Turbulent propagation of premixed flames in the presence of Darrieus–Landau instability

Creta, Francesco; Fogla, Navin; Matalon, Moshe

doi:10.1080/13647830.2010.538722

Cited by 67 publications

(33 citation statements)

References 48 publications

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“…This is in line with greater high-frequency flame wrinkling in the unstable regime. There is evidence in [31] that the greater the instability, the smaller the value of l to which the corrugated flame is most sensitive. The extent of such instabilities in turbulent flames is, at present, not fully understood but is qualitatively suggested by the curved arrowed line at low K in Fig.…”

Section: Turbulent Burning Velocity Correlation and Regimes Of Combusmentioning

confidence: 94%

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The Problems of the Turbulent Burning Velocity

Bradley

Lawes

Mansour

2011

Flow Turbulence Combust

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The paper reviews the practical problems in measuring a turbulent burning velocity that gives the mass rate of burning. These largely centre on identifying an appropriate flame surface to associate with the turbulent burning velocity, u t , and the density of the unburned mixture. Such a flame surface has been identified, in terms of the mean reaction progress variable,c, for explosive flame propagation in a fan-stirred bomb. Measurement ofc makes possible an estimation of the flame surface density, Σ, from the relationship Σ = kc (1 −c). It is shown that in such explosions, mass rates of burning derived from the measured total flame surface area agreed well with those found from the measured turbulent burning velocity. Flamelet considerations identify appropriate dimensionless correlating parameters for u t . As a result, correlations of turbulent burning velocity divided by the effective rms turbulent velocity, are plotted against the turbulent Karlovitz stretch factor, K, for different values of the Markstein number for flame strain rate, Ma sr . These plots cover a wide range of variables, including pressure and fuels, and are indicative of different regimes of turbulent combustion. At the lower values of K, there is some evidence of increases in u t and k due to high-frequency flame surface wrinkling arising from flame instabilities. These increase as Ma sr becomes more negative. It is found from the developed value of the mean flame surface density throughout the flame brush that, to a first approximation, an increase in u t for a given mixture is accompanied by a proportional increase in the volume of the brush. The analysis shows that the volume fraction of the turbulent flame brush that is reacting is quite small.

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Section: Turbulent Burning Velocity Correlation and Regimes Of Combusmentioning

confidence: 94%

“…A recent study by Creta et al [31] suggests there is a threshold value of u , below which a corrugated flame behaves like a laminar one. The wrinkling will create more flame crossings of the relevant spherical surface, such as that of radius R j , on Fig.…”

Section: Turbulent Burning Velocity Correlation and Regimes Of Combusmentioning

confidence: 98%

The Problems of the Turbulent Burning Velocity

Bradley

Lawes

Mansour

2011

Flow Turbulence Combust

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“…Since then, many other attempts and techniques to improve this equation or to propose other kinds of EEM equations can be found in the literature : e.g. higher order expansions in α for MS type equations [28,29,30], second order in time equations for transients or acoustics [31,32] non perturbative approaches [33,34], asymptotic expansion based on flame aspect ratio [35], 3D planar equations [36,37,38], equations dealing with non connected or non stellate front topology [39,40,41]. In the context of 3D expanding flames [13,42,43], many of the proposed equations can be seen as different extensions of Michelson-Sivashinsky equation.…”

Section: Chosen Evolution Equationmentioning

confidence: 99%

Assessment of the Evolution Equation Modelling approach for three-dimensional expanding wrinkled premixed flames

Albin

D'Angelo

2012

Combustion and Flame

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. Assessment of the Evolution Equation Modelling approach for threedimensional expanding wrinkled premixed flames. Combustion and Flame, Elsevier, 2012, 159 (5), pp.1932-1948. <10.1016/j.combustflame.2011 AbstractDirect Numerical Simulations (DNS), Evolution Equation Modelling (EEM) and Experimental results from the literature (EXP) are presented and analyzed for an expanding propane/air flame. DNS results are obtained thanks to the in-house finite-difference code HAllegro. Computed (DNS/EEM) and measured (EXP) equivalent radii R P and R S , mean stretch k and consumption velocity S C , as well as sample front shapes, are compared using to the same post-processing methodology. Small perturbations in the EEM input parameters induce comparatively small shifts in the compared results, showing the robustness of the approach. When slightly adapting only one O(1) parameter for the EEM strategy (the effective turbulent forcing amplitude felt by the flame), DNS and EEM show quite fair agreement one with the other and also with EXP, except for one of the experiments at early times. In the context of expanding flames, this validated EEM methodology can constitute a reliable tool to compute realisticly large sized flames.

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“…It has been established that unlike the cellular flames resulting from a thermodiffusive instability, the flame beyond the bifurcation point where the planar flame looses stability evolves into a single cusp-like structure that fills the entire domain L and propagates at a speed significantly larger than the laminar flame speed. It has also been noted that background noise and weak turbulence may trigger self wrinkling of the flame front (Creta, Fogla & Matalon 2011).…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic and thermodiffusive instability effects on the evolution of laminar planar lean premixed hydrogen flames

et al. 2012

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Numerical simulations with single-step chemistry and detailed transport are used to study premixed hydrogen/air flames in two-dimensional channel-like domains with periodic boundary conditions along the horizontal boundaries as a function of the domain height. Both unity Lewis number, where only hydrodynamic instability appears, and subunity Lewis number, where the flame propagation is strongly affected by the combined effect of hydrodynamic and thermodiffusive instabilities are considered. The simulations aim at studying the initial linear growth of perturbations superimposed on the planar flame front as well as the long-term nonlinear evolution. The dispersion relation between the growth rate and the wavelength of the perturbation characterizing the linear regime is extracted from the simulations and compared with linear stability theory. The dynamics observed during the nonlinear evolution depend strongly on the domain size and on the Lewis number. As predicted by the theory, unity Lewis number flames are found to form a single cusp structure which propagates unchanged with constant speed. The long-term dynamics of the subunity Lewis number flames include steady cell propagation, lateral flame movement, oscillations and regular as well as chaotic cell splitting and merging.

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Turbulent propagation of premixed flames in the presence of Darrieus–Landau instability

Cited by 67 publications

References 48 publications

The Problems of the Turbulent Burning Velocity

The Problems of the Turbulent Burning Velocity

Assessment of the Evolution Equation Modelling approach for three-dimensional expanding wrinkled premixed flames

Hydrodynamic and thermodiffusive instability effects on the evolution of laminar planar lean premixed hydrogen flames

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