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100 1 _ |a Jin, H.
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245 _ _ |a Non-local stresses in highly non-uniformly flowing suspensions: The shear-curvature viscosity
260 _ _ |a Woodbury, NY
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|b American Institute of Physics
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520 _ _ |a For highly non-uniformly flowing fluids, there are contributions to the stress related to spatial variations of the shear rate, which are commonly referred to as non-local stresses. The standard expression for the shear stress, which states that the shear stress is proportional to the shear rate, is based on a formal expansion of the stress tensor with respect to spatial gradients in the flow velocity up to leading order. Such a leading order expansion is not able to describe fluids with very rapid spatial variations of the shear rate, like in micro-fluidics devices and in shear-banding suspensions. Spatial derivatives of the shear rate then significantly contribute to the stress. Such non-local stresses have so far been introduced on a phenomenological level. In particular, a formal gradient expansion of the stress tensor beyond the above mentioned leading order contribution leads to a phenomenological formulation of non-local stresses in terms of the so-called “shear-curvature viscosity”. We derive an expression for the shear-curvature viscosity for dilute suspensions of spherical colloids and propose an effective-medium approach to extend this result to concentrated suspensions. The validity of the effective-medium prediction is confirmed by Brownian dynamics simulations on highly non-uniformly flowing fluids.
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700 1 _ |a Ahn, K. H.
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700 1 _ |a Briels, Willem
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700 1 _ |a Dhont, J. K. G.
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773 1 8 |a 10.1063/1.5035268
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