Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс:
http://elar.urfu.ru/handle/10995/102720
Название: | Effects of nonlinear growth rates of spherical crystals and their withdrawal rate from a crystallizer on the particle-size distribution function |
Авторы: | Makoveeva, E. V. Alexandrov, D. V. |
Дата публикации: | 2019 |
Издатель: | Royal Society Publishing |
Библиографическое описание: | Makoveeva E. V. Effects of nonlinear growth rates of spherical crystals and their withdrawal rate from a crystallizer on the particle-size distribution function / E. V. Makoveeva, D. V. Alexandrov. — DOI 10.1098/rsta.2018.0210 // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2019. — Vol. 377. — Iss. 2143. — 20180210. |
Аннотация: | In this paper, we show that the nonlinear growth rate of particles in a supersaturated solution or supercooled melt, as well as the rate of removal of crystals from the metastable liquid of a crystallizer, significantly change the size-distribution function of crystals. Taking these rates into account, we present a complete analytical solution of the integrodifferential model describing the transient nucleation of solid particles and their evolution in a metastable liquid. The distribution function and metastability degree (supersaturation or supercooling) are found by means of the separation of variables and saddlepoint methods. The nonlinear growth rates of crystals in supersaturated solutions and supercooled melts (single-component and binary) are summarized and compared with experimental data. This article is part of the theme issue 'Heterogeneous materials: Metastable and nonergodic internal structures'. ©2019 The Author(s)Published by the Royal Society. |
Ключевые слова: | EVOLUTION OF PARTICULATE ASSEMBLAGE METASTABLE LIQUID NUCLEATION PHASE TRANSFORMATION REMOVAL OF CRYSTALS CRYSTALLIZATION CRYSTALLIZERS DISTRIBUTION FUNCTIONS LIQUIDS NUCLEATION PARTICLE SIZE PARTICLE SIZE ANALYSIS PHASE TRANSITIONS SIZE DISTRIBUTION SUPERCOOLING SUPERSATURATION EVOLUTION OF PARTICULATE ASSEMBLAGE HETEROGENEOUS MATERIALS METASTABLE LIQUID NONLINEAR GROWTH RATES SADDLEPOINT METHOD SEPARATION OF VARIABLES SUPERSATURATED SOLUTIONS TRANSIENT NUCLEATION GROWTH RATE |
URI: | http://elar.urfu.ru/handle/10995/102720 |
Условия доступа: | info:eu-repo/semantics/openAccess |
Идентификатор SCOPUS: | 85062417236 |
Идентификатор WOS: | 000465497000008 |
Идентификатор PURE: | 6c161a18-e2a4-4367-9e4b-dfd41f7a4adc 9063336 |
ISSN: | 1364503X |
DOI: | 10.1098/rsta.2018.0210 |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
---|---|---|---|---|
2-s2.0-85062417236.pdf | 895,61 kB | Adobe PDF | Просмотреть/Открыть |
Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.