Dynamics of Noncohesive Confined Granular Media

Mujica, Nicolás; Soto, Rodrigo

doi:10.1007/978-3-319-27965-7_32

Cited by 15 publications

(26 citation statements)

References 62 publications

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“…In many cases, a stationary state is reached in the long time limit in which the energy lost in collisions is compensated by the energy injected by the wall. In the last two decades the case of a monolayer of identical spherical grains on a horizontal plate that is vertically vibrated has been widely studied (see, for example, the reviews [10,11]).…”

Section: Introductionmentioning

confidence: 99%

Homogeneous dynamics in a vibrated granular monolayer

Maynar¹,

Soria²,

Brey³

2019

J. Stat. Mech.

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A simple model of a vibrated granular monolayer is studied. It consists of inelastic hard spheres confined between two parallel hard plates separated a distance smaller than twice the diameter of the particles. Both walls are elastic and one of them is vibrating in a sawtooth way. For low densities, a kinetic equation is proposed from which closed evolution equations for the horizontal and vertical temperatures are derived assuming spatial homogeneity and that the system is very thin.An excellent agreement between the theoretical predictions and Molecular Dynamics simulation results is obtained both, for the stationary values and for the dynamics of the temperatures.

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Section: Introductionmentioning

confidence: 99%

Homogeneous dynamics in a vibrated granular monolayer

Maynar¹,

Soria²,

Brey³

2019

J. Stat. Mech.

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“…1 B ). Only recently have soft solids ( 12 ) and granular materials ( 13 – 18 ) been shown to exhibit patterns and morphology that resemble those of thin-film fluids. Notably, ref.…”

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confidence: 99%

Arctic soil patterns analogous to fluid instabilities

Glade

Fratkin

Pouragha

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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Slow-moving arctic soils commonly organize into striking large-scale spatial patterns called solifluction terraces and lobes. Although these features impact hillslope stability, carbon storage and release, and landscape response to climate change, no mechanistic explanation exists for their formation. Everyday fluids—such as paint dripping down walls—produce markedly similar fingering patterns resulting from competition between viscous and cohesive forces. Here we use a scaling analysis to show that soil cohesion and hydrostatic effects can lead to similar large-scale patterns in arctic soils. A large dataset of high-resolution solifluction lobe spacing and morphology across Norway supports theoretical predictions and indicates a newly observed climatic control on solifluction dynamics and patterns. Our findings provide a quantitative explanation of a common pattern on Earth and other planets, illuminating the importance of cohesive forces in landscape dynamics. These patterns operate at length and time scales previously unrecognized, with implications toward understanding fluid–solid dynamics in particulate systems with complex rheology.

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“…Complementarily, it remains in a homogeneous fluidized state (when it is observed from above) for a wide range of parameters (see Ref. 27 for a review of this geometry).…”

Section: Introductionmentioning

confidence: 95%

“…An alternative to the use of external forces has been proposed in the past few years. [20][21][22][23][24][25][26][27] The idea is to employ a particular geometry where the granular gas is confined in a box whose z-direction is slightly larger than one particle diameter, so particles are confined in the vertical direction. We refer to this geometry as a quasi-twodimensional geometry.…”

Section: Introductionmentioning

confidence: 99%

Navier–Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture

2021

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The Navier-Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture of inelastic hard spheres are determined from the Boltzmann kinetic equation. A normal or hydrodynamic solution to the Boltzmann equation is obtained via the Chapman-Enskog method for states near the local version of the homogeneous time-dependent state. The mass, momentum, and heat fluxes are determined to first order in the spatial gradients of the hydrodynamic fields, and the associated transport coefficients are identified. They are given in terms of the solutions of a set of coupled linear integral equations. In addition, in contrast to previous results obtained for low-density granular mixtures, there are also nonzero contributions to the first-order approximations to the partial temperatures T(1) i and the cooling rate ζ (1) . Explicit forms for the diffusion transport coefficients, the shear viscosity coefficient, and the quantities T(1) i and ζ (1) are obtained by assuming steady-state conditions and by considering the leading terms in a Sonine polynomial expansion. The above transport coefficients are given in terms of the coefficients of restitution, concentration, and the masses and diameters of the components of the mixture. The results apply in principle for arbitrary degree of inelasticity and are not limited to specific values of concentration, mass and/or size ratios. As a simple application of these results, the violation of the Onsager reciprocal relations for a confined granular mixture is quantified in terms of the parameter space of the problem.

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Dynamics of Noncohesive Confined Granular Media

Cited by 15 publications

References 62 publications

Homogeneous dynamics in a vibrated granular monolayer

Homogeneous dynamics in a vibrated granular monolayer

Arctic soil patterns analogous to fluid instabilities

Navier–Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture

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