Mathematical modelling of nucleation and growth of crystals with buoyancy effects / Alexandrov D. V. // PHILOSOPHICAL MAGAZINE LETTERS. - 2016. - V. 96, l. 4. - P. 132-141.

ISSN/EISSN:

0950-0839 / 1362-3036

Type:

Article

Abstract:

A complete analytical solution of the integro-differential model describing the nucleation of crystals and their subsequent growth in a binary system with allowance for buoyancy forces is constructed. An exact analytical solution of the Fokker-Planck-type equation for the three-parameter density distribution function is found for arbitrary nucleation kinetics. Two important cases of the Weber-Volmer-Frenkel-Zel'dovich and Meirs kinetics are considered in some detail. It is shown that the solute concentration decreases and the distribution function increases with increasing the melt supercooling (with increasing the depth of a metastable system). It is demonstrated that the distribution function attains its minimum at a certain size of crystals owing to buoyancy forces.

Author keywords:

Nucleation; crystal growth; buoyancy INTERMEDIATE STAGE; CRYSTALLIZATION; SOLIDIFICATION; KINETICS; CONVECTION; EVOLUTION; MELT

DOI:

10.1080/09500839.2016.1177222

Web of Science ID:

ISI:000379758900002

Соавторы в МНС:

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Другие поля

Поле	Значение
Publisher	TAYLOR \& FRANCIS LTD
Address	2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND
Language	English
EISSN	1362-3036
Keywords-Plus	INTERMEDIATE STAGE; CRYSTALLIZATION; SOLIDIFICATION; KINETICS; CONVECTION; EVOLUTION; MELT
Research-Areas	Materials Science; Metallurgy \& Metallurgical Engineering; Physics
Web-of-Science-Categories	Materials Science, Multidisciplinary; Metallurgy \& Metallurgical Engineering; Physics, Applied; Physics, Condensed Matter
Author-Email	dmitri.alexandrov@urfu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10095]
Funding-Text	This work was supported by the Russian Science Foundation {[}grant number 16-11-10095].
Number-of-Cited-References	30
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	4
Journal-ISO	Philos. Mag. Lett.
Doc-Delivery-Number	DR2UH