Abstract
A two-dimensional theoretical study has been made of the sound attenuation in a liquid-filled rectangular duct internally lined with a viscoelastic material. In the theoretical analysis, it is assumed that the rectangular duct is rigid, and the viscoelastic liner is an isotropic elastic medium. The viscoelastic liner is a rubber-like material that has a loss factor associated with the shear modulus. The liner is in perfect contact with the duct wall. The fluid in the lined duct is characterized by the medium density and the speed of sound in the medium. The viscoelastic liner is characterized by Lamé constants which can be expressed in terms of any two of the following quantities; Young's modulus, bulk modulus, and Poisson's ratio. The deviation of the eigenvalue equation was based on the theory of elasticity, the acoustic wave equation in the presence of a uniform flow, and the standard boundary conditions. The eigenvalue equation has been solved numerically, and the sound attenuation was obtained using the calculated eigenvalues.
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