Influence of the boundary of a column of incompressible liquid in investigating axisymmetric oscillations of a solid sphere in a cavity

Axisymmetric oscillations of a rigid spherical body in a column of ideal in compressible liquid with a plane boundary in the form of a free liquid surf ace or a rigid wall within a round cylindrical cavity are considered. The p otential and pressure fields are plotted; expressions are obtained for the kinetic energy of the system and the hydrodynamic forces acting on the body . The resistance of the liquid to accelerated movement of the body is deter mined as a function of the distance to the boundary, for various parameter values. For specified oscillations of the body, the results obtained for ax isymmetric conditions in a halfspace are compared with those obtained in an infinite cylindrical cavity.