Approximation formulae for the acoustic radiation impedance of a cylindrical pipe

F. Silva, Ph Guillemain, J. Kergomard, B. Mallaroni, A. N. Norris

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The expressions guarantee that simple but necessary physical and mathematical principles are met, like Hermitian symmetry for the reflection coefficient (identical behaviour of positive and negative frequencies) and causality for the impulse response. A non-causal but more accurate expression is also proposed that is suitable for frequency-domain applications. The formulae are obtained by analytical and numerical fitting to reference results from Levine and Schwinger for the unflanged case and extracted from the radiation impedance matrix given by Zorumski for the infinite flanged case.

Original languageEnglish (US)
Pages (from-to)255-263
Number of pages9
JournalJournal of Sound and Vibration
Volume322
Issue number1-2
DOIs
StatePublished - Apr 24 2009

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Acoustic impedance
sound waves
Acoustics
Pipe
impedance
reflectance
Radiation
radiation
Impulse response
approximation
ducts
Ducts
impulses
symmetry
matrices

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Silva, F. ; Guillemain, Ph ; Kergomard, J. ; Mallaroni, B. ; Norris, A. N. / Approximation formulae for the acoustic radiation impedance of a cylindrical pipe. In: Journal of Sound and Vibration. 2009 ; Vol. 322, No. 1-2. pp. 255-263.
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Approximation formulae for the acoustic radiation impedance of a cylindrical pipe. / Silva, F.; Guillemain, Ph; Kergomard, J.; Mallaroni, B.; Norris, A. N.

In: Journal of Sound and Vibration, Vol. 322, No. 1-2, 24.04.2009, p. 255-263.

Research output: Contribution to journalArticle

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