Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect
Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect
复制标题
长波耦合 Marangoni - 存在 Soret 效应的二元液体层中的瑞利不稳定性
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
A. Oron
中科院分区：
文献类型：
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作者：
A. Podolny;A. Nepomnyashchy;A. Oron
我们已经探索了在存在索雷效应的情况下从下方或从上方加热的二元液体层的静态的组合长波马兰戈尼和瑞利不稳定性。我们发现，在小毕奥数的情况下，有两个感兴趣的长波区域 k » Bi 1=2 和 k » Bi 1=4 。已经研究了这些区域中单调和振荡不稳定阈值对索雷特数和动态邦德数的依赖性。完整的线性稳定性分析揭示了长波区域不稳定类型的多样性，并且对所发现现象的非线性理论的发展的需求变得显而易见。
We have explored the combined long-wave Marangoni and Rayleigh instability of the quiescent state of a binary- liquid layer heated from below or from above in the presence of the Soret efiect. We found that in the case of small Biot numbers there are two long- wave regions of interest k » Bi 1=2 and k » Bi 1=4 . The dependence of both monotonic and oscillatory thresholds of instability in these regions on both the Soret and dynamic Bond numbers has been investigated. The complete linear stability analysis reveals the diversity of instability types in the long-wave region, and a need in the development of the nonlinear theory of the discovered phenomena becomes obvious.