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Granular suspensions transition from Newtonian to Bagnoldian rheology with increased inertia. This transition occurs at a Stokes number of 10, regardless of packing fraction, in dense suspensions near jamming.

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Area of Science:

  • Physics
  • Rheology
  • Fluid Dynamics

Background:

  • Granular suspensions exhibit complex rheological behavior.
  • At low inertia (Stokes limit), they behave as Newtonian fluids.
  • At higher inertia, they transition to Bagnoldian rheology.

Purpose of the Study:

  • To investigate the rheological transition in dense granular suspensions near jamming.
  • To determine the critical conditions for the transition from Newtonian to Bagnoldian rheology.
  • To explore the unification of viscous and inertial flow regimes.

Main Methods:

  • Utilized a custom rheometer capable of pressure- or volume-imposed modes.
  • Systematically varied interstitial fluid, shear rate, and packing fraction.
  • Performed measurements in the dense regime close to the jamming transition.

Main Results:

  • The transition to Bagnoldian rheology occurs at a Stokes number of 10.
  • This transition is independent of the packing fraction.
  • Investigated unification of flow regimes using stress additivity.

Conclusions:

  • The Stokes number is a critical parameter for rheological transitions in granular suspensions.
  • The findings provide insights into the behavior of dense granular flows.
  • Further research can explore unifying inertial and viscous regimes.