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Effects of compressibility on the radiation and viscous damping terms in the scattering and extinction cross-sections of a single spherical bubble: a puzzle solved and a puzzle posed

Record type: Conference or Workshop Item (Paper)

In [M. A. Ainslie & T. G. Leighton, Underwater Acoustic Measurements (Heraklion, Crete, 2007), pp 571-576], the authors described a discrepancy between the radiation damping coefficients in the models due to Weston and to Medwin describing the scattering cross-section of a single spherical bubble. The resolution of that discrepancy [M. A. Ainslie & T. G. Leighton, J. Acoust. Soc. Am. 126, 2163-2175 (2009)] is summarised, and a new question posed related to viscous damping, as follows. The usual derivation of bubble damping due to viscosity assumes an incompressible medium; in that derivation, dilatational viscosity is neglected on the grounds that there is no compression. Modern theoretical treatments of scattering and attenuation through bubble clouds permit a compressible medium for radiation damping, but do not revisit the effect of this compressibility on the viscous damping. This raises as yet unanswered questions about the validity of the currently accepted expressions for the viscous damping factor used for calculating scattering and extinction cross-sections

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Citation

Ainslie, Michael A. and Leighton, T.G., (2011) Effects of compressibility on the radiation and viscous damping terms in the scattering and extinction cross-sections of a single spherical bubble: a puzzle solved and a puzzle posed Papadakis, J.S. and Bjorno, L. (eds.) In Proceedings of the Fourth International Conference on Underwater Acoustic Measurements, Technologies and Results. Institute of Applied and Computational Mathematics. 8 pp, pp. 923-930.

More information

Published date: June 2011
Venue - Dates: Fourth International Conference on Underwater Measurements, Technologies and Results, Greece, 2011-06-20 - 2011-06-24
Keywords: scattering cross-section, radiation damping, bulk viscosity, compressibility

Identifiers

Local EPrints ID: 193459
URI: http://eprints.soton.ac.uk/id/eprint/193459
PURE UUID: 49e145a3-248e-47c3-9789-a9848c9ff077
ORCID for T.G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750

Catalogue record

Date deposited: 14 Jul 2011 10:18
Last modified: 18 Jul 2017 11:29

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Contributors

Author: Michael A. Ainslie
Author: T.G. Leighton ORCID iD
Editor: J.S. Papadakis
Editor: L. Bjorno

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