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In this communication, we present a new lengthscale-based rheology for densesheared particle suspensions as they transition from inertial- toviscous-dominated. We derive a lengthscale ratio using straightforwardphysics-based considerations for a particle subjected to pressure and dragforces. In doing so, we demonstrate that an appropriately chosen length-scaleratio intrinsically provides a consistent relationship between normal stressand system proximity to its ''jammed'' or solid-like state, even as a systemtransitions between inertial and viscous states, captured by a variable Stokesnumber.

Unifying Lengthscale-Based Rheology of Dense Granular-Fluid Mixtures