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Volumn 43, Issue , 2014, Pages 65-75

Direct numerical simulation of a hydrodynamic interaction between settling particles and rising microbubbles

Author keywords

Bubbles; Direct Numerical Simulation (DNS); Droplets; Solid particles; Volume of Fluid (VOF)

Indexed keywords

BUBBLES (IN FLUIDS); DIRECT NUMERICAL SIMULATION; DROPS; NETWORK FUNCTION VIRTUALIZATION; NUMERICAL MODELS;

EID: 84889098935     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2013.07.003     Document Type: Article
Times cited : (13)

References (46)
  • 2
    • 0019367877 scopus 로고
    • Volume of Fluid (VOF) method for the dynamics of free boundaries
    • C.W. Hirt, B.D. Nichols, Volume of Fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys. 39 (1981) 201-225.
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 4
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • C.S. Peskin, The immersed boundary method, Acta Numer. 11 (2002) 479-517.
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 6
    • 77955414113 scopus 로고    scopus 로고
    • 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
    • B. Albijanic, O. Ozdemir, A.V. Nguyen, D. Bradshaw, 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, Adv. Colloid Interface Sci. 159 (2010) 1-21.
    • (2010) Adv. Colloid Interface Sci. , vol.159 , pp. 1-21
    • Albijanic, B.1    Ozdemir, O.2    Nguyen, A.V.3    Bradshaw, D.4
  • 7
    • 19744372513 scopus 로고    scopus 로고
    • Influence of surface active substances on bubble motion and collision with various interfaces
    • K. Malysa, M. Krasowska, M. Krzan, Influence of surface active substances on bubble motion and collision with various interfaces, Adv. Colloid Interface Sci. 114-115 (2005) 205-225.
    • (2005) Adv. Colloid Interface Sci. , vol.114-115 , pp. 205-225
    • Malysa, K.1    Krasowska, M.2    Krzan, M.3
  • 8
    • 33644935388 scopus 로고    scopus 로고
    • CFD modelling of bubble-particle attachments in flotation cells
    • P.T.L. Koh, M.P. Schwarz, CFD modelling of bubble-particle attachments in flotation cells, Miner. Eng. 19 (2006) 619-626.
    • (2006) Miner. Eng. , vol.19 , pp. 619-626
    • Koh, P.T.L.1    Schwarz, M.P.2
  • 9
    • 35348938478 scopus 로고    scopus 로고
    • CFD model of a self-aerating flotation cell
    • P.T.L. Koh, M.P. Schwarz, CFD model of a self-aerating flotation cell, Int. J. Miner. Process. 85 (2007) 16-24.
    • (2007) Int. J. Miner. Process. , vol.85 , pp. 16-24
    • Koh, P.T.L.1    Schwarz, M.P.2
  • 10
    • 52949114861 scopus 로고    scopus 로고
    • Modelling attachment rates of multi-sized bubbles with particles in a flotation cell
    • P.T.L. Koh, M.P. Schwarz, Modelling attachment rates of multi-sized bubbles with particles in a flotation cell, Miner. Eng. 21 (2008) 989-993.
    • (2008) Miner. Eng. , vol.21 , pp. 989-993
    • Koh, P.T.L.1    Schwarz, M.P.2
  • 11
    • 0027591372 scopus 로고
    • Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes
    • B. De rjaguin, L. Landau, Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes, Prog. Surf. Sci. 43 (1993) 30-59.
    • (1993) Prog. Surf. Sci. , vol.43 , pp. 30-59
    • De Rjaguin, B.1    Landau, L.2
  • 12
    • 74649086024 scopus 로고    scopus 로고
    • DNS of gas bubbles behavior using an improved 3D front tracking model-Drag force on isolated bubbles and comparison with experiments
    • W. Dijkhuizen, I. Roghair, M.v. Sint Annaland, J.A.M. Kuipers, DNS of gas bubbles behavior using an improved 3D front tracking model-Drag force on isolated bubbles and comparison with experiments, Chem. Eng. Sci. 65 (2010) 1415-1426.
    • (2010) Chem. Eng. Sci. , vol.65 , pp. 1415-1426
    • Dijkhuizen, W.1    Roghair, I.2    Sint Annaland, M.V.3    Kuipers, J.A.M.4
  • 13
    • 63249094357 scopus 로고    scopus 로고
    • Direct numerical simulation of complex multi-fluid flows using a combined front tracking and immersed boundary method
    • N.G. De en, M.v. Sint Annaland, J.A.M. Kuipers, Direct numerical simulation of complex multi-fluid flows using a combined front tracking and immersed boundary method, Chem. Eng. Sci. 64 (2009) 2186-2201.
    • (2009) Chem. Eng. Sci. , vol.64 , pp. 2186-2201
    • De En, N.G.1    Sint Annaland, M.V.2    Kuipers, J.A.M.3
  • 14
    • 84877798210 scopus 로고    scopus 로고
    • Simulation of single mode Rayleigh-Taylor instability by SPH method
    • M.S. Shadloo, A. Zainali, M. Yildiz, Simulation of single mode Rayleigh-Taylor instability by SPH method, Comput. Mech. 51 (5) (2012) 699-715.
    • (2012) Comput. Mech. , vol.51 , Issue.5 , pp. 699-715
    • Shadloo, M.S.1    Zainali, A.2    Yildiz, M.3
  • 15
    • 0036602010 scopus 로고    scopus 로고
    • Interface tracking towards the direct simulation of heat and mass transfer in multiphase flows
    • D. Lakehal, M. Meier, M. Fulgosi, Interface tracking towards the direct simulation of heat and mass transfer in multiphase flows, Int. J. Heat Fluid Flow 23 (2002) 242-257.
    • (2002) Int. J. Heat Fluid Flow , vol.23 , pp. 242-257
    • Lakehal, D.1    Meier, M.2    Fulgosi, M.3
  • 16
    • 84890232674 scopus 로고    scopus 로고
    • Chemical reactor modelling
    • Springer Verlag Berlin Heidelberg
    • H.A. Jakobsen, Chemical Reactor Modelling. Multiphase Reactive Flows, Springer-Verlag, Berlin Heidelberg, 2008.
    • (2008) Multiphase Reactive Flows
    • Jakobsen, H.A.1
  • 17
    • 0003663039 scopus 로고
    • An interface tracking method for a 3D Eulerian hydrodynamics code
    • D.L. Youngs, An interface tracking method for a 3D Eulerian hydrodynamics code, Technical report 44/92/35, AWRE, 1984.
    • (1984) Technical Report 44/92/35 AWRE
    • Youngs, D.L.1
  • 20
    • 77954966317 scopus 로고    scopus 로고
    • Comparison of CICSAM and HRIC highresolution schemes for interface capturing
    • T. Waclawczyk, T. Koronowicz, Comparison of CICSAM and HRIC highresolution schemes for interface capturing, J. Theor. Appl. Mech. 46 (2008) 325-345.
    • (2008) J. Theor. Appl. Mech. , vol.46 , pp. 325-345
    • Waclawczyk, T.1    Koronowicz, T.2
  • 21
    • 28144462923 scopus 로고
    • A continuum method for modelling surface tension
    • J.U. Brackbill, D.B. Kothe, C. Zemach, A continuum method for modelling surface tension, J. Comput. Phys. 100 (1992) 335-354.
    • (1992) J. Comput. Phys. , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 22
    • 0031127929 scopus 로고    scopus 로고
    • Volume tracking methods for interfacial flow calculations
    • M. Rudman, Volume tracking methods for interfacial flow calculations, Int. J. Numer. Meth. Fluids 24 (1998) 679-691.
    • (1998) Int. J. Numer. Meth. Fluids , vol.24 , pp. 679-691
    • Rudman, M.1
  • 23
    • 0033618513 scopus 로고    scopus 로고
    • A front tracking algorithm for accurate representation of surface tension
    • S. Popinet, S. Zaleski, A front tracking algorithm for accurate representation of surface tension, Int. J. Numer. Meth. Fluids 30 (1999) 775-793.
    • (1999) Int. J. Numer. Meth. Fluids , vol.30 , pp. 775-793
    • Popinet, S.1    Zaleski, S.2
  • 24
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poissons equation on irregular domains
    • X.D. Liu, R.P. Fedkiw, M. Kang, A boundary condition capturing method for Poissons equation on irregular domains, J. Comput. Phys. 160 (2000) 151-178.
    • (2000) J. Comput. Phys. , vol.160 , pp. 151-178
    • Liu, X.D.1    Fedkiw, R.P.2    Kang, M.3
  • 25
    • 31844439128 scopus 로고    scopus 로고
    • A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework
    • M.M. Francois, S.J. Cummins, E.D. De ndy, D.B. Kothe, J.M. Sicilian, M.W. Williams, A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework, J. Comput. Phys. 213 (2006) 141-173.
    • (2006) J. Comput. Phys. , vol.213 , pp. 141-173
    • Francois, M.M.1    Cummins, S.J.2    Dendy, E.D.3    Kothe, D.B.4    Sicilian, J.M.5    Williams, M.W.6
  • 26
    • 78649994217 scopus 로고    scopus 로고
    • A novel numerical scheme for the investigation of surface tension effects on growth and collapse stages of cavitation bubbles
    • E. Samiei, M. Shams, R. Ebrahimi, A novel numerical scheme for the investigation of surface tension effects on growth and collapse stages of cavitation bubbles, Eur. J. Mech. B Fluid 30 (2011) 41-50.
    • (2011) Eur. J. Mech. B Fluid , vol.30 , pp. 41-50
    • Samiei, E.1    Shams, M.2    Ebrahimi, R.3
  • 28
    • 0001330031 scopus 로고
    • Mouvement permanent lent dune sphere liquid et visqueuse dans un liquid visqueux
    • J.S. Hadamard, Mouvement permanent lent dune sphere liquid et visqueuse dans un liquid visqueux, C.R. Acad. Sci. 152 (1911) 1735-1752.
    • (1911) C.R. Acad. Sci. , vol.152 , pp. 1735-1752
    • Hadamard, J.S.1
  • 29
    • 0002111918 scopus 로고
    • Über die fortschreitende bewegung einer flussigen kügel in einem zahen medium
    • W. Rybczynski, Über die fortschreitende bewegung einer flussigen kügel in einem zahen medium, Bull. Acad. Sci. Cracovie Ser. A1 (1911) 40-46.
    • (1911) Bull. Acad. Sci. Cracovie Ser. , vol.A1 , pp. 40-46
    • Rybczynski, W.1
  • 30
    • 84872494576 scopus 로고    scopus 로고
    • A model to estimate the size of aggregates formed in a dissolved air flotation unit
    • M. Bondelind, S. Sasic, L. Bergdahl, A model to estimate the size of aggregates formed in a dissolved air flotation unit, Appl. Math. Model. 37 (2013) 3036-3047.
    • (2013) Appl. Math. Model. , vol.37 , pp. 3036-3047
    • Bondelind, M.1    Sasic, S.2    Bergdahl, L.3
  • 31
    • 79960900306 scopus 로고    scopus 로고
    • A novel multiphase DNS approach for handling solid particles in a rarefied gas in
    • H. Ström, S. Sasic, B. Andersson, A novel multiphase DNS approach for handling solid particles in a rarefied gas, Int. J. Multiph. Flow 37 (2011) 906-918.
    • (2011) T. J. Multiph. Flow , vol.37 , pp. 906-918
    • Ström, H.1    Sasic, S.2    Andersson, B.3
  • 33
    • 0001532298 scopus 로고    scopus 로고
    • Numerical simulation of moving contact line problems using a volume of fluid method
    • M. Renardy, Y. Renardy, J. Li, Numerical simulation of moving contact line problems using a volume of fluid method, J. Comput. Phys. 171 (2001) 243-263.
    • (2001) J. Comput. Phys. , vol.171 , pp. 243-263
    • Renardy, M.1    Renardy, Y.2    Li, J.3
  • 34
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • R. Scardovelli, S. Zaleski, Direct numerical simulation of free-surface and interfacial flow, Annu. Rev. Fluid Mech. 31 (1999) 567-603.
    • (1999) Annu. Rev. Fluid Mech. , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 37
    • 34548400208 scopus 로고    scopus 로고
    • Advecting normal vectors: A new method for calculating interface normal and curvatures when modelling twophase flows
    • M. Raessi, J. Mostaghimi, M. Bussmann, Advecting normal vectors: A new method for calculating interface normal and curvatures when modelling twophase flows, J. Comput. Phys. 226 (2007) 774-797.
    • (2007) J. Comput. Phys. , vol.226 , pp. 774-797
    • Raessi, M.1    Mostaghimi, J.2    Bussmann, M.3
  • 39
    • 29044450413 scopus 로고    scopus 로고
    • Convective schemes for capturing interfaces of freesurface flows on unstructured grids
    • M. Darwish, F. Moukalled, Convective schemes for capturing interfaces of freesurface flows on unstructured grids, Numer. Heat Transfer B 49 (2006) 19-42.
    • (2006) Numer. Heat Transfer B , vol.49 , pp. 19-42
    • Darwish, M.1    Moukalled, F.2
  • 40
    • 0036605998 scopus 로고    scopus 로고
    • Correction for particle-wall interactions in the separation of colloids by flow field-flow fractionation
    • Q. Du, M.E. Schimpf, Correction for particle-wall interactions in the separation of colloids by flow field-flow fractionation, Anal. Chem. 74 (2002) 2478-2485.
    • (2002) Anal. Chem. , vol.74 , pp. 2478-2485
    • Du, Q.1    Schimpf, M.E.2
  • 41
    • 0037933449 scopus 로고    scopus 로고
    • The effect of particle interactions on the sedimentation process of non-cohesive particles
    • Z.-J. Xu, E.E. Michaelides, The effect of particle interactions on the sedimentation process of non-cohesive particles, Int. J. Multiph. Flow 29 (2003) 959-982.
    • (2003) Int. J. Multiph. Flow 29 , pp. 959-982
    • Xu, Z.-J.1    Michaelides, E.E.2
  • 42
    • 0001454828 scopus 로고
    • The slow motion of a sphere through a viscous fluid towards a plane surface
    • H. Brenner, The slow motion of a sphere through a viscous fluid towards a plane surface, Chem. Eng. Sci. 16 (1961) 241-251.
    • (1961) Chem. Eng. Sci. , vol.16 , pp. 241-251
    • Brenner, H.1
  • 43
    • 0000399132 scopus 로고
    • Resistance coefficient of a solid sphere approaching plane and curved boundaries
    • Z. Adamczyk, M. Adamczyk, T.G.M. Van De Ven, Resistance coefficient of a solid sphere approaching plane and curved boundaries, J. Colloid Interface Sci. 96 (1983) 204-213.
    • (1983) J. Colloid Interface Sci. , vol.96 , pp. 204-213
    • Adamczyk, Z.1    Adamczyk, M.2    Ven De Van, T.G.M.3
  • 44
    • 0004168443 scopus 로고
    • Cambridge University Press
    • H. Lamb, Hydrodynamics, Cambridge University Press, 1975.
    • (1975) Hydrodynamics
    • Lamb, H.1
  • 45
    • 0026903486 scopus 로고
    • Collision efficiency for fine mineral particles with single bubble in a countercurrent flow regime
    • A.V. Nguyen, S. Kmet, Collision efficiency for fine mineral particles with single bubble in a countercurrent flow regime, Int. J. Miner. Process. 35 (1992) 205-223.
    • (1992) Int. J. Miner. Process. , vol.35 , pp. 205-223
    • Nguyen, A.V.1    Kmet, S.2


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