Oscillatory modes in the flow between two horizontal corotating cylinders with a partially filled gap.
Oscillatory modes in the flow between two horizontal corotating cylinders with a partially filled gap.
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具有部分填充间隙的两个水平同向旋转圆柱体之间流动的振荡模式。
DOI：
10.1103/physreva.39.763
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
Wesfreid
中科院分区：
文献类型：
--
作者：
Mutabazi;Normand;Peerhossaini;Wesfreid
研究了带部分填充间隙的两同轴旋转水平圆柱间粘性流动的线性稳定性。结果表明，在一定的旋转比p值范围内，稳态模态的稳定性图由两条由振荡分支连接的独立曲线组成。0.26(0代替。临界点在振荡支路上。因此，可以预期，在开始时，不稳定性将以振荡模式出现。在旋转比p=0的两个特殊值下，我们建立了余维-2点的存在性。26和0.61，其中平稳模式和振荡模式的不稳定性发生在泰勒数相同的值。
The linear stability of viscous flow between two rotating coaxial horizontal cylinders with a partially filled gap is investigated. It is shown that, for a range of values of the rotation ratio p, the stability diagram for stationary modes consists of two separate curves connected by an oscillatory branch. For 0.26&p(0. 61 the critical point is on the oscillatory branch. Therefore it can be expected that, at onset, the instability will set in as an oscillatory mode. We have established the existence of codimension-2 points for two particular values of the rotation ratio p=0. 26 and 0.61, where the onset of instability for stationary as well as oscillatory modes occurs for the same value of the Taylor number.