Evolution of an ensemble of spherical particles in metastable media with allowance for their unsteady-state growth rates

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Evolution of an ensemble of spherical particles in metastable media with allowance for their unsteady-state growth rates. / Makoveeva, Eugenya V.; Koroznikova, Irina E.; Glebova, Alexandra E. и др.
в: European Physical Journal: Special Topics, Том 232, № 8, 2023, стр. 1177-1187.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

BibTeX

@article{8d1e0780615447abbc923fbd0781e2c7,

title = "Evolution of an ensemble of spherical particles in metastable media with allowance for their unsteady-state growth rates",

abstract = "The process of particle nucleation and growth at the initial and intermediate stages of bulk crystallization in metastable liquids is studied. An integrodifferential model of balance and kinetic equations with corresponding boundary and initial conditions is formulated with allowance for non-stationary temperature/concentration field around each evolving particle. The model is solved using the saddle-point technique in a parametric form. The particle-radius distribution function, supercooling/supersaturation of liquid, total number of particles in liquid and their average size are found analytically. The melt supercolling (solution supersaturation) decreases with time due to the latent heat of phase transformation released by evolving crystals. As this takes place, the particle-radius distribution function is bounded by the maximal size of crystals and shifts to larger crystal radii with time as a result of particle nucleation and growth. {\textcopyright} 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.",

author = "Makoveeva, {Eugenya V.} and Koroznikova, {Irina E.} and Glebova, {Alexandra E.} and Ivanov, {Alexander A.} and Alexandrov, {Dmitri V.}",

note = "The research funding from the Ministry of Science and High Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged.",

year = "2023",

doi = "10.1140/epjs/s11734-023-00854-0",

language = "English",

volume = "232",

pages = "1177--1187",

journal = "European Physical Journal: Special Topics",

issn = "1951-6355",

publisher = "Springer",

number = "8",

}

RIS

TY - JOUR

T1 - Evolution of an ensemble of spherical particles in metastable media with allowance for their unsteady-state growth rates

AU - Makoveeva, Eugenya V.

AU - Koroznikova, Irina E.

AU - Glebova, Alexandra E.

AU - Ivanov, Alexander A.

AU - Alexandrov, Dmitri V.

N1 - The research funding from the Ministry of Science and High Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged.

PY - 2023

Y1 - 2023

N2 - The process of particle nucleation and growth at the initial and intermediate stages of bulk crystallization in metastable liquids is studied. An integrodifferential model of balance and kinetic equations with corresponding boundary and initial conditions is formulated with allowance for non-stationary temperature/concentration field around each evolving particle. The model is solved using the saddle-point technique in a parametric form. The particle-radius distribution function, supercooling/supersaturation of liquid, total number of particles in liquid and their average size are found analytically. The melt supercolling (solution supersaturation) decreases with time due to the latent heat of phase transformation released by evolving crystals. As this takes place, the particle-radius distribution function is bounded by the maximal size of crystals and shifts to larger crystal radii with time as a result of particle nucleation and growth. © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

AB - The process of particle nucleation and growth at the initial and intermediate stages of bulk crystallization in metastable liquids is studied. An integrodifferential model of balance and kinetic equations with corresponding boundary and initial conditions is formulated with allowance for non-stationary temperature/concentration field around each evolving particle. The model is solved using the saddle-point technique in a parametric form. The particle-radius distribution function, supercooling/supersaturation of liquid, total number of particles in liquid and their average size are found analytically. The melt supercolling (solution supersaturation) decreases with time due to the latent heat of phase transformation released by evolving crystals. As this takes place, the particle-radius distribution function is bounded by the maximal size of crystals and shifts to larger crystal radii with time as a result of particle nucleation and growth. © 2023, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85160303843

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000994481000004

U2 - 10.1140/epjs/s11734-023-00854-0

DO - 10.1140/epjs/s11734-023-00854-0

M3 - Article

VL - 232

SP - 1177

EP - 1187

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

SN - 1951-6355

IS - 8

ER -

ID: 41544184