Jamming, Yielding, and Rheology during Submerged Granular Avalanche

• Published in: arXiv.org
• Main Authors: Ge, Zhuan, Teng Man, Hill, Kimberly M, Wang, Yujie, Sergio Andres Galindo-Torres
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 25.08.2024
• Subjects: Creep (materials); Critical point; Discrete element method; Jamming; Rheological properties; Rheology; Shear rate; Transition points
• ISSN: 2331-8422

Jamming transitions and the rheology of granular avalanches in fluids are investigated using experiments and numerical simulations. Simulations use the lattice-Boltzmann method coupled with the discrete element method, providing detailed stress and deformation data. Both simulations and experiments present a perfect match with each other in carefully conducted deposition experiments, validating the simulation method. We analyze transient rheological laws and jamming transitions using our recently introduced length-scale ratio \(G\). \(G\) serves as a unified metric for the pressure and shear rate capturing the dynamics of sheared fluid-granular systems. Two key transition points, \(G_{Y}\) and \(G_{0}\), categorize the material's state into solid-like, creeping, and fluid-like states. Yielding at \(G_{Y}\) marks the transition from solid-like to creeping, while \(G_{0}\) signifies the shift to the fluid-like state. The \(\mu-G\) relationship converges towards the equilibrium \(\mu_{eq}(G)\) after \(G>G_0\) showing the critical point where the established rheological laws for steady states apply during transient conditions.