Brazil nut effect in a rectangular plate under horizontal vibration

Chung, Fei Fang; Liaw, Sy-Sang; Ju, Chia-Yi

doi:10.1007/s10035-008-0122-2

Cited by 14 publications

(8 citation statements)

References 16 publications

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“…Differences in size and density of the particles cause segregation of the material, which has been the focus of many works. [16][17][18][19][20][21] Studies of bidisperse granular mixtures have been done by means of event driven simulations in the dilute limit [22][23][24] and kinetic theory based approaches 25,26 are shown to be applicable. Very few studies investigating the rheology of mixtures for dense flows have been done.…”

Section: Introductionmentioning

confidence: 99%

Rheology of binary granular mixtures in the dense flow regime

2011

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We study the rheology of granular mixtures in a steady, fully developed, gravity-driven flow on an inclined plane, by means of discrete element method (DEM) simulations. Results are presented for a single component system and binary mixtures with particles of different size and density. Inclination angles, composition, size ratios and density ratios are varied to obtain different segregated configurations at equilibrium. Steady state profiles of the mean velocity, volume fractions, shear stress, shear rate, inertial number and apparent viscosity across the depth of the flowing layer are reported for the different cases. The viscosity varies with height and is found to depend on the local bulk density and composition, which, in turn, depend on the size ratio, the mass ratio and the degree of segregation. For a single component system, a viscoplastic rheological model [P. Jop et al., Nature 441, 727 (2006)] describes the data quite well. We propose a modification of the model for the case of mixtures. The mixture model predicts the viscosity for both well-mixed and segregated granular mixtures differing in size, density or both, using the same model parameters as obtained for the single component system. The predictions of a model for the volume fraction of the mixtures also agree well with simulation results.

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Section: Introductionmentioning

confidence: 99%

Rheology of binary granular mixtures in the dense flow regime

2011

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“…This makes it possible to accurately study the system in a microscopic way, as particle's positions and velocities can be measured for most particles at any time. Also the collective behavior can be captured [2][3][4][5][6]. Implied by the energy injection mechanism, the horizontal kinetic energy of the grains can be quite different from the vertical kinetic energy [7,8].…”

Section: Introductionmentioning

confidence: 99%

Effect of the vibration profile on shallow granular systems

Cordero

Risso

Soto

2015

Phil. Trans. R. Soc. A.

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We describe the collective behavior of a system of many inelastic spherical particles inside a box which is being periodically vibrated. The box is shallow, with large horizontal dimensions, while the height is less than two particle diameters. The vibrations are not symmetric: the time the box is moving up is, in general, different to the time it is moving down. The limit cycles of isolated grains are largely affected by the asymmetry of the vibration mode, increasing the size in phase space of the chaotic regions. When many grains are placed in the box, the phase separation between dense, solid-like regions, coexisting with fluid-like regions takes place at smaller global densities for asymmetric vibration profiles. Besides, the order parameter of the transition takes larger values when asymmetric forcing is used.

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“…Shallow granular systems have attracted attention because they allow a detailed analysis of both the collective behavior of the system as well as the motion of individual grains [7][8][9][10][11][12]. Placing monodisperse inelastic spheres in a vertically vibrated shallow box, a particular phase separation takes place.…”

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Characterization of the energy bursts in vibrated shallow granular systems

et al. 2012

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We study the recently reported energy bursts that take place in a granular system confined to a vertically vibrated shallow box containing two types of grains of equal size but different mass (Rivas in Phys Rev Lett 106:088001-1-088001-4, 2011). In a quasi one dimensional configuration, it is possible to characterize the propagating fronts. The rapid expansion and the subsequent compression of the energy bursts take place at roughly constant velocities. The expansion velocity is 40 times larger than the compression velocity. Starting from an initially segregated configuration it is possible to determine the instants at which the energy bursts begin and the mechanisms that trigger them. Two mechanisms are identified: an oblique collision of a heavy grain with a light one in contact with one of the horizontal walls and a slow destabilization produced by light grains that are surrounded by heavy ones.

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Brazil nut effect in a rectangular plate under horizontal vibration

Cited by 14 publications

References 16 publications

Rheology of binary granular mixtures in the dense flow regime

Rheology of binary granular mixtures in the dense flow regime

Effect of the vibration profile on shallow granular systems

Characterization of the energy bursts in vibrated shallow granular systems

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