|On the axisymmetry of annular jet instabilities
Das, Samir K.
|Journal of Fluid Mechanics
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.
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