Vibrated granular gas confined by a piston

Abstract

The steady state of a vibrated granular gas confined by a movable piston on the top is discussed. Particular attention is given to the hydrodynamic boundary conditions to be used when solving the inelastic Navier-Stokes equations. The relevance of an exact general condition relating the grain fluxes approaching and moving away from each of the walls is emphasized. It is shown how it can be used to get a consistent hydrodynamic description of the boundaries. The obtained expressions for the fields do not contain any undetermined parameter. Comparison of the theoretical predictions with molecular dynamics simulation results is carried out, and a good agreement is observed for low density and not too large inelasticity. A practical way of introducing small finite density corrections to the dilute limit theory is proposed, to improve the accuracy of the theory.

References in corpus (11)

• Breakdown of Energy Equipartition in a 2D Binary Vibrated Granular Gas
• Towards granular hydrodynamics in two-dimensions
• Kinetic Temperatures for a Granular Mixture
• Energy flows in vibrated granular media
• Collision statistics of driven granular materials
• The energy flux into a fluidized granular medium at a vibrating wall
• Transversal inhomogeneities in dilute vibrofluidized granular fluids
• Symmetry breaking and coarsening of clusters in a prototypical driven granular gas
• Hydrodynamic Modes for a Granular Gas from Kinetic Theory
• The Knudsen temperature jump and the Navier-Stokes hydrodynamics of granular gases driven by thermal walls
• Velocity fluctuations of a piston confining a vibrated granular gas

Cited by in corpus (9)

• Understanding the instability of a vibrated granular monolayer
• Homogeneous dynamics in a vibrated granular monolayer
• Critical behavior of two freely evolving granular gases separated by an adiabatic piston
• Dynamics of an inelastic tagged particle under strong confinement
• Hydrodynamic Character of the Non-equipartition of Kinetic Energy in Binary Granular Gases
• Volume fluctuations and compressibility of a vibrated granular gas
• Equilibration and symmetry breaking in vibrated granular systems
• Mesoscopic description of the adiabatic piston: kinetic equations and $\mathcal{H}$-theorem
• Adiabatic piston in a temperature gradient