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Simulations of dense granular gases without gravity with impact-velocity-dependent restitution coefficient

โœ Scribed by Sean McNamara; Eric Falcon


Book ID
104088750
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
729 KB
Volume
182
Category
Article
ISSN
0032-5910

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โœฆ Synopsis


We report two-dimensional simulations of strongly vibrated granular materials without gravity. The coefficient of restitution depends on the impact velocity between particles by taking into account both the viscoelastic and plastic deformations of particles, occurring at low and high velocities respectively. Use of this model of restitution coefficient leads to new unexpected behaviors. When the number of particles N is large, a loose cluster appears near the fixed wall, opposite the vibrating wall. The pressure exerted on the walls becomes independent of N, and linear in the vibration velocity V, quite as the granular temperature. The collision frequency at the vibrating wall becomes independent of both N and V, whereas at the fixed wall, it is linear in both N and V. These behaviors arise because the velocity-dependent restitution coefficient introduces a new time scale related to the collision velocity near the cross over from viscoelastic to plastic deformation.


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