Decomposition of the temporal growth rate in linear instability of compressible gas flows

Mario Weder, Michael Gloor & Leonhard Kleiser
We present a decomposition of the temporal growth rate which characterises the evolution of wave-like disturbances in linear stability theory for compressible flows. The decomposition is based on the disturbance energy balance by Chu (Acta Mech., vol. 1 (3), 1965, pp. 215-234) and provides terms for production, dissipation and flux of energy as components of . The inclusion of flux terms makes our formulation applicable to unconfined flows and flows with permeable or vibrating boundaries....
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