D. Hirshfeld et al., MOLECULAR-DYNAMICS STUDIES OF GRANULAR FLOW-THROUGH AN APERTURE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4404-4415
Molecular dynamics methods are used to Study two-dimensional gravity-d
riven granular flow through a horizontal aperture. Two distinct approa
ches to modeling the granular particles an studied. (a) Circular parti
cles subject to a strongly repulsive short-range interaction, together
with normal and tangential frictional damping forces. (b) Rigid nonco
nvex particles, each consisting of disks arranged as an equilateral tr
iangle, suitably spaced to provide a tangible indentation along each e
dge; the same repulsive interactions between disks in different grains
and normal frictional damping forces are incorporated, but transverse
damping is omitted, with the model relying on grain shape to resist s
liding motion. In order to allow accurate measurements under steady-st
ate conditions, a continuous-feed approach is adopted, in which grains
exiting through the hole are returned to the top of the material in t
he container. For both models the output flow is measured as a functio
n of aperture size, and the observed behavior is compared with previou
s theoretical and experimental results. Tests of the degree to which t
he models reproduce the depth independence of the flow are reported, a
nd the influence of the container width and the nature of the walls ar
e studied. The depth dependence of the pressure, the local stress dist
ribution, and the particle flow patterns are also examined.