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Length scales and self-organization in dense suspension flows | | Gustavo Düring
; Edan Lerner
; Matthieu Wyart
; | | Date: |
18 Aug 2013 | | Abstract: | Dense non-Brownian suspension flows of hard particles display mystifying
properties: as the jamming threshold is approached, the viscosity diverges, as
well as a length scale that can be identified from velocity correlations. To
unravel the microscopic mechanism governing dissipation and its connection to
the observed long-range correlations, we develop an analogy between suspension
flows and the rigidity transition occurring when floppy networks are pulled --
a transition believed to be associated to the stress-stiffening of certain
gels. After deriving the critical properties near the rigidity transition, we
show numerically that suspensions flows lie close to it. We find that this
proximity causes a decoupling between viscosity and the correlation length of
velocities xi, which scales as the length l_c characterizing the response of
the velocity in flow to a local perturbation, previously predicted to follow
l_csim 1/sqrt{z_c-z}sim p^{0.18} where p is the dimensionless particle
pressure, z the coordination of the contact network made by the particles and
z_c is twice the spatial dimension. We confirm these predictions numerically,
predict the existence of a larger length scale l_rsim 1/sqrt{p} with mild
effects on velocity correlation and the existence of a vanishing strain delta
gammasim 1/p that characterizes de-correlation in flow. | | Source: | arXiv, 1308.3886 | | Services: | Forum | Review | PDF | Favorites | |
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