155 research outputs found
Shear-induced diffusion in non-local granular flows
We investigate the properties of self-diffusion in heterogeneous dense
granular flows involving a gradient of stress and inertial number. The study is
based on simulated plane shear with gravity and Poiseuille flows, in which
non-local effects induce some creep flow in zones where stresses are below the
yield. Results show that shear-induced diffusion is qualitatively different in
zones above and below the yield. Below the yield, diffusivity is no longer
governed by velocity fluctuations, and we evidenced a direct scaling between
diffusivity and local shear rate. This is interpreted by analysing the grain
trajectories, which exhibit a caging dynamics developing in zones below the
yield. We finally introduce an explicit scaling for the profile of local
inertial number in these zones, which leads to a straightforward expression of
the diffusivity as a function of the stress and position in non-local flows.Comment: 7 pages, 5 figure
Dense granular flows: interpolating between grain inertia and fluid viscosity based constitutive laws
A scalar constitutive law was recently obtained for dense granular flows from
a two-grain argument, both in the inertial regime (grain inertia) and in the
viscous regime. As the resulting law is not exactly the same in both regimes,
we here provide an expression for the crossover between both regimes.Comment: 3 page
Dense granular flows: two-particle argument accounts for friction-like constitutive law with threshold
A scalar constitutive law is obtained for dense granular flows, both in the
inertial regime where the grain inertia dominates, and in the viscous regime.
Considering a pair of grains rather than a single grain, the classical
arguments yield a constitutive law that exhibits a flow threshold expressed as
a finite effective friction at flow onset. The value of the threshold is not
predicted. The resulting law seems to be compatible with existing data,
provided the saturation at high velocity (collisional regime) is added
empirically. The law is not exactly the same in both regimes, which seems to
indicate that there is no "universal" law.Comment: 4 page
Note and calculations concerning elastic dilatancy in 2D glass-glass liquid foams
When deformed, liquid foams tend to raise their liquid contents like immersed
granular materials, a phenomenon called dilatancy. We have aready described a
geometrical interpretation of elastic dilatancy in 3D foams and in very dry
foams squeezed between two solid plates (2D GG foams). Here, we complement this
work in the regime of less dry 2D GG foams. In particular, we highlight the
relatively strong dilatancy effects expected in the regime where we have
predicted rapid Plateau border variations.Comment: 12 pages, 3 tables, 5 figure
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