Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids

Details Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids

2010-06-11

arxiv.org/abs/1006.2293v1

Journal of Rheology / Transactions of the Society of Rheology; Society of Rheology -- Transactions 52, 2 (2008) 489-506

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1122/1.2838254

The behavior of suspensions of rigid particles in a non-Newtonian fluid is studied in the framework of a nonlinear homogenization method. Estimates for the overall properties of the composite material are obtained. In the case of a Herschel-Bulkley suspending fluid, it is shown that the properties of a suspension with overall isotropy can be satisfactory modeled as that of a Herschel-Bulkley fluid with an exponent equal to that of the suspending fluid. Estimates for the yield stress and the consistency at large strain rate levels are proposed. These estimates compare well to both experimental data obtained by Mahaut et al [J. Rheol. 52, 287-313 (2008)] and to experimental data found in the literature.

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