz RD
JournalAIChE Journal
Volume59
Pagination1308-1321
ISSN1547-5905
Keywordscrystal growth, design, distributed parameter systems, process modeling, Solution layer crystallization
Abstract

A solution layer crystallization process in a concentric annulus is presented that removes the need for filtration. A dynamic model for layer crystallization with and without a recirculation loop is developed in the form of coupled partial differential equations describing the effects of mass transfer, heat transfer, and crystallization kinetics. The model predicts the variation of the temperature, concentration, and dynamic crystal thickness along the pipe length, and the concentration and temperature along the pipe radius. The model predictions are shown to closely track experimental data that were not used in the model’s construction, and also compared to an analytical solution that can be used for quickly obtaining rough estimates when there is no recirculation loop. The model can be used to optimize product yield and crystal layer thickness uniformity, with constraints on the supersaturation to avoid bulk nucleation by adjusting cooling temperatures in the core and jacket.

URLhttp://dx.doi.org/10.1002/aic.14049
DOI10.1002/aic.14049