Theoretical and experimental determinations of the transfer function of a laminar premixed flame

Ducruix, Sébastien; Durox, Daniel; Candel, Sébastien

doi:10.1016/s0082-0784(00)80279-9

Cited by 308 publications

(171 citation statements)

References 14 publications

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“…Fleifil et al [25] solved the linearised G equation for a laminar flame stabilised in a simple duct flow and developed a theoretical flame transfer function. Later, Ducruix et al [22] …”

Section: Introductionmentioning

confidence: 96%

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Response of a conical, laminar premixed flame to low amplitude acoustic forcing – A comparison between experiment and kinematic theories

Karimi

2014

Energy

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This paper presents an experimental study on the dynamics of a ducted, conical, laminar premixed flame subjected to low amplitude acoustic excitation from upstream. The heat release response of the flame to velocity disturbances is investigated through measurement of the so called 'flame transfer function' for a wide range of forcing frequencies. The results are compared with those predicted by the existing linear kinematic theories. It is observed that these theories are in general agreement with the experiment, although there exist some disparities. A detailed comparison of the experimental data with the kinematic theories shows that the phase speed of flame disturbances has an essential influence upon the level of agreement between the theory and experiment. The data set presented in this work complements that reported in an earlier study. In keeping with others, visualisation of the excited flames clearly shows that the flame response includes waves on the flame front which are formed at the base and then convect along the flame.

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“…Fleifil et al [25] solved the linearised G equation for a laminar flame stabilised in a simple duct flow and developed a theoretical flame transfer function. Later, Ducruix et al [22] …”

Section: Introductionmentioning

confidence: 96%

“…[17,22,23]. Response of the flame is characterised by the velocity modulations just upstream of the flame and the perturbations in the instantaneous flame heat release [17].…”

Section: Introductionmentioning

confidence: 99%

Response of a conical, laminar premixed flame to low amplitude acoustic forcing – A comparison between experiment and kinematic theories

Karimi

2014

Energy

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“…HereQ andū denote a mean flame power and velocity introduced for scaling purposes. The FTF can be either measured or modeled theoretically or numerically (Ducruix et al, 2000;Külsheimer and Büchner, 2002;Truffin and Poinsot, 2005;Durox et al, 2009;Huber and Polifke, 2009;Kim et al, 2010;Schuermans et al, 2011;Duchaine et al, 2011;Tay-Wo-Chong et al, 2012;Palies et al, 2011b). In a second step, this function can be combined to a model of the system acoustics which is often obtained analytically (Dowling and Stow, 2003;Sattelmayer and Polifke, 2003;Poinsot and Veynante, 2005).…”

Section: Introductionmentioning

confidence: 99%

Combining a Helmholtz solver with the flame describing function to assess combustion instability in a premixed swirled combustor

Silva

Nicoud

Schuller

et al. 2013

Combustion and Flame

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132

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“…Dowling [6] also studied self-excitation, but of a duct-confined turbulent flame. Matsui [7] worked on the forced oscillation of arrays of Bunsen flames, and Ducruix et al [8] studied the forced oscillation of a single Bunsen flame.…”

Section: Introductionmentioning

confidence: 99%

The acoustic response of burner-stabilized premixed flat flames

Schreel

Rook

Goey

2002

Proceedings of the Combustion Institute

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The behavior of acoustically driven flat flames has been analyzed experimentally. In this study, pressure transducers and laser Doppler velocimetry are used to characterize the acoustical waves upstream and downstream of a flat flame stabilized on a flame holder. Two different flame holders have been used, a perforated brass plate and a ceramic foam, exhibiting very different surface temperatures. From these experiments, the acoustical transfer function can be derived. This transfer function shows a resonance-like behavior, of which the shape and peak frequency is governed mainly by the surface temperature of the burner and the velocity of the unburned mixture. The brass burner exhibits a resonance frequency around 140 Hz, where the resonance of the ceramic burner seems to have shifted to much higher frequencies and is much more damped. All results can be understood very well with an analytical model in terms of Zeldovich number, standoff distance, and heat conductivity. Apart from the analytical model for the brass flame holder, numerical simulations with detailed chemistry have also been performed. Again, the correspondence is good. The most interesting application is the acoustic behavior of central heating systems, in which these burners are frequently used. For the purpose of modeling the acoustical behavior of complete boiler systems, the analytical model can be used with minor adjustments to the Zeldovich number and heat conductivity, yielding a fairly accurate semiempirical model describing the transfer function.

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Theoretical and experimental determinations of the transfer function of a laminar premixed flame

Cited by 308 publications

References 14 publications

Response of a conical, laminar premixed flame to low amplitude acoustic forcing – A comparison between experiment and kinematic theories

Response of a conical, laminar premixed flame to low amplitude acoustic forcing – A comparison between experiment and kinematic theories

Combining a Helmholtz solver with the flame describing function to assess combustion instability in a premixed swirled combustor

The acoustic response of burner-stabilized premixed flat flames

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