Free and Forced Oscillations of Spherical Gas Bubbles and Their Translational Motion in a Compressible Fluid

Abstract

The fundamental nature of vibratory cavitation is the transient growth and collapse and the translational motion of individual gas bubbles in liquids. Recent investigations [1–9] have shown · that the influence of the fluid compressibility can be very strong for the free and forced oscillations of a gas bubble in a homogeneous sound field. The differential equation of the radial motion of a pulsating gas bubble in a liquid including the fluid compressibility given by Herring is completed and solved numerically for free and forced oscillations. Furthermore an analytical solution of a nonlinearly freely oscillating gas bubble in a compressible liquid investigated by an asymptotic method will be presented [10]. Some experiments have shown that a gas bubble in an inhomogeneous sound field begins to move. The numerical solution of three differential equations [12, 13] shows that the bubble, besides oscillating radially, also moves differently strong in the translational direction in the liquid.