Scaling Description of Frictionless Dense Suspensions under Inhomogeneous Flow

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Abstract / Description of output

Predicting the rheology of dense suspensions under inhomogeneous flow is crucial in many industrial and geophysical applications, yet the conventional “μ(J)” framework is limited to homogeneous conditions in which the shear rate and solids fraction are spatially invariant. To address this shortcoming, we use particle-based simulations of frictionless dense suspensions to derive new constitutive laws that unify the rheological response under both homogeneous and inhomogeneous conditions. By defining a new dimensionless number associated with particle velocity fluctuations and combining it with the viscous number, the macroscopic friction, and the solids fraction, we obtain scaling relations that collapse data from homogeneous and inhomogeneous simulations. The relations allow prediction of the steady state velocity, stress, and volume fraction fields using only knowledge of the applied driving force.
Original languageEnglish
Article number118203
JournalPhysical Review Letters
Volume132
Issue number11
Early online date15 Mar 2024
DOIs
Publication statusE-pub ahead of print - 15 Mar 2024

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