2008
DOI: 10.1122/1.2838254
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Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids

Abstract: International audienceThe 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 t… Show more

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Cited by 196 publications
(168 citation statements)
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“…In particular, the rheology of non colloidal suspensions composed of a yield-stress fluid and of neutrally-buoyant solid spheres has been explored in the dense regime [29]. The rheological measurements are in agreement with a model based on scaling arguments and homogenization methods [31,32]. A striking result is that all the data including a Newtonian test case show a perfect collapse of the friction, τ/P = μ(φ).…”
Section: Toward More Complex Particulate Systemssupporting
confidence: 60%
“…In particular, the rheology of non colloidal suspensions composed of a yield-stress fluid and of neutrally-buoyant solid spheres has been explored in the dense regime [29]. The rheological measurements are in agreement with a model based on scaling arguments and homogenization methods [31,32]. A striking result is that all the data including a Newtonian test case show a perfect collapse of the friction, τ/P = μ(φ).…”
Section: Toward More Complex Particulate Systemssupporting
confidence: 60%
“…Therefore, it needs to be carefully investigated the effect of particle concentration on plastic viscosity. It is noting that in this study, to take into account the particle shape effects on plastic viscosity, instead of using estimate of Chateau et al (2008) like yield stress estimate, Farris (1968) theory developed for multimodal suspension was extended. Farris (1968) developed a theory for calculating the viscosity of multimodal suspensions.…”
Section: Yield Stressmentioning
confidence: 99%
“…Cement pastes are yield stress fluids [2,3,23], meaning that the material flow is initiated as soon as the applied stress exceeds the yield stress. Depending on the mixture proportioning and applied shear rate or shear stress, cement pastes may display shear thinning or shear thickening behaviour [2,[7][8][9].…”
Section: General Approach 31mentioning
confidence: 99%