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A simple equation for the diffusion coefficient of large particles in a turbulent gas flow

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Abstract

Published models for particle diffusion coefficients are usually only applicable for small particles because they make assumptions that are not valid for larger particles, e.g. that Stokes law is valid, that gravity may be neglected or that the particle response time is less than the timescale of the turbulence. Nevertheless, there are situations where the dispersion of particles > 100 μm dia by a turbulent flow can be an important effect. In this paper it is shown that for particles ≳ 100 μm the equations for the particle diffusion coefficient reduce to a very simple form. It is also shown that the resulting equation gives good agreement with the results of numerical simulations.

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