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  • Letter
  • Open Access

Irreversibility and rate dependence in sheared adhesive suspensions

Zhouyang Ge1,2,*, Raffaella Martone3, Luca Brandt1, and Mario Minale3,†

  • 1Department of Engineering Mechanics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden
  • 2Department of Mechanical Engineering, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4
  • 3Department of Engineering, University of Campania “Luigi Vanvitelli”, Real Casa dell'Annunziata, via Roma 29-81031 Aversa, Italy

  • *zhoge@mech.kth.se
  • †mario.minale@unicampania.it

Phys. Rev. Fluids 6, L101301 – Published 13 October, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.L101301

Abstract

Recent experiments report that slowly sheared noncolloidal particle suspensions unexpectedly exhibit rate(ω)-dependent complex viscosities in oscillatory shear, despite a constant relative viscosity in steady shear. Using a minimal hydrodynamic model, we show that van der Waals attraction gives rise to this behavior. At volume fractions ϕ=20–50%, the complex viscosities in both experiments and simulations display power-law reductions in shear, with a ϕ-dependent exponent maximum at ϕ=40%, resulting from the interplay between hydrodynamic, collision, and adhesive interactions. Furthermore, this rate dependence is accompanied by diverging particle diffusivities and pronounced cluster formations after repeated oscillations. Previous studies established that suspensions transition from reversible absorbing states to irreversible diffusing states when the oscillation amplitude exceeds a ϕ-dependent critical value γ0,ϕc. Here, we show that a second transition to irreversibility occurs below an ω-dependent critical amplitude, γ0,ωc≤γ0,ϕc, in the presence of weak attractions.

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