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Global instabilities of lamellar eutectic growth in directional solidification

机译:定向凝固中层状共晶生长的整体不稳定性

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The present paper is concerned with the global instability mechanisms for the basic steady state of lamellar eutectic growth with curved and tilted interface affected by the triple point. We solve the related linear eigenvalue problem (EVP) by using the analytical approach for the case that the Peclet number is small and the segregation coefficient parameter k is close to the unit. It is found that the system involves two types of global instability mechanisms: the 'exchange of stability' invoked by the non-oscillatory, unstable modes and the global wave instabilities invoked by four types of oscillatory unstable modes, namely (AA)-, (SS)-, (AS)- and (SA)-mode. The quantization conditions for these modes are derived, the neutral curves for these global instabilities on the parameters plane are calculated. The stability criterion yields the range of the interlamellar spacing and explains the interfacial pattern transitions observed in the experiments.
机译:本文关注具有三点影响的弯曲和倾斜界面的层状共晶生长的基本稳态的整体失稳机制。我们通过分析方法解决了相关的线性特征值问题(EVP),该情况是Peclet数较小且偏析系数参数k接近单位的情况。发现该系统涉及两种类型的全局不稳定机制:由非振荡不稳定模式调用的“稳定性交换”和由四种振荡不稳定模式调用的全局波动不稳定性,即(AA)-,( SS)-,(AS)-和(SA)模式。推导了这些模式的量化条件,并计算了参数平面上这些全局不稳定性的中性曲线。稳定性标准得出层间间距的范围,并解释了在实验中观察到的界面模式转变。

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