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Practical combustion systems are prone to thermoacoustic instabilities, which affect the mechanical integrity of the components. This paper investigates how the turbulence-induced-noise stochastically drives these thermoacoustic limit-cycles. A model of the constructive feedback between the flames and the combustor acoustics is proposed and includes a non-coherent forcing with finite correlation time. It constitutes a more accurate description of the non-linear stochastic dynamics observed in practical combustors, compared to the usual white-noise-forcing assumption. The outcome of this study consolidates the recent model-based output-only system identification methods, proposed by Noiray and Schuermans [1] to extract the governing parameters of the thermoacoustic dynamics.

Effects of turbulence-induced colored noise on thermoacoustic instabilities in combustion chambers