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Sabelfeld K. and Kurbanmuradov 0. of the {i}-d ster, fcj;·, for the coagulation coefficient characterizing the collision frequencies between an {i}- and a {j}-d ster. We will also use the notation 8{j for the Kronecker function. Under rather general assumptions about the coagulation coefficients kij there are known existence and uniqueness results for the solution to the equation (1.1) (e.g., see [1]). There are many different mechanisms that bring two particles to each others: Brownian diffusion, gravitational Sedimentation, free molecule collisions, turbulent motion of the host gas, acoustic waves, the density, concentration and temperature gradients, particle electric charges, etc. We will deal here mainly with the case of coagulation of particles in a fully developed turbulence whose small scale statistical structure is specified by , the kinetic energy dissipation rate, and z/, the kinematic viscosity. The structure of k^ for different collision regimes is presented, e.g., in [15], and is well developed only in the case when there is no spatial dependence of the functions involved in the coagulation equation. The Smoluchowski equation in the inhomogeneous case governing the coagulation of particles dispersed by a velocity field v (i, x) reads + v(x, i) - Vn,(x, ) =
Monte Carlo Methods and Applications – de Gruyter
Published: Jan 1, 2000
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