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Radiation Pressure on a Small Rigid Sphere

 

作者: Wesley L. Nyborg,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1967)
卷期: Volume 42, issue 5  

页码: 947-952

 

ISSN:0001-4966

 

年代: 1967

 

DOI:10.1121/1.1910702

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

Simple expressions are derived for the acoustic radiation forceFon a small rigid sphere of radiusa, volumevand density ρ suspended In a liquid or gas of density ρ0. Effects of viscosity are neglected; use is made of methods developed by King and Embleton. Results are expressed in terms of the time‐averaged densitiesT̄aandV̄aof kinetic and potential energies, respectively, in the incident sound field. Letting β be ρ0/ρ it is found. as an approximation whenais much less than the sonic wavelength, thatF = v[B∇T̄a − ∇V̄a]+Δ,B− 3 1 − β /(2+β), where Δ is given by a relatively complicated expression. The quantity Δ is important primarily in progressive waves of relatively uniform amplitude, as exist in the field of a large source; here ∇T̄aand ∇V̄a, may be relatively small while gradients of the phase exist. In a standing wave or in the neighborhood of a small source, Δ is negligible. When Δ = 0, the above expression forFagrees with one given previously by Gor'kov.

 

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