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A simple analytical model to study and control azimuthal instabilities in annular combustion chambers

Parmentier, Jean-François and Salas, Pablo and Wolf, Pierre and Staffelbach, Gabriel and Nicoud, Franck and Poinsot, Thierry A simple analytical model to study and control azimuthal instabilities in annular combustion chambers. (2012) Combustion and Flame, 159 (7). 2374-2387. ISSN 0010-2180

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Official URL: http://dx.doi.org/10.1016/j.combustflame.2012.02.007

Abstract

This study describes a simple analytical method to compute the azimuthal modes appearing in annular combustion chambers and help analyzing experimental, acoustic and LES (Large Eddy Simulation) data obtained in these combustion chambers. It is based on a one-dimensional zero Mach number formulation where N burners are connected to a single annular chamber. A manipulation of the corresponding acoustic equations in this configuration leads to a simple dispersion relation which can be solved by hand when the interaction indices of the flame transfer function are small and numerically when they are not. This simple tool is applied to multiple cases: (1) a single burner connected to an annular chamber (N = 1), (2) two burners connected to the chamber (N = 2), (3) four burners (N = 4). In this case, the tool also allows to study passive control methods where two different types of burners are mixed to control the azimuthal mode. Finally, a complete helicopter chamber (N = 15) is studied. For all cases, the analytical results are compared to the predictions of a full three-dimensional Helmholtz solver and a very good agreement is found. These results show that building very simple analytical tools to study azimuthal modes in annular chambers is an interesting path to control them.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://dx.doi.org/10.1016/j.combustflame.2012.02.007
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Université de Montpellier 2 (FRANCE)
Laboratory name:
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Deposited By: Thierry POINSOT
Deposited On:11 Apr 2013 13:10

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