메뉴 건너뛰기




Volumn 57, Issue 11, 2011, Pages 3105-3121

The inverse problem in granulation modeling-Two different statistical approaches

Author keywords

Mathematical modeling; Particle technology; Process simulation; Statistical analysis

Indexed keywords

BAYESIAN APPROACHES; BIMODAL DISTRIBUTION; COMPACTION RATES; EXPERIMENTAL UNCERTAINTY; MATHEMATICAL MODELING; MODEL DEVELOPMENT; MODEL PREDICTION; MULTIDIMENSIONAL POPULATION BALANCE MODELS; PARAMETER COMBINATION; PARTICLE TECHNOLOGY; PROCESS SIMULATIONS; PROJECTION METHOD; SODIUM CARBONATE; STATISTICAL APPROACH; SURROGATE MODEL;

EID: 80053919637     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12526     Document Type: Article
Times cited : (26)

References (55)
  • 1
    • 0013418163 scopus 로고    scopus 로고
    • Scale-up of agglomeration processes using transformations
    • Mort P, Tardos G. Scale-up of agglomeration processes using transformations. KONA. 1999; 17: 64-75.
    • (1999) KONA , vol.17 , pp. 64-75
    • Mort, P.1    Tardos, G.2
  • 2
    • 0035806257 scopus 로고    scopus 로고
    • Nucleation, growth and breakage phenomena in agitated wet granulation processes: a review
    • Iveson SM, Litster JD, Hapgood K, Ennis BJ. Nucleation, growth and breakage phenomena in agitated wet granulation processes: a review. Powder Technol. 2001; 117: 3-39.
    • (2001) Powder Technol , vol.117 , pp. 3-39
    • Iveson, S.M.1    Litster, J.D.2    Hapgood, K.3    Ennis, B.J.4
  • 3
    • 0342378046 scopus 로고    scopus 로고
    • Critical parameters and limiting conditions in binder granulation of fine powders
    • Tardos GI, Khan MI, Mort PR. Critical parameters and limiting conditions in binder granulation of fine powders. Powder Technol. 1997; 94: 245-258.
    • (1997) Powder Technol , vol.94 , pp. 245-258
    • Tardos, G.I.1    Khan, M.I.2    Mort, P.R.3
  • 4
    • 0037185927 scopus 로고    scopus 로고
    • Unsteady and steady-state particle size distributions in batch and continuous fluidized bed granulation systems
    • Heinrich S, Peglow M, Mörl L. Unsteady and steady-state particle size distributions in batch and continuous fluidized bed granulation systems. Chem Eng J. 2002; 86: 223-231.
    • (2002) Chem Eng J , vol.86 , pp. 223-231
    • Heinrich, S.1    Peglow, M.2    Mörl, L.3
  • 5
    • 30344471093 scopus 로고    scopus 로고
    • Kinetics of fluidised bed melt granulation I: the effect of process variables
    • Tan HS, Salman AD, Hounslow MJ. Kinetics of fluidised bed melt granulation I: the effect of process variables. Chem Eng Sci. 2006; 61: 1585-1601.
    • (2006) Chem Eng Sci , vol.61 , pp. 1585-1601
    • Tan, H.S.1    Salman, A.D.2    Hounslow, M.J.3
  • 7
    • 0001651006 scopus 로고
    • Granule formation by the agglomeration of damp powders-part I: the mechanism of granule growth
    • Capes CE, Danckwerts PV. Granule formation by the agglomeration of damp powders-part I: the mechanism of granule growth. Trans Inst Chem Eng. 1965; 43: T116-T124.
    • (1965) Trans Inst Chem Eng , vol.43
    • Capes, C.E.1    Danckwerts, P.V.2
  • 8
    • 0001651006 scopus 로고
    • Granule formation by the agglomeration of damp powders-part II: the distribution of granules sizes
    • Capes CE, Danckwerts PV. Granule formation by the agglomeration of damp powders-part II: the distribution of granules sizes. Trans Inst Chem Eng. 1965; 43: T125-T130.
    • (1965) Trans Inst Chem Eng , vol.43
    • Capes, C.E.1    Danckwerts, P.V.2
  • 9
    • 0000408331 scopus 로고
    • A contribution to the theory and practice of granulation
    • Newitt DM, Conway-Jones JM. A contribution to the theory and practice of granulation. Trans Inst Chem Eng. 1958; 36: 422-440.
    • (1958) Trans Inst Chem Eng , vol.36 , pp. 422-440
    • Newitt, D.M.1    Conway-Jones, J.M.2
  • 10
    • 84981756959 scopus 로고
    • Grundlagen und Methoden des Granulierens
    • Rumpf H. Grundlagen und Methoden des Granulierens. Chem Ing Tech. 1958; 30: 144-158.
    • (1958) Chem Ing Tech , vol.30 , pp. 144-158
    • Rumpf, H.1
  • 11
    • 84981756868 scopus 로고
    • Grundlagen und Methoden des Granulierens. 3. Teil: Überblick über die technischen Granulierverfahren
    • Rumpf H. Grundlagen und Methoden des Granulierens. 3. Teil: Überblick über die technischen Granulierverfahren. Chem Ing Tech. 1958; 30: 329-336.
    • (1958) Chem Ing Tech , vol.30 , pp. 329-336
    • Rumpf, H.1
  • 12
    • 38949156199 scopus 로고    scopus 로고
    • Growth kinetics and mechanism of wet granulation in a laboratory-scale high shear mixer: effect of initial polydispersity of particle size
    • Realpe A, Velázquez C. Growth kinetics and mechanism of wet granulation in a laboratory-scale high shear mixer: effect of initial polydispersity of particle size. Chem Eng Sci. 2008; 63: 1602-1611.
    • (2008) Chem Eng Sci , vol.63 , pp. 1602-1611
    • Realpe, A.1    Velázquez, C.2
  • 13
    • 33947222473 scopus 로고    scopus 로고
    • Experimental study of wet granulation in fluidized bed: impact of the binder properties on the granule morphology
    • Rajniak P, Mancinelli C, Chern RT, Stepanek F, Farber L, Hill BT. Experimental study of wet granulation in fluidized bed: impact of the binder properties on the granule morphology. Int J Pharm. 2007; 334: 92-102.
    • (2007) Int J Pharm , vol.334 , pp. 92-102
    • Rajniak, P.1    Mancinelli, C.2    Chern, R.T.3    Stepanek, F.4    Farber, L.5    Hill, B.T.6
  • 14
    • 0032125567 scopus 로고    scopus 로고
    • An investigation into the kinetics of liquid distribution and growth in high shear mixer agglomeration
    • Knight PC, Instone T, Pearson JMK, Hounslow MJ. An investigation into the kinetics of liquid distribution and growth in high shear mixer agglomeration. Powder Technol. 1998; 97: 246-257.
    • (1998) Powder Technol , vol.97 , pp. 246-257
    • Knight, P.C.1    Instone, T.2    Pearson, J.M.K.3    Hounslow, M.J.4
  • 15
    • 36248989125 scopus 로고    scopus 로고
    • Influence of liquid binder dispersion on agglomeration in an intensive mixer
    • Ax K, Feise H, Sochon R, Hounslow M, Salman A. Influence of liquid binder dispersion on agglomeration in an intensive mixer. Powder Technol. 2008; 179: 190-194.
    • (2008) Powder Technol , vol.179 , pp. 190-194
    • Ax, K.1    Feise, H.2    Sochon, R.3    Hounslow, M.4    Salman, A.5
  • 16
    • 0035955768 scopus 로고    scopus 로고
    • Model predictive control of a granulation system using soft constraints and prioritized control objectives
    • Gatzke EP, Doyle FJ III. Model predictive control of a granulation system using soft constraints and prioritized control objectives. Powder Technol. 2001; 121: 149-158.
    • (2001) Powder Technol , vol.121 , pp. 149-158
    • Gatzke, E.P.1    Doyle III, F.J.2
  • 17
    • 0035806315 scopus 로고    scopus 로고
    • Control of agglomerate attributes in a continuous binder-agglomeration process
    • Mort PR, Capeci SW, Holder JW. Control of agglomerate attributes in a continuous binder-agglomeration process. Powder Technol. 2001; 117: 173-176.
    • (2001) Powder Technol , vol.117 , pp. 173-176
    • Mort, P.R.1    Capeci, S.W.2    Holder, J.W.3
  • 18
    • 26944449661 scopus 로고    scopus 로고
    • A new numerical approach for the simulation of the growth of inorganic nanoparticles
    • Morgan NM, Wells CG, Goodson MJ, Kraft M, Wagner W. A new numerical approach for the simulation of the growth of inorganic nanoparticles. J Comput Phys. 2006; 211: 638-658.
    • (2006) J Comput Phys , vol.211 , pp. 638-658
    • Morgan, N.M.1    Wells, C.G.2    Goodson, M.J.3    Kraft, M.4    Wagner, W.5
  • 20
    • 61349161256 scopus 로고    scopus 로고
    • Modelling soot formation in a premixed flame using an aromatic-site soot model and an improved oxidation rate
    • Celnik MS, Sander M, Raj A, West RH, Kraft M. Modelling soot formation in a premixed flame using an aromatic-site soot model and an improved oxidation rate. Proc Combust Inst. 2009; 32: 639-646.
    • (2009) Proc Combust Inst , vol.32 , pp. 639-646
    • Celnik, M.S.1    Sander, M.2    Raj, A.3    West, R.H.4    Kraft, M.5
  • 22
    • 0016522204 scopus 로고
    • Similarity size distribution of agglomerates during their growth by coalescence in granulation or green pelletization
    • Sastry KVS. Similarity size distribution of agglomerates during their growth by coalescence in granulation or green pelletization. Int J Miner Process. 1975; 2: 187-203.
    • (1975) Int J Miner Process , vol.2 , pp. 187-203
    • Sastry, K.V.S.1
  • 23
    • 34547430069 scopus 로고    scopus 로고
    • Modelling and validation of granulation with heterogeneous binder dispersion and chemical reaction
    • Braumann A, Goodson MJ, Kraft M, Mort PR. Modelling and validation of granulation with heterogeneous binder dispersion and chemical reaction. Chem Eng Sci. 2007; 62: 4717-4728.
    • (2007) Chem Eng Sci , vol.62 , pp. 4717-4728
    • Braumann, A.1    Goodson, M.J.2    Kraft, M.3    Mort, P.R.4
  • 24
    • 27644450013 scopus 로고    scopus 로고
    • High shear wet granulation modelling-a mechanistic approach using population balances
    • Darelius A, Rasmuson A, Björn IN, Folestad S. High shear wet granulation modelling-a mechanistic approach using population balances. Powder Technol. 2005; 160: 209-218.
    • (2005) Powder Technol , vol.160 , pp. 209-218
    • Darelius, A.1    Rasmuson, A.2    Björn, I.N.3    Folestad, S.4
  • 25
    • 0037189459 scopus 로고    scopus 로고
    • Population balances for particulate processes-a volume approach
    • Verkoeijen D, Pouw GA, Meesters GMH, Scarlett B. Population balances for particulate processes-a volume approach. Chem Eng Sci. 2002; 57: 2287-2303.
    • (2002) Chem Eng Sci , vol.57 , pp. 2287-2303
    • Verkoeijen, D.1    Pouw, G.A.2    Meesters, G.M.H.3    Scarlett, B.4
  • 26
    • 38149049131 scopus 로고    scopus 로고
    • A three-dimensional population balance model of granulation with a mechanistic representation of the nucleation and aggregation phenomena
    • Poon JM-H, Immanuel CD, Doyle FJ III, Litster JD. A three-dimensional population balance model of granulation with a mechanistic representation of the nucleation and aggregation phenomena. Chem Eng Sci. 2008; 63: 1315-1329.
    • (2008) Chem Eng Sci , vol.63 , pp. 1315-1329
    • Poon, J.-H.1    Immanuel, C.D.2    Doyle III, F.J.3    Litster, J.D.4
  • 27
    • 4544337277 scopus 로고    scopus 로고
    • A Monte Carlo methods for identification and sensitivity analysis of coagulation processes
    • Vikhansky A, Kraft M. A Monte Carlo methods for identification and sensitivity analysis of coagulation processes. J Comput Phys. 2004; 200: 50-59.
    • (2004) J Comput Phys , vol.200 , pp. 50-59
    • Vikhansky, A.1    Kraft, M.2
  • 28
    • 33645693828 scopus 로고    scopus 로고
    • Droplets population balance in a rotating disc contactor: an inverse problem approach
    • Vikhansky A, Kraft M, Simon M, Schmidt S, Bart H-J. Droplets population balance in a rotating disc contactor: an inverse problem approach. AIChE J. 2006; 52: 1441-1450.
    • (2006) AIChE J , vol.52 , pp. 1441-1450
    • Vikhansky, A.1    Kraft, M.2    Simon, M.3    Schmidt, S.4    Bart, H.-J.5
  • 29
    • 33744524046 scopus 로고    scopus 로고
    • Two methods for sensitivity analysis of coagulation processes in population balances by a Monte Carlo method
    • Vikhansky A, Kraft M. Two methods for sensitivity analysis of coagulation processes in population balances by a Monte Carlo method. Chem Eng Sci. 2006; 61: 4966-4972.
    • (2006) Chem Eng Sci , vol.61 , pp. 4966-4972
    • Vikhansky, A.1    Kraft, M.2
  • 30
    • 77950835710 scopus 로고    scopus 로고
    • Coupling algorithms for calculating sensitivities of Smoluchowski's coagulation equation
    • Man PLW, Norris JR, Bailleul IF, Kraft M. Coupling algorithms for calculating sensitivities of Smoluchowski's coagulation equation. SIAM J Sci Comput. 2010; 32: 635-655.
    • (2010) SIAM J Sci Comput , vol.32 , pp. 635-655
    • Man, P.L.W.1    Norris, J.R.2    Bailleul, I.F.3    Kraft, M.4
  • 31
    • 77956020760 scopus 로고    scopus 로고
    • A stochastic algorithm for parametric sensitivity in Smoluchowski's coagulation equation
    • Bailleul IF, Man PLW, Kraft M. A stochastic algorithm for parametric sensitivity in Smoluchowski's coagulation equation. SIAM J Numer Anal. 2010; 48: 1064-1086.
    • (2010) SIAM J Numer Anal , vol.48 , pp. 1064-1086
    • Bailleul, I.F.1    Man, P.L.W.2    Kraft, M.3
  • 32
    • 0022769222 scopus 로고
    • An inverse problem in agglomeration kinetics
    • Muralidar R, Ramkrishna D. An inverse problem in agglomeration kinetics. J Colloid Interface Sci. 1986; 112: 348-361.
    • (1986) J Colloid Interface Sci , vol.112 , pp. 348-361
    • Muralidar, R.1    Ramkrishna, D.2
  • 33
    • 0033854103 scopus 로고    scopus 로고
    • Determination of nucleation, growth, agglomeration and disruption kinetics from experimental precipitation data: the calcium oxalate system
    • Zauner R, Jones AG. Determination of nucleation, growth, agglomeration and disruption kinetics from experimental precipitation data: the calcium oxalate system. Chem Eng Sci. 2000; 55: 4219-4232.
    • (2000) Chem Eng Sci , vol.55 , pp. 4219-4232
    • Zauner, R.1    Jones, A.G.2
  • 34
    • 19844376714 scopus 로고    scopus 로고
    • PBM and activated sludge flocculation: from experimental data to calibrated model
    • Nopens I, Koegst T, Mahieu K, Vanrolleghem PA. PBM and activated sludge flocculation: from experimental data to calibrated model. AIChE J. 2005; 51: 1548-1557.
    • (2005) AIChE J , vol.51 , pp. 1548-1557
    • Nopens, I.1    Koegst, T.2    Mahieu, K.3    Vanrolleghem, P.A.4
  • 35
    • 77954383034 scopus 로고    scopus 로고
    • Effective parameter estimation within a multi-dimensional population balance model framework
    • Ramachandran R, Barton PI. Effective parameter estimation within a multi-dimensional population balance model framework. Chem Eng Sci. 2010; 65: 4884-4893.
    • (2010) Chem Eng Sci , vol.65 , pp. 4884-4893
    • Ramachandran, R.1    Barton, P.I.2
  • 36
    • 70449651666 scopus 로고    scopus 로고
    • Parameter estimation in a multidimensional granulation model
    • Braumann A, Kraft M, Mort PR. Parameter estimation in a multidimensional granulation model. Powder Technol. 2010; 197: 196-210.
    • (2010) Powder Technol , vol.197 , pp. 196-210
    • Braumann, A.1    Kraft, M.2    Mort, P.R.3
  • 37
    • 71549154999 scopus 로고    scopus 로고
    • Incorporating experimental uncertainties into multivariate granulation modelling
    • Braumann A, Kraft M. Incorporating experimental uncertainties into multivariate granulation modelling. Chem Eng Sci. 2010; 65: 1088-1100.
    • (2010) Chem Eng Sci , vol.65 , pp. 1088-1100
    • Braumann, A.1    Kraft, M.2
  • 38
    • 74249087551 scopus 로고    scopus 로고
    • Statistical approximation of the inverse problem in multivariate population balance modeling
    • Braumann A, Man PLW, Kraft M. Statistical approximation of the inverse problem in multivariate population balance modeling. Ind Eng Chem Res. 2010; 49: 428-438.
    • (2010) Ind Eng Chem Res , vol.49 , pp. 428-438
    • Braumann, A.1    Man, P.L.W.2    Kraft, M.3
  • 39
    • 61849155692 scopus 로고    scopus 로고
    • Spectral uncertainty quantification, propagation and optimization of a detailed kinetic model for ethylene combustion
    • Sheen DA, You X, Wang H, Løvås T. Spectral uncertainty quantification, propagation and optimization of a detailed kinetic model for ethylene combustion. Proc Combust Inst. 2009; 32: 535-542.
    • (2009) Proc Combust Inst , vol.32 , pp. 535-542
    • Sheen, D.A.1    You, X.2    Wang, H.3    Løvås, T.4
  • 40
    • 41849098583 scopus 로고    scopus 로고
    • Estimation of parameters in multi-mode heat transfer problems using Bayesian inference-Effect of noise and a priori
    • Parthasarathy S, Balaji C. Estimation of parameters in multi-mode heat transfer problems using Bayesian inference-Effect of noise and a priori. Int J Heat Mass Transfer. 2008; 51: 2313-2334.
    • (2008) Int J Heat Mass Transfer , vol.51 , pp. 2313-2334
    • Parthasarathy, S.1    Balaji, C.2
  • 41
    • 57049102903 scopus 로고    scopus 로고
    • Robust Bayesian estimation of kinetics for polymorphic transformation of L-glumatic acid crystals
    • Hermanto MW, Kee NC, Tan RBH, Chiu M-S, Braatz RD. Robust Bayesian estimation of kinetics for polymorphic transformation of L-glumatic acid crystals. AIChE J. 2008; 54: 3248-3259.
    • (2008) AIChE J , vol.54 , pp. 3248-3259
    • Hermanto, M.W.1    Kee, N.C.2    Tan, R.B.H.3    Chiu, M.-S.4    Braatz, R.D.5
  • 42
    • 0031997774 scopus 로고    scopus 로고
    • A case study of particle mixing in a ploughshare mixer using positron emission particle tracking
    • Jones JR, Bridgwater J. A case study of particle mixing in a ploughshare mixer using positron emission particle tracking. Int J Miner Process. 1998; 53: 29-38.
    • (1998) Int J Miner Process , vol.53 , pp. 29-38
    • Jones, J.R.1    Bridgwater, J.2
  • 43
    • 77955510388 scopus 로고    scopus 로고
    • Numerical study of a stochastic particle algorithm solving a multidimensional population balance model for high shear granulation
    • Braumann A, Kraft M, Wagner W. Numerical study of a stochastic particle algorithm solving a multidimensional population balance model for high shear granulation. J Comput Phys. 2010; 229: 7672-7691.
    • (2010) J Comput Phys , vol.229 , pp. 7672-7691
    • Braumann, A.1    Kraft, M.2    Wagner, W.3
  • 44
    • 33846113883 scopus 로고    scopus 로고
    • The linear process deferment algorithm: a new technique for solving population balance equations
    • Patterson RIA, Singh J, Balthasar M, Kraft M, Norris JR. The linear process deferment algorithm: a new technique for solving population balance equations. SIAM J Sci Comput. 2006; 28: 303-320.
    • (2006) SIAM J Sci Comput , vol.28 , pp. 303-320
    • Patterson, R.I.A.1    Singh, J.2    Balthasar, M.3    Kraft, M.4    Norris, J.R.5
  • 46
    • 0002020770 scopus 로고
    • On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
    • Halton JH. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Numer Math. 1960; 2: 84-90.
    • (1960) Numer Math , vol.2 , pp. 84-90
    • Halton, J.H.1
  • 47
    • 0000243106 scopus 로고    scopus 로고
    • The philosophy of statistics
    • Lindley DV. The philosophy of statistics. J Roy Stat Soc D-Sta. 2000; 49: 293-337.
    • (2000) J Roy Stat Soc D-Sta , vol.49 , pp. 293-337
    • Lindley, D.V.1
  • 49
    • 77955274198 scopus 로고    scopus 로고
    • Bayesian methodology in statistics
    • In: Brown SD, Tauler R, Walczak B, editor. Oxford: Elsevier
    • Bernardo JM. Bayesian methodology in statistics. In: Brown SD, Tauler R, Walczak B, editor. Comprehensive Chemometrics, Vol. 1. Oxford: Elsevier, 2009: 213-245.
    • (2009) Comprehensive Chemometrics, Vol. 1 , pp. 213-245
    • Bernardo, J.M.1
  • 50
    • 0000235984 scopus 로고    scopus 로고
    • Updating models and their uncertainties. I: Bayesian statistical framework
    • Beck JL, Katafygiotis LS. Updating models and their uncertainties. I: Bayesian statistical framework. J Eng Mech. 1998; 124: 455-461.
    • (1998) J Eng Mech , vol.124 , pp. 455-461
    • Beck, J.L.1    Katafygiotis, L.S.2
  • 51
    • 77953128437 scopus 로고    scopus 로고
    • Resolving conflicting parameter estimates in multivariate population balance models
    • Man PLW, Braumann A, Kraft M. Resolving conflicting parameter estimates in multivariate population balance models. Chem Eng Sci. 2010; 65: 4038-4045.
    • (2010) Chem Eng Sci , vol.65 , pp. 4038-4045
    • Man, P.L.W.1    Braumann, A.2    Kraft, M.3
  • 53
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov Chains and their applications
    • Hastings WK. Monte Carlo sampling methods using Markov Chains and their applications. Biometrika. 1970; 57: 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 55
    • 63049136546 scopus 로고    scopus 로고
    • Bayesian model updating using hybrid Monte Carlo simulation with application to structural dynamic models with many uncertain parameters
    • Cheung SH, Beck JL. Bayesian model updating using hybrid Monte Carlo simulation with application to structural dynamic models with many uncertain parameters. J Eng Mech. 2009; 135: 243-255.
    • (2009) J Eng Mech , vol.135 , pp. 243-255
    • Cheung, S.H.1    Beck, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.