An acoustic finite element including viscothermal effects

M.J.J. Nijhof, Y.H. Wijnant, A. de Boer

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

10 Citations (Scopus)
27 Downloads (Pure)


In acoustics it is generally assumed that viscous- en thermal boundary layer effects play a minor role in the propagation of sound waves. Hence, these effects are neglected in the basic set of equations describing the sound field. However, for geometries that include small confinements of air or thin air layers, this assumption is not valid. Special models that include viscous and thermal effects are available (for example the Low Reduced Frequency model) but only for a limited number of geometries. To overcome these limitations and provide a solution that can be used for arbitrary geometries, an acoustic finite (2D) element that includes viscous and thermal effects is developed. The model is based on the linearized Navier stokes equations (including shear), the equation of continuity, the equation of state for an ideal gas and the energy equation. The method of weighed residuals is used in combination with a mixed formulation of pressure, temperature and particle velocity degrees of freedom. The results of the developed element code are compared with the results of an existing (analytical) Low Reduced Frequency solution and a viscothermal element that was found in literature.
Original languageEnglish
Title of host publication14th International Congress of Sound and Vibration (ICSV14)
Subtitle of host publication9-12 July 2007, Cairns, Australia
Place of PublicationCairns, Australia
PublisherInternational Institute of Acoustics and Vibration (IIAV)
Number of pages8
ISBN (Print)978-0-7334-2516-5
Publication statusPublished - 9 Jul 2007
Event14th International Congress on Sound and Vibration, ICSV 2007 - Cairns, Australia
Duration: 9 Jul 200712 Jul 2007
Conference number: 14


Conference14th International Congress on Sound and Vibration, ICSV 2007
Abbreviated titleICSV


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