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On the axisymmetry of annular jet instabilities

Published online by Cambridge University Press:  02 July 2003

FALIN CHEN ,
JIE-YING TSAUR ,
FRANZ DURST  and
SAMIR K. DAS
FALIN CHEN
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 106, Republic of China
JIE-YING TSAUR
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 106, Republic of China
FRANZ DURST
Affiliation:
Lehrstuhl fuer Stroemungsmechanik, Friedrich-Alexander-Universitaet Erlangen-Nuernberg, D-91058 Erlangen, Germany
SAMIR K. DAS
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 106, Republic of China
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Abstract

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We implement a linear stability analysis for the viscous annular jet surrounded by inviscid motionless gas subject to three-dimensional disturbances, and an analytical dispersion relation is presented. With this relation, we are able to obtain evidence that the axisymmetric mode is the most unstable mode of the system. The evidence for general cases is based on the numerical results obtained by solving the transcendental dispersion relation for a wide range of physical parameters. The results for two special cases, a very thin annular jet and an annular jet with disturbances of very short axial wavelength, are obtained from two rigorous analytical approaches.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 488 , 10 July 2003 , pp. 355 - 367
Copyright
© 2003 Cambridge University Press