2003/01/10 by Nikolai V. Brilliantov, Nikolai Brilliantov, Thorsten Poeschel +1
Engineering · Environmental Science · Physics and Astronomy · #Granular flow and fluidized beds #Landslides and related hazards #Particle Dynamics in Fluid Flows #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.67.061304
16 pages, 4 figures
arxiv created 2003/01/10 · openalex publication_date 2003/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The hydrodynamics of granular gases of viscoelastic particles, whose collision is described by an impact-velocity dependent coefficient of restitution, which is developed using the Chapman-Enskog approach. We derive the hydrodynamic equations and the according transport coefficients with the assumption that the shape of the velocity distribution function follows adiabatically the decaying temperature. We show numerically that this approximation is justified up to intermediate dissipation. The transport coefficients and the coefficient of cooling are expressed in terms of the elastic and dissipative parameters of the particle material and by the gas parameters. The dependence of these coefficients on temperature differs qualitatively from that obtained with the simplifying assumption of a constant coefficient of restitution which was used in previous studies. The approach formulated for gases of viscoelastic particles may be applied also for other impact-velocity dependencies of the restitution coefficient.