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

By X. Chateau, G. Ovarlez, Kien Luu Trung. 2008

229 citations recorded by the source corpus.

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 satisfactorily 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(1), 287–313 (2008)] and to experimental data found in the literature.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 satisfactorily 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(1), 287–313 (2008)] and to experimental data found in the literature.

Subfields: Computational Theory and Mathematics, Fluid Flow and Transfer Processes, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ef883d07c04bacf88c084034cec6eedc782407a2

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In Computational Theory and Mathematics

In Fluid Flow and Transfer Processes

In Mechanics of Materials

Citations in the corpus

Rheology of dense granular suspensions (2018, background): “Again, as a typical example, adding spherical particles to a viscoplastic fluid leads to a gradual augmentation of the viscosity and the yield stress (see e.g. Chateau et al. 2008; Dagois-Bohy et al. 2015).”
Effect of Coarse Particle Volume Fraction on the Yield Stress and Thixotropy of Cementitious Materials (2008, methodology): “extrapolation from a flow curve provides an overestimation of the yield stress 597 of the suspension [1] because the suspension departs from a Herschel-Bulkley 598 (or Bingham) model at very low shear rate (unaccessible to most concrete 599 rheometers) and has a lower yield stress than the one extra”
Yielding to Stress: Recent Developments in Viscoplastic Fluid Mechanics (2014, background): “The overall effect of suspended particles or bubbles on bulk viscosity and yield stress has been evaluated both theoretically and experimentally (Chateau et al. 2008, Kogan et al. 2013, Mahaut et al. 2008), and we now have a characterization of rheological properties according to the volume…”
Yield stress and elastic modulus of suspensions of noncolloidal particles in yield stress fluids (2008, methodology): “Note that a critical review of existing theories aiming at describing the influence of noncolloidal particles in non-Newtonian fluids can be found in Chateau et al. (2007).”