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Revisiting the cremer impedance
KTH Royal Institute of Technology, Sweden.
KTH Royal Institute of Technology, Sweden.
Linnaeus University, Faculty of Technology, Department of Mathematics.
KTH Royal Institute of Technology, Sweden.
2017 (English)In: Proceedings of Meetings on Acoustics, Acoustical Society of America (ASA), 2017, no 1, article id 040009Conference paper, Published paper (Refereed)
Abstract [en]

In a classical paper (Acustica 3, 1953) Cremer demonstrated that in a rectangular duct, with locally reacting walls, there exits an impedance (”the Cremer impedance”) that maximizes the propagational damping for the lowest mode. Later (JSV 28, 1973) Tester extended the analysis to include a plug flow and ducts of both circular and rectangular cross-section. One limitation in the work of Tester is that it simplified the analysis of the effect of flow only considering high frequencies or well cut-on modes. This approximation is reasonable for large duct applications, e.g., aero-engines, but not for many other cases of interest. Kabral et al. (Acta Acustica united with Acustica 102, 2016) removed this limitation and investigated the’exact’ Cremer impedance for circular ducts including flow effects. As demonstrated in that paper the exact solution exhibits some special properties at low frequencies, e.g., a negative real part of the wall impedance. In this paper the exact Cremer impedance is further analyzed and discussed. Also, the exact solution for rectangular ducts is presented. © 2017 Acoustical Society of America.

Place, publisher, year, edition, pages
Acoustical Society of America (ASA), 2017. no 1, article id 040009
Keywords [en]
Acoustic impedance, Acoustics, Aircraft engines, Circular and rectangular cross-section, Circular ducts, Exact solution, Flow effects, High frequency HF, Rectangular ducts, Special properties, Wall impedance, Ducts
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-84322DOI: 10.1121/2.0000619Scopus ID: 2-s2.0-85049487496OAI: oai:DiVA.org:lnu-84322DiVA, id: diva2:1323103
Conference
173rd Meeting of Acoustical Society of America, Acoustics 2017 and 8th Forum Acusticum, 25 - 29 June 2017
Available from: 2019-06-11 Created: 2019-06-11 Last updated: 2019-06-13Bibliographically approved

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Nilsson, Börje

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
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  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
  • text
  • asciidoc
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