An approach to quantify the true flotation recovery of floatable minerals using natural entrainment tracers and particle-based separation modeling

Ali Hassan , Martin Rudolph , Luis Vinnett , Kerstin Eckert , Lucas Pereira

Int J Min Sci Technol ›› 2025, Vol. 35 ›› Issue (8) : 1233 -1244.

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Int J Min Sci Technol ›› 2025, Vol. 35 ›› Issue (8) :1233 -1244. DOI: 10.1016/j.ijmst.2025.06.012
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An approach to quantify the true flotation recovery of floatable minerals using natural entrainment tracers and particle-based separation modeling
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Abstract

In froth flotation, overall recovery of the floatable particles consists of true recovery and recovery by entrainment, where entrainment refers to the non-selective recovery of particles in the concentrate. To understand and optimize the flotation process with regard to process conditions, it is essential to distinguish true flotation recovery from overall recovery. The established methods rely on tailored flotation experiments, unrealistic flotation conditions, or using external tracers which can be different in density and crystal structure to the mineral(s) of interest. This study presents an approach to utilize naturally occuring suitable tracers to estimate the entrainment component from overall recovery of individual particles by establishing a relationship between their settling velocity coefficient and recovery probability. Recovery probabilities of individual particles are computed using particle-based separation modelling. The approach is demonstrated for a copper ore, where naturally occurring rutile was used as the tracer to determine the entrained component of the overall recovery of chalcopyrite particles. Laboratory flotation experiments revealed that entrainment accounted for up to 6% of the overall recovery probability of fully liberated chalcopyrite particles in the fine size fractions. This approach provides a practical method for entrainment correction enabling a more accurate evaluation of true flotation recovery.

Keywords

Entrainment / Particle-based separation / Modeling / Froth flotation / Particle characteristics

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Ali Hassan, Martin Rudolph, Luis Vinnett, Kerstin Eckert, Lucas Pereira. An approach to quantify the true flotation recovery of floatable minerals using natural entrainment tracers and particle-based separation modeling. Int J Min Sci Technol, 2025, 35(8): 1233-1244 DOI:10.1016/j.ijmst.2025.06.012

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Acknowledgements

This project has received funding from the European Union’s Horizon 2020 Marie Sklodowska-Curie Actions (MSCA), Innovative Training Networks (ITN), H2020-MSCA-ITN-2020 grant agreement (No. 955805). Therefore, the authors would like to thank the Euro-pean Taxpayer. We would also like to thank Mr. Marcel Gurdziel and Dr. Bradley Guy for their contributions to the project with experimental and analytical work support.

Supplementary material

Supplementary data to this article can be found online at https://doi.org/10.1016/j.ijmst.2025.06.012.

References

[1]

El-Bahi A, Taha Y, Ait-Khouia Y, Elghali A, Benzaazoua M. Enhancing sustainability in phosphate ore processing: Performance of frying oil as alternative flotation collector for carbonate removal. Int J Min Sci Technol 2024; 34(4):557-71.

[2]

Smith PG, Warren LJ. Entrainment of particles into flotation froths. Miner Process Extr Met Rev 1989; 5(1-4):123-45.

[3]

Kirjavainen VM. Review and analysis of factors controlling the mechanical flotation of gangue minerals. Int J Miner Process 1996; 46(1-2):21-34.

[4]

Wang L, Peng Y, Runge K, Bradshaw D. A review of entrainment: Mechanisms, contributing factors and modelling in flotation. Miner Eng 2015; 70:77-91.

[5]

Wang C, Sun CB, Liu Q. Entrainment of gangue minerals in froth flotation: Mechanisms, models, controlling factors, and abatement techniques—A review. Min Metall Explor 2021; 38(2):673-92.

[6]

Hemmings CE. On the significance of flotation froth liquid lamella thickness. Inst Min Metal Trans 1981;90.

[7]

Yianatos JB, Finch JA, Laplante AR. Selectivity in column flotation froths. Int J Miner Process 1988; 23(3-4):279-92.

[8]

Laplante AR, Kaya M, Smith HW. The effect of froth on flotation kinetics: A mass transfer approach. Miner Process Extr Met Rev 1989; 5(1-4):147-68.

[9]

Yianatos J, Contreras F. Particle entrainment model for industrial flotation cells. Powder Technol 2010; 197(3):260-7.

[10]

Warren LJ. Determination of the contributions of true flotation and entrainment in batch flotation tests. Int J Miner Process 1985; 14(1):33-44.

[11]

Ross VE. Determination of the contributions by true flotation and entrainment during the flotation process. In: Proceedings of the International Colloquium:Developments in Froth Flotation. Gordon’s Bay: South African Institute of Mining and Metallurgy; 1989.

[12]

Trahar WJ. A rational interpretation of the role of particle size in flotation. Int J Miner Process 1981; 8(4):289-327.

[13]

Savassi ON, Alexander DJ, Franzidis JP, Manlapig EV. An empirical model for entrainment in industrial flotation plants. Miner Eng 1998; 11(3):243-56.

[14]

Maachar A, Dobby GS. Measurement of feed water recovery and entrainment solids recovery in flotation columns. Can Metall Q 1992; 31(3):167-72.

[15]

Wang L, Runge K, Peng Y, Vos C. An empirical model for the degree of entrainment in froth flotation based on particle size and density. Miner Eng 2016; 98:187-93.

[16]

Yang B, Yin WZ, Zhu ZL, Wang DH, Han HL, Fu YF, Sun HR, Chu FD, Yao J. A new model for the degree of entrainment in froth flotation based on mineral particle characteristics. Powder Technol 2019; 354:358-68.

[17]

George P, Nguyen AV, Jameson GJ. Assessment of true flotation and entrainment in the flotation of submicron particles by fine bubbles. Miner Eng 2004; 17(7-8):847-53.

[18]

Norori-McCormac A, Brito-Parada PR, Hadler K, Cole K, Cilliers JJ. The effect of particle size distribution on froth stability in flotation. Sep Purif Technol 2017; 184:240-7.

[19]

Ross VE. Flotation and entrainment of particles during batch flotation tests. Miner Eng 1990; 3(3-4):245-56.

[20]

Wiese J, Becker M, Yorath G, O’Connor C. An investigation into the relationship between particle shape and entrainment. Miner Eng 2015; 83:211-6.

[21]

Little L, Wiese J, Becker M, Mainza A, Ross V. Investigating the effects of particle shape on chromite entrainment at a platinum concentrator. Miner Eng 2016; 96:46-52.

[22]

Pereira L, Frenzel M, Khodadadzadeh M, Tolosana-Delgado R, Gutzmer J. A self-adaptive particle-tracking method for minerals processing. J Clean Prod 2021; 279:123711.

[23]

Pereira L, Frenzel M, Buchmann M, Kern M, Tolosana-Delgado R, Boogaart KGvd, Gutzmer J. Testing the robustness of particle-based separation models for the magnetic separation of a complex skarn ore. Int J Min. Sci Technol 2022; 32(3):645-55.

[24]

Lamb H. Hydrodynamics. Cambridge: Cambridge University Press; 1906.

[25]

Gaudin AM. Principles of mineral dressing. New York: McGraw-Hill Book Comp; 1939.

[26]

Yu D, Liu EL, Xiang B, He YY, Luo F, He C. A micro-macro constitutive model for rock considering breakage effects. Cambridge 2023; 33(2):173-84.

[27]

Hicks CR. Fundamental concepts in the design of experiments. New York: Holt, Rinehart and Winston; 1964.

[28]

van den Boogaart KG, Tolosana-Delgado R. Analyzing compositional data with R. Berling: Springer; 2013.

[29]

Pereira L, Kupka N, Hoang DH, Michaux B, Saquran S, Ebert D, Rudolph M. On the impact of grinding conditions in the flotation of semi-soluble salt-type mineral-containing ores driven by surface or particle geometry effects? Int J Min Sci Technol 2023; 33(7):855-72.

[30]

Kubo T, Orita H, Nozoye H. Surface structures of rutile TiO2 (011). J Am Chem Soc J 2007; 129(34):10474-8.

[31]

Burdick CL, Ellis JH. The crystal structure of chalcopyrite determined by X rays. PNAS 1917; 3(11):644-9.

[32]

Robert JF, Hanchar JM. Structure and chemistry of zircon and zircon-group minerals. Rev Mineral Geochem 2003; 53(1):1-25.

[33]

Wang D, Liu Q. Hydrodynamics of froth flotation and its effects on fine and ultrafine mineral particle flotation: A literature review. Miner Eng 2021; 173:107220.

[34]

Wang L, Peng Y, Runge K. Entrainment in froth flotation: The degree of entrainment and its contributing factors. Powder Technol 2016; 288:202-11.

[35]

Schubert H. On the optimization of hydrodynamics in fine particle flotation. Miner Eng 2008; 21(12-14):930-6.

[36]

Amini E, Bradshaw DJ, Finch JA, Brennan M. Influence of turbulence kinetic energy on bubble size in different scale flotation cells. Miner Eng 2013; 45:146-50.

[37]

Tabosa E, Runge K, Holtham P. The effect of cell hydrodynamics on flotation performance. Int J Miner Process 2016; 156:99-107.

[38]

Li M, Xing YW, Zhu CY, Liu QS, Yang ZL, Zhang R, Zhang YF, Xia YC, Gui XH. Effect of roughness on wettability and floatability: Based on wetting film drainage between bubbles and solid surfaces. Int J Min Sci Technol 2022; 32 (6):1389-96.

[39]

Drzymala J. Characterization of materials by Hallimond tube flotation. Part 1: Maximum size of entrained particles. Int J Miner Process 1994; 42(3-4):139-52.

[40]

Chen JR, Peng YJ. Understanding the effects of hydrophobic particle densities on bubble-liquid motion and gangue entrainment in the RFC’s reverse fluidized bed through CFD simulation. Miner Process Extr Met Rev 2025; 46 (3):338-50.

[41]

Taner HA, Onen V. Mechanism of mechanical entrainment in chalcopyrite flotation: Effects of clay minerals. Min Metall Explor 2023; 41(1):311-9.

[42]

Brigatti MF, Frigieri P, Ghezzo C, Poppi L. Crystal chemistry of Al-rich biotites coexisting with muscovites in peraluminous granites. Am Mineral 2000; 85(3- 4):436-48.

[43]

Broekmans MATM. Structural properties of quartz and their potential role for ASR. Mater Charact 2004; 53(2-4):129-40.

[44]

Kekec B, Unal M, Sensogut C. Effect of the textural properties of rocks on their crushing and grinding features. J Univ Sci Technol Beijing Miner Metall Mater 2006; 13(5):385-92.

[45]

Gabitto J, Tsouris C. Drag coefficient and settling velocity for particles of cylindrical shape. Powder Technol 2008; 183(2):314-22.

[46]

Pervez H, Hassan A, Sommer AE, Zürner T, Pereira L, Rudolph M, Maaß S, Bowden J, Eckert K. A multi-sensor approach to measuring hydrodynamic parameters in a pyrite-quartz flotation system. Miner Eng 2024; 216:108877.

[47]

Zürner T, Kamble V, Rzehak R, Eckert K. Experimental and numerical investigation of turbulent multiphase jets. Miner Eng 2024; 211:108699.

[48]

Sarhan AR, Naser J, Brooks G. CFD model simulation of bubble surface area flux in flotation column reactor in presence of minerals. Int J Min Sci Technol 2018; 28(6):999-1007.

[49]

Tiedemann B, Fröhlich J. Direct numerical simulation of collision events in flotation under the influence of gravity. Int J Multiph Flow 2025; 188:105204.

[50]

Boelens P, Pereira L, Tumakov K, da Assuncao Godinho JR, da Silva Tochtrop CG, Gupta S, Guy BM, Tolosana-Delgado R, Möckel R, Leißner T, Löwer E, Illing D, Renno AD, Ott L, Ellinger F, Rudolph M, Gutzmer J. A workflow to assess the recoverability of secondary raw materials via physical separation. Waste Manag 2025; 193:561-70.

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