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Original Articles

Extension of the Smoluchowski Theory to Transitions from Dilute to Dense Regime of Brownian Coagulation: Triple Collisions

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Pages 813-821 | Received 07 Apr 2014, Accepted 28 May 2014, Published online: 11 Aug 2014

Figures & data

FIG. 1. To the derivation of EquationEquation (6): the perimeter of the calculated volume is represented by a thick solid line.
FIG. 1. To the derivation of EquationEquation (6)[6] : the perimeter of the calculated volume is represented by a thick solid line.
FIG. 2. Self-preserving size distribution function calculated with consideration of pair collisions (dashed curves) and pair and triple collisions (solid curves).
FIG. 2. Self-preserving size distribution function calculated with consideration of pair collisions (dashed curves) and pair and triple collisions (solid curves).
FIG. 3. Enhanced collision frequency in simulations of Brownian coagulation of spherical agglomerates, df = 3, with βdilute = 6.4 × 10− 16 m3/s and the initial size 2R0 = 1 μm.
FIG. 3. Enhanced collision frequency in simulations of Brownian coagulation of spherical agglomerates, df = 3, with βdilute = 6.4 × 10− 16 m3/s and the initial size 2R0 = 1 μm.
FIG. 4. Temporal dependence of the mean number of monomers in spherical agglomerates for f = 3%.
FIG. 4. Temporal dependence of the mean number of monomers in spherical agglomerates for f = 3%.
FIG. 5. Temporal dependence of the geometric standard deviation, σ, the enhanced collision frequency, γ, and the volume fraction, f, in simulation of the fractal particles (df = 1.8) growth kinetics.
FIG. 5. Temporal dependence of the geometric standard deviation, σ, the enhanced collision frequency, γ, and the volume fraction, f, in simulation of the fractal particles (df = 1.8) growth kinetics.

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