STABILITY OF THE CROSSFLOW PATTERN AROUND A SLENDER AND INFLUENCE OF DISTURBANCE

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (12): 1354-1364.

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STABILITY OF THE CROSSFLOW PATTERN AROUND A SLENDER AND INFLUENCE OF DISTURBANCE

LI Guo-hui, DENG Xue-ying

Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China

Received:2002-06-18 Revised:2004-09-10 Online:2004-12-18 Published:2004-12-18
Supported by:
the National Natural Science Foundation of China (10172017);the Aviation Science Foundation of China (02A51048)

Abstract

Abstract: Topological structure and stability of a slender cross flow is discussed by the stability theory of dynamic system. The inner boundary of flow field was limiting streamline and it was proved that the topological structure connected saddles by limiting streamline is stable. It is proved that the development of slender vortices leads to the change of topological structure about cross flow. And it is the change from stable and symmetrical vortices flow pattern to unstable and symmetrical vortices flow pattern, and then to stable and asymmetrical vortices flow pattern due to little disturbance which leads to the development of asymmetrical slender vortices. The influence of disturbance to flowfield structure was discussed by unfolding theory too.

2010 MSC Number:

LI Guo-hui;DENG Xue-ying . STABILITY OF THE CROSSFLOW PATTERN AROUND A SLENDER AND INFLUENCE OF DISTURBANCE. Applied Mathematics and Mechanics (English Edition), 2004, 25(12): 1354-1364.

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STABILITY OF THE CROSSFLOW PATTERN AROUND A SLENDER AND INFLUENCE OF DISTURBANCE

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[1]	LI Guo-hui;DENG Xue-ying. A CRITICAL PATTERN OF CROSSFLOW AROUND A SLENDER [J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 27-34 .
[2]	YUAN Xiang-jiang;ZHOU Heng. A NUMERICAL STUDY FOR SMALL AMPLITUDE T-S WAVES IN A SUPERSONIC BOUNDARY LAYER [J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1341-1344.