IWNET12
IWNET12
Dual-phase-lag model for rapid solidication of undercooled melts
S.I. Serdyukov1
1 Chemistry Department, Moscow State University, 119992 Moscow, Russia
Abstract
It is well known that wide rang of novel material properties can be obtained by rapid solidication of under-
cooled melts [1]. The evolution of solidication (nucleation and precipitation) is governed by the conditions
of crystal growth. Rapid solidication leads to a signicant deviation from local equilibrium within a diuse
interface and the classical transport equations of parabolic type is no longer valid. In this case a solute diu-
sion process in the interface and within bulk phases can be described by Maxwell-Cattaneo type constitutive
equation. Thermodynamically consistent models of such processes are based on the formalism of extended
irreversible thermodynamics [2-4]. In this report we consider more general model of rapid solidication based
on the dual-phase-lag constitutive equation. Using dual-phase-lag diusion equation, we generalize model for
rapid solidication of undercooled melts. We show that within the framework of the proposed thermodynamic
formalism the dual-phase-lag equation can be obtained [5-7].
References
[1] D.M. Herlach, P.K. Galenko, D. Holland-Moritz, Metastable solids from undercooled melts, Amsterdam:
Elsevier, 2006.
[2] D. Jou, J. Casas-Vázquez, G. Lebon, Extended Irreversible Thermodynamics, 2nd ed., Springer, Berlin,
1996.
[3] I. Müller, T. Ruggeri, Extended Thermodynamics, Springer, New York, 1993.
[4] L.S. Garsía-Colín, F.J. Uribe, J. Non-Equilib. Thermodyn., 16 (1991) 89-128.
[5] S.I. Serdyukov, Phys. Lett., A 281 (2001) 16-20.
[6] S.I. Serdyukov, N.M. Voskresenskii, V.K. Bel'nov, I.I. Karpov, J. Non-Equilib. Thermodyn., 28 (2003)
207-219.
[7] S.I. Serdyukov, Physica A (2012), doi: 10.1016/j.physa.2012.06.045.
E-mail: serdkv@tech.chem.msu.ru

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