期刊
FRACTAL AND FRACTIONAL
卷 6, 期 9, 页码 -出版社
MDPI
DOI: 10.3390/fractalfract6090529
关键词
Langevin dynamics; coagulation kernels; transition regime; diffusive Knudsen number
This study discusses the ability of the Langevin equation to predict coagulation kernels in the transition regime and proposes a new simplified formula for determining coagulation kernels in this regime. The findings are of significance for understanding the collision frequency of suspended particles.
The ability of the Langevin equation to predict coagulation kernels in the transition regime (ranging from ballistic to diffusive) is not commonly discussed in the literature, and previous numerical works are lacking a theoretical justification. This work contributes to the conversation to gain better understanding on how the trajectories of suspended particles determine their collision frequency. The fundamental link between the Langevin equation and coagulation kernels based on a simple approximation of the former is discussed. The proposed approximation is compared to a fractal model from the literature. In addition, a new, simple expression for determining the coagulation kernels in the transition regime is proposed. The new expression is in good agreement with existing methods such as the flux-matching approach proposed by Fuchs. The new model predicts an asymptotic limit for the kinetics of coagulation in the transition regime.
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