Note that a distinction must be made between global
flow regimes, as in silos and bulk storage containers where flow behavior may be complex
or compound, and zones of flow behavior, where the nature of the flow pattern is similar
over the whole zone.
Coherent Flow and Plug Flow
The en-mass movement of a particulate array, without dislocation of
the points of co-ordination of the constituent particles. In rheological terms this mode
is not 'flow' as no deformation of the structure takes place.
Bed Flow
Movement of a bulk mass within a parallel confined channel, with
slip taking place on all wall contact surfaces while flow velocity variations occur across
the flow channel. Note that a parallel flow channel is often comprised of a regime that
changes from coherent movement to bed flow because the lower part of the section has
velocity contours imposed by the following section of the flow channel. The transition
from plug (or coherent) flow, to bed flow is virtually imperceptible.
Mass Flow
Movement of a bulk mass in a converging flow channel, with slip
taking place on all wall contact surfaces.
Internal Flow and Core Flow
A flow channel confined within a static mass of like product.
Poured Repose
An unconfined surface layer of flow, in which fresh product runs by
gravity over an inclined bed of previously deposited material. This normally occurs in the
filling of a bulk storage container from a single point of supply.
Drained Repose
An unconfined surface layer of flow, in which previously deposited
material disengages from the settled mass, to flow by gravity over the remaining inclined
bed of product.
Avalanching
Intermittent motions of 'poured' or 'drained' repose in which surges
of unconfined flow occur due to transient instabilities of flow restraining surface
irregularities.
Terracing
A phenomenon of collapsing sections of stored material into a
'draining' flow channel. It is characterized by the formation of a growing 'cliff' at the
boundary of an unstable 'rathole' until an inclined plane of failure develops under the
surface of the material to cause the coherent slip of a body of product towards the
draw-down region. A well developed system of this form is comprised of irregular
concentric 'steps' from the unchanged surrounding surface to the central region of draw.
Generally, the central region breaks up by convergence into chaotic chunks of disturbed
masses of weak cohesion.
In plan, the velocity discontinuities tend to follow spatial
orientation as the converging pattern closes in a similar manner to a camera iris rather
than fail in compression due to the dominance of circumferential stress. This behavior
reflects the cohesive strength of a settled product developing local failure planes as
stresses accumulate to exceed a threshold unconfined strength value.
Flushing and Flooding
The fluid-like behavior of a dilated bulk product flowing without
restraint due to virtual absence of internal shear strength: usually, a consequence of the
presence of excess gas in the interstitial voids sustaining the mass in a hydrodynamic
manner to prevent the development of particle to particle frictional forces.
Cohesive Arching
The formation of a stable flow obstruction over an outlet or within
a flow channel due to the bulk strength of the material exceeding the unconfined failure
strength at which the span of the arch would collapse because of the stresses acting on
the mass.
Mechanical Arching and Structural Arching
The formation of a stable flow obstruction resulting from the
particulate constituents coming together to form a load bearing arch that is capable of
sustaining the superimposed forces acting from the flow channel.
Dynamic Arching
The formation of unstable flow obstructions caused by either
transient cohesive arches within the flow channel, or erratic flow fluctuations resulting
from intermittent and unstable particulate structures that form in the flow channel. The
phenomena are characterized by regions of dilated bulk material under the moving arched
region, as flow is restrained by the temporary impediment to smooth deformation of the
mass.
Piping and Ratholes
A stable void that develops through a mass of static bulk material
as the live internal flow channel runs clear of product. The unconfined walls of the
'pipe' or 'rathole' having a bulk strength exceeding the 'unconfined failure strength',
Fc, of the mass. Note a large diameter of 'pipe' or 'rathole' is less stable than a
smaller one, hence a 'critical rathole size' is that diameter at which a stable rathole
cannot form within the bulk material.
Radial Flow
A flow channel that converges symmetrically in the horizontal plane.
Plane Flow
A flow channel that converges in one horizontal plane only.
Asymmetric Flow
A converging flow channel with different rates of convergence in
differing axes of the horizontal plane.
Sigma Two Relief
A specific form of asymmetric flow in which the flow channel
simultaneously converges in one horizontal plane and diverges in the other, usually at a
lower rate. The effect of minor divergence is to relax the minimum principal stress
confinement and allow easier deformation. Flow is then possible through narrower openings
and wall slip at lower converging angles.