2001/09/19 by Igor S. Aranson, Lev S. Tsimring · 172 citations
Engineering · Environmental Science · Physics and Astronomy · #Classical mechanics #Continuum hypothesis #Flow (mathematics) #Geology #Geotechnical engineering #Granular flow and fluidized beds #Granular material #Granular matter #Landslides and related hazards #Materials science #Mechanics #Physics #Shear (geology) #Shear flow #Soil and Unsaturated Flow #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.65.061303
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 65(6), 061303 (American Physical Society) · 28 pages, 23 figures, submitted to Phys. Rev. E
arxiv created 2001/09/19 · openalex publication_date 2002/06/21 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order-parameter equation which describes the transition between the flowing and static components of the granular system. We apply this theory to several important granular problems: avalanche flow in deep and shallow inclined layers, rotating drums, and shear granular flows between two plates. We carry out quantitative comparisons between the theory and experiment.