Impact of flame base dynamics on the non-linear frequency response of conical flames

Alexis Cuquel; Daniel Durox; Thierry Schuller

doi:10.1016/j.crme.2012.11.004

Combustion, flow and spray dynamics for aerospace propulsion

Impact of flame base dynamics on the non-linear frequency response of conical flames
[Impact de la dynamique de la base de la flamme sur la réponse fréquentielle non-linéaire dʼune flamme conique]

Alexis Cuquel ^1,² ; Daniel Durox ^1,² ; Thierry Schuller ^1,²

¹ CNRS, UPR 288, Laboratoire dʼEnergétique Moléculaire et Macroscopique, Combustion (EM2C), 92290 Châtenay-Malabry, France
² École Centrale Paris, 92290 Châtenay-Malabry, France

Comptes Rendus. Mécanique, Volume 341 (2013) no. 1-2, pp. 171-180.

Résumé
Abstract

La réponse dʼune flamme conique prémélangée soumise à des perturbations de vitesse est étudiée théoriquement et expérimentalement, en se concentrant sur lʼimpact de la dynamique du point dʼaccrochage sur le comportement non-linéaire de la Fonction de Transfert de Flamme (FTF). Cette réponse est modélisée en considérant le transfert de chaleur instationnaire entre le brûleur et la base de la flamme. Les prévisions concernant la réponse du point dʼaccrochage $Ξ (ω)$ ainsi que la Fonction de Transfert de Flamme $F (ω)$ sont comparées à des mesures pour différentes fréquences. On montre notamment que le comportement non-linéaire de la phase de la FTF résulte dʼune compétition entre les effets dus aux perturbations de vitesse, induisant une augmentation regulière de la phase de la FTF, et du point dʼaccrochage de la flamme, résultant en une saturation de la phase de la FTF à hautes fréquences. Cette analyse montre ainsi le rôle important des oscillations de la base de la flamme, contrôlant la saturation de la phase de la FTF.

The response of laminar premixed conical flames to velocity disturbances is considered theoretically and experimentally with a focus on the impact of the flame base dynamics on the non-linear behavior of the Flame Transfer Function (FTF). Unsteady heat transfer between the flame base and the burner lip is considered to model the flame base response. Predictions for the flame base response $Ξ (ω)$ and flame transfer function $F (ω)$ are compared to measurements over a large range of frequencies. The non-linear behavior of the FTF phase is shown to result from a competition between velocity disturbances contributing to a regular increase of the phase lag with frequency and flame base oscillations leading to a saturation of the phase lag at high frequencies. Increasing the forcing level leads to an early saturation of the phase lag of the FTF at lower frequencies. This analysis demonstrates the important role of flame foot oscillations controlling the saturation of the FTF phase lag.

Publié le : 2013-01-01

DOI : 10.1016/j.crme.2012.11.004

Keywords: Combustion dynamics, Flame transfer function, Flame base motion, Unsteady heat transfer
Mot clés : Dynamique de combustion, Fonction de transfert de flamme, Mouvement de la base de la flamme, Transfert de chaleur instationnaire

Affiliations des auteurs :

Alexis Cuquel ^{1, 2} ; Daniel Durox ^{1, 2} ; Thierry Schuller ^{1, 2}

¹ CNRS, UPR 288, Laboratoire dʼEnergétique Moléculaire et Macroscopique, Combustion (EM2C), 92290 Châtenay-Malabry, France
² École Centrale Paris, 92290 Châtenay-Malabry, France

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     author = {Alexis Cuquel and Daniel Durox and Thierry Schuller},
     title = {Impact of flame base dynamics on the non-linear frequency response of conical flames},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {171--180},
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     volume = {341},
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     year = {2013},
     doi = {10.1016/j.crme.2012.11.004},
     language = {en},
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Alexis Cuquel; Daniel Durox; Thierry Schuller. Impact of flame base dynamics on the non-linear frequency response of conical flames. Comptes Rendus. Mécanique, Volume 341 (2013) no. 1-2, pp. 171-180. doi : 10.1016/j.crme.2012.11.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.11.004/

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