메뉴 건너뛰기




Volumn 49, Issue 22, 2010, Pages 11633-11644

Bivariate extension of the quadrature method of moments for batch crystallization models

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; BATCH CRYSTALLIZATION; BENCH-MARK PROBLEMS; BIVARIATE; CRITICAL SIZE; FINITE VOLUME SCHEMES; HIGH RESOLUTION; LOWER ORDER MOMENTS; ORTHOGONAL POLYNOMIAL; QUADRATURE METHOD OF MOMENTS; TEST PROBLEM;

EID: 78449281943     PISSN: 08885885     EISSN: 15205045     Source Type: Journal    
DOI: 10.1021/ie101108s     Document Type: Article
Times cited : (11)

References (42)
  • 2
    • 0002558076 scopus 로고
    • Fines destruction during batch crystallization
    • Jones, A. G.; Chianese, A. Fines destruction during batch crystallization Chem. Eng. Commun. 1987, 62, 5-16
    • (1987) Chem. Eng. Commun. , vol.62 , pp. 5-16
    • Jones, A.G.1    Chianese, A.2
  • 4
    • 0024732265 scopus 로고
    • Selective fines destruction in batch crystallization
    • Zipp, G. L.; Randolph, A. D. Selective fines destruction in batch crystallization Ind. Eng. Chem. Res. 1989, 28, 1446-1448
    • (1989) Ind. Eng. Chem. Res. , vol.28 , pp. 1446-1448
    • Zipp, G.L.1    Randolph, A.D.2
  • 5
    • 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
  • 7
    • 0030561458 scopus 로고    scopus 로고
    • Improving the accuracy of the moments method for solving the aerosol general dynamic equation
    • Barrett, J. C.; Jheeta, J. S. Improving the accuracy of the moments method for solving the aerosol general dynamic equation J. Aerosol Sci. 1996, 27, 1135-1142
    • (1996) J. Aerosol Sci. , vol.27 , pp. 1135-1142
    • Barrett, J.C.1    Jheeta, J.S.2
  • 8
    • 4143083745 scopus 로고    scopus 로고
    • Reversible crystal growth-dissolution and aggregation breakage: Numerical and moment solutions for population balance equations
    • Madras, G.; McCoy, B. J. Reversible crystal growth-dissolution and aggregation breakage: Numerical and moment solutions for population balance equations Powder Technol. 2004, 143-144, 297-307
    • (2004) Powder Technol. , vol.143-144 , pp. 297-307
    • Madras, G.1    McCoy, B.J.2
  • 9
    • 0037440820 scopus 로고    scopus 로고
    • Quadrature method of moments for aggregation-breakage processes
    • Marchisio, D. L.; Vigil, R. D.; Fox, R. O. Quadrature method of moments for aggregation-breakage processes J. Colloid Interface Sci. 2003, 258, 322-334
    • (2003) J. Colloid Interface Sci. , vol.258 , pp. 322-334
    • Marchisio, D.L.1    Vigil, R.D.2    Fox, R.O.3
  • 10
    • 0031214085 scopus 로고    scopus 로고
    • Description of aerosol dynamics by the quadrature method of moments
    • McGraw, R.; Nemesur, S.; Schwartz, S. E. Description of aerosol dynamics by the quadrature method of moments Aerosol Sci. Technol. 1997, 27, 255-265
    • (1997) Aerosol Sci. Technol. , vol.27 , pp. 255-265
    • McGraw, R.1    Nemesur, S.2    Schwartz, S.E.3
  • 11
    • 0037073056 scopus 로고    scopus 로고
    • On the solution of population balance equation (PBE) with accurate front tracking method in practical crystallization processes
    • Lim, Y. I.; Lann, J.-M. L.; Meyer, L. M.; Joulia, L.; Lee, G.; Yoon, E. S. On the solution of population balance equation (PBE) with accurate front tracking method in practical crystallization processes Chem. Eng. Sci. 2002, 57, 3715-3732
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 3715-3732
    • Lim, Y.I.1    Lann, J.-M.L.2    Meyer, L.M.3    Joulia, L.4    Lee, G.5    Yoon, E.S.6
  • 12
    • 63449114224 scopus 로고    scopus 로고
    • On the solution of population balances for nucleation, growth, aggregation and breakage processes
    • Qamar, S.; Warnecke, G.; Elsner, M. P. On the solution of population balances for nucleation, growth, aggregation and breakage processes Chem. Eng. Sci. 2009, 64, 2088-2095
    • (2009) Chem. Eng. Sci. , vol.64 , pp. 2088-2095
    • Qamar, S.1    Warnecke, G.2    Elsner, M.P.3
  • 14
    • 0032557412 scopus 로고    scopus 로고
    • Constant-number Monte Carlo simulation of population balances
    • Smith, M.; Matsoukas, T. Constant-number Monte Carlo simulation of population balances Chem. Eng. Sci. 1998, 53, 1777-1786
    • (1998) Chem. Eng. Sci. , vol.53 , pp. 1777-1786
    • Smith, M.1    Matsoukas, T.2
  • 15
    • 0033562291 scopus 로고    scopus 로고
    • Monte Carlo simulation of particle aggregation and simultaneous restructuring
    • Tandon, P.; Rosner, D. E. Monte Carlo simulation of particle aggregation and simultaneous restructuring J. Colloid Interface Sci. 1999, 213, 273-286
    • (1999) J. Colloid Interface Sci. , vol.213 , pp. 273-286
    • Tandon, P.1    Rosner, D.E.2
  • 16
    • 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. 1996, 51, 1311-1332 (Pubitemid 126660704)
    • (1996) Chemical Engineering Science , vol.51 , Issue.8 , pp. 1311-1332
    • Kumar, S.1    Ramkrishna, D.2
  • 17
    • 33746239169 scopus 로고    scopus 로고
    • Numerical calculation of the moments of the population balance equation
    • Dorao, C. A.; Jakobsen, H. A. Numerical calculation of the moments of the population balance equation J. Comput. Appl. Math. 2006, 196, 619-633
    • (2006) J. Comput. Appl. Math. , vol.196 , pp. 619-633
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 18
    • 30344471862 scopus 로고    scopus 로고
    • A least squares method for the solution of population balance problems
    • Dorao, C. A.; Jakobsen, H. A. A least squares method for the solution of population balance problems Comput. Chem. Eng. 2006, 30, 535-547
    • (2006) Comput. Chem. Eng. , vol.30 , pp. 535-547
    • Dorao, C.A.1    Jakobsen, H.A.2
  • 19
    • 43949086557 scopus 로고    scopus 로고
    • Prediction of the evolution of the dispersed phase in bubbly flow problems
    • Dorao, C. A.; Lucas, D.; Jakobsen, H. A. Prediction of the evolution of the dispersed phase in bubbly flow problems Appl. Math. Model. 2008, 32, 1813-1833
    • (2008) Appl. Math. Model. , vol.32 , pp. 1813-1833
    • Dorao, C.A.1    Lucas, D.2    Jakobsen, H.A.3
  • 20
    • 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
  • 21
    • 33646174027 scopus 로고    scopus 로고
    • A comparative study of high resolution schemes for solving population balances in crystallization
    • Qamar, S.; Elsner, M. P.; Angelov, I.; Warnecke, G.; Seidel-Morgenstern, A. A comparative study of high resolution schemes for solving population balances in crystallization Comput. Chem. Eng. 2006, 30, 1119-1131
    • (2006) Comput. Chem. Eng. , vol.30 , pp. 1119-1131
    • Qamar, S.1    Elsner, M.P.2    Angelov, I.3    Warnecke, G.4    Seidel-Morgenstern, A.5
  • 22
    • 33845412491 scopus 로고    scopus 로고
    • Solving population balance equation for two-component aggregation by a finite volume scheme
    • Qamar, S.; Warnecke, G. Solving population balance equation for two-component aggregation by a finite volume scheme Chem. Eng. Sci. 2006, 62, 679-693
    • (2006) Chem. Eng. Sci. , vol.62 , pp. 679-693
    • Qamar, S.1    Warnecke, G.2
  • 23
    • 0037189452 scopus 로고    scopus 로고
    • A moment methodology for coagulation and breakage problems: Part i - Analytical solution of the steady-state population balance
    • Diemer, R. B.; Olson, J. H. A moment methodology for coagulation and breakage problems: Part I-analytical solution of the steady-state population balance Chem. Eng. Sci. 2002, 57, 2193-2209
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 2193-2209
    • Diemer, R.B.1    Olson, J.H.2
  • 24
    • 0000072192 scopus 로고
    • Error bounds in equilibrium statistical mechanics
    • Gordon, R. G. Error bounds in equilibrium statistical mechanics J. Math. Phys. 1968, 9, 655-663
    • (1968) J. Math. Phys. , vol.9 , pp. 655-663
    • Gordon, R.G.1
  • 25
    • 0031965299 scopus 로고    scopus 로고
    • A comparison of some approximate methods for solving the aerosol general dynamic equation
    • Barrett, J. C.; Webb, N. A. A comparison of some approximate methods for solving the aerosol general dynamic equation J. Aerosol Sci. 1998, 29, 31-39
    • (1998) J. Aerosol Sci. , vol.29 , pp. 31-39
    • Barrett, J.C.1    Webb, N.A.2
  • 26
    • 0346368089 scopus 로고    scopus 로고
    • Application of the direct quadrature method of moments to polydisperse gas-solid fluidized beds
    • Fan, R.; Marchisio, D. L.; Fox, R. O. Application of the direct quadrature method of moments to polydisperse gas-solid fluidized beds Powder Technol. 2004, 139, 7-20
    • (2004) Powder Technol. , vol.139 , pp. 7-20
    • Fan, R.1    Marchisio, D.L.2    Fox, R.O.3
  • 27
    • 55749104693 scopus 로고    scopus 로고
    • An adaptive direct quadrature method of moment for population balance equations
    • Su, J.; Gu, Z.; Li, Y.; Feng, S.; Xu, X. Y. An adaptive direct quadrature method of moment for population balance equations AIChE J. 2008, 54, 2872-2887
    • (2008) AIChE J. , vol.54 , pp. 2872-2887
    • Su, J.1    Gu, Z.2    Li, Y.3    Feng, S.4    Xu, X.Y.5
  • 28
    • 33846312127 scopus 로고    scopus 로고
    • Generalization and numerical investigation of QMOM
    • Grosch, R.; Briesen, H.; Marquardt, W.; Wulkow, M. Generalization and numerical investigation of QMOM AIChE J. 2006, 53, 207-227
    • (2006) AIChE J. , vol.53 , pp. 207-227
    • Grosch, R.1    Briesen, H.2    Marquardt, W.3    Wulkow, M.4
  • 29
    • 69249123210 scopus 로고    scopus 로고
    • Simultaneous quadrature method of moments for the solution of population balance equations, using a differential algebraic equation frameworks
    • Gimbun, J.; Nagy, Z. K.; Rielly, C. D. Simultaneous quadrature method of moments for the solution of population balance equations, using a differential algebraic equation frameworks Ind. Eng. Chem. Res. 2009, 48, 7798-7812
    • (2009) Ind. Eng. Chem. Res. , vol.48 , pp. 7798-7812
    • Gimbun, J.1    Nagy, Z.K.2    Rielly, C.D.3
  • 31
    • 0035870360 scopus 로고    scopus 로고
    • Bivariate extension of the quadrature method of moments for modeling simultaneous coagulation and sintering of particle populations
    • Wright, D. L.; McGraw, R.; Rosner, D. E. Bivariate extension of the quadrature method of moments for modeling simultaneous coagulation and sintering of particle populations J. Colloid Interface Sci. 2001, 236, 242-251
    • (2001) J. Colloid Interface Sci. , vol.236 , pp. 242-251
    • Wright, D.L.1    McGraw, R.2    Rosner, D.E.3
  • 32
    • 0036525244 scopus 로고    scopus 로고
    • Bivariate moment simulation of coagulating and sintering nanoparticles in flames
    • Rosner, D. E.; Pyykönen, J. J. Bivariate moment simulation of coagulating and sintering nanoparticles in flames AIChE J. 2002, 48, 476-491
    • (2002) AIChE J. , vol.48 , pp. 476-491
    • Rosner, D.E.1    Pyykönen, J.J.2
  • 33
    • 34047211965 scopus 로고    scopus 로고
    • Validation of bivariate DQMOM for nanoparticle processes simulation
    • Zucca, A.; Marchisio, D. L.; Vani, M.; Barresi, A. A. Validation of bivariate DQMOM for nanoparticle processes simulation AIChE J. 2007, 53, 918-931
    • (2007) AIChE J. , vol.53 , pp. 918-931
    • Zucca, A.1    Marchisio, D.L.2    Vani, M.3    Barresi, A.A.4
  • 34
    • 0032145759 scopus 로고    scopus 로고
    • Properties and evolution of aerosol with size distributions having identical moments
    • McGraw, R. Properties and evolution of aerosol with size distributions having identical moments J. Aerosol Sci. 1998, 29, 761-772
    • (1998) J. Aerosol Sci. , vol.29 , pp. 761-772
    • McGraw, R.1
  • 36
    • 34247589861 scopus 로고    scopus 로고
    • Technique for the reconstruction of a distribution from a finite number of its moments
    • John, V.; Angelov, I.; Oncul, A. A.; Thévenin, D. Technique 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    Oncul, A.A.3    Thévenin, D.4
  • 37
    • 84984082305 scopus 로고
    • Crystal size distributions in continuous crystallizers when growth rate is size dependent
    • Abegg, C. F.; Stevens, J. D.; Larson, M. A. Crystal size distributions in continuous crystallizers when growth rate is size dependent AIChE J. 1968, 14, 118-122
    • (1968) AIChE J. , vol.14 , pp. 118-122
    • Abegg, C.F.1    Stevens, J.D.2    Larson, M.A.3
  • 39
    • 0027626553 scopus 로고
    • Model identification and control of solution crystallization processes: A review
    • Miller, S. M.; Rawlings, J. B.; Witkowski, W. R. Model identification and control of solution crystallization processes: A review Ind. Eng. Chem. Res. 1993, 32, 1275-1296
    • (1993) Ind. Eng. Chem. Res. , vol.32 , pp. 1275-1296
    • Miller, S.M.1    Rawlings, J.B.2    Witkowski, W.R.3
  • 41
    • 0003037277 scopus 로고
    • Evolution of coagulating systems III. Coagulating mixtures
    • Lushnikov, A. A. Evolution of coagulating systems III. Coagulating mixtures J. Colloid Interface Sci. 1976, 54, 94-101
    • (1976) J. Colloid Interface Sci. , vol.54 , pp. 94-101
    • Lushnikov, A.A.1
  • 42
    • 0000162269 scopus 로고
    • Coagulation and growth of a multicomponent aerosol
    • Gelbard, F.; Seinfeld, J. H. Coagulation and growth of a multicomponent aerosol J. Colloid Interface Sci. 1978, 63, 357-375
    • (1978) J. Colloid Interface Sci. , vol.63 , pp. 357-375
    • Gelbard, F.1    Seinfeld, J.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.