Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/111157
Title: On the Theory of Directional Solidification in the Presence of a Mushy Zone
Authors: Alexandrov, D. V.
Nizovtseva, I. G.
Alexandrova, I. V.
Ivanov, A. A.
Starodumov, I. O.
Toropova, L. V.
Gusakova, O. V.
Shepelevich, V. G.
Issue Date: 2021
Publisher: Pleiades journals
Pleiades Publishing Ltd
Citation: On the Theory of Directional Solidification in the Presence of a Mushy Zone / D. V. Alexandrov, I. G. Nizovtseva, I. V. Alexandrova et al. // Russian Metallurgy (Metally). — 2021. — Vol. 2021. — Iss. 2. — P. 170-175.
Abstract: Abstract: A model is developed for the directional solidification of a binary melt with a two-phase zone (mushy zone), where the fraction of the liquid phase is described by a space–time scaling relation. Self-similar variables are introduced and the interphase boundary growth is inversely proportional to the square root of time. The mathematical model of the process is reformulated using self-similar variables. Exact self-similar solutions of heat-and-mass transfer equations are determined in the presence of two mobile phase-transition boundaries, namely, solid–mushy zone and mushy zone–liquid ones. The temperature and impurity concentration distributions in the solid phase, the mushy zone, and the melt are found as integral expressions. A decrease in the dimensionless cooled-boundary temperature leads to an increase in the solidification rate and the fraction of the liquid phase. The solidification rate, the parabolic growth constants, and the fraction of the liquid phase at the solid–mushy zone boundary are determined depending on the scaling parameter and the thermophysical constants of the solidifying melt. The positions of the solid–mushy zone and mushy zone–binary melt phase transition boundaries are found. The dependences of the solidification rate (inversely proportional to the square root of time) are analyzed. The scaling parameter significantly is shown to substantially affect the solidification rate and the fraction of the liquid phase in the phase transformation region. The developed model and the method of its solution can be generalized to the case of directional solidification of multicomponent melts in the presence of several phase transformation regions (e.g., main and cotectic two-phase zones during the solidification of three-component melts). © 2021, Pleiades Publishing, Ltd.
Keywords: MUSHY ZONE
PHASE TRANSITIONS
SOLIDIFICATION
LIQUIDS
MASS TRANSFER
RATE CONSTANTS
BOUNDARY TEMPERATURE
HEAT AND MASS TRANSFER
IMPURITY CONCENTRATION
INTERPHASE BOUNDARIES
PARABOLIC GROWTH
SCALING PARAMETER
SELF-SIMILAR SOLUTION
SOLIDIFICATION RATE
SOLIDIFICATION
URI: http://hdl.handle.net/10995/111157
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85101836814
PURE ID: 21024835
ISSN: 0036-0295
metadata.dc.description.sponsorship: This work was supported by the Russian Foundation for Basic Research (project no. 18-58-00034 Bel_a) and the Belarussian Foundation for Basic Research (project no. F18R-195).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

Files in This Item:
File Description SizeFormat 
2-s2.0-85101836814.pdf683,11 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.