Surface density function in premixed turbulent combustion modeling, similarities between probability density function and flame surface approaches

Vervisch, Luc; Bidaux, E.; Bray, K. N. C.; Kollmann, W.

doi:10.1063/1.868693

Cited by 139 publications

(83 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…• Recent studies [35] [39] have shown that flame surface density and PDF approaches are related. In fact, E may be defined as the density of the iso-level c = c* surface, where c is the progress variable.…”

Section: Commentsmentioning

confidence: 96%

See 1 more Smart Citation

Reynolds Averaged and Large Eddy Simulation Modeling for Turbulent Combustion

Veynante

Poinsot

1997

New Tools in Turbulence Modelling

View full text Add to dashboard Cite

Section: Commentsmentioning

confidence: 96%

“…A summary and a comparison of various closure schemes for the E-equation (29) may be found in [14]. Recent developments are discussed in several papers [19] [38] [39] [41].…”

Section: Flame Surface Density Approachesmentioning

confidence: 99%

Reynolds Averaged and Large Eddy Simulation Modeling for Turbulent Combustion

Veynante

Poinsot

1997

New Tools in Turbulence Modelling

View full text Add to dashboard Cite

“…The presence of an exponential tails can be of particular importance in practical applications for combustion modeling [49][50][51][52]. has an intermittent nature, its PDF is very sensitive to the choice of the range for the horizontal axis.…”

Section: Probability Density Functionsmentioning

confidence: 99%

Statistical analysis of the velocity and scalar fields in reacting turbulent wall-jets

2015

View full text Add to dashboard Cite

The concept of local isotropy in a chemically reacting turbulent wall-jet flow is addressed using direct numerical simulation (DNS) data. Different DNS databases with isothermal and exothermic reactions are examined. The chemical reaction and heat release effects on the turbulent velocity, passive scalar and reactive species fields are studied using their probability density functions (PDF) and higher order moments for velocities and scalar fields, as well as their gradients. With the aid of the anisotropy invariant maps for the Reynolds stress tensor the heat release effects on the anisotropy level at different wall-normal locations are evaluated and found to be most accentuated in the near-wall region. It is observed that the small-scale anisotropies are persistent both in the near-wall region and inside the jet flame. Two exothermic cases with different Damköhler number are examined and the comparison revealed that the Damköhler number effects are most dominant in the near-wall region, where the wall cooling effects are influential. In addition, with the aid of PDFs conditioned on the mixture fraction, the significance of the reactive scalar characteristics in the reaction zone is illustrated. We argue that the combined effects of strong intermittency and strong persistency of anisotropy at the small scales in the entire domain can affect mixing and ultimately the combustion characteristics of the reacting flow. * Version accepted for publication (postprint) on Physics of Fluids 27 025102 (2015)† Electronic address: zeinab@mech.kth.se.

show abstract

“…The FSD in Eq. (1) can be calculated directly from the DNS data using (Pope, 1988(Pope, , 1990Vervisch et al, 1995) …”

Section: Flame Surface Density and Flame Stretchmentioning

confidence: 99%

“…The contribution of nonpremixed part to the mixed mode combustion can be included using an appropriate combustion model as has been done in an earlier study (Domingo et al, 2002). One popular approach to model premixed part is the flame surface density (FSD) based modelling (Pope, 1988;Candel and Poinsot, 1990;Trouvé and Poinsot, 1994;Vervisch et al, 1995). The balance equation for the FSD, Σ, which is defined as the flame surface area per unit volume, is written as (Veynante and Vervisch, 2002)…”

Section: Introductionmentioning

confidence: 99%

Investigation of Flame Stretch in Turbulent Lifted Jet Flame

Ruan

Swaminathan

Mizobuchi

2014

Combustion Science and Technology

View full text Add to dashboard Cite

DNS data of a laboratory-scale turbulent lifted hydrogen jet flame has been analysed to show that this flame has mixed mode combustion not only at the flame base but also in downstream locations. The mixed mode combustion is observed in instantaneous structures as in earlier studies and in averaged structure, in which the predominant mode is found to be premixed combustion with varying equivalence ratio. The nonpremixed combustion in the averaged structure is observed only in a narrow region at the edge of the jet shear layer. The analyses of flame stretch show large probability for negative flame stretch leading to negative surface averaged flame stretch. The displacement speed-curvature correlation is observed to be negative contributing to the negative flame stretch and partial premixing resulting from jet entrainment acts to reduce the negative correlation. The contribution of turbulent straining to the flame stretch is observed to be negative when the scalar gradient aligns with the most extensive principal strain rate. The physics behind the negative flame stretch resulting from turbulent straining is discussed and elucidated through a simple analysis of the flame surface density transport equation.

show abstract

Surface density function in premixed turbulent combustion modeling, similarities between probability density function and flame surface approaches

Cited by 139 publications

References 17 publications

Reynolds Averaged and Large Eddy Simulation Modeling for Turbulent Combustion

Reynolds Averaged and Large Eddy Simulation Modeling for Turbulent Combustion

Statistical analysis of the velocity and scalar fields in reacting turbulent wall-jets

Investigation of Flame Stretch in Turbulent Lifted Jet Flame

Contact Info

Product

Resources

About