Viscometric functions of concentrated non-colloidal suspensions of spheres in a viscoelastic matrix

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

doi:10.1122/1.4851336

Cited by 42 publications

(58 citation statements)

References 21 publications

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“…Scirocco et al [1] observed shear thickening of the first normal stress coefficient of particle suspensions in BF1 and SST fluids. Similarly, Dai et al [2] The stresslet contributions to the first normal stress coefficient in Fig. 5 shear thin in a qualitatively similar manner to the stresslet contributions to the shear viscosity in Fig.…”

Section: Resultssupporting

confidence: 63%

“…The rheology of particle suspensions in polymeric fluids is important in many applications including injection molding of composite materials and the design of paints, coatings, health care, and food products. Many experimental studies [1][2][3][4][5][6][7] and limited multiparticle simulations [8][9][10] have explored the rheology of particle-filled polymeric fluids. The stress in a particle-polymer suspension is influenced by the particle stresslet, representing the stress transmitted through the interior of the rigid particles, and by the stresses caused by the deformed polymers.…”

Section: Introductionmentioning

confidence: 99%

“…This feature is particularly valuable in the present study because it means that any shear-rate dependence of the rheology obtained from our calculations will be the result of particle-polymer interactions rather than being a feature of the underlying rheology of the polymeric fluid. Scirocco et al [1] and Dai et al [2] have measured the rheology of particle suspensions in Boger fluids and weakly shear thinning fluids and found that both the shear viscosity and the first normal stress coefficient shear thickened.…”

Section: Introductionmentioning

confidence: 99%

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Stress in a dilute suspension of spheres in a dilute polymer solution subject to simple shear flow at finite Deborah numbers

2016

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The influence of particle-polymer interactions on the ensemble average stress is derived as a function of the Deborah number for a dilute suspension of spheres in an Oldroyd-B fluid in the limit of small polymer concentrations. The slow rate of decay of the particle-induced polymer stress with separation from a particle presents a challenge to the derivation of the average stress, which can be overcome by removing the linearized polymer stress disturbance before computing the bulk average stress from the particle-induced disturbance. The linearized stress can be shown to have zero ensemble average. The polymer influence on the particle's stresslet is computed with the aid of a generalized reciprocal theorem based on a regular perturbation from Newtonian flow for small polymer concentration. The analysis shows that the particle-polymer contributions to the shear stress and first normal stress difference shear thicken as has been observed in the experiments of Scirocco et al.[Shear thickening in filled Boger fluids, J. Rheol. 49, 551 (2005)]. The particle-polymer contribution to the second normal stress difference is positive at small Deborah numbers but changes sign at a Deborah number of about 2.3.

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Section: Resultssupporting

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stress in a dilute suspension of spheres in a dilute polymer solution subject to simple shear flow at finite Deborah numbers

2016

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“…The available measurements of shear rheology in viscoelastic particle suspensions display shear thickening [6][7][8]. It is, however, not possible to extract an Wi 2 trend from their data for quantitative comparison.…”

Section: Discussionmentioning

confidence: 99%

“…Experiments with suspensions of spherical particles in viscoelastic fluids show shear-thickening at low (< 10%) volume fractions of particles [6][7][8]. In contrast, Newtonian suspensions shear-thin or thicken only at rather high volume fractions φ > 30-40%, because of particle interactions [9].…”

Section: Introductionmentioning

confidence: 98%

Einstein viscosity with fluid elasticity

2018

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We give the first correction to the suspension viscosity due to fluid elasticity for a dilute suspension of spheres in a viscoelastic medium. Our perturbation theory is valid to O(φWi 2 ) in the Weissenberg number Wi =γλ, whereγ is the typical magnitude of the suspension velocity gradient, and λ is the relaxation time of the viscoelastic fluid. For shear flow we find that the suspension shear-thickens due to elastic stretching in strain 'hot spots' near the particle, despite the fact that the stress inside the particles decreases relative to the Newtonian case. We thus argue that it is crucial to correctly model the extensional rheology of the suspending medium to predict the shear rheology of the suspension. For uniaxial extensional flow we correct existing results at O(φWi), and find dramatic strain-rate thickening at O(φWi 2 ). We validate our theory with fully resolved numerical simulations.arXiv:1705.06770v3 [physics.flu-dyn]

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On the rheology of particle suspensions in viscoelastic fluids

Shaqfeh

2019

AIChE Journal

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Viscometric functions of concentrated non-colloidal suspensions of spheres in a viscoelastic matrix

Cited by 42 publications

References 21 publications

Stress in a dilute suspension of spheres in a dilute polymer solution subject to simple shear flow at finite Deborah numbers

Stress in a dilute suspension of spheres in a dilute polymer solution subject to simple shear flow at finite Deborah numbers

Einstein viscosity with fluid elasticity

On the rheology of particle suspensions in viscoelastic fluids

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