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TECHNICAL PAPERS: Gas Turbines: Combustion and Fuels

Acoustic Resonances of an Industrial Gas Turbine Combustion System

[+] Author and Article Information
S. Hubbard, A. P. Dowling

Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK

J. Eng. Gas Turbines Power 123(4), 766-773 (Oct 01, 2000) (8 pages) doi:10.1115/1.1370975 History: Received October 01, 1999; Revised October 01, 2000
Copyright © 2001 by ASME
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References

Rayleigh, Lord, 1896, The Theory of Sound, Macmillan, London.
Hubbard S., and Dowling, A. P., 1998, “Acoustic Instabilities in Premix Burners,” Paper No. AIAA 98-2272.
Dowling, A. P., and Hubbard, S., 2000, “Instability in Lean Premixed Combustors,” Proceedings Institution Mechanical Engineers, Part A, Journal of Power and Energy, 214 , pp. 317–332.
Lieuwen, T., and Zinn, B., 1998, “The Role of Equivalence Ratio Oscillations in Driving Combustion Instabilities in Low Nox Gas Turbines,” Proc. 27th International Symposium on Combustion.
Schuermans, B., Polifke, W., and Paschereit, C., 1999, “Modelling Transfer Matrices of Premixed Flames and Comparison With Experimental Result,” ASME Paper No. 99-GT-132.
Dowling, A. P., and Ffowcs Williams, J. E., 1983, Sound and Sources of Sound. Ellis Horwood, London.
Marble,  F. E., and Candel,  S. M., 1977, “Acoustic Disturbances From Gas Non-Uniformities Convected Through a Nozzle,” J. Sound Vib., 55, No. 2, pp. 225–243.
Abu-Off, G. M., and Cant, R. S., 1996, “Reaction Rate Modelling for Premixed Turbulent Methane-Air Flames,” Proceedings of the Joint Meeting of Spanish, Portuguese, Swedish and British Sections of the Combustion Institute, Madeira.
Dowling,  A. P., 1999, “A Kinematic Model of a Ducted Flame,” J. Fluid Mech., 394, pp. 51–72.
Cummings,  A., 1983, “Acoustic Nonlinearities and Power Losses at Orifices,” AIAA J., 22, pp. 786–792.

Figures

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Schematic of wave amplitudes, and the sections of the gas turbine
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Frequencies of oscillation, fixed flame model; –stable, [[dashed_line]]unstable
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Frequencies of oscillation, fixed flame model with entropy diffusion; –stable, [[dashed_line]]unstable
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Frequencies of oscillation, derived flame model with entropy diffusion; –stable, [[dashed_line]]unstable
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Pressure mode shape, derived flame model with entropy diffusion
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Frequencies of oscillation and their growth rates, with a Helmholtz resonator, for flame model derived in Section 5, with entropy diffusion before combustor exit. Combustor temperature of 2000 K. Neck SPL=169 db,o:r0=0 mm,x:r0=5,10,20, 50 mm, +:r0=100 mm.
Grahic Jump Location
Frequencies of oscillation with a Helmholtz resonator connected to the plenum, derived flame model with entropy diffusion –stable, [[dashed_line]]unstable
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Frequencies of oscillation, fluctuating fuel supply. Derived flame model with diffused entropy, at a combustor temperature of 1900 K.

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