An Axisymmetrical Acoustic BEM Formulation Including Visco-Thermal Losses

Vicente Cutanda Henriquez, Peter Møller Juhl

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskning

Resumé

Sound waves in air experience losses due to viscous friction and thermal exchange, which become particularly relevant in a thin boundary layer over the domain boundaries. The lossless wave equation can still be used when the thickness of the boundary layer is small as compared with the setup dimensions. However, this is not usually true for small devices such as microphones, hearing aids, couplers, MEMS devices, mobile phones, etc., and then the losses need to be modeled. In this paper a numerical implementation of the Boundary Element Method (BEM) which includes visco-thermal losses is presented. The formulation is based on the Kirchoff method, where acoustic, thermal and viscous effects are decoupled everywhere except at the boundaries. This BEM formulation does not impose geometrical restrictions to the setup and can be applied to any axisymmetrical object, as long as the division of the boundary into elements is adequate and the problem has a manageable size. The method can be extended to full three-dimensional BEM.
OriginalsprogEngelsk
TitelProceedings of Forum Acusticum 2011
Antal sider6
Udgivelses stedAalborg
ForlagEuropean Acoustics Association
Publikationsdatojun. 2011
ISBN (Elektronisk)978-84-694-1520-7
StatusUdgivet - jun. 2011
BegivenhedForum Acusticum 2011 - Aalborg, Danmark
Varighed: 27. jun. 20111. jul. 2011

Konference

KonferenceForum Acusticum 2011
LandDanmark
ByAalborg
Periode27/06/201101/07/2011
NavnForum Acusticum
Vol/bind6

Fingeraftryk

boundary element method
formulations
acoustics
boundary layers
hearing
microphones
sound waves
couplers
wave equations
division
microelectromechanical systems
temperature effects
constrictions
friction
air

Citer dette

Cutanda Henriquez, V., & Juhl, P. M. (2011). An Axisymmetrical Acoustic BEM Formulation Including Visco-Thermal Losses. I Proceedings of Forum Acusticum 2011 Aalborg: European Acoustics Association. Forum Acusticum, Bind. 6
Cutanda Henriquez, Vicente ; Juhl, Peter Møller. / An Axisymmetrical Acoustic BEM Formulation Including Visco-Thermal Losses. Proceedings of Forum Acusticum 2011. Aalborg : European Acoustics Association, 2011. (Forum Acusticum, Bind 6).
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abstract = "Sound waves in air experience losses due to viscous friction and thermal exchange, which become particularly relevant in a thin boundary layer over the domain boundaries. The lossless wave equation can still be used when the thickness of the boundary layer is small as compared with the setup dimensions. However, this is not usually true for small devices such as microphones, hearing aids, couplers, MEMS devices, mobile phones, etc., and then the losses need to be modeled. In this paper a numerical implementation of the Boundary Element Method (BEM) which includes visco-thermal losses is presented. The formulation is based on the Kirchoff method, where acoustic, thermal and viscous effects are decoupled everywhere except at the boundaries. This BEM formulation does not impose geometrical restrictions to the setup and can be applied to any axisymmetrical object, as long as the division of the boundary into elements is adequate and the problem has a manageable size. The method can be extended to full three-dimensional BEM.",
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Cutanda Henriquez, V & Juhl, PM 2011, An Axisymmetrical Acoustic BEM Formulation Including Visco-Thermal Losses. i Proceedings of Forum Acusticum 2011. European Acoustics Association, Aalborg, Forum Acusticum, bind 6, Forum Acusticum 2011, Aalborg, Danmark, 27/06/2011.

An Axisymmetrical Acoustic BEM Formulation Including Visco-Thermal Losses. / Cutanda Henriquez, Vicente; Juhl, Peter Møller.

Proceedings of Forum Acusticum 2011. Aalborg : European Acoustics Association, 2011. (Forum Acusticum, Bind 6).

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskning

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Cutanda Henriquez V, Juhl PM. An Axisymmetrical Acoustic BEM Formulation Including Visco-Thermal Losses. I Proceedings of Forum Acusticum 2011. Aalborg: European Acoustics Association. 2011. (Forum Acusticum, Bind 6).