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Kimberly Hill

Publications and source records attributed to Kimberly Hill.

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Particle-scale studies elucidating visco-collisional rheology in granular-fluid flows

We study the particle-scale dynamics that give rise to bulk flow behaviours of highly concentrated particle-fluid mixtures using discrete element method (DEM) simulations. We utilize boundary conditions of a stress-controlled shear cell and vary material properties and applied stresses systematically. We find the bulk rheology transitions smoothly among what might be called viscous, collisional, and visco-collisional behaviours based on average shear rate dependence as well as dominance of local interaction. Using specific measures of particle-scale dynamics, we find that the transitions in system rheologies coincide with statistically significant changes in the ``fabric'' (i.e., strong force network and coordination numbers), the ``granular temperature'' (i.e., fluctuation energy) and relative importance of fluid and interparticle contacts. Armed with these measures and previous theoretical work, we provide a foundation for understanding the particle-scale physics that gives rise to meso-scale rheologies and transitions from one to the next. We determine physics-based formulations to better represent dynamic behaviors for a wide range of material properties and loading conditions. Our study broadens the applicability of rheological models to natural and engineered systems by providing a foundation for a more general constitutive model.

cond-mat.soft

Unifying Lengthscale-Based Rheology of Dense Granular-Fluid Mixtures

In this communication, we present a new lengthscale-based rheology for dense sheared particle suspensions as they transition from inertial- to viscous-dominated. We derive a lengthscale ratio using straightforward physics-based considerations for a particle subjected to pressure and drag forces. In doing so, we demonstrate that an appropriately chosen length-scale ratio intrinsically provides a consistent relationship between normal stress and system proximity to its ''jammed'' or solid-like state, even as a system transitions between inertial and viscous states, captured by a variable Stokes number.

cond-mat.soft