Selection criterion of a stable dendrite growth in rapid solidification / Alexandrov D. V.,Danilov D. A.,Galenko P. K. // INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - 2016. - V. 101, l. . - P. 789-799.

ISSN/EISSN:

0017-9310 / 1879-2189

Type:

Article

Abstract:

We present an analysis of a free dendrite growing in a binary mixture under non-isothermal conditions. The stable growth mode is analyzed through the solvability condition giving the stability criterion for the dendrite tip as a function of the thermal Peclet number, P-T, and ratio, W = V/V-D, of the dendrite velocity V and solute diffusion speed V-D in bulk liquid. We extend previous studies limited to small values of the Peclet numbers, by considering the effect of the anisotropy of surface energy for the needle-like dendrite growing at arbitrary Peclet numbers and under local non-equilibrium solute diffusion described by a hyperbolic type of transport equation. Transitions in growth regimes, namely, from solute diffusion limited to thermo-solutal regime and, finally, to pure thermally controlled regime of the anisotropic dendrite are derived and revealed. Limiting cases of known criteria for anisotropic dendrite growing at small and high growth Peclet numbers are provided. A comparison with the previously obtained criterion of marginal stability of rapidly growing dendrite is made. (C) 2016 Elsevier Ltd. All rights reserved.

Author keywords:

Solidification; Interface; Crystal; Dendrite; Solute; Non-Fickian diffusion CRYSTAL-GROWTH; PATTERN SELECTION; ASSISTED GROWTH; NEEDLE-CRYSTAL; BINARY ALLOY; MODEL; NANOSTRUCTURES; DIFFUSION; MELT; CONVECTION

DOI:

10.1016/j.ijheatmasstransfer.2

Web of Science ID:

ISI:000380417300078

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	OCT
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
EISSN	1879-2189
Keywords-Plus	CRYSTAL-GROWTH; PATTERN SELECTION; ASSISTED GROWTH; NEEDLE-CRYSTAL; BINARY ALLOY; MODEL; NANOSTRUCTURES; DIFFUSION; MELT; CONVECTION
Research-Areas	Thermodynamics; Engineering; Mechanics
Web-of-Science-Categories	Thermodynamics; Engineering, Mechanical; Mechanics
Author-Email	denis.danilov@kit.edu
ResearcherID-Numbers	Danilov, Denis/C-1373-2009 Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Number-of-Cited-References	66
Usage-Count-Last-180-days	4
Usage-Count-Since-2013	12
Journal-ISO	Int. J. Heat Mass Transf.
Doc-Delivery-Number	DS1XB