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Volumn 61, Issue 7, 2015, Pages 2147-2168

Consideration of low viscous droplet breakage in the framework of the wide energy spectrum and the multiple fragments

Author keywords

Daughter size distribution; Droplet; Multiple breakages; Turbulent flow; Wide energy spectrum

Indexed keywords

SPECTROSCOPY; TURBULENT FLOW;

EID: 84931566132     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.14830     Document Type: Article
Times cited : (33)

References (54)
  • 1
    • 0036467355 scopus 로고    scopus 로고
    • A review of statistical models for the break up of an immiscible fluid immersed into a fully developed turbulent flow
    • Lasheras JC, Eastwood C, Martínez-Bazán C, Montañés JL. A review of statistical models for the break up of an immiscible fluid immersed into a fully developed turbulent flow. Int J of Multiphase Flow. 2002;28(2):247-278.
    • (2002) Int J of Multiphase Flow , vol.28 , Issue.2 , pp. 247-278
    • Lasheras, J.C.1    Eastwood, C.2    Martínez-Bazán, C.3    Montañés, J.L.4
  • 3
    • 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;64:3389-2406.
    • (2009) Chem Eng Sci , vol.64 , pp. 2406-3389
    • Liao, Y.X.1    Lucas, D.2
  • 4
    • 84858014001 scopus 로고    scopus 로고
    • Review of Kernels for droplet-droplet interaction, droplet-wall collision, entrainment, re-entrainment, and breakage
    • Marchetti JM, Svendsen HF. Review of Kernels for droplet-droplet interaction, droplet-wall collision, entrainment, re-entrainment, and breakage. Chem Eng Commun. 2012;199(4):551-575.
    • (2012) Chem Eng Commun , vol.199 , Issue.4 , pp. 551-575
    • Marchetti, J.M.1    Svendsen, H.F.2
  • 5
    • 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
  • 6
    • 84925246317 scopus 로고    scopus 로고
    • Mean drop size correlations and population balance models for liquid-liquid dispersion
    • Zainal Abidin MII, Abdul Raman AA, Mohamad Nor MI. Mean drop size correlations and population balance models for liquid-liquid dispersion. AIChE J. 2015;61(4):1129-1145.
    • (2015) AIChE J. , vol.61 , Issue.4 , pp. 1129-1145
    • Zainal Abidin, M.I.I.1    Abdul Raman, A.A.2    Mohamad Nor, M.I.3
  • 7
    • 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;32:1289-1297.
    • (1977) Chem Eng Sci , vol.32 , pp. 1289-1297
    • Coulaloglou, C.A.1    Tavlarides, L.L.2
  • 8
    • 0028384148 scopus 로고
    • Breakage and coalescence models for drops in turbulent dispersions
    • Tsouris C, Tavlarides L. Breakage and coalescence models for drops in turbulent dispersions. AIChE J. 1994;40:395-406.
    • (1994) AIChE J , vol.40 , pp. 395-406
    • Tsouris, C.1    Tavlarides, L.2
  • 9
    • 0032489066 scopus 로고    scopus 로고
    • A population balance model for disperse systems: drop size distribution
    • Chen Z, Prüss J, Warnecke HJ. A population balance model for disperse systems: drop size distribution in emulsion. Chem Eng Sci. 1998;53(5):1059-1066.
    • (1998) in emulsion. Chem Eng Sci , vol.53 , Issue.5 , pp. 1059-1066
    • Chen, Z.1    Prüss, J.2    Warnecke, H.J.3
  • 10
    • 84855444066 scopus 로고    scopus 로고
    • Determination of breakage rates using single drop experiments
    • Maaβ 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
    • Maaβ, S.1    Kraume, M.2
  • 11
    • 0025500919 scopus 로고
    • Bubble coalescence and breakup in air-sparged bubble column
    • Prince MJ, Blanch HW. Bubble coalescence and breakup in air-sparged bubble column. 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
  • 12
    • 0001438883 scopus 로고    scopus 로고
    • On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency
    • Martínez-Bazán C, Montañés 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
    • Martínez-Bazán, C.1    Montañés, J.L.2    Lasheras, J.C.3
  • 13
    • 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
    • Martínez-Bazán C, Montañés 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
    • Martínez-Bazán, C.1    Montañés, J.L.2    Lasheras, J.C.3
  • 14
    • 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
  • 15
    • 0035250695 scopus 로고    scopus 로고
    • A transport equation for the interfacial area density applied to bubble column
    • Lehr F, Mewes D. A transport equation for the interfacial area density applied to bubble column. Chem Eng Sci. 2001;56:1159-1166.
    • (2001) Chem Eng Sci. , vol.56 , pp. 1159-1166
    • Lehr, F.1    Mewes, D.2
  • 16
    • 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;48:2426-2443.
    • (2002) AIChE J , vol.48 , pp. 2426-2443
    • Lehr, F.1    Millies, M.2    Mewes, D.3
  • 17
    • 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;58:4629-4637.
    • (2003) Chem Eng Sci , vol.58 , pp. 4629-4637
    • Wang, T.F.1    Wang, J.F.2    Jin, Y.3
  • 18
    • 84925046289 scopus 로고    scopus 로고
    • A unified theoretical model for breakup of bubbles and droplets in turbulent flows
    • 2015;61(4):1391-1403.
    • Xing CT, Wang TF, Guo KY, Wang JF. A unified theoretical model for breakup of bubbles and droplets in turbulent flows. AIChE J. 2015;61(4):1391-1403.
    • AIChE J
    • Xing, C.T.1    Wang, T.F.2    Guo, K.Y.3    Wang, J.F.4
  • 19
    • 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;62:109-115.
    • (2007) Chem Eng Sci , vol.62 , pp. 109-115
    • Zhao, H.1    Ge, W.2
  • 20
    • 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;57:3251-3267.
    • (2002) Chem Eng Sci , vol.57 , pp. 3251-3267
    • Hagesaether, L.1    Jakobsen, H.A.2    Svendsen, H.F.3
  • 21
    • 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;52:2020-2030.
    • (2006) AIChE J , vol.52 , pp. 2020-2030
    • Andersson, R.1    Andersson, B.2
  • 22
    • 34848910170 scopus 로고    scopus 로고
    • Drop breakage in liquid-liquid stirred dispersions: modelling of single drop breakage
    • Zaccone A, Gäler A, Maaß S, Kraume M. Drop breakage in liquid-liquid stirred dispersions: modelling of single drop breakage. Chem Eng Sci. 2007;62:6297-6307.
    • (2007) Chem Eng Sci , vol.62 , pp. 6297-6307
    • Zaccone, A.1    Gäler, A.2    Maaß, S.3    Kraume, M.4
  • 23
    • 0020797207 scopus 로고
    • Scale effect on breakup process in liquid-liquid agitated tanks
    • Konno M, Aoki M, Saito S. Scale effect on breakup process in liquid-liquid agitated tanks. J Chem Eng Jpn. 1982;16(4):312-319.
    • (1982) J Chem Eng Jpn , vol.16 , Issue.4 , pp. 312-319
    • Konno, M.1    Aoki, M.2    Saito, S.3
  • 25
    • 27444437044 scopus 로고    scopus 로고
    • Drop break-up in turbulent pipe flow downstream of a restriction
    • Galinat S, Masbernat O, Guiraud P, Dalmazzone C. Drop break-up in turbulent pipe flow downstream of a restriction. Chem Eng Sci. 2005;60:6511-6528.
    • (2005) Chem Eng Sci , vol.60 , pp. 6511-6528
    • Galinat, S.1    Masbernat, O.2    Guiraud, P.3    Dalmazzone, C.4
  • 26
    • 84883007133 scopus 로고    scopus 로고
    • A novel theoretical model of breakage rate and daughter size distribution for droplet in turbulent flows
    • Han LC, Gong SG, Li YQ, Ai QH, Luo HA, Liu ZF, Liu YJ. A novel theoretical model of breakage rate and daughter size distribution for droplet in turbulent flows. Chem Eng Sci. 2013;102:186-199.
    • (2013) Chem Eng Sci , vol.102 , pp. 186-199
    • Han, L.C.1    Gong, S.G.2    Li, Y.Q.3    Ai, Q.H.4    Luo, H.A.5    Liu, Z.F.6    Liu, Y.J.7
  • 27
    • 0030173322 scopus 로고    scopus 로고
    • Statistics of multiple particle breakage
    • Hill PJ, Ng KM. Statistics of multiple particle breakage. AIChE J. 1996;42:1600-1611.
    • (1996) AIChE J , vol.42 , pp. 1600-1611
    • Hill, P.J.1    Ng, K.M.2
  • 28
    • 0037152845 scopus 로고    scopus 로고
    • A moment methodology for coagulation and breakage problems. Part 3-generalized daughter distribution function
    • Diemer RB, Olson JH. A moment methodology for coagulation and breakage problems. Part 3-generalized daughter distribution function. Chem Eng Sci. 2002;57:4187-4198.
    • (2002) Chem Eng Sci , vol.57 , pp. 4187-4198
    • Diemer, R.B.1    Olson, J.H.2
  • 29
    • 0032183804 scopus 로고
    • Oscillations and breakup of bubble immersed in turbulent field
    • Risso F, Fabre J. Oscillations and breakup of bubble immersed in turbulent field. J Fluid Mech. 1988;372:323-355.
    • (1988) J Fluid Mech , vol.372 , pp. 323-355
    • Risso, F.1    Fabre, J.2
  • 30
    • 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
  • 31
    • 0014819677 scopus 로고
    • An eddy cell model of mass transfer into the surface of a turbulent liquid
    • Lamont JC, Scott DS. An eddy cell model of mass transfer into the surface of a turbulent liquid. AIChE J. 1970;16(4):513-519.
    • (1970) AIChE J , vol.16 , Issue.4 , pp. 513-519
    • Lamont, J.C.1    Scott, D.S.2
  • 32
    • 0022787664 scopus 로고
    • Mass transfer in eddies close to air-water interface
    • Luk S, Lee YH. Mass transfer in eddies close to air-water interface. AIChE J. 1986;32(9):1546-1554.
    • (1986) AIChE J , vol.32 , Issue.9 , pp. 1546-1554
    • Luk, S.1    Lee, Y.H.2
  • 33
    • 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
  • 34
    • 67649434198 scopus 로고    scopus 로고
    • Study of high-Reynolds number isotropic turbulence by direct numerical simulation
    • Ishihara T, Gotoh T, Kaneda Y. Study of high-Reynolds number isotropic turbulence by direct numerical simulation. Annu Rev Fluid Mech. 2009;41:165-180.
    • (2009) Annu Rev Fluid Mech , vol.41 , pp. 165-180
    • Ishihara, T.1    Gotoh, T.2    Kaneda, Y.3
  • 35
    • 0016462499 scopus 로고
    • New York: McGraw-Hill
    • Hinze JO. Turbulence. New York: McGraw-Hill, 1975.
    • (1975) Turbulence
    • Hinze, J.O.1
  • 36
    • 0000494501 scopus 로고
    • Energy spectrum of isotropic turbulence at large wavenumbers
    • Panchev S, Kesich D. Energy spectrum of isotropic turbulence at large wavenumbers. C R Acad Bulg Sci. 1969;22:627-630.
    • (1969) C R Acad Bulg Sci , vol.22 , pp. 627-630
    • Panchev, S.1    Kesich, D.2
  • 37
    • 0001379201 scopus 로고
    • Progress in statistical theory of turbulence
    • Von-Karman T. Progress in statistical theory of turbulence. Proc Natl Acad Sci USA. 1948;116:43-52.
    • (1948) Proc Natl Acad Sci USA , vol.116 , pp. 43-52
    • Von-Karman, T.1
  • 38
    • 18544411639 scopus 로고    scopus 로고
    • Pressure spectrum in homogeneous turbulence
    • Gotoh T, Fukayama D. Pressure spectrum in homogeneous turbulence. Phys Rev Lett. 2001;86:3775-3778.
    • (2001) Phys Rev Lett , vol.86 , pp. 3775-3778
    • Gotoh, T.1    Fukayama, D.2
  • 39
    • 0036504170 scopus 로고    scopus 로고
    • Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation
    • Gotoh T, Fukayama D, Nakano T. Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation. Phys Fluids. 2002;14:1065-1081.
    • (2002) Phys Fluids , vol.14 , pp. 1065-1081
    • Gotoh, T.1    Fukayama, D.2    Nakano, T.3
  • 40
    • 0029486229 scopus 로고
    • On the universality of the Kolmogorov constant
    • Sreenivasan KR. On the universality of the Kolmogorov constant. Phys Fluids. 1995;7:2778-2784.
    • (1995) Phys Fluids , vol.7 , pp. 2778-2784
    • Sreenivasan, K.R.1
  • 41
    • 84931594398 scopus 로고    scopus 로고
    • Counting methods and equipment for mean value measurements in turbulence research, Technical Report No. 3037. Washington DC: National Advisory Committee for Aeronautics, 1953.
    • Liepmann HW, Robinson MS. Counting methods and equipment for mean value measurements in turbulence research, Technical Report No. 3037. Washington DC: National Advisory Committee for Aeronautics, 1953.
    • Liepmann, H.W.1    Robinson, M.S.2
  • 42
    • 0027596089 scopus 로고
    • The flow field produced by a pitched blade turbine: characterization of the turbulence and estimation of the dissipation rate
    • Kresta SM, Wood PE. The flow field produced by a pitched blade turbine: characterization of the turbulence and estimation of the dissipation rate. Chem Eng Sci. 1993;48(10):1761-1774.
    • (1993) Chem Eng Sci , vol.48 , Issue.10 , pp. 1761-1774
    • Kresta, S.M.1    Wood, P.E.2
  • 43
    • 0015613815 scopus 로고
    • The influence of molecular diffusion on mass transfer between turbulent liquids
    • McManamey WJ, Davies JT, Woollen JM, Coe JR. The influence of molecular diffusion on mass transfer between turbulent liquids. Chem Eng Sci. 1973;28(4):1061-1069.
    • (1973) Chem Eng Sci , vol.28 , Issue.4 , pp. 1061-1069
    • McManamey, W.J.1    Davies, J.T.2    Woollen, J.M.3    Coe, J.R.4
  • 44
    • 84903751699 scopus 로고    scopus 로고
    • Influence of energy spectrum distribution on drop breakage in turbulent flows
    • Han LC, Gong SG, Li YQ, Gao NN, Fu J, Luo HA, Liu ZF. Influence of energy spectrum distribution on drop breakage in turbulent flows. Chem Eng Sci. 2014;117:55-70.
    • (2014) Chem Eng Sci , vol.117 , pp. 55-70
    • Han, L.C.1    Gong, S.G.2    Li, Y.Q.3    Gao, N.N.4    Fu, J.5    Luo, H.A.6    Liu, Z.F.7
  • 45
    • 84907936030 scopus 로고    scopus 로고
    • Number density of turbulent vortices in the entire energy spectrum
    • Ghasempour F, Andersson R, Andersson B, Bergstrom DJ. Number density of turbulent vortices in the entire energy spectrum. AIChE J. 2014;60(11):3989-3995.
    • (2014) AIChE J , vol.60 , Issue.11 , pp. 3989-3995
    • Ghasempour, F.1    Andersson, R.2    Andersson, B.3    Bergstrom, D.J.4
  • 46
    • 0023831920 scopus 로고
    • Drop breakup in a turbulent flow-I. Conceptual and modeling considerations
    • Clark MM. Drop breakup in a turbulent flow-I. Conceptual and modeling considerations. Chem Eng Sci. 1987;43(3):671-679.
    • (1987) Chem Eng Sci , vol.43 , Issue.3 , pp. 671-679
    • Clark, M.M.1
  • 47
    • 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;52:2031-2038.
    • (2006) AIChE J , vol.52 , pp. 2031-2038
    • Andersson, R.1    Andersson, B.2
  • 48
    • 0026910215 scopus 로고
    • A new model for the breakage frequency of drops in turbulent stirred dispersions
    • Nambiar DKR, Kumar R, Das TR, Gandhi KS. A new model for the breakage frequency of drops in turbulent stirred dispersions. Chem Eng Sci. 1992;47(12):1989-3002.
    • (1992) Chem Eng Sci. , vol.47 , Issue.12 , pp. 1989-3002
    • Nambiar, D.K.R.1    Kumar, R.2    Das, T.R.3    Gandhi, K.S.4
  • 49
    • 79952610926 scopus 로고    scopus 로고
    • A multi-scale theoretical model for gas-liquid interface mass transfer based on the wide spectrum eddy contact concept
    • Han LC, Luo HA, Liu YJ, You KY, Liu PL. A multi-scale theoretical model for gas-liquid interface mass transfer based on the wide spectrum eddy contact concept. AIChE J. 2011;57(4):886-896.
    • (2011) AIChE J , vol.57 , Issue.4 , pp. 886-896
    • Han, L.C.1    Luo, H.A.2    Liu, Y.J.3    You, K.Y.4    Liu, P.L.5
  • 50
    • 79961199086 scopus 로고    scopus 로고
    • Analysis of particle strain in stirred bioreactors by drop breakage investigations
    • Maaß S, Buscher S, Hermann S, Kraume M. Analysis of particle strain in stirred bioreactors by drop breakage investigations. Biotechnol J. 2011;6(8):979-992.
    • (2011) Biotechnol J , vol.6 , Issue.8 , pp. 979-992
    • Maaß, S.1    Buscher, S.2    Hermann, S.3    Kraume, M.4
  • 51
    • 0037352195 scopus 로고    scopus 로고
    • Experimental analysis of hydrodynamics in a radially agitated tank
    • Escudié R, Liné A. Experimental analysis of hydrodynamics in a radially agitated tank. AIChE J. 2003;49(3):585-603.
    • (2003) AIChE J , vol.49 , Issue.3 , pp. 585-603
    • Escudié, R.1    Liné, A.2
  • 52
    • 2942558592 scopus 로고    scopus 로고
    • On the quantification of energy dissipation in the impeller stream of a stirred vessel from fluctuating velocity gradient measurements
    • Baldi S, Yianneskis M. On the quantification of energy dissipation in the impeller stream of a stirred vessel from fluctuating velocity gradient measurements. Chem Eng Sci. 2004;59:2659-2671.
    • (2004) Chem Eng Sci , vol.59 , pp. 2659-2671
    • Baldi, S.1    Yianneskis, M.2
  • 53
    • 0030128282 scopus 로고    scopus 로고
    • On the solution of population balance equations by discretization-I: a fixed pivot technique
    • Kumar S, Ramkrishna D. On the solution of population balance equations by discretization-I: a fixed pivot technique. Chem Eng Sci. 1997;51(8):1311-1332.
    • (1997) Chem Eng Sci , vol.51 , Issue.8 , pp. 1311-1332
    • Kumar, S.1    Ramkrishna, D.2
  • 54
    • 0022094524 scopus 로고
    • Turbulentflow in stirred tanks. Part I: turbulent flow in the turbine impeller region
    • Placek J, Tavlarides LL. Turbulentflow in stirred tanks. Part I: turbulent flow in the turbine impeller region. AIChE J. 1985;31:11-13.
    • (1985) AIChE J , vol.31 , pp. 11-13
    • Placek, J.1    Tavlarides, L.L.2


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