A coaxial vortex ring model for vortex breakdown

PHYSICA D-NONLINEAR PHENOMENA

卷:237

Article

Blackmore, Denis^1,2  Brons, Morten³  Goullet, Arnaud¹ 

[1] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA

[2] New Jersey Inst Technol, Ctr Appl Math & Stat, Newark, NJ 07102 USA

[3] Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark

关键词: Vortex ring dynamics and kinematics;    Swirl;    Advection;    Poincare maps;    Melnikov functions;    Chaos;    Shilnikov chaos;   

DOI  :  10.1016/j.physd.2008.05.012

来源: Elsevier

【 摘 要 】

A simple - yet plausible - model for B-type vortex breakdown flows is postulated; one that is based on the immersion of a pair of slender coaxial vortex rings in a swirling flow of an ideal fluid rotating around the axis of symmetry of the rings. It is shown that this model exhibits in the advection of passive fluid particles (kinematics) just about all of the characteristics that have been observed in what is now a substantial body of published research on the phenomenon of vortex breakdown. Moreover, it is demonstrated how the very nature of the fluid dynamics in axisymmetric breakdown flows can be predicted and controlled by the choice of the initial ring configurations and their vortex strengths. The dynamic intricacies produced by the two ring + swirl model are illustrated with several numerical experiments. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free