Heap formation in two-dimensional granular media

Lee, Jysoo

doi:10.1088/0305-4470/27/9/004

Cited by 50 publications

(17 citation statements)

References 17 publications

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“…Here, we consider only vibrational agitation, which is probably one of the most popular method. There are many interesting phenomena associated with the vibrated systems, such as convection cells [5,6,7,8], heap formation [9,10,11,12,13], subharmonic instability [14], surface waves [15,16] and even turbulent flows [17]. The basis for understanding these diverse phenomena is, in our opinion, to understand of the state of granular media under vibration.…”

Section: Introductionmentioning

confidence: 99%

Scaling behavior of granular particles in a vibrating box

Lee

1995

Physica A: Statistical Mechanics and its Applications

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Using numerical and analytic methods, we study the behavior of granular particles contained in a vibrating box. We measure, by molecular dynamics (MD) simulation, several quantities which characterize the system. These quantities-the density and the granular temperature fields, and the vertical expansion-obey scaling in the variable x = Af . Here, A and f are the amplitude and the frequency of the vibration. The behavior of these quantities is qualitatively different for small and large values of x. We also study the system using NavierStokes type equations developed by Haff. We develop a boundary condition for moving boundaries, and solve for the density and the temperature fields of the steady state in the quasi-incompressible limit, where the average separation between the particles is much smaller than the average diameter of the particles. The fields obtained from Haff's equations show the same scaling as those from the simulations. The origin of the scaling can be easily understood. The behavior of the fields from the theory is consistent with the simulation data for small x, but they deviate significantly for large x. We argue that the deviation is due to the breakdown of the quasi-incompressibility condition for large x.

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Section: Introductionmentioning

confidence: 99%

Scaling behavior of granular particles in a vibrating box

Lee

1995

Physica A: Statistical Mechanics and its Applications

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“…The two vectors that generate the contact plane are the normal unit vector n ij = ri−rj |ri−rj | , and the relative velocity v ij = v i − v j . Figure 1 shows a sketch of the collision model projected in the collision plane: the total force is decomposed in the normal direction n ij and the tangential directions t ij = vt ij |vt ij | , where the relative velocities in the normal and tangential directions are The forces are modelled as [17,18] …”

Section: Model and Methodsmentioning

confidence: 99%

“…The time step of the simulation is δt ≈ t c /50 [18], where the contact time t c is estimated by [22] …”

Section: A Simulation Detailsmentioning

confidence: 99%

Order-disorder transition in swirled granular disks

2014

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We study the order-disorder transition of horizontally swirled dry and wet granular disks by means of computer simulations. Our systematic investigation of the local order formation as a function of amplitude and period of the external driving force shows that a large cluster of hexagonally ordered particles forms for both dry and wet granular particles at intermediate driving energies. Disordered states are found at small and large driving energies. Wet granular particles reach a higher degree of local hexagonal order, with respect to the dry case. For both cases we report a qualitative phase diagram showing the amount of local order at different state points. Furthermore we find that the transition from hexagonal order to a disordered state is characterised by the appearance of particles with square local order.

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“…In order to obtain an accurate integration of the equation of motion during contact, the time step of the simulation is chosen to be δt ≈ t c /50 [38].…”

Section: Appendix A: Details Of the Modelmentioning

confidence: 99%

Role of defects in the onset of wall-induced granular convection

Fortini

Huang

2015

Phys. Rev. E

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We investigate the onset of wall-induced convection in vertically vibrated granular matter by means of experiments and two-dimensional computer simulations. In both simulations and experiments we find that the wall-induced convection occurs inside the bouncing bed region of the parameter space in which the granular bed behaves like a bouncing ball. A good agreement between experiments and simulations is found for the peak vibration acceleration at which convection starts. By comparing the results of simulations initialised with and without defects, we find that the onset of convection occurs at lower vibration strengths in the presence of defects. Furthermore, we find that the convection of granular particles initialised in a perfect hexagonal lattice is related to the nucleation of defects and the process is described by an Arrhenius law.

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Heap formation in two-dimensional granular media

Cited by 50 publications

References 17 publications

Scaling behavior of granular particles in a vibrating box

Scaling behavior of granular particles in a vibrating box

Order-disorder transition in swirled granular disks

Role of defects in the onset of wall-induced granular convection

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