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Physics of Fluids / Volume 12 / Issue 5 / ARTICLES

Phys. Fluids 12, 1062 (2000); doi:10.1063/1.870361 (11 pages)

Absolute and convective instability character of slender viscous vortices

Xie-Yuan Yin1, De-Jun Sun1, Ming-Jun Wei1, and Jie-Zhi Wu2,3

1Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China
2University of Tennessee Space Institute, Tullahoma, Tennessee 37388
3State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, People’s Republic of China

(Received 3 February 1999; accepted 28 December 1999)

Motivated by the need for effective vortex control, the character of absolute and convective instabilities (AI/CI) of incompressible and high-Mach number slender vortices with axial-velocity deficit is studied. Attention is focused on the disturbance modes which lead to the maximum absolute growth rate, and their dependence on flow conditions such as axial-flow profile, Reynolds number, and Mach number. A significant difference between the AI/CI and temporal-instability characters of the vortices occurs as the axial velocity deficit reduces. These theoretical results are applied to the flow region where vortex breakdown happens. It is found that the breakdown region is absolutely unstable, where waves are dominated by the spiral disturbance with lowest azimuthal wave number, in reasonable agreement with measurement. © 2000 American Institute of Physics.

© 2000 American Institute of Physics

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KEYWORDS and PACS

Keywords

flow instability, vortices, convection, Mach number

PACS

ARTICLE DATA

Permalink
http://link.aip.org/link/doi/10.1063/1.870361

PUBLICATION DATA

ISSN:

1070-6631 (print)  
1089-7666 (online)

Publisher:

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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