A recently developed nonlinear flame describing function (FDF) is used to analyze combustion instabilities in a system where the feeding manifold has a variable size and where the flame is confined by quartz tubes of variable length. Self-sustained combustion oscillations are observed when the geometry is changed. The regimes of oscillation are characterized at the limit cycle and also during the onset of oscillations. The theoretical predictions of the oscillation frequencies and levels are obtained using the FDF. This generalizes the concept of flame transfer function by including dependence on the frequency and level of oscillation. Predictions are compared with experimental results for two different lengths of the confinement tube. These results are, in turn, used to predict most of the experimentally observed phenomena and in particular, the correct oscillation levels and frequencies at limit cycles.
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June 2011
Research Papers
Describing Function Analysis of Limit Cycles in a Multiple Flame Combustor
Frédéric Boudy,
Frédéric Boudy
Laboratoire EM2C, Ecole Centrale Paris,
e-mail: frederic.boudy@em2c.ecp.fr
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
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Daniel Durox,
Daniel Durox
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
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Thierry Schuller,
Thierry Schuller
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
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Grunde Jomaas,
Grunde Jomaas
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
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Sébastien Candel
Sébastien Candel
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
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Frédéric Boudy
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, Francee-mail: frederic.boudy@em2c.ecp.fr
Daniel Durox
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
Thierry Schuller
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
Grunde Jomaas
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
Sébastien Candel
Laboratoire EM2C, Ecole Centrale Paris,
CNRS
, Grande Voie des Vignes, 92295 Châtenay-Malabry, FranceJ. Eng. Gas Turbines Power. Jun 2011, 133(6): 061502 (8 pages)
Published Online: February 15, 2011
Article history
Received:
June 2, 2010
Revised:
June 6, 2010
Online:
February 15, 2011
Published:
February 15, 2011
Citation
Boudy, F., Durox, D., Schuller, T., Jomaas, G., and Candel, S. (February 15, 2011). "Describing Function Analysis of Limit Cycles in a Multiple Flame Combustor." ASME. J. Eng. Gas Turbines Power. June 2011; 133(6): 061502. https://doi.org/10.1115/1.4002275
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