Numerical simulation of bubble dynamics in an elastic vessel

Abstract

The nonlinear evolution of a gas bubble in the middle of an elastic vessel is investigated numerically. The fluids inside and outside the vessel are assumed to be incompressible and potential. A boundary element method (BEM) is adopted to solve the Laplace equation for the velocity potential. The gas inside the bubble is described by the Boyle Law. The fluid outside the vessel is assumed to contain the elasticity. The dynamic boundary condition on the vessel interface i is obtained from the derived Bernoulli Equation. This numerical model is validated through the comparisons with both the analytic solution of Rayleigh-Plesset equation and spark bubble experiment. The bubble dynamic behavior with different elastic parameters and vessel inner radius is further discussed.