On the pressure-driven flow of suspensions: Particle migration in shear sensitive liquids

Rebouças, R.B.; Siqueira, Ivan R.; Mendes, Paulo R. de Souza; Carvalho, Márcio S.

doi:10.1016/j.jnnfm.2016.06.001

Cited by 27 publications

(19 citation statements)

References 58 publications

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“…By contrast, for the highest confinement condition (C = 0.2433) in this study, in which all particles were channel-centered, the relative viscosity decreased to 1.085 6 0.062, which is consistent with previously reported results. 1,29,30 This decrease for higher confinement suspensions can be attributed to the wide gaps in the y-direction (see Table 1) between the near-wall particles and the channel wall. The particles were distributed independently and homogeneously as an initial condition, and no Segre´-Silberberg particle migration occurred because of the low Reynolds number.…”

Section: Resultsmentioning

confidence: 97%

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Numerical study on the inertial effects of particles on the rheology of a suspension

Fukui

Kawaguchi

Morinishi

2019

Advances in Mechanical Engineering

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Einstein's viscosity formula is only applicable for dilute suspensions in which hydrodynamic interactions or inertial effects are sufficiently negligible. Therefore, the contribution of hydrodynamic interactions or the effects of inertia on the rheology of suspensions should be investigated. In order to evaluate the inertial effects of microscopic particles on the macroscopic rheology of a suspension, pressure-driven flow simulations with various confinements and Reynolds numbers were performed by a two-way coupling scheme. The results showed that the relative viscosity of the suspension decreases with increase in the particle size even when the concentration of the suspension remains the same. The results also indicated that the confinement should be less than 0.02 when applying Einstein's viscosity formula. Moreover, the relative viscosity of the suspension under a high Reynolds number condition increases because of outward particle migration, and the non-Newtonian property of the suspension changes from thixotropy to dilatancy. Suspension is a potential fluid because its macroscopic rheological properties are altered owing to suspended particles' behavior, that is, its microstructure. It can be stated that inertia is one of the promising factors to control suspension rheology.

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Section: Resultsmentioning

confidence: 97%

“…The first term on the right-hand side is equal to the Maxwell equilibrium distribution function f eq a . By substituting the second term for f 1 a , the distribution function f a can be written as…”

Section: Governing Equation For Fluid Part Of Simulationsmentioning

confidence: 99%

Numerical study on the inertial effects of particles on the rheology of a suspension

Fukui

Kawaguchi

Morinishi

2019

Advances in Mechanical Engineering

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“…Various models have been proposed and expanded based on these principles. 38,42,47,48 Thus, the particle mobility and concentration distribution in a channel flow have been investigated and evaluated extensively by experiments and numerical computations.…”

Section: Introductionmentioning

confidence: 99%

Particle and rigidized red blood cell concentration distributions in microchannel flows

et al. 2019

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“…For instance, the model deals with empirical phenomenological parameters that are hard to measure [23,24] and fails to predict particle migration in curvilinear torsional flows [25][26][27][28]. Another problem is related to its numerical implementation, since the model becomes singular as the local shear rate approaches zero, as occurs near the symmetry plane of pressure-driven flows through tubes and channels [29,30]. However, because of its relative simplicity, good accuracy and low computational cost, the diffusive flux model has been extensively used to study particle migration in many different problems involving complex flows, such as flows through two-and three-dimensional bifurcations [31,32], free-surface flows [33,34], and flows of suspensions with non-spherical particles [35,36].…”

Section: Introductionmentioning

confidence: 99%

Shear-induced particle migration in the flow of particle suspensions through a sudden plane expansion

Siqueira

Carvalho

2018

J Braz. Soc. Mech. Sci. Eng.

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This work investigates the creeping flow of particle suspensions through an abrupt 1:4 plane expansion. The suspension is composed by non-Brownian, rigid spherical particles suspended in a viscous Newtonian liquid. The flow is described by mass and momentum conservation equations together with a convection-diffusion transport equation that accounts for shear-induced particle migration according to the diffusive flux model. The resulting set of fully coupled, nonlinear differential equations is solved with a stabilized finite element method. A detailed parametric study is presented in terms of suspension bulk concentration, particle Péclet number and ratio of diffusivity coefficients, and the numerical results show significant effects of these parameters on the particle concentration field in the flow.

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On the pressure-driven flow of suspensions: Particle migration in shear sensitive liquids

Cited by 27 publications

References 58 publications

Numerical study on the inertial effects of particles on the rheology of a suspension

Numerical study on the inertial effects of particles on the rheology of a suspension

Particle and rigidized red blood cell concentration distributions in microchannel flows

Shear-induced particle migration in the flow of particle suspensions through a sudden plane expansion

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