Path suppression of strongly collapsing bubbles at finite and low Reynolds numbers

LUDMILA RECHIMAN; DAMIAN DELLAVALE; FABIAN BONETTO

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Año: 2013 p. 63004 - 630012

1539-3755

We study, numerically and experimentally, three different methods to suppress the trajectories of stronglycollapsing and sonoluminescent bubbles in a highly viscous sulfuric acid solution. A new numerical schemebased on the window method is proposed to account for the history force acting on a spherical bubble withvariable radius. We could quantify the history force, which is not negligible in comparison with the primaryBjerknes force in this type of problem, and results are in agreement with the classical primary Bjerknes forcetrapping threshold analysis. Moreover, the present numerical implementation reproduces the spatial behaviorassociated with the positional and path instability of sonoluminescent argon bubbles in strongly gassed andhighly degassed sulfuric acid solutions. Finally, the model allows us to demonstrate that spatially stationarybubbles driven by biharmonic excitation could be obtained with a different mode from the one used in previousreported experiments.