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1·The result showed that the stream function of vortex tube was expressed as the superposition of the stream functions of vortex filament within the vortex core.

结果显示：涡管流函数是时间的周期函数，并被表征为一系列在涡核内均匀分布螺旋涡丝流函数的叠加。

2·The present invention can improve applied force strength of vortex filament body tongue on moving disk and static disk, and can increase of service life availably.

本发明能增强动、静盘涡旋线体舌的受力强度，可有效的延长使用寿命。

3·The thin vortex filament deforms three-dimensionally in the braid and generates stream-wise vortex structures which incline to the region maximum deformation direction of the flow field.

细涡丝在涡辫区的三维演化形成趋向流场最大拉伸变形方向的流向涡结构。

4·It is proved that the motion of the filament - like vortex is governed by a law of curvature flow in 3 dimensions.

证明了在3维情形，线状涡漩的运动服从一个曲率流方程。