Analysing a Spherical Bubble in Compressible Liquids

Abstract

Tracking the behaviour of a bubble's oscillations may help many fields for different appli- cations. We studied spherical bubbles in a compressible and viscous liquid using the Keller- Miksis equation, which includes important physical factors such as viscosity, density and sur- face tension. We performed the numerical simulations for the Keller-Miksis equation using Matlab and investigated the oscillations of bubbles in various liquids including water, blood, mercury and oil. We also analysed the compressible, viscous and surface tension effects using the dimensionless parameters (the Reynolds number and the Weber number).