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TECHNICAL PAPERS: Gas Turbines: Combustion and Fuel

Measurement of Transfer Matrices and Source Terms of Premixed Flames

[+] Author and Article Information
C. O. Paschereit, B. Schuermans, W. Polifke, O. Mattson

ALSTOM (Switzerland) Ltd., 5405 Baden, Switzerland

J. Eng. Gas Turbines Power 124(2), 239-247 (Mar 26, 2002) (9 pages) doi:10.1115/1.1383255 History: Received October 01, 1998; Revised March 01, 1999; Online March 26, 2002
Copyright © 2002 by ASME
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References

Rann,  R. L., Beckstead,  M. W., Finlinson,  J. C., and Brooks,  K. P., 1993, “A Review of Rijke Tubes, Rijke Burners and Related Devices,” Prog. Energy Combust. Sci., 19, pp. 313–364.
Rayleigh,  J. W. S., 1878, Nature (London), 18.
Keller,  J. J., 1995, “Thermoacoustic Oscillations in Combustion Chambers of Gas Turbines,” AIAA J., 33, No. 12
Polifke,  W., Paschereit,  C. O., and Sattelmayer,  T., 1997, “A Universally Applicable Stability Criterion for Complex Thermoacoustic Systems,” VDI-Ber., pp. 455–460.
Munjal, M. L., 1986, Acoustics of Ducts and Mufflers, John Wiley and Sons, New York.
Cremer,  L., 1971, “The Second Annual Fairy Lecture: The Treatment of Fans as Black Boxes,” J. Sound Vib., 16, pp. 1–15.
Bodén,  H., and Abom,  M., 1995, “Modelling of Fluid Machines as Sources of Sound in Duet and Pipe Systems,” Acta Acust. (Beijing), pp. 549–560.
Lavrentjev,  J., and Äbom,  M., 1996, “Characterization of Fluid Machines as Acoustic Multi-port Sources,” J. Sound Vib., 197, pp. 1–16.
Abom,  M., 1992, “A note on the Experimental Determination of Acoustical Two Port Matrices,” J. Sound Vib., 155, pp. 185–188.
Abom, M., Bodén, H., and Lavrentjev, J., 1992, “Source Characterization of Fans Using Acoustic 2-Port Models,” Proceedings of Fan Noise Symposium, CETIM, France.
Paschereit, C. O., and Polifke, W., 1997, “Characterization of Len Premixed Gas-Turbine Burners as Acoustic Multi-ports,” Bulletin of the American Physical Society/Division of Fluid Dynamics, Annual Meeting, San Francisco, CA.
Paschereit,  C. O., Wygnanski,  I., and Fielder,  H. E., 1995, “Experimental Investigation of Subharmonic Resonance in an Axisymmetric Jet,” J. Fluid Mech., 283, pp. 365–407.
Schadow,  K. C., and Gutmark,  E., 1992, “Combustion Instability Related to Vortex Shedding in Dump Combustors and Their Passive Control,” Prog. Energy Combust. Sci., 8, pp. 17–132.
McManus,  K. R., Poinsot,  T., and Candel,  S. M., 1993, “A Review of Active Control of Combustion Instabilities,” Prog. Energy Combust. Sci., 19, pp. 1–29.
Paschereit, C. O., Gutmark, E., and Weisenstein, W., 1998, “Control of Thermoacoustic Instabilities and Emissions in an Industrial Type Gas-Turbine Combustor,” 27th International Symposium on Combustion, The Combustion Institute, Pittsburgh, PA, Aug. 2–7.
Paschereit, C. O., Gutmark, E., and Weisenstein, W., 1998, “Flow-Acoustic Interactions as a Driving Mechanism for Thermoacoustic Instabilities,” 4th AIAA/CEAS Aeroacoustics Conference, Toulouse, France, June 2–4.
Paschereit, C. O., Gutmark, E., and Weisenstein, W., 1996, “Role of Coherent Structures in Acoustic Combustion Control,” 29th AIAA Fluid Dynamics Conference, Albuquerque, NM, June 15–18.
Paschereit, C. O., Gutmark, E., and Weisenstein, W., 1998, “Structure and Control of Thermoacoustic Instabilities in a Gas-Turbine Combustor,” 36th AIAA Aerospace Science Meeting and Exhibit, Reno, NV, Jan. 12–15.
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Janus, M. C., and Richards, G. A., 1996, “Results of a Model for Premixed Combustion Oscillations,” Proceedings of the 1996 AFRC International Symposium, Baltimore, MD, Sept. 30–Oct. 2.
Paschereit, C. O., and Polifke, W., 1998, “Investigation of the Thermoacoustic Characteristics of a Lean Premixed Gas Turbine Burner,” ASME Turbo Expo ’98, Stockholm, Sweden, June 2–5.

Figures

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Noise generation in combustors
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Example of modeling the combustor as a network of acoustic elements
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Acoustic elements relating Riemann-invariants or pressure and velocity fluctuatins of both sides of the element
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A burner modeled as an acoustic one-port
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A burner modeled as an acoustic two-port
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Representation of the flame as a sound source
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Experimental arrangement of the combustor
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Different contributions to the measured signal
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Coherence function Γxy between excitation signal and a microphone downstream of the burner for three different test states
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The transfer matrix of the burner/flame including the source term. Solid line: absolute value; dashed line: phase.
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The source term of the flame. Solid line: absolute value; dashed line: phase.
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Incident wave components fu (upstream of the burner) and gd (downstream of the burner). Forcing was from the upstream and downstream of the burner simultaneously.
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The transfer matrix of the flame without source term. Solid line: absolute value; dashed line: phase.

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