A review on the theory of stable dendritic growth
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
A review on the theory of stable dendritic growth
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| Автор |
Alexandrov, D. V.
Galenko, P. K. |
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| Тематика |
CONVECTION
DENDRITES HEAT AND MASS TRANSFER MICROSCOPIC SOLVABILITY PHASE TRANSFORMATIONS RAPID CRYSTALLIZATION SELECTION CRITERION CRYSTAL IMPURITIES HEAT CONVECTION MASS TRANSFER NANOCRYSTALLINE MATERIALS UNDERCOOLING CRYSTAL GROWTH PROCESS CRYSTALLINE SYMMETRY CRYSTALLIZATION CONDITIONS HEAT AND MASS TRANSFER NONLOCAL DIFFUSION POLYCRYSTALLINE STRUCTURE SHARP INTERFACE MODEL TRANSPORT PHENOMENA ARTICLE CRYSTALLIZATION DENDRITE DIFFUSION HEAT HYDRODYNAMICS MATERIALS SCIENCE THERMODYNAMICS STABILITY CRITERIA |
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| Описание |
This review article summarizes the main outcomes following from recently developed theories of stable dendritic growth in undercooled one-component and binary melts. The nonlinear heat and mass transfer mechanisms that control the crystal growth process are connected with hydrodynamic flows (forced and natural convection), as well as with the non-local diffusion transport of dissolved impurities in the undercooled liquid phase. The main conclusions following from stability analysis, solvability and selection theories are presented. The sharp interface model and stability criteria for various crystallization conditions and crystalline symmetries met in actual practice are formulated and discussed. The review is also focused on the determination of the main process parameters - the tip velocity and diameter of dendritic crystals as functions of the melt undercooling, which define the structural states and transitions in materials science (e.g. monocrystalline-polycrystalline structures). Selection criteria of stable dendritic growth mode for conductive and convective heat and mass fluxes at the crystal surface are stitched together into a single criterion valid for an arbitrary undercooling. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).
Deutsche Forschungsgemeinschaft, DFG, (GA 1142/11-1) Russian Science Foundation, RSF, (20-61-46013) Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present review article. Competing interests. We declare we have no competing interests. Funding. D.V.A. acknowledges financial support from the Russian Science Foundation (grant no. 20-61-46013). P.K.G. acknowledges financial support from the German Science Foundation (DFG-Deutsche Forschungsgemeinschaft) under the Project GA 1142/11-1. Acknowledgements. Authors thank Efim Brener and Mathis Plapp for the fruitful discussions. |
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| Дата |
2024-04-22T15:52:59Z
2024-04-22T15:52:59Z 2021 |
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| Тип |
Review
Review (info:eu-repo/semantics/review) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Alexandrov, DV & Galenko, PK 2021, 'A review on the theory of stable dendritic growth', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200325. https://doi.org/10.1098/rsta.2020.0325
Alexandrov, D. V., & Galenko, P. K. (2021). A review on the theory of stable dendritic growth. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200325]. https://doi.org/10.1098/rsta.2020.0325 1364-503X Final All Open Access; Bronze Open Access https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0325 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0325 http://elar.urfu.ru/handle/10995/132379 46927199 10.1098/rsta.2020.0325 85111822147 675372800005 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by-nc |
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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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