Transport Processes in Concentrated Suspensions: The Role of Particle Fluctuations

Jenkins, James T.; McTigue, D. F.

doi:10.1007/978-1-4613-9022-0_5

Cited by 49 publications

(38 citation statements)

References 13 publications

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“…While the macroscopic equations are phenomenologically similar to those used to model the behaviour of dry granular flows, and this analogy has been put forward by Jenkins & McTigue (1990), the origin of the velocity fluctuations is quite different from that in granular flows. (In dry granular flows dissipation occurs within particles due to inelastic collisions, and the rate of dissipation scales as the granular temperature to the power.)…”

Section: (52)mentioning

confidence: 98%

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Pressure-driven flow of suspensions: simulation and theory

1994

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Dynamic simulations of the pressure-driven flow in a channel of a non-Brownian suspension at zero Reynolds number were conducted using Stokesian Dynamics. The simulations are for a monolayer of identical particles as a function of the dimensionless channel width and the bulk particle concentration. Starting from a homogeneous dispersion, the particles gradually migrate towards the centre of the channel, resulting in an homogeneous concentration profile and a blunting of the particle velocity profile. The time for achieving steady state scales as ( H /~)~a / ( u ) ,where H is the channel width, a the radii of the particles, and ( u ) the average suspension velocity in the channel. The concentration and velocity profiles determined from the simulations are in qualitative agreement with experiment.A model for suspension flow has been proposed in which macroscopic mass, momentum and energy balances are constructed and solved simultaneously. It is shown that the requirement that the suspension pressure be constant in directions perpendicular to the mean motion leads to particle migration and concentration variations in inhomogeneous flow. The concept of the suspension 'temperature ' -a measure of the particle velocity fluctuations -is introduced in order to provide a nonlocal description of suspension behaviour. The results of this model for channel flow are in good agreement with the simulations.

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Section: (52)mentioning

confidence: 98%

“…Theoretical models for the migration process have been proposed by Leighton & Acrivos (19873) and Jenkins & McTigue (1990). The former authors proposed a diffusion equation for particles, to be solved in conjunction with the continuity and momentum equations for the entire suspension.…”

Section: Introductionmentioning

confidence: 99%

Pressure-driven flow of suspensions: simulation and theory

1994

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“…Another class of models exist in the literature for modeling shear-induced particle migration, in which the interfacial stress in the particle phase is described by a constitutive equation and the particle transport is governed by the gradients in this stress [13][14][15][16]. These types of models are designated as ''Suspension balance model" in the literature.…”

Section: Introductionmentioning

confidence: 98%

Modeling shear-induced diffusion force in particulate flows

2009

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“…Suspension balance models provide a non-local description of suspension behaviour in terms of particle's velocity fluctuations and are based on statistical mechanics arguments [27,[29][30][31]. This approach utilizes a particulate-phase momentum balance transverse to the direction of flow, along with the recognition of a particle-phase normal stress that results from particle interactions, to obtain the equation for the particle concentration profile [27,[29][30][31]. Although there is no reference to the fluid in this model, the fluid does govern the nature of the interactions between particles.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of concentrated fluid–particle suspension flow in a wavy channel

Mukhopadhyay

Usha

Tulapurkara

2008

Numerical Methods in Fluids

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SUMMARYThe particle migration effects and fluid-particle interactions occurring in the flow of highly concentrated fluid-particle suspension in a spatially modulated channel have been investigated numerically using a finite volume method. The mathematical model is based on the momentum and continuity equations for the suspension flow and a constitutive equation accounting for the effects of shear-induced particle migration in concentrated suspensions. The model couples a Newtonian stress/shear rate relationship with a shear-induced migration model of the suspended particles in which the local effective viscosity is dependent on the local volume fraction of solids. The numerical procedure employs finite volume method and the formulation is based on diffuse-flux model. Semi-implicit method for pressure linked equations has been used to solve the resulting governing equations along with appropriate boundary conditions. The numerical results are validated with the analytical expressions for concentrated suspension flow in a plane channel. The results demonstrate strong particle migration towards the centre of the channel and an increasing blunting of velocity profiles with increase in initial particle concentration. In the case of a stenosed channel, the particle concentration is lowest at the site of maximum constriction, whereas a strong accumulation of particles is observed in the recirculation zone downstream of the stenosis. The numerical procedure applied to investigate the effects of concentrated suspension flow in a wavy passage shows that the solid particles migrate from regions of high shear rate to low shear rate with low velocities and this phenomenon is strongly influenced by Reynolds numbers and initial particle concentration.

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Transport Processes in Concentrated Suspensions: The Role of Particle Fluctuations

Cited by 49 publications

References 13 publications

Pressure-driven flow of suspensions: simulation and theory

Pressure-driven flow of suspensions: simulation and theory

Modeling shear-induced diffusion force in particulate flows

Numerical study of concentrated fluid–particle suspension flow in a wavy channel

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