Instability due to viscosity stratification
Instability due to viscosity stratification
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DOI：
10.1017/s0022112067000357
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发表时间：
1967-02
影响因子：
3.7
通讯作者：
C. Yih
中科院分区：
文献类型：
--
作者：
C. Yih
本文的主要目的是说明流体粘度的变化会引起不稳定性。本文研究了两个水平平板之间不同粘度流体的两个叠层的平面Couette-Poietille流动，发现无论雷诺数多小，平面Poietille流动和平面Couette流动都可能是不稳定的。不稳定的模式是在附近的一个隐藏的中性模式的情况下，一个单一的流体，这是完全忽略了在通常的流体动力学稳定性理论，并带来了粘度分层。
The principal aim of this paper is to show that the variation of viscosity in a fluid can cause instability. Plane Couette-Poiseuille flow of two superposed layers of fluids of different viscosities between two horizontal plates is considered, and it is found that both plane Poiseuille flow and plane Couette flow can be unstable, however small the Reynolds number is. The unstable modes are in the neighbourhood of a hidden neutral mode for the case of a single fluid, which is entirely ignored in the usual theory of hydrodynamic stability, and are brought out by the viscosity stratification.