Thermoacoustics can be viewed as the combination of two feedback coupling mechanisms between heat release fluctuation and the acoustics of the combustor: one resulting from the perturbations in velocity causing fluctuation in flame surface area and the other from perturbation in equivalence ratio, both causing perturbation in heat release. As in most feedback system, instability could occur when heat release perturbation is in phase with the acoustic pressure perturbation of the combustion enclosure. The emphasis of this paper is the state space formulation of the acoustics model to be used as part of the thermoacoustics model containing the first two interaction mechanisms.
Thermoacoustic Control Modeling
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Kashani, R. "Thermoacoustic Control Modeling." Proceedings of the ASME 2005 International Mechanical Engineering Congress and Exposition. Noise Control and Acoustics. Orlando, Florida, USA. November 5–11, 2005. pp. 225-230. ASME. https://doi.org/10.1115/IMECE2005-80907
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