Acoustic radiation pressure on a rigid sphere in a viscous fluid

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Abstract

The acoustic radiation pressure exerted by an axisymmetric sound field on a rigid sphere suspended freely in a viscous fluid is calculated, the sphere being considered as having an arbitrary radius relative to the sound and viscous wavelengths. The limiting cases of special interest are then investigated, namely, the acoustic radiation force due to a plane progressive and plane standing wave is examined for the limiting cases when the sound wavelength is much more than both the sphere radius and the viscous wavelength and the sphere radius is, in its turn, small or large compared with the viscous wavelength. It is shown that the influence of the viscosity of the fluid surrounding the sphere on the radiation force can be quite considerable in both a quantitative and a qualitative sense. The case of a fastened sphere is also considered.

Publisher

The Royal Society

Subject

General Medicine

Reference18 articles.

1. Abramowitz M. & Stegun I. A. 1965 Handbook of mathematical functions. New York: Dover.

2. On heavy particle behaviour in viscous liquid in a standing ultrasonic wave field;Avetisyan A. G.;Akusticheskii,1985

3. Average force acting on a small sphere in a traveling wave field in a viscous fluid;Danilov S. D.;Akusticheskii Z.,1985

4. Danilov S. D. 1986 Mean force acting on a small body in an axisymmetric sound field in actual medium. Izvestiya Akad. nauk SSSR. Mekhanika zhidkosti i gaza. N 5 161-169.

5. Guz A. N. & Zhuk A. P. 1982 On the hydrodynamic forces acting in an acoustic field in a viscous liquid. Dokl. Akad. nauk SSSR 266 32-35.

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