Abstract

A theoretical analysis of the propagation of periodic waves through a viscous compressible liquid contained in an infinitely long, viscoelastic tube is presented. The propagation constants of the two fundamental modes are obtained in approximate closed forms. One mode represents the wave due to the longitudinal motion of the tube wall and the other mode represents the pressure wave through the liquid. In this analysis the latter mode, which is defined by the first mode, is mainly discussed. The effects of the compressibility of the liquid, the Poisson ratio and the viscoelasticity of the tube material on the propagation constant of the first mode are clarified.

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