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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i6.40
pages 574-590

Features of Wave Propagation in Liquid-Filled Cylinders with Compliant Walls

G. L. Komissarova
S. P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

要約

The data about properties of normal waves in a composite elastic-liquid cylindrical waveguide are presented. Shear wave velocity in the cylinder's material is supposed to be less than wave velocity in the liquid (perfect fluid) filling the waveguide. The dispersion properties of the normal waves are determined on the basis of the dispersion equation analysis. The complete set of equations of the dynamic elasticity theory is used to describe the elastic cylinder's deformation. The waves in the liquid filling the waveguide are described by the Helmholtz equation. Such approach provides the effective analysis of interaction of wave motions in the elastic shell and liquid core for wide frequency and wavelength ranges. The data about the kinematic and power characteristics of the normal waves are presented. The technique for systematizing the data about the dispersion properties of the normal waves is offered using the idea of the partial subsystems. The obtained results are compared with the data for a waveguide with sufficiently rigid elastic cylinder (the transverse wave velocity in the cylinder's material exceeds the sound speed in the liquid). The essential differences in evolution of wave coupling effects in the cylinder and the liquid for the cases of rigid and compliant materials are shown.