Vvr. Natarajan et al., LOCAL MEASUREMENTS OF VELOCITY FLUCTUATIONS AND DIFFUSION-COEFFICIENTS FOR A GRANULAR MATERIAL FLOW, Journal of Fluid Mechanics, 304, 1995, pp. 1-25
Measurements were made of two components of the average and fluctuatin
g velocities, and of the local self-diffusion coefficients in a flow o
f granular material. The experiments were performed in a 1 m-high vert
ical channel with roughened sidewalls and with polished glass plates a
t the front and the back to create a two-dimensional flow. The particl
es used were glass spheres with a nominal diameter of 3 mm. The flows
were high density and were characterized by the presence of long-durat
ion frictional contacts between particles. The velocity measurements i
ndicated that the flows consisted of a central uniform regime and a sh
ear regime close to the walls. The fluctuating velocities in the trans
verse direction increased in magnitude from the centre towards the wal
ls. A similar variation was not observed for the streamwise fluctuatio
ns. The self-diffusion coefficients showed a significant dependence on
the fluctuating velocities and the shear rate. The velocity fluctuati
ons were highly anistropic with the streamwise components being 2 to 2
.5 times the transverse components. The self-diffusion coefficients fo
r the streamwise direction were an order-of-magnitude higher than thos
e for the transverse direction. The surface roughness of the particles
led to a decrease in the self-diffusion coefficients.