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Nonlinear acoustics in a viscothermal boundary layer over an acoustic lining

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Petrie, Owen and Brambley, Edward J. (James) (2020) Nonlinear acoustics in a viscothermal boundary layer over an acoustic lining. AIAA Journal, 58 (2). pp. 673-686. doi:10.2514/1.J058180 ISSN 0001-1452.

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Official URL: https://doi.org/10.2514/1.J058180

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Abstract

Sound within aircraft engines can be 120dB-160dB, pushing the validity of linearized governing equations. Moreover, some components of sound within a visco-thermal mean flow boundary layer over an acoustic lining may be amplified by a factor of ~100 (~40dB) in a typical aircraft engine compared with the sound outside the boundary layer, which may be expected to trigger nonlinear effects within the boundary layer. This is in addition to the well-known nonlinear effects within the holes of the perforated lining facing sheet. This paper presents a mathematical investigation into the effects of weak nonlinearity on the acoustics within a thin parallel mean flow boundary layer in flow over an acoustic lining in a cylindrical duct. (This is the first investigation of nonlinear acoustics in a boundary layer flow over a non-rigid surface, to our knowledge.) The analysis combines the effects of sheared mean flow, viscosity, and nonlinearity into an effective impedance boundary condition. In certain cases, a surprisingly large acoustic streaming effect is found that escapes the mean flow boundary layer and pervades well out into the interior of the duct.

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, Engineering and Medicine > Science > Mathematics
Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group)
Library of Congress Subject Headings (LCSH): Nonlinear acoustics, Aeroacoustics, Boundary layer, Acoustical engineering
Journal or Publication Title: AIAA Journal
Publisher: American Institute of Aeronautical and Astronautics
ISSN: 0001-1452
Official Date: February 2020
Dates:
DateEvent
February 2020Published
28 October 2019Available
12 September 2019Accepted
Volume: 58
Number: 2
Page Range: pp. 673-686
DOI: 10.2514/1.J058180
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: Copyright © 2019 by the American Institute of Aeronautics and Astronautics
Date of first compliant deposit: 18 September 2019
Date of first compliant Open Access: 19 November 2019
Funder: Royal Society, Trinity College, Cambridge
Grant number: UF150695
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDTrinity College, University of Cambridgehttp://dx.doi.org/10.13039/501100000727
UF150695[RS] Royal Societyhttp://dx.doi.org/10.13039/501100000288

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