Selection of stable growth conditions for the parabolic dendrite tip in crystallization of multicomponent melts |
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Authors: | D V Alexandrov D A Pinigin |
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Institution: | 1150. Ural Federal University named after the first President of Russia B.N. El’tsyn, pr. Lenina 51, Yekaterinburg, 620083, Russia
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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. |
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