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Marangoni instability in binary liquid-liquid systems

机译:二元液-液系统中的Marangoni不稳定性

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摘要

The onset of Marangoni instabilities in binary partially miscible liquid-liquid systems was first explained by Perez de Ortiz and Sawistowski who formulated and solved the linear stability problem for these systems. In the present paper, the same linear stability problem is investigated but the solution is obtained in a way that leads to the presentation of the characteristic equation in a new analytical form, which can be analysed easily. The stability criterion obtained for stationary instability is the same as the one by Perez de Ortiz and Sawistowski but has been found to differ for the onset of oscillatory instabilities. Another important finding of the present work is that stationary and oscillatory instabilities cannot exist simultaneously. The stability criteria developed have been applied to six binary systems and comparisons of the results obtained are made against experimental observations available in the literature.
机译:Perez de Ortiz和Sawistowski首先解释了二元部分可混溶的液-液系统中Marangoni不稳定性的发生,他们提出并解决了这些系统的线性稳定性问题。在本文中,研究了相同的线性稳定性问题,但是以导致新的解析形式表示特征方程的方式获得了解决方案,该解析形式易于分析。对于平稳性不稳定性所获得的稳定性标准与Perez de Ortiz和Sawistowski所采用的稳定性标准相同,但已发现其在振荡不稳定性发生方面有所不同。当前工作的另一个重要发现是平稳和振荡不稳定性不能同时存在。所开发的稳定性标准已应用于六个二元系统,并且将所得结果与文献中的实验观察结果进行了比较。

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