The instability of internal gravity waves propagating at small angles to the vertical

Details The instability of internal gravity waves propagating at small angles to the vertical The instability of internal gravity waves propagating at small angles to the vertical

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980fizao..16.1024k&link_type=abstract

Akademiia Nauk SSSR, Izvestiia, Fizika Atmosfery i Okeana, vol. 16, Oct. 1980, p. 1024-1033. In Russian.

Physics

Gravity Waves, Internal Waves, Upper Atmosphere, Vertical Motion, Wave Propagation, Amplitudes, Dynamic Stability, Hydrodynamic Equations, Meteorites, Parallel Flow, Steady Flow, Viscosity

Scientific paper

A theoretical analysis of the stability of internal gravity waves propagating at small angles to the vertical is presented. These waves are modeled as a plane-parallel steady flow with allowance for viscosity and thermal conductivity. It is shown that waves are unstable at arbitrarily small amplitudes (in the absence of dissipation) due to growing small-scale modes with wavelengths that decrease with the amplitude of the primary wave; in addition, the instability increment is proportional to the square of the amplitude of the primary wave. The results are used to consider the instability of internal gravity waves in the upper atmosphere (e.g., the meteor zone).

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