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A Stable Mode of Dendritic Growth in Cases of Conductive and Convective Heat and Mass Transfer. / Toropova, Liubov V.; Galenko, Peter K.; Alexandrov, Dmitri V.
в: Crystals, Том 12, № 7, 965, 07.2022.

Результаты исследований: Вклад в журналОбзорная статьяРецензирование

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@article{14fefcf64e3f4e2d9314184ad29462dd,
title = "A Stable Mode of Dendritic Growth in Cases of Conductive and Convective Heat and Mass Transfer",
abstract = "In this paper, we develop a theory of stable dendritic growth in undercooled melts in the presence of conductive and convective heat and mass transfer boundary conditions at the solid/liquid interface of a dendrite. To simplify the matter and construct the analytical theory, conductive and convective mechanisms are considered separately. Namely, the laws for total undercooling and selection criterion defining the stable growth mode (dendrite tip velocity and diameter) are derived for conductive and convective boundary conditions. To describe the case of simultaneous occurrence of these heat and mass transfer mechanisms, we sew together conductive and convective laws using power stitching functions. The generalised selection theory is compared with experimental data for Al24Ge76 and Ti45Al55 undercooled melts.",
keywords = "convection, dendritic growth, morphological stability, selection criterion, solvability theory, undercooling balance",
author = "Toropova, {Liubov V.} and Galenko, {Peter K.} and Alexandrov, {Dmitri V.}",
note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",
year = "2022",
month = jul,
doi = "10.3390/cryst12070965",
language = "English",
volume = "12",
journal = "Crystals",
issn = "2073-4352",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "7",

}

RIS

TY - JOUR

T1 - A Stable Mode of Dendritic Growth in Cases of Conductive and Convective Heat and Mass Transfer

AU - Toropova, Liubov V.

AU - Galenko, Peter K.

AU - Alexandrov, Dmitri V.

N1 - Publisher Copyright: © 2022 by the authors.

PY - 2022/7

Y1 - 2022/7

N2 - In this paper, we develop a theory of stable dendritic growth in undercooled melts in the presence of conductive and convective heat and mass transfer boundary conditions at the solid/liquid interface of a dendrite. To simplify the matter and construct the analytical theory, conductive and convective mechanisms are considered separately. Namely, the laws for total undercooling and selection criterion defining the stable growth mode (dendrite tip velocity and diameter) are derived for conductive and convective boundary conditions. To describe the case of simultaneous occurrence of these heat and mass transfer mechanisms, we sew together conductive and convective laws using power stitching functions. The generalised selection theory is compared with experimental data for Al24Ge76 and Ti45Al55 undercooled melts.

AB - In this paper, we develop a theory of stable dendritic growth in undercooled melts in the presence of conductive and convective heat and mass transfer boundary conditions at the solid/liquid interface of a dendrite. To simplify the matter and construct the analytical theory, conductive and convective mechanisms are considered separately. Namely, the laws for total undercooling and selection criterion defining the stable growth mode (dendrite tip velocity and diameter) are derived for conductive and convective boundary conditions. To describe the case of simultaneous occurrence of these heat and mass transfer mechanisms, we sew together conductive and convective laws using power stitching functions. The generalised selection theory is compared with experimental data for Al24Ge76 and Ti45Al55 undercooled melts.

KW - convection

KW - dendritic growth

KW - morphological stability

KW - selection criterion

KW - solvability theory

KW - undercooling balance

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000832294100001

UR - http://www.scopus.com/inward/record.url?scp=85137362189&partnerID=8YFLogxK

U2 - 10.3390/cryst12070965

DO - 10.3390/cryst12070965

M3 - Review article

VL - 12

JO - Crystals

JF - Crystals

SN - 2073-4352

IS - 7

M1 - 965

ER -

ID: 30720817