The inertial terms in equations of motion for bubbles in tubular vessels or between plates
The inertial terms in equations of motion for bubbles in tubular vessels or between plates
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.
bubbles, pipe flow, ultrasonics
3333-3338
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
2011
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
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), .
(doi:10.1121/1.3638132).
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.
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More information
Published date: 2011
Keywords:
bubbles, pipe flow, ultrasonics
Organisations:
Acoustics Group
Identifiers
Local EPrints ID: 203919
URI: http://eprints.soton.ac.uk/id/eprint/203919
ISSN: 0001-4966
PURE UUID: b0d570ec-4adb-4588-aa82-4843c50a2adc
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Date deposited: 22 Nov 2011 14:46
Last modified: 15 Mar 2024 02:45
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