Evaporation kinetics of a polydisperse ensemble of drops
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Evaporation kinetics of a polydisperse ensemble of drops
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| Автор |
Ivanov, A. A.
Alexandrova, I. V. Alexandrov, D. V. |
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| Тематика |
DISTRIBUTION FUNCTION
EVAPORATION METASTABLE STATE PARTICULATE ASSEMBLAGE PHASE TRANSFORMATION SUPERHEAT DIFFUSION DISTRIBUTION FUNCTIONS DROPS FOKKER PLANCK EQUATION HEAT TRANSFER INTEGRAL EQUATIONS KINETICS NONLINEAR EQUATIONS POLYDISPERSITY POPULATION STATISTICS DROPLET EVAPORATION ENGINEERING DEVICES EVAPORATION KINETICS KINETIC EQUATIONS PARAMETRIC FORMS POPULATION DENSITY DISTRIBUTION POWER ENGINEERING TRANSPORT PHENOMENA ARTICLE COOLING DIFFUSION EVAPORATION HEAT TRANSFER PHYSICS POPULATION DENSITY SPRAY DRYING THEORETICAL STUDY EVAPORATION |
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| Описание |
A mathematical model of the evaporation of a polydisperse ensemble of drops, with allowance for a nonlinear 'diffusion' term in the kinetic equation for the population density distribution function, is developed. The model describes the interaction of a gas phase with vaporizing drops: it has great potential for application in condensed matter physics, thermophysics and engineering devices (e.g. spray drying, cooling, power engineering). The kinetics of heat transfer between phases is theoretically studied. An analytical solution to the integro-differential equations of the process of droplet evaporation is found in a parametric form. Analytical solutions in the presence and absence of the 'diffusion' term are compared. It is shown that the fluctuations in particle evaporation rates ('diffusion' term in the Fokker-Planck equation) play a decisive role in the evolutionary behaviour of a polydisperse ensemble of vaporizing liquid drops. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).
Russian Foundation for Basic Research, РФФИ, (20-08-00199) 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 Foundation for Basic Research (grant no. 20-08-00199). |
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| Дата |
2024-04-22T15:53:04Z
2024-04-22T15:53:04Z 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 |
Ivanov, AA, Alexandrova, IV & Alexandrov, DV 2021, 'Evaporation kinetics of a polydisperse ensemble of drops', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200309. https://doi.org/10.1098/rsta.2020.0309
Ivanov, A. A., Alexandrova, I. V., & Alexandrov, D. V. (2021). Evaporation kinetics of a polydisperse ensemble of drops. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200309]. https://doi.org/10.1098/rsta.2020.0309 1364-503X Final All Open Access; Bronze Open Access https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0309 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0309 http://elar.urfu.ru/handle/10995/132390 46934994 10.1098/rsta.2020.0309 85111854992 675372800011 |
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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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