2013/01/01 by Tomohiko G. Sano, Hisao Hayakawa · 14 citations
Engineering · Environmental Science · Physics and Astronomy · #Classical mechanics #Composite material #Constant (computer programming) #Extrapolation #Flow (mathematics) #Granular flow and fluidized beds #Granular material #Jamming #Jet (fluid) #Landslides and related hazards #Materials science #Mathematical analysis #Mechanics #Metastability #Monotonic function #Particle Dynamics in Fluid Flows #Physics #Shear (geology) #Thermodynamics #cond-mat.soft #cond-mat.stat-mech #physics.flu-dyn
paper · pdf · doi:10.1093/ptep/ptt078
published in Progress of Theoretical and Experimental Physics 2013(10) (University of Oxford) · 20 pages, 15 figures
openalex publication_date 2013/01/01 · arxiv created 2013/08/17 · arxiv updated 2013/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The impacts of granular jets for both frictional and frictionless grains in two dimensions are numerically investigated. A dense flow with a dead zone emerges during the impact. From our two-dimensional simulation, we evaluate the equations of state and the constitutive equations of the flow. The asymptotic divergences of pressure and shear stress similar to the situation near the jamming transition appear for the frictionless case, while their exponents are smaller than those of the sheared granular systems, and are close to the extrapolation from the kinetic theoretical regime. In a similar manner to the jamming for frictional grains, the critical density decreases as the friction constant of grains increases. For bi-disperse systems, the effective friction constant, defined as the ratio of shear stress to normal stress, monotonically increases from near zero as the strain rate increases. On the other hand, the effective friction constant has two metastable branches for mono-disperse systems because of the coexistence of a crystallized state and a liquid state.