The Solid–Liquid Phase Interface Dynamics in an Undercooled Melt with a Solid Wall

Titova, E. A.; Alexandrov, D. V.

doi:10.3390/math12020327

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://elar.urfu.ru/handle/10995/141739

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Titova, E. A.	en
dc.contributor.author	Alexandrov, D. V.	en
dc.date.accessioned	2025-02-25T11:02:25Z	-
dc.date.available	2025-02-25T11:02:25Z	-
dc.date.issued	2024	-
dc.identifier.citation	Titova, E., & Alexandrov, D. (2024). The Solid–Liquid Phase Interface Dynamics in an Undercooled Melt with a Solid Wall. Mathematics, 12(2), [327]. https://doi.org/10.3390/math12020327	apa_pure
dc.identifier.issn	2227-7390	-
dc.identifier.other	Final	2
dc.identifier.other	All Open Access; Gold Open Access	3
dc.identifier.other	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183203196&doi=10.3390%2fmath12020327&partnerID=40&md5=46e128f0800097a19a8971caa3db656c	1
dc.identifier.other	https://www.mdpi.com/2227-7390/12/2/327/pdf?version=1705653924	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/141739	-
dc.description.abstract	A new boundary integral equation for the interface function of a curved solid/liquid phase interface propagating into an undercooled one-component melt is derived in the presence of a solid wall in liquid. Green’s function technique is used to transform a purely thermal boundary value problem to a single integro-differential equation for the interface function in two- and three-dimensional cases. It is shown that a solid wall represents an additional source of heat and melt undercooling can be negative in the vicinity of the wall. The new boundary integral equation has a limiting transition to previously developed theory in the absence of a solid wall. © 2024 by the authors.	en
dc.description.sponsorship	Ministry of Education and Science of the Russian Federation, Minobrnauka, (FEUZ-2023-0022); Ministry of Education and Science of the Russian Federation, Minobrnauka	en
dc.description.sponsorship	This work was financially supported by the Ministry of Science and Higher Education of the Russian Federation (project no. FEUZ-2023-0022).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Multidisciplinary Digital Publishing Institute (MDPI)	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.rights	cc-by	other
dc.source	Mathematics	2
dc.source	Mathematics	en
dc.subject	BOUNDARY INTEGRAL EQUATION	en
dc.subject	DENDRITES	en
dc.subject	GREEN’S FUNCTION TECHNIQUE	en
dc.subject	PHASE TRANSITIONS	en
dc.subject	PROPAGATION OF CURVED SOLID–LIQUID INTERFACES	en
dc.subject	UNDERCOOLED MELTS	en
dc.title	The Solid–Liquid Phase Interface Dynamics in an Undercooled Melt with a Solid Wall	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.3390/math12020327	-
dc.identifier.scopus	85183203196	-
local.contributor.employee	Titova E.A., Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federation	en
local.contributor.employee	Alexandrov D.V., Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federation	en
local.issue	2	-
local.volume	12	-
dc.identifier.wos	001150871500001	-
local.contributor.department	Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federation	en
local.identifier.pure	52301568	-
local.description.order	327
local.identifier.eid	2-s2.0-85183203196	-
local.fund.rsf	Ministry of Education and Science of the Russian Federation, Minobrnauka, (FEUZ-2023-0022); Ministry of Education and Science of the Russian Federation, Minobrnauka
local.fund.rsf	This work was financially supported by the Ministry of Science and Higher Education of the Russian Federation (project no. FEUZ-2023-0022).
local.identifier.wos	WOS:001150871500001	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

Файлы этого ресурса:

Файл	Описание	Размер	Формат
2-s2.0-85183203196.pdf		995,47 kB	Adobe PDF	Просмотреть/Открыть

Показать базовое описание ресурса Статистика

Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.