Dendrite growth under forced convection: analysis methods and experimental tests / Alexandrov D. V.,Galenko P. K. // PHYSICS-USPEKHI. - 2014. - V. 57, l. 8. - P. 771-786.

ISSN/EISSN:

1063-7869 / 1468-4780

Type:

Review

Abstract:

An analysis is given of the nonisothermal growth of a dendrite crystal under forced fluid flow in a binary system. The theoretical model utilized employs a free moving crystal-liquid interface and makes use of the Oseen approximation for the equations of motion of the liquid. A criterion for the stable growth of two-dimensional and three-dimensional parabolic dendrites is derived under the assumption of an anisotropic surface tension at the crystal-liquid interface, which generalizes the previous known results for the stable growth of a dendrite with convection in a one-component fluid and for the growth of a dendrite in a two-component system at rest. The criterion obtained within the Oseen hydrodynamic approximation is extended to arbitrary Peclet numbers and dendrite growth with convection in a nonisothermal multicomponent system. Model predictions are compared with experimental data on crystal growth kinetics in droplets processed in electromagnetic and electrostatic leviation facilities. Theoretical and simulation methods currently being developed are applied to crystallization processes under earthly and reduced gravity conditions.

Author keywords:

RAPID SOLIDIFICATION; CRYSTAL-GROWTH; PATTERN SELECTION; UNDERCOOLED MELTS; PLANAR INTERFACE; GRAIN-REFINEMENT; METALLIC MELTS; EXTERNAL FLOW; BINARY ALLOY; STABILITY

DOI:

10.3367/UFNe.0184.201408b.0833

Web of Science ID:

ISI:000345112400002

Соавторы в МНС:

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Другие поля

Поле	Значение
Publisher	TURPION LTD
Address	C/O TURPION LTD, IOP PUBLISHING, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6HG, ENGLAND
Language	English
EISSN	1468-4780
Keywords-Plus	RAPID SOLIDIFICATION; CRYSTAL-GROWTH; PATTERN SELECTION; UNDERCOOLED MELTS; PLANAR INTERFACE; GRAIN-REFINEMENT; METALLIC MELTS; EXTERNAL FLOW; BINARY ALLOY; STABILITY
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	dmitri.alexandrov@urfu.ru peter.galenko@uni-jena.de
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Laboratory of Multiscale Mathematical Modeling; Ural Federal University; Deutscher Akademischer Austauschdienst (DAAD); Russian Federation Ministry of Education and Science {[}11.9139.2014]; Russian Research Fund; European Space Agency (project MULTIPHAS, ESA-ELIPS) {[}AO-2004-144]; Deutsches Zentrum fur Luft- und Raumfahrt {[}50WM1140]
Funding-Text	The authors are grateful to Dieter Herlach for the long-term cooperation in experimental and theoretical research on new materials, and S Binder, M Kolbe, H Moller, S Reutzel, Th Volkmann, and D Holland-Moritz for experimental verification of the theory and fruitful discussions of its results. We also thank V S Yuferev for reading the manuscript and the helpful criticism. The work was partly supported by the Laboratory of Multiscale Mathematical Modeling, Ural Federal University, Deutscher Akademischer Austauschdienst (DAAD), the Russian Federation Ministry of Education and Science (project No. 11.9139.2014), the Russian Research Fund, the European Space Agency (project MULTIPHAS, ESA-ELIPS AO-2004-144), and Deutsches Zentrum fur Luft- und Raumfahrt (contract 50WM1140).
Number-of-Cited-References	93
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	17
Journal-ISO	Phys. Usp.
Doc-Delivery-Number	AT7JN