A generalized acoustic equation is used to identify the mechanisms driving combustion instability. The relationship between the unsteady rate of heat release and the flow is found to influence significantly the frequency of oscillation. A kinematic flame model is reviewed and used to describe the unsteady combustion in a premixed ducted flame and in a typical lean premixed industrial gas turbine. Comparison is made between theory and experiment.
RayleighLordThe Theory of Sound, 1896 (Macmillan, London).
2.
ChuB. T.On the energy transfer to small disturbances in fluid flow. Part I. Acta Mechanica, 1964, 1, 215–234.
3.
DowlingA. P.Combustion Noise and Active Control, von Karman Institute for Fluid Dynamics, Lecture Series 1997-07, 1997.
4.
DowlingA. P.The calculation of thermoacoustic oscillations. J. Sound Vibr., 1995, 180, 557–581.
5.
DowlingA. P.Acoustics of unstable flows. In Theoretical and Applied Mechanics (Eds TatsumiT.WatanabeE.KambeT.), 1996, pp. 171–186 (Elsevier, Amsterdam).
6.
MarbleF. E.CandelS. M.Acoustic disturbance from gas non-uniformities convected through a nozzle. J. Sound Vibr., 1977, 55, 225–243.
7.
KellerJ. J.Thermoacoustic oscillations in combustion chambers of gas turbines. Am. Inst. Aeronaut. Astronaut. J., 1995, 33, 2280–2287.
8.
DowlingA. P.A kinematic model of a ducted flame. J. Fluid Mechanics, 1999, 394, 51–72.
9.
BloxsidgeG. J.DowlingA. P.LanghorneP. J.Reheat buzz: An acoustically coupled combustion instability. Part 2: Theory. J. Fluid Mechanics, 1988, 193, 445–473.
10.
DowlingA. P.Nonlinear self-excited oscillations of a ducted flame. J. Fluid Mechanics, 1997, 346, 271–290.
11.
Abu-OrfG. M.CantR. S.In Proceedings of the Joint Meeting of the Spanish, Portuguese, Swedish and British Sections of the Combustion Institute, 1996.
12.
CatlinC. A.FairweatherM.IbrahimS. S.Predictions of turbulent premixed flame propagation in explosion tubes. Combust. Flame, 1995, 102, 115–128.
13.
LanghorneP. J.Reheat buzz: An acoustically coupled combustion instability. Part I: Experiment. J. Fluid Mechanics, 1988, 193, 417–443.
14.
JonesB.Reheat buzz film. Report, Combustion Department, Rolls-Royce, Derby, 1974.
15.
SmartA. E.JonesB.JewelN. T.Measurements of unsteady parameters in a rig designed to study reheat combustion instabilities. AIAA paper 76-141, 1976.
16.
MacquistenM. A.DowlingA. P.Low frequency combustion oscillations in a model afterburner. Combust. Flame, 1993, 94, 253–264.
17.
RichardG. A.JanusM. C.Characterisation of oscillations during premix gas turbine combustion. Trans. ASME, J. Engng Gas Turbines Power, 1998, 120, 294–302.
18.
HubbardS.DowlingA. P.Acoustic instabilities in premix burners. AIAA paper 98-2272, 1998.
19.
LieuwenT.ZinnB. T.The Ale of equivalence ratio oscillations in driving combustion instabilities in low NOx gas turbines. In Proceedings of the 27th International Symposium on Combustion, 1998 (Combustion Institute, Pittsburgh, Pennsylvania).
