First Experimental Study of the Darrieus-Landau Instability

Clanet, Christophe; Searby, Geoffrey

doi:10.1103/physrevlett.80.3867

Cited by 125 publications

(54 citation statements)

References 5 publications

(8 reference statements)

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“…As in previous experiments with propane [19,13] the range of equivalence ratios where it was possible to measure growth rates is limited. For low equivalence ratios, we are close to the extinction limit for the Hele-Shaw cell with a gap width of 4.7mm, which probably explains the low growth rates observed for φ = 0.81.…”

Section: Experimental Results For Propane and Methane-air Mixturesmentioning

confidence: 99%

Darrieus–Landau instability and Markstein numbers of premixed flames in a Hele-Shaw cell

Sarraf

Almarcha

Quinard

et al. 2019

Proceedings of the Combustion Institute

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Hydrodynamic flame instabilities are studied in a Hele-Shaw burner. By studying the development of perturbations, starting from a 2D Bunsen flame at the top of the burner, growth rates are measured for propane and methane-air mixtures, and compared to theoretical predictions. It is found that the dispersion relation in a Hele-Shaw cell has the same dependence with wavenumber σ = k − k 2 as the one predicted in tubes. Markstein numbers relative to fresh gases are obtained for propane and methane flames and compared to the literature.

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Section: Experimental Results For Propane and Methane-air Mixturesmentioning

confidence: 99%

Darrieus–Landau instability and Markstein numbers of premixed flames in a Hele-Shaw cell

Sarraf

Almarcha

Quinard

et al. 2019

Proceedings of the Combustion Institute

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“…We attempt to do this in the experiments described below. Premixed flames of methane and propane are main- tained perfectly planar using a periodic acceleration field [14,24]. The flames are then subjected to a periodic pressure fluctuation at a different higher frequency.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Experimental investigation of the unsteady response of premixed flame fronts to acoustic pressure waves

Wangher

Searby

Quinard

2008

Combustion and Flame

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“…a density 'discontinuity') to create the unsteady RT effect. Experimental (Searby 1992;Clanet & Searby 1998;Clanet, Searby & Clavin 1999;Al-Shahrany et al 2006) and numerical (Gonzalez 1996) studies indicate that the dynamic effect of the acoustic acceleration and the DL instability are both important.…”

Section: R C Assier and X Wumentioning

confidence: 99%

“…Searby & Rochwerger 1991;Clanet & Searby 1998;Bychkov 1999;Aldredge 2005). It was shown that externally imposed sound waves with a moderate amplitude may stabilise an intrinsically unstable flat flame, but at a high enough amplitude they trigger secondary parametric instabilities.…”

Section: R C Assier and X Wumentioning

confidence: 99%

Linear and weakly nonlinear instability of a premixed curved flame under the influence of its spontaneous acoustic field

Assier

2014

J. Fluid Mech.

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The stability of premixed flames in a duct is investigated using an asymptotic formulation, which is derived from first principles and based on high-activation-energy and low-Mach-number assumptions (Wu et al., J. Fluid Mech., vol. 497, 2003, pp. 23-53). The present approach takes into account the dynamic coupling between the flame and its spontaneous acoustic field, as well as the interactions between the hydrodynamic field and the flame. The focus is on the fundamental mechanisms of combustion instability. To this end, a linear stability analysis of some steady curved flames is undertaken. These steady flames are known to be stable when the spontaneous acoustic perturbations are ignored. However, we demonstrate that they are actually unstable when the latter effect is included. In order to corroborate this result, and also to provide a relatively simple model guiding active control, we derived an extended Michelson-Sivashinsky equation, which governs the linear and weakly nonlinear evolution of a perturbed flame under the influence of its spontaneous sound. Numerical solutions to the initial-value problem confirm the linear instability result, and show how the flame evolves nonlinearly with time. They also indicate that in certain parameter regimes the spontaneous sound can induce a strong secondary subharmonic parametric instability. This behaviour is explained and justified mathematically by resorting to Floquet theory. Finally we compare our theoretical results with experimental observations, showing that our model captures some of the observed behaviour of propagating flames.

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First Experimental Study of the Darrieus-Landau Instability

Cited by 125 publications

References 5 publications

Darrieus–Landau instability and Markstein numbers of premixed flames in a Hele-Shaw cell

Darrieus–Landau instability and Markstein numbers of premixed flames in a Hele-Shaw cell

Experimental investigation of the unsteady response of premixed flame fronts to acoustic pressure waves

Linear and weakly nonlinear instability of a premixed curved flame under the influence of its spontaneous acoustic field

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