Steady quasi-homogeneous granular gas state

Patricio Cordero, Dino Risso and Rodrigo Soto

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 54-60

Abstract: Using Newtonian molecular dynamics we study a gas of inelastic hard disks subject to shear between two planar parallel thermal walls. The system behaves like a Couette flow and it is tuned to produce a steady state that ideally has uniform temperature, uniform density, no energy flux and a linear velocity profile for restitution coefficient in the wide range: 0.3⩽r⩽1. It is shown that Navier–Stokes-like hydrodynamics fails far from the quasielastic regime. The system shows significant non-Newtonian behavior as non linear viscosity, shear thinning and normal stress differences. Our theoretical description of this state, based on generalized hydrodynamic equations derived from a moment expansion of Boltzmann's equation, agrees reasonably well with the simulational results, and captures the non-Newtonian features of the system. We claim that our hydrodynamic equations constitute a general formalism appropriate for describing different regimes of granular gases.

Keywords: Granular matter; Kinetic theory (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:54-60

DOI: 10.1016/j.physa.2005.05.012

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