A cluster-cluster aggregation model with tunable fractal dimension

Effective Diameters for Collisions of Fractal-like Aggregates: Recommendations for Improved Aerosol Coagulation Frequency Predictions

“…, [39] underestimates experimentally observed aggregate growth rates (e.g., projected area equivalent diameter (76) in these flames (by ca. 33%).…”

Fractal-like Aggregates: Relation between Morphology and Physical Properties

“…Nevertheless, meaningful calculations of fractal aggregate properties are still possible using so-called tunable numerical generation methods, such as the algorithms of Refs. (4,13,14), which yield structures with arbitrary prescribed fractal dimension and prefactor values. In contrast to the already mentioned "mimicking" algorithms, these methods are based on the assumption that the scaling dependence [1] is fulfilled exactly for each aggregate size, which is equivalent to zero width of the distribution function F, i.e.,…”

“…Each of the agglomeration events includes placing the geometrical centers of two clusters to random points at a distance given by Eq. [14] and their rotation (as solid bodies) until the combining clusters have at least one contact point and no overlapping. After performing the procedure for all clusters on one level, another level involving larger clusters starts, etc.…”

Comparison of two parameterizations of a turbulence-induced flocculation model through global sensitivity analysis

“…The values are reported in Table 2. Note that it is possible to derive values of the fractal dimension based on theoretical considerations of aggregation mechanisms at the molecular scale (see for instance Meakin, 1984;Thouy and Jullien, 1994;Vahedi and Gorczyca, 2012). However, these results were not used here, because of a lack of knowledge about these mechanisms for the situation we are considering.…”