Abstract
The effect and modelling of the spatial correlation between particle velocities is investigated in two-phase turbulent flows. A statistical model based on the joint fluid-particle probability distribution function kinetic equation is introduced, which accounts for the modification of the collision probability due to the correlation of the velocities of colliding particles. To study the long-range spatial correlation of the particle velocities, a conditional average, for a given fluid turbulent flow, is introduced. This approach allows us to separate the instantaneous velocity of any particle into two parts: a turbulent contribution, from an underlying continuous velocity field shared by all the particles, and a random contribution obeying the ‘molecular chaos’ assumption. This article was chosen from selected Proceedings of the Second International Symposium on Turbulence and Shear Flow Phenomena (KTH-Stockholm, 27-29 June 2001) ed E Lindborg, A Johansson, J Eaton, J Humphrey, N Kasagi, M Leschziner and M Sommerfeld.
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