A displacement-pressure finite element formulation for analyzing the sound transmission in ducted shear flows with finite poroelastic lining

In the present work, the propagation of sound in a lined duct containing sheared mean flow is studied. Walls of the duct are acoustically treated with absorbent poroelastic foams. The propagation of elasto-acoustic waves in the liner is described by Biot's model. In the fluid domain, the propag...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2011-07, Vol.130 (1), p.42-51
Main Authors: Nennig, Benoit, Tahar, Mabrouk Ben, Perrey-Debain, Emmanuel
Format: Article
Language:English
Subjects:
Absorption
Acoustics
Acoustics - instrumentation
Computer Simulation
Elasticity
Engineering Sciences
Equipment Design
Exact sciences and technology
Finite Element Analysis
Fundamental areas of phenomenology (including applications)
Mechanics
Models, Theoretical
Motion
Numerical Analysis, Computer-Assisted
Physics
Porosity
Pressure
Reproducibility of Results
Rheology - instrumentation
Sound
Structural acoustics and vibration
Surface Properties
Time Factors
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Summary:In the present work, the propagation of sound in a lined duct containing sheared mean flow is studied. Walls of the duct are acoustically treated with absorbent poroelastic foams. The propagation of elasto-acoustic waves in the liner is described by Biot's model. In the fluid domain, the propagation of sound in a sheared mean flow is governed by the Galbrun's equation. The problem is solved using a mixed displacement-pressure finite element formulation in both domains. A 3D implementation of the model has been performed and is illustrated on axisymmetric examples. Convergence and accuracy of the numerical model are shown for the particular case of the modal propagation in a infinite duct containing a uniform flow. Practical examples concerning the sound attenuation through dissipative silencers are discussed. In particular, effects of the refraction effects in the shear layer as well as the mounting conditions of the foam on the transmission loss are shown. The presence of a perforate screen at the air-porous interface is also considered and included in the model.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.3598451