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


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. In, Papadakis, J.S. and Bjorno, L. (eds.) Proceedings of the Fourth International Conference on Underwater Acoustic Measurements, Technologies and Results. Fourth International Conference on Underwater Measurements, Technologies and Results Heraklion, Greece, Institute of Applied and Computational Mathematics, 923-930. (In Press).

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Description/Abstract

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

Item Type: Book Section
Related URLs:
Keywords: scattering cross-section, radiation damping, bulk viscosity, compressibility
Subjects: Q Science > QC Physics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Fluid Dynamics and Acoustics
ePrint ID: 193459
Date Deposited: 14 Jul 2011 10:18
Last Modified: 27 Mar 2014 19:44
Publisher: Institute of Applied and Computational Mathematics
URI: http://eprints.soton.ac.uk/id/eprint/193459

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