Selection criterion of stable dendritic growth at arbitrary Peclet numbers with convection / Alexandrov Dmitri V.,Galenko Peter K. // PHYSICAL REVIEW E. - 2013. - V. 87, l. 6.

ISSN/EISSN:

1539-3755 / нет данных

Type:

Article

Abstract:

A free dendrite growth under forced fluid flow is analyzed for solidification of a nonisothermal binary system. Using an approach to dendrite growth developed by Bouissou and Pelce {[}Phys. Rev. A 40, 6673 (1989)], the analysis is presented for the parabolic dendrite interface with small anisotropy of surface energy growing at arbitrary Peclet numbers. The stable growth mode is obtained from the solvability condition giving the stability criterion for the dendrite tip velocity V and dendrite tip radius. as a function of the growth Peclet number, flow Peclet number, and Reynolds number. In limiting cases, the obtained stability criterion presents known criteria for small and high growth Peclet numbers of the solidifying system with and without convective fluid flow.

Author keywords:

FORCED FLOW; CRYSTAL-GROWTH; MODEL

DOI:

10.1103/PhysRevE.87.062403

Web of Science ID:

ISI:000320129300003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUN 7
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	062403
Keywords-Plus	FORCED FLOW; CRYSTAL-GROWTH; MODEL
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	dmitri.alexandrov@usu.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 {[}14.A18.21.0858]; Russian Foundation for Basic Research {[}11-01-00137, 13-01-96013-Ural]
Funding-Text	We are grateful to Dmitri Temkin for numerous useful discussions on dendrite growth at arbitrary Peclet numbers. Partial support from the Ministry of Education and Science of the Russian Federation within the framework of the Federal Target Program ``Scientific and Academic-Teaching Staff of Innovative Russia{''} in 2009-2013 (Contract No. 14.A18.21.0858) and from the Russian Foundation for Basic Research (Projects No. 11-01-00137 and No. 13-01-96013-Ural) is acknowledged.
Number-of-Cited-References	24
Usage-Count-Since-2013	7
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	160OP