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

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i1-2.180
pages 244-257

Effect of Boundaries of Compressible Fluid on Axisymmetric Vibrations of a Spherical Body in a Vessel

V. D. Kubenko
S. P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
A. V. Kuz'ma
S. P. Timoshenko's Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine


The axisymmetric oscillations of a semi-infinite column of ideal compressible liquid, induced by pulsations and oscillations of a spherical body in a circular cylindrical container, are considered. The potential field is constructed as a combination of series of spherical wave functions and solutions of the Helmholtz equation, taken in the integral form, in the cylindrical coordinates. The boundary-value problem, including the boundary conditions at the spherical surface of the body, rigid cylindrical wall and flat free surface, is reduced to an infinite system of the algebraic equations for coefficients of the expansion. The system is solved using the method of truncation. When constructing the pressure field, the instances of wavelengths, no less than the cavity radius, as well as two first eigenvalues of the wave number are examined in detail. Hydrodynamical forces acting on the body, pulsating near the free surface, are studied. The force values averaged for a period are analyzed. All the results are compared to the available ones for either a half-space filled with compressible fluid or infinite columns of incompressible or compressible liquids.