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The shape of dendritic tips: A test of theory with computations and experiments

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Заглавие The shape of dendritic tips: A test of theory with computations and experiments
 
Автор Alexandrov, D. V.
Toropova, L. V.
Titova, E. A.
Kao, A.
Demange, G.
Galenko, P. K.
Rettenmayr, M.
 
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
 
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).
 
Дата 2024-04-22T15:53:39Z
2024-04-22T15:53:39Z
2021
 
Тип Article
Journal article (info:eu-repo/semantics/article)
Published version (info:eu-repo/semantics/publishedVersion)
 
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
 
Язык en
 
Права Open access (info:eu-repo/semantics/openAccess)
cc-by
 
Формат application/pdf
 
Издатель Royal Society Publishing
 
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