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.
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页码：1121 / 1151
页数：31
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