Stochastic Model of Suspended Solid Dispersion

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Abstract
A stochastic model of suspended solid dispersion in turbulent open channel flow has been developed that can not only calculate concentration distributions in equilibrium, but also complex transition cases. The stochastic model gives a statement of probability for the constant movement of a dispersing particle based on measured turbulence parameters. By the Monte Carlo method, many random walks are calculated to determine the concentration of solids at a certain point. It is shown that the description by a diffusion equation is equivalent to that of a stochastic approach. The stochastic model of particle movement is composed from stochastic and deterministic velocity components, a time step, and a weighting function for the influence of concentration effects. A sensitivity analysis of the developed model is carried out. Applications are shown and compared with experiment and other analytical solutions.

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