2021
DOI: 10.1063/5.0032919
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Navier–Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture

Abstract: 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… Show more

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Cited by 6 publications
(3 citation statements)
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“…In this study, the commonly used pseudo-first-order, pseudo-second-order kinetics, and intra-particle diffusion model equations were used to fit the adsorption data (Garzo et al 2021).…”
Section: Adsorption Kinetic Studiesmentioning
confidence: 99%
“…In this study, the commonly used pseudo-first-order, pseudo-second-order kinetics, and intra-particle diffusion model equations were used to fit the adsorption data (Garzo et al 2021).…”
Section: Adsorption Kinetic Studiesmentioning
confidence: 99%
“…This is the expected result for dilute granular mixtures [ 50 , 51 , 52 ]. However, in binary granular suspensions at low-density [ 120 , 121 ] and confined quasi-two-dimensional dilute granular mixtures [ 122 ].…”
Section: First-order Contributions To the Partial Temperatures: Influ...mentioning
confidence: 99%
“…The collisional model we use in our simulations represents the athermal/non-equilibrium extension of the one considered in [28]. It has been shown to embody dissipative and forcing mechanisms of experimental systems where spherical grains are placed on vertically vibrating horizontal substrates [40][41][42]. In these systems, energy is injected along the vertical direction through grainsubstrate collisions and then transferred to the horizontal ones through grain-grain collisions with an efficiency that depends on the impact kinematics.…”
mentioning
confidence: 99%