2011/01/28 by Fei Fang Chung, Chung, Fei Fang, Sy-Sang Liaw +3
Engineering · Materials Science · #Data Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Granular flow and fluidized beds #Material Dynamics and Properties #Pickering emulsions and particle stabilization #Statistics and Probability (physics.data-an)
paper · pdf · doi:10.48550/arxiv.1101.5438
openalex publication_date 2011/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a solid-like phase with particles clustered in their compact form. Molecular dynamics simulations of the system show that the critical filling fraction is a decreasing function of vibration amplitude independent of vibration frequency, which is consistent with previous experimental results. This study considers the entire group of particles as a giant pseudo-particle with an effective size and an effective coefficient of restitution. The N-particles system is then analytically treated as a one-particle problem. The critical filling fraction's dependence on vibration amplitude can be explained as a necessary condition for a stable resonant solution. The fluctuation to the system's mean flow energy is also studied to show the relation between the granular temperature and the system phase.