Modeling anisotropic Reynolds-stress dissipation in particle- or droplet-laden flows

Particles or droplets dispersed in turbulent flows at sufficiently high volume loadings lead to modifications of turbulence characteristics. More specifically, in a detailed experimental investigation by Poelma and coworkers, where the particle phase moves with a non-zero mean velocity relative to the fluid phase, it was found that anisotropic Reynolds-stress dissipation is induced. Recently, we have proposed a model that can account for this effect in RANS-based and PDF method simulations. In our previous work, however, no simulation results of the RANS model formulation were presented. In the present work, a new compact tensorial RANS formulation is presented and the new formulation is validated against the experimental data of Poelma and coworkers.