Migration of settling particles in a horizontal viscous flow through a vertical slot with porous walls

Лебедева, Н. А.; Asmolov, Evgeny S.

doi:10.1016/j.ijmultiphaseflow.2010.12.005

Cited by 6 publications

(4 citation statements)

References 33 publications

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“…With the addition of permeate flow, the interplay between the effects of axial and permeate flow (see figure 1a) results in a much richer particle behaviour than the case of pure inertial migration of a particle in axial flow (Altena & Belfort 1984;Drew et al 1991;Lebedeva & Asmolov 2011). Earlier theoretical work by Belfort and coworkers accounts for the effect of wall porosity on particle motion in a 2D geometry (Altena & Belfort 1984;Drew et al 1991) and has been validated experimentally (Otis et al 1986).…”

Section: Introductionmentioning

confidence: 94%

A linearised model for calculating inertial forces on a particle in the presence of a permeate flow

2018

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Section: Introductionmentioning

confidence: 94%

A linearised model for calculating inertial forces on a particle in the presence of a permeate flow

2018

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“…The expression for the particle collision efficiency (34) is obtained under the assumption that the condition of the liquid adhesion to the hydrophilic surface of the mineral is observed. In the flotation conditions, during the hydrodynamic interaction of hydrophobic polydisperse particles, when determining the collision efficiency, it is necessary to take into account an inaccurate compliance with the adhesion condition, i.e., the sliding of the liquid along the hydrophobic surface.…”

Section: Studying the Hydrodynamic Interaction Of Polydisperse Solid ...mentioning

confidence: 99%

“…The liquid flow lines induced by the motion of the single particles in the unlimited liquid are close to infinity [31,32]. However, when several particles move together, their hydrodynamic interaction manifests itself in the fact that the movement of each particle in the group is influenced by the movement of neighboring particles [33][34][35]. As a result, a single particle is influenced by a greater (than that determined by the Stokes formula) viscous drag force than that which influences each particle in the group.…”

Section: Introductionmentioning

confidence: 99%

Studying the Flotation of Gold-Bearing Ores Using Carrier Minerals

Evdokimov,

Golikov,

Zadkov

et al. 2024

Minerals

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This work is aimed at the analysis of the development of flotation technology by applying carrier minerals. Based on the concepts of continuum mechanics, a theoretical analysis of the influence of the carrier minerals (wall) on the motion of a single solid particle is provided, taking into account their hydrodynamic interaction (in the case of low Reynolds numbers). A correction was obtained in the form of a ratio of the particle size to its distance from the wall to take into account the influence of the wall on the hydrodynamic force acting on the particle. The influence of the wall is manifested through a rapid approximation of the liquid vortex flow in the gap between the solid wall and the particle to the steady-state mode, accompanied by the suppression of the transverse movement of particles. When the liquid slides along a wall-mounted gas–liquid layer with a reduced viscosity, the liquid flow increases in the interfacial gap, which can be analyzed by a dimensionless correction that includes values describing the properties of a continuous medium (dynamic viscosity) and a disperse phase (geometric particle size). The reason for the decrease in the induction time when gold grains adhere to each other is assumed to be due to the forces of hydrophobic attraction (when the grains have a mirror-smooth surface) and the sliding of the flow along the hydrophobic surface of the particles along the gas layer (when the grains have a rough surface). When polydisperse particles are aggregated, the threshold energy of the fast coagulation was established to be lower than that arising during the interaction of monodisperse particles, whose aggregation requires a large depth of the potential pit. Performing natural experiments on the ore using a rougher concentrate as a carrier material showed that the concentrate yield decreases by 20.52% rel. In the second case, the gold extraction was higher by 4.69% abs. While maintaining the achieved level of gold extraction, the double mixing of the rougher concentrate and the initial feed increased the gold content in the rougher concentrate from 4.97 to 6.29 g/t.

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“…A promising direction is also to induce an additional force by exploiting porous channel walls. With such walls the drag to permeate flow could be used to control focusing positions of particles [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Inertial migration of neutrally buoyant particles in superhydrophobic channels

et al. 2020

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At finite Reynolds numbers particles migrate across flow streamlines to their equilibrium positions in microchannels. Such a migration is attributed to an inertial lift force, and it is well-known that the equilibrium location of neutrally-buoyant particles is determined only by their size and the channel Reynolds number. Here we demonstrate that the decoration of a bottom wall of the channel by superhydrophobic grooves provides additional possibilities for manipulation of neutrally-buoyant particles. It is shown that the effective anisotropic hydrodynamic slip of such a bottom wall can be readily used to alter the equilibrium positions of particles and to generate their motion transverse to the pressure gradient. These results may guide the design of novel inertial microfluidic devices for efficient sorting of neutrally-buoyant microparticles by their size.

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Migration of settling particles in a horizontal viscous flow through a vertical slot with porous walls

Cited by 6 publications

References 33 publications

A linearised model for calculating inertial forces on a particle in the presence of a permeate flow

A linearised model for calculating inertial forces on a particle in the presence of a permeate flow

Studying the Flotation of Gold-Bearing Ores Using Carrier Minerals

Inertial migration of neutrally buoyant particles in superhydrophobic channels

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