Abstract
We analyze apparent wall slip, the reduction of particle concentration near the wall, in hard-sphere suspensions at concentrations well below the jamming limit utilizing a continuum level diffusion model. The approach extends a constitutive equation proposed earlier with two additional potentials describing the effects of gravitation and wall-particle repulsion. We find that although both mechanisms are shear independent by nature, due to the shear-rate-dependent counter-balancing particle migration fluxes, the resulting net effect is non-linearly shear dependent, causing larger slip at small shear rates. In effect, this shows up in the classically measured flow curves as a mild shear thickening regime at the transition from small to intermediate shear rates.
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Korhonen, M., Mohtaschemi, M., Puisto, A. et al. Apparent wall slip in non-Brownian hard-sphere suspensions. Eur. Phys. J. E 38, 46 (2015). https://doi.org/10.1140/epje/i2015-15046-y
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DOI: https://doi.org/10.1140/epje/i2015-15046-y