Solidification of a ternary melt from a cooled boundary, or nonlinear dynamics of mushy layers / Alexandrov D. V.,Ivanov A. A. // INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - 2009. - V. 52, l. 21-22. - P. 4807-4811.

ISSN/EISSN:
0017-9310 / нет данных
Type:
Article
Abstract:
We present a mathematical model and its analytical solution describing directional solidification of a ternary (three-component) system cooled from below. We focus on the solidification theory in the presence of two distinct mushy layers: (1) solidification along a liquidus surface is characterized by a primary mushy layer, and (2) solidification along a cotectic line is characterized by a secondary (cotectic) mushy layer. We consider the case when the phase transition temperatures in two mushy layers represent arbitrary functions of the compositions. We obtain an exact analytical solution of the nonlinear set of equations and boundary conditions in the case of a self-similar solidification scenario. Model predictions are in good agreement with existing experimental data. (C) 2009 Elsevier Ltd. All rights reserved.
Author keywords:
Solidification; Mushy layer; Ternary alloy DIFFUSION-CONTROLLED SOLIDIFICATION; MODEL; ALLOY
DOI:
10.1016/j.ijheatmasstransfer.2
Web of Science ID:
ISI:000270164200016
Соавторы в МНС:
Другие поля
Поле Значение
Month OCT
Publisher PERGAMON-ELSEVIER SCIENCE LTD
Address THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language English
Keywords-Plus DIFFUSION-CONTROLLED SOLIDIFICATION; MODEL; ALLOY
Research-Areas Thermodynamics; Engineering; Mechanics
Web-of-Science-Categories Thermodynamics; Engineering, Mechanical; Mechanics
Author-Email Dmitri.Alexandrov@usu.ru
ResearcherID-Numbers Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers Alexandrov, Dmitri/0000-0002-6628-745X Ivanov, Alexandr/0000-0002-2490-160X
Funding-Acknowledgement Russian Foundation for Basic Research {[}08-01-00298, 09-08-00844, 07-03-96069 Ural, 07-0133596091 Ural]; Ministry of Education {[}2.1.1/336 2571]; Federal Target Program {[}02.740.11.0202]
Funding-Text This work was made possible due to the financial support of Grant Nos. 08-01-00298, 09-08-00844, 07-03-96069 Ural, 07-0133596091 Ural (Russian Foundation for Basic Research), 2.1.1/336 2571 (Ministry of Education) and 02.740.11.0202 (Federal Target Program).
Number-of-Cited-References 18
Usage-Count-Since-2013 2
Journal-ISO Int. J. Heat Mass Transf.
Doc-Delivery-Number 498SS