Particle-phase distributions of pressure-driven flows of bidisperse suspensions

Norman, Jay T.; Oguntade, Babatunde O.; Bonnecaze, Roger T.

doi:10.1017/s0022112007008804

Cited by 8 publications

(3 citation statements)

References 34 publications

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“…However, the normal stress differences of the particle phase are not the same as that of the suspension. The numerous studies [19][20][21][22][23][24][25][26][27] that have used and extended the SBM have retained the error of equating ͗ h ͘ p with ⌺ h͑p͒ . The outline of this paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

The suspension balance model revisited

Nott¹,

Guazzelli²,

Pouliquen³

2011

Physics of Fluids

120

119

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This paper addresses a fundamental discrepancy between the suspension balance model and other two-phase flow formulations. The former was proposed to capture the shear-induced migration of particles in Stokesian suspensions, and hinges on the presence of a particle phase stress to drive particle migration. This stress is taken to be the "particle stress," defined as the particle contribution to the suspension stress. On the other hand, the two-phase flow equations derived in several studies show only a force acting on the particle phase, but no stress. We show that the identification of the particle phase stress with the particle contribution to the suspension stress in the suspension balance model is incorrect, but there exists a well-defined particle phase stress. Following the rigorous method of volume averaging, we show that the force on the particle phase may be written as the sum of an interphase drag and the divergence of the particle phase stress. We derive exact micromechanical relations for these quantities. We also comment on the interpretations and results of previous studies that are based on the identification of the particle phase stress with the particle contribution to the suspension stress.

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Section: Introductionmentioning

confidence: 99%

The suspension balance model revisited

Nott¹,

Guazzelli²,

Pouliquen³

2011

Physics of Fluids

120

119

View full text Add to dashboard Cite

show abstract

“…8,51 An example of the use of underresolved methods to simulate the low Reynolds number pressure-driven flow of a bidisperse suspension subjected to buoyancy and shear-induced migration to obtain the steady state solution can be found in ref. 41.…”

Section: Introductionmentioning

confidence: 99%

Model for particle migration in bidisperse suspensions by use of effective temperature

2012

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A model for the particle migration in a bidisperse flowing suspension is proposed and compared to experimental data. A mixture formulation, describing the suspension velocity and pressure and the concentrations of two solid fractions is derived from a multi-fluid model. In the multi-fluid model the liquid phase and both dispersed phases are interpenetrating phases. The closure relations are based on a mean field approach extending closure relations of a monodisperse suspension. The model is used to predict segregation based on particle size in channel flow where the particles are subjected to Brownian motion and shear-induced migration. The comparison of the model results with experimental data shows that particle migration is predicted well by the given formulation.

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“…Ref. [8] examined bidispersed suspensions of negatively buoyant particles in a low Reynolds number pressure-driven pipe flow. A nonlinear ERT reconstruction algorithm was used.…”

Section: Slurry Ert Literature Reviewmentioning

confidence: 99%

Electrical Resistance Tomography Applied to Slurry Flows

Graham¹

2023

Advances in Slurry Technology

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Electrical resistance tomography (ERT) is used to investigate a variety of slurry flow applications including pipe flow, mixing tanks, and thickener feed wells. Transparent liquids such as Carbopol polymer solutions and water are often used to allow for visualization of slurry flows, but ERT can provide data about solids behavior when the liquid phase is transparent or when it is opaque. The state of suspension of solids using ERT is often useful even when the technique is not a primary requirement of a test. The chapter introduces ERT from the point of view of a user in a research environment, but with flow scenarios relevant to industrial applications in mineral processing. Relevant literature concerning slurry flow applications of ERT is reviewed. The basic theory of ERT will be presented together with a discussion of the image reconstruction problem which is a topic of research activity in the slurry transport community. An overview of ERT applications in slurry pipe flow and mixing tanks will be presented. Examples of the application of ERT to pipe flow and tanks will be discussed in detail, including practical experiences with integrating ERT into slurry pipe and tank rigs.

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Particle-phase distributions of pressure-driven flows of bidisperse suspensions

Cited by 8 publications

References 34 publications

The suspension balance model revisited

The suspension balance model revisited

Model for particle migration in bidisperse suspensions by use of effective temperature

Electrical Resistance Tomography Applied to Slurry Flows

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