A piloted turbulent natural-gas diffusion dame is investigated numeric
ally using a 2D elliptic Monte Carlo algorithm to solve for the joint
probability density function (PDF) of velocity and composition. Result
s from simulations are compared to detailed experimental data: measure
ments of temperature statistics, data on mean velocity and turbulence
characteristics and data on OH. Conserved-scalar/constrained-equilibri
um chemistry calculations were performed using three different models
for scalar micro-mixing: the interaction by exchange with the mean (IE
M) model, a coalescence/dispersion (C/D) model and a mapping closure m
odel. All three models yield good agreement with the experimental data
for the mean temperature. Temperature standard deviation and PDF shap
es are generally predicted well by the C/D and mapping closure models,
whereas the IBM model gives qualitatively incorrect results in parts
of the domain. It is concluded that the choice of micro-mixing model c
an have a strong influence on the quality of the predictions. The same
flame was also simulated using reduced chemical kinetics obtained fro
m the intrinsic low-dimensional manifold (ILDM) approach. Comparison w
ith the constrained-equilibrium results shows that the shape of the OH
concentration profiles is recovered better in the ILDM simulation, an
d that the ILDM reduced chemical kinetics can correctly predict super-
equilibrium OH.