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), 3333-3338. (doi:10.1121/1.3638132).

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Description/Abstract

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
discussed.

Item Type: Article
ISSNs: 0001-4966 (print)
Keywords: bubbles, pipe flow, ultrasonics
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering and the Environment > Institute of Sound and Vibration Research > Acoustics Group
ePrint ID: 203919
Date Deposited: 22 Nov 2011 14:46
Last Modified: 27 Mar 2014 19:48
URI: http://eprints.soton.ac.uk/id/eprint/203919

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