A thermoviscous tube propagation model suitable for time domain analysis

Stephen C. Thompson, Thomas B. Gabrielson, Daniel M. Warren

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


Modeling acoustic propagation in tubes including the effects of thermoviscous losses at the tube walls is important in thermoacoustics, in hearing aid modeling and in modeling wind musical instruments. Frequency dependent impedances for a tube transmission line model in terms of the so-called thermal and viscous functions are well established, and form the basis for frequency domain analysis of systems that include tubes. However, frequency domain models cannot be used for systems in which significant nonlinearities are important, as is the case with the pressure-flow relationship through the reed in a woodwind instrument. This paper describes a tube model based on a continued fraction expansion of the thermal and viscous functions. The expansion can be represented as an analog circuit model which allows its use in time domain system modeling. A simple model of a clarinet-like oscillation will be shown.

Original languageEnglish (US)
Article number035064
JournalProceedings of Meetings on Acoustics
StatePublished - 2013
Event21st International Congress on Acoustics, ICA 2013 - 165th Meeting of the Acoustical Society of America - Montreal, QC, Canada
Duration: Jun 2 2013Jun 7 2013

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics


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