Journal
TECHNICAL PHYSICS
Volume 58, Issue 3, Pages 309-315Publisher
PLEIADES PUBLISHING INC
DOI: 10.1134/S106378421303002X
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Funding
- Russian Foundation for Basic Research [11-01-00137, 10-01-96045-Ural]
- Federal Target Program Scientific and Academic-Teaching Staff of Innovative Russia
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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.
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