Three-dimensional stability of vortex arrays
Three-dimensional stability of vortex arrays
复制标题
涡旋阵列的三维稳定性
DOI：
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复制
发表时间：
1982
影响因子：
3.7
通讯作者：
P. Saffman
中科院分区：
文献类型：
--
作者：
A. Robinson;P. Saffman
在小涡截面积和长轴向扰动波长的限制下，研究了不可压缩无粘流体中三种经典稳态涡旋构型对三维扰动的稳定性。所研究的配置是单个无限涡列、交错涡的卡门涡街和对称涡街。结果表明，在较大的街道间距比范围内，单行对于二维扰动最不稳定，而卡门涡街对于三维扰动最不稳定。发现对称涡街对于三维或二维对称扰动最不稳定，具体取决于街道的间距比。对计算与自由剪切层、尾流和边界层类型流中观察到的不稳定性的相关性进行了简短的评论。
The stability to three-dimensional disturbances of three classical steady vortex configurations in an incompressible inviscid fluid is studied in the limit of small vortex cross-sectional area and long axial disturbance wavelength. The configurations examined are the single infinite vortex row, the Karman vortex street of staggered vortices and the symmetric vortex street. It is shown that the single row is most unstable to a two-dimensional disturbance, while the Karman vortex street is most unstable to a three-dimensional disturbance over a significant range of street spacing ratios. The symmetric vortex street is found to be most unstable to three-dimensional or two-dimensional symmetric disturbances depending on the spacing ratio of the street. Short remarks are made concerning the relevance of the calculations to the observed instabilities in free shear layer, wake and boundary-layer type flows.