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The interaction and impact of solid particles from a dilute suspension with fixed spherical and deformed bubbles (i.e., oblate spheroids) with rigid interface was analysed numerically, a situation found for example in flotation or three-phase chemical reactors. The flow field about the bubbles was computed for laminar flow and the particles were considered as point masses incorporating all forces as there are drag, added mass, fluid inertia, transverse shear-lift, and gravity/buoyancy. Particle sizes were varied up to about 200 μm allowing for a wide range of interaction Stokes numbers. The impact efficiency was evaluated for a wide range of bubble Reynolds numbers and bubbles having different shape and size, as well as eccentricity and orientation. The volume equivalent diameter of the bubbles was between 2 and 4 mm. The bubble deformation was varied up to an eccentricity of 1.8 and the bubble orientation was modified until 45 degrees. The effect of different forces on the impact efficiency was studied in detail. Added mass, fluid inertia (part of the pressure term), and slip-shear transverse lift force cannot be neglected in liquid environments, especially for larger particles. The obtained results were also compared to the composite model of Schulze (1989), well established in the field of flotation. Finally, also the particle impact statistics (i.e., location and velocity) was evaluated.
Clift, R., Grace, J. R., Weber, M. E. 1978. Bubbles, Drops, and Particles. New York: Academic Press.
Dai, Z., Fornasiero, D., Ralston, J. 2000. Particle–bubble collision models—A review. Advances in Colloid and Interface Science, 85: 231–256.
Dobby, G. S., Finch, J. A. 1987. Particle size dependence in flotation derived from a fundamental model of the capture process. International Journal of Mineral Processing, 21: 241–260.
Fotovati, S., Vahedi Tafreshi, H., Pourdeyhimi, B. 2010. Influence of fiber orientation distribution on performance of aerosol filtration media. Chemical Engineering Science, 65: 5285–5293.
Galeev, R. S., Zaripov, S. K. 2003. Deposition of aerosol particles on a sphere: The role of gravity. Aerosol Science and Technology, 37: 325–329.
Gao, Y., Wang, G., Evans, G. M., Wanless, E. J., Sathe, M., Mitra, S., Moreno-Atanasio, R. 2015. Modelling the motion of a collected particle over a bubble surface. Procedia Engineering, 102: 1346–1355.
Gruber, M. C., Radl, S., Khinast, J. G. 2016. Effect of bubble–particle interaction models on flow predictions in three-phase bubble columns. Chemical Engineering Science, 146: 226–243.
Guha, A. 2008. Transport and deposition of particles in turbulent and laminar flow. Annual Review of Fluid Mechanics, 40: 311–341.
Hassanzadeh, A., Firouzi, M., Albijanic, B., Celik, M. S. 2018. A review on determination of particle–bubble encounter using analytical, experimental and numerical methods. Minerals Engineering, 122: 296–311.
Ho, C. A., Sommerfeld, M. 2002. Modelling of micro-particle agglomeration in turbulent flows. Chemical Engineering Science, 57: 3073–3084.
Koh, P. T. L., Schwarz, M. P. 2006. CFD modelling of bubble–particle attachments in flotation cells. Minerals Engineering, 19: 619–626.
Koh, P. T. L., Schwarz, M. P. 2008. Modelling attachment rates of multi-sized bubbles with particles in a flotation cell. Minerals Engineering, 21: 989–993.
Li, L., Lian, W., Bai, B., Zhao, Y., Li, P., Zhang, Q., Huang, W. 2021. CFD-PBM investigation of the hydrodynamics in a slurry bubble column reactor with a circular gas distributor and heat exchanger tube. Chemical Engineering Science: X, 9: 100087.
Li, S., Schwarz, M. P., Feng, Y., Witt, P., Sun, C. 2019. A CFD study of particle–bubble collision efficiency in froth flotation. Minerals Engineering, 141: 105855.
Mei, R. 1992. An approximate expression for the shear lift force on a spherical particle at finite Reynolds number. International Journal of Multiphase Flow, 18: 145–147.
Mitra-Majumdar, D., Farouk, B., Shah, Y. T. 1997. Hydrodynamic modeling of three-phase flows through a vertical column. Chemical Engineering Science, 52: 4485–4497.
Mühlbauer, A., Hlawitschka, M. W., Bart, H. J. 2021. Modeling of solid-particle effects on bubble breakage and coalescence in slurry bubble columns. Experimental and Computational Multiphase Flow, 3: 303–317.
Omota, F., Dimian, A. C., Bliek, A. 2006. Adhesion of solid particles to gas bubbles. Part 1: Modelling. Chemical Engineering Science, 61: 823–834.
Pan, H., Chen, X. Z., Liang, X. F., Zhu, L. T., Luo, Z. H. 2016. CFD simulations of gas–liquid–solid flow in fluidized bed reactors—A review. Powder Technology, 299: 235–258.
Pieloth, D., Neumann, T., Schaldach, G., Walzel, P. 2013. CFD-Modellrechnungen zum Auftreffgrad von Partikeln auf Tropfen. Chemie Ingenieur Technik, Jahrg, 85: 1888–1896.
Rabha, S., Schubert, M., Hampel, U. 2013. Hydrodynamic studies in slurry bubble columns: Experimental and numerical study. Chemie Ingenieur Technik, 85: 1092–1098.
Saffman, P. G. 1965. The lift on a small sphere in a slow shear flow. Journal of Fluid Mechanics, 22: 385–400.
Schiller, L., Naumann, A. 1933. Uber die Grundlegenden Berechnungen Bei der Schwerkraftaufbereitung. Zeitschrift des Vereines Deutscher Ingenieure, 77: 318–321.
Schuch, G., Löffler, F. 1978. Über die Abscheidewahrscheinlichkeit von Feststoffpartikeln an Tropfen in einer Gasströmung durch Trägheitseffekte. Verfahrenstechnik, 12: 302–306.
Schulze, H. J. 1989. Hydrodynamics of bubble-mineral particle collisions. Mineral Processing and Extractive Metallurgy Review, 5: 43–76.
Schwarz, M. P., Koh, P. T. L., Verrelli, D. I., Feng, Y. 2016. Sequential multi-scale modelling of mineral processing operations, with application to flotation cells. Minerals Engineering, 90: 2–16.
Sommerfeld, M., Bröder, D. 2009. Analysis of hydrodynamics and microstructure in a bubble column by planar shadow image velocimetry. Industrial & Engineering Chemistry Research, 48: 330–340.
Sommerfeld, M., Lain, S. 2009. From elementary processes to the numerical prediction of industrial particle-laden flows. Multiphase Science and Technology, 21: 123–140.
Sommerfeld, M., Schmalfuß, S. 2020. Analysis and optimisation of particle mixing performance in fluid phase resonance mixers based on Euler/Lagrange calculations. Advanced Powder Technology, 31: 139–157.
Wang, G., Ge, L., Mitra, S., Evans, G. M., Joshi, J. B., Chen, S. 2018. A review of CFD modelling studies on the flotation process. Minerals Engineering, 127: 153–177.
Wang, H., Yan, X., Li, D., Zhou, R., Wang, L., Zhang, H., Liu, Q. 2021. Recent advances in computational fluid dynamics simulation of flotation: A review. Asia-Pacific Journal of Chemical Engineering, 16: e2704.
Weber, M. E., Paddock, D. 1983. Interceptional and gravitational collision efficiencies for single collectors at intermediate Reynolds numbers. Journal of Colloid and Interface Science, 94: 328–335.
Xu, Y., Liu, M., Tang, C. 2013. Three-dimensional CFD–VOF–DPM simulations of effects of low-holdup particles on single-nozzle bubbling behavior in gas–liquid–solid systems. Chemical Engineering Journal, 222: 292–306.
Zhang, X., Ahmadi, G. 2005. Eulerian–Lagrangian simulations of liquid–gas–solid flows in three-phase slurry reactors. Chemical Engineering Science, 60: 5089–5104.
Zhang, X., Ahmadi, G. 2012. Numerical simulations of liquid–gas–solid three-phase flows in microgravity. The Journal of Computational Multiphase Flows, 4: 41–63.
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