2010
DOI: 10.1016/j.proeng.2010.09.014
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Mean flow boundary layer effects of hydrodynamic instability of impedance wall

Abstract: The Ingard-Myers condition, modelling the effect of an impedance wall under a mean flow by assuming a vanishing boundary layer, is known to lead to an ill-posed problem in time-domain. By analysing the stability of a mean flow, uniform except for a linear boundary layer of thickness h, in the incompressible limit, we show that the flow is absolutely unstable for h smaller than a critical h c and convectively unstable or stable otherwise. This critical h c is by nature independent of wave length or frequency an… Show more

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Cited by 15 publications
(21 citation statements)
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“…Following the suggestion in [9], if we adjust d in Eqs. (12) and (13) so that the displacement thickness d 1 is the same for all three profiles, then the results are almost identical and the actual boundary layer profile has in fact very little impact on sound absorption. This conclusion was also observed with the other test cases listed in Table 1.…”
Section: Boundary Layer Profilesmentioning
confidence: 77%
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“…Following the suggestion in [9], if we adjust d in Eqs. (12) and (13) so that the displacement thickness d 1 is the same for all three profiles, then the results are almost identical and the actual boundary layer profile has in fact very little impact on sound absorption. This conclusion was also observed with the other test cases listed in Table 1.…”
Section: Boundary Layer Profilesmentioning
confidence: 77%
“…The boundary condition proposed by Rienstra and Darau [12,13] assumes a boundary layer with a small thickness d, a linear velocity profile and a uniform mean density. This two-dimensional boundary condition was derived in the incompressible limit and was devised to provide a good approximation of the hydrodynamic oscillations of the boundary layer (see also [15]).…”
Section: Brambleymentioning
confidence: 99%
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“…This paper is an adapted and extended version of the IUTAM 2010 Symposium on Computational Aero-Acoustics contribution (see Rienstra & Darau 2010).…”
Section: Acknowledgementsmentioning
confidence: 99%
“…Extensive research in the field of aircraft liners has been made and is still being carried out in order to better describe the effect of flow on the impedance boundary condition of the lining. Several competing models for the modified boundary condition have been proposed in this field [1][2][3][4][5][6] . The flow is shown to considerably alter the lining performance at high Mach number flows 7 , although the size of the effect differs between the models.…”
Section: Introductionmentioning
confidence: 99%