The University of Southampton
University of Southampton Institutional Repository

Review of theory for scattering and extinction cross-sections, damping factors and resonance frequencies of spherical gas bubbles

Ainslie, M.A. and Leighton, T.G. (2011) Review of theory for scattering and extinction cross-sections, damping factors and resonance frequencies of spherical gas bubbles Journal of the Acoustical Society of America, 130, (5), pp. 3184-3208. (doi:10.1121/1.3628321).

Record type: Article

Abstract

Perhaps the most familiar concepts when discussing acoustic scattering by bubbles are the resonance
frequency for bubble pulsation, the bubbles’ damping, and their scattering and extinction
cross-sections, all of which are used routinely in oceanography, sonochemistry, and biomedicine.
The apparent simplicity of these concepts is illusory: there exist multiple, sometimes contradictory
definitions for their components. This paper reviews expressions and definitions in the literature for
acoustical cross-sections, resonance frequencies, and damping factors of a spherically pulsating gas
bubble in an infinite liquid medium, deriving two expressions for “resonance frequency” that are
compared and reconciled with two others from the reviewed literature. In order to prevent errors,
care is needed by researchers when combining results from different publications that might have
used internally correct but mutually inconsistent definitions. Expressions are presented for acoustical
cross-sections associated with forced pulsations damped by liquid shear and (oft-neglected)
bulk or dilatational viscosities, gas thermal diffusivity, and acoustic re-radiation. The concept of a
dimensionless “damping coefficient” is unsuitable for radiation damping because different crosssections
would require different functional forms for this parameter. Instead, terms based on the ratio
of bubble radius to acoustic wavelength are included explicitly in the cross-sections where
needed.

Full text not available from this repository.

More information

Published date: 2011
Organisations: Acoustics Group

Identifiers

Local EPrints ID: 203915
URI: http://eprints.soton.ac.uk/id/eprint/203915
ISSN: 0001-4966
PURE UUID: a5b399dd-2dd0-4a0d-b1bc-f68b25494102
ORCID for T.G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750

Catalogue record

Date deposited: 22 Nov 2011 14:30
Last modified: 18 Jul 2017 11:07

Export record

Altmetrics

Contributors

Author: M.A. Ainslie
Author: T.G. Leighton ORCID iD

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×