The steady-state solidification scenario of ternary systems: Exact analytical solution of nonlinear model / Alexandrov D. V.,Malygin A. P. // INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - 2012. - V. 55, l. 13-14. - P. 3755-3762.

ISSN/EISSN:

0017-9310 / нет данных

Type:

Article

Abstract:

A mathematical model describing the steady-state solidification of ternary systems with mushy layers (primary and cotectic) is formulated: solidification along a liquidus surface is characterized by a primary mushy layer, and solidification along a cotectic line is characterized by a secondary (cotectic) mushy layer. Exact analytical solutions of the model under consideration are found in a parametric form (thicknesses of mushy layers, growth rate of their boundaries, temperature and composition fields, solid fractions are determined in an explicit form). The velocity of solidification is completely determined by temperature gradients in the solid and liquid phases. This velocity coincides with similar expressions describing binary melt solidification with a planar front or a mushy layer. It is shown that the liquid composition of the main component decreases in the cotectic and primary layers, whereas the second (cotectic) composition increases in the cotectic layer, attains a maximum point and decreases in the primary layer. (C) 2012 Elsevier Ltd. All rights reserved.

Author keywords:

Solidification; Mushy layer; Ternary alloy; Primary layer; Cotectic layer DIFFUSION-CONTROLLED SOLIDIFICATION; TEMPERATURE-DEPENDENT DIFFUSIVITY; SELF-SIMILAR SOLIDIFICATION; EQUILIBRIUM 2-PHASE ZONE; DILUTE BINARY ALLOY; COOLED BOUNDARY; DIRECTIONAL SOLIDIFICATION; MUSHY LAYERS; CONVECTION; DYNAMICS

DOI:

10.1016/j.ijheatmasstransfer.2

Web of Science ID:

ISI:000304785900042

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JUN
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
Keywords-Plus	DIFFUSION-CONTROLLED SOLIDIFICATION; TEMPERATURE-DEPENDENT DIFFUSIVITY; SELF-SIMILAR SOLIDIFICATION; EQUILIBRIUM 2-PHASE ZONE; DILUTE BINARY ALLOY; COOLED BOUNDARY; DIRECTIONAL SOLIDIFICATION; MUSHY LAYERS; CONVECTION; DYNAMICS
Research-Areas	Thermodynamics; Engineering; Mechanics
Web-of-Science-Categories	Thermodynamics; Engineering, Mechanical; Mechanics
Author-Email	Dmitri.Alexandrov@usu.ru Alexey.Malygin@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Federal Target Program ``Scientific and Academic - Teaching Staff of Innovative Russia{''}; Russian Foundation for Basic Research {[}11-01-00137, 10-01-96045]
Funding-Text	We are grateful for partial support from the Federal Target Program ``Scientific and Academic - Teaching Staff of Innovative Russia{''} in 2009 - 2013 and the Russian Foundation for Basic Research (Nos. 11-01-00137 and 10-01-96045).
Number-of-Cited-References	35
Usage-Count-Since-2013	5
Journal-ISO	Int. J. Heat Mass Transf.
Doc-Delivery-Number	952IJ