Structured mixing model for stirred bioreactors: An extension to the stochastic approach

Chemical Engineering Journal

Volumn 113, Issue 1, 2005, Pages 1-12

  Delvigne, F ^a   Destain, J ^a   Thonart, P ^a,b  

^a WALLOON AGRICULTURAL RESEARCH CENTRE   (Belgium)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Compartment model; Stochastic approach; Structured mixing model

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; HYDRODYNAMICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MIXING; PROBABILITY; RANDOM PROCESSES;

BIOPROCESSES; COMPARTMENT MODELS; STOCHASTIC APPROACH; STRUCTURED MIXING MODELS;

BIOREACTORS;

STOCHASTIC METHOD;

EID: 25844517186     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2005.06.007     Document Type: Article

References (23)

1. P. Vrabel, R.G.J.M. van der Lans, F.N. van der Schot, K.Ch.A.M. Luyben, B. Xu, and S.O. Enfors CMA: integration of fluid dynamics and microbial kinetics in modelling of large-scale fermentations Chem. Eng. J. 84 2001 463 474
2. D. Vlaev, R. Mann, V. Lossev, S.D. Vlaev, J. Zahradnik, and P. Seichter Macro-mixing and Streptomyces fradiae: modelling oxygen and nutrient segregation in an industrial bioreactor Trans. IchemE 78 2000 354 362
3. J. Zahradnik, R. Mann, M. Fialova, D. Vlaev, S.D. Vlaev, V. Lossev, and P. Seichter A network-of-zones analysis of mixing and mass transfer in three industrial bioreactors Chem. Eng. Sci. 56 2001 485 492
4. Y.Q. Cui, R.G.J.M. van der Lans, H.J. Noorman, and K.Ch.A.M. Luyben Compartment mixing model for stirred reactors with multiple impellers Trans. IchemE 74 1996 261 271
5. V. Machon, and M. Jahoda Liquid homogenization in aerated multi-impeller stirred vessel Chem. Eng. Technol. 23 2000 869 876
6. B. Mayr, P. Horvat, E. Nagy, and A. Moser Mixing models applied to industrial batch reactor Bioprocess Eng. 9 1993 1 12
7. B. Mayr, E. Nagy, P. Horvat, and A. Moser Scale-up on basis of structured mixing models: a new concept Biotechnol. Bioeng. 43 1994 195 206
8. J.M.T. Vasconcelos, S.S. Alves, A.W. Nienow, and W. Bujalski Scale-up of mixing in gassed multi-turbine agitated vessels Can. J. Chem. Eng. 76 1998 398 404
9. J.M.T. Vasconcelos, S.S. Alves, and J.M. Barata Mixing in gas-liquid contactors agitated by multiple turbines Chem. Eng. Sci. 50 1995 2343 2354
10. P. Vrabel, R.G.J.M. van der Lans, K.Ch.A.M. Luyben, L. Boon, and A.N. Nienow Mixing in large-scale vessels stirred with multiple radial or radial and axial up-pumping impellers: modelling and measurements Chem. Eng. Sci. 55 2000 5881 5896
11. R. Mann, S.K. Pillai, A.M. El-Hamouz, P. Ying, A. Togatorop, and R.B. Edwards Computational fluid mixing for stirred vessels: progress from seeing to believing Chem. Eng. J. 59 1995 39 50
12. R. Mann, D. Vlaev, V. Lossev, S.D. Vlaev, J. Zahradnik, and P. Seichter A network-of-zones analysis of the fundamentals of gas-liquid mixing in an industrial stirred bioreactor Récents progrès en génie des procédés 11 52 1997 223 230
13. W. Pippel, and G. Philipp Utilization of Markov chains for simulation of dynamics of chemical systems Chem. Eng. Sci. 32 1977 543 549
14. M. Rubinovitch, and U. Mann Single-particle approach for analyzing flow systems. Part I: visits to flow regions AIChE J. 29 4 1983 658 662
15. L.T. Fan, L.S. Fan, and R.F. Nassar A stochastic model of the unsteady state age distribution in a flow system Chem. Eng. Sci. 34 1979 1172 1174
16. P.K. Namdev, B.G. Thompson, and M.R. Gray Effect of feed zone in fed-batch fermentations of Saccharomyces cerevisiae Biotechnol. Bioeng. 40 2 1992 235 246
17. T. Howes, M. Brannock, and G. Corre Development of simplified flow models from CFD simulations Third International Conference on CFD in the Minerals and Process Industries 2003 CSIRO Melbourne, Australia
18. B. Mayr, P. Horvat, and A. Moser Engineering approach to mixing quantification in bioreactors Bioprocess Eng. 8 1992 137 143
19. H. Berthiaux, and J. Dodds Modeling classifier networks by Markov chains Powder Technol. 105 1999 266 273
20. M. Rubinovitch, and U. Mann A single particle approach for analysing flow systems. Part II: regional residence times and local flow rates AIChE J. 29 4 1983 663 668
21. M. Rubinovitch, and U. Mann A single particle approach for analysing flow systems. Part III: multiple fluids AIChE J. 31 4 1985 615 620
22. J. Szépvölgyi, E. Diaz, and J. Gyenis New stochastic modelling of mixing in process operations Chem. Eng. Process. 38 1999 1 9
23. F. Delvigne, T. El Mejdoub, J. Destain, J.M. Delroisse, M. Vandenbol, E. Haubruge, and P. Thonart Estimation of bioreactor efficiency through structured hydrodynamic modelling: case study of a Pichia pastoris fed-batch process Appl. Biochem. Biotechnol. 121-124 2005 653 671