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Impact of Turbulent Flow and Mean Mixture Fraction Results on Mixing Model Behavior in Transported Scalar PDF Simulations of Turbulent Non-premixed Bluff Body Flames

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Abstract

Numerical simulation results are presented for three turbulent jet diffusion flames, stabilized behind a bluff body (Sydney Flames HM1-3). Interaction between turbulence and combustion is modeled with the transported joint-scalar PDF approach. The focus of the study is on the impact of the quality of simulation results in physical space on the behavior of two micro-mixing models in composition space: the Euclidean Minimum Spanning Tree (‘EMST’) model and the modified Curl coalescence dispersion (‘CD’) model. Profiles of conditional means and variances of thermo-chemical quantities, conditioned on the mixture fraction, are discussed in the recirculation region and in the neck zone behind. The impact of the flow and mixing fields in physical space on the mixing model behavior in composition space is strong for the CD model and increases as the turbulence – chemistry interaction becomes stronger. The EMST conditional profiles, on the contrary, are hardly affected.

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Abbreviations

CD:

coalescence/dispersion

\( C_{\theta } \) :

micro-mixing model constant

D b :

bluff body diameter (m)

EMST:

Euclidean Minimum Spanning Tree

F :

probability density function

F :

mass density function

IP:

isotropization of production

ISAT:

in situ adaptive tabulation

J ik :

diffusive flux of species k in direction i (kg/(m2s))

K :

turbulent kinetic energy (m2/s2)

LRR:

Launder–Reece–Rodi

NL:

non-linear

PDF:

probability density function

R :

radial distance (m)

R b :

bluff body radius (m)

SM:

Reynolds stress model

S k :

chemical source term for species k (kg/s)

Sc t :

turbulent Schmidt number (–)

T :

temperature (K)

TR:

time scale ratio (–)

U I :

mean velocity component (m/s)

x I :

coordinate direction

X :

axial coordinate (m)

Y :

species mass fraction (–)

Γ t :

turbulent diffusivity (Pa s)

ɛ :

turbulent dissipation rate (m2/s3)

μ t :

turbulent viscosity

ρ :

density (kg/m3)

ψ :

composition space sample variable (–)

ξ :

mixture fraction (–)

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Authors and Affiliations

  1. Department of Flow, Heat and Combustion Mechanics, Ghent University – UGent, Sint-Pietersnieuwstraat 41, 9000, Ghent, Belgium

    Bart Merci

  2. Postdoctoral Fellow of the Fund of Scientific Research – Flanders (Belgium)(FWO-Vlaanderen), Brussels, Belgium

    Bart Merci

  3. CIEMAT, Madrid, Spain

    Bertrand Naud

  4. Department of Multi-scale Physics, Delft University of Technology, Delft, The Netherlands

    Dirk Roekaerts

Authors
  1. Bart Merci
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  2. Bertrand Naud
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  3. Dirk Roekaerts
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Correspondence to Bart Merci.

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Merci, B., Naud, B. & Roekaerts, D. Impact of Turbulent Flow and Mean Mixture Fraction Results on Mixing Model Behavior in Transported Scalar PDF Simulations of Turbulent Non-premixed Bluff Body Flames. Flow Turbulence Combust 79, 41–53 (2007). https://doi.org/10.1007/s10494-006-9063-1

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