메뉴 건너뛰기




Volumn 68, Issue 1, 2012, Pages 469-480

CFD-PBE simulation of premixed continuous precipitation incorporating nucleation, growth and aggregation in a stirred tank with multi-class method

Author keywords

Crystal size distribution; Multi class method; Population balance; Precipitation; Simulation; Turbulence

Indexed keywords

AGGREGATION RATE; AGITATION SPEED; BIMODAL DISTRIBUTION; BIRTH RATES; CONTINUOUS PRECIPITATION; CRYSTAL SIZE DISTRIBUTIONS; EXPERIMENTAL MEASUREMENTS; FEED CONCENTRATION; INLET CONCENTRATION; MEAN RESIDENCE TIME; MEAN SIZE; MODEL PREDICTION; MULTI-CLASS METHOD; MULTICLASS METHODS; NOVEL PROCESS; PEAK VALUES; POPULATION BALANCE EQUATION; POPULATION BALANCES; PREMIXED; RESIDENCE TIME; SIMULATION; SIZE RANGES; STIRRED TANK;

EID: 81055157542     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.10.032     Document Type: Article
Times cited : (54)

References (46)
  • 1
    • 0033133818 scopus 로고    scopus 로고
    • A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation
    • Aoun M., Plasari E., David R., Villermaux J. A simultaneous determination of nucleation and growth rates from batch spontaneous precipitation. Chem. Eng. Sci. 1999, 54(9):1161-1180.
    • (1999) Chem. Eng. Sci. , vol.54 , Issue.9 , pp. 1161-1180
    • Aoun, M.1    Plasari, E.2    David, R.3    Villermaux, J.4
  • 2
    • 34250898619 scopus 로고    scopus 로고
    • Double-feed semibatch precipitation effects of mixing
    • Bałdyga J., Makowski Ł., Orciuch W. Double-feed semibatch precipitation effects of mixing. Chem. Eng. Res. Des. 2007, 85(5):745-752.
    • (2007) Chem. Eng. Res. Des. , vol.85 , Issue.5 , pp. 745-752
    • Bałdyga, J.1    Makowski, Ł.2    Orciuch, W.3
  • 3
    • 0029278405 scopus 로고
    • Mixing-precipitation model with application to double feed semibatch precipitation
    • Baldyga J., Podgorska W., Pohorecki R. Mixing-precipitation model with application to double feed semibatch precipitation. Chem. Eng. Sci. 1995, 50(8):1281-1300.
    • (1995) Chem. Eng. Sci. , vol.50 , Issue.8 , pp. 1281-1300
    • Baldyga, J.1    Podgorska, W.2    Pohorecki, R.3
  • 4
    • 84985566445 scopus 로고
    • Thermodynamic properties of strong electrolytes in aqueous solutions
    • Bromley L.A. Thermodynamic properties of strong electrolytes in aqueous solutions. AIChE J. 1973, 19:313-320.
    • (1973) AIChE J. , vol.19 , pp. 313-320
    • Bromley, L.A.1
  • 5
    • 68849091847 scopus 로고    scopus 로고
    • CFD modeling of nucleation, growth, aggregation, and breakage in continuous precipitation of barium sulfate in a stirred tank
    • Cheng J.C., Yang C., Mao Z.-S., Zhao C.J. CFD modeling of nucleation, growth, aggregation, and breakage in continuous precipitation of barium sulfate in a stirred tank. Ind. Eng. Chem. Res. 2009, 48(15):6992-7003.
    • (2009) Ind. Eng. Chem. Res. , vol.48 , Issue.15 , pp. 6992-7003
    • Cheng, J.C.1    Yang, C.2    Mao, Z.-S.3    Zhao, C.J.4
  • 6
    • 47549093363 scopus 로고    scopus 로고
    • Population balance modeling of bubbly flows considering the hydrodynamics and thermomechanical processes
    • Cheung S.C.P., Yeoh G.H., Tu J.Y. Population balance modeling of bubbly flows considering the hydrodynamics and thermomechanical processes. AIChE J. 2008, 54(7):1689-1710.
    • (2008) AIChE J. , vol.54 , Issue.7 , pp. 1689-1710
    • Cheung, S.C.P.1    Yeoh, G.H.2    Tu, J.Y.3
  • 7
    • 0037189455 scopus 로고    scopus 로고
    • A moment methodology for coagulation and breakage problems: part 2-moment models and distribution reconstruction
    • Diemer R.B., Olson J.H. A moment methodology for coagulation and breakage problems: part 2-moment models and distribution reconstruction. Chem. Eng. Sci. 2002, 57:2211-2228.
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 2211-2228
    • Diemer, R.B.1    Olson, J.H.2
  • 8
    • 0035938056 scopus 로고    scopus 로고
    • On modelling continuous agglomerative crystal precipitation via Monte Carlo simulation
    • Falope G.O., Jones A.G., Zauner R. On modelling continuous agglomerative crystal precipitation via Monte Carlo simulation. Chem. Eng. Sci. 2001, 56:2567-2574.
    • (2001) Chem. Eng. Sci. , vol.56 , pp. 2567-2574
    • Falope, G.O.1    Jones, A.G.2    Zauner, R.3
  • 9
    • 10244232991 scopus 로고    scopus 로고
    • Numerical simulation of the Smoluchowski coagulation equation
    • Filbet F., Laurencot P. Numerical simulation of the Smoluchowski coagulation equation. SIAM J. Sci. Comput. 2004, 25:2004-2028.
    • (2004) SIAM J. Sci. Comput. , vol.25 , pp. 2004-2028
    • Filbet, F.1    Laurencot, P.2
  • 11
    • 8544278921 scopus 로고    scopus 로고
    • High resolution algorithms for multidimensional population balance equations
    • Gunawan R., Fusman I., Braatz R.D. High resolution algorithms for multidimensional population balance equations. AIChE J. 2004, 50:2738-2749.
    • (2004) AIChE J. , vol.50 , pp. 2738-2749
    • Gunawan, R.1    Fusman, I.2    Braatz, R.D.3
  • 12
    • 34547929425 scopus 로고    scopus 로고
    • Nonlinear dynamics of continuous precipitation reactors: a model based analysis
    • Heineken W., Flockerzi D., Steyer C., Voigt A., Sundmacher K. Nonlinear dynamics of continuous precipitation reactors: a model based analysis. Chem. Eng. Sci. 2007, 62:4896-4902.
    • (2007) Chem. Eng. Sci. , vol.62 , pp. 4896-4902
    • Heineken, W.1    Flockerzi, D.2    Steyer, C.3    Voigt, A.4    Sundmacher, K.5
  • 13
    • 0024104856 scopus 로고
    • Discretized population balance for nucleation, growth, and aggregation
    • Hounslow M.J., Ryall R.L., Marshall V.R. Discretized population balance for nucleation, growth, and aggregation. AIChE J. 1988, 34(11):1821-1832.
    • (1988) AIChE J. , vol.34 , Issue.11 , pp. 1821-1832
    • Hounslow, M.J.1    Ryall, R.L.2    Marshall, V.R.3
  • 14
    • 50549203562 scopus 로고
    • Some problems in particle technology
    • Hulburt H.M., Katz S. Some problems in particle technology. Chem. Eng. Sci. 1964, 19:555-574.
    • (1964) Chem. Eng. Sci. , vol.19 , pp. 555-574
    • Hulburt, H.M.1    Katz, S.2
  • 15
    • 0037445409 scopus 로고    scopus 로고
    • CFD modelling of continuous precipitation of barium sulphate in a stirred tank
    • Jaworski Z., Nienow A.W. CFD modelling of continuous precipitation of barium sulphate in a stirred tank. Chem. Eng. J. 2003, 91:167-174.
    • (2003) Chem. Eng. J. , vol.91 , pp. 167-174
    • Jaworski, Z.1    Nienow, A.W.2
  • 16
    • 34247589861 scopus 로고    scopus 로고
    • Techniques for the reconstruction of a distribution from a finite number of its moments
    • John V., Angelov I., Öncül A.A., Thévenin D. Techniques for the reconstruction of a distribution from a finite number of its moments. Chem. Eng. Sci. 2007, 62:2890-2904.
    • (2007) Chem. Eng. Sci. , vol.62 , pp. 2890-2904
    • John, V.1    Angelov, I.2    Öncül, A.A.3    Thévenin, D.4
  • 17
    • 0037104865 scopus 로고    scopus 로고
    • Simulation, estimation and control of size distribution in aerosol processes with simultaneous reaction, nucleation, condensation and coagulation
    • Kalani A., Christofides P.D. Simulation, estimation and control of size distribution in aerosol processes with simultaneous reaction, nucleation, condensation and coagulation. Comput. Chem. Eng. 2002, 26(7-8):1153-1169.
    • (2002) Comput. Chem. Eng. , vol.26 , Issue.7-8 , pp. 1153-1169
    • Kalani, A.1    Christofides, P.D.2
  • 18
    • 33747291306 scopus 로고    scopus 로고
    • Precipitation of barium sulfate: experimental investigation about the influence of supersaturation and free lattice ion ratio on particle formation
    • Kucher M., Babic D., Kind M. Precipitation of barium sulfate: experimental investigation about the influence of supersaturation and free lattice ion ratio on particle formation. Chem. Eng. Process. 2006, 45:900-907.
    • (2006) Chem. Eng. Process. , vol.45 , pp. 900-907
    • Kucher, M.1    Babic, D.2    Kind, M.3
  • 19
    • 33644988295 scopus 로고    scopus 로고
    • Improved accuracy and convergence of discretized population balance for aggregation: the cell average technique
    • Kumar J., Peglow M., Warnecke G., Heinrich S., Morl L. Improved accuracy and convergence of discretized population balance for aggregation: the cell average technique. Chem. Eng. Sci. 2006, 61(10):3327-3342.
    • (2006) Chem. Eng. Sci. , vol.61 , Issue.10 , pp. 3327-3342
    • Kumar, J.1    Peglow, M.2    Warnecke, G.3    Heinrich, S.4    Morl, L.5
  • 20
    • 0030128282 scopus 로고    scopus 로고
    • On the solution of population balance by discretization I. A fixed pivot technique
    • Kumar S., Ramkrishna D. On the solution of population balance by discretization I. A fixed pivot technique. Chem. Eng. Sci. 1996, 51:1311-1332.
    • (1996) Chem. Eng. Sci. , vol.51 , pp. 1311-1332
    • Kumar, S.1    Ramkrishna, D.2
  • 21
    • 0031553395 scopus 로고    scopus 로고
    • On the solution of population balance equations by discretization-III. Nucleation, growth and aggregation of particles
    • Kumar S., Ramkrishna D. On the solution of population balance equations by discretization-III. Nucleation, growth and aggregation of particles. Chem. Eng. Sci. 1997, 52:4659-4679.
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 4659-4679
    • Kumar, S.1    Ramkrishna, D.2
  • 22
    • 0035667765 scopus 로고    scopus 로고
    • Adaptive mesh method for the simulation of crystallization processes including agglomeration and breakage: the potassium sulfate system
    • Lee G., Yoon E.S., Lim Y.-I., Le Lann J.M., Meyer X.-M., Joulia X. Adaptive mesh method for the simulation of crystallization processes including agglomeration and breakage: the potassium sulfate system. Ind. Eng. Chem. Res. 2001, 40:6228-6235.
    • (2001) Ind. Eng. Chem. Res. , vol.40 , pp. 6228-6235
    • Lee, G.1    Yoon, E.S.2    Lim, Y.-I.3    Le Lann, J.M.4    Meyer, X.-M.5    Joulia, X.6
  • 23
    • 0037189463 scopus 로고    scopus 로고
    • Process simulation of gas-to-particle-synthesis via population balances: investigation of three models
    • Mühlenweg H., Gutsch A., Schild A., Pratsinis S.E. Process simulation of gas-to-particle-synthesis via population balances: investigation of three models. Chem. Eng. Sci. 2002, 57:2305-2322.
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 2305-2322
    • Mühlenweg, H.1    Gutsch, A.2    Schild, A.3    Pratsinis, S.E.4
  • 24
    • 0037155742 scopus 로고    scopus 로고
    • Efficient solution of population balance equations with discontinuities by finite elements
    • Mahoney A.W., Ramkrishna D. Efficient solution of population balance equations with discontinuities by finite elements. Chem. Eng. Sci. 2002, 57(7):1107-1119.
    • (2002) Chem. Eng. Sci. , vol.57 , Issue.7 , pp. 1107-1119
    • Mahoney, A.W.1    Ramkrishna, D.2
  • 25
    • 0023842284 scopus 로고
    • Crystallization and precipitation engineering-I. An efficient method for solving population balance in crystallization with agglomeration
    • Marchal P., David R., Klein J.P., Villermaux J. Crystallization and precipitation engineering-I. An efficient method for solving population balance in crystallization with agglomeration. Chem. Eng. Sci. 1988, 43(1):59-67.
    • (1988) Chem. Eng. Sci. , vol.43 , Issue.1 , pp. 59-67
    • Marchal, P.1    David, R.2    Klein, J.P.3    Villermaux, J.4
  • 26
    • 0036769411 scopus 로고    scopus 로고
    • Nucleation, growth, and agglomeration in barium sulfate turbulent precipitation
    • Marchisio D.L., Barresi A.A., Garbero M. Nucleation, growth, and agglomeration in barium sulfate turbulent precipitation. AIChE J. 2002, 48(9):2039-2050.
    • (2002) AIChE J. , vol.48 , Issue.9 , pp. 2039-2050
    • Marchisio, D.L.1    Barresi, A.A.2    Garbero, M.3
  • 27
    • 10044271895 scopus 로고    scopus 로고
    • Solution of population balance equations using the direct quadrature method of moments
    • Marchisio D.L., Fox R.O. Solution of population balance equations using the direct quadrature method of moments. J. Aerosol Sci. 2005, 36:43-73.
    • (2005) J. Aerosol Sci. , vol.36 , pp. 43-73
    • Marchisio, D.L.1    Fox, R.O.2
  • 28
    • 0038625401 scopus 로고    scopus 로고
    • Quadrature method of moments for population-balance equations
    • Marchisio D.L., Pikturna J.T., Fox R.O., Vigil R.D. Quadrature method of moments for population-balance equations. AIChE J. 2003, 49(5):1266-1276.
    • (2003) AIChE J. , vol.49 , Issue.5 , pp. 1266-1276
    • Marchisio, D.L.1    Pikturna, J.T.2    Fox, R.O.3    Vigil, R.D.4
  • 29
    • 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 Sci. Technol. 1997, 27(2):255-265.
    • (1997) Aerosol Sci. Technol. , vol.27 , Issue.2 , pp. 255-265
    • McGraw, R.1
  • 30
    • 40949088904 scopus 로고    scopus 로고
    • Gas-liquid flow and bubble size distribution in stirred tanks
    • Montante G., Horn D., Paglianti A. Gas-liquid flow and bubble size distribution in stirred tanks. Chem. Eng. Sci. 2008, 63:2107-2118.
    • (2008) Chem. Eng. Sci. , vol.63 , pp. 2107-2118
    • Montante, G.1    Horn, D.2    Paglianti, A.3
  • 31
    • 0029657220 scopus 로고    scopus 로고
    • Crystallization and precipitation engineering VI: solving population balance in the case of the precipitation of silver bromide crystals with high primary nucleation rate by using first order upwind differentiation
    • Muhr H., David J., Villermaux J., Jezequel P.H. Crystallization and precipitation engineering VI: solving population balance in the case of the precipitation of silver bromide crystals with high primary nucleation rate by using first order upwind differentiation. Chem. Eng. Sci. 1996, 51:309-319.
    • (1996) Chem. Eng. Sci. , vol.51 , pp. 309-319
    • Muhr, H.1    David, J.2    Villermaux, J.3    Jezequel, P.H.4
  • 32
    • 0029702272 scopus 로고    scopus 로고
    • A finite element analysis of the steady state population balance equation for particulate systems: aggregation and growth
    • Nicmanis M., Hounslow M.J. A finite element analysis of the steady state population balance equation for particulate systems: aggregation and growth. Comput. Chem. Eng. 1996, 20:S261-S266.
    • (1996) Comput. Chem. Eng. , vol.20
    • Nicmanis, M.1    Hounslow, M.J.2
  • 34
    • 0021534985 scopus 로고
    • Electrolyte crystal growth kinetics
    • Nielsen A.E., Toft J.M. Electrolyte crystal growth kinetics. J. Cryst. Growth 1984, 67:278-288.
    • (1984) J. Cryst. Growth , vol.67 , pp. 278-288
    • Nielsen, A.E.1    Toft, J.M.2
  • 35
    • 22144435485 scopus 로고    scopus 로고
    • Numerical investigation of the influence of the activity coefficient on barium sulphate crystallization
    • Öncül A.A., Sundmacher K., Thévenin D. Numerical investigation of the influence of the activity coefficient on barium sulphate crystallization. Chem. Eng. Sci. 2005, 60:5395-5405.
    • (2005) Chem. Eng. Sci. , vol.60 , pp. 5395-5405
    • Öncül, A.A.1    Sundmacher, K.2    Thévenin, D.3
  • 36
    • 0024125248 scopus 로고
    • The effects of micromixing and the manner of reactor feeding on precipitation in stirred tank reactors
    • Pohorecki R., Baldyga J. The effects of micromixing and the manner of reactor feeding on precipitation in stirred tank reactors. Chem. Eng. Sci. 1988, 43(8):1949-1954.
    • (1988) Chem. Eng. Sci. , vol.43 , Issue.8 , pp. 1949-1954
    • Pohorecki, R.1    Baldyga, J.2
  • 37
    • 34548510325 scopus 로고    scopus 로고
    • Numerical solution of population balance equations for nucleation, growth and aggregation processes
    • Qamar S., Warnecke G. Numerical solution of population balance equations for nucleation, growth and aggregation processes. Comput. Chem. Eng. 2007, 31:1576-1589.
    • (2007) Comput. Chem. Eng. , vol.31 , pp. 1576-1589
    • Qamar, S.1    Warnecke, G.2
  • 39
    • 35348929941 scopus 로고    scopus 로고
    • PDF method for population balance in turbulent reactive flow
    • Rigopoulos S. PDF method for population balance in turbulent reactive flow. Chem. Eng. Sci. 2007, 62:6865-6878.
    • (2007) Chem. Eng. Sci. , vol.62 , pp. 6865-6878
    • Rigopoulos, S.1
  • 40
    • 0037949208 scopus 로고    scopus 로고
    • Finite-element scheme for solution of the dynamic population balance equation
    • Rigopoulos S., Jones A.G. Finite-element scheme for solution of the dynamic population balance equation. AIChE J. 2003, 49:1127-1139.
    • (2003) AIChE J. , vol.49 , pp. 1127-1139
    • Rigopoulos, S.1    Jones, A.G.2
  • 41
    • 25644460460 scopus 로고    scopus 로고
    • Predictive simulation of nanoparticle precipitation based on the population balance equation
    • Schwarzer H.-C., Schwertfirm F., Manhart M., Schmid H.-J., Peukert W. Predictive simulation of nanoparticle precipitation based on the population balance equation. Chem. Eng. Sci. 2006, 61:167-181.
    • (2006) Chem. Eng. Sci. , vol.61 , pp. 167-181
    • Schwarzer, H.-C.1    Schwertfirm, F.2    Manhart, M.3    Schmid, H.-J.4    Peukert, W.5
  • 42
    • 77949295538 scopus 로고    scopus 로고
    • Modeling of turbulent precipitation: a transported population balance-PDF method
    • Veroli G.d., Rigopoulos S. Modeling of turbulent precipitation: a transported population balance-PDF method. AIChE J. 2010, 56(4):878-892.
    • (2010) AIChE J. , vol.56 , Issue.4 , pp. 878-892
    • Veroli, G.1    Rigopoulos, S.2
  • 43
    • 34249705280 scopus 로고    scopus 로고
    • Multi-scale modeling of a mixing-precipitation process in a semibatch stirred tank
    • Vicum L., Mazzotti M. Multi-scale modeling of a mixing-precipitation process in a semibatch stirred tank. Chem. Eng. Sci. 2007, 62(13):3513-3527.
    • (2007) Chem. Eng. Sci. , vol.62 , Issue.13 , pp. 3513-3527
    • Vicum, L.1    Mazzotti, M.2
  • 44
    • 37249009163 scopus 로고    scopus 로고
    • Simulation of barium sulfate precipitation using CFD and FM-PDF modeling in a continuous stirred tank
    • Wang Z., Zhang Q.H., Yang C., Mao Z.-S., Shen X.Q. Simulation of barium sulfate precipitation using CFD and FM-PDF modeling in a continuous stirred tank. Chem. Eng. Technol. 2007, 30(12):1642-1649.
    • (2007) Chem. Eng. Technol. , vol.30 , Issue.12 , pp. 1642-1649
    • Wang, Z.1    Zhang, Q.H.2    Yang, C.3    Mao, Z.-S.4    Shen, X.Q.5
  • 45
    • 0031079893 scopus 로고    scopus 로고
    • Application of CFD modelling to precipitation systems
    • Wei H., Garside J. Application of CFD modelling to precipitation systems. Chem. Eng. Res. Des. 1997, 75(A2):219-227.
    • (1997) Chem. Eng. Res. Des. , vol.75 , Issue.A2 , pp. 219-227
    • Wei, H.1    Garside, J.2
  • 46
    • 33745683564 scopus 로고    scopus 로고
    • Simulation of mixing effects in antisolvent crystallization using a coupled CFD-PDF-PBE approach
    • Woo X.Y., Tan R.B.H., Chow P.S., Braatz R.D. Simulation of mixing effects in antisolvent crystallization using a coupled CFD-PDF-PBE approach. Crystal Growth Des. 2006, 6(6):1291-1303.
    • (2006) Crystal Growth Des. , vol.6 , Issue.6 , pp. 1291-1303
    • Woo, X.Y.1    Tan, R.B.H.2    Chow, P.S.3    Braatz, R.D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.