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Discontinuous shear-thinning in adhesive dispersions

Ehsan Irani1,2,3, Pinaki Chaudhuri4, and Claus Heussinger3

  • 1Berlin Institute for Medical Systems Biology, Max Delbrück Center for Molecular Medicine in the Helmholtz Association, 13092 Berlin, Germany
  • 2Berlin Institute of Health (BIH), 13092 MDC-Berlin, Germany
  • 3Institute for Theoretical Physics, Georg-August University of Göttingen, Friedrich-Hund Platz 1, 37077 Göttingen, Germany
  • 4Institute of Mathematical Sciences, Taramani, Chennai 600 113, Tamil Nadu, India

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Phys. Rev. Fluids 4, 074307 – Published 18 July, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.074307

Abstract

We present simulations for the steady-shear rheology of a model adhesive dispersion in the dense regime. We vary the range of the attractive interparticle forces u as well as the strength of the dissipation b. For large dissipative forces, the rheology is governed by the Weissenberg number Wi∼bγ̇/u and displays Herschel-Bulkley form σ=σy+cWiν with exponent ν=0.45. Decreasing the strength of dissipation, the scaling with Wi breaks down and inertial effects show up. The stress decreases via the Johnson-Samwer law Δσ∼Ts2/3, where temperature Ts is exclusively due to shear-induced vibrations. During flow, particles slide past each other such that their relative velocities are primarily directed tangentially to the particle surfaces. This tangential channel of energy dissipation and its suppression leads to a discontinuity in the flow curve and an associated discontinuous shear-thinning transition. We set up an analogy with frictional systems, where the phenomenon of discontinuous shear-thickening occurs. In both cases, tangential forces, frictional or viscous, mediate a transition from one branch of the flow curve with low tangential dissipation to one with larger tangential dissipation.

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Phys. Rev. Fluids 4, 074307– Published 18 July, 2019
  • Received 15 November 2018
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