2690 XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3
[8] Bürger, R. Diehl, S. Martí, M.C. Vásquez, Y. A
degenerating convection-diffusion system modelling
froth flotation with drainage. IMA J. Appl. Math.
2022, 87, 1151–1190.
[9] Bürger, R. Diehl, S. Martí, M.C. Vásquez, Y.
Flotation with sedimentation: Steady states and
numerical simulation of transient operation. Miner.
Eng. 2020, 157, 106419.
[10] Bürger, R. Karlsen, K.H. Towers, J.D. A model of
continuous sedimentation of flocculated suspensions
in clarifier-thickener units. SIAM J. Appl. Math.
2005, 65, 882–940.
[11] Dickinson, J.E. Galvin, K.P. Fluidized bed deslim-
ing in fine particle flotation, Part I. Chem. Eng. Sci.
2014, 108, 283–298.
[12] Diehl, S. A regulator for continuous sedimentation
in ideal clarifier-thickener units. J. Eng. Math. 2008,
60, 265– 291.
[13] Diehl, S. Operating charts for continuous sedimenta-
tion I: Control of steady states. J. Eng. Math. 2001,
41, 117– 144.
[14] Diehl, S. Farås, S. Control of an ideal activated
sludge process in wastewater treatment via an ODE-
PDE model. J. Process Control 2013, 23, 359–381.
[15] Galvin, K.P. Dickinson, J.E. Fluidized bed desliming
in fine particle flotation Part II: Flotation of a model
feed. Chem. Eng. Sci. 2014, 108, 299–309.
[16] Galvin, K.P. Harvey, N.G. Dickinson, J.E. Fluidized
bed desliming in fine particle flotation – Part III flo-
tation of difficult to clean coal. Miner. Eng. 2014,
66–68, 94–101.
[17] Gutiérrez, L., Betancourt, F., Uribe, L., &
Maldonado, M. Influence of Seawater on the Degree
of Entrainment in the Flotation of a Synthetic Copper
Ore. Minerals 2020, 10(7), 615.
[18] Maldonado, M. Desbiens, A. del Villar, R. Potential
use of model predictive control for optimizing the
column flotation process. Int. J. Miner. Process.
2009, 93, 26–33.
[19] Neethling, S.J. Brito-Parada, P.R. Predicting flota-
tion behaviour – The interaction between froth stabil-
ity and performance. Miner. Eng. 2018, 120, 60–65.
[20] Neethling, S.J. Cilliers, J.J. Modelling flotation
froths. Int. J. Miner. Process. 2003, 72, 267–287.
[21] Neethling, S.J. Lee, H.T. Cilliers, J.J. A foam drain-
age equation generalized for all liquid contents. J.
Phys. Condens. Matter 2002,14, 331–342.
[22] Quintanilla, P. Neethling, S.J. Brito-Parada, P.R.
Modelling for froth flotation control: A review.
Miner. Eng. 2021, 162, 106718.
[23] Quintanilla, P. Neethling, S.J. Mesa, D. Navia, D.
Brito-Parada, P.R. A dynamic flotation model for pre-
dictive control incorporating froth physics. Part II:
Model calibration and validation. Miner. Eng. 2021,
173, 107190.
[24] Quintanilla, P. Neethling, S.J. Navia, D. Brito-
Parada, P.R. A dynamic flotation model for predic-
tive control incorporating froth physics. Part I: Model
development. Miner. Eng. 2021, 173, 107192.
[25] Savassi, O. N., Alexander, D. J., Franzidis, J. P., &
Manlapig, E. V. An empirical model for entrainment
in industrial flotation plants. Minerals Engineering
1998, 11(3), 243–256.
[26] Smith, P. G., &Warren, L. J. Entrainment of par-
ticles into flotation froths. Mineral Processing and
Extractive Metallurgy Review 1989, 5(1–4), 123–145
[27] Stevenson, P. Fennell, P.S. Galvin, K.P. On the drift-
flux analysis of flotation and foam fractionation pro-
cesses. Can. J. Chem. Eng. 2008, 86, 635–642.
[28] Tian, Y. Luan, X. Liu, F. Dubljevic, S. Model pre-
dictive control of mineral column flotation process.
Mathematics 2018, 6, 100
[29] Torfs, E. Maere, T. Bürger, R. Diehl, S. Nopens,
I. Impact on sludge inventory and control strategies
using the benchmark simulation model no. 1 with
the Bürger-Diehl settler model. Water Sci. Technol.
2015, 71, 1524– 1535.
[30] Vandenberghe, J. Chung, J. Xu, Z. Masliyah, J.
Drift flux modelling for a two-phase system in a flota-
tion column. Can. J. Chem. Eng. 2005, 83, 169–176.
[31] Wang, G. Ge, L. Mitra, S. Evans, G.M. Joshi, J.B.
Chen, S. A review of CFD modelling studies on the
flotation process. Miner. Eng. 2018, 127, 153–177.
[32] Wills, B.A. Napier-Munn, T.J. Wills’ Mineral
Processing Technology, 7th ed. Butterworth-
Heinemann: Oxford, UK, 2006.
[8] Bürger, R. Diehl, S. Martí, M.C. Vásquez, Y. A
degenerating convection-diffusion system modelling
froth flotation with drainage. IMA J. Appl. Math.
2022, 87, 1151–1190.
[9] Bürger, R. Diehl, S. Martí, M.C. Vásquez, Y.
Flotation with sedimentation: Steady states and
numerical simulation of transient operation. Miner.
Eng. 2020, 157, 106419.
[10] Bürger, R. Karlsen, K.H. Towers, J.D. A model of
continuous sedimentation of flocculated suspensions
in clarifier-thickener units. SIAM J. Appl. Math.
2005, 65, 882–940.
[11] Dickinson, J.E. Galvin, K.P. Fluidized bed deslim-
ing in fine particle flotation, Part I. Chem. Eng. Sci.
2014, 108, 283–298.
[12] Diehl, S. A regulator for continuous sedimentation
in ideal clarifier-thickener units. J. Eng. Math. 2008,
60, 265– 291.
[13] Diehl, S. Operating charts for continuous sedimenta-
tion I: Control of steady states. J. Eng. Math. 2001,
41, 117– 144.
[14] Diehl, S. Farås, S. Control of an ideal activated
sludge process in wastewater treatment via an ODE-
PDE model. J. Process Control 2013, 23, 359–381.
[15] Galvin, K.P. Dickinson, J.E. Fluidized bed desliming
in fine particle flotation Part II: Flotation of a model
feed. Chem. Eng. Sci. 2014, 108, 299–309.
[16] Galvin, K.P. Harvey, N.G. Dickinson, J.E. Fluidized
bed desliming in fine particle flotation – Part III flo-
tation of difficult to clean coal. Miner. Eng. 2014,
66–68, 94–101.
[17] Gutiérrez, L., Betancourt, F., Uribe, L., &
Maldonado, M. Influence of Seawater on the Degree
of Entrainment in the Flotation of a Synthetic Copper
Ore. Minerals 2020, 10(7), 615.
[18] Maldonado, M. Desbiens, A. del Villar, R. Potential
use of model predictive control for optimizing the
column flotation process. Int. J. Miner. Process.
2009, 93, 26–33.
[19] Neethling, S.J. Brito-Parada, P.R. Predicting flota-
tion behaviour – The interaction between froth stabil-
ity and performance. Miner. Eng. 2018, 120, 60–65.
[20] Neethling, S.J. Cilliers, J.J. Modelling flotation
froths. Int. J. Miner. Process. 2003, 72, 267–287.
[21] Neethling, S.J. Lee, H.T. Cilliers, J.J. A foam drain-
age equation generalized for all liquid contents. J.
Phys. Condens. Matter 2002,14, 331–342.
[22] Quintanilla, P. Neethling, S.J. Brito-Parada, P.R.
Modelling for froth flotation control: A review.
Miner. Eng. 2021, 162, 106718.
[23] Quintanilla, P. Neethling, S.J. Mesa, D. Navia, D.
Brito-Parada, P.R. A dynamic flotation model for pre-
dictive control incorporating froth physics. Part II:
Model calibration and validation. Miner. Eng. 2021,
173, 107190.
[24] Quintanilla, P. Neethling, S.J. Navia, D. Brito-
Parada, P.R. A dynamic flotation model for predic-
tive control incorporating froth physics. Part I: Model
development. Miner. Eng. 2021, 173, 107192.
[25] Savassi, O. N., Alexander, D. J., Franzidis, J. P., &
Manlapig, E. V. An empirical model for entrainment
in industrial flotation plants. Minerals Engineering
1998, 11(3), 243–256.
[26] Smith, P. G., &Warren, L. J. Entrainment of par-
ticles into flotation froths. Mineral Processing and
Extractive Metallurgy Review 1989, 5(1–4), 123–145
[27] Stevenson, P. Fennell, P.S. Galvin, K.P. On the drift-
flux analysis of flotation and foam fractionation pro-
cesses. Can. J. Chem. Eng. 2008, 86, 635–642.
[28] Tian, Y. Luan, X. Liu, F. Dubljevic, S. Model pre-
dictive control of mineral column flotation process.
Mathematics 2018, 6, 100
[29] Torfs, E. Maere, T. Bürger, R. Diehl, S. Nopens,
I. Impact on sludge inventory and control strategies
using the benchmark simulation model no. 1 with
the Bürger-Diehl settler model. Water Sci. Technol.
2015, 71, 1524– 1535.
[30] Vandenberghe, J. Chung, J. Xu, Z. Masliyah, J.
Drift flux modelling for a two-phase system in a flota-
tion column. Can. J. Chem. Eng. 2005, 83, 169–176.
[31] Wang, G. Ge, L. Mitra, S. Evans, G.M. Joshi, J.B.
Chen, S. A review of CFD modelling studies on the
flotation process. Miner. Eng. 2018, 127, 153–177.
[32] Wills, B.A. Napier-Munn, T.J. Wills’ Mineral
Processing Technology, 7th ed. Butterworth-
Heinemann: Oxford, UK, 2006.