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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v34.i1-2.70
13 pages

Hyperbolic Problem of Heat Transfer in Rapid Solidification of Supercooled Liquids

D. A. Danilov
Laboratory of the Physics of Condensed Media, Physical Faculty, Udmurt State University, Izhevsk, Russia
P. K. Galenko
Laboratory of the Physics of Condensed Media, Physical Faculty, Udmurt State University, Izhevsk, Russia

ABSTRACT

A model of rapid solidification in supercooled pure metallic liquid is developed; the model includes local nonequilibrium heat transfer and the kinetics of liquid–solid interface motion. Taking into account the finiteness of speed V of heat transport, we obtained a general solution of the problem of local nonequilibrium heat transfer with the moving heat source at the plane solidification front. We analyzed the solution both in steady- and unsteady-state regimes of solidification. On the basis of joint solution of heat and kinetic equations we found the self-consistent regimes of rapid solidification front motion.