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Published December 1, 1988 | public
Journal Article Open

Acoustical Absorption and Scattering Cross Sections of Spherical Bubble Clouds

Abstract

The present work investigates the acoustical absorption and scattering cross sections of spherical bubble clouds subject to harmonic farfield pressure excitation. Bubble dynamics effects and energy dissipation due to viscosity, heat transfer, liquid compressibility, and relative motion of the two phases are included. The equations of motion for the average flow and for the bubble radius are linearized and a closed-form solution is obtained. Due to the presence of natural oscillatory modes and frequencies, the acoustical cross sections of the cloud are very different from those of each individual bubble in the cloud, as well as from the acoustical cross sections of a single large bubble with the same volume of vapor and gas. In general, the acoustical properties of any give volume of the dispersed phase depend strongly on the degree of dispersion because of the complex interactions of the dynamics of the bubbles with the whole flow.

Additional Information

Received 5 January 1988; accepted for publication 26 July 1988. The authors would like to thank Cecilia Lin for her help in drawing the pictures. This work was supported by the Naval Sea System Command General Hydromechanics Research Program admninistered by the David Taylor Naval Ship Research and Development Center under Contract No. N00167-85-K-0165, by the Office of Naval Research under contract No. N0014-83-K-0506 and by a Fellowship for Technological Research administered by the North Atlantic Treaty Organization - Consiglio Nazionale dalle Ricerche, Italy, Competition No. 215.15/11 of 11.5.1982. Their support is gratefully acknowledged.

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August 22, 2023
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October 13, 2023