The laminar flamelet concept is based on the premise that scalar prope
rties in laminar diffusion flames are nearly universal functions of mi
xture fraction. It has been well-tested and proven for temperature and
the major species, however, few studies have addressed its applicabil
ity for minor species especially the radical species. In this study, w
e present a direct numerical simulation of an axisymmetric, laminar, m
ethane-air diffusion flame to examine these universal relationships, i
ncluding the major and minor chemical species, and the radical species
. The numerical model solves the axisymmetric, time-dependent, reactiv
e-flow Navier-Stokes equations coupled with sub-models for soot format
ion and radiation transport, and includes a detailed reaction mechanis
m for methane-air combustion. Quantitative comparisons with existing e
xperimental data show a slightly wider computed flame compared to the
experimental flame, however, the peak values and radial locations of t
emperature and soot volume fraction line up well with the experimental
measurements. To study the universal relationships, scatter plots are
made for temperature and the major and minor species throughout the e
ntire flame and compared with existing experimental measurements. Exce
llent agreement is obtained between the computations and experiments f
or temperature and mole fractions of CH4, O-2, OH, H2O, O, H, CO2 and
N-2, as a function of mixture fraction in the fuel lean, stoichiometri
c and fuel rich regions of the flame. The computations underpredicted
the concentration of H-2 and CO in the fuel rich region, however, exce
llent agreement is obtained in the fuel lean and stoichiometric region
s. The computations also overpredict the concentration of CH3 in the s
toichiometric and fuel rich regions, however, the peak concentration o
ccurs at the same mixture fraction for both the experiments and comput
ations. The scatter plots indicate that many of the species studied, i
ncluding the minor species and radical species, can be considered univ
ersal functions of mixture fraction, however some of the species show
more scatter than others. The species which showed the least scatter w
ere those whose production rates are fastest in the stoichiometric and
fuel lean regions of the flame. Those species whose production rates
were highest in the very fuel rich region showed less universality wit
h mixture fraction.