Numerical Description of Moving Single Bubble Sonoluminescence State in Sulfuric Acid

Abstract

In the present paper a numerical model which describes the radial dynamics of a strongly forced periodic oscillating bubble coupled with the translational motion in a highly viscous liquid like sulfuric acid solutions was developed. All hydrodynamics forces acting on the bubble were considered in the model. A novel method to account for the History force on bubbles with variable radius is presented.
As a result the m-SBSL state characterized by pseudo-orbits made by the translating bubble near the pressure antinode of a spherical acoustic field is described. The dependence of the bubble mean levitation position with the amplitude of the driving pressure was numerically simulated and analyzed.
The numerical model at low forcing pressures was compared with an analytical solution. The agreement between them is good in the range of driving frequencies typically used in SBSL. It is also shown that the proposed algorithm successfully reproduces the path instability of previous reported Argon bubbles
in Ethylene Glycol.