%0 Journal Article
%A Danilov, D. A.
%A Galenko, P. K.
%D 2003
%I Begell House
%N 1&2
%P 13
%R 10.1615/HeatTransRes.v34.i1-2.70
%T Hyperbolic Problem of Heat Transfer in Rapid Solidification of Supercooled Liquids
%U http://dl.begellhouse.com/journals/46784ef93dddff27,101fbc995f1d58aa,5e6fb5031ebc9f65.html
%V 34
%X 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.
%8 2003-04-01