Toropova, L V, Titova, E A, Alexandrov, D V, Galenko, P K, Rettenmayr, M, Kao, Andrew ORCID: 0000-0002-6430-2134 and Demange, G (2021) Dendritic growth of ice crystals: a test of theory with experiments. Journal of Physics: Condensed Matter, 33:365402. ISSN 0953-8984 (Print), 1361-648X (Online) (doi:https://doi.org/10.1088/1361-648X/ac0dd5)

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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.

Item Type:	Article
Uncontrolled Keywords:	dendritic growth, selection theory, crystal anisotropy
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Faculty / School / Research Centre / Research Group:	Faculty of Liberal Arts & Sciences Faculty of Engineering & Science > Centre for Numerical Modelling & Process Analysis (CNMPA) Faculty of Engineering & Science > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG)
Related URLs:	Publisher http://pubmed.ncbi.nlm.nih.gov/34161932/
Last Modified:	08 Jul 2022 01:38
URI:	http://gala.gre.ac.uk/id/eprint/33931

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