Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102720
Title: Effects of nonlinear growth rates of spherical crystals and their withdrawal rate from a crystallizer on the particle-size distribution function
Authors: Makoveeva, E. V.
Alexandrov, D. V.
Issue Date: 2019
Publisher: Royal Society Publishing
Citation: 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.
Abstract: 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.
Keywords: 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://hdl.handle.net/10995/102720
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85062417236
PURE ID: 9063336
6c161a18-e2a4-4367-9e4b-dfd41f7a4adc
ISSN: 1364503X
DOI: 10.1098/rsta.2018.0210
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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