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Flotation with sedimentation : Steady states and numerical simulation of transient operation

Bürger, Raimund ; Diehl, Stefan LU ; Martí, María del Carmen and Vásquez, Yolanda (2020) In Minerals Engineering 157.
Abstract

A spatially one-dimensional model of the hydrodynamics of a flotation column is based on one continuous phase, the fluid, and two disperse phases: the aggregates, that is, bubbles with attached hydrophobic valuable particles, and the solid particles that form the gangue. A common feed inlet for slurry mixture and gas is considered and the bubbles are assumed to be fully aggregated with hydrophobic particles as they enter the column. The conservation law of the three phases yields a model expressed as a system of partial differential equations where the nonlinear constitutive flux functions come from the drift-flux and solids-flux theories. In addition, the total flux functions are discontinuous in the spatial (height) coordinate because... (More)

A spatially one-dimensional model of the hydrodynamics of a flotation column is based on one continuous phase, the fluid, and two disperse phases: the aggregates, that is, bubbles with attached hydrophobic valuable particles, and the solid particles that form the gangue. A common feed inlet for slurry mixture and gas is considered and the bubbles are assumed to be fully aggregated with hydrophobic particles as they enter the column. The conservation law of the three phases yields a model expressed as a system of partial differential equations where the nonlinear constitutive flux functions come from the drift-flux and solids-flux theories. In addition, the total flux functions are discontinuous in the spatial (height) coordinate because of two inlets (slurry and wash water) and outlets at the top and bottom. The desired stationary solutions of this model can be characterized by operating charts. A novel numerical method is used for simulations of the hydrodynamics under variable operating conditions such as control actions that drive the process to desired states of operation.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Flotation column, Froth flotation, Mathematical model, Numerical simulation, Operating charts, Steady states, Three-phase model
in
Minerals Engineering
volume
157
article number
106419
publisher
Pergamon Press Ltd.
external identifiers
  • scopus:85089245677
ISSN
0892-6875
DOI
10.1016/j.mineng.2020.106419
language
English
LU publication?
yes
id
1ab2cf33-4459-4698-b1a2-bf2cb82eeb52
date added to LUP
2020-08-17 12:08:35
date last changed
2021-01-06 04:10:25
@article{1ab2cf33-4459-4698-b1a2-bf2cb82eeb52,
  abstract     = {<p>A spatially one-dimensional model of the hydrodynamics of a flotation column is based on one continuous phase, the fluid, and two disperse phases: the aggregates, that is, bubbles with attached hydrophobic valuable particles, and the solid particles that form the gangue. A common feed inlet for slurry mixture and gas is considered and the bubbles are assumed to be fully aggregated with hydrophobic particles as they enter the column. The conservation law of the three phases yields a model expressed as a system of partial differential equations where the nonlinear constitutive flux functions come from the drift-flux and solids-flux theories. In addition, the total flux functions are discontinuous in the spatial (height) coordinate because of two inlets (slurry and wash water) and outlets at the top and bottom. The desired stationary solutions of this model can be characterized by operating charts. A novel numerical method is used for simulations of the hydrodynamics under variable operating conditions such as control actions that drive the process to desired states of operation.</p>},
  author       = {Bürger, Raimund and Diehl, Stefan and Martí, María del Carmen and Vásquez, Yolanda},
  issn         = {0892-6875},
  language     = {eng},
  publisher    = {Pergamon Press Ltd.},
  series       = {Minerals Engineering},
  title        = {Flotation with sedimentation : Steady states and numerical simulation of transient operation},
  url          = {http://dx.doi.org/10.1016/j.mineng.2020.106419},
  doi          = {10.1016/j.mineng.2020.106419},
  volume       = {157},
  year         = {2020},
}