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Acoustic boundary conditions at an impedance lining in inviscid shear flow

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Khamis, Doran and Brambley, Edward J. (James) (2016) Acoustic boundary conditions at an impedance lining in inviscid shear flow. Journal of Fluid Mechanics, 796 . pp. 386-416. doi:10.1017/jfm.2016.273

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Official URL: http://dx.doi.org/10.1017/jfm.2016.273

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Abstract

The accuracy of existing impedance boundary conditions is investigated, and new impedance boundary conditions are derived, for lined ducts with inviscid shear flow. The accuracy of the Ingard–Myers boundary condition is found to be poor. Matched asymptotic expansions are used to derive a boundary condition accurate to second order in the boundary layer thickness, which shows substantially increased accuracy for thin boundary layers when compared with both the Ingard–Myers boundary condition and its recent first-order correction. Closed-form approximate boundary conditions are also derived using a single Runge–Kutta step to solve an impedance Ricatti equation, leading to a boundary condition that performs reasonably even for thicker boundary layers. Surface modes and temporal stability are also investigated.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Science > Mathematics
Faculty of Science > WMG (Formerly the Warwick Manufacturing Group)
Library of Congress Subject Headings (LCSH): Acoustic impedance, Boundary layer control, Shear flow, Inviscid flow
Journal or Publication Title: Journal of Fluid Mechanics
Publisher: Cambridge University Press
ISSN: 0022-1120
Official Date: 10 June 2016
Dates:
DateEvent
10 June 2016Published
4 May 2016Available
13 April 2016Accepted
Volume: 796
Page Range: pp. 386-416
DOI: 10.1017/jfm.2016.273
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Engineering and Physical Sciences Research Council (EPSRC)
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDRoyal Societyhttp://dx.doi.org/10.13039/501100000288
UNSPECIFIEDGonville and Caius College, University of Cambridgehttp://dx.doi.org/10.13039/501100000622
UNSPECIFIEDEngineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266

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