TECHNICAL PAPERS: Gas Turbines: Combustion and Fuel

Time Domain Simulation of Combustion Instabilities in Annular Combustors

[+] Author and Article Information
C. Pankiewitz, T. Sattelmayer

Lehrstuhl für Thermodynamik, Technische Universität München, 85747 Garching, Germany

J. Eng. Gas Turbines Power 125(3), 677-685 (Aug 15, 2003) (9 pages) doi:10.1115/1.1582496 History: Received December 01, 2001; Revised March 01, 2002; Online August 15, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Crocco, L., and Cheng, S. I., 1956, “Theory of Combustion Instability in Liquid Propellant Rocket Motors,” AGARD Monograph No. 8.
Sattelmayer,  T., 2003, “Influence of the Combustor Aerodynamics on Combustion Instabilities From Equivalence Ratio Fluctuations,” ASME J. Eng. Gas Turbines Power, 125, pp. 11–19.
Culick,  F. E. C., 1971, “Non-Linear Growth and Limiting Amplitude of Acoustic Oscillations in Combustion Chambers,” Combust. Sci. Technol., 3, pp. 1–16.
Culick,  F. E. C., 1994, “Some Recent Results for Nonlinear Acoustics in Combustion Chambers,” AIAA J., 32(1), pp. 146–169.
Peracchio, A. A., and Proscia, W. M., 1998, “Nonlinear Heat-Release/Acoustic Model for Thermoacoustic Instability in Lean Premix Combustors,” ASME Paper No. 98-GT-269.
Akamatsu, S., and Dowling, A. P., 2001, “Three Dimensional Thermoacoustic Oscillation in a Premix Combustor,” ASME Paper No. 2001-GT-0034.
Murota, T., and Ohtsuka, M., 1999, “Large-Eddy Simulation of Combustion Oscillation in the Premixed Combustor,” ASME Paper No. 99-GT-274.
Brookes, S. J., Cant, R. S., and Dowling, A. P., 1999, “Modelling Combustion Instabilities Using Computational Fluid Dynamics,” ASME Paper No. 99-GT-112.
Hantschk,  C.-C., and Vortmeyer,  D., 2002, “Numerical Simulation of Self-Excited Combustion Oscillations in a Non-Premixed Burner,” Combust. Sci. Technol., 174, pp. 189–204.
Wake, B. E., Choi, D., and Hendricks, G. J., 1996, “Numerical Investigation of Pre-Mixed Step-Combustor Instabilities,” AIAA Paper No. AIAA 96-0816.
Dowling,  A. P., 1997, “Nonlinear Self-Excited Oscillations of a Ducted Flame,” J. Fluid Mech., 346, pp. 271–290.
Walz, G., Krebs, W., Hoffmann, S., and Judith, H., 1999, “Detailed Analysis of the Acoustic Mode Shapes of an Annular Combustion Chamber,” ASME Paper No. 99-GT-113.
Walz, G., Krebs, W., Flohr, P., and Hoffmann, S., 2001, “Modal Analysis of Annular Combustors: Effect of Burner Impedance,” ASME Paper No. 2001-GT-0042.
Krüger, U., Hüren, J., Hoffmann, S., Krebs, W., and Bohn, D., 1999, “Prediction of Thermoacoustic Instabilities With Focus on the Dynamic Flame Behavior of the 3A-Series Gas Turbine of Siemens KWU,” ASME Paper No. 99-GT-111.
Krüger,  U., Hüren,  J., Hoffmann,  S., Krebs,  W., Flohr,  P., and Bohn,  D., 2001, “Prediction and Measurement of Thermoacoustic Improvements in Gas Turbines With Annular Combustion Systems,” ASME J. Eng. Gas Turbines Power, 123, pp. 557–566.
Krebs, W., Walz, G., and Hoffmann, S., 1999, “Thermoacoustic Analysis of Annular Combustor,” AIAA Paper No. AIAA 99-1971.
Stow, S. R., and Dowling, A. P., 2001, “Thermoacoustic Oscillations in an Annular Combustor,” ASME Paper No. 2001-GT-0037.
Evesque, S., and Polifke, W., 2002, “Validation of Low-Order Acoustic Modelling for Annular Combustors,” ASME Paper No. GT-2002-30064.
Ffowcs Williams,  J. E., 1982, “Sound Sources in Aerodynamics—Fact and Fiction,” AIAA J., 20(3), pp. 307–315.
Polifke,  W., Paschereit,  C. O., and Döbbeling,  K., 2001, “Constructive and Destructive Interference of Acoustic and Entropy Waves in a Premixed Combustor With a Choked Exit,” Int. J. Acoust. Vib., 6 (3), pp. 135–146.
Flohr, P., Paschereit, O. C., van Roon, B., and Schuermans, B., 2001, “Using CFD for Time-Delay Modeling of Premix Flames,” ASME Paper No. 2001-GT-0376.
COMSOL AB, “FEMLAB Reference Manual,” 2000.
Harper, J., Johnson, C., Neumeier, Y., Lieuwen, T. C., and Zinn, B. T., 2001, “Experimental Investigation of the Nonlinear Flame Response to Flow Disturbances in a Gas Turbine Combustor,” AIAA Paper No. AIAA-01-0486.
Chu, B.-T., 1956, “Stability of Systems Containing a Heat Source—The Rayleigh Criterion,” NACA Research Memorandum NACA RM 56D27.


Grahic Jump Location
Annular combustor test rig representing the basis for the model combustor. (1) Premixing section, (2) plenum chamber, (3) combustion chamber, (4) exhaust.
Grahic Jump Location
Geometry of the model annular combustor (cross section) with (1) inlet, (2) plenum chamber, (3) burner section, (4) combustion chamber, and (5) exit
Grahic Jump Location
Shape of the function f(u) defined by Eq. (15)
Grahic Jump Location
First four acoustical eigenmodes of the combustor (normalized pressure distribution)
Grahic Jump Location
FEM mesh and initial distribution of pressure fluctuation p
Grahic Jump Location
Time evolution of a self-excited instability for τ=1.9, ω0=5, no mean flow
Grahic Jump Location
Normalized pressure distribution at different phase angles for one period of the limit cycle for τ=1.9, ω0=5, no mean flow
Grahic Jump Location
Fluctuation of burner exit velocity (–), pressure ([[ellipsis]]), and heat release rate ([[dashed_line]]) during the limit cycle for τ=1.9, ω0=5, no mean flow
Grahic Jump Location
Normalized frequency spectrum of the limit cycle oscillation for τ=1.9, ω0=5, no mean flow
Grahic Jump Location
Time evolution of a self-excited instability in a system without losses (τ=1.0, ω0=5, no mean flow)
Grahic Jump Location
Time evolution of the velocity fluctuation at one burner for τ=1.5, ω0=5, no mean flow
Grahic Jump Location
Cycle increments for different delay times and ω0=5 (•), ω0=4 (▵), ω0=3 (▿), no mean flow
Grahic Jump Location
Frequencies and corresponding mode types for different delay times. (•) Unstable mode, (○) stable mode. Acoustical eigenfrequencies of the (1,0,0)-mode ([[dashed_line]]) and (1,1,0)-mode (-⋅-)
Grahic Jump Location
Normalized pressure distribution at different phase angles for one period of the limit cycle for τ=1.9, ω0=5, with mean flow
Grahic Jump Location
Amplitudes of the burner exit velocity fluctuations for the cases without (•) and with (▵) mean flow (τ=1.9, ω0=5). Limit for onset of saturation ([[dashed_line]]).



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In