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.
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References
Allen H J, Perkins E W. Characteristcs of flow over inclined bodies of revolution [R]. NACA RMA, 50L07, 1951.
Nielsen J N. Nonlinearities in missile aerodynamics [R]. AIAA Paper, 78-20, 1978.
Ericsson L E. Karman vortex shedding and the effect of body motion [J].AIAA J, 1980,18(8):935–944.
Keener E R, Chapman G T. Similarity in vortex asymmetric over slender bodies and wings [J].AIAA J, 1977,15(9):1370–1372.
Lowson M V, Ponton A J. Symmetry breaking in vortex flows on conical bodies [J].AIAA J, 1992,30(6):1576–1583.
Lu Qishao.The Qualitative Method of Differential Equation and Bifurcation [M]. Beijing University of Aeronautics and Astronautics Press, Beijing, 1989. (in Chinese)
Zhang Zhifen, Ding Tongren, Huang Wenzhao,et al..The Qualitative Theory of Differential Equation [M]. Science Press, Beijing, 1985, 156–163. (in Chinese)
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.
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Contributed by DENG Xue-ying
Foundation items: the National Natural Science Foundation of China (10172017); the Aviation Science Foundation (02A51048)
Biographies: LI Guo-hui, Associate Professor, Doctor, E-mail: ghleebh0368@sina.com.cn DENG Xue-ying, Professor, Corresponding author, E-mail: dengxueying@vip.sina.com
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Guo-hui, L., Xue-ying, D. A critical pattern of crossflow around a slender. Appl Math Mech 26, 27–34 (2005). https://doi.org/10.1007/BF02438361
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DOI: https://doi.org/10.1007/BF02438361