Abstract
This paper presents a new PDF model for turbulent fluid-particles interactions in the near wall region. Such models have already been presented by Swailes & Reeks [1] or more recently by Van Dijk & Swailes [2]. The PDF approach allows calculating directly the spatial evolution of the wall normal particles velocity distribution. As shown by Swailes & Reeks [1] this approach as many advantages. First, all the statistical moments used (concentration, mean velocity, fluctuating velocities) are contained in the PDF. Thus all the equations for those moments are coupled together within the PDF equation. Second, the boundary conditions can be easily specified, even for the most complex cases as partial absorption. The present study proposes to simplify the fluid particle interaction term of the PDF equation with a new closure model. This simplification is inspired by the BGK models. The paper presents first the model and its numerical implementation. It is evaluated in a wall bounded homogenous turbulence as described by Swailes & Reeks [1]. The results of the present model are then compared to those obtained by Swailes & Reeks [1]. The model is also applied to a channel flow boundary layer configuration. Those simulations illustrate the mechanisms responsible for particles dispersion in the boundary layer turbulence.
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