On the stability of the Jeffery–Hamel flow
On the stability of the Jeffery–Hamel flow
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DOI：
10.1063/1.869390
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发表时间：
1997-09
影响因子：
4.6
通讯作者：
F. Uribe;E. Díaz‐Herrera;A. Bravo;R. Peralta‐Fabi
中科院分区：
文献类型：
--
作者：
F. Uribe;E. Díaz‐Herrera;A. Bravo;R. Peralta‐Fabi
Jeffery-Hamel流动是通过使用力学类比进行分析的。的解决方案是由有限元方法，为相应的最小作用原理，是有效的任何宽度的通道。然后，Galerkin方法被用来研究的线性和时间稳定性的一些流动的小宽度的渠道。一个参数给出表明，纯流入应该是不稳定的通道的宽度小，这是由我们的数值计算证实的结果。我们发现，流动IOI和IO是不稳定的雷诺数接近零。对于某些非对称流动和某些宽度的稳定窗口也被发现。
The Jeffery–Hamel flow is analyzed by making use of a mechanical analogy. The solutions are generated by a finite element method, for the corresponding least action principle and are valid for any width of the channel. Then, the Galerkin method is used to study the linear and temporal stability of some flows for small widths of the channel. An argument is given to show that pure inflow should be unstable for small widths of the channel, a result which is corroborated by our numerical calculations. We find that the flows IOI and IO are unstable for Reynolds numbers near zero. A stability window for some asymmetric flows and certain widths is also found.