Thermo-solutal and kinetic regimes of an anisotropic dendrite growing under forced convective flow / Alexandrov Dmitri V.,Galenko Peter K. // PHYSICAL CHEMISTRY CHEMICAL PHYSICS. - 2015. - V. 17, l. 29. - P. 19149-19161.

ISSN/EISSN:

1463-9076 / 1463-9084

Type:

Article

Abstract:

A thermo-diffusional problem of a free dendrite growing in a binary mixture is considered analytically. Effects of the anisotropy and convective flow on the stable mode of the dendrite with four-fold crystal symmetry are studied. Special analysis is given for the parabolic dendrite growing at arbitrary Peclet numbers and with small anisotropy of surface energy and atomic kinetics. The stable growth mode is analyzed through the solvability condition giving the stability criterion for the dendrite tip velocity V and dendrite tip diameter rho as a function of growth Peclet number, P-g, flow Peclet number, P-f, and Reynolds number, Re. Using the obtained criterion of stability, a complete sequence of transitions in growth regimes (namely, from solute diffusion-limited to thermally controlled and further to kinetically-limited regimes) of the anisotropic dendrite is derived and revealed. Limiting cases to known criteria for small and high growth Peclet numbers of the solidifying system with and without convective fluid flow are found. Two-dimensional solidification regimes and scalings obtained are discussed for their extension to three-dimensional dendritic growth.

Author keywords:

ARBITRARY PECLET NUMBER; PATTERN SELECTION; UNDERCOOLED MELTS; ASSISTED GROWTH; NEEDLE-CRYSTAL; PHASE-FIELD; NANOSTRUCTURES; SOLIDIFICATION; SOLVABILITY; SILVER

DOI:

10.1039/c5cp03018h

Web of Science ID:

ISI:000358207400030

Соавторы в МНС:

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Другие поля

Поле	Значение
Publisher	ROYAL SOC CHEMISTRY
Address	THOMAS GRAHAM HOUSE, SCIENCE PARK, MILTON RD, CAMBRIDGE CB4 0WF, CAMBS, ENGLAND
Language	English
EISSN	1463-9084
Keywords-Plus	ARBITRARY PECLET NUMBER; PATTERN SELECTION; UNDERCOOLED MELTS; ASSISTED GROWTH; NEEDLE-CRYSTAL; PHASE-FIELD; NANOSTRUCTURES; SOLIDIFICATION; SOLVABILITY; SILVER
Research-Areas	Chemistry; Physics
Web-of-Science-Categories	Chemistry, Physical; Physics, Atomic, Molecular \& Chemical
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	Ministry of Education and Science of the Russian Federation {[}315, 02.A03.21.0006]; Russian Foundation for Basic Research {[}13-01-96013-Ural]; German Research Foundation (DFG) {[}RE 1261/8-2]; Russian Foundation for Basic Research (RFBR) {[}14-29-10282ofi-m]
Funding-Text	Authors are grateful to Efim Brener for valuable and useful discussions. D. V. A. acknowledges support from the Ministry of Education and Science of the Russian Federation (project no. 315 and 02.A03.21.0006) and from the Russian Foundation for Basic Research (grant 13-01-96013-Ural). 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) and Russian Foundation for Basic Research (RFBR Project No. 14-29-10282ofi-m).
Number-of-Cited-References	66
Usage-Count-Since-2013	12
Journal-ISO	Phys. Chem. Chem. Phys.
Doc-Delivery-Number	CN1VD