Dynamics of a Gas Bubble Moving in an Inviscid Liquid Subjected to a Sudden Pressure Change

Abstract

A gas bubble moves with constant translatory velocity in a quiescent liquid. Its shape deviates from sphericity due to asymmetrical forces exerted upon its surface. Then the liquid pressure undergoes a step change. It is the purpose of the study to analytically predict the time history of the bubble size, translatory velocity, and deformation. The mechanisms involved in the acceleration of the translatory motion and in the growth or collapse rate of the bubble are discussed.