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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i6.70
18 pages

Characteristics of Normal Waves in Elastic-Fluid Cylindrical Waveguide

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

RESUMO

Properties of normal waves in the thin-walled elastic cylinder filled with an ideal liquid are considered. The analysis is carried out in a wide range of frequencies. To describe the wave field in the elastic cylinder the complete set of equations of the dynamic theory of elasticity is used. It allows to study comprehensively the effects of interaction between waves in an elastic body and liquid. The basic attention is given to the cases concerning thin cylinders. The arrangement of numerical calculation data is carried out on the basis of known properties of some partial subsystems. Manifestation of the interaction effects and physical properties of normal waves in compound waveguide become sufficiently informative when the empty elastic cylinder and cylindrical acoustic waveguides with soft or rigid external boundaries as partial subsystems are chosen. Using the soft boundary model is justified in case of a thin-walled elastic cylinder and concerning low frequencies. At increase of rigidity of the cylinder or increase of frequency the waveguide with rigid wall is more suitable as a partial subsystem. The detailed analysis of the kinematic and power characteristics of normal waves is given. Their change depending on geometrical and physical parameters shows the role of the effects of elastic-liquid interaction in compound waveguides. Special attention is given to the lowest normal waves having the special properties and being most strongly the subject of the influence of the interaction between the solid and fluid parts of the waveguides.


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