Solute redistribution around crystal shapes growing under hyperbolic mass transport / Galenko P. K.,Danilov D. A.,Alexandrov D. V. // INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - 2015. - V. 89, l. . - P. 1054-1060.

ISSN/EISSN:

0017-9310 / 1879-2189

Type:

Article

Abstract:

Using a model of local non-equilibrium diffusion during rapid solidification of a binary system, the isosolutal shapes of growing crystals in steady-state approximation are obtained. It is found that for crystals growing with constant velocity along a selected coordinate direction, two isosolutal growth shapes can occur. These are: the parabolic platelet in two-dimensional case and the paraboloid of revolution in three-dimensional case. In the isothermal case of diffusionless solidification, when the velocity of solidification is equal to or greater than the solute diffusive speed in the bulk system, these interfaces can have an arbitrary configuration. Special attention is given to mathematical transformations from parabolic (paraboloidal) coordinates to usual Cartesian coordinates for Ivantsov solutions extended to the case of rapid dendritic growth in which the solidification velocity V is comparable with the solute diffusion speed V-D in bulk liquid. (C) 2015 Elsevier Ltd. All rights reserved.

Author keywords:

Solidification; Interface; Crystal; Dendrite; Solute; Non-Fickian diffusion DENDRITIC GROWTH; PATTERN-FORMATION; FORCED FLOW; ALLOYS; MODEL; SOLIDIFICATION; DIFFUSION; MELTS; TIP

DOI:

10.1016/j.ijheatmasstransfer.2

Web of Science ID:

ISI:000359029600100

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	DENDRITIC GROWTH; PATTERN-FORMATION; FORCED FLOW; ALLOYS; MODEL; SOLIDIFICATION; DIFFUSION; MELTS; TIP
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
Funding-Acknowledgement	German Research Foundation (DFG) {[}RE 1261/8-2]; Russian Foundation for Basic Research (RFBR) {[}14-29-10282-ofi-m]; Ministry of Education and Science of the Russian Federation {[}02.A03.21.0006]; Russian Foundation for Basic Research {[}13-01-96013-Ural]
Funding-Text	P. K. G. thanks the Ural Federal University for supporting a collaborative visit to Ekaterinburg. He also acknowledges the support from German Research Foundation (DFG Project RE 1261/8-2). D. A. D. acknowledges the support from Russian Foundation for Basic Research (RFBR Project No. 14-29-10282-ofi-m). D. V. A. acknowledges support from the Ministry of Education and Science of the Russian Federation (project No. 02.A03.21.0006) and from the Russian Foundation for Basic Research (grant 13-01-96013-Ural).
Number-of-Cited-References	31
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	3
Journal-ISO	Int. J. Heat Mass Transf.
Doc-Delivery-Number	CO3AV