Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
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

Volumes:
Volumen 47, 2020 Volumen 46, 2019 Volumen 45, 2018 Volumen 44, 2017 Volumen 43, 2016 Volumen 42, 2015 Volumen 41, 2014 Volumen 40, 2013 Volumen 39, 2012 Volumen 38, 2011 Volumen 37, 2010 Volumen 36, 2009 Volumen 35, 2008 Volumen 34, 2007 Volumen 33, 2006 Volumen 32, 2005 Volumen 31, 2004 Volumen 30, 2003 Volumen 29, 2002 Volumen 28, 2001 Volumen 27, 2000 Volumen 26, 1999 Volumen 25, 1998 Volumen 24, 1997 Volumen 23, 1996 Volumen 22, 1995

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

SINOPSIS

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.