A finite-length instability of vortex tubes

We show that vortex tubes of finite length have an instability which destroys the vorticity structure quickly. Axial flows develop within the core of the vortex structure, directed inwards from both ends of the vortex tube. The converging axial flows cause the core at the midpoint in length of the v...

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Bibliographic Details
Published in:European journal of mechanics, B, Fluids B, Fluids, 1998-07, Vol.17 (4), p.587-594
Main Author: Samuels, D.C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Fundamentals
Physics
Turbulent flows, convection, and heat transfer
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Summary:We show that vortex tubes of finite length have an instability which destroys the vorticity structure quickly. Axial flows develop within the core of the vortex structure, directed inwards from both ends of the vortex tube. The converging axial flows cause the core at the midpoint in length of the vortex tube to expand rapidly, disrupting the vortex structure. Examples of this instability are shown by simulation, and the properties of the instability are derived. In order for the concentrated vorticity structures of turbulence to survive this instability they must be embedded in an external flow which compensates for the self-generated axial flow. This emphasizes the importance of considering the environment of the vortex structures and not just the structures in isolation.
ISSN:0997-7546
1873-7390
DOI:10.1016/S0997-7546(98)80013-7