Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: An extension of the Lifshitz-Slyozov theory
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: An extension of the Lifshitz-Slyozov theory
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| Автор |
Alexandrova, I. V.
Alexandrov, D. V. Makoveeva, E. V. |
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| Тематика |
CRYSTAL GROWTH
DIFFERENT MASS TRANSFER MECHANISMS OSTWALD RIPENING PHASE TRANSFORMATIONS DISTRIBUTION FUNCTIONS OSTWALD RIPENING INITIAL CONDITIONS INTERMEDIATE STAGE MASS TRANSFER MECHANISM PARTICLE GROWTH RATES PHASE TRANSFORMATION PROCESS RELAXATION DYNAMICS SYNCHRONOUS OPERATIONS TRANSPORT PHENOMENA MASS TRANSFER |
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| Описание |
The Ostwald ripening stage of a phase transformation process with allowance for synchronous operation of various mass transfer mechanisms (volume diffusion and diffusion along the block boundaries and dislocations) and the initial condition for the particle-radius distribution function is theoretically studied. The initial condition is taken from the analytical solution describing the intermediate stage of a phase transition process. The present theory focuses on relaxation dynamics from the beginning of the ripening process to its final asymptotic state, which is described by the previously constructed theories (Slezov VV. et al. 1978 J. Phys. Chem. Solids 39, 705-709. (doi:10.1016/0022-3697(78)90002-1) and Alexandrov & Alexandrova 2020 Phil. Trans. R. Soc. A 378, 20190247. (doi:10.1098/rsta.2019.0247)). An evolutionary behaviour of particle growth rates dependent on various mass transfer mechanisms and time is analytically described. The boundaries of the transition layer, which surround the blocking point, are found. The fundamental and relaxation contributions to the particle-radius distribution function are derived for the simultaneous occurrence of various mass transfer mechanisms. The left branch of this function is shifted to smaller particle radii whereas its right branch extends to the right of the blocking point as compared with the asymptotic universal distribution function. The theory under consideration well agrees with experimental data. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).
Russian Science Foundation, RSF, (18-19-00008) Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present research article. Competing interests. We declare we have no competing interests. Funding. This work was supported by the Russian Science Foundation (grant no. 18-19-00008). |
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| Дата |
2024-04-22T15:53:08Z
2024-04-22T15:53:08Z 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 |
Alexandrova, IV, Alexandrov, DV & Makoveeva, EV 2021, 'Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: An extension of the Lifshitz-Slyozov theory', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200308. https://doi.org/10.1098/rsta.2020.0308
Alexandrova, I. V., Alexandrov, D. V., & Makoveeva, E. V. (2021). Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: An extension of the Lifshitz-Slyozov theory. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200308]. https://doi.org/10.1098/rsta.2020.0308 1364-503X Final All Open Access; Bronze Open Access https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0308 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0308 http://elar.urfu.ru/handle/10995/132401 46935312 10.1098/rsta.2020.0308 85111889172 675372800004 |
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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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