Aerodynamic sound generation in thermoviscous fluids: A canonical problem revisited
Aerodynamic sound generation in thermoviscous fluids: A canonical problem revisited
Although the Lighthill–Curle acoustic analogy theory is formally exact, the presence of linear source terms related to viscous stresses and non-isentropic density changes makes it unsuitable for studying aerodynamic sound generation in low Reynolds number thermoviscous flows. Here we use an extension of the Ffowcs Williams and Hawkings formulation, with thermoviscous effects explicitly included, to find an analytical solution to the canonical problem of sound radiation from a circular cylinder immersed in a viscous heat-conducting fluid and rotating sinusoidally about its axis. Existing published solutions are compared and an earlier null result is explained. The new analysis reveals the dominant source of sound at low Mach numbers to be unsteady viscous dissipation rather than Reynolds-stress quadrupoles, unless the fluid parameter B=αc 2/c p is zero.
Aeroacoustics theory, Green's functions, Low Reynolds number flows, Unsteady dissipation
Morfey, C.L.
ed145a54-775d-49c9-930b-2c0a430a2602
Sorokin, S.V.
e6a8aaea-0e90-4376-a3cf-20f1622e2ec1
Wright, Matthew C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
24 October 2022
Morfey, C.L.
ed145a54-775d-49c9-930b-2c0a430a2602
Sorokin, S.V.
e6a8aaea-0e90-4376-a3cf-20f1622e2ec1
Wright, Matthew C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
Morfey, C.L., Sorokin, S.V. and Wright, Matthew C.M.
(2022)
Aerodynamic sound generation in thermoviscous fluids: A canonical problem revisited.
Journal of Sound and Vibration, 539, [117253].
(doi:10.1016/j.jsv.2022.117253).
Abstract
Although the Lighthill–Curle acoustic analogy theory is formally exact, the presence of linear source terms related to viscous stresses and non-isentropic density changes makes it unsuitable for studying aerodynamic sound generation in low Reynolds number thermoviscous flows. Here we use an extension of the Ffowcs Williams and Hawkings formulation, with thermoviscous effects explicitly included, to find an analytical solution to the canonical problem of sound radiation from a circular cylinder immersed in a viscous heat-conducting fluid and rotating sinusoidally about its axis. Existing published solutions are compared and an earlier null result is explained. The new analysis reveals the dominant source of sound at low Mach numbers to be unsteady viscous dissipation rather than Reynolds-stress quadrupoles, unless the fluid parameter B=αc 2/c p is zero.
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Lauvstad paradox revised
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Accepted/In Press date: 18 August 2022
e-pub ahead of print date: 24 August 2022
Published date: 24 October 2022
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Funding Information:
This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. The authors are grateful for the anonymous reviewers’ helpful comments.
Publisher Copyright:
© 2022
Keywords:
Aeroacoustics theory, Green's functions, Low Reynolds number flows, Unsteady dissipation
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Local EPrints ID: 469933
URI: http://eprints.soton.ac.uk/id/eprint/469933
ISSN: 0022-460X
PURE UUID: fb97a5e7-960b-4534-ac1c-f2527212170f
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Date deposited: 28 Sep 2022 17:14
Last modified: 17 Mar 2024 07:30
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Author:
C.L. Morfey
Author:
S.V. Sorokin
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