The shape of dendritic tips: A test of theory with computations and experiments
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригиналаПоле | Значение | |
Заглавие |
The shape of dendritic tips: A test of theory with computations and experiments
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Автор |
Alexandrov, D. V.
Toropova, L. V. Titova, E. A. Kao, A. Demange, G. Galenko, P. K. Rettenmayr, M. |
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Тематика |
DENDRITES
DENDRITIC TIPS ENTHALPY-BASED METHOD PHASE TRANSFORMATIONS PHASE-FIELD METHOD SHAPE OF CRYSTALS CRYSTALS SUPERCOOLING COMPUTATIONAL SIMULATION DENDRITIC CRYSTAL PHASE FIELDS RESEARCH GROUPS SHAPE FUNCTIONS SUPERCOOLED LIQUIDS TIP SHAPE TRANSPORT PHENOMENA ARTICLE CALCULATION COMPUTER SIMULATION CRYSTAL DENDRITE ENTHALPY COMPUTATION THEORY |
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Описание |
This article is devoted to the study of the tip shape of dendritic crystals grown from a supercooled liquid. The recently developed theory (Alexandrov & Galenko 2020 Phil. Trans. R. Soc. A 378, 20190243. (doi:10.1098/rsta.2019.0243)), which defines the shape function of dendrites, was tested against computational simulations and experimental data. For a detailed comparison, we performed calculations using two computational methods (phase-field and enthalpy-based methods), and also made a comparison with experimental data from various research groups. As a result, it is shown that the recently found shape function describes the tip region of dendritic crystals (at the crystal vertex and some distance from it) well. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).
European Space Agency, ESA, (AO-2009-829) Deutsche Forschungsgemeinschaft, DFG, (GA1142/11-1) Russian Foundation for Basic Research, РФФИ, (19-32-51009) Deutsches Zentrum für Luft- und Raumfahrt, DLR, (50MW1941) Ministry of Education and Science of the Russian Federation, Minobrnauka, (FEUZ-2020-0057) Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present article. Competing interests. We declare we have no competing interests. Funding. This article represents a complex study of the research problem on tip shapes of dendritic crystals. It was made possible under the financial support from the Russian Foundation for Basic Research (19-32-51009) and the Ministry of Science and Higher Education of the Russian Federation (FEUZ-2020-0057). Additionally, financial support is acknowledged from the European Space Agency (AO-2009-829), the Deutsches Zentrum für Luft-und Raumfahrt (50MW1941) and the Deutsche Forschungsgemeinschaft (GA1142/11-1). |
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Дата |
2024-04-22T15:53:39Z
2024-04-22T15:53:39Z 2021 |
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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 |
Alexandrov, DV, Toropova, LV, Titova, EA, Kao, A, Demange, G, Galenko, PK & Rettenmayr, M 2021, 'The shape of dendritic tips: A test of theory with computations and experiments', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200326. https://doi.org/10.1098/rsta.2020.0326
Alexandrov, D. V., Toropova, L. V., Titova, E. A., Kao, A., Demange, G., Galenko, P. K., & Rettenmayr, M. (2021). The shape of dendritic tips: A test of theory with computations and experiments. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200326]. https://doi.org/10.1098/rsta.2020.0326 1364-503X Final All Open Access; Bronze Open Access https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0326 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0326 http://elar.urfu.ru/handle/10995/132472 46780319 10.1098/rsta.2020.0326 85103808250 675372800012 |
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Язык |
en
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Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by |
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Формат |
application/pdf
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Издатель |
Royal Society Publishing
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Источник |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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