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

We study, numerically and experimentally, three different methods to suppress the trajectories of strongly collapsing and sonoluminescent bubbles in a highly viscous sulfuric acid solution. A new numerical scheme based on the "window method" is proposed to account for the history force act...

Full description

Bibliographic Details
Authors: Rechiman, Ludmila María, Dellavale Clara, Hector Damian, Bonetto, Fabian Jose
Format: article
Status:Published version
Publication Date:2013
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/21376
Online Access:http://hdl.handle.net/11336/21376
Access Level:Open access
Keyword:Sonoluminescence
History Force
Bjerknes Force
Rayleigh-Plesset-Keller Equation
https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
Description
Summary:We study, numerically and experimentally, three different methods to suppress the trajectories of strongly collapsing and sonoluminescent bubbles in a highly viscous sulfuric acid solution. A new numerical scheme based on the "window method" is proposed to account for the history force acting on a spherical bubble with variable radius. We could quantify the history force, which is not negligible in comparison with the primary Bjerknes force in this type of problem, and results are in agreement with the classical primary Bjerknes force trapping threshold analysis. Moreover, the present numerical implementation reproduces the spatial behavior associated with the positional and path instability of SL Argon bubbles in strongly gassed and highly degassed sulfuric acid solutions. Finally, the model allows us to demonstrate that spatially stationary bubbles driven by bi-harmonic excitation could be obtained with a mode different from the one used in previous reported experiments.