Modeling and numerical study of particle-bubble-liquid flows using a front-tracking and discrete-element method

Edwards, 2018, Hydrodynamics of three phase flow in upstream pipes [J], Cogent Eng., 5, 10.1080/23311916.2018.1433983 Yue, 2018, Multiphase flow processing in microreactors combined with heterogeneous catalysis for efficient and sustainable chemical synthesis [J], Catal. Today, 308, 3, 10.1016/j.cattod.2017.09.041 Li, 2019, A CFD study of particle–bubble collision efficiency in froth flotation [J], Min. Eng., 141, 10.1016/j.mineng.2019.105855 Ostadrahimi, 2020, A new empirical model to calculate bubble size in froth flotation columns [J], Colloids Surf. A Physicochem. Eng. Asp., 594, 10.1016/j.colsurfa.2020.124672 Powell, 2017, Application of multiphase reaction engineering and process intensification to the challenges of sustainable future energy and chemicals [J], Chem. Eng. Sci., 157, 15, 10.1016/j.ces.2016.09.007 Li, 2019, Mechanism of shale oil as an effective collector for oxidized coal flotation: from bubble–particle attachment and detachment point of view [J], Fuel, 255, 10.1016/j.fuel.2019.115885 Liu, 2017, Numerical analysis of cavitation erosion and particle erosion in butterfly valve [J], Eng. Fail. Anal., 80, 312, 10.1016/j.engfailanal.2017.06.045 Sedrez, 2019, Experiments and CFD simulations of erosion of a 90° elbow in liquid-dominated liquid-solid and dispersed-bubble-solid flows [J], Wear, 426-427, 570, 10.1016/j.wear.2019.01.015 Yoon, 2016, Development of a turbulent flotation model from first principles and its validation [J], Int. J. Min. Process., 156, 43, 10.1016/j.minpro.2016.05.009 Tao, 2005, Role of bubble size in flotation of coarse and fine particles—a review [J], Sep. Sci. Technol., 39, 741, 10.1081/SS-120028444 Huang, 2011, A new experimental method for determining particle capture efficiency in flotation [J], Chem. Eng. Sci., 66, 982, 10.1016/j.ces.2010.12.006 Ireland, 2014, Collision of a rising bubble–particle aggregate with a gas–liquid interface [J], Int. J. Min. Process., 130, 1, 10.1016/j.minpro.2014.05.002 Weber, 1983, Interceptional and gravitational collision efficiencies for single collectors at intermediate Reynolds numbers [J], J. Colloid Interface Sci., 94, 328, 10.1016/0021-9797(83)90270-9 Xing, 2017, Recent experimental advances for understanding bubble-particle attachment in flotation [J], Adv. Colloid Interface Sci., 246, 105, 10.1016/j.cis.2017.05.019 Rabinovich, 1994, Use of atomic force microscope for the measurements of hydrophobic forces [J], Colloids Surf. A Physicochem. Eng. Asp., 93, 263, 10.1016/0927-7757(94)02985-7 Albijanic, 2010, A review of induction and attachment times of wetting thin films between air bubbles and particles and its relevance in the separation of particles by flotation [J], Adv. Colloid Interface Sci., 159, 1, 10.1016/j.cis.2010.04.003 Verrelli, 2011, Particle–bubble interaction and attachment in flotation [J], Chem. Eng. Sci., 66, 5910, 10.1016/j.ces.2011.08.016 Wang, 2016, A review of the mechanisms and models of bubble-particle detachment in froth flotation [J], Sep. Purif. Technol., 170, 155, 10.1016/j.seppur.2016.06.041 Sasic, 2014, Direct numerical simulation of a hydrodynamic interaction between settling particles and rising microbubbles [J], Eur. J. Mech. B Fluids, 43, 65, 10.1016/j.euromechflu.2013.07.003 Koh, 2006, CFD modelling of bubble–particle attachments in flotation cells [J], Min. Eng., 19, 619, 10.1016/j.mineng.2005.09.013 Koh, 2008, Modelling attachment rates of multi-sized bubbles with particles in a flotation cell [J], Miner. Eng., 21, 989, 10.1016/j.mineng.2008.02.021 Unverdi, 1992, A front-tracking method for viscous, incompressible, multi-fluid flows [J], J. Comput. Phys., 100, 25, 10.1016/0021-9991(92)90307-K Muradoglu, 2010, A front-tracking method for computational modeling of impact and spreading of viscous droplets on solid walls [J], Comput. Fluids, 39, 615, 10.1016/j.compfluid.2009.10.009 Wang, 2019, A brief review of the phase-field-based lattice Boltzmann method for multiphase flows [J], Capillarity, 2, 33, 10.26804/capi.2019.03.01 Baltussen, 2017, Direct numerical simulation of effective drag in dense gas–liquid–solid three-phase flows [J], Chem. Eng. Sci., 158, 561, 10.1016/j.ces.2016.11.013 Tryggvason, 2021 Kuang, 2020, CFD-DEM modelling and simulation of pneumatic conveying: a review [J], Powder Technol., 365, 186, 10.1016/j.powtec.2019.02.011 Horabik, 2016, Parameters and contact models for DEM simulations of agricultural granular materials: a review [J], Biosyst. Eng., 147, 206, 10.1016/j.biosystemseng.2016.02.017 Ge, 2020, CFD-DEM investigation of the interaction between a particle swarm and a stationary bubble: particle-bubble collision efficiency [J], Powder Technol., 366, 641, 10.1016/j.powtec.2020.03.019 Tryggvason, 2011 Lin, 2022, A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects [J], Appl. Math. Model., 103, 287, 10.1016/j.apm.2021.10.022 Cundall, 1979, A discrete numerical model for granular assemblies [J], Géotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Tsuji, 1992, Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe [J], Powder Technol., 71, 239, 10.1016/0032-5910(92)88030-L Ergun, 1952, Fluid flow through packed columns [J], Chem. Eng. Prog., 48, 89 Wen, 1966, Mechanics of fluidization Gidaspow, 1994 Nguyen, 2003, New method and equations for determining attachment tenacity and particle size limit in flotation [J], Int. J. Min. Process., 68, 167, 10.1016/S0301-7516(02)00069-8 Nutt, 1960, Froth flotation: the adhesion of solid particles to flat interfaces and bubbles [J], Chem. Eng. Sci., 12, 133, 10.1016/0009-2509(60)87006-6 Barnocky, 1989, The lubrication force between spherical drops, bubbles and rigid particles in a viscous fluid [J], Int. J. Multiph. Flow, 15, 627, 10.1016/0301-9322(89)90057-8 Nguyen, 2002, Axisymmetric approach of a solid sphere toward a non-deformable planar slip interface in the normal stagnation flow––development of global rational approximations for resistance coefficients [J], Int. J. Multiph. Flow, 28, 1369, 10.1016/S0301-9322(02)00025-3 Zhang, 2005, Evaluation of lubrication force on colliding particles for DEM simulation of fluidized beds [J], Powder Technol., 158, 92, 10.1016/j.powtec.2005.04.021 Evans, 1954, Bubble-mineral attachment in flotation [J], Ind. Eng. Chem., 46, 2420, 10.1021/ie50539a056 Gu, 2004, A novel experimental technique to study single bubble–bitumen attachment in flotation [J], Int. J. Min. Process., 74, 15, 10.1016/j.minpro.2003.08.002 Li, 1990, Rate of collection of particles by flotation [J], Ind. Eng. Chem. Res., 29, 955, 10.1021/ie00102a004 Zhang, 2021, The relationship among contact angle, induction time and flotation recovery of coal [J], Int. J. Coal Prep. Util., 41, 398, 10.1080/19392699.2018.1527771 Xia, 2018, Fully resolved numerical simulations of fused deposition modeling. Part I: fluid flow [J], Rapid Prototyp. J., 24, 463, 10.1108/RPJ-12-2016-0217 Nguyen, 1998, On modelling of bubble–particle attachment probability in flotation [J], Int. J. Min. Process., 53, 225, 10.1016/S0301-7516(97)00073-2 Nguyen, 2004, Movement of fine particles on an air bubble surface studied using high-speed video microscopy [J], J. Colloid Interface Sci., 273, 271, 10.1016/j.jcis.2003.12.066 Yoon, 2000, The role of hydrodynamic and surface forces in bubble–particle interaction [J], Int. J. Min. Process., 58, 129, 10.1016/S0301-7516(99)00071-X Dai, 1998, The inertial hydrodynamic interaction of particles and rising bubbles with mobile surfaces [J], J. Colloid Interface Sci., 197, 275, 10.1006/jcis.1997.5280 Miyahara, 1989, Mechanism of particle entrainment in a gas-liquid-solid fluidized bed [J], AIChE J., 35, 1195, 10.1002/aic.690350715 Cardoso, 2003, Axial dispersion of particles in a slugging column—the role of the laminar wake of the bubbles [J], Chem. Eng. Sci., 58, 4159, 10.1016/S0009-2509(03)00305-1 Madec, 2020, Puzzling bubble rise speed increase in dense granular suspensions [J], Phys. Rev. Lett., 125, 10.1103/PhysRevLett.125.078004 Wan, 2022, Multiphase particle-in-cell simulation study of sorption enhanced steam methane reforming process in a bubbling fluidized bed reactor [J], Chem. Eng. J., 429, 10.1016/j.cej.2021.132461