Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-12-13
Physics
Condensed Matter
Soft Condensed Matter
Accepted for publication by Physical Review Letters (december 2004)
Scientific paper
10.1103/PhysRevLett.94.028301
The transition from frictional to lubricated flow of a dense suspension of non-Brownian particles is studied. The pertinent parameter characterizing this transition is the Leighton number $Le = \frac{\eta_s \dot{\gamma}}{\sigma}$, which represents the ratio of lubrication to frictional forces. The Leighton number $Le$ defines a critical shear rate below which no steady flow without localization exists. In the frictional regime the shear flow is localized. The lubricated regime is not simply viscous: the ratio of shear to normal stresses remains constant, as in the frictional regime; moreover the velocity profile has a single universal form in both frictional and lubricated regimes. Finally, a discrepancy between local and global measurements of viscosity is identified, which suggests inhomogeneity of the material under flow.
Bertrand François
Bonn Daniel
Coussot Philippe
Huang Ningdong
Ovarlez Guillaume
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