Selection criterion of stable dendritic growth at arbitrary Péclet numbers with convection / Alexandrov D.V., Galenko P.K. // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 2013. - V. 87, l. 6.

ISSN:

15393755

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 Pelcé, the analysis is presented for the parabolic dendrite interface with small anisotropy of surface energy growing at arbitrary Péclet 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 ρ as a function of the growth Péclet number, flow Péclet number, and Reynolds number. In limiting cases, the obtained stability criterion presents known criteria for small and high growth Péclet numbers of the solidifying system with and without convective fluid flow. © 2013 American Physical Society.

Author keywords:

Index keywords:

Anisotropy of surface energy; Binary systems; Dendrite growth; Dendritic growth; Forced fluid flow; Limiting case; Selection criteria; Solvability conditions; Flow of fluids; Reynolds number; Stabilit

DOI:

10.1103/PhysRevE.87.062403

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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84879652238&doi=10.1103%2fPhysRevE.87.062403&partnerID=40&md5=a568750939a5f313184d029b59e65710

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Другие поля

Поле	Значение
Art. No.	062403
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84879652238&doi=10.1103%2fPhysRevE.87.062403&partnerID=40&md5=a568750939a5f313184d029b59e65710
Affiliations	Ural Federal University, Department of Mathematical Physics, Ekaterinburg 620000, Russian Federation; Friedrich-Schiller-Universität-Jena, Physikalisch-Astronomische Fakultät, 07743 Jena, Germany
Chemicals/CAS	Dendrimers
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Correspondence Address	Alexandrov, D.V.; Ural Federal University, Department of Mathematical Physics, Ekaterinburg 620000, Russian Federation; email: dmitri.alexandrov@usu.ru
CODEN	PLEEE
PubMed ID	23848693
Language of Original Document	English
Abbreviated Source Title	Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
Source	Scopus