Vibrated Granular Media as Experimentally Realizable Granular Gases

McNamara, Sean; Falcon, Éric

doi:10.1007/978-3-540-39843-1_15

Cited by 4 publications

(3 citation statements)

References 36 publications

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“…The magnitude of dissipation is proportional to 1 − r 2 (normal) and 1 − r 2 t (tangential), while the strength of the coupling between rotational and translational motion is connected to 1 + r t , where the (constant) normal restitution r can vary between 1 (elastic) and 0 (inelastic) and the tangential restitution r t varies between −1 (smooth) and +1 (rough), corresponding to zero and maximum coupling, respectively [6,9,22,48]. The details of more realistic contact models are discussed in other chapters in this book [31,49].…”

Section: Dissipation On Collisionsmentioning

confidence: 99%

Driven Granular Gases

Luding

Cafiero

Herrmann

2003

Granular Gas Dynamics

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Abstract. In this paper, a two-dimensional granular gas of inelastic, rough spheres subject to driving is examined. Either the translational degrees of freedom are agitated proportional to a power |v( x)| δ of the local particle velocity v( x), or the rotational degrees are agitated randomly with respect to the angular velocity ω( x).The steady state properties of the model, with respect to energy, partition of energy, and velocity distributions, are examined for different values of δ, and compared with the homogeneous driving case δ = 0. A driving linearly proportional to v( x) seems to reproduce some experimental observations which could not be reproduced by a homogeneous driving. Furthermore, we obtain that the system can be homogenized even for strong dissipation, if a driving inversely proportional to the velocity is used (δ < 0). In the case of rotational driving, the system is well randomized and clusters are hindered. Even though rotational driving may be difficult to realize experimentally, this is an opportunity to avoid or delay the often unwanted effect of clustering.

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Section: Dissipation On Collisionsmentioning

confidence: 99%

Driven Granular Gases

Luding

Cafiero

Herrmann

2003

Granular Gas Dynamics

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“…Viscoelastic models that incorporate this have been very successful in describing real systems such as steel spheres [38]. A common approximation in kinetic theory is to assume a constant coefficient of inelasticity, as this greatly simplifies the collision integrals while the basic physics is not significantly altered.…”

Section: Simulation Detailsmentioning

confidence: 99%

Collision statistics in sheared inelastic hard spheres

et al. 2009

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The dynamics of sheared inelastic-hard-sphere systems are studied using non-equilibrium molecular dynamics simulations and direct simulation Monte Carlo. In the molecular dynamics simulations LeesEdwards boundary conditions are used to impose the shear. The dimensions of the simulation box are chosen to ensure that the systems are homogeneous and that the shear is applied uniformly. Various system properties are monitored, including the one-particle velocity distribution, granular temperature, stress tensor, collision rates, and time between collisions. The one-particle velocity distribution is found to agree reasonably well with an anisotropic Gaussian distribution, with only a slight overpopulation of the high velocity tails. The velocity distribution is strongly anisotropic, especially at lower densities and lower values of the coefficient of restitution, with the largest variance in the direction of shear. The density dependence of the compressibility factor of the sheared inelastic hard sphere system is quite similar to that of elastic hard sphere fluids. As the systems become more inelastic, the glancing collisions begin to dominate more direct, head-on collisions. Examination of the distribution of the time between collisions indicates that the collisions experienced by the particles are strongly correlated in the highly inelastic systems. A comparison of the simulation data is made with DSMC simulation of the Enskog equation. Results of the kinetic model of Montanero et al. [Montanero et al., J. Fluid Mech. 389, 391 (1999)] based on the Enskog equation are also included. In general, good agreement is found for high density, weakly inelastic systems. * Electronic address: leo.lue@manchester.ac.uk 1

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“…In particular, the next sections will show how the striking effects of inelasticity are captured by this simple model. More realistic models have also been proposed, where the particles have rotational degrees of freedom, and where there is also, in addition to normal restitution, tangential restitution [18], with sticking and sliding friction, the restitution coefficients depending on the velocities or visco-elastic interactions [1,2,14,[19][20][21][22].…”

Section: Modellingmentioning

confidence: 99%

Granular gases: dynamics and collective effects

Barrat¹,

Trizac²,

Ernst³

2005

J. Phys.: Condens. Matter

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We present a biased review of some of the most "spectacular" effects appearing in the dynamics of granular gases where the dissipative nature of the collisions leads to a rich phenomenology, exhibiting striking differences with equilibrium gases. Among these differences, the focus here is on the illustrative examples of "Maxwell Demon"-like experiment, modification of Fourier's law, nonequipartition of energy and non-Gaussianity of the velocity distributions. The presentation remains as non technical as possible.

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Vibrated Granular Media as Experimentally Realizable Granular Gases

Cited by 4 publications

References 36 publications

Driven Granular Gases

Driven Granular Gases

Collision statistics in sheared inelastic hard spheres

Granular gases: dynamics and collective effects

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