The Asymmetric Collapse of Bubbles in Compressible Liquid

The analytical solution ora bubble collapse close to a solid boundary in a compressible water is investigatedby means of a perturbation method to first order in the bubble wall Mach number. It is shown, in this paper, that itis the Rayleigh-Plesset equation for incompressible liquid to zero order solution or similar to the Gilmore equation forcompressible water to first order solution when the effect of solid boundary is negligibly small enough, i.e., sufficientlyfar away from the bubble center.