Abstract
We construct a system of approximate nonlinear equations describing the small oscillations of an ideal incompressible liquid which partiallyfills a spherical cavity. These equations are obtained for the case when the cavity undergoes small harmonic translational displacements with a frequency close to the fundamental frequency of the liquid oscillations in the direction perpendicular to the gradient of the mass force field acting on the liquid.
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References
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Stolbetsov, V.I., Fishkis, V.M. A mechanical model of a liquid performing small oscillations in a spherical cavity. Fluid Dyn 3, 79–81 (1968). https://doi.org/10.1007/BF01029542
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DOI: https://doi.org/10.1007/BF01029542