Mathematical Modeling of Nucleation and Growth Processes of Ellipsoidal Crystals in Binary Melts
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Mathematical Modeling of Nucleation and Growth Processes of Ellipsoidal Crystals in Binary Melts
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| Автор |
Nikishina, M. A.
Alexandrov, D. V. |
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| Тематика |
BINARY MELTS
CRYSTAL GROWTH ELLIPSOIDAL PARTICLES NUCLEATION PARTICULATE ASSEMBLAGES |
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| Описание |
The transient behavior of an ensemble of ellipsoidal particles in a supercooled binary melt is considered. The model laws, based on the Fokker-Planck type kinetic equation for the particle-volume distribution function, the thermal and mass integral balances for the binary melt temperature and solute concentration, as well as the corresponding boundary and initial conditions, are formulated and solved analytically. We show that the temperature and concentration increase with time due to the effects of impurity displacement and latent heat emission by the growing ellipsoidal particles. These effects are also responsible for metastability reduction. As this takes place, increasing the initial solute concentration in a metastable binary melt increases the intensity of its desupercooling. The theory is developed for arbitrary nucleation frequency with special consideration of two important nucleation kinetics according to the Meirs and Weber-Volmer-Frenkel Zel’dovich mechanisms. An analytical solution to the integrodifferential model equations is found in a parametric form. The theory contains all limiting transitions to previously developed analytical approaches. Namely, it contains the growth of spherical crystals in binary melts and ellipsoidal crystals in single-component melts. © 2022 by the authors.
Russian Science Foundation, RSF, (18-19-00008) This work was supported by the Russian Science Foundation (project no. 18-19-00008). |
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| Дата |
2024-04-08T11:08:04Z
2024-04-08T11:08:04Z 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 |
Nikishina, MA & Alexandrov, DV 2022, 'Mathematical Modeling of Nucleation and Growth Processes of Ellipsoidal Crystals in Binary Melts', Crystals, Том. 12, № 10, 1495. https://doi.org/10.3390/cryst12101495
Nikishina, M. A., & Alexandrov, D. V. (2022). Mathematical Modeling of Nucleation and Growth Processes of Ellipsoidal Crystals in Binary Melts. Crystals, 12(10), [1495]. https://doi.org/10.3390/cryst12101495 2073-4352 Final All Open Access; Gold Open Access https://www.mdpi.com/2073-4352/12/10/1495/pdf?version=1666339143 https://www.mdpi.com/2073-4352/12/10/1495/pdf?version=1666339143 http://elar.urfu.ru/handle/10995/131569 10.3390/cryst12101495 85140725011 000874081800001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//18-19-00008
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by 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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