Parametrically excited shape distortion of a submillimeter bubble

Stephen J. Shaw*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The existence of finite amplitude shape distortion caused by parametrically excited surface instabilities for a gas bubble in water driven by a temporally periodic, spatially uniform pressure field in an axisymmetric geometry is investigated. Employing a nonlinear coupled system of equations which includes shape mode interactions to third order, the resultant spherical oscillations, translation, and shape distortion of the bubble are modelled, placing no restriction on the size of the spherical oscillations. The model accounts for viscous and thermal damping with compressibility effects. The existence of synchronous and higher order parametrically induced sustained, finite amplitude, periodic shape deformation is demonstrated. The excitement of an odd shape mode via the synchronous mechanism is shown to give rise to linear bubble self-propulsion. For larger driving amplitudes, it is shown that more than one shape mode can be parametrically excited at the same driving frequency but by different resonance mechanisms, leading to more involved shape deformation and the increased possibility of bubble self-propulsion.

Original languageEnglish
Pages (from-to)55-64
Number of pages10
JournalJournal of the Acoustical Society of America
Volume156
Issue number1
DOIs
Publication statusPublished - 1 Jul 2024

Fingerprint

Dive into the research topics of 'Parametrically excited shape distortion of a submillimeter bubble'. Together they form a unique fingerprint.

Cite this