Decomposition of the temporal growth rate in linear instability of compressible gas flows
- Journal Article
Rights / licenseIn Copyright - Non-Commercial Use Permitted
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. The decomposition sheds light on the fundamental mechanisms determining temporal growth or decay of disturbances. The additional insights gained by the proposed approach are demonstrated by an investigation of two model flows, namely compressible Couette flow and a plane compressible jet. © 2015 Cambridge University Press. Show more
Journal / seriesJournal of Fluid Mechanics
Pages / Article No.
PublisherCambridge University Press
SubjectCompressible flows; Instability
Organisational unit02628 - Institut für Fluiddynamik / Institute of Fluid Dynamics
03307 - Dual, Jürg / Dual, Jürg
03419 - Kleiser, Leonhard
NotesIt was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
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