[1] RAYLEIGH L. The theory of sound[M]. New York:Dover Publications, 1896.
[2] 翁方龙. 燃烧系统热声耦合拍振及其主动控制[D]. 北京:清华大学, 2016. WENG F L. Thermoacoustic beating oscillations in combustion systems and their active control[D]. Beijing:Tsinghua University, 2016. (in Chinese)
[3] 姚兆普. 非预混火焰热声耦合机理的理论和计算分析[D]. 北京:清华大学, 2011. YAO Z P. Theoretical and computational analysis of thermoacoustic oscillations for non-premixed flames[D]. Beijing:Tsinghua University, 2011. (in Chinese)
[4] BALASUBRAMANIAN K, SUJITH R I. Non-normality and nonlinearity in combustion-acoustic interaction in diffusion flames[J]. Journal of Fluid Mechanics, 2008, 594:29-57. DOI:10.1017/S0022112007008737.
[5] BALASUBRAMANIAN K, SUJITH R I. Nonlinear response of diffusion flames to uniform velocity disturbances[J]. Combustion Science and Technology, 2008, 180(3):418-436. DOI:10.1080/00102200701741178.
[6] TYAGI M, JAMADAR N, CHAKRAVARTHY S. Oscillatory response of an idealized two-dimensional diffusion flame:Analytical and numerical study[J]. Combustion and Flame, 2007, 149(3):271-285. DOI:10.1016/j.combustflame.2006.12.020.
[7] BURKE S P, SCHUMANN T E W. Diffusion flames[J]. Industrial and Engineering Chemistry, 1928, 20(10):998-1004. DOI:10.1021/ie50226a005.
[8] 景李玥, 姚兆普, 王辽, 等. 分布式非预混火焰传递函数的实验研究[J]. 推进技术, 2015, 36(1):1-8. JING L Y, YAO Z P, WANG L, et al. Experimental investigation of distributed flame transfer function for non-premixed flame[J]. Journal of Propulsion Technology, 2015, 36(1):1-8. (in Chinese)
[9] 姚兆普, 朱民. 非预混火焰热斑产生和演化的理论计算[J]. 推进技术, 2012, 33(4):530-535. YAO Z P, ZHU M. Analytical calculation of generation and evolution of hot spots in non-premixed flames[J]. Journal of Propulsion Technology, 2012, 33(4):530-535. (in Chinese)
[10] ZHU M, DOWLING A P, BRAY K N C. Transfer function calculations for aeroengine combustion oscillations[J]. Journal of Engineering for Gas Turbines and Power, 2005, 127(1):18-26. DOI:10.1115/1.1806451.
[11] 任泽天. 钝体流动声学特性及对火焰稳定性影响的研究[D]. 北京:清华大学, 2018. REN Z T. Study of aeroacoustic characteristics of bluff-body and influence on flame instabilities[D]. Beijing:Tsinghua University, 2018. (in Chinese)
[12] ERICKSON R R, SOTERIOU M C. The influence of reactant temperature on the dynamics of bluff body stabilized premixed flames[J]. Combustion and Flame, 2011, 158(12):2441-2457. DOI:10.1016/j.combustflame.2011.05.006.
[13] NOTTIN C, KNIKKER R, BOGER M, et al. Large eddy simulations of an acoustically excited turbulent premixed flame[J]. Proceedings of the Combustion Institute, 2000, 28(1):67-73. DOI:10.1016/S0082-0784(00)80196-4.
[14] BALACHANDRAN R, AYOOLA B, KAMINSKI C, et al. Experimental investigation of the nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations[J]. Combustion and Flame, 2005, 143(1-2):37-55. DOI:10.1016/j.combustflame.2005.04.009.
[15] DOWLING A P. A kinematic model of a ducted flame[J]. Journal of Fluid Mechanics, 1999, 394:51-72. DOI:10.1017/S0022112099005686.
[16] RAMESH K, GOPALARATHNAM A, GRANLUND K, et al. Discrete-vortex method with novel shedding criterion for unsteady aerofoil flows with intermittent leading-edge vortex shedding[J]. Journal of Fluid Mechanics, 2014, 751:500-538. DOI:10.1017/jfm.2014.297.
[17] DRISCOLL T A, TREFETHEN L N. Schwarz-Christoffel mapping[M]. Cambridge:Cambridge University Press, 2002.
[18] 李春炎. 多火焰动力学特性及其对热声稳定性的影响研究[D]. 北京:清华大学, 2018. LI C Y. Investigations of the dynamics of multi-flame and its effect on thermoacoustic stabilities[D]. Beijing:Tsinghua University, 2018. (in Chinese)
[19] ALBRECHT P, BADE S, LACARELLE A, et al. Instability control by premixed pilot flames[J]. Journal of Engineering for Gas Turbines and Power, 2010, 132(4):041501. DOI:10.1115/1.3019293.
[20] DHANUKA S K, TEMME J E, DRISCOLL J F. Unsteady aspects of lean premixed prevaporized gas turbine combustors:Flame-flame interactions[J]. Journal of Propulsion and Power, 2011, 27(3):631-641. DOI:10.2514/1.B34001.
[21] FU X, YANG F J, GUO Z H. Combustion instability of pilot flame in a pilot bluff body stabilized combustor[J]. Chinese Journal of Aeronautics, 2015, 28(6):1606-1615. DOI:10.1016/j.cja.2015.08.018.
[22] O'CONNOR J, LIEUWEN T. Disturbance field characteristics of a transversely excited burner[J]. Combustion Science and Technology, 2011, 183(5):427-443. DOI:10.1080/00102202.2010.529478.
[23] SAURABH A, PASCHEREIT C O. Dynamics of premixed swirl flames under the influence of transverse acoustic fluctuations[J]. Combustion and Flame, 2017, 182:298-312. DOI:10.1016/j.combustflame.2017.04.014.
[24] ACHARYA V, LIEUWEN T. Premixed flame response to helical disturbances:Mean flame non-axisymmetry effects[J]. Combustion and Flame, 2016, 165:188-197. DOI:10.1016/j.combustflame.2015.12.003.
[25] BAUERHEIM M, PARMENTIER J F, SALAS P, et al. An analytical model for azimuthal thermoacoustic modes in an annular chamber fed by an annular plenum[J]. Combustion and Flame, 2014, 161(5):1374-1389. DOI:10.1016/j.combustflame.2013.11.014.
[26] BUSCHMANN P E, MENSAH G A, NICOUD F, et al. Solution of thermoacoustic eigenvalue problems with a noniterative method[J]. Journal of Engineering for Gas Turbines and Power, 2020, 142(3):031022. DOI:10.1115/1.4045076.
[27] SOGARO F M, SCHMID P J, MORGANS A S. Thermoacoustic interplay between intrinsic thermoacoustic and acoustic modes:Non-normality and high sensitivities[J]. Journal of Fluid Mechanics, 2019, 878:190-220. DOI:10.1017/jfm.2019.632.
[28] BAUERHEIM M, CAZALENS M, POINSOT T. A theoretical study of mean azimuthal flow and asymmetry effects on thermo-acoustic modes in annular combustors[J]. Proceedings of the Combustion Institute, 2015, 35(3):3219-3227. DOI:10.1016/j.proci.2014.05.053.
[29] LI C Y, YANG D, LI S H, et al. An analytical study of the effect of flame response to simultaneous axial and transverse perturbations on azimuthal thermoacoustic modes in annular combustors[J]. Proceedings of the Combustion Institute, 2019, 37(4):5279-5287. DOI:10.1016/j.proci.2018.05.121.