Heat flux of a granular gas with homogeneous temperature
arXiv:1610.08667 · doi:10.1088/1742-5468/2016/10/103209
Abstract
A steady state of a granular gas with homogeneous granular temperature, no mass flow, and nonzero heat flux is studied. The state is created by applying an external position--dependent force or by enclosing the grains inside a curved two--dimensional silo. At a macroscopic level, the state is identified with one solution to the inelastic Navier--Stokes equations, due to the coupling between the heat flux induced by the density gradient and the external force. On the contrary, at the mesoscopic level, by exactly solving a BGK model or the inelastic Boltzmann equation in an approximate way, a one--parametric family of solutions is found. Molecular dynamics simulations of the system in the quasi--elastic limit are in agreement with the theoretical results.
References in corpus (20)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Clustering and Non-Gaussian Behavior in Granular Matter
- Jamming During the Discharge of Grains from a Silo Described as a Percolating Transition
- Inherent Rheology of a Granular Fluid in Uniform Shear Flow
- Thermodynamics and Statistical Mechanics of dense granular media
- Small and Large Scale Granular Statics
- Fluctuations and Criticality of a Granular Solid-Liquid-like Phase Transition
- Sudden chain energy transfer events in vibrated granular media
- Chapman-Enskog expansion about nonequilibrium states: the sheared granular fluid
- Hydrodynamic modes in a confined granular fluid
- Transport coefficients for an inelastic gas around uniform shear flow: Linear stability analysis
- Transport coefficients of a granular gas of inelastic rough hard spheres
- Transport properties for driven granular fluids in situations close to homogeneous steady states
- Transport coefficients for driven granular mixtures at low-density
- Homogeneous steady states in a granular fluid driven by a stochastic bath with friction
- Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas
- Shear viscosity of a model for confined granular media
- Pattern-transition, microstructure and dynamics in two-dimensional vibrofluidized granular bed
- Thermal segregation of intruders in the Fourier state of a granular gas
- Heat Flux in a Granular Gas