Mean Force on a Sphere in a Spherical Sound Field. I. (Theoretical)
作者:
T. F. W. Embleton,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1954)
卷期:
Volume 26,
issue 1
页码: 40-45
ISSN:0001-4966
年代: 1954
DOI:10.1121/1.1907286
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The mean force acting on a rigid sphere placed in a progressive spherical sound field has been obtained by integration of the individual contributions from the velocity potential and particle velocity acting on each element of the sphere's surface. Motion of the sphere under the action of the first order pressure variations in the sound field has been taken into account. The radiation force has been expressed as an infinite series of inverse powers of the source distance, each term of which is multiplied by an infinite power series in terms of sphere radius. At very large distances from the source the radiation force obeys an inverse square law of repulsion. As the source of the field is approached, the repulsion decreases to zero and then becomes a force of attraction. The extent of this region of attraction is determined both by the frequency of the sound field and by the size of the detecting sphere; lower frequencies and smaller spheres both extend the region. Even when allowance is made for an inverse square law, the attractions may be many times greater than the repulsions in the same sound field.
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