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Volumn 64, Issue 4, 2009, Pages 742-752

Solution of the population balance equation using the sectional quadrature method of moments (SQMOM)

Author keywords

Agglomeration; Model reduction; Population balance; Quadrature methods; Sectional methods; Simulation

Indexed keywords

AGGLOMERATION; NUMBER THEORY; POPULATION STATISTICS;

EID: 58949095935     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2008.05.006     Document Type: Article
Times cited : (137)

References (25)
  • 1
    • 0037118269 scopus 로고    scopus 로고
    • Simulation of the population balances for liquid-liquid systems in a nonideal stirred tank: Part 2-parameter fitting and the use of multiblock model for dense dispersions
    • Alopaeus V., Koskinen J., Keskinen K.I., and Majander J. Simulation of the population balances for liquid-liquid systems in a nonideal stirred tank: Part 2-parameter fitting and the use of multiblock model for dense dispersions. Chemical Engineering Science 57 (2002) 1815-1825
    • (2002) Chemical Engineering Science , vol.57 , pp. 1815-1825
    • Alopaeus, V.1    Koskinen, J.2    Keskinen, K.I.3    Majander, J.4
  • 2
    • 2442478533 scopus 로고    scopus 로고
    • Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid-liquid dispersions
    • Attarakih M.M., Bart H.-J., and Faqir N.M. Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid-liquid dispersions. Chemical Engineering Science 59 (2004) 2567-2592
    • (2004) Chemical Engineering Science , vol.59 , pp. 2567-2592
    • Attarakih, M.M.1    Bart, H.-J.2    Faqir, N.M.3
  • 3
    • 2442424221 scopus 로고    scopus 로고
    • Solution of the droplet breakage equation for interacting liquid-liquid dispersions: a conservative discretization approach
    • Attarakih M.M., Bart H.-J., and Faqir N.M. Solution of the droplet breakage equation for interacting liquid-liquid dispersions: a conservative discretization approach. Chemical Engineering Science 59 (2004) 2547-2565
    • (2004) Chemical Engineering Science , vol.59 , pp. 2547-2565
    • Attarakih, M.M.1    Bart, H.-J.2    Faqir, N.M.3
  • 4
    • 25644439975 scopus 로고    scopus 로고
    • Numerical solution of the bivariate population balance equation for the interacting hydrodynamics and mass transfer in liquid-liquid extraction columns
    • Attarakih M.M., Bart H.-J., and Faqir N.M. Numerical solution of the bivariate population balance equation for the interacting hydrodynamics and mass transfer in liquid-liquid extraction columns. Chemical Engineering Science 61 (2006) 113-123
    • (2006) Chemical Engineering Science , vol.61 , pp. 113-123
    • Attarakih, M.M.1    Bart, H.-J.2    Faqir, N.M.3
  • 5
    • 18644366719 scopus 로고    scopus 로고
    • Process systems modelling and applications in granulation: A review
    • Cameron I.T., Wang F.Y., Immanuel C.D., and Stepanek F. Process systems modelling and applications in granulation: A review. Chem. Eng. Sci. 60 (2005) 3723-3750
    • (2005) Chem. Eng. Sci. , vol.60 , pp. 3723-3750
    • Cameron, I.T.1    Wang, F.Y.2    Immanuel, C.D.3    Stepanek, F.4
  • 6
    • 0031394088 scopus 로고    scopus 로고
    • The interaction of solute transfer, Contaminants and drop break-up in rotating disc contactors: part II. The coupling of mass transfer and breakage process via interfacial tension
    • Cauwenberg V., Degreve J., and Slater M.J. The interaction of solute transfer, Contaminants and drop break-up in rotating disc contactors: part II. The coupling of mass transfer and breakage process via interfacial tension. Canadian Journal of Chemical Engineering 75 (1997) 1056-1066
    • (1997) Canadian Journal of Chemical Engineering , vol.75 , pp. 1056-1066
    • Cauwenberg, V.1    Degreve, J.2    Slater, M.J.3
  • 7
    • 0017674758 scopus 로고
    • Description of interaction processes in agitated liquid-liquid dispersions
    • Coulaloglou C.A., and Tavlarides L.L. Description of interaction processes in agitated liquid-liquid dispersions. Chemical Engineering Science 32 (1977) 1289-1297
    • (1977) Chemical Engineering Science , vol.32 , pp. 1289-1297
    • Coulaloglou, C.A.1    Tavlarides, L.L.2
  • 8
    • 10244226620 scopus 로고    scopus 로고
    • A generalized approach to model oxygen transfer in bioreactors using population balances and computational fluid dynamics
    • Dhanasekharan K.M., Sanyal J., Jain A., and Haidari A. A generalized approach to model oxygen transfer in bioreactors using population balances and computational fluid dynamics. Chemical Engineering Science 60 (2005) 213-218
    • (2005) Chemical Engineering Science , vol.60 , pp. 213-218
    • Dhanasekharan, K.M.1    Sanyal, J.2    Jain, A.3    Haidari, A.4
  • 9
    • 58949099331 scopus 로고    scopus 로고
    • Drumm, C., Tiwari, S., Attarakih, M.M., Kuhnert, J., Bart, H.-J., 2007. CFD-PBM coupled model using the finite point set method and the SQMOM, International Solvent Extraction Conference (ISEC), submitted for publication.
    • Drumm, C., Tiwari, S., Attarakih, M.M., Kuhnert, J., Bart, H.-J., 2007. CFD-PBM coupled model using the finite point set method and the SQMOM, International Solvent Extraction Conference (ISEC), submitted for publication.
  • 10
    • 33845510874 scopus 로고
    • Numerical solution of the dynamic equation for particulate systems
    • Gelbard F., and Seinfeld J.H. Numerical solution of the dynamic equation for particulate systems. Journal of Computational Physics 28 (1978) 357-375
    • (1978) Journal of Computational Physics , vol.28 , pp. 357-375
    • Gelbard, F.1    Seinfeld, J.H.2
  • 12
    • 0000072192 scopus 로고
    • Error bounds in equilibrium statistical mechanics
    • Gordon R.G. Error bounds in equilibrium statistical mechanics. Journal of Mathematical Physics 9 (1968) 655-663
    • (1968) Journal of Mathematical Physics , vol.9 , pp. 655-663
    • Gordon, R.G.1
  • 13
    • 0030127313 scopus 로고    scopus 로고
    • On the solution of population balance equations by discretization-II. A moving pivot technique
    • Kumar S., and Ramkrishna D. On the solution of population balance equations by discretization-II. A moving pivot technique. Chemical Engineering Science 51 8 (1996) 1333-1342
    • (1996) Chemical Engineering Science , vol.51 , Issue.8 , pp. 1333-1342
    • Kumar, S.1    Ramkrishna, D.2
  • 14
    • 58949103816 scopus 로고    scopus 로고
    • Lo, S., 2000. Application of population balance to CFD modelling of gas-liquid reactors. In: Proceedings of Trends in Numerical and Physical Modelling for Industrial Multiphase Flows, Corsica, France.
    • Lo, S., 2000. Application of population balance to CFD modelling of gas-liquid reactors. In: Proceedings of Trends in Numerical and Physical Modelling for Industrial Multiphase Flows, Corsica, France.
  • 15
    • 10044271895 scopus 로고    scopus 로고
    • Solution of the population balance equations using the direct quadrature method of moments
    • Marchisio L.D., and Fox R.O. Solution of the population balance equations using the direct quadrature method of moments. Journal of Aerosol Science 36 (2005) 43-73
    • (2005) Journal of Aerosol Science , vol.36 , pp. 43-73
    • Marchisio, L.D.1    Fox, R.O.2
  • 16
    • 0038263890 scopus 로고    scopus 로고
    • Analytical solution for a population balance equation with aggregation and fragmentation
    • McCoy B.J., and Madras G. Analytical solution for a population balance equation with aggregation and fragmentation. Chem. Eng. Sci. 58 (2003) 3049-3051
    • (2003) Chem. Eng. Sci. , vol.58 , pp. 3049-3051
    • McCoy, B.J.1    Madras, G.2
  • 17
    • 0031214085 scopus 로고    scopus 로고
    • Description of aerosol dynamics by the quadrature method of moments
    • McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Science and Technology 27 (1997) 255-265
    • (1997) Aerosol Science and Technology , vol.27 , pp. 255-265
    • McGraw, R.1
  • 18
    • 0036868379 scopus 로고    scopus 로고
    • Comparison of numerical methods for the simulation of dispersed phase systems
    • Motz S., Mitrovic A., and Gilles E.-D. Comparison of numerical methods for the simulation of dispersed phase systems. Chemical Engineering Science 57 (2002) 4329-4344
    • (2002) Chemical Engineering Science , vol.57 , pp. 4329-4344
    • Motz, S.1    Mitrovic, A.2    Gilles, E.-D.3
  • 19
    • 0036027980 scopus 로고    scopus 로고
    • The generalized approximation method for modeling coagulation kinetics-part 1: justification and implementation of method
    • Piskunov V.N., and Golubev A.I. The generalized approximation method for modeling coagulation kinetics-part 1: justification and implementation of method. Journal of Aerosol Science 33 (2002) 51-63
    • (2002) Journal of Aerosol Science , vol.33 , pp. 51-63
    • Piskunov, V.N.1    Golubev, A.I.2
  • 22
    • 0037872052 scopus 로고    scopus 로고
    • Multivariate population balances via moment and Monte Carlo simulation methods: an important sol reaction engineering bivariate example and mixed moments for the estimation of deposition, scavenging, and optical properties for populations of nonspherical suspended particles
    • Rosner D.E., McGraw R., and Tandon P. Multivariate population balances via moment and Monte Carlo simulation methods: an important sol reaction engineering bivariate example and mixed moments for the estimation of deposition, scavenging, and optical properties for populations of nonspherical suspended particles. Industrial & Engineering Chemistry Research 42 (2003) 2699-2711
    • (2003) Industrial & Engineering Chemistry Research , vol.42 , pp. 2699-2711
    • Rosner, D.E.1    McGraw, R.2    Tandon, P.3
  • 24
    • 33646725104 scopus 로고    scopus 로고
    • Multi-phase-multi-size-group model for the inclusion of population balances into the CFD simulation of gas-liquid bubbly flows
    • Sha Z., Laari A., and Turunen I. Multi-phase-multi-size-group model for the inclusion of population balances into the CFD simulation of gas-liquid bubbly flows. Chemical Engineering & Technology 29 (2006) 550-559
    • (2006) Chemical Engineering & Technology , vol.29 , pp. 550-559
    • Sha, Z.1    Laari, A.2    Turunen, I.3
  • 25
    • 16544389002 scopus 로고    scopus 로고
    • Representation of generally mixed multivariate aerosols by the quadrature method of moments: I. Statistical foundation
    • Yoon C., and McGraw R. Representation of generally mixed multivariate aerosols by the quadrature method of moments: I. Statistical foundation. Journal of Aerosol Science 35 5 (2004) 561-576
    • (2004) Journal of Aerosol Science , vol.35 , Issue.5 , pp. 561-576
    • Yoon, C.1    McGraw, R.2


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