The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids

Zarraga, Isidro E.; Hill, Davide A.; Leighton, David T.

doi:10.1122/1.551083

Cited by 341 publications

(406 citation statements)

References 26 publications

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“…Friction increases η r and |N 2 | and decreases |N 1 |, in better agreement with available experiments. In particular, the N 2 /N 1 ratio is typically about 3⇠4, which corroborates experiments from Zarraga et al (2000). Yet, we have not found quasi-zero or positive N 1 as attested by some other measurements (Couturier et al 2011;Dbouk et al 2013).…”

Section: Discussionsupporting

confidence: 74%

“…Friction results in a larger N 2 /N 1 ratio that grows with friction coefficient and volume fraction. For dense regimes φ & 0.4 and large friction coefficients µ d & 0.3, N 2 /N 1 is in the range 3⇠4, which matches quite well the experiments from Zarraga et al (2000) who found N 2 /N 1 ⇡ 3.6. Unlike their results however, our simulations suggest that N 2 /N 1 has a φ-dependence which is well-marked in the range 0.2⇠0.4.…”

Section: Effect Of Friction On Viscositysupporting

confidence: 78%

“…Figure 9 presents the φ-dependence of the suspensions relative viscosity ⌘ r for different friction coefficients µ d . A number of experimental results by Zarraga et al (2000) and Dbouk et al (2013) are also shown. For frictionless particles (µ d =0), the agreement is moderate with predicted viscosities systematically lower than experimental results.…”

Section: Effect Of Friction On Viscositymentioning

confidence: 99%

“…By contrast, the normal stresses Σ xx ,Σ yy , and Σ zz (where x, y, and z refer to the direction of velocity, velocity gradient, and vorticity, respectively) are much less studied and available results are still controversial. From experiments in parallel-plate and Couette geometries, Zarraga et al (2000) measured negative normal stress differences N 1 =Σ xx − Σ yy and N 2 =Σ yy − Σ zz with similar dependence on the volume fraction. The second normal stress difference |N 2 | is found to be larger than |N 1 | with N 2 /N 1 ⇡ 3.6.…”

Section: Introductionmentioning

confidence: 99%

“…From a more fundamental viewpoint however, the study of normal stresses is essential. Furthermore, there exist only very scarce experimental data on normal stresses in suspensions (Zarraga et al 2000;Dbouk et al 2013;Couturier et al 2011;Boyer et al 2011b;Garland et al 2012). This section considers the role of friction on normal stresses and comparisons with experiments will be provided in the forthcoming sections.…”

Section: Effect Of Friction On Normal Stressesmentioning

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: Discussionsupporting

confidence: 74%

Section: Effect Of Friction On Viscositysupporting

confidence: 78%

Section: Effect Of Friction On Viscositymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Effect Of Friction On Normal Stressesmentioning

confidence: 99%

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Rheology of sheared suspensions of rough frictional particles

et al. 2014

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Dynamics of glide avalanches and snow gliding

Ancey

Bain²

2015

Reviews of Geophysics

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In recent years, due to warmer snow cover, there has been a significant increase in the number of cases of damage caused by gliding snowpacks and glide avalanches. On most occasions, these have been full-depth, wet-snow avalanches, and this led some people to express their surprise: how could low-speed masses of wet snow exert sufficiently high levels of pressure to severely damage engineered structures designed to carry heavy loads? This paper reviews the current state of knowledge about the formation of glide avalanches and the forces exerted on simple structures by a gliding mass of snow. One particular difficulty in reviewing the existing literature on gliding snow and on force calculations is that much of the theoretical and phenomenological analyses were presented in technical reports that date back to the earliest developments of avalanche science in the 1930s. Returning to these primary sources and attempting to put them into a contemporary perspective are vital. A detailed, modern analysis of them shows that the order of magnitude of the forces exerted by gliding snow can indeed be estimated correctly. The precise physical mechanisms remain elusive, however. We comment on the existing approaches in light of the most recent findings about related topics, including the physics of granular and plastic flows, and from field surveys of snow and avalanches (as well as glaciers and debris flows). Methods of calculating the forces exerted by glide avalanches are compared quantitatively on the basis of two case studies. This paper shows that if snow depth and density are known, then certain approaches can indeed predict the forces exerted on simple obstacles in the event of glide avalanches or gliding snow cover.

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Rheology: From Simple Fluids to Complex Suspensions

Chhabra

2016

Lignocellulosic Fibers and Wood Handbook

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The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids

Cited by 341 publications

References 26 publications

Rheology of sheared suspensions of rough frictional particles

Rheology of sheared suspensions of rough frictional particles

Dynamics of glide avalanches and snow gliding

Rheology: From Simple Fluids to Complex Suspensions

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