Velocity effects in scattering from expanding bubbles

D. Censor

doi:10.1016/0022-460X(72)90824-3

Velocity effects in scattering from expanding bubbles

D. Censor

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The problem of scattering of plane sound waves from radially expanding cylinders and spheres is considered. The problem contains two elements: propagation in radially flowing media in the vicinity of the scatterers, and the effect of the motion of the boundaries on the scattered waves. The problem is solved within the framework of linear acoustics and small velocities of the boundaries. The explicit solutions in terms of the pertinent special functions are obtained by perturbing the time around an arbitrary origin, t = 0; therefore the full time history can only be established by piecing together results for various instances, redefining t = 0 for each case. It is hoped that the results might help in probing underwater explosions and the ensuing pulsating gas bubbles.

Original language	English
Pages (from-to)	379-385
Number of pages	7
Journal	Journal of Sound and Vibration
Volume	21
Issue number	4
DOIs	https://doi.org/10.1016/0022-460X(72)90824-3
State	Published - 22 Apr 1972
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/0022-460X(72)90824-3

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title = "Velocity effects in scattering from expanding bubbles",

abstract = "The problem of scattering of plane sound waves from radially expanding cylinders and spheres is considered. The problem contains two elements: propagation in radially flowing media in the vicinity of the scatterers, and the effect of the motion of the boundaries on the scattered waves. The problem is solved within the framework of linear acoustics and small velocities of the boundaries. The explicit solutions in terms of the pertinent special functions are obtained by perturbing the time around an arbitrary origin, t = 0; therefore the full time history can only be established by piecing together results for various instances, redefining t = 0 for each case. It is hoped that the results might help in probing underwater explosions and the ensuing pulsating gas bubbles.",

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AB - The problem of scattering of plane sound waves from radially expanding cylinders and spheres is considered. The problem contains two elements: propagation in radially flowing media in the vicinity of the scatterers, and the effect of the motion of the boundaries on the scattered waves. The problem is solved within the framework of linear acoustics and small velocities of the boundaries. The explicit solutions in terms of the pertinent special functions are obtained by perturbing the time around an arbitrary origin, t = 0; therefore the full time history can only be established by piecing together results for various instances, redefining t = 0 for each case. It is hoped that the results might help in probing underwater explosions and the ensuing pulsating gas bubbles.

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SP - 379

EP - 385

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 4

ER -

Velocity effects in scattering from expanding bubbles

Abstract

ASJC Scopus subject areas

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