Affiliation:
1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Abstract
The forced nonlinear oscillations of a gas bubble in a liquid are studied when the frequency of oscillations of the external pressure of the liquid is equal to the natural frequency of the bubble oscillations (resonance). Using the averaging method, a simple formula is derived for the dependence of the amplitude of oscillations of a gas bubble on the amplitude of the external pressure and the thermophysical characteristics of the gas and liquid viscosity. Its good agreement with numerical calculations is shown up to the value of the amplitude of oscillations of the bubble radius comparable with its equilibrium value.
Publisher
The Russian Academy of Sciences