定向凝固中的瞬态对流不稳定性
Transient convective instabilities in directional solidification
摘要：
我们研究了在垂直配置的定向凝固实验中的初始瞬态熔体的对流不稳定性。我们得到解析的色散关系，并执行一个额外的渐近展开大瑞利数，允许一个更简单的分析和更好的数值行为。我们发现了一个瞬态不稳定，即制度中，系统不稳定的瞬态过程中，而最终未扰动的稳定状态是稳定的。这可能与凝固中的生长模式预测有关。
英文摘要：
We study the convective instability of the melt during the initial transient in a directional solidification experiment in a vertical configuration. We obtain analytically the dispersion relation, and perform an additional asymptotic expansion for large Rayleigh number that permits a simpler analytical analysis and a better numerical behavior. We find a transient instability, i.e. a regime in which the system destabilizes during the transient whereas the final unperturbed steady state is stable. This could be relevant to growth mode predictions in solidification.
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