Waves and instabilities of periodical shear flows

Details Waves and instabilities of periodical shear flows Waves and instabilities of periodical shear flows

Feb 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003padeu..13...27z&link_type=abstract

In: Contributions to NATO Advanced Research Workshop Turbulence, Waves, and Instabilities in the Solar Plasma; Hungary, 16-20 Se

Astronomy and Astrophysics

Astronomy

Scientific paper

The exact analytical solution of the extended Rayleigh (ER) equation for the case of the periodical compressible shear flow is found. The dispersion relation of the problem is the infinite Hill determinant. It is found that sound waves in a shear flow have a dispersion and its velocity field contains a solenoidal part. Besides sound waves, new wave modes such as phonon, waveguide and vortex wave modes are revealed. The vortex mode is a singular solenoidal mode. Such modes are negative energy waves for which a dissipative instability is possible. The absolute phonon-vortex instability appears for Mach number Magtrsim 0.4.

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