Particle transport in a three-dimensional, temporally evolving mixing
layer has been calculated using large eddy simulation of the incompres
sible Navier-Stokes equations. The initial fluid velocity field was ob
tained from a separate simulation of fully developed turbulent channel
flow. The momentum thickness Reynolds number ranged from 710 in the i
nitial field to 4460 at the end of the calculation. Following a short
development period, the layer evolves nearly self-similarly. Fluid vel
ocity statistics are in good agreement with both the direct numerical
simulation results of Rogers and Moser (1994) and experimental measure
ments of Bell and Mehta (1990). Particles were treated in a Lagrangian
manner by solving the equation of motion motion for an ensemble of 20
,000 particles. The particles have the same material properties as in
the experiments of Hishida ct al. (1992), i.e., glass beads with diame
ters of 42, 72, and 135 mu m. Particle motion is governed by drag and
gravity, particle-particle collisions are neglected, and the coupling
is from fluid to particles only. In general, the mean and fluctuating
particle velocities are in reasonable agreement with the experimental
measurements of Hishida et al. (1992). Consistent with previous studie
s, the Stokes number (St) corresponding to maximum dispersion increase
s as the flow evolves when defined using a fixed fluid timescale. Defi
nition of the Stokes number using the time-dependent vorticity thickne
ss, however, shows a maximum in dispersion throughout the simulation f
or St approximate to 1.