Anomalous translational velocity of vortex ring with finite-amplitude Kelvin waves.
Anomalous translational velocity of vortex ring with finite-amplitude Kelvin waves.
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DOI：
10.1103/physreve.74.046303
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发表时间：
2006-04
期刊：
影响因子：
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通讯作者：
C. Barenghi;Risto Hänninen;M. Tsubota
中科院分区：
文献类型：
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作者：
C. Barenghi;Risto Hänninen;M. Tsubota
我们考虑无粘涡上的有限振幅开尔文波，假设涡核具有无穷小的厚度。通过数值求解控制Biot-Savart运动方程，我们研究了开尔文波的频率和摄动环的速度如何依赖于开尔文波的振幅。特别是，我们表明，如果开尔文波的振幅足够大，受扰动的旋涡环向后移动。
We consider finite-amplitude Kelvin waves on an inviscid vortex assuming that the vortex core has infinitesimal thickness. By numerically solving the governing Biot-Savart equation of motion, we study how the frequency of the Kelvin waves and the velocity of the perturbed ring depend on the Kelvin wave amplitude. In particular, we show that, if the amplitude of the Kelvin waves is sufficiently large, the perturbed vortex ring moves backwards.