The University of Southampton
University of Southampton Institutional Repository

The inertial terms in equations of motion for bubbles in tubular vessels or between plates

Leighton, T.G. (2011) The inertial terms in equations of motion for bubbles in tubular vessels or between plates Journal of the Acoustical Society of America, 130, (5), pp. 3333-3338. (doi:10.1121/1.3638132).

Record type: Article


Equations resembling the Rayleigh-Plesset and Keller-Miksis equations are frequently used to
model bubble dynamics in confined spaces, using the standard inertial term RR+3R2=2, where R
is the bubble radius. This practice has been widely assumed to be defensible if the bubble is much
smaller than the radius of the confining vessel. This paper questions this assumption, and provides a
simple rigid wall model for worst-case quantification of the effect on the inertial term of the specific
confinement geometry. The relevance to a range of scenarios (including bubbles confined in microfluidic
devices; or contained in test chambers for insonification or imaging; or in blood vessels) is

Full text not available from this repository.

More information

Published date: 2011
Keywords: bubbles, pipe flow, ultrasonics
Organisations: Acoustics Group


Local EPrints ID: 203919
ISSN: 0001-4966
PURE UUID: b0d570ec-4adb-4588-aa82-4843c50a2adc
ORCID for T.G. Leighton: ORCID iD

Catalogue record

Date deposited: 22 Nov 2011 14:46
Last modified: 18 Jul 2017 11:07

Export record


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 supports OAI 2.0 with a base URL of

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.