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TECHNICAL PAPERS: Gas Turbines: Combustion and Fuel

The Use of Helmholtz Resonators in a Practical Combustor

[+] Author and Article Information
Iain D. J. Dupère, Ann P. Dowling

Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom

J. Eng. Gas Turbines Power 127(2), 268-275 (Apr 15, 2005) (8 pages) doi:10.1115/1.1806838 History: Received October 01, 2002; Revised March 01, 2003; Online April 15, 2005
Copyright © 2005 by ASME
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References

Bellucci, V., Flohr, P., Paschereit, C. O., and Magni, F., 2001, “On the use of Helmholtz Resonators fo Damping Acoustic Pulsations in Industrial Gas Turbines,” Technical Report 2001-GT-0039, ASME TURBO EXPO 2001, June 4–7, 2001, New Orleans, LA.
Doria,  A., 2000, “A Simple Method for the Analysis of Deep Cavity and Long Neck Acoustic Resonators,” J. Sound Vib., 232(4), pp. 823–833.
Gysling,  D. L., Copeland,  G. S., McCormick,  D. C., and Prosnia,  W. M., 2000, “Combustion System Damping Augmentation With Helmholtz Resonators,” ASME J. Eng. Gas Turbines Power, 122, pp. 269–274.
Selamet,  A., Dickey,  N. S., and Novak,  J. M., 1995, “Theoretical, Computational and Experimental Investigation of Helmholtz Resonators With Fixed Volume: Lumped Versus Distributed Analysis,” J. Sound Vib., 187(2), pp. 358–367.
Selamet,  A., Radavich,  P. M., Dickey,  N. S., and Novak,  J. M., 1997, “Circular Concentric Helmholtz Resonators,” J. Acoust. Soc. Am., 101(1), pp. 41–51.
Walker,  B. E., and Charwat,  A. F., 1982, “Correlation of the Effects of Grazing Flow on the Impedance of Helmholtz Resonators,” J. Acoust. Soc. Am., 72(2), pp. 550–555.
Cummings,  A., 1984, “Acoustic Nonlinearities and Power Losses at Orifices,” AIAA J., 22, pp. 786–792.
Dowling, A. P., and Ffowcs Williams, J. E., 1983, Sound and Sources of Sound, Ellis Horwood, Chichester, UK.
Howe,  M. S., 1979, “On the Theory of Unsteady High Reynolds Number Flow Through a Circular Aperture,” Proc. R. Soc. London, Ser. A, 366, pp. 205–223.
Howe,  M. S., 1996, “The Influence of Tangential Mean Flow on the Rayleigh Conductivity of an Aperture,” Proc. R. Soc. London, Ser. A, 452, pp. 2303–2317.
Chanaud,  R. C., 1994, “Effects of Geometry on the Resonance Frequency of Helmholtz Resonators,” J. Sound Vib., 178(3), pp. 337–348.
Chanaud,  R. C., 1997, “Effects of Geometry on the Resonance Frequency of Helmholtz Resonators. Part ii,” J. Sound Vib., 204(5), pp. 829–834.
Jungowski,  W. M., and Grabitz,  G., 1987, “Self-Sustained Oscillation of a Jet Impinging Upon a Helmholtz Resonator,” J. Fluid Mech., 179, pp. 77–103.
Khosropour,  R., and Millet,  P., 1990, “Excitation of a Helmholtz Resonator by an Air Jet,” J. Acoust. Soc. Am., 88(3), pp. 1211–1221.
Meissner,  M., 1987, “Self-Sustained Deep Cavity Oscillations Induced by Grazing Flow,” Acustica, 62, pp. 220–228.
Nelson,  P. A., Halliwell,  N. A., and Doak,  P. E., 1981, “Fluid Dynamics of a Flow Excited Resonance. Part I: Experiment,” J. Sound Vib., 78(1), pp. 15–38.
Nelson,  P. A., Halliwell,  N. A., and Doak,  P. E., 1983, “Fluid Dynamics of a Flow Excited Resonance. Part II: Flow Acoustic Interaction,” J. Sound Vib., 91(3), pp. 375–402.
Dupère, I. D. J., and Dowling, A. P., 2002, “The Absorption of Sound by Helmholtz Resonators With and Without Flow,” Technical Report 2002–2590, 8th AIAA/CEAS Aeroacoustics Conference, June 17–19, 2002, Breckenridge, CO.
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Figures

Grahic Jump Location
Experimental rig used for high amplitude incident waves, with and without mean flow
Grahic Jump Location
An illustration of a real Helmholtz resonator attached to a pipe
Grahic Jump Location
Comparison between the measured and predicted absorption coefficient as a function of frequency for an incident sound pressure amplitude of 165 dB with a closed end. + experimental measurement, ——— theory.
Grahic Jump Location
Comparison between the measured and predicted absorption coefficient as a function of frequency for an incident sound pressure amplitude of 170 dB with an open end. + experimental measurements, ——— theory.
Grahic Jump Location
The predicted absorption coefficient as a function of frequency for a range of incident sound pressure amplitudes from 120 to 185 dB with increments of 5 dB. The lowest graph is for 120 dB.
Grahic Jump Location
The variation of acoustic absorption coefficient with frequency for a Helmholtz resonator with a sound pressure level at the neck opening of 155 dB and in the presence of a mean pipe flow Mach number of 0.04. ——— theory, ∘ ⋯ 145 dB, ×–⋅– 150 dB, + ——— – 155 dB.
Grahic Jump Location
A graph showing the variation of absorption coefficient with frequency for three different mean aperture velocities, for a practical Helmholtz resonator with a finite neck length
Grahic Jump Location
An illustration of a side-branch resonator with an arbitrary base attached to a pipe

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