A Note on the Linear Stability of a Two-dimensional Stokes Layer
A Note on the Linear Stability of a Two-dimensional Stokes Layer
复制标题
关于二维斯托克斯层线性稳定性的注解
DOI：
10.1093/qjmam/hbm014
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发表时间：
2007
影响因子：
0.9
通讯作者：
A. Bassom
中科院分区：
文献类型：
--
作者：
P. Blennerhassett;A. Bassom
在其自身平面内进行轨道运动的无限平板附近产生的流体运动是经典斯托克斯层轮廓的推广。我们表明，这些流的稳定性可以通过两个直接类似于众所周知的 Squire 变换的变换相互关联。获得的主要结果是，一般来说，二维斯托克斯层比相应的单向斯托克斯层更稳定。分析的另一个副产品是构建具有相同中性稳定性的剪切流
受到二维或三维干扰时的条件。
The fluid motion generated adjacent to an infinite flat plate undergoing orbital motion in its own plane is a generalization of the classical Stokes-layer profile. We show that the stabilities of these flows can be related to each other via two transformations directly analogous to the well-known Squire transformation. The main result obtained is that, in general, the two-dimensional Stokes layer is more stable than the corresponding unidirectional Stokes layer. A further by-product of the analysis is the construction of a shear flow having identical neutral stability
conditions when subject to either two- or three-dimensional disturbances.