The instability of a vortex tube in a weak external shear and strain
The instability of a vortex tube in a weak external shear and strain
复制标题
弱外剪应变下涡流管的不稳定性
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
D. Fritts
中科院分区：
文献类型：
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作者：
S. Arendt;D. Fritts
研究了具有恒定涡量的直线涡管在与涡管轴线垂直的外部剪切和应变流动作用下的稳定性。我们发现管子在简并波数(即两个开尔文波模具有相同频率的波数)下是不稳定的。最大失稳增长率由剪切震级和应变震级之和来加权。切变的存在也改变了不稳定的波数。
We investigate the stability of a straight vortex tube of constant vorticity in the presence of external shearing and straining flows orthogonal to the axis of the vortex tube. We find that the tube is unstable at degenerate wavenumbers (i.e., wavenumbers at which two Kelvin wavemodes have the same frequency). The maximum growth rate of the instability is weighted by the sum of the shear magnitude and the strain magnitude. The presence of the shear also shifts the wavenumber of the instability.