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Long-Wave Instability of a Plane Multicomponent Mixture Layer with the Soret Effect

机译:具有Soret效应的平面多组分混合层的长波不稳定性

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摘要

Long-wave instability that arises in a plane multicomponent mixture layer with the Soret effect is investigated. The layer is heated from above or below in the gravity field. The solution of the linearized equations of motion is sought in the form of a series in powers of the wave number assumed to be small. For the mixture with an arbitrary number of components the critical parameters of instability are determined. For binary and ternary mixtures the stability maps are plotted. The regions where the long- and short wave perturbations are the most dangerous are distinguished in the space of physical parameters. The analytical results are compared with the numerical solution of the linearized equations over a wide wave number range. As an example, instability in a ternary hydrocarbon mixture is considered.
机译:研究了具有Soret效应的平面多组分混合物层中产生的长波不稳定性。该层在重力场中从上方或下方加热。以假定波数小的幂的级数级数的形式寻找运动的线性化方程的解。对于具有任意数量组分的混合物,确定不稳定性的关键参数。对于二元和三元混合物,绘制了稳定性图。长波和短波扰动最危险的区域在物理参数空间上有所区别。在宽波数范围内,将分析结果与线性化方程的数值解进行了比较。例如,考虑三元烃混合物中的不稳定性。

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