A Numerical and Experimental Investigation of the Dissipation Mechanisms of Resonant Acoustic Liners

Tam, Christopher K. W.; Kurbatskii, Konstantin A.; Ahuja, K. K.; Gaeta, Richard

doi:10.1006/jsvi.2001.3571

Cited by 144 publications

(42 citation statements)

References 12 publications

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“…which is in exact agreement with the asymptotic behaviour for = 1 + ε , large, corresponding to the linear solution (14). In fact, by tracing the solution parametrically as a function of , we can see that if we start with θ 0 = 0 for → −∞, we end with θ 0 = π for → ∞.…”

Section: Time-domain Solutionsupporting

confidence: 81%

A systematic impedance model for non-linear Helmholtz resonator liner

Singh

Rienstra

2013

19th AIAA/CEAS Aeroacoustics Conference

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The usual non-linear corrections for a Helmholtz resonator type impedance do not seem to be based on a systematic asymptotic solution of the pertaining equations. We aim to present a systematic derivation of a solution of the non-linear Helmholtz resonator equation, in order to obtain analytically expressions for impedances close to resonance, while including non-linear effects. The amplitude regime considered is such that when we stay away from the resonance condition, the non-linear terms are relatively small and the solution obtained is of the linear equation (formed after neglecting the non-linear terms). Close to the resonance frequency, the non-linear terms can no longer be neglected and algebraic equations are obtained that describe the corresponding non-linear impedance.

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Section: Time-domain Solutionsupporting

confidence: 81%

A systematic impedance model for non-linear Helmholtz resonator liner

Singh

Rienstra

2013

19th AIAA/CEAS Aeroacoustics Conference

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“…Note that sound absorption occurs with and without mean flow through the aperture. In absence of mean flow through the aperture, the interaction is non-linear, the shear layer being created by the acoustic perturbation itself (Cummings and Eversman, 1983;Tam et al, 2001).…”

Section: Reference Data: Impedance Models and Reference Experimental mentioning

confidence: 99%

“…Moreover, it has been demonstrated, both analytically (Howe, 1979(Howe, , 1998, experimentally (Hughes and Dowling, 1990;Eldredge and Dowling, 2003;Tran et al, 2007) and numerically (Eldredge et al, 2007;Dassé et al, 2008) that perforated plates have a damping effect on incident acoustic waves and thus potentially on combustion instabilities. The sound attenuation mechanism consists in the conversion of acoustic energy into vortical energy (Bechert, 1979;Howe, 1979;Tam et al, 2001): incident waves interact with the shear layers formed at the apertures rims; subjected to pressure fluctuations, the shear layers destabilize to form vortex rings. The vortices are then dissipated with insignificant broadband sound production.…”

Section: Introduction and Objectivesmentioning

confidence: 99%

Acoustic modeling of perforated plates with bias flow for Large-Eddy Simulations

Mendez

Eldredge

2009

Journal of Computational Physics

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The study of the acoustic effect of perforated plates by Large-Eddy Simulations is reported. The ability of compressible Large-Eddy Simulations to provide data on the flow around a perforated plate and the associated acoustic damping is demonstrated. In particular, assumptions of existing models of the acoustic effect of perforated plate are assessed thanks to the Large-Eddy Simulations results. The question of modeling the effect of perforated plates is then addressed in the context of thermoacoustic instabilities of gas turbine combustion chambers. Details are provided about the implementation, validation and application of a homogeneous boundary condition modeling the acoustic effect of perforated plates for compressible Large-Eddy Simulations of the flow in combustions chambers cooled by full-coverage film cooling.

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“…In contrast, the properties of the Helmholtz resonator have been obtained from the full equations in [6][7][8][9][10]16,17] but these are all fully CFD, DNS or LES simulations which do not give information for the simpler models.…”

Section: Introductionmentioning

confidence: 99%