Stability of acoustic propagation in 2D duct flows: A low frequency approach
Idioma
en
Article de revue
Este ítem está publicado en
Mathematical Models and Methods in Applied Sciences. 2011, vol. 21, n° 5, p. 1121-1151
World Scientific Publishing
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Spectral theory
hydrodynamic stability
acoustics in flow
asymptotic analysis
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