Applied Mathematics and Mechanics

, Volume 26, Issue 1, pp 27–34 | Cite as

A critical pattern of crossflow around a slender

  • Li Guo-hui
  • Deng Xue-ying


Topological structure of a slender crossflow was discussed with topological analysis. It is pointed that the development of slender vortices leads to the change of topological structure about cross flow, and a critical flow pattern will appear. There is a high-order singular point in this critical flow pattern. And the index of the high-order singular is −3/2. The topological structure of this singular point is instable, so bifurcation will occur and the topological structure of flowfield will be changed by little disturbance.

Key words

slender high-order singular point bifurcation structure stability 

Chinese Library Classification


2000 Mathematics Subject Classification

34C40 34C05 76B47 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

  • Li Guo-hui
    • 1
  • Deng Xue-ying
    • 1
  1. 1.Institute of Fluid MechanicsBeijing University of Aeronautics and AstronauticsBeijingP.R. China

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