Thermoacoustic instability in a Rijke tube: non-normality and nonlinearity

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Investigation of azimuthal staging concepts in annular gas turbines (2011, methodology): “[18]), the pressure field can be expanded in a series of orthogonal basis functions p(θ, t) =∑∞n=1 ηn(t)ψn(θ ).”
Sensitivity and Nonlinearity of Thermoacoustic Oscillations (2018, background): “All thermoacoustic systems are non-self-adjoint (Balasubramanian & Sujith 2008), however, so p̂q † is a more accurate guide than p̂2.”
Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition (2010, methodology): “This model was used in Balasubramanian & Sujith (2008a) and Nagaraja et al. (2009) and was based on correlations developed by Matveev (2003) from models in Landau & Lifshitz (1959).”