Decomposition of the temporal growth rate in linear instability of compressible gas flows
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Date
2015-09-10Type
- Journal Article
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Abstract
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
Permanent link
https://doi.org/10.3929/ethz-a-010833530Publication status
publishedExternal links
Journal / series
Journal of Fluid MechanicsVolume
Pages / Article No.
Publisher
Cambridge University PressSubject
Compressible flows; InstabilityOrganisational unit
02628 - Institut für Fluiddynamik / Institute of Fluid Dynamics03307 - Dual, Jürg (emeritus) / Dual, Jürg (emeritus)
03419 - Kleiser, Leonhard
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
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ETH Bibliography
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