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Examination of group-velocity criterion for breakdown of vortex flow in a divergent duct

Phys. Fluids 23, 864 (1980); doi:10.1063/1.863095

Issue Date: May 1980

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Chon-Yin Tsai and Sheila E. Widnall
National Aeronautics and Space Administration, Ames Research Center, Moffett Field, California 94035
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
A group-velocity criterion for vortex breakdown implied by wave trapping theory is applied to vortex flows in a slightly divergent duct that exhibits breakdown. The group velocities for both symmetric (n=0) and nonsymmetric (n=±1) modes of wave propagation are calculated for the experimental data. It is found that the flow ahead of the breakdown region is always supercritical and stable to these modes of disturbances. However, the flow field behind the breakdown region may be either supercritical or subcritical to the modes n=0 and n=1, and always supercritical to mode n=−1. The flow field behind this breakdown region is unstable to the asymmetric mode disturbance (n=1) for a finite range of wavenumbers. The calculated frequencies of the unstable disturbances are in good agreement with the frenquencies obtained from the experimental measurements. Physics of Fluids is copyrighted by The American Institute of Physics.
Permalink: http://dx.doi.org/10.1063/1.863095
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KEYWORDS and PACS

Keywords
PACS
  • 47.20.+m
    Fluid dynamics Hydrodynamic stability
  • 47.25.Rw
    Fluid dynamics Turbulent flows, convection, and heat transfer Wakes
  • 47.30.+s
    Fluid dynamics Rotational flow and vorticity
  • 47.60.+i
    Fluid dynamics Flows in ducts, channels, and conduits
  • YEAR: 1980

PUBLICATION DATA

ISSN:
0031-9171 (print)   1089-7666 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (15)
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