Abstract
A theoretical model for predicting the sound attenuation in a liquid‐filled duct lined with a viscoelastic material is discussed. The viscoelastic liner is a rubber‐like material that has a loss factor associated with the shear modulus. In the analysis the liner is assumed to be in perfect contact with the rigid duct wall. The viscoelastic liner is characterized by Lamé constants and the material density. The fluid in the lined duct is assumed to be inviscid, and is characterized by the fluid density and the speed of sound in the medium. The derivation of the eigenvalue equation is based on the theory of elasticity, the acoustic wave equation in the presence of fluid flow, and standard boundary conditions. The eigenvalue equation was solved numerically for a given duct geometry, the liner configuration, the liner material properties, and the fluid flow velocity. Then the sound attenuation was obtained by using the calculated eigenvalues. [Work supported by NUSC.]
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