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The impedance boundary condition for acoustics in swirling ducted flow

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Masson, Vianney , Mathews, James , Moreau, Stéphane, Posson , Hélène and Brambley, Edward J. (James) (2018) The impedance boundary condition for acoustics in swirling ducted flow. Journal of Fluid Mechanics, 849 . pp. 645-675. doi:10.1017/jfm.2018.429

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Official URL: https://doi.org/10.1017/jfm.2018.429

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Abstract

The acoustics of a straight annular lined duct containing a swirling mean flow is considered. The classical Ingard–Myers impedance boundary condition is shown not to be correct for swirling flow. By considering behaviour within the thin boundary layers at the duct walls, the correct impedance boundary condition for an infinitely thin boundary layer with swirl is derived, which reduces to the Ingard–Myers condition when the swirl is set to zero. The correct boundary condition contains a spring-like term due to centrifugal acceleration at the walls, and consequently has a different sign at the inner (hub) and outer (tip) walls. Examples are given for mean flows relevant to the interstage region of aeroengines. Surface waves in swirling flows are also considered, and are shown to obey a more complicated dispersion relation than for non-swirling flows. The stability of the surface waves is also investigated, and as in the non-swirling case, one unstable surface wave per wall is found.

Item Type: Journal Article
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics
Divisions: Faculty of Science > Mathematics
Faculty of Science > WMG (Formerly the Warwick Manufacturing Group)
Library of Congress Subject Headings (LCSH): Airplanes -- Turbojet engines, Jet planes -- Noise
Journal or Publication Title: Journal of Fluid Mechanics
Publisher: Cambridge University Press
ISSN: 0022-1120
Official Date: 25 August 2018
Dates:
DateEvent
25 August 2018Published
21 June 2018Available
11 May 2018Accepted
Volume: 849
Page Range: pp. 645-675
DOI: 10.1017/jfm.2018.429
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
604999Seventh Framework Programmehttp://dx.doi.org/10.13039/100011102
UNSPECIFIEDAirbushttp://dx.doi.org/10.13039/501100003204
ANR-10-LABX-0060[ANR] Agence Nationale de la Recherchehttp://dx.doi.org/10.13039/501100001665
ANR-11-IDEX-0007[ANR] Agence Nationale de la Recherchehttp://dx.doi.org/10.13039/501100001665
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