Thermoacoustic Dynamics in an Annular Model Gas-turbine Combustor under Transverse Stochastic Forcing

Seungmin Guk; Seonghyun Seo; Minwoo Lee

doi:10.15231/jksc.2023.28.3.020

All Issue

2023 Vol.28, Issue 3 Preview Page Next Page

Research Article

Thermoacoustic Dynamics in an Annular Model Gas-turbine Combustor under Transverse Stochastic Forcing 횡방향 확률 가진 환경에서 환형 모사 가스터빈 연소기의 열음향적 동특성 분석

30 September 2023. pp. 20-27

PDF XML

Abstract

Thermoacoustic combustion instabilities arising from the interaction between the unsteady heat release rate and the combustor acoustic mode continue to hamper the development and operation of continuous combustion systems. In this study, we analyze the thermoacoustic dynamics in an annular model gas-turbine combustor, specifically focusing on the bifurcation behavior and the noise-induced dynamics. For this purpose, we transversely excite the combustor with stochastic signals of varying intensity. We find that a supercritical bifurcation occurs for a transverse thermoacoustic mode, and investigate the dynamics of that mode using the noise-induced dynamics of the flame. The devices and the framework used in this study can potentially serve as a platform for investigating the wide variety of noise-induced behavior in an annular combustor.

Keywords

Annular combustor

Thermoacoustic oscillation

Combustion instability

Noise-induced dynamics

References

T. Lieuwen, H. Torres, C. Johnson, B. Z-inn, A mechanism of combustion instability in lean premixed gas turbine combustors, J. Eng. Gas Turb. Power, 123(1) (2001), 182-189. 10.1115/1.1339002

J.W.S.B. Rayleigh, The theory of sound, Vol. 2, Macmillan, 1896.

T.C. Lieuwen, V. Yang, Combustion instabilities in gas turbine engines: operational experience, fundamental mechanisms, and modeling,American Instituteof Aeronautics and Astronautics, 2005. 10.2514/4.866807

S. Seo, Combustion instability mechanism of a lean premixed gas turbinecombustor, KSME International Journal, 17(2003),906-913. 10.1007/BF02983405

K. Balasubramanian, R.I. Sujith, Thermo-acoustic instability in a Rijke tube: Non- normality and nonlinearity, Phys. Fluids, 20(4) (2008), 044103. 10.1063/1.2895634

V. Nair, G. Thampi, R.I. Sujith, Intermit-tency route to thermoacoustic instability in turbulent combustors, J. Fluid Mech. 756 (2014), 470-487. 10.1017/jfm.2014.468

M. Lee, Early warning detection of thermoacoustic instabilityusing three-dimensionalcomplexity-entropycausalityspace,Exp. Therm. Fluid Sci. 130 (2022), 110517. 10.1016/j.expthermflusci.2021.110517

H. Kang, M. Lee, K.T. Kim, Measurements of self- excited instabilitiesandnitrogen oxides emissions in a multi-element lean-premixed hydrogen/methane/air flame ensemble, P. Combust. Inst. 39(4)(2023),4721-4729. 10.1016/j.proci.2022.07.258

H. Lee, J. Kim, K. Lee, Control of the longitudinal instability by symmetry break-ing in thecan burnersimulating annular nozzle, J. Korean Soc. Propul. Eng. 25(2) (2021), 66-78. 10.6108/KSPE.2021.25.2.066

G. Vignat, D. Durox, T. Schuller, S. Candel, Combustion dynamics of annular systems, Combust. Sci. Technol. 192(7) (2020), 1358-1388. 10.1080/00102202.2020.1734583

R. Pirk, C. d'Andrade Souto, D.D. da Silveira, C.M. deSouza,L.C.S. Góes, Liquid rocket combustion chamber acoustic characterization, J. Aerosp. Technol. Manag. 2 (2010), 269-278. 10.5028/jatm.2010.02038810

K. Prieur, D. Durox, T. Schuller, S. Candel, A hysteresis phenomenon leading to spinningor standing azimuthal instabilities in an annular combustor, Combust. Flame, 175 (2017), 283-291. 10.1016/j.combustflame.2016.05.021

N.A. Worth, J.R. Dawson, Effect of equivalence ratio on the modal dynamics of azimuthal combustion instabilities, P. Combust. Inst. 36 (3) (2017), 3743-3751. 10.1016/j.proci.2016.06.115

B. Ahn, T. Indlekofer, J.R. Dawson, N.A. Worth, Heat release rate response of azimuthal thermoacoustic instabilities in a pressurized annular combustor with meth-ane/hydrogen flames, Combust. Flame, 244 (2022), 112274. 10.1016/j.combustflame.2022.112274

J. Kim, D. Kim, Acoustic coupling between longitudinal and transverse modes in an annular gas turbine combustor, J. Korean Soc. Combust. 23(1) (2018), 8-15.

Y. Pyo, M. Yoon, D. Kim, Combustion instability analysis using network model in an annular gas turbine combustor, J. Korean Soc. Propul. Eng. 22(3) (2018), 72-80. 10.6108/KSPE.2018.22.3.072

L. Kabiraj, N. Vishnoi, A. Saurabh, A review on noise-induced dynamics of thermoacoustic systems, in: Dynamics and Control of Energy Systems, Springer, (2020), 265-281. 10.1007/978-981-15-0536-2_12

M. Lee, Numerical aspects of noise- induced dynamics in continuous combustion systems, J. Korean Soc. Combust. 28(2) (2023), 66-77. 10.15231/jksc.2023.28.2.067

C.E. Johnson, Y. Neumeier, T.C. Lieuwen, B.T. Zinn, Experimental determination of the stability margin of a combustor using exhaust flow and fuel injection rate modulations, P. Combust. Inst. 28(1) (2000), 757-763. 10.1016/S0082-0784(00)80278-7

N. Noiray, B. Schuermans, Deterministic quantities characterizing noise driven Hopf bifurcations in gas turbine combustors, Int. J. Non. Linear. Mech. 50 (2013), 152-163. 10.1016/j.ijnonlinmec.2012.11.008

N. Noiray, A. Denisov, A method to identify thermoacoustic growth rates in combustion chambers from dynamic pressure time series, P. Combust. Inst. 36(3) (2017), 3843-3850. 10.1016/j.proci.2016.06.092

M. Lee, Y. Guan, V. Gupta, L.K.B. Li, Input-output system identification of a thermoacoustic oscillator near a Hopf bifurcation using only fixed-point data, Phys. Rev. E. 101(1) (2020), 013102. 10.1103/PhysRevE.101.01310232069669

M. Lee, K.T. Kim, V. Gupta, L.K.B. Li, System identification and early warning detection of thermoacoustic oscillations in a turbulent combustor using its noise-induced dynamics, P. Combust. Inst. 38(4) (2021), 6025-6033. 10.1016/j.proci.2020.06.057

S.Siegert,R.Friedrich, J. Peinke, Analysis of data sets of stochastic systems, Phys. Lett. A 243(5-6) (1998), 275-280. 10.1016/S0375-9601(98)00283-7

M. Lee, Y. Zhu, L.K.B. Li, V. Gupta, System identification of a low-density jet via its noise-induced dynamics, J. Fluid Mech. 862 (2019), 200-215. 10.1017/jfm.2018.961

E. Boujo, C. Bourquard, Y. Xiong, N. Noiray, Processing time-series of randomly forced self-oscillators: the example of beer bottle whistling, J. Sound Vib. 464 (2020), 114981. 10.1016/j.jsv.2019.114981

M. Lee, D. Kim, J. Lee, Y. Kim, M. Yi, A data-driven approach for analyzing Hall thruster discharge instability leading to plasma blowoff, Acta Astronaut. 206 (2023), 1-8. 10.1016/j.actaastro.2023.02.017

H. Risken, Fokker-Planck Equation, Springer, (1984). 10.1007/978-3-642-96807-5

M. Lee, System identification near a Hopf bifurcation via the noise-induced dynamics in the fixed-point regime, Ph.D. thesis, The Hong Kong University of Science and Technology (2020).

H. Gang, T. Ditzinger, C.-Z. Ning, H. Haken, Stochastic resonance without external periodic force, Phys. Rev. Lett. 71(6) (1993), 807. 10.1103/PhysRevLett.71.80710055373

A.S. Pikovsky, J. Kurths, Coherence resonance in a noise-driven excitable system, Phys. Rev. Lett. 78(5) (1997), 775. 10.1103/PhysRevLett.78.775

H. Son, M. Lee, Continuous probabilistic solution to the transient self-oscillation under stochastic forcing: a PINN approach, J. Mech. Sci. Technol., 37(8) (2023), 3911-3918. 10.1007/s12206-023-0707-z

O.V. Ushakov, H.-J. Wünsche, F. Henneberger, I.A. Khovanov,L.Schimansky-Geier, M.A. Zaks, Coherence resonance near a Hopf bifurcation, Phys. Rev. Lett. 95(12) (2005), 123903. 10.1103/PhysRevLett.95.12390316197076

Information

Publisher :The Korean Society of Combustion
Publisher(Ko) :한국연소학회
Journal Title :Journal of the Korean Society of Combustion
Journal Title(Ko) :한국연소학회지
Volume : 28
No :3
Pages :20-27
Received Date : 2023-08-10
Revised Date : 2023-08-16
Accepted Date : 2023-08-22
DOI :https://doi.org/10.15231/jksc.2023.28.3.020

Journal of the Korean Society of Combustion ISSN:1226-0959(Print) 2466-2089(Online) 한국연소학회지

All Issue