In this study, the tunable algorithm of cluster-cluster aggregation developed by Filippov et al. 2000 for generating fractal aggregates formed by monodisperse spherical primary particles R1.C5 is extended to polydisperse primary particles. This new algorithm, termed FracVAL R1.C5 , is developed by using an innovative aggregation strategy. R1.C0 The algorithm is able to preserve the prescribed fractal dimension (D f ) R1.C4 and prefactor (k f ) R1.C4 for each aggregate, regardless of its size, with negligible error for lognormally distributed primary particles with the geometric standard deviation σ p,geo being as large as 3. In contrast, for polydisperse primary particles the direct use of Filippov et al. 2000 method, as is done by Skorupski et al. 2014, does not ensure the preservation of D f and k f for individual aggregates and it is necessary to generate a large number of aggregates to achieve the prescribed D f and k f on an ensemble basis. The performance of FracVAL is evaluated for aggregates consisting of 500 and 1000 R2.C4 monomers and for fractal dimension variation over the entire range of D f between 1 and 3 and k f between 0.1 and 2.7 R1.C5 . Aggregates consisting of 500 monomers R2.C4 are generated on average in less than 2.4 minutes on a common laptop, illustrating the efficiency of the proposed algorithm.
Experimental studies of soot morphology based on analysis of transmission electron microscopy (TEM) images usually neglect the potential effects of primary particle polydispersity and overlapping. In this study, fractal aggregates of different sizes consisting of polydisperse and overlapping primary particles were
The morphological
characteristics of soot are of primary importance
to quantify its effect on climate forcing and human health and also
to interpret the signals acquired in optically based soot diagnostics.
In the present study, the morphology of soot particles produced in
laminar coflow diffusion flames was investigated under different fuel
and oxidizer conditions. Particles were sampled thermophoretically
at the centerline at different heights above the burner in laminar
diffusion flames of three common fuels, namely, ethylene, propane,
and butane, at two sooting statuses, i.e., under the smoke point and
at the smoke point. The oxygen content in the oxidizer stream was
systematically varied. Different morphological parameters of mature
soot, including primary particle number, aggregate radius of gyration,
fractal dimension and prefactor, and overlapping, were obtained based
on analysis of transmission electron microscopy images. The diameter
and number of monomers were calculated by using automated methods
based on the Euclidean distance mapping and the relative optical density
methods, respectively. The other parameters were derived from these
two parameters and some empirical correlations. The fractal dimension
under different fuel and oxidizer conditions falls in a relatively
narrow range from 1.68 to 2.05, while the derived fractal prefactor
varies significantly from 0.24 to 2.66. An exhaustive comparison of
the morphological parameters obtained in this study with the literature
data suggests that our results fall within a range similar to those
reported in previous studies. The present results suggest that the
soot morphology does not display a clear trend of variation with the
change in oxygen index for all three hydrocarbon fuels studied, at
least for the fractal dimension and primary particle diameters obtained
in this study.
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