Selection of stable growth conditions for the parabolic dendrite tip in crystallization of multicomponent melts / Alexandrov D.V., Pinigin D.A. // Technical Physics. - 2013. - V. 58, l. 3. - P. 309-315.

ISSN:
10637842
Type:
Article
Abstract:
Free growth of a dendrite crystal in a stationary multicomponent melt is investigated. A mathematical model of the process is developed and its analytic solution is constructed. A stability criterion is obtained for a 2D parabolic dendrite and the refined relation is derived for the growth rate of the dendrite tip taking into account the anisotropy of surface tension at the solid phase-melt interface. It is shown that the accumulation of impurity in the front of a dendrite makes it tip thinner and reduces its velocity. The theory contains limiting transitions to the familiar dendrite growth criteria for one-component and binary systems. © 2013 Pleiades Publishing, Ltd.
Author keywords:
Index keywords:
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DOI:
10.1134/S106378421303002X
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Affiliations Ural Federal University named after the first President of Russia B.N. El'tsyn, pr. Lenina 51, Yekaterinburg, 620083, Russian Federation
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Correspondence Address Alexandrov, D. V.; Ural Federal University named after the first President of Russia B.N. El'tsyn, pr. Lenina 51, Yekaterinburg, 620083, Russian Federation; email: Dmitri.Alexandrov@usu.ru
Language of Original Document English
Abbreviated Source Title Tech. Phys.
Source Scopus