Hydrodynamic instability of convectively unstable atmospheres in shear flow

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convective Flow, Flow Stability, Shear Flow, Solar Atmosphere, Stellar Atmospheres, Oscillating Flow, Phase Velocity, Solar Granulation, Wave Propagation

Scientific paper

The paper investigates the interaction between regions of convectively unstable fluid, bounded above and below by stable fluid, with a basic horizontal flow sheared in a vertical direction. The analysis is based on the definition of the mechanical energy flux associated with wave motion in a stratified compressible fluid and enables bounds to be placed on the real and complex phase velocities of overstable modes. It is found that purely exponentially growing modes, with horizontal wave-vectors spanwise to the shear, do not exist. The application of the analysis is to supergranular flow and granular convection in the solar atmosphere.

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