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Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2011

Stability of acoustic propagation in 2D duct flows: A low frequency approach

Abstract

In this paper, we derive a simplified "quasi-1D" limit model for the propagation of low frequency acoustic waves in a laminar flow filling a 2D duct. We analyze the well-posedness of this model in function of the Mach profile of the flow. This can be reduced to the study of the spectrum of a bounded non-normal operator. As a by-product of this analysis, we establish new results for hydrodynamic instabilities of KelvinHelmholtz type in compressible fluids. © 2011 World Scientific Publishing Company.
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hal-00849576 , version 1 (30-08-2013)

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Anne-Sophie Bonnet-Ben Dhia, Marc Duruflé, Patrick Joly, Lauris Joubert. Stability of acoustic propagation in 2D duct flows: A low frequency approach. Mathematical Models and Methods in Applied Sciences, 2011, 21 (5), pp.1121-1151. ⟨10.1142/s0218202511005271⟩. ⟨hal-00849576⟩
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