NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
53rd NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
Session ID : 2C12
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OS16-2
Curvature Instability of Vortex Rings: Local Stability Analysis and Weak Nonlinear Analysis
*Yuji HattoriYasuhide Fukumoto
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Abstract
The stability of vortex rings are studied by local stability analysis and weak nonlinear analysis. The Hill-Scrhoedinger equation for vortex rings is derived. It is used to evaluate growth rates analytically. Three types of vortex ring are considered: Kelvin's vortex ring, the Gaussian vortex ring and the quasi-steady vortex ring obtained by direct numerical simulation. The curvature instability found by Fukumoto & Hattori is shown to be significant for all three types, while underlying mechanism is different between Kelvin's ring and the other two types.
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© 2004 Committee for Mechanics and Structure,Science Council
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