A Numerical Study of Premixed Flames Darrieus-Landau Instability

Denet, Bruno; Haldenwang, Pierre

doi:10.1080/00102209508907714

Cited by 86 publications

(56 citation statements)

References 17 publications

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“…As for the x-direction, the numerical approach resorts to finite differences. A particular treatment for computing pressure has been implemented [32] and continuously improved [40], since the present isobaric combustion is characterized by low Mach number flows. As surface tension is neglected, the numerical approach can consider a single-fluid flow with very high variations of density, from the volumetric mass of a hot gas to that of a liquid fuel.…”

Section: (T ) / ( C )mentioning

confidence: 99%

Rich spray-flame propagating through a 2DLattice of alkane droplets in air

Nicoli

Denet

Haldenwang

2015

Combustion and Flame

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Section: (T ) / ( C )mentioning

confidence: 99%

Rich spray-flame propagating through a 2DLattice of alkane droplets in air

Nicoli

Denet

Haldenwang

2015

Combustion and Flame

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“…the burning velocity, cell size, cell depth, and lateral movement. (6)- (8) In Le > 1 premixed flames, where diffusive-thermal effects have a stabilizing influence, hydrodynamic effects promote the flame instability against diffusive-thermal effects, and then the cellular shape of flame fronts appears. (9) Thus, we cannot elucidate the flame instability without hydrodynamic effects.…”

Section: Introductionmentioning

confidence: 99%

The Effects of the Activation Energy on the Intrinsic Instability of Adiabatic and Non-Adiabatic Premixed Flames

Kaewpradap

Kadowaki

2008

JFST

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The effects of the activation energy on the intrinsic instability of adiabatic and non-adiabatic premixed flames were studied by two-dimensional unsteady calculations of reactive flows based on the compressible Navier-Stokes equation. A sinusoidal disturbance was superimposed on a planar flame to obtain the relation between the growth rate and the wave number, i.e. the dispersion relation, and the burning velocity of a cellular flame generated by intrinsic instability. When the Lewis number Le = 1, the activation energy had no effects on the instability of adiabatic flames. In non-adiabatic flames, the growth rate and burning velocity decreased as the activation energy increased, because the reduction of temperature at the flame front had a great influence on the flame instability at large activation energies. When Le < 1, the activation energy had much effects on both adiabatic and non-adiabatic flames. As the activation energy increased, the growth rate and burning velocity increased drastically, because of the increase of the Zeldovich number. In addition, the unstable behavior of cellular-flame fronts was observed at large activation energies. When Le > 1, on the other hand, the growth rate and burning velocity decreased as the activation energy increased. This was because that the stabilizing influence of diffusive-thermal effects became larger. The obtained results showed that the activation energy played an important role in the intrinsic instability of adiabatic and non-adiabatic premixed flames.

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“…[4][5][6][7][8] Moreover, the characteristics of cellular flames have been numerically investigated in detail by several researchers, [9][10][11][12] based on the diffusive-thermal model equation with constant-density approximation and on the compressible Navier-Stokes equation. Hydrodynamic and diffusive-thermal effects control the dynamic behavior of cellular flames.…”

Section: Introductionmentioning

confidence: 99%

Time Series Analysis on the Emission of Light from Methane-Air Lean Premixed Flames: Diagnostics of the Flame Instability

Kadowaki

Ohkura

2008

Trans. Japan Soc. Aero. S Sci.

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This paper deals with time series analysis on the emission of light from methane-air lean premixed flames. Planar flames formed on a flat burner at the equivalence ratio of unity; cellular flames formed at low equivalence ratios, because diffusive-thermal effects have a destabilizing impact in this range. We measured the light emission to get time series of intensity, and obtained the root mean square (RMS) and power spectrum density of the emission intensity normalized by its average value. The RMS increased as the equivalence ratio decreased, which is due to the increase in the instability level. The power spectrum density had a sharp peak at the frequency corresponding to the typical oscillation of premixed flames, and the 1= f spectrum appeared in the low frequency range. Moreover, we performed time series analysis on the normalized emission intensity. We obtained the attractor and correlation dimension to investigate the characteristics of the dynamic behavior of flame fronts. The characteristics depended strongly on the equivalence ratio, i.e. on intrinsic instability. Consequently, the obtained results suggest that time series analysis on the emission of light is applicable to diagnostics of the instability of premixed flames.

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A Numerical Study of Premixed Flames Darrieus-Landau Instability

Cited by 86 publications

References 17 publications

Rich spray-flame propagating through a 2DLattice of alkane droplets in air

Rich spray-flame propagating through a 2DLattice of alkane droplets in air

The Effects of the Activation Energy on the Intrinsic Instability of Adiabatic and Non-Adiabatic Premixed Flames

Time Series Analysis on the Emission of Light from Methane-Air Lean Premixed Flames: Diagnostics of the Flame Instability

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A Numerical Study of Premixed Flames Darrieus-Landau Instability

Cited by 86 publications

References 17 publications

Rich spray-flame propagating through a 2D­Lattice of alkane droplets in air

Rich spray-flame propagating through a 2D­Lattice of alkane droplets in air

The Effects of the Activation Energy on the Intrinsic Instability of Adiabatic and Non-Adiabatic Premixed Flames

Time Series Analysis on the Emission of Light from Methane-Air Lean Premixed Flames: Diagnostics of the Flame Instability

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Rich spray-flame propagating through a 2DLattice of alkane droplets in air

Rich spray-flame propagating through a 2DLattice of alkane droplets in air