The Inertial Hydrodynamic Interaction of Particles and Rising Bubbles with Mobile Surfaces

Dai, Zhujiang; Dukhin, S. S.; Fornasiero, Daniel; Ralston, John

doi:10.1006/jcis.1997.5280

Cited by 166 publications

(81 citation statements)

References 34 publications

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“…In a turbulent flotation cell, the particle and bubble velocities are high and inertial forces may not be negligible (Dobby & Finch, 1986;Luttrell & Yoon, 1992). The essential role of inertial particle deposition has been verified and described quantitatively for cases of Stokes number above the critical value (Dobby & Finch, 1987).…”

Section: Inertial Forces In Collisionsmentioning

confidence: 85%

“…The essential role of inertial particle deposition has been verified and described quantitatively for cases of Stokes number above the critical value (Dobby & Finch, 1987). Dai et al (1998) demonstrated that inertial forces are not negligible even at subcritical Stokes number under the condition in which the bubble surface is mobile. While the bubble-particle collision efficiency increases with the Stokes number during the particles approach to the bubble as a result of inertial deposition, as the particle streamlines around the bubble, inertial forces are a negative effect on the particlebubble collisions if the bubble surface is mobile.…”

Section: Inertial Forces In Collisionsmentioning

confidence: 88%

“…Schulze (1992) mentioned that the degree of bubble surface retardation is not solved and uncertainties exist when collision theory is applied in an industrial situation. Only a few papers were published in theoretical and experimental investigations of bubble-particle collisions under the conditions of mobile bubble surfaces (Hewitt et al, 1994;Dai et al, 1998;Nguyen, 1998). Mobile bubble surfaces increase critical thickness for rupture of the film between particle and bubble and enhance bubble-particle collisions (Schulze, 1992).…”

Section: Effect Of Bubble Surface Mobility On Collisionsmentioning

confidence: 99%

“…While the bubble-particle collision efficiency increases with the Stokes number during the particles approach to the bubble as a result of inertial deposition, as the particle streamlines around the bubble, inertial forces are a negative effect on the particlebubble collisions if the bubble surface is mobile. But the prediction of Dai et al (1998) is valid only for Stokes numbers less than 0.27.…”

Section: Inertial Forces In Collisionsmentioning

confidence: 99%

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CFD-based modelling of bubble-particle collision efficiency with mobile bubble surface in a turbulent environment

Liu

Schwarz

2009

International Journal of Mineral Processing

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Flotation modelling to date appears to have concentrated either on macroscale processes or on ideal microscale processes -there has been no attempt to integrate detailed models at different scales. In this paper, bubble-particle collision efficiency with mobile bubble surfaces in a turbulent flow is investigated from a multiscale modelling viewpoint and a general methodology for modelling of turbulent bubble-particle collision efficiency with mobile surfaces is presented. An integrated CFD-based scheme is developed. The method can also be applied to nonNewtonian slurries. Example simulations and comparisons are carried out to illustrate the method. Turbulence effects on particle-bubble collision efficiency are systematically studied using a 3D ε − k turbulence model.

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Section: Inertial Forces In Collisionsmentioning

confidence: 85%

Section: Inertial Forces In Collisionsmentioning

confidence: 88%

Section: Effect Of Bubble Surface Mobility On Collisionsmentioning

confidence: 99%

Section: Inertial Forces In Collisionsmentioning

confidence: 99%

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CFD-based modelling of bubble-particle collision efficiency with mobile bubble surface in a turbulent environment

Liu

Schwarz

2009

International Journal of Mineral Processing

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“…Therefore, the integration in Eq. (24)  from 90 degrees is due to a number of reasons, including the fore-andaft asymmetry of water flow around air bubbles (Dobby and Finch, 1986;Nguyen and Schulze, 2004), centrifugal forces (Dai et al, 1998) and inertial forces (Ralston et al, 1999;Nguyen and Schulze, 2004). The fore-and-aft asymmetry is due to the millimetre size of the air bubbles used in flotation, which have a Reynolds number, Re, usually in the range 1-500.…”

Section: Effect Of Turbulence On Bubble-particle Collision Interactionmentioning

confidence: 99%

A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation

Nguyen

An-Vo

Tran-Cong

et al. 2016

International Journal of Mineral Processing

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Flotation in mechanically agitated cells has been the workhorse of the mining industry, but our quantitative understanding of the effect of microturbulence generated by agitation on flotation is still very limited. This paper aims to review the literature on quantifying the microturbulence effects on bubble-particle interactions in flotation. The particular focus is on the stochastic description of bubble-particle interactions in the turbulent flow which is a random field. We briefly review the stochastic description of microturbulence and motions of particles of micrometre sizes and bubbles of millimetre sizes in the isotropic turbulence of mechanical flotation cells. The key starting point is the generic equation of motion, which can be decomposed into the mean turbulent variables and fluctuating turbulent variables. The turbulent flow of the carrying liquid is characterised using isotropic turbulence theory. The next focus is on reviewing bubble-particle turbulent collision and detachment interactions. Bubble-particle turbulent collision is poorly quantified; no quantitative models of the bubble-particle turbulent collision efficiency relevant for flotation are available.Current theories on bubble-particle turbulent detachment face some deficiencies. In assessing the microturbulence effect on bubble-particle detachment, the majority of studies only consider the particle acceleration in the centrifugal direction but ignore the transverse acceleration of particles, which is due to turbulent shear flow. Critically, contact angle required in quantifying the detachment is not constant, single-valued as considered in the theories, but can vary from receding to advancing value during the relaxation of the triple contact line on the particle surface. The latest experiments show that multiple-valued contact angle can significant affect stability and detachment of floating particles. Finally, quantifying the microturbulence effect on flotation requires further research.

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Kinetics of microbubble–solid surface interaction and attachment

Yang

Dąbroś

et al. 2003

AIChE Journal

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The Inertial Hydrodynamic Interaction of Particles and Rising Bubbles with Mobile Surfaces

Cited by 166 publications

References 34 publications

CFD-based modelling of bubble-particle collision efficiency with mobile bubble surface in a turbulent environment

CFD-based modelling of bubble-particle collision efficiency with mobile bubble surface in a turbulent environment

A review of stochastic description of the turbulence effect on bubble-particle interactions in flotation

Kinetics of microbubble–solid surface interaction and attachment

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