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Concerning the theory of the incipience of the two-phase mushy zone in solidification of binary melts. / Aleksandrov, D. V. .
In: Heat Transfer Research, Vol. 34, No. 3-4, 2003, p. 226-233.

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@article{aac92dfe18264e1ab16d2d1299b19f09,
title = "Concerning the theory of the incipience of the two-phase mushy zone in solidification of binary melts",
abstract = "The well-known problem of incipience of a mushy zone for binary melt solidification processes is solved with the aid of the Laplace transform in a laboratory coordinate system. The integral relations for the rate of solidification and the time of incipience of the mushy zone are derived when crystallization proceeds near a cooling wall. The last assumption is confirmed by numerical calculations and by the relations obtained. In other words, a mush appears ahead of the solidification front at the initial stage of crystallization (when the front moves toward the binary melt near the cooling wall). Thus, the time when the classical description of crystallization by means of the Stefan thermodiffusion model becomes incorrect and when the mushy region appears due to the concentrational (constitutional) supercooling is found. {\textcopyright}2003 Begell House, Inc.",
author = "Aleksandrov, {D. V.}",
year = "2003",
language = "English",
volume = "34",
pages = "226--233",
journal = "Heat Transfer Research",
issn = "1064-2285",
publisher = "Begell House",
number = "3-4",

}

RIS

TY - JOUR

T1 - Concerning the theory of the incipience of the two-phase mushy zone in solidification of binary melts

AU - Aleksandrov, D. V.

PY - 2003

Y1 - 2003

N2 - The well-known problem of incipience of a mushy zone for binary melt solidification processes is solved with the aid of the Laplace transform in a laboratory coordinate system. The integral relations for the rate of solidification and the time of incipience of the mushy zone are derived when crystallization proceeds near a cooling wall. The last assumption is confirmed by numerical calculations and by the relations obtained. In other words, a mush appears ahead of the solidification front at the initial stage of crystallization (when the front moves toward the binary melt near the cooling wall). Thus, the time when the classical description of crystallization by means of the Stefan thermodiffusion model becomes incorrect and when the mushy region appears due to the concentrational (constitutional) supercooling is found. ©2003 Begell House, Inc.

AB - The well-known problem of incipience of a mushy zone for binary melt solidification processes is solved with the aid of the Laplace transform in a laboratory coordinate system. The integral relations for the rate of solidification and the time of incipience of the mushy zone are derived when crystallization proceeds near a cooling wall. The last assumption is confirmed by numerical calculations and by the relations obtained. In other words, a mush appears ahead of the solidification front at the initial stage of crystallization (when the front moves toward the binary melt near the cooling wall). Thus, the time when the classical description of crystallization by means of the Stefan thermodiffusion model becomes incorrect and when the mushy region appears due to the concentrational (constitutional) supercooling is found. ©2003 Begell House, Inc.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=33751275409

M3 - Article

VL - 34

SP - 226

EP - 233

JO - Heat Transfer Research

JF - Heat Transfer Research

SN - 1064-2285

IS - 3-4

ER -

ID: 44361080