Unifying Suspension and Granular Rheology

Boyer, François; Guazzelli, Élisabeth; Pouliquen, Olivier

doi:10.1103/physrevlett.107.188301

Cited by 750 publications

(1,272 citation statements)

References 18 publications

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“…Our simulation results compile different volume fractions, roughness, friction coefficients, etc. and reasonably collapse onto a single curve, which confirms the scaling proposed by Boyer et al (2011a). For low volume fractions, a deviation between Boyer's results and our simulations is clearly noted and grows with increasing I v .…”

Section: Global µ(I V ) Rheologysupporting

confidence: 78%

“…This could again suggest that actual measurements determine Σ c rather than Σ p . If the viscous number is defined as I v = ηγ/Σ c yy , our simulation results are found to collapse onto a single φ = φ(I v ) curve as expected from Boyer et al (2011a). Of course, for high volume fractions, considering Σ c yy rather than Σ p yy brings little improvement since Σ p yy ⇡ Σ c yy as discussed hereinbefore.…”

Section: Global µ(I V ) Rheologymentioning

confidence: 80%

“…Of course, for high volume fractions, considering Σ c yy rather than Σ p yy brings little improvement since Σ p yy ⇡ Σ c yy as discussed hereinbefore. Figure 21 shows a semi-logarithmic plot of φ(I v ) for our computations while the solid line is the model proposed by Boyer et al (2011a):…”

Section: Global µ(I V ) Rheologymentioning

confidence: 99%

“…In a recent work, Boyer et al (2011a) intended to unify suspension and granular rheology. They showed that dense confined suspensions have a viscoplastic behaviour similar to dry granular media that can be described using a single viscous parameter I v .…”

Section: Global µ(I V ) Rheologymentioning

confidence: 99%

“…Here again, P p is assimilated to Σ c yy in our simulations. Boyer et al (2011a) proposed to model the friction law as the sum of the hydrodynamic µ h and contact µ c contribution by…”

Section: Global µ(I V ) Rheologymentioning

confidence: 99%

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Rheology of sheared suspensions of rough frictional particles

et al. 2014

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This paper presents three-dimensional numerical simulations of non-Brownian concentrated suspensions in a Couette flow at zero Reynolds number using a fictitious domain method. Contacts between particles are modelled using a discrete element method (DEM)-like approach, which allows for a more physical description, including roughness and friction. This work emphasizes the effect of friction between particles and its role on rheological properties, especially on normal stress differences. Friction is shown to notably increase viscosity and second normal stress difference $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}|N_2|$ and decrease $|N_1|$, in better agreement with experiments. The hydrodynamic and contact contributions to the overall particle stress are particularly investigated. This shows that the effect of friction is mostly due to the additional contact stress since the hydrodynamic stress remains unaffected by friction. Simulation results are also compared with experiments, such as normal stresses or effective friction coefficient $\mu (I_v)$, and the agreement is improved when friction is accounted for. This suggests that friction is operative in actual suspensions.

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Section: Global µ(I V ) Rheologysupporting

confidence: 78%

Section: Global µ(I V ) Rheologymentioning

confidence: 80%

Section: Global µ(I V ) Rheologymentioning

confidence: 99%

Section: Global µ(I V ) Rheologymentioning

confidence: 99%

“…Here again, P p is assimilated to Σ c yy in our simulations. Boyer et al (2011a) proposed to model the friction law as the sum of the hydrodynamic µ h and contact µ c contribution by…”

Section: Global µ(I V ) Rheologymentioning

confidence: 99%

See 3 more Smart Citations

Rheology of sheared suspensions of rough frictional particles

et al. 2014

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Effects of crystal shape‐ and size‐modality on magma rheology

Moitra

Gonnermann

2015

Geochem Geophys Geosyst

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Erupting magma often contains crystals over a wide range of sizes and shapes, potentially affecting magma viscosity over many orders of magnitude. A robust relation between viscosity and the modality of crystal sizes and shapes remains lacking, principally because of the dimensional complexity and size of the governing parameter space. We have performed a suite of shear viscosity measurements on liquid-particle suspensions of dynamical similarity to crystal-bearing magma. Our experiments encompass five suspension types, each consisting of unique mixtures of two different particle sizes and shapes. The experiments span two orthogonal subspaces of particle concentration, as well as particle size and shape for each suspension type, thereby providing insight into the topology of parameter space. For each suspension type, we determined the dry maximum packing fraction and measured shear rates across a range of applied shear stresses. The results were fitted using a Herschel-Bulkley model and augment existing predictive capabilities. We demonstrate that our results are consistent with previous work, including friction-based constitutive laws for granular materials. We conclude that predictions for ascent rates of crystal-rich magmas must take the shear-rate dependence of viscosity into account. Shear-rate dependence depends first and foremost on the volume fraction of crystals, relative to the maximum packing fraction, which in turn depends on crystal size and shape distribution.

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Unifying the relative hindered velocity in suspensions and emulsions of nondeformable particles

Faroughi

Huber

2015

Geophys. Res. Lett.

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Citation:Faroughi, S. A., and C. Huber (2015), Unifying the relative hindered velocity in suspensions and emulsions of nondeformable particles, Geophys. Res. Lett., 42, 53-59, doi:10.1002 Abstract Although the relative velocity of a single crystal or bubble in a quiescent fluid (melt) is well characterized, the interplay of crystals/bubbles in multiparticle systems and its effect on their settling/rising velocity is poorly quantified. We propose a theoretical model for the hindered velocity of non-Brownian emulsions and suspensions of nondeformable fluid and solid particles in the creeping flow regime. The model is based on three sets of correction: two on the drag coefficient experienced by each particle to account for both return flow and Smoluchowski effects and a correction on the rheology to account for nonlocal interactions introduced as a mean-field effective viscosity. Our model is tested against new and published experimental data over a wide range of particle volume fraction and viscosity ratio between the fluids. We find an excellent agreement between our model and experiments. The model is then applied to show that hindered settling can increase mineral residence time by up to an order of magnitude in convecting magma chambers.

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Unifying Suspension and Granular Rheology

Cited by 750 publications

References 18 publications

Rheology of sheared suspensions of rough frictional particles

Rheology of sheared suspensions of rough frictional particles

Effects of crystal shape‐ and size‐modality on magma rheology

Unifying the relative hindered velocity in suspensions and emulsions of nondeformable particles

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