Large-eddy simulation of turbulent gas–particle flow in a vertical channel: effect of considering inter-particle collisions

By Yasufumi Yamamoto, M. Potthoff, Toshitsugu Tanaka, T. Kajishima, Y. Tsuji. Journal of Fluid Mechanics, 2001

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Partitioning of particle velocities in gas–solid turbulent flows into a continuous field and a spatially uncorrelated random distribution: theoretical formalism and numerical study (2005, background): “The influence of the subgrid motions on particle transport further decreases with increasing particle response times compared to the time scales of the subgrid motions (e.g. see Yeh & Lei 1991; Deutsch & Simonin 1991; Simonin, Deutsch & Boivin 1995; Wang & Squires 1996; Boivin, Simonin & Squires 200”
Turbulence characteristics of particle-laden pipe flow (2007, methodology): “The effect is already noticable for particle volume fractions around 10−4 (Yamamoto et al. 2001; Li et al. 2001), while a strong effect was observed for particle volume fractions around 1 % (Vreman et al. 2004).”