Wall slip across the jamming transition of soft thermoresponsive particles

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Thibaut DivouxSébastien Manneville

Abstract

Flows of suspensions are often affected by wall slip, that is, the fluid velocity v_{f} in the vicinity of a boundary differs from the wall velocity v_{w} due to the presence of a lubrication layer. While the slip velocity v_{s}=|v_{f}-v_{w}| robustly scales linearly with the stress σ at the wall in dilute suspensions, there is no consensus regarding denser suspensions that are sheared in the bulk, for which slip velocities have been reported to scale as a v_{s}∝σ^{p} with exponents p inconsistently ranging between 0 and 2. Here we focus on a suspension of soft thermoresponsive particles and show that v_{s} actually scales as a power law of the viscous stress σ-σ_{c}, where σ_{c} denotes the yield stress of the bulk material. By tuning the temperature across the jamming transition, we further demonstrate that this scaling holds true over a large range of packing fractions ϕ on both sides of the jamming point and that the exponent p increases continuously with ϕ, from p=1 in the case of dilute suspensions to p=2 for jammed assemblies. These results allow us to successfully revisit inconsistent data from the literature and pave the way for a continuous description of wall slip above and below jamming.

References

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Citations

Mar 23, 2017·Soft Matter·Brice Saint-MichelSébastien Manneville
Feb 23, 2017·Soft Matter·Heather M ShewanMichel Cloitre
Dec 9, 2017·Physical Review Letters·X ZhangP Coussot
Nov 2, 2016·Soft Matter·Emilie Dressaire, Alban Sauret
Apr 23, 2019·ACS Applied Materials & Interfaces·Leonid RapoportKripa K Varanasi

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