Результаты исследований: Вклад в журнал › Обзорная статья › Рецензирование
Результаты исследований: Вклад в журнал › Обзорная статья › Рецензирование
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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