A unified framework for nonlinear combustion instability analysis based on the flame describing function
By N. Noiray, D. Durox, T. Schuller, S. Candel. Journal of Fluid Mechanics, 2008
531 citations recorded by the source corpus.
Subfields: Computational Mechanics, Fluid Flow and Transfer Processes, Safety, Risk, Reliability and Quality
View Paper: https://www.semanticscholar.org/paper/1bad8af1fea01f4b351740db91280035abd0b537
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Citations in the corpus
- Nonlinear self-excited thermoacoustic oscillations: intermittency and flame blowout (2012, background): “In addition, thermoacoustic systems have also been shown to be sensitive to background noise and external disturbances, which could trigger instability in the subcritical zone (Noiray et al. 2008; Kabiraj & Sujith 2011; Waugh & Juniper 2011; Jegadeesan & Sujith 2012).”
- Flame Dynamics and Combustion Noise: Progress and Challenges (2009, background): “A possible solution to this fundamental problem proposed by Noiray et al. (2008) consists in making use of the flame describing function to represent the combustion response to incoming perturbations.”
- Nonlinear self-excited thermoacoustic oscillations of a ducted premixed flame: bifurcations and routes to chaos (2014, methodology): “This, however, is not the same as the FDF approach as described by Noiray et al. (2008) and typically used in experiments because the influence of temperature change on the thermoacoustic eigenmodes is taken into account in their calculations.”
- Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition (2010, methodology): “The latter process can be predicted with a nonlinear normal analysis (Noiray et al. 2008), but the former process cannot.”
- Investigation of azimuthal staging concepts in annular gas turbines (2011, background): “One can also note that in some cases, the nonlinearity is more complex allowing for subcritical bifurcations and triggering of limit cycles while the system is linearly stable [20, 21].”
- Modal dynamics of self-excited azimuthal instabilities in an annular combustion chamber (2013, methodology): “limit-cycle amplitudes [6,16,17] as well as mode switching [18].”
- Sensitivity and Nonlinearity of Thermoacoustic Oscillations (2018, methodology): “This was demonstrated theoretically by Crocco & Cheng (1956, section 3.02), described by McManus et al. (1993, section 2.1.6), and shown experimentally by, for example, Noiray et al. (2008).”
- Large Eddy Simulations of gaseous flames in gas turbine combustion chambers (2012, methodology): “In these methods, two distinct sub-classes are to be distinguished: • The presumed approach where the FDF/PDF form is fixed a priori and usually parameterized by the local value of the filtered quantity and its second filtered central moments.”
- Combining a Helmholtz solver with the flame describing function to assess combustion instability in a premixed swirled combustor (2013, background): “When considering the FDF approach, the flame response depends not only on the frequency of the acoustic velocity perturbation, but also on its amplitude (Dowling, 1997, 1999; Noiray et al., 2008; Durox et al., 2009).”
- Time domain simulations of nonlinear thermoacoustic behaviour in a simple combustor using a wave-based approach (2015, methodology): “The experimentally determined FDF for the premixed flames of a matrix burner was recently combined with an acoustic network to predict the stability map, in which the eigenfrequency is varied by changing the length of combustion chamber [30,41,42].”