Hydrodynamic modeling of granular flows in a modified Couette cell

Jop, Pierre

doi:10.1103/physreve.77.032301

Cited by 41 publications

(29 citation statements)

References 16 publications

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“…The velocity field is well approximated by an errorfunction [11,12,[22][23][24] with a width considerably increasing from bottom to top (free surface) [19,[24][25][26]. The width of the shear-band is considerably larger than only a few particle diameters, as reported in many other systems.…”

Section: Discussion Of the Present Approachmentioning

confidence: 56%

The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment

Luding¹,

Alonso‐Marroquín

2011

Granular Matter

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Dry granular materials in a split-bottom ring shear cell geometry show wide shear bands under slow, quasistatic, large deformation. This system is studied in the presence of contact adhesion, using the discrete element method (DEM). Several continuum fields like the density, the deformation gradient and the stress tensor are computed locally and are analyzed with the goal to formulate objective constitutive relations for the flow behavior of cohesive powders. From a single simulation only, by applying time-and (local) space-averaging, and focusing on the regions of the system that experienced considerable deformations, the critical-state yield stress (termination locus) can be obtained. It is close to linear, for non-cohesive granular materials, and nonlinear with peculiar pressure dependence, for adhesive powdersdue to the nonlinear dependence of the contact adhesion on the confining forces. The contact model is simplified and possibly will need refinements and additional effects in order to resemble realistic powders. However, the promising method of how to obtain a critical-state yield stress from a single numerical test of one material is generally applicable and waits for calibration and validation.

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Section: Discussion Of the Present Approachmentioning

confidence: 56%

The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment

Luding¹,

Alonso‐Marroquín

2011

Granular Matter

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“…Examples include grainsize-dependent shear features in the steady flow profiles of granular media. A local rheology can be extracted from uniform simple shearing data of a granular media 1 ; however, nonuniform steady flows of the same material can be seen to violate such a relation [2][3][4] , as the grain-size sets up an internal length-scale that effectively penalizes variations in flow-rate over space. A more recently observed nonlocal manifestation is the mechanically-induced creep effect, also known as "secondary rheology" [5][6][7] .…”

Section: Introductionmentioning

confidence: 99%

Nonlocal modeling of granular flows down inclines

2015

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Flows of granular media down a rough inclined plane demonstrate a number of nonlocal phenomena. We apply the recently proposed nonlocal granular fluidity model to this geometry and find that the model captures many of these effects. Utilizing the model's dynamical form, we obtain a formula for the critical stopping height of a layer of grains on an inclined surface. Using an existing parameter calibration for glass beads, the theoretical result compares quantitatively to existing experimental data for glass beads. This provides a stringent test of the model, whose previous validations focused on driven steady-flow problems. For layers thicker than the stopping height, the theoretical flow profiles display a thickness-dependent shape whose features are in agreement with previous discrete particle simulations. We also address the issue of the Froude number of the flows, which has been shown experimentally to collapse as a function of the ratio of layer thickness to stopping height. While the collapse is not obvious, two explanations emerge leading to a revisiting of the history of inertial rheology, which the nonlocal model references for its homogeneous flow response.

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“…the revised Goodman-Cowin model), in which the second time derivative of m is used, is more appropriate to take into account the microstructural effects of the short-term instantaneous inelastic collision (rapid flow) [9]. Theoretical models to slow and dense laminar flows [9,12,[21][22][23], and for rapid laminar flows [9,[15][16][17][18][19][20][24][25][26][27][28][29][30][31][32][33][34] have been developed. Of particular interest are the extensions of the Wilmánski and revised Goodman-Cowin models for slow and rapid turbulent flows, respectively, in which the distributions of the turbulent kinetic energy and turbulent dissipation are found to be similar to those of Newtonian fluids in turbulent boundary layer flows [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Rapid dry granular flows down an incline: a constitutive theory with an independent kinematic internal length

Fang

2015

Meccanica

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Rapid, isothermal, gravity-driven dry granular flows with incompressible solid grains down an incline are investigated by the thermodynamically consistent constitutive model. To this end, the revised Goodman-Cowin theory is applied for the time evolution of the volume fraction, in which a kinematic internal length is introduced. The Müller-Liu entropy principle is carried out to derive the equilibrium constitutive models, with their dynamic responses postulated in the context of a quasi-static theory. Numerical simulations show that both the volume fraction and velocity increase from the minimum values on the plane toward the maximum values on the free surface with an ''exponential-like'' tendency, while the internal length increases in a logarithmic manner. With the equilibrated stress system in the revised Goodman-Cowin theory, the kinematic internal length is recognized as a characteristic length of the long-term enduring frictional contact and sliding between the grains (a characteristic length of the inelastic network among the grains).

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Hydrodynamic modeling of granular flows in a modified Couette cell

Cited by 41 publications

References 16 publications

The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment

The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment

Nonlocal modeling of granular flows down inclines

Rapid dry granular flows down an incline: a constitutive theory with an independent kinematic internal length

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