Random close packing and relative viscosity of multimodal suspensions

Qi, Fuzhong; Tanner, Roger I.

doi:10.1007/s00397-011-0597-3

Cited by 40 publications

(16 citation statements)

References 26 publications

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“…[], Barnes [], Pishvaei et al . [], and Qi and Tanner []. Most of these studies have analyzed (a) bimodal suspensions in which the main solid phase is represented by spheres of a coarse size and (b) the effect of particle size ratio on the viscosity.…”

Section: Discussionmentioning

confidence: 99%

Rheology of bimodal crystals suspensions: Results from analogue experiments and implications for magma ascent

Gaudio

2014

Geochem Geophys Geosyst

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[1] The effect of crystal size of bimodal suspensions on rheology of magmas at strain rates between 0 and 1 s 21 is studied. Suspensions consist of silicon oil and two populations of natural crystals with size 63-125 and 250-500 mm mixed in different proportions; the total solid fraction / of the mixtures is between 0.25 and 0.5. At / 0.4, finer, coarser, and bimodal suspensions display comparable viscosities. At / ! 0.4, the viscosity of the bimodal suspensions is larger than that of the unimodal ones. The bimodal suspension, made mainly of finer crystals, shows a stronger increase of viscosity with /. The addition of finer crystals to a suspension of coarser ones produces a more pronounced increase of viscosity with respect to suspensions of coarse or fine crystals alone, and of finer crystals with added coarser ones. The bimodal suspensions of coarser crystals develops yield stress at / ! 0.25, the others at / ! 0.4. It is modeled the ascent velocity in a 20 m wide dike of magmas with bimodal and unimodal populations of crystals of different size. For / 0.4, the crystal size has not effects on the ascent velocity of magmas. For / ! 0.4, the velocity of a magma with growing phenocrystals decreases as / increases less than that of a magma with forming microlites, and more of a magma with microlites and growing phenocrystals. A magma with phenocrystals and forming microlites has the lowest ascent velocity.Components: 5,492 words, 5 figures, 1 table.

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Section: Discussionmentioning

confidence: 99%

Rheology of bimodal crystals suspensions: Results from analogue experiments and implications for magma ascent

Gaudio

2014

Geochem Geophys Geosyst

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“…/ rcp can be obtained by considering geometrical packing using measurements of particle size distribution. Surprisingly, despite the availability of models to do this [3,[30][31][32][33][34], these are not routinely or even occasionally used in the rheology literature to define experimental results relating viscosity to phase volume.…”

Section: Proposed Approach To Analyse Suspension Rheologymentioning

confidence: 94%

Analytically predicting the viscosity of hard sphere suspensions from the particle size distribution

Shewan

Stokes

2015

Journal of Non-Newtonian Fluid Mechanics

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“…Here, φ max = 0.639 is assumed, as determined by Qi and Tanner. 32 Note that the sediment bed compresses towards the maximum volume fraction as increased pressure is applied. Hence, the maximum volume fraction is unlikely to be fully realized.…”

Section: B Determining the Effective Maximum Volume Fractionmentioning

confidence: 99%

Numerical and experimental analysis of the sedimentation of spherical colloidal suspensions under centrifugal force

et al. 2018

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Understanding the sedimentation behaviour of colloidal suspensions is crucial in determining their stability. Since sedimentation rates are often very slow, centrifugation is used to expedite sedimentation experiments. The effect of centrifugal acceleration on sedimentation behaviour is not fully understood. Furthermore, in sedimentation models, interparticle interactions are usually omitted by using the hard-sphere assumption. This work proposes a one-dimensional model for sedimentation using an effective maximum volume fraction, with an extension for sedimentation under centrifugal force. A numerical implementation of the model using an adaptive finite difference solver is described. Experiments with silica suspensions are carried out using an analytical centrifuge. The model is shown to be a good fit with experimental data for 480 nm spherical silica, with the effects of centrifugation at 705 rpm studied. A conversion of data to Earth gravity conditions is proposed, which is shown to recover Earth gravity sedimentation rates well. This work suggests that the effective maximum volume fraction accurately captures interparticle interactions and provides insights into the effect of centrifugation on sedimentation.

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Random close packing and relative viscosity of multimodal suspensions

Cited by 40 publications

References 26 publications

Rheology of bimodal crystals suspensions: Results from analogue experiments and implications for magma ascent

Rheology of bimodal crystals suspensions: Results from analogue experiments and implications for magma ascent

Analytically predicting the viscosity of hard sphere suspensions from the particle size distribution

Numerical and experimental analysis of the sedimentation of spherical colloidal suspensions under centrifugal force

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