A review of bubble surface loading and its effect on bubble dynamics

Minerals Engineering - Tập 199 - Trang 108105 - 2023
Ai Wang1, Geoffrey Evans1, Subhasish Mitra1
1ARC Centre of Excellence for enabling ecoefficient beneficiation of minerals, School of Engineering, University of Newcastle, Callaghan 2308, NSW, Australia

Tài liệu tham khảo

Ang, 2013, Influence of frothers on the detachment of galena particles from bubbles, Int. J. Miner. Process., 121, 59, 10.1016/j.minpro.2013.02.003 Ata, 2008, Coalescence of bubbles covered by particles, Langmuir, 24, 6081, 10.1021/la800466x Ata, 2009, The detachment of particles from coalescing bubble pairs, J. Colloid Interface Sci., 338, 558, 10.1016/j.jcis.2009.07.003 Ata, 2003, A study of bubble coalescence in flotation froths, Int. J. Miner. Process., 72, 255, 10.1016/S0301-7516(03)00103-0 Behrens, 2020, Oil-coated bubbles in particle suspensions, capillary foams, and related opportunities in colloidal multiphase systems, Curr. Opin. Colloid Interface Sci., 50, 10.1016/j.cocis.2020.08.009 Bhondayi, 2011, Determination of sampling pipe (riser) diameter for a flotation bubble load measuring device, Miner. Eng., 24, 1664, 10.1016/j.mineng.2011.09.003 Binks, 2002, Particles as surfactant - similarities and differences, Curr. Opin. Colloid Interface Sci., 7, 21, 10.1016/S1359-0294(02)00008-0 Bloom, 2003, Modeling flotation separation in a semi-batch, Chem. Eng. Sci., 58, 353, 10.1016/S0009-2509(02)00525-0 Bournival, 2012, Examination of NaCl and MIBC as bubble coalescence inhibitor in relation to froth flotation, Miner. Eng., 25, 47, 10.1016/j.mineng.2011.10.008 Bournival, 2014, An investigation of bubble coalescence and post-rupture oscillation in non-ionic surfactant solutions using highspeed cinematography, J. Colloid. Interface Sci., 414, 50, 10.1016/j.jcis.2013.09.050 Bournival, 2015, The roles of particles in multiphase processes: particles on bubble surfaces, Adv. Colloid Interface Sci., 225, 114, 10.1016/j.cis.2015.08.008 Bournival, 2015, Effect of alcohol frothing agents on the coalescence of bubbles coated with hydrophobized silica particles, Chem. Eng. Sci., 131, 1, 10.1016/j.ces.2015.03.036 Bournival, 2021, The interaction of a bubble with a particle-laden interface in frother solutions, Colloids Surf. A Physicochem. Eng. Asp., 621, 10.1016/j.colsurfa.2021.126609 Bradshaw, 1996, Measurement of the sub-process of bubble loading in flotation, Miner. Eng., 9, 443, 10.1016/0892-6875(96)00029-5 Chattoraj, 1984, 101 Chegeni, 2016, Bubble loading measurement in a continuous flotation column, Miner. Eng., 85, 49, 10.1016/j.mineng.2015.08.010 Chen, 2023, The effect of a single loaded-particle on bubble pinch-off dynamics in various liquids, Chem. Eng. Sci., 266, 10.1016/j.ces.2022.118239 Chen, 2019, Numerical study of bubble rising and coalescence characteristics under flow pulsation based on particle method, Sci. Technol. Nucl., 2019, 1 Chipili, 2021, The role of the pulp-froth interface on particle detachment and selectivity, Adv. Colloid Interface Sci., 287, 10.1016/j.cis.2020.102296 Clift, 1978 Deyranlou, 2012, The study of bubble coalescence in coaxial and sidebyside motions Dickinson, 2004, Factors controlling the formation and stability of air bubbles stabilized by partially hydrophobic silica nanoparticles, Langmuir, 20, 8517, 10.1021/la048913k Dobby, 1987, Particle size dependence in flotation derived from a fundamental model of the capture process, Int. J. Miner. Process., 21, 241, 10.1016/0301-7516(87)90057-3 Duineveld, 1997, Bouncing and coalescence of bubble pairs rising at high reynolds number in pure water or aqueous surfactant solutions, Appl. Sci. Res., 58, 409, 10.1023/A:1000825909824 Dyer, 1995 Eftekhari, 2021, Interfacial behavior of particle-laden bubbles under asymmetric shear flow, Langmuir, 37, 13244, 10.1021/acs.langmuir.1c01814 Eskanlou, 2018, Investigation of trajectory and rise velocity of loaded and bare single bubbles in flotation process using video processing technique, Sep. Purif. Technol., 54, 1795 Eskanlou, 2018, Bubble loading profiles in a flotation column, Physicochem. Probl. Miner. Process., 54, 355 Eskanlou, 2018, Interactional effects of bubble size, particle size, and collector dosage on bubble loading in column flotation, J. Mining Environ., 9, 107 Eskanlou, 2019, Modeling the bubble loading based on force balance on the particles attached to the bubble, Colloids Surfaces A, 582, 10.1016/j.colsurfa.2019.123892 Eskanlou, 2020, Determination of the mass transfer rate constant in a laboratory column flotation using the bubble active surface coefficient, Miner. Eng., 156, 10.1016/j.mineng.2020.106521 Falutsu, 1994, Column flotation froth characteristics — stability of the bubble–particle system, Int. J. Miner. Process., 40, 225, 10.1016/0301-7516(94)90045-0 Falutsu, 1992, Froth performance in commercial sized flotation columns, Miner. Eng., 5, 1207, 10.1016/0892-6875(92)90160-B Fan, 1990 Feng, 2016, Coalescence and conjunction of two in-line bubbles at low Reynolds numbers, Chem. Eng. Sci., 141, 261, 10.1016/j.ces.2015.11.014 Feng, 2016, Dynamics of a bubble bouncing at a liquid/liquid/gas interface, J. Fluid Mech., 807, 324, 10.1017/jfm.2016.517 Finch, 1990 Gallegos-Acevedo, 2006, Maximum bubble loads: experimental measurement vs. analytical estimation, Miner. Eng., 19, 12, 10.1016/j.mineng.2005.04.002 Ganesan, 2017, Coalescence and rising behavior of co-axial and lateral bubbles in viscous fluid: a CFD study, Asia-Pac. J. Chem. Eng., 12, 605, 10.1002/apj.2102 Ghosh, 2004, Coalescence of air bubbles at air-water interface, Chem. Eng. Res. Des., 82, 849, 10.1205/0263876041596715 Goel, 2012, Detachment of particles from bubbles in an agitated vessel, Miner. Eng., 36–38, 324, 10.1016/j.mineng.2012.08.001 Hasan, N., Zakaria, Z.b., 2011. Computational approach for a pair of bubble coalescence process. Int. J. Heat Fluid Flow, 32(3), 755-761. https://doi.org/10.1016/j.ijheatfluidflow.2011.02.004. Hassas, 2021, The significance of positive and negative inertial forces in Particle-Bubble interaction and their role in the general flotation kinetics model, Miner. Eng., 170 Heiskanen, 2013 Huang, 2011, A new experimental method for determining particle capture efficiency in flotation, Chem. Eng. Sci., 66, 982, 10.1016/j.ces.2010.12.006 Huang, 2019, Evaluation of frother types for improved flotation recovery and selectivity, Minerals, 9, 590, 10.3390/min9100590 Ireland, 2014, Collision of a rising bubble–particle aggregate with a gas–liquid interface, Int. J. Miner. Process., 130, 1, 10.1016/j.minpro.2014.05.002 Jameson, 1977, Physical factors affecting recovery rates in flotation, Miner. Sci. Eng., 9, 103 Kara, 1982, Hydrodynamics and axial mixing in a three-ph bble column, Ind. Eng. Chem. Process Des. Dev., 21, 584, 10.1021/i200019a009 Katz, 1996, Wake induced relative motion for bubble in line, Int. J. Multiphase Flow, 22, 239, 10.1016/0301-9322(95)00081-X King, 1974, Bubble loading during flotation, Trans. Inst. Mining Metall., 83, 112 Koh, 2007, CFD model of a self-aerating flotation cell, Int. J. Miner. Process., 85, 16, 10.1016/j.minpro.2007.08.006 Koh, 2008, Modelling attachment rates of multi-sized bubbles with particles in a flotation cell, Miner. Eng., 21, 989, 10.1016/j.mineng.2008.02.021 Krasowska, 2007, Kinetics of bubble collision and attachment to hydrophobic solids: I. effect of surface roughness, Int. J. Miner. Process., 81, 205, 10.1016/j.minpro.2006.05.003 Krzan, 2003, Pulsation and bouncing of a bubble prior to rupture and/or foam film formation, Langmuir, 19, 6586, 10.1021/la020919r Lee, 1969, New bubble pick-up technique as a rapid flotation test method, J. S. Afr. Inst. Mining Met., 77 Liao, 2010, A literature review on mechanisms and models for the coalescence process of fluid particles, Chem. Eng. Sci., 65, 2851, 10.1016/j.ces.2010.02.020 Liu, 2018, CFD-VOF-DPM simulations of bubble rising and coalescence in low hold-up particle-liquid suspension systems, Powder Technol., 339, 459, 10.1016/j.powtec.2018.08.041 Madivala, 2009, Exploiting particle shape in solid stabilized emulsions, Soft Matter, 5, 1717, 10.1039/b816680c Maruishi, 2022, Effect of bubble deformation on the coalescence of two ascending bubbles in a viscous liquid, Phys. Fluids, 34, 043302, 10.1063/5.0082506 Mei, 1994, A note on the history force on a spherical bubble at finite Reynolds number, Phys. Fluids, 6, 418, 10.1063/1.868039 Minnaert, 1993, On musical air bubbles and the sounds of running water, Philosop. Magaz., 16, 235 Mitra, 2021, Direct visualisation of bubble-particle interactions in presence of cavitation bubbles in an ultrasonic flotation cell, Miner. Eng., 174, 10.1016/j.mineng.2021.107258 Moys, 2010, Measurement of particle loading on bubbles in the flotation process, Miner. Eng., 23, 131, 10.1016/j.mineng.2009.11.004 Narsimhan, 2016, Drainage of particle stabilized foam film, Colloids Surf. A: Physicochem. Eng. Asp., 495, 20, 10.1016/j.colsurfa.2016.01.044 Ngo-Cong, 2018, Isotropic turbulence surpasses gravity in affecting bubble-particle collision interaction in flotation, Miner. Eng., 122, 165, 10.1016/j.mineng.2018.03.033 Nguyen, 2004, Movement of fine particles on an air bubble surface studied using high-speed video microscopy, J. Colloid Interface Sci., 273, 271, 10.1016/j.jcis.2003.12.066 Nguyen, 2004 Omota, 2006, Adhesion of solid particles to gas bubbles. part 1: modelling, Chem. Eng. Sci., 61, 823, 10.1016/j.ces.2005.07.005 Omota, 2006, Adhesion of solid particles to gas bubbles. part 2: experimental, Chem. Eng. Sci., 61, 835, 10.1016/j.ces.2005.05.048 Ostadrahimi, 2019, Estimating bubble loading in industrial flotation cells, Minerals, 9, 222, 10.3390/min9040222 Prakash, 2019, Particle-laden bubble size and its distribution in microstructured bubbling bed in the presence and absence of a surface active agent, Ind. Eng. Chem. Res., 58, 3499, 10.1021/acs.iecr.8b05625 Prithvi, 2020, On path oscillation of a particle-laden bubble in stationary liquid, Trans. Indian Inst. Met., 73, 2061, 10.1007/s12666-020-01966-0 Rahman, 2013, Froth recovery measurements in an industrial flotation cell, Miner. Eng., 53, 193, 10.1016/j.mineng.2013.08.003 Reynaert, 2007, Interfacial rheology of stable and weakly aggregated two-dimensional suspensions, Phys. Chem. Chem. Phys., 9, 6463, 10.1039/b710825g Sadhal, 1983, Stokes flow past bubbles and drops partially coated with thin films, J. Fluid Mech., 126, 237, 10.1017/S0022112083000130 Sanada, 2009, Motion and coalescence of a pair of bubbles rising side by side, Chem. Eng. Sci., 64, 2659, 10.1016/j.ces.2009.02.042 Sarhan, 2016, CFD simulation on influence of suspended solid particles on bubbles' coalescence rate in flotation cell, Int. J. Miner. Process., 146, 54, 10.1016/j.minpro.2015.11.014 Sarhan, 2018, Effects of particle size and concentration on bubble coalescence and froth formation in a slurry bubble column, Particuology, 36, 82, 10.1016/j.partic.2017.04.011 Sarkar, M.S.K.A., Donne, S.W., Evans, G.M., 2011. Utilization of hydrogen in electroflotation of silica. Adv. Powder Technol., 22(4), 482-492. https://doi.org/10.1016/j.apt.2011.05.007. Schiller, 1935, A drag coefficient correlation, V.D.I Zeitung, 77, 318 Schulze, 1984 Schwarz, 2022, Investigation of the gas-liquid-particle multi-phase hydrodynamics of Wemco flotation cells, Miner. Eng., 179, 10.1016/j.mineng.2021.107388 Seaman, 2004, Bubble load measurement in the pulp zone of industrial flotation machines—a new device for determining the froth recovery of attached particles, Int. J. Miner. Process., 74, 1, 10.1016/j.minpro.2004.04.001 Spencer, 2012, An acoustic technique for measurement of bubble solids mass loading: (b) Monitoring of Jameson cell flotation performance by passive acoustic emissions, Miner. Eng., 36–38, 21, 10.1016/j.mineng.2012.02.011 Stamou, 2000, Long-range attraction between colloidal spheres at the air–water interface: the consequence of an irregular meniscus, Phys. Rev E., 62, 5263, 10.1103/PhysRevE.62.5263 Stokes, 1851, On the effect of internal friction of fluids on the motion of pendulums, Trans. Cambridge Philos. Soc., 9, 8 Suñol, 2010, Rise, bouncing and coalescence of bubbles impacting at a free surface, Colloids Surf. A Physicochem. Eng. Asp., 365, 36, 10.1016/j.colsurfa.2010.01.032 Tan, 2013, Direct observation of individual particle armored bubble interaction, stability, and coalescence dynamics, J. Phys. Chem. B, 117, 8579, 10.1021/jp402052f Tomiyama, 2002, Terminal velocity of single bubbles in surface tension force dominant regime, Int. J. Multiph. Flow, 28, 1497, 10.1016/S0301-9322(02)00032-0 Tsao, 1997, Observations of high Reynolds number bubbles interacting with a rigid wall, Phys. Fluids, 9, 44, 10.1063/1.869168 Uribe-Salas, 2003, Overloading of gas bubbles in column flotation of coarse particles and effect upon recovery, Int. J. Miner. Process., 71, 167, 10.1016/S0301-7516(03)00036-X Vakarelski, 2019, Mobilesurface bubbles and droplets coalesce faster but bounce stronger, Sci. Adv., 5, eaaw4292, 10.1126/sciadv.aaw4292 Vella, 2004, Elasticity of an interfacial particle raft, Europhys. Lett., 68, 212, 10.1209/epl/i2004-10202-x Vinke, 1991, Particle-to-bubble adhesion in gas-liquid-solid slurries, AIChEJ, 37, 1801, 10.1002/aic.690371205 Vinke, 1991, adhesion of small particles to gas bubbles: determination of small effective solid-liquid-gas contact angles, Chem. Eng. Sci., 46, 2497, 10.1016/0009-2509(91)80043-X Vinke, 1993, Enhancement of the gas-absorption rate in agitated slurry reactors by gas-adsorbing particles adhering to gas bubbles, Chem. Eng. Sci., 48, 2197, 10.1016/0009-2509(93)80237-K Wang, 2020, Coalescence dynamics of particle-laden bubbles, Langmuir, 36, 5394, 10.1021/acs.langmuir.0c00938 Wang, 2021, The role of microparticles on the shape and surface tension of static bubbles, J. Colloid Interface Sci., 587, 14, 10.1016/j.jcis.2020.11.094 Wang, 2021, Deformation dynamics of particle-laden bubbles: the effect of surfactant concentration and particle contact angle, Miner. Eng., 160, 10.1016/j.mineng.2020.106706 Wang, 2021, Shape deformation and oscillation of particle-laden bubbles after pinch-off from a nozzle, Chem. Eng. J., 412, 10.1016/j.cej.2020.127499 Wang, 2022, Dynamics of a particle-laden bubble colliding with an air-liquid interface, Chem. Eng. J., 429, 10.1016/j.cej.2021.132427 Wang, 2019, The behavior of rising bubbles covered by particles, Chem. Eng. J., 365, 111, 10.1016/j.cej.2019.02.005 Wang, 2019, Effect of particle size on the rising behavior of particle-laden bubbles, Langmuir, 35, 3680, 10.1021/acs.langmuir.8b04112 Wang, 2017, Effect of surfactant on bubble collisions on a free surface, Phys. Rev. Fluids, 2, 1 Wang, 2020, Development of a flotation recovery model with CFD predicted collision efficiency, Miner. Eng., 159, 10.1016/j.mineng.2020.106615 Wang, 2021, Effect of bubble surface loading on bubble rise velocity, Miner. Eng., 174, 10.1016/j.mineng.2021.107252 Wang, 2022, Effect of turbulence dispersion on bubble-particle collision efficiency, Miner. Eng., 177, 10.1016/j.mineng.2021.107374 Wang, 2022, Determining collision efficiency in multi-bubble-particle systems in presence of turbulence, Miner. Eng., 189, 10.1016/j.mineng.2022.107889 Wang, 2019, The coalescence of bubbles immersed in liquid and at the liquid–gas interface, Miner. Eng., 142, 105924, 10.1016/j.mineng.2019.105924 Wimmers, 1988, The use of adhesion of catalyst particles to gas bubbles to achieve enhancement – I. investigation of particle-to-bubble adhesion using the bubble pick-up method, Chem. Eng. Sci., 43 Xia, 2018, Effect of particle shape on bubble-particle attachment angle and flotation behavior of glass beads and fragments, Powder Technol., 338, 168, 10.1016/j.powtec.2018.07.024 Xu, 2013, Three-dimensional CFD–VOF–DPM simulations of effects of low-holdup particles on single-nozzle bubbling behavior in gas–liquid–solid systems, Chem. Eng. J., 222, 292, 10.1016/j.cej.2013.02.065 Yan, 2018, Drag coefficient prediction of a single bubble rising in liquids, Ind. Eng. Chem. Res., 57, 5385, 10.1021/acs.iecr.7b04743 Yan, 2021, Predictions of terminal rising velocity, shape and drag coefficient for particle-laden bubbles, Miner. Eng., 173, 10.1016/j.mineng.2021.107188 Yang, 2018, Experimental technique to study the interaction between a bubble and the particle-laden interface, Front. Chem., 6, 348, 10.3389/fchem.2018.00348 Yoon, 1996, Application of extended DLVO Theory, IV: derivation of flotation rate equation from first principles, J. Colloid Interf. Sci., 181, 613, 10.1006/jcis.1996.0419 Zhang, 2012, An acoustic technique for measurement of bubble solids mass loading – (a) fundamental study of single bubble, Miner. Eng., 36–38, 45, 10.1016/j.mineng.2012.02.007 Zheng, 2020, Prediction of bubble terminal velocity in surfactant aqueous solutions, Can. J. Chem. Eng., 98, 607, 10.1002/cjce.23610 Zhu, 2020, Impact behavior of hydrophilic microparticles on the particle-laden interface, Chem. Eng. Sci., 227, 10.1016/j.ces.2020.115913