XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3 2747
H2020-MSCA-ITN-2020 under grant agreement No.
955805. The authors also gratefully acknowledge the com-
puting time provided to them at the Center for Information
Services and HPC (ZIH) at TU Dresden and at the NHR
Center NHR4CES at RWTH Aachen University (project
number p0020495). This is funded by the Federal Ministry
of Education and Research, and the state governments par-
ticipating on the basis of the resolutions of the GWK for
national high performance computing at universities.
REFERENCES
Abrahamson, J. 1975. Collision rates of small particles
in a vigorously turbulent fluid. Chemical Engineering
Science 30(1):1371–1379.
Chan, T.K., Ng, C.S. &Krug, D. 2023. Bubble–particle
collisions in turbulence: insights from point-particle
simulations. Journal of Fluid Mechanics A6:959.
Chouippe, A. &Uhlmann, M. 2015. Forcing homoge-
neous turbulence in direct numerical simulation of
particulate flow with interface resolution and gravity.
Physics of Fluids 27(12):123301.
Clift, R.R., Grace, J.R. &Weber, M.E. 1978. Bubbles,
drops, and particles. Academic Press.
Dai, Z., Fornasiero, D. &Ralston, J. 2000. Particle-bubble
collision models—a review. Advances in Colloid and
Interface Science 85(2–3):231–256.
Eswaran, V. &Pope, S.B., 1988. An examination of forc-
ing in direct numerical simulations of turbulence.
Computers and Fluids, 16(3), pp. 257–278.
Fabre, J., Suzanne, C. &Masbernat, L. 1987. Experimental
Data Set No. 7: Stratified Flow, Part I: Local Structure.
Multiphase Science and Technology 3:285–301.
Fayed, H.E. &Ragab, S.A. 2013. Direct Numerical
Simulation of Particles-Bubbles Collisions Kernel in
Homogeneous Isotropic Turbulence. The Journal of
Computational Multiphase Flows, 5(3):167–188.
Hadler, K. &Cilliers, J.J. 2019. The Effect of Particles on
Surface Tension and Flotation Froth Stability. Mining,
Metallurgy &Exploration 36(1):63–69.
Hassanzadeh, A., Firouzi, M., Albijanic, B. &Celik, M.S.
2018. A review on determination of particle–bubble
encounter using analytical, experimental and numeri-
cal methods. Minerals Engineering 122:296–311.
Heitkam, S., Schwarz, S., Santarelli, C. &Fröhlich, J.
2013. Influence of an electromagnetic field on the
formation of wet metal foam. The European Physical
Journal Special Topics, 220(1):207–214.
Hu, G. &Celik, I. 2008. Eulerian–Lagrangian based large-
eddy simulation of a partially aerated flat bubble col-
umn. Chemical Engineering Science 63(1):253–271.
Kempe, T. &Fröhlich, J. 2012. Collision modelling for the
interface-resolved simulation of spherical particles in
viscous fluids. Journal of Fluid Mechanics 709:445–489.
Kostoglou, M., Karapantsios, T.D. &Oikonomidou, O.
2020. A critical review on turbulent collision fre-
quency/efficiency models in flotation: Unravelling the
path from general coagulation to flotation. Advances in
Colloid and Interface Science, 279:102158.
Kostoglou, M., Karapantsios, T.D. &Evgenidis, S. 2020.
On a generalized framework for turbulent collision
frequency models in flotation: The road from past
inconsistencies to a concise algebraic expression for
fine particles. Advances in Colloid and Interface Science
284:102270.
Lee, C., Erickson, L. &Glasgow, L. 1987. Dynamics of
bubble size distribution in turbulent gas-liquid dis-
persions. Chemical Engineering Communications
61(1):181–195.
Maxey, M.R. 1987. The gravitational settling of aerosol
particles in homogeneous turbulence and random flow
fields. Journal of Fluid Mechanics 174:441–465.
Maxey, M.R. &Riley, J.J. 1983. Equation of motion for a
small rigid sphere in a nonuniform flow. The Physics of
Fluids, 26(4):883–889.
Mesa, D., Morrison, A.J. &Brito-Parada, P.R. 2020.
The effect of impeller-stator design on bubble size:
Implications for froth stability and flotation perfor-
mance. Minerals Engineering 157:106533.
Meyer, C.J. &Deglon, D.A. 2011. Particle collision mod-
eling—A review. Minerals Engineering 24(8):719–730.
Ngo-Cong, D., Nguyen, A.V. &Tran-Cong, T. 2018.
Isotropic turbulence surpasses gravity in affecting bub-
ble-particle collision interaction in flotation. Minerals
Engineering 122:165–175.
Nguyen, A.V. &Schulze, H.J. eds. 2004. In Colloidal
Science of Flotation CRC Press.
Norori-McCormac, A. et al. 2017. The effect of particle size
distribution on froth stability in flotation. Separation
and Purification Technology 184:240–247.
Ostadrahimi, M., Farrokhpay, S., Gharibi, K. &Dehghani,
A. 2020. A new empirical model to calculate bubble
size in froth flotation columns. Colloids and Surfaces A:
Physicochemical and Engineering Aspects 594:124672.
Ran, J.-C.et al. 2019. Effects of particle size on flotation
performance in the separation of copper, gold and lead.
Powder Technology 344:654–664.
Rashidi, M. &Banerjee, S. 1990. The effect of bound-
ary conditions and shear rate on streak formation and
breakdown in turbulent channel flows. Physics of Fluids
2(10).
H2020-MSCA-ITN-2020 under grant agreement No.
955805. The authors also gratefully acknowledge the com-
puting time provided to them at the Center for Information
Services and HPC (ZIH) at TU Dresden and at the NHR
Center NHR4CES at RWTH Aachen University (project
number p0020495). This is funded by the Federal Ministry
of Education and Research, and the state governments par-
ticipating on the basis of the resolutions of the GWK for
national high performance computing at universities.
REFERENCES
Abrahamson, J. 1975. Collision rates of small particles
in a vigorously turbulent fluid. Chemical Engineering
Science 30(1):1371–1379.
Chan, T.K., Ng, C.S. &Krug, D. 2023. Bubble–particle
collisions in turbulence: insights from point-particle
simulations. Journal of Fluid Mechanics A6:959.
Chouippe, A. &Uhlmann, M. 2015. Forcing homoge-
neous turbulence in direct numerical simulation of
particulate flow with interface resolution and gravity.
Physics of Fluids 27(12):123301.
Clift, R.R., Grace, J.R. &Weber, M.E. 1978. Bubbles,
drops, and particles. Academic Press.
Dai, Z., Fornasiero, D. &Ralston, J. 2000. Particle-bubble
collision models—a review. Advances in Colloid and
Interface Science 85(2–3):231–256.
Eswaran, V. &Pope, S.B., 1988. An examination of forc-
ing in direct numerical simulations of turbulence.
Computers and Fluids, 16(3), pp. 257–278.
Fabre, J., Suzanne, C. &Masbernat, L. 1987. Experimental
Data Set No. 7: Stratified Flow, Part I: Local Structure.
Multiphase Science and Technology 3:285–301.
Fayed, H.E. &Ragab, S.A. 2013. Direct Numerical
Simulation of Particles-Bubbles Collisions Kernel in
Homogeneous Isotropic Turbulence. The Journal of
Computational Multiphase Flows, 5(3):167–188.
Hadler, K. &Cilliers, J.J. 2019. The Effect of Particles on
Surface Tension and Flotation Froth Stability. Mining,
Metallurgy &Exploration 36(1):63–69.
Hassanzadeh, A., Firouzi, M., Albijanic, B. &Celik, M.S.
2018. A review on determination of particle–bubble
encounter using analytical, experimental and numeri-
cal methods. Minerals Engineering 122:296–311.
Heitkam, S., Schwarz, S., Santarelli, C. &Fröhlich, J.
2013. Influence of an electromagnetic field on the
formation of wet metal foam. The European Physical
Journal Special Topics, 220(1):207–214.
Hu, G. &Celik, I. 2008. Eulerian–Lagrangian based large-
eddy simulation of a partially aerated flat bubble col-
umn. Chemical Engineering Science 63(1):253–271.
Kempe, T. &Fröhlich, J. 2012. Collision modelling for the
interface-resolved simulation of spherical particles in
viscous fluids. Journal of Fluid Mechanics 709:445–489.
Kostoglou, M., Karapantsios, T.D. &Oikonomidou, O.
2020. A critical review on turbulent collision fre-
quency/efficiency models in flotation: Unravelling the
path from general coagulation to flotation. Advances in
Colloid and Interface Science, 279:102158.
Kostoglou, M., Karapantsios, T.D. &Evgenidis, S. 2020.
On a generalized framework for turbulent collision
frequency models in flotation: The road from past
inconsistencies to a concise algebraic expression for
fine particles. Advances in Colloid and Interface Science
284:102270.
Lee, C., Erickson, L. &Glasgow, L. 1987. Dynamics of
bubble size distribution in turbulent gas-liquid dis-
persions. Chemical Engineering Communications
61(1):181–195.
Maxey, M.R. 1987. The gravitational settling of aerosol
particles in homogeneous turbulence and random flow
fields. Journal of Fluid Mechanics 174:441–465.
Maxey, M.R. &Riley, J.J. 1983. Equation of motion for a
small rigid sphere in a nonuniform flow. The Physics of
Fluids, 26(4):883–889.
Mesa, D., Morrison, A.J. &Brito-Parada, P.R. 2020.
The effect of impeller-stator design on bubble size:
Implications for froth stability and flotation perfor-
mance. Minerals Engineering 157:106533.
Meyer, C.J. &Deglon, D.A. 2011. Particle collision mod-
eling—A review. Minerals Engineering 24(8):719–730.
Ngo-Cong, D., Nguyen, A.V. &Tran-Cong, T. 2018.
Isotropic turbulence surpasses gravity in affecting bub-
ble-particle collision interaction in flotation. Minerals
Engineering 122:165–175.
Nguyen, A.V. &Schulze, H.J. eds. 2004. In Colloidal
Science of Flotation CRC Press.
Norori-McCormac, A. et al. 2017. The effect of particle size
distribution on froth stability in flotation. Separation
and Purification Technology 184:240–247.
Ostadrahimi, M., Farrokhpay, S., Gharibi, K. &Dehghani,
A. 2020. A new empirical model to calculate bubble
size in froth flotation columns. Colloids and Surfaces A:
Physicochemical and Engineering Aspects 594:124672.
Ran, J.-C.et al. 2019. Effects of particle size on flotation
performance in the separation of copper, gold and lead.
Powder Technology 344:654–664.
Rashidi, M. &Banerjee, S. 1990. The effect of bound-
ary conditions and shear rate on streak formation and
breakdown in turbulent channel flows. Physics of Fluids
2(10).