A Heat Release Model of Turbulent Premixed Flame Response to Acoustic Perturbations

유동 섭동에 의한 난류예혼합화염의 열발생 모델에 관한 연구

  • Published : 2008.06.01


The unsteady heat release characteristics play a significant role in combustion instabilities observed in low emissions gas turbine combustors. Such combustion instabilities are often caused by coupling mechanisms between unsteady heat release rates and acoustic perturbations. A generalized model of the turbulent flame response to acoustic perturbations is analytically formulated by considering a distributed heat release along a curved mean flame front and using the flame's kinematic model that incorporates the turbulent flame development. The effects of the development of flame speed on the flame transfer functions are examined by calculating the transfer functions with a constant or developing flame speed. The flame transfer function due to velocity fluctuation shows that, when a developing flame speed is used, the transfer function magnitude decreases faster with Strouhal number than the results with a constant flame speed at low Strouhal numbers. The flame transfer function due to mixture ratio fluctuation, however, exhibits the opposite results: the transfer function magnitude with a developing flame speed increases faster than that with a constant flame speed at low Strouhal numbers. Oscillatory behaviors of both transfer function magnitudes are shown to be damped when a developing flame speed is used. Both transfer functions also show similar behaviors in the phase characteristics: The phases of both transfer functions with a developing flame speed increase more rapidly than those with a constant flame speed.


  1. Lieuwen, T. and Yang, V., 2005, Combustion Instabilities in Gas Turbine Engines, AIAA, Inc., Reston
  2. Fleifil, M., Annaswamy, A.M., Ghoniem, Z.A., and Ghoniem, A.F., 1996, “Response of a Laminar Premixed Flame to Flow Oscillations: A Kinematics Model and Thermoacoustic Instability Results,” Combust. Flame 106, pp. 487-510
  3. Ducruix, S., Durox, D., and Candel, S., 2000, “Theoretical and Experimental Determinations of the Transfer Function of a Laminar Premixed Flame,” Proc. Comb. Inst. 28, pp. 765-773
  4. Schuller, T., Durox, D., and Candel, S., 2003, “A Unified Model for the Prediction of Laminar Flame Transfer Functions: Comparisons between Conical and V-flame Dynamics,” Combust. Flame 134, pp. 21-34
  5. Schadow, K.C., Gutmark, E.J., Parr, T.P., Parr, D.M., Wilson, K.J., and Crump, J.E., 1989, “Large-Scale Coherent Structures as Drivers of Combustion Instability,” Comb. Sci. Tech. 64, pp. 167-186
  6. Yu, K.H., Trouve, A., and Daily J.W., 1991, ”Lowfrequency Pressure Oscillations in a Model Ramjet Combustor,” J. Fluid Mechanics 232, pp. 47-72
  7. Broda, J.C., Seo, S., Santoro, R.J., Shirhattikar, G., and Yang, V., 1998, “An Experimental Study of Combustion Dynamics of a Premixed Swirl Injector,” Proc. Comb. Inst. 27, pp. 1849-1856
  8. Lieuwen, T. and Zinn, B.T., 1998, ”The Role of Equivalence Ratio Oscillations in Driving Combustion Instabilities in Low NOx Gas Turbines,” Proc. Comb. Inst. 27, pp. 1809-1816
  9. Lieuwen, T., Torres, H., Johnson, C., and Zinn, B.T., 2001, “A Mechanism of Combustion Instability in Lean Premixed gas Turbine Combustors,” J. Engr. Gas Turb. Power 123, pp. 182-190
  10. Richards, G.A., and Janus, M.C., 1998, “Characterization of Oscillations During Premix Gas Turbine Combustion,” J. Engr. Gas Turb. Power 120, pp. 294-302
  11. Kendrick, D.W., Anderson, T.J., Sowa, W.A., and Snyder, T.S., 1999, ”Acoustic Sensitivities of Lean Premixed Fuel Injectors in a Single Nozzle Rig,” J. Engr. Gas Turb. Power 121, pp. 429-436
  12. Cho, J.H. and Lieuwen, T., 2005, ”Laminar Premixed Flame Response to Equivalence Ratio Oscillations,” Combust. Flame 140, pp. 116-129
  13. Hubbard, S. and Dowling, A.P., 1998, “Acoustic Instabilities in Premix Burners,” AIAA Paper # 98-2272
  14. Dowling, A.P., and Hubbard, S., 2000, “Instability in Lean Premixed Combustors,” Proc. Instn. Mech. Engrs. 214(A), pp. 317-332
  15. You, D., Huang, Y., and Yang, V., 2005, ”A Generalized Model of Acoustic Response of Turbulent Premixed Flame and its Application to Gas Turbine Combustion Instability Analysis,” Comb. Sci. Tech. 177, pp. 1109-1150
  16. Lipatnikov, A.N. and Sathiah, P., 2005, “Effect of Turbulent Flame Development on Thermoacoustic Oscillations,” Combust. Flame 142, pp. 130-139
  17. Bray, K.N.C., 1990, “Studies of the Turbulent Burning Velocity,” Proc. Roy. Soc. Lond.(A) 431, pp. 315-335
  18. Abu-Off, G.M., and Cant, R.S., 1996, “Reaction Rate Modeling for Premixed Turbulent Methane-air Flames”, Proceedings of the Joint Meeting of Spanish, Portuguese, Swedish and British Sections of the Combustion Institute, Madeira