Sonic instabilities in supersonic shear flows

Statistics – Computation

Scientific paper

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Acoustic Instability, Kelvin-Helmholtz Instability, Shear Flow, Shear Layers, Sound Waves, Supersonic Flow, Computational Fluid Dynamics, Radio Jets (Astronomy), Solar Wind, Supersonic Speed, Vortex Sheets

Scientific paper

Using analytical methods the stability of a linear supersonic shear layer is reexamined. Two mechanisms working both for Kelvin-Helmholtz-type modes and sonic modes are responsible for instabilities caused by the shear: resonant interaction between modes and energy loss due to acoustic radiation of modes having negataive energy. Which of these mechanisms is dominant sensitively depends on the density contrast between the shear layer and the surrounding medium. A close relation to the instability of accretion tori discovered by Papaloizou and Pringle (1984) is found.

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