Viscometric functions for noncolloidal sphere suspensions with Newtonian matrices

Dai, Shaocong; Bertevas, Erwan; Qi, Fuzhong; Tanner, Roger I.

doi:10.1122/1.4774325

Cited by 91 publications

(76 citation statements)

References 19 publications

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“…Later measurements by Singh & Nott (2003) using similar devices have confirmed that N 1 and N 2 are both negative but with a ratio N 2 /N 1 which depends on φ. Dai et al (2013) used a combination of a parallelplate rheometer and the open semi-circular trough method to measure N 1 and N 2 .T h e y found a good agreement with previous works with negative normal stress differences and |N 1 |⌧| N 2 |. Those three studies measured negative normal stress differences with |N 1 | smaller than |N 2 |.…”

Section: Introductionsupporting

confidence: 74%

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: Introductionsupporting

confidence: 74%

Rheology of sheared suspensions of rough frictional particles

et al. 2014

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“…Future works shall also consider in more details the issue of normal stresses. Indeed, another important non-Newtonian rheological feature exhibited by non-colloidal suspensions is the development of normal stress differences in simple shear flow, with negative values of N 2 , an ongoing debate concerning the sign of N 1 , and a ratio |N 2 /N 1 | on the order of three, typically [4,[50][51][52][53]. In agreement with experimental observations, our model effectively predicts that microstructure anisotropy is associated to the existence of normal stresses proportional to shear rate.…”

Section: Discussionsupporting

confidence: 73%

A new rate-independent tensorial model for suspensions of noncolloidal rigid particles in Newtonian fluids

Ozenda

Saramito

Chambon

2018

Journal of Rheology

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SynopsisWe propose a new, minimal tensorial model attempting to clearly represent the role of microstructure on the viscosity of non-colloidal suspensions of rigid particles. Qualitatively, this model proves capable of reproducing several of the main rheological trends exhibited by concentrated suspensions: anisotropic and fore-aft asymmetric microstructure in simple shear and transient relaxation of the microstructure towards its stationary state. The model includes only few constitutive parameters, with clear physical meaning, that can be identified from comparisons with experimental data. Hence, quantitative predictions of the complex transient evolution of apparent viscosity observed after shear reversals are reproduced for a large range of volume fractions. Comparisons with microstructural data shows that not only the depletion angle, but the pair distribution function, are well predicted. To our knowledge, it is the first time that a microstructure-based rheological model is successfully compared to such a wide experimental dataset.

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“…Output results depend uniquely on the physical model adopted for the solvent medium (a Newtonian inertia-less fluid in that case) and not on hidden details of the numerical implementation. As a matter of fact, converged rheological results for the suspension viscosity have been achieved in excellent agreement with previous results obtained by alternative techniques (i.e., Stokesian dynamics) [89] and experiments [88] . The fact that the obtained flow behavior is "numerically converged" and it uniquely relies on the physical model adopted with no tuning parameters (such as effective particle hydrodynamic radius, effective rigid-core radius, and effective bulk viscosity/solid volume fraction), precisely allows the technique to be predictive, as opposite to descriptive, i.e., being able to reproduce complex fluid rheology.…”

Section: How Is the Fluid Complexity Incorporated In Sdpd?supporting

confidence: 78%