Statistics of the scalar dissipation rate using direct numerical simulations and planar laser-induced fluorescence data

Markides, Christos N.; Chakraborty, Nilanjan

doi:10.1016/j.ces.2012.12.026

Cited by 7 publications

(2 citation statements)

References 52 publications

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“…The log-normal distribution provides an excellent fit for |∇Z| distribution in downstream locations for all flame zones. Slight discrepancies are observed for very small values of |∇Z|, which is consistent for the non-premixed and stratified combustion studies in the literature [86,87,88,89,90]. The PDFs of |∇C| in Fig.…”

Section: Stratified Flame Physicssupporting

confidence: 86%

Scalar gradient and flame propagation statistics of a flame-resolved laboratory-scale turbulent stratified burner simulation

Inanc

Chakraborty

2022

Combustion and Flame

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Section: Stratified Flame Physicssupporting

confidence: 86%

Scalar gradient and flame propagation statistics of a flame-resolved laboratory-scale turbulent stratified burner simulation

Inanc

Chakraborty

2022

Combustion and Flame

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“…( 11) can be used to obtain the three-dimensional curvature statistics in terms of its probability and second moment within the range given by −1∕ th ≤ k 3D ≤ 1∕ th and the agreement between k 3D and m statistics improves with decreasing window size around the mean value (not shown here). It is worth noting that a log-normal PDF distribution is often used to approximate the PDF of the scalar dissipation rate in passive scalar despite well-known discrepancy between the actual distribution and log-normal distribution at the tails of the PDFs (Markides and Chakraborty 2013). By the same token, Eq.…”

Section: That the Correlationmentioning

confidence: 99%

Relations Between Statistics of Three-Dimensional Flame Curvature and its Two-Dimensional Counterpart in Turbulent Premixed Flames

Chakraborty

Rasool

Ahmed

et al. 2022

Flow Turbulence Combust

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The relations between the actual flame curvature probability density function (PDF) evaluated in three-dimensions and its two-dimensional counterpart based on planar measurements have been analytically derived subject to the assumptions of isotropy and statistical independence of various angles and two-dimensional curvature. These relations have been assessed based on Direct Numerical Simulation (DNS) databases of turbulent premixed (a) statistically planar and (b) statistically axisymmetric Bunsen flames. It has been found that the analytically derived relation interlinking the PDFs of actual three-dimensional curvature and its two-dimensional counterpart holds reasonably well for a range of curvatures around the mean value defined by the inverse of the thermal flame thickness for different turbulence intensities across different combustion regimes. The flame surface is shown to exhibit predominantly two-dimensional cylindrical curvature but there is a significant probability of finding saddle type flame topologies and this probability increases with increasing turbulence intensity. The presence of saddle type flame topologies affects the ratios of second and third moments of two-dimensional and three-dimensional curvatures. It has been demonstrated that the ratios of second and third moments of two-dimensional and three-dimensional curvatures cannot be accurately predicted based on two-dimensional measurements. The ratio of the third moments of two-dimensional and three-dimensional curvatures remains positive and thus the qualitative nature of curvature skewness can still be obtained based on two-dimensional curvature measurements. As the curvature skewness is often taken to be a marker of the Darrius-Landau instability, the conclusion regarding the presence of this instability can potentially be taken from the two-dimensional curvature measurements.

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High-resolution LES of a starting jet

2016

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Statistics of the scalar dissipation rate using direct numerical simulations and planar laser-induced fluorescence data

Cited by 7 publications

References 52 publications

Scalar gradient and flame propagation statistics of a flame-resolved laboratory-scale turbulent stratified burner simulation

Scalar gradient and flame propagation statistics of a flame-resolved laboratory-scale turbulent stratified burner simulation

Relations Between Statistics of Three-Dimensional Flame Curvature and its Two-Dimensional Counterpart in Turbulent Premixed Flames

High-resolution LES of a starting jet

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