| Abstract: | The axisymmetric vibrations of an ideal incompressible liquid column in a rigid circular cylindrical vessel with a spherical
gas bubble pulsating near the position of dynamic equilibrium are considered. The boundary-value problem for the liquid velocity
potential and the equations for the vibrations of the gas bubble are solved under the conditions on the free surface, sidewall,
and the boundary of the gas body. For the case of small amplitudes, the resonance frequencies of the system are determined,
and the pressure field in the liquid column is constructed. The results are compared with data known for the gas-accumulation
model, data obtained without allowance for the boundedness of the liquid, and experimental data.
National Technical University (KPI), Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 36, No. 7, pp. 74–80, July,
2000. |
