第一相变条件下界面行为的定性分析

A. Guskov
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引用次数: 0

摘要

目前还没有解释一阶相变时界面不稳定性的性质。众所周知的溶液定向结晶下的浓度过冷理论和Mullins-Sekerka不稳定性不能解释固态转变过程中多样化的液体组分再分配。在[1-3]中,在非平衡传质问题的框架内,已经表明存在与已知的[4-6]不同的界面不稳定状态。此外,作品的不稳定性理论[1-3]证明了共晶图案周期与界面速度的依赖关系的完全实验一致性。然而,很难在传质问题的一般设定框架内解释界面不稳定性。本文旨在定性分析导致界面失稳的现象。这些现象由一个方程联系起来。定性分析揭示了多种不同的条件导致平面界面在相变时的静止运动不稳定。不稳定性的类型取决于系统参数。重要的是,准平衡问题设置的渐近情况下的界面不稳定性与非平衡问题设置的界面不稳定性有质的区别。
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Qualititative Analysis of Interface Behavior under First Phase Transition
At present there is no explanation of the nature of interface instability upon first order phase transitions. The well-known theory of concentration overcooling under directed crystallization of solutions and Mullins-Sekerka instability cannot account for the diversified liquid component redistribution during solid state transition. In [1-3], within the framework of the nonequilibrium mass transfer problem, it has been shown that there are regimes of the interface instability, which differ from the known ones [4-6]. Moreover, the instability theory of works [1-3] demonstrates a complete experimental agreement of the dependence of eutectic pattern period on interface velocity. However, it is difficult to explain interface instability within the framework of a general setting of the mass-transfer problem. This paper is de-voted to qualitative analysis of the phenomena that are responsible for interface instability. The phenomena are connected by a single equation. Qualitative analysis revealed a variety of different conditions responsible for instability of flat interface stationary movement upon phase transition. The type of instability depends on system parameters. It is important that interface instability in the asymptotic case of quasi-equilibrium problem setting is qualitatively different from interface instability in the case of nonequilibrium problem setting.
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