STABILITY OF ACOUSTIC PROPAGATION IN 2D DUCT FLOWS: A LOW FREQUENCY APPROACH

被引：3

作者：

Bonnet-Ben Dhia, A. -S. ^{[1
]}

Durufle, M. ^{[2
]}

Joly, P. ^{[3
]}

Joubert, L. ^{[3
]}

机构：

[1] ENSTA, INRIA, CNRS, POEMS,UMR 7231, F-75015 Paris, France

[2] Inst Math Bordeaux, F-33405 Talence, France

[3] ENSTA, INRIA, CNRS, POEMS,UMR 2706, F-78153 Le Chesnay, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷 / 05期

关键词：

Spectral theory; hydrodynamic stability; acoustics in flow; asymptotic analysis; INSTABILITY;

D O I：

10.1142/S0218202511005271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Kelvin-Helmholtz type in compressible fluids.

引用

页码：1121 / 1151

页数：31

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