On the theory of phase transformation process in a binary supercooled melt
Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University Lenin ave., 51, Ekaterinburg 620000, Russia
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Published online: 11 February 2020
The processes of bulk crystallization of a supercooled binary melt where the nucleation and growth of solid particles occur are considered with allowance for different mechanisms of nucleation kinetics. A nonlinear set of integro-differential equations is analytically solved by means of the saddle-point technique. The crystal-radius distribution function, temperature, solute concentration, and supercooling of a binary liquid are found taking into account the nonlinear growth rates of spherical crystals. The supercooling represents a decreasing function of time while the distribution function increases up to a maximum size of crystals in a metastable melt.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020