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Acoustic Radiation from a Pair of Spheres

Morfey, C. L. ; Garcia-Bonito, J. and Peplow, A. T. LU orcid (1998) In Acustica 84(4). p.701-711
Abstract

In this paper we present a semi-analytical model which enables the acoustic pressure field created by two spheres radiating close together to be predicted at any point outside the spheres. By representing the pressure field from each sphere as a finite sum of spherical harmonics and satisfying the boundary conditions at a finite number of points on the surface of each sphere, the problem reduces to the solution of a system of simultaneous linear equations whose unknown variables are the relative amplitudes of each spherical harmonic. The results from this model have been compared with those obtained using a boundary element method approach. It is shown that for values of ka < 10 both methods give results with a relative error less... (More)

In this paper we present a semi-analytical model which enables the acoustic pressure field created by two spheres radiating close together to be predicted at any point outside the spheres. By representing the pressure field from each sphere as a finite sum of spherical harmonics and satisfying the boundary conditions at a finite number of points on the surface of each sphere, the problem reduces to the solution of a system of simultaneous linear equations whose unknown variables are the relative amplitudes of each spherical harmonic. The results from this model have been compared with those obtained using a boundary element method approach. It is shown that for values of ka < 10 both methods give results with a relative error less than 1% for separated spheres. The case for contacting spheres is discussed and results presented. Numerical examples demonstrate the accuracy and convergence rates of the two methods. A detailed analysis of the radiation problem when the spheres are in contact is given in an Appendix.

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author
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publishing date
type
Contribution to journal
publication status
published
subject
in
Acustica
volume
84
issue
4
pages
11 pages
publisher
S. Hirzel Verlag GmbH
external identifiers
  • scopus:0347145889
ISSN
0001-7884
language
English
LU publication?
no
id
2faa49b3-87a8-4025-a95b-da569161eda7
date added to LUP
2021-02-15 20:00:06
date last changed
2025-04-04 15:20:31
@article{2faa49b3-87a8-4025-a95b-da569161eda7,
  abstract     = {{<p>In this paper we present a semi-analytical model which enables the acoustic pressure field created by two spheres radiating close together to be predicted at any point outside the spheres. By representing the pressure field from each sphere as a finite sum of spherical harmonics and satisfying the boundary conditions at a finite number of points on the surface of each sphere, the problem reduces to the solution of a system of simultaneous linear equations whose unknown variables are the relative amplitudes of each spherical harmonic. The results from this model have been compared with those obtained using a boundary element method approach. It is shown that for values of ka &lt; 10 both methods give results with a relative error less than 1% for separated spheres. The case for contacting spheres is discussed and results presented. Numerical examples demonstrate the accuracy and convergence rates of the two methods. A detailed analysis of the radiation problem when the spheres are in contact is given in an Appendix.</p>}},
  author       = {{Morfey, C. L. and Garcia-Bonito, J. and Peplow, A. T.}},
  issn         = {{0001-7884}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{701--711}},
  publisher    = {{S. Hirzel Verlag GmbH}},
  series       = {{Acustica}},
  title        = {{Acoustic Radiation from a Pair of Spheres}},
  volume       = {{84}},
  year         = {{1998}},
}