'Explosive' resonant wave interactions in a three-layer fluid flow

Details 'Explosive' resonant wave interactions in a three-layer fluid flow 'Explosive' resonant wave interactions in a three-layer fluid flow

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jfm....92...15c&link_type=abstract

Journal of Fluid Mechanics, vol. 92, May 15, 1979, p. 15-33. Research supported by the Science Research Council.

Physics

Plasma Physics

19

Magnetohydrodynamic Stability, Plasma Resonance, Plasma Waves, Stratified Flow, Wave Interaction, Energy Conservation, Explosions, Linearity, Nonlinearity, Plasma Diffusion, Step Functions

Scientific paper

Cairns (1979) has recently shown how the concept of negative wave energy used in plasma physics can be exploited to obtain insights into the linear and nonlinear instability of certain parallel flows. The present paper analyzes the linear stability and nonlinear three-wave resonance in a three-layer flow with step-wise velocity and density profiles. The results are in complete agreement with Cairns' qualitative predictions. In particular, the existence is confirmed of an 'explosive' instability in which all three waves of a resonant triad grow simultaneously while total wave energy is conserved. Such nonlinear instabilities, previously undetected in fluid flows, may well be important in the ocean and atmosphere.

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