A grand potential approach to phase-field modeling of rapid solidification

被引：22

作者：

Danilov, Denis A. ^{[1
]}

Lebedev, Vladimir G. ^{[2
]}

Galenko, Peter K. ^{[3
]}

机构：

[1] Karlsruhe Inst Technol, Inst Nanotechnol, D-76344 Eggenstein Leopoldshafen, Germany

[2] Udmurt State Univ, Dept Theoret Phys, Izhevsk 426034, Russia

[3] Univ Jena, Phys Astron Fak, D-07743 Jena, Germany

来源：

JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS | 2014年 / 39卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Solidification; solute trapping; undercooled liquid phase; rapid solidification; DIFFUSE INTERFACE MODEL; SPINODAL DECOMPOSITION; DENDRITIC GROWTH; SHARP-INTERFACE; BINARY ALLOY; RELAXATION; EVOLUTION; SYSTEM;

D O I：

10.1515/jnetdy-2013-0032

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Rapid solidification occurs under large driving force of transformation from the metastable under-cooled liquid phase to the stable crystalline state. Using a formalism of extended irreversible thermodynamics, a phase-field model of rapid solidification in binary systems is derived. An entropy approach together with a grand potential density of a binary system is used to obtain the main governing equations of the model. Special attention is paid to equations of a rapidly solidifying binary system which are accompanied by essential deviations from local equilibrium in the transport of the conservative variables (such as inner energy and mass) and in the dynamics of non-conservative variables (such as phase field). The obtained equations are analyzed and compared with recent models and outcomes based on the grand potential approach to solidification.

引用

页码：93 / 111

页数：19

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