The Webster equation revisited

Sjoerd W. Rienstra

doi:10.2514/6.2002-2520

The Webster equation revisited

Sjoerd W. Rienstra

Center for Analysis, Scientific Computing and Applications

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

5 Citations (Scopus)

Abstract

The problem of low-frequency sound propagation in slowly varying ducts is systematically analysed as a perturbation problem of slow variation. The Webster equation and some variants are derived, and the entrance/exit plane boundary layer is given. It is shown why a varying lined duct in general does not have a solution.

Original language	English
Title of host publication	8th AIAA/CEAS Aeroacoustics Conference and Exhibit
Publisher	American Institute of Aeronautics and Astronautics Inc. (AIAA)
ISBN (Print)	9781624101199
DOIs	https://doi.org/10.2514/6.2002-2520
Publication status	Published - 2002
Event	8th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2002 - Breckenridge, CO, United States Duration: 17 Jun 2002 → 19 Jun 2002

Conference

Conference	8th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2002
Country/Territory	United States
City	Breckenridge, CO
Period	17/06/02 → 19/06/02

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title = "The Webster equation revisited",

abstract = "The problem of low-frequency sound propagation in slowly varying ducts is systematically analysed as a perturbation problem of slow variation. The Webster equation and some variants are derived, and the entrance/exit plane boundary layer is given. It is shown why a varying lined duct in general does not have a solution.",

author = "Rienstra, {Sjoerd W.}",

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booktitle = "8th AIAA/CEAS Aeroacoustics Conference and Exhibit",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

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AB - The problem of low-frequency sound propagation in slowly varying ducts is systematically analysed as a perturbation problem of slow variation. The Webster equation and some variants are derived, and the entrance/exit plane boundary layer is given. It is shown why a varying lined duct in general does not have a solution.

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DO - 10.2514/6.2002-2520

M3 - Conference contribution

AN - SCOPUS:85088758188

SN - 9781624101199

BT - 8th AIAA/CEAS Aeroacoustics Conference and Exhibit

PB - American Institute of Aeronautics and Astronautics Inc. (AIAA)

T2 - 8th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2002

Y2 - 17 June 2002 through 19 June 2002

ER -

The Webster equation revisited

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