Directional Crystallization in the Presence of a Mushy Layer with Applications to the Earth’s Inner Core Boundary
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Directional Crystallization in the Presence of a Mushy Layer with Applications to the Earth’s Inner Core Boundary
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| Автор |
Alexandrov, D. V.
Alexandrova, I. V. Nikishina, M. A. Malygin, A. P. Toropova, L. V. |
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| Тематика |
CONVECTION
CRYSTALLIZATION EARTH’S INNER CORE BOUNDARY MUSHY REGION PRESSURE |
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| Описание |
We formulate the mathematical model of directional crystallization of a binary melt with a mushy layer (region) between purely solid and liquid phases. This model is complicated by melt convection and pressure-dependent phase transition temperature. Approximate analytical solutions to this nonlinear moving-boundary problem are constructed. Namely, the concentration of impurity, fraction of solid phase, mushy region thickness, average fluid velocity, primary interdendritic spacing, mean radius of a chimney, and a characteristic distance between chimneys in a mushy region are found. Using this analytical solution, we describe the mushy region structure near the inner core boundary of the Earth, which is consistent with computer simulations and estimates existing in recent literature. A scheme illustrating the mushy region arrangement with chimneys at the inner core boundary of the Earth is presented. This arrangement based on the developed theory represents the novelty and importance of our study. © 2023 by the authors.
Russian Foundation for Basic Research, РФФИ: 20-07-00887; Ministry of Education and Science of the Russian Federation, Minobrnauka: FEUZ-2023-0022; Russian Science Foundation, RSF: 21-79-10012 The present research work consists of theoretical and computational parts, which were supported by different financial sources. L.V.T. acknowledges the Russian Science Foundation (project no. 21-79-10012) for the derivation of analytical expressions, their interpretation, and analysis. M.A.N. acknowledges the financial support from the Russian Foundation for Basic Research (project number 20-07-00887) for the determination and calculations of material thermodynamic properties under investigation. D.V.A. and I.V.A. are grateful to the Ministry of Science and Higher Education of the Russian Federation (project no. FEUZ-2023-0022) for numerical simulations carried out on the basis of the theory developed. |
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| Дата |
2024-04-05T16:33:46Z
2024-04-05T16:33:46Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Alexandrov, DV, Alexandrova, IV, Nikishina, MA, Malygin, AP & Toropova, LV 2023, 'Directional Crystallization in the Presence of a Mushy Layer with Applications to the Earth’s Inner Core Boundary', Crystals, Том. 13, № 9, 1361. https://doi.org/10.3390/cryst13091361
Alexandrov, D. V., Alexandrova, I. V., Nikishina, M. A., Malygin, A. P., & Toropova, L. V. (2023). Directional Crystallization in the Presence of a Mushy Layer with Applications to the Earth’s Inner Core Boundary. Crystals, 13(9), [1361]. https://doi.org/10.3390/cryst13091361 2073-4352 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85172790598&doi=10.3390%2fcryst13091361&partnerID=40&md5=5c3d66b7f12d28d6739774a9b3a87541 https://www.mdpi.com/2073-4352/13/9/1361/pdf?version=1694415099 http://elar.urfu.ru/handle/10995/130828 10.3390/cryst13091361 85172790598 001077012200001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//21-79-10012
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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 |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Crystals
Crystals |
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