On the Theory of Unsteady-State Operation of Bulk Continuous Crystallization
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
On the Theory of Unsteady-State Operation of Bulk Continuous Crystallization
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| Автор |
Makoveeva, E. V.
Alexandrov, D. V. Ivanov, A. A. |
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| Тематика |
ANALYTICAL SOLUTIONS
CRYSTAL GROWTH EVOLUTION OF PARTICULATE ASSEMBLAGES MATHEMATICAL MODELING NUCLEATION |
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| Описание |
Motivated by an important application in the chemical and pharmaceutical industries, we consider the non-stationary growth of a polydisperse ensemble of crystals in a continuous crystallizer. The mathematical model includes the effects of crystal nucleation and growth, fines dissolution, mass influx and withdrawal of product crystals. The steady- and unsteady-state solutions of kinetic and balance equations are analytically derived. The steady-state solution is found in an explicit form and describes the stationary operation mode maintained by the aforementioned effects. An approximate unsteady-state solution is found in a parametric form and describes a time-dependent crystallization scenario, which tends toward the steady-state mode when time increases. It is shown that the particle-size distribution contains kinks at the points of fines dissolution and product crystal withdrawal. Additionally, our calculations demonstrate that the unsteady-state crystal-size distribution has a bell-shaped profile that blurs with time due to the crystal growth and removal mechanisms. The analytical solutions found are the basis for investigating the dynamic stability of a continuous crystallizer. © 2022 by the authors.
Russian Science Foundation, RSF, (22-79-00141) This study was supported by the Russian Science Foundation (project number 22-79-00141). |
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| Дата |
2024-04-08T11:08:07Z
2024-04-08T11:08:07Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Makoveeva, EV, Alexandrov, DV & Ivanov, AA 2022, 'On the Theory of Unsteady-State Operation of Bulk Continuous Crystallization', Crystals, Том. 12, № 11, 1634. https://doi.org/10.3390/cryst12111634
Makoveeva, E. V., Alexandrov, D. V., & Ivanov, A. A. (2022). On the Theory of Unsteady-State Operation of Bulk Continuous Crystallization. Crystals, 12(11), [1634]. https://doi.org/10.3390/cryst12111634 2073-4352 Final All Open Access; Gold Open Access https://www.mdpi.com/2073-4352/12/11/1634/pdf?version=1668407548 https://www.mdpi.com/2073-4352/12/11/1634/pdf?version=1668407548 http://elar.urfu.ru/handle/10995/131576 10.3390/cryst12111634 85149484537 000894366900001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-79-00141
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
MDPI
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| Источник |
Crystals
Crystals |
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