WIAS Preprint No. 421, (1998)

Coagulation of aerosol particles in turbulent flows


  • Kurbanmuradov, Orazgeldy
  • Sabelfeld, Karl

2010 Mathematics Subject Classification

  • 65C05 76F99


  • coagulation of particles, turbulent flows, random coagulation coefficient, numerical study




Coagulation of particles in turbulent flows is studied. The size distribution of particles is governed by Smoluchowski equation with random collision coefficient. The random coagulation coefficient is derived by a generalization of the approach suggested by Saffman and Turner [12]. The coagulation process is analysed in three main cases: (1) Tc, the characteristic coagulation time is much less than Tw, the characteristic Lagrangian time of the turbulent flow, (2) conversely, Tw << Tc, and (3), these times are of the same order: Tw   Tc. A special stochastic time is introduced which drastically simplifies the analysis of the influence of the intermittency. A detailed numerical study is given for two cases with known explicit solutions of Smoluchowski equation. The numerical analysis in the turbulent collision regime is based on the stochastic algorithm presented in the book [9] and developed in [11], [10], and [4].

Appeared in

  • Monte Carlo Methods Appl., 6(2000), pp. 211-253

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