Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
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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