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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 ISSN 0022-1120.
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Official URL: http://dx.doi.org/10.1017/jfm.2016.273
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 | ||||||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) |
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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: |
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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: |
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