메뉴 건너뛰기




Volumn 61, Issue 4, 2015, Pages 1391-1403

A unified theoretical model for breakup of bubbles and droplets in turbulent flows

Author keywords

Bubble droplet breakup; Daughter size distribution; Internal flow through bubble droplet neck; Pressure; Turbulent flows

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DENSITY OF GASES; ENERGY DISSIPATION; PRESSURE; PRESSURE EFFECTS; SIZE DISTRIBUTION; TURBULENT FLOW;

EID: 84925046289     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.14709     Document Type: Article
Times cited : (80)

References (72)
  • 1
    • 0025684147 scopus 로고
    • Pressure and gas-density effects on bubble break-up and gas hold-up in bubble-columns
    • Wilkinson PM, Vondierendonck LL. Pressure and gas-density effects on bubble break-up and gas hold-up in bubble-columns. Chem Eng Sci. 1990;45(8):2309-2315.
    • (1990) Chem Eng Sci. , vol.45 , Issue.8 , pp. 2309-2315
    • Wilkinson, P.M.1    Vondierendonck, L.L.2
  • 2
    • 0031279930 scopus 로고    scopus 로고
    • Influence of elevated pressure on the stability of bubbly flows
    • Letzel HM, Schouten JC, van den Bleek CM, Krishna R. Influence of elevated pressure on the stability of bubbly flows. Chem Eng Sci. 1997;52(21-22):3733-3739.
    • (1997) Chem Eng Sci. , vol.52 , Issue.21-22 , pp. 3733-3739
    • Letzel, H.M.1    Schouten, J.C.2    van den Bleek, C.M.3    Krishna, R.4
  • 3
    • 0033119661 scopus 로고    scopus 로고
    • Maximum stable bubble size and gas holdup in high-pressure slurry bubble columns
    • Luo XK, Lee DJ, Lau R, Yang GQ, Fan LS. Maximum stable bubble size and gas holdup in high-pressure slurry bubble columns. AIChE J. 1999;45(4):665-680.
    • (1999) AIChE J. , vol.45 , Issue.4 , pp. 665-680
    • Luo, X.K.1    Lee, D.J.2    Lau, R.3    Yang, G.Q.4    Fan, L.S.5
  • 4
    • 0043240555 scopus 로고    scopus 로고
    • Axial liquid mixing in high-pressure bubble columns
    • Yang GQ, Fan LS. Axial liquid mixing in high-pressure bubble columns. AIChE J. 2003;49(8):1995-2008.
    • (2003) AIChE J. , vol.49 , Issue.8 , pp. 1995-2008
    • Yang, G.Q.1    Fan, L.S.2
  • 5
    • 49349090266 scopus 로고    scopus 로고
    • Hydrodynamics of a high pressure three-phase fluidized bed subject to foaming
    • Rudkevitch D, Macchi A. Hydrodynamics of a high pressure three-phase fluidized bed subject to foaming. Can J Chem Eng. 2008;86(3):293-301.
    • (2008) Can J Chem Eng. , vol.86 , Issue.3 , pp. 293-301
    • Rudkevitch, D.1    Macchi, A.2
  • 7
    • 0842320684 scopus 로고    scopus 로고
    • Effect of gas density on the hydrodynamics of bubble columns and three-phase fluidized beds
    • Macchi A, Bi H, Grace JR, McKnight CA, Hackman L. Effect of gas density on the hydrodynamics of bubble columns and three-phase fluidized beds. Can J Chem Eng. 2003;81(3-4):846-852.
    • (2003) Can J Chem Eng. , vol.81 , Issue.3-4 , pp. 846-852
    • Macchi, A.1    Bi, H.2    Grace, J.R.3    McKnight, C.A.4    Hackman, L.5
  • 8
    • 84856624288 scopus 로고    scopus 로고
    • Hydrokinetic optimization of commercial scale slurry bubble column reactor
    • Strasser W, Wonders A. Hydrokinetic optimization of commercial scale slurry bubble column reactor. AIChE J. 2012;58(3):946-956.
    • (2012) AIChE J. , vol.58 , Issue.3 , pp. 946-956
    • Strasser, W.1    Wonders, A.2
  • 9
    • 0030294529 scopus 로고    scopus 로고
    • Interfacial area and gas holdup in a bubble column reactor at elevated pressures
    • Stegeman D, Knop PA, Wijnands AJG, Westerterp KR. Interfacial area and gas holdup in a bubble column reactor at elevated pressures. Ind Eng Chem Res. 1996;35(11):3842-3847.
    • (1996) Ind Eng Chem Res. , vol.35 , Issue.11 , pp. 3842-3847
    • Stegeman, D.1    Knop, P.A.2    Wijnands, A.J.G.3    Westerterp, K.R.4
  • 10
    • 0033166591 scopus 로고    scopus 로고
    • Gas holdup and mass transfer in bubble column reactors operated at elevated pressure
    • Letzel HM, Schouten JC, Krishna R, van den Bleek CM. Gas holdup and mass transfer in bubble column reactors operated at elevated pressure. Chem Eng Sci. 1999;54(13-14):2237-2246.
    • (1999) Chem Eng Sci. , vol.54 , Issue.13-14 , pp. 2237-2246
    • Letzel, H.M.1    Schouten, J.C.2    Krishna, R.3    van den Bleek, C.M.4
  • 11
    • 0037289591 scopus 로고    scopus 로고
    • Influence of operating pressure on the gas hold-up in bubble columns for high viscous media
    • Urseanu MI, Guit RPM, Stankiewicz A, van Kranenburg G, Lommen J. Influence of operating pressure on the gas hold-up in bubble columns for high viscous media. Chem Eng Sci. 2003;58(3-6):697-704.
    • (2003) Chem Eng Sci. , vol.58 , Issue.3-6 , pp. 697-704
    • Urseanu, M.I.1    Guit, R.P.M.2    Stankiewicz, A.3    van Kranenburg, G.4    Lommen, J.5
  • 12
    • 76749168589 scopus 로고    scopus 로고
    • Influence of elevated pressure and particle lyophobicity on hydrodynamics and gas-liquid mass transfer in slurry bubble columns
    • Chilekar VP, van der Schaaf J, Kuster BFM, Tinge JT, Schouten JC. Influence of elevated pressure and particle lyophobicity on hydrodynamics and gas-liquid mass transfer in slurry bubble columns. AIChE J. 2010;56(3):584-596.
    • (2010) AIChE J. , vol.56 , Issue.3 , pp. 584-596
    • Chilekar, V.P.1    van der Schaaf, J.2    Kuster, B.F.M.3    Tinge, J.T.4    Schouten, J.C.5
  • 13
    • 33947606983 scopus 로고    scopus 로고
    • Gas holdup and bubble size behavior in a large-scale slurry bubble column reactor operating with an organic liquid under elevated pressures and temperatures
    • Behkish A, Lemoine R, Sehabiague L, Oukaci R, Morsi BI. Gas holdup and bubble size behavior in a large-scale slurry bubble column reactor operating with an organic liquid under elevated pressures and temperatures. Chem Eng J. 2007;128(2-3):69-84.
    • (2007) Chem Eng J. , vol.128 , Issue.2-3 , pp. 69-84
    • Behkish, A.1    Lemoine, R.2    Sehabiague, L.3    Oukaci, R.4    Morsi, B.I.5
  • 15
    • 0027561594 scopus 로고
    • Improved tools for bubble column reactor design and scale-up
    • Deckwer WD, Schumpe A. Improved tools for bubble column reactor design and scale-up. Chem Eng Sci. 1993;48(5):889-911.
    • (1993) Chem Eng Sci. , vol.48 , Issue.5 , pp. 889-911
    • Deckwer, W.D.1    Schumpe, A.2
  • 16
    • 0000352853 scopus 로고
    • A model for gas holdup in bubble columns incorporating the influence of gas density on flow regime transitions
    • Krishna R, Wilkinson PM, Vandierendonck LL. A model for gas holdup in bubble columns incorporating the influence of gas density on flow regime transitions. Chem Eng Sci. 1991;46(10):2491-2496.
    • (1991) Chem Eng Sci. , vol.46 , Issue.10 , pp. 2491-2496
    • Krishna, R.1    Wilkinson, P.M.2    Vandierendonck, L.L.3
  • 17
    • 0032409694 scopus 로고    scopus 로고
    • Effect of gas density on large-bubble holdup in bubble column reactors
    • Letzel MH. Effect of gas density on large-bubble holdup in bubble column reactors. AIChE J. 1998;44(10):2333-2336.
    • (1998) AIChE J. , vol.44 , Issue.10 , pp. 2333-2336
    • Letzel, M.H.1
  • 18
    • 0031280016 scopus 로고    scopus 로고
    • Gas density effect on mass transfer in the slurry bubble column
    • Dewes I, Schumpe A. Gas density effect on mass transfer in the slurry bubble column. Chem Eng Sci. 1997;52(21-22):4105-4109.
    • (1997) Chem Eng Sci. , vol.52 , Issue.21-22 , pp. 4105-4109
    • Dewes, I.1    Schumpe, A.2
  • 19
    • 4944265245 scopus 로고    scopus 로고
    • Bubble behavior of a large-scale bubble column with elevated pressure
    • Jin HB, Yang SH, Zhang TW, Tong ZM. Bubble behavior of a large-scale bubble column with elevated pressure. Chem Eng Technol. 2004;27(9):1007-1013.
    • (2004) Chem Eng Technol. , vol.27 , Issue.9 , pp. 1007-1013
    • Jin, H.B.1    Yang, S.H.2    Zhang, T.W.3    Tong, Z.M.4
  • 20
    • 2942639518 scopus 로고    scopus 로고
    • Dynamic gas disengagement in a high-pressure bubble column
    • Jordan U, Saxena AK, Schumpe A. Dynamic gas disengagement in a high-pressure bubble column. Can J Chem Eng. 2003;81(3-4):491-498.
    • (2003) Can J Chem Eng. , vol.81 , Issue.3-4 , pp. 491-498
    • Jordan, U.1    Saxena, A.K.2    Schumpe, A.3
  • 21
    • 0033231939 scopus 로고    scopus 로고
    • Some aspects of high-pressure phenomena of bubbles in liquids and liquid-solid suspensions
    • Fan LS, Yang GQ, Lee DJ, Tsuchiya K, Luo X. Some aspects of high-pressure phenomena of bubbles in liquids and liquid-solid suspensions. Chem Eng Sci. 1999;54(21):4681-4709.
    • (1999) Chem Eng Sci. , vol.54 , Issue.21 , pp. 4681-4709
    • Fan, L.S.1    Yang, G.Q.2    Lee, D.J.3    Tsuchiya, K.4    Luo, X.5
  • 22
    • 0034610124 scopus 로고    scopus 로고
    • Numerical studies of bubble and particle dynamics in a three-phase fluidized bed at elevated pressures
    • Zhang JP, Li Y, Fan LS. Numerical studies of bubble and particle dynamics in a three-phase fluidized bed at elevated pressures. Powder Technol. 2000;112(1-2):46-56.
    • (2000) Powder Technol. , vol.112 , Issue.1-2 , pp. 46-56
    • Zhang, J.P.1    Li, Y.2    Fan, L.S.3
  • 23
    • 79961040625 scopus 로고    scopus 로고
    • Perturbed breakup of gas bubbles in water: memory, gas flow, and coalescence
    • Keim NC. Perturbed breakup of gas bubbles in water: memory, gas flow, and coalescence. Phys Rev E. 2011;83(5):056325.
    • (2011) Phys Rev E. , vol.83 , Issue.5 , pp. 056325
    • Keim, N.C.1
  • 24
    • 79958149969 scopus 로고    scopus 로고
    • Experimental investigation of the effect of ambient pressure on laser-induced bubble dynamics
    • Li BB, Zhang HC, Lu J, Ni XW. Experimental investigation of the effect of ambient pressure on laser-induced bubble dynamics. Opt Laser Technol. 2011;43(8):1499-1503.
    • (2011) Opt Laser Technol. , vol.43 , Issue.8 , pp. 1499-1503
    • Li, B.B.1    Zhang, H.C.2    Lu, J.3    Ni, X.W.4
  • 25
    • 0017007869 scopus 로고
    • Coalescence of H2S and CO2 bubbles in water
    • Sagert NH, Quinn MJ. Coalescence of H2S and CO2 bubbles in water. Can J Chem Eng. 1976;54(5):392-398.
    • (1976) Can J Chem Eng. , vol.54 , Issue.5 , pp. 392-398
    • Sagert, N.H.1    Quinn, M.J.2
  • 26
    • 0000250560 scopus 로고
    • Influence of high-pressure gases on stability of thin aqueous films
    • Sagert NH, Quinn MJ. Influence of high-pressure gases on stability of thin aqueous films. J Colloid Interface Sci. 1977;61(2):279-286.
    • (1977) J Colloid Interface Sci. , vol.61 , Issue.2 , pp. 279-286
    • Sagert, N.H.1    Quinn, M.J.2
  • 27
    • 0032029578 scopus 로고    scopus 로고
    • Bubble flow characteristics in bubble columns at elevated pressure and temperature
    • Lin TJ, Tsuchiya K, Fan LS. Bubble flow characteristics in bubble columns at elevated pressure and temperature. AIChE J. 1998;44(3):545-560.
    • (1998) AIChE J. , vol.44 , Issue.3 , pp. 545-560
    • Lin, T.J.1    Tsuchiya, K.2    Fan, L.S.3
  • 29
    • 33744801966 scopus 로고    scopus 로고
    • On the breakup of fluid particles in turbulent flows
    • Andersson R, Andersson B. On the breakup of fluid particles in turbulent flows. AIChE J. 2006;52(6):2020-2030.
    • (2006) AIChE J. , vol.52 , Issue.6 , pp. 2020-2030
    • Andersson, R.1    Andersson, B.2
  • 30
    • 44949157265 scopus 로고    scopus 로고
    • Numerical studies of bubble necking in viscous liquids
    • Quan SP, Hua JS. Numerical studies of bubble necking in viscous liquids. Phys Rev E. 2008;77(6):066303.
    • (2008) Phys Rev E. , vol.77 , Issue.6 , pp. 066303
    • Quan, S.P.1    Hua, J.S.2
  • 32
    • 33749007433 scopus 로고    scopus 로고
    • Axisymmetric breakup of bubbles at high Reynolds numbers
    • Gordillo JM, Perez-Saborid M. Axisymmetric breakup of bubbles at high Reynolds numbers. J Fluid Mech. 2006;562:303-312.
    • (2006) J Fluid Mech. , vol.562 , pp. 303-312
    • Gordillo, J.M.1    Perez-Saborid, M.2
  • 34
    • 80155127291 scopus 로고    scopus 로고
    • On the dynamics and breakup of a bubble rising in a turbulent flow
    • Ravelet F, Colin C, Risso F. On the dynamics and breakup of a bubble rising in a turbulent flow. Phys Fluids. 2011;23(10):103301.
    • (2011) Phys Fluids. , vol.23 , Issue.10 , pp. 103301
    • Ravelet, F.1    Colin, C.2    Risso, F.3
  • 35
    • 33750996413 scopus 로고    scopus 로고
    • A theoretical bubble breakup model for slurry beds or three-phase fluidized beds under high pressure
    • Zhao H, Ge W. A theoretical bubble breakup model for slurry beds or three-phase fluidized beds under high pressure. Chem Eng Sci. 2007;62(1-2):109-115.
    • (2007) Chem Eng Sci. , vol.62 , Issue.1-2 , pp. 109-115
    • Zhao, H.1    Ge, W.2
  • 36
    • 0026158502 scopus 로고
    • Experimental observations of bubble breakage in turbulent
    • Hesketh RP, Etchells AW, Russell TWF. Experimental observations of bubble breakage in turbulent. Ind Eng Chem Res. 1991;30(5):835-841.
    • (1991) Ind Eng Chem Res. , vol.30 , Issue.5 , pp. 835-841
    • Hesketh, R.P.1    Etchells, A.W.2    Russell, T.W.F.3
  • 37
    • 34848910170 scopus 로고    scopus 로고
    • Drop breakage in liquid-liquid stirred dispersions: modelling of single drop breakage
    • Zaccone A, Gaebler A, Maass S, Marchisio D, Kraume M. Drop breakage in liquid-liquid stirred dispersions: modelling of single drop breakage. Chem Eng Sci. 2007;62(22):6297-6307.
    • (2007) Chem Eng Sci. , vol.62 , Issue.22 , pp. 6297-6307
    • Zaccone, A.1    Gaebler, A.2    Maass, S.3    Marchisio, D.4    Kraume, M.5
  • 38
    • 27144499778 scopus 로고    scopus 로고
    • Population balance model for gas-liquid flows: influence of bubble coalescence and breakup models
    • Wang TF, Wang JF, Jin Y. Population balance model for gas-liquid flows: influence of bubble coalescence and breakup models. Ind Eng Chem Res. 2005;44(19):7540-7549.
    • (2005) Ind Eng Chem Res. , vol.44 , Issue.19 , pp. 7540-7549
    • Wang, T.F.1    Wang, J.F.2    Jin, Y.3
  • 39
    • 84876706343 scopus 로고    scopus 로고
    • Experimental study and numerical simulation with a coupled CFD-PBM model of the effect of liquid viscosity in a bubble column
    • Xing CT, Wang TF, Wang JF. Experimental study and numerical simulation with a coupled CFD-PBM model of the effect of liquid viscosity in a bubble column. Chem Eng Sci. 2013;95:313-322.
    • (2013) Chem Eng Sci. , vol.95 , pp. 313-322
    • Xing, C.T.1    Wang, T.F.2    Wang, J.F.3
  • 40
    • 33645326261 scopus 로고    scopus 로고
    • A CFD-PBM coupled model for gas-liquid flows
    • Wang TF, Wang JF, Jin Y. A CFD-PBM coupled model for gas-liquid flows. AIChE J. 2006;52(1):125-140.
    • (2006) AIChE J. , vol.52 , Issue.1 , pp. 125-140
    • Wang, T.F.1    Wang, J.F.2    Jin, Y.3
  • 41
    • 0142126320 scopus 로고    scopus 로고
    • A novel theoretical breakup kernel function for bubbles/droplets in a turbulent flow
    • Wang TF, Wang JF, Jin Y. A novel theoretical breakup kernel function for bubbles/droplets in a turbulent flow. Chem Eng Sci. 2003;58(20):4629-4637.
    • (2003) Chem Eng Sci. , vol.58 , Issue.20 , pp. 4629-4637
    • Wang, T.F.1    Wang, J.F.2    Jin, Y.3
  • 42
    • 0030141789 scopus 로고    scopus 로고
    • Theoretical model for drop and bubble breakup in turbulent dispersions
    • Luo H, Svendsen HF. Theoretical model for drop and bubble breakup in turbulent dispersions. AIChE J. 1996;42(5):1225-1233.
    • (1996) AIChE J. , vol.42 , Issue.5 , pp. 1225-1233
    • Luo, H.1    Svendsen, H.F.2
  • 43
    • 78650714718 scopus 로고    scopus 로고
    • A theoretical model for droplet breakup in turbulent dispersions
    • Han LC, Luo HA, Liu YJ. A theoretical model for droplet breakup in turbulent dispersions. Chem Eng Sci. 2011;66(4):766-776.
    • (2011) Chem Eng Sci. , vol.66 , Issue.4 , pp. 766-776
    • Han, L.C.1    Luo, H.A.2    Liu, Y.J.3
  • 44
    • 33744805380 scopus 로고    scopus 로고
    • Modeling the breakup of fluid particles in turbulent flows
    • Andersson R, Andersson B. Modeling the breakup of fluid particles in turbulent flows. AIChE J. 2006;52(6):2031-2038.
    • (2006) AIChE J. , vol.52 , Issue.6 , pp. 2031-2038
    • Andersson, R.1    Andersson, B.2
  • 45
    • 0015279039 scopus 로고
    • Behavior of dispersed particles in turbulent liquid flow
    • Kuboi R, Komasawa I, Otake T. Behavior of dispersed particles in turbulent liquid flow. J Chem Eng Jpn. 1972;5(4):349-355.
    • (1972) J Chem Eng Jpn. , vol.5 , Issue.4 , pp. 349-355
    • Kuboi, R.1    Komasawa, I.2    Otake, T.3
  • 46
    • 84942251429 scopus 로고
    • Bubble breakup and coalescence in turbulent gas-liquid dispersions
    • Lee C-H, Erickson L, Glasgow L. Bubble breakup and coalescence in turbulent gas-liquid dispersions. Chem Eng Commun. 1987;59(1-6):65-84.
    • (1987) Chem Eng Commun. , vol.59 , Issue.1-6 , pp. 65-84
    • Lee, C.-H.1    Erickson, L.2    Glasgow, L.3
  • 47
    • 0025500919 scopus 로고
    • Bubble coalescence and break-up in air-sparged bubble-columns
    • Prince MJ, Blanch HW. Bubble coalescence and break-up in air-sparged bubble-columns. AIChE J. 1990;36(10):1485-1499.
    • (1990) AIChE J. , vol.36 , Issue.10 , pp. 1485-1499
    • Prince, M.J.1    Blanch, H.W.2
  • 48
    • 0036699123 scopus 로고    scopus 로고
    • A model for turbulent binary breakup of dispersed fluid particles
    • Hagesaether L, Jakobsen HA, Svendsen HF. A model for turbulent binary breakup of dispersed fluid particles. Chem Eng Sci. 2002;57(16):3251-3267.
    • (2002) Chem Eng Sci. , vol.57 , Issue.16 , pp. 3251-3267
    • Hagesaether, L.1    Jakobsen, H.A.2    Svendsen, H.F.3
  • 49
    • 84887605008 scopus 로고    scopus 로고
    • On the constitutive equations for fluid particle breakage
    • Solsvik J, Tangen S, Jakobsen HA. On the constitutive equations for fluid particle breakage. Rev Chem Eng. 2013;29(5):241-356.
    • (2013) Rev Chem Eng. , vol.29 , Issue.5 , pp. 241-356
    • Solsvik, J.1    Tangen, S.2    Jakobsen, H.A.3
  • 52
    • 0003987999 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Pope SB. Turbulent Flows. Cambridge: Cambridge University Press, 2000.
    • (2000) Turbulent Flows
    • Pope, S.B.1
  • 56
    • 0017674758 scopus 로고
    • Description of interaction processes in agitated liquid-liquid dispersions
    • Coulaloglou CA, Tavlarides LL. Description of interaction processes in agitated liquid-liquid dispersions. Chem Eng Sci. 1977;32(11):1289-1297.
    • (1977) Chem Eng Sci. , vol.32 , Issue.11 , pp. 1289-1297
    • Coulaloglou, C.A.1    Tavlarides, L.L.2
  • 57
    • 57949095202 scopus 로고    scopus 로고
    • Mass transfer rates from oscillating bubbles in bubble columns operating with viscous fluids
    • Martin M, Montes FJ, Galan MA. Mass transfer rates from oscillating bubbles in bubble columns operating with viscous fluids. Ind Eng Chem Res. 2008;47(23):9527-9536.
    • (2008) Ind Eng Chem Res. , vol.47 , Issue.23 , pp. 9527-9536
    • Martin, M.1    Montes, F.J.2    Galan, M.A.3
  • 58
    • 0032183804 scopus 로고    scopus 로고
    • Oscillations and breakup of a bubble immersed in a turbulent field
    • Risso F, Fabre J. Oscillations and breakup of a bubble immersed in a turbulent field. J Fluid Mech. 1998;372:323-355.
    • (1998) J Fluid Mech. , vol.372 , pp. 323-355
    • Risso, F.1    Fabre, J.2
  • 59
    • 34548172970 scopus 로고    scopus 로고
    • Dynamics of drop breakup in inhomogeneous turbulence at various volume fractions
    • Galinat S, Risso F, Masbernat O, Guiraud P. Dynamics of drop breakup in inhomogeneous turbulence at various volume fractions. J Fluid Mech. 2007;578:85-94.
    • (2007) J Fluid Mech. , vol.578 , pp. 85-94
    • Galinat, S.1    Risso, F.2    Masbernat, O.3    Guiraud, P.4
  • 60
    • 0012956421 scopus 로고    scopus 로고
    • On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles
    • Martinez-Bazan C, Montanes JL, Lasheras JC. On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles. J Fluid Mech. 1999;401:183-207.
    • (1999) J Fluid Mech. , vol.401 , pp. 183-207
    • Martinez-Bazan, C.1    Montanes, J.L.2    Lasheras, J.C.3
  • 61
    • 0001438883 scopus 로고    scopus 로고
    • On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency
    • Martinez-Bazan C, Montanes JL, Lasheras JC. On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency. J Fluid Mech. 1999;401:157-182.
    • (1999) J Fluid Mech. , vol.401 , pp. 157-182
    • Martinez-Bazan, C.1    Montanes, J.L.2    Lasheras, J.C.3
  • 62
    • 84855444066 scopus 로고    scopus 로고
    • Determination of breakage rates using single drop experiments
    • Maass S, Kraume M. Determination of breakage rates using single drop experiments. Chem Eng Sci. 2012;70:146-164.
    • (2012) Chem Eng Sci. , vol.70 , pp. 146-164
    • Maass, S.1    Kraume, M.2
  • 63
    • 67649401704 scopus 로고    scopus 로고
    • A literature review of theoretical models for drop and bubble breakup in turbulent dispersions
    • Liao YX, Lucas D. A literature review of theoretical models for drop and bubble breakup in turbulent dispersions. Chem Eng Sci. 2009;64(15):3389-3406.
    • (2009) Chem Eng Sci. , vol.64 , Issue.15 , pp. 3389-3406
    • Liao, Y.X.1    Lucas, D.2
  • 64
    • 0036827410 scopus 로고    scopus 로고
    • Bubble-size distributions and flow fields in bubble columns
    • Lehr F, Millies M, Mewes D. Bubble-size distributions and flow fields in bubble columns. AIChE J. 2002;48(11):2426-2443.
    • (2002) AIChE J. , vol.48 , Issue.11 , pp. 2426-2443
    • Lehr, F.1    Millies, M.2    Mewes, D.3
  • 65
    • 35848957119 scopus 로고
    • Effect of pressure on the viscosity of water
    • Wonham J. Effect of pressure on the viscosity of water. Nature. 1967;215(5105):1053-1054.
    • (1967) Nature. , vol.215 , Issue.5105 , pp. 1053-1054
    • Wonham, J.1
  • 67
    • 33847803832 scopus 로고
    • Effect of pressure on the surface tension of water. Adsorption of low molecular weight gases on water at 25.deg
    • Massoudi R, King AD. Effect of pressure on the surface tension of water. Adsorption of low molecular weight gases on water at 25.deg. J Phys Chem. 1974;78(22):2262-2266.
    • (1974) J Phys Chem. , vol.78 , Issue.22 , pp. 2262-2266
    • Massoudi, R.1    King, A.D.2
  • 69
    • 2442606590 scopus 로고    scopus 로고
    • An efficient numerical algorithm for A novel theoretical breakup kernel function of bubble/droplet in a turbulent flow.
    • Wang TF, Wang JF, Jin J. An efficient numerical algorithm for A novel theoretical breakup kernel function of bubble/droplet in a turbulent flow. Chem Eng Sci. 2004;59(12):2593-2595.
    • (2004) Chem Eng Sci. , vol.59 , Issue.12 , pp. 2593-2595
    • Wang, T.F.1    Wang, J.F.2    Jin, J.3
  • 70
    • 0000796899 scopus 로고    scopus 로고
    • Ultralow interfacial tensions in water-n-alkane-surfactant systems
    • Sottmann T, Strey R. Ultralow interfacial tensions in water-n-alkane-surfactant systems. J Chem Phys. 1997;106(20):8606-8615.
    • (1997) J Chem Phys. , vol.106 , Issue.20 , pp. 8606-8615
    • Sottmann, T.1    Strey, R.2
  • 71
    • 36148956143 scopus 로고    scopus 로고
    • Hydrodynamics and mass transfer in bubble column: influence of liquid phase surface tension
    • Chaumat H, Billet AM, Delmas H. Hydrodynamics and mass transfer in bubble column: influence of liquid phase surface tension. Chem Eng Sci. 2007;62(24):7378-7390.
    • (2007) Chem Eng Sci. , vol.62 , Issue.24 , pp. 7378-7390
    • Chaumat, H.1    Billet, A.M.2    Delmas, H.3
  • 72
    • 4444374333 scopus 로고    scopus 로고
    • Hydrodynamic and mass-transfer characteristics in organic liquid mixtures in a large-scale bubble column reactor for the toluene oxidation process
    • Lemoine R, Behkish A, Morsi BI. Hydrodynamic and mass-transfer characteristics in organic liquid mixtures in a large-scale bubble column reactor for the toluene oxidation process. Ind Eng Chem Res. 2004;43(19):6195-6212.
    • (2004) Ind Eng Chem Res. , vol.43 , Issue.19 , pp. 6195-6212
    • Lemoine, R.1    Behkish, A.2    Morsi, B.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.