Acoustic modes in combustors with complex impedances and multidimensional active flames

@article{Nicoud2007AcousticMI,
  title={Acoustic modes in combustors with complex impedances and multidimensional active flames},
  author={F. Nicoud and L. Benoit and C. Sensiau and T. Poinsot},
  journal={AIAA Journal},
  year={2007},
  volume={45},
  pages={426-441}
}
two approaches for solving the corresponding nonlinear eigenvalue problem are proposed. The first one is based on an asymptotic expansion of the solution, the baseline being the acoustic modes and frequencies for a steady (or passive) flame and appropriate boundary conditions. This method allows a quick assessment of any acoustic mode stabilitybutisvalidonlyforcaseswherethecouplingbetweenthe flameandtheacousticwavesissmallinamplitude. The second approach is based on an iterative algorithm where… Expand
Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity
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