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

A. S. Bonnet-Ben Dhia; M. Durufle; P. Joly; L. Joubert

doi:10.1142/S0218202511005271

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

A. S. Bonnet-Ben Dhia, M. Durufle, P. Joly, L. Joubert

IMB UMR 5251

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1121-1151
Number of pages	31
Journal	Mathematical Models and Methods in Applied Sciences
Volume	21
Issue number	5
DOIs	https://doi.org/10.1142/S0218202511005271
Publication status	Published - 1 Jan 2011

Keywords

Spectral theory
acoustics in flow
asymptotic analysis
hydrodynamic stability

Access to Document

10.1142/S0218202511005271

Cite this

@article{eb1a46e1712347b1a1faf3a99e140df0,

title = "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.",

keywords = "Spectral theory, acoustics in flow, asymptotic analysis, hydrodynamic stability",

author = "\{Bonnet-Ben Dhia\}, \{A. S.\} and M. Durufle and P. Joly and L. Joubert",

year = "2011",

month = jan,

day = "1",

doi = "10.1142/S0218202511005271",

language = "English",

volume = "21",

pages = "1121--1151",

journal = "Mathematical Models and Methods in Applied Sciences",

issn = "0218-2025",

number = "5",

}

TY - JOUR

T1 - Stability of acoustic propagation in 2D duct flows

T2 - A low frequency approach

AU - Bonnet-Ben Dhia, A. S.

AU - Durufle, M.

AU - Joly, P.

AU - Joubert, L.

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

KW - Spectral theory

KW - acoustics in flow

KW - asymptotic analysis

KW - hydrodynamic stability

U2 - 10.1142/S0218202511005271

DO - 10.1142/S0218202511005271

M3 - Article

AN - SCOPUS:79957797886

SN - 0218-2025

VL - 21

SP - 1121

EP - 1151

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 5

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this