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Effect of normal contact forces on the stress in shear rate invariant particle suspensions

J. J. J. Gillissen* and H. J. Wilson

  • Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom

  • *jurriaangillissen@gmail.com
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Phys. Rev. Fluids 4, 013301 – Published 2 January, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.013301

Abstract

We present a tensorial theory for the microstructure and the stress in shear rate invariant particle suspensions that includes hydrodynamic and normal but not tangential hard sphere interaction forces. The theory predicts that hydrodynamic forces produce a negligible first normal stress difference, while contact forces produce a positive first normal stress difference. The theory thereby provides a rationale for seemingly contradicting experimental observations in the literature. In addition, the theory captures the experimentally observed time dependence of the shear stress after shear reversal.

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Phys. Rev. Fluids 4, 013301– Published 2 January, 2019
  • Received 28 May 2018
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