Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions

Journal of Rheology - Tập 58 Số 6 - Trang 1693-1724 - 2014
Romain Mari1, Ryohei Seto1, Jeffrey F. Morris2,3, Morton M. Denn2,3
1Benjamin Levich Institute, City College of New York, New York, New York 10031
2Benjamin Levich Institute, City College of New York, New York, New York 10031 and Department of Chemical Engineering, City College of New York, New York, New York 10031
3Department of Chemical Engineering , City College of New York, New York, New York 10031 and , City College of New York, New York, New York 10031

Tóm tắt

Particles suspended in a Newtonian fluid raise the viscosity and also generally give rise to a shear-rate dependent rheology. In particular, pronounced shear thickening may be observed at large solid volume fractions. In a recent article [R. Seto et al., Phys. Rev. Lett. 111, 218301 (2013)], we have considered the minimum set of components to reproduce the experimentally observed shear thickening behavior, including discontinuous shear thickening. We have found frictional contact forces to be essential and were able to reproduce the experimental behavior by a simulation including this physical ingredient along with viscous lubrication. In the present article, we thoroughly investigate the effect of friction and express it in the framework of the jamming transition. The viscosity divergence at the jamming transition has been a well known phenomenon in suspension rheology, as reflected in many empirical laws for the viscosity. Friction can affect this divergence, and in particular the jamming packing fraction is reduced if particles are frictional. Within the physical description proposed here, shear thickening is a direct consequence of this effect: As the shear rate increases, friction is increasingly incorporated as more contacts form, leading to a transition from a mostly frictionless to a mostly frictional rheology. This result is significant because it shifts the emphasis from lubrication hydrodynamics and detailed microscopic interactions to geometry and steric constraints close to the jamming transition.

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See supplementary material (movies) at http://dx.doi.org/10.1122/1.4890747 for (a) the contact network at volume fraction 0.56 around the DST transition and (b) the configuration under flow seen from upstream in the flow direction.

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Journal of Rheology

Tập 58 Số 6

1693-1724

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