2002/04/29 by J. Wakou, Wakou, J.
Chemical Engineering · Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Granular flow and fluidized beds #Material Dynamics and Properties #Rheology and Fluid Dynamics Studies #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0204603
27 pages, LaTeX, no figures
arxiv created 2002/04/29 · openalex publication_date 2002/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a systematic expansion method which is applied to freely evolving granular fluids contained in sufficiently small systems. Restricting ourselves to small systems, we show that there exists a small parameter which characterizes a typical size of density and temperature inhomogeneities. A solution of the hydrodynamic equations for a fluid of inelastic hard spheres is expanded in the small parameter. It is shown that our method quantitatively describes the asymptotic state of the system, such as flow profiles, density and temperature inhomogeneities, and the decay law of the global temperature and the energy per particle.