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以线性近似方法研究了不可压流中任意形状旋涡局部稳定问题,考虑了流线曲率及螺线流动对旋涡稳定性的影响.得出了各类型二维旋涡局部稳定准则,这些准则直观简练,在工程研究中应用方便.研究表明,旋涡稳定存在上、下二种界限,前人的研究尽属下限稳定范围.当上限稳定条件不满足时,在尾涡内部会出现低压气穴并引起旋涡局部脱落或散裂.应用上限稳定准则可以方便地解释Taylor涡及Karman涡街现象产生的机理.
In this paper, the local approximation of vortex with arbitrary shape in incompressible flow is studied by the linear approximation method, the influence of flow curvature and spiral flow on the stability of the vortex is considered, and the local stability criterion of various types of two- It is convenient to use in the engineering research.The research shows that there are two kinds of upper and lower limits of the vortex stability and the predecessors’ studies belong to the lower stable range.When the upper stability condition is not satisfied, low pressure cavitation will appear inside the tail vortex and cause vortex Local shedding or spallation.The application of the upper stability criterion can explain the mechanism of the Taylor vortex and the Karman vortex phenomenon conveniently.