Advertisement

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
Article
  • 17 Downloads

Abstract

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

V211.1 

2000 Mathematics Subject Classification

34C40 34C05 76B47 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Allen H J, Perkins E W. Characteristcs of flow over inclined bodies of revolution [R]. NACA RMA, 50L07, 1951.Google Scholar
  2. [2]
    Nielsen J N. Nonlinearities in missile aerodynamics [R]. AIAA Paper, 78-20, 1978.Google Scholar
  3. [3]
    Ericsson L E. Karman vortex shedding and the effect of body motion [J].AIAA J, 1980,18(8):935–944.CrossRefGoogle Scholar
  4. [4]
    Keener E R, Chapman G T. Similarity in vortex asymmetric over slender bodies and wings [J].AIAA J, 1977,15(9):1370–1372.Google Scholar
  5. [5]
    Lowson M V, Ponton A J. Symmetry breaking in vortex flows on conical bodies [J].AIAA J, 1992,30(6):1576–1583.Google Scholar
  6. [6]
    Lu Qishao.The Qualitative Method of Differential Equation and Bifurcation [M]. Beijing University of Aeronautics and Astronautics Press, Beijing, 1989. (in Chinese)Google Scholar
  7. [7]
    Zhang Zhifen, Ding Tongren, Huang Wenzhao,et al..The Qualitative Theory of Differential Equation [M]. Science Press, Beijing, 1985, 156–163. (in Chinese)Google Scholar
  8. [8]
    Hunt J C R, Abell C J, Peterka J A,et al.. Kinematical studies of the flows around free or surface-mounted obstacles; applying topology to flow visualization [J].Journal of Fluid Mechanics, 1978,86(1):179–200.CrossRefGoogle Scholar

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

Personalised recommendations