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Shear thickening, frictionless and frictional rheologies in non-Brownian
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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
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
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
detailed microscopic interactions to geometry and steric constraints close to the jamming
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