Experimental analysis of nonlinear flame transfer functions for different flame geometries

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Time domain simulations of nonlinear thermoacoustic behaviour in a simple combustor using a wave-based approach (2015, background): “The time delay τf of the laminar conical premixed flame is equal to H=3u1 for lower frequency band and increases with frequency, while the V-shape flame features a constant time delay of 2H=3u1 [18], where H specifies the height of the flame.”
Sensitivity and Nonlinearity of Thermoacoustic Oscillations (2018, background): “For example, Durox et al. (2009) found that τ changes by a factor of 2.8 when, at one operating condition, a flame is anchored differently.”
Combining a Helmholtz solver with the flame describing function to assess combustion instability in a premixed swirled combustor (2013, methodology): “For a given frequency and for increasing values of the acoustic velocity amplitude, the gain and phase of the FDF evolve (Balachandran et al., 2005; Bellows et al., 2007; Durox et al., 2009; Schimek et al., 2011; Kim and Hochgreb, 2011).”
Dynamics and control of premixed combustion systems based on flame transfer and describing functions (2020, methodology): “The first extends the FTF concept by considering that the flame response may be represented by a Flame Describing Function (FDF) where the gain G and phase lag φ, not only depend on frequency but also on the forcing amplitude |u1| (Noiray et al. 2008; Durox et al. 2009; Palies et al. 2011).”