Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/118207
Title: Dendritic growth of ice crystals: A test of theory with experiments
Authors: Toropova, L. V.
Titova, E. A.
Alexandrov, D. V.
Galenko, P. K.
Rettenmayr, M.
Kao, A.
Demange, G.
Issue Date: 2021
Publisher: IOP Publishing Ltd
Citation: Dendritic growth of ice crystals: A test of theory with experiments / L. V. Toropova, E. A. Titova, D. V. Alexandrov et al. // Journal of Physics Condensed Matter. — 2021. — Vol. 33. — Iss. 36. — 365402.
Abstract: Motivated by an important application of dendritic crystals in the form of an elliptical paraboloid, which widely spread in nature (ice crystals), we develop here the selection theory of their stable growth mode. This theory enables us to separately define the tip velocity of dendrites and their tip diameter as functions of the melt undercooling. This, in turn, makes it possible to judge the microstructure of the material obtained as a result of the crystallization process. So, in the first instance, the steady-state analytical solution that describes the growth of such dendrites in undercooled one-component liquids is found. Then a system of equations consisting of the selection criterion and the undercooling balance that describes a stable growth mode of elliptical dendrites is formulated and analyzed. Three parametric solutions of this system are deduced in an explicit form. Our calculations based on these solutions demonstrate that the theoretical predictions are in good agreement with experimental data for ice dendrites growing at small undercoolings in pure water. © 2021 IOP Publishing Ltd.
Keywords: CRYSTAL ANISOTROPY
DENDRITIC GROWTH
SELECTION THEORY
CRYSTALS
DENDRITES (METALLOGRAPHY)
UNDERCOOLING
CRYSTALLIZATION PROCESS
DENDRITIC CRYSTAL
DENDRITIC GROWTH
MELT UNDERCOOLING
PARAMETRIC SOLUTIONS
SELECTION CRITERIA
SYSTEM OF EQUATIONS
UNDERCOOLINGS
ICE
URI: http://elar.urfu.ru/handle/10995/118207
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85103808981
ISSN: 9538984
DOI: 10.1088/1361-648X/ac0dd5
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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