Dendritic growth with the six-fold symmetry: Theoretical predictions and experimental verification / Alexandrov D. V.,Galenko P. K. // JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS. - 2017. - V. 108, l. . - P. 98-103.

ISSN/EISSN:

0022-3697 / 1879-2553

Type:

Article

Abstract:

A free dendrite growing in a pure substance is considered with the interfacial effect of anisotropy and convective flow. A stable mode of dendritic growth with the six-fold crystal symmetry is studied using the solvability theory. We demonstrate that the obtained selection criterion for a stable mode of dendritic growth is a function of surface energy stiffness, arbitrary values of Peclet numbers and convective flow intensity. To predict the dendrite tip velocity V and its tip radius R a model of dendrite growth with the six-fold symmetry is formulated. We show that the model equations can be reduced to the growth kinetics with the low Peclet numbers, which exhibit the explicit relationships ``tip velocity - undercooling{''}. The model predictions are compared with experimental data on ice dendrites grown from pure undercooled water on board of the International Space Station (under microgravitational conditions, mu g) and on the Ground (under terrestrial conditions, 1 g).

Author keywords:

Growth models; Dendrites; Convection; Solvability theory FORCED-CONVECTION; UNDERCOOLED MELTS; PATTERN-FORMATION; CRYSTAL-GROWTH; ICE CRYSTALS; MUSHY LAYER; FLOW; SOLIDIFICATION; SELECTION; ALLOYS

DOI:

10.1016/j.jpcs.2017.04.016

Web of Science ID:

ISI:000403527500013

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
EISSN	1879-2553
Keywords-Plus	FORCED-CONVECTION; UNDERCOOLED MELTS; PATTERN-FORMATION; CRYSTAL-GROWTH; ICE CRYSTALS; MUSHY LAYER; FLOW; SOLIDIFICATION; SELECTION; ALLOYS
Research-Areas	Chemistry; Physics
Web-of-Science-Categories	Chemistry, Multidisciplinary; Physics, Condensed Matter
Author-Email	peter.galenko@uni-jena.de
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10095]; European Space Agency; German Aerospace Center; Friedrich-Schiller-Universitat Jena {[}50WM1541]
Funding-Text	The authors are grateful to Efim Brener for useful and fruitful discussions. D.V.A. acknowledges the support from the Russian Science Foundation {[}grant number 16-11-10095]. P.K.G. acknowledges the support from the project ``MULTIPHAS{''} by the European Space Agency, German Aerospace Center and Friedrich-Schiller-Universitat Jena, contract Nr. 50WM1541
Number-of-Cited-References	54
Usage-Count-Last-180-days	8
Usage-Count-Since-2013	8
Journal-ISO	J. Phys. Chem. Solids
Doc-Delivery-Number	EX8VE