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arXiv · 2210.08746

Unifying Lengthscale-Based Rheology of Dense Granular-Fluid Mixtures

Zhuan Ge·Teng Man·Herbert E. Huppert·Kimberly Hill·Sergio Andres Galindo-Torres
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Abstract

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.

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Zhuan Ge, Teng Man, Herbert E. Huppert, Kimberly Hill, Sergio Andres Galindo-Torres. 2022-10-17. Unifying Lengthscale-Based Rheology of Dense Granular-Fluid Mixtures. https://arxiv.org/abs/2210.08746

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