A Model of Froth Flotation with Drainage : Simulations and Comparison with Experiments
(2023) In Minerals 13(3).- Abstract
The operation of a froth flotation column can be described by a nonlinear convection–diffusion partial differential equation that incorporates the solids–flux and drift–flux theories as well as a model of foam drainage. The resulting model predicts the bubble and (gangue) particle volume fractions as functions of height and time. The steady-state (time-independent) version of the model defines so-called operating charts that map conditions on the gas and pulp feed rates that allow for operation with a stationary froth layer. Operating charts for a suitably adapted version of the model are compared with experimental results obtained with a laboratory flotation column. Experiments were conducted with a two-phase liquid–bubble flow. The... (More)
The operation of a froth flotation column can be described by a nonlinear convection–diffusion partial differential equation that incorporates the solids–flux and drift–flux theories as well as a model of foam drainage. The resulting model predicts the bubble and (gangue) particle volume fractions as functions of height and time. The steady-state (time-independent) version of the model defines so-called operating charts that map conditions on the gas and pulp feed rates that allow for operation with a stationary froth layer. Operating charts for a suitably adapted version of the model are compared with experimental results obtained with a laboratory flotation column. Experiments were conducted with a two-phase liquid–bubble flow. The results indicate good agreement between the predicted and measured conditions for steady states. Numerical simulations for transient operation, in part for the addition of solid particles, are presented.
(Less)
- author
- Betancourt, Fernando ; Bürger, Raimund LU ; Diehl, Stefan LU ; Gutiérrez, Leopoldo ; Martí, M. Carmen and Vásquez, Yolanda
- organization
- publishing date
- 2023-03
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- drainage, drift flux, froth flotation, mathematical model, numerical simulation, partial differential equation, steady state
- in
- Minerals
- volume
- 13
- issue
- 3
- article number
- 344
- publisher
- MDPI AG
- external identifiers
-
- scopus:85152396022
- ISSN
- 2075-163X
- DOI
- 10.3390/min13030344
- language
- English
- LU publication?
- yes
- id
- bc20c4e0-6f3b-4f94-8e20-feffa1d89967
- date added to LUP
- 2023-07-13 11:04:13
- date last changed
- 2023-07-13 11:04:13
@article{bc20c4e0-6f3b-4f94-8e20-feffa1d89967,
abstract = {{<p>The operation of a froth flotation column can be described by a nonlinear convection–diffusion partial differential equation that incorporates the solids–flux and drift–flux theories as well as a model of foam drainage. The resulting model predicts the bubble and (gangue) particle volume fractions as functions of height and time. The steady-state (time-independent) version of the model defines so-called operating charts that map conditions on the gas and pulp feed rates that allow for operation with a stationary froth layer. Operating charts for a suitably adapted version of the model are compared with experimental results obtained with a laboratory flotation column. Experiments were conducted with a two-phase liquid–bubble flow. The results indicate good agreement between the predicted and measured conditions for steady states. Numerical simulations for transient operation, in part for the addition of solid particles, are presented.</p>}},
author = {{Betancourt, Fernando and Bürger, Raimund and Diehl, Stefan and Gutiérrez, Leopoldo and Martí, M. Carmen and Vásquez, Yolanda}},
issn = {{2075-163X}},
keywords = {{drainage; drift flux; froth flotation; mathematical model; numerical simulation; partial differential equation; steady state}},
language = {{eng}},
number = {{3}},
publisher = {{MDPI AG}},
series = {{Minerals}},
title = {{A Model of Froth Flotation with Drainage : Simulations and Comparison with Experiments}},
url = {{http://dx.doi.org/10.3390/min13030344}},
doi = {{10.3390/min13030344}},
volume = {{13}},
year = {{2023}},
}