On population balance modeling of membrane bioreactor operation with periodic back-washing

AIChE Journal

Volumn 57, Issue 8, 2011, Pages 2274-2281

  Kostoglou, M ^a   Karabelas, A J ^b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b Centre for Research Technology Hellas   (Greece)

Author keywords

Bioseparation; Mathematical modeling; Membrane separations; Reactor analysis

Indexed keywords

EID: 79960215726     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12426     Document Type: Article

References (20)

1. MWH Global Inc. Chap 12: Membrane Filtration. Water Treatment: Principles and Design. 2nd ed. Hoboken, NJ: Wiley; 2005.
2. Ng ANL, Kim AS. A mini review of modeling studies on membrane bioreactor (MBR) treatment for municipal wastewaters. Desalination. 2007; 212: 261-281.
3. Benefield L, Molz F. A kinetic model for the activated sludge process which considers diffusion and reaction in the microbial floc. Biotechnol Bioeng. 1984; 25: 2591-2615.
4. Bakti NAK, Dick RI. A model for a nitrifying suspended-growth reactor incorporating intraparticle diffusional limitation. Water Res. 1992; 26: 1681-1690.
5. Nopens I, Biggs C, De Clercq B, Govoreanu R, Wilen B, Lant P, Vanrolleghem P. Modeling the activated sludge flocculation process combining laser light diffraction particle sizing and population balance modeling. Water Sci Technol. 2002; 45: 41-49.
6. Nopens I, Koegst T, Mahieu K, Vanrolleghem, P, PBM and activated sludge flocculation: From experimental data to calibrated model. AIChE J. 2005; 51: 1548-1557.
7. Patsios SI, Karabelas AJ. A review of modeling bio-processes in Membrane Bio-Reactors (MBR) with emphasis on membrane fouling predictions. Desal Water Treat. (in press). 2010; doi: 10.5004/dwt.2010.1383.
8. Baldyga J, Bourne JR. Turbulent Mixing and Chemical Reactions. New York: Wiley; 1999.
9. Deen WM. Analysis of Transport Phenomena. New York: Oxford University Press; 1998.
10. Kevorkian J, Cole JD. Multiple Scale and Singular Perturbation Methods. New York: Springer; 1996.
11. Spicer PT, Pratsinis SE. Coagulation and fragmentation: Universal steady-state particle-size distribution. AIChE J. 1996; 42: 1612-1626.
12. Randolph AD, Larson MA. Theory of Particulate Processes. New York: Academic Press; 1971.
13. Valentas KJ, Amundson NR. Breakage and coalescence in dispersed phase systems. Ind Eng Chem Fund. 1966; 5: 533-542.
14. Kapellos GE, Alexiou TS, Payatakes AC. Hierarchical simulator of biofilm growth and dynamics in granular porous materials. Adv Water Res. 2008; 30: 1648-1667.
15. Smith JM. Chemical Engineering Kinetics. New York: McGraw Hill, 1981.
16. Hounslow MJ. A discretized population balance for continuous systems at steady state. AIChE J. 1990; 36: 106-116.
17. Williams MMR. Loyalka SK. Aerosol Science, Theory and Practice. New York; Pergamon Press; 1991.
18. Astrom JA. Statistical models of brittle fragmentation. Adv Phys. 2006; 55: 247-278.
19. Crump JG, Seinfeld JH. On existence of steady state solutions to the coagulation equations. J Colloid Interface Sci. 1982; 90: 469-476.
20. Kostoglou M, Karabelas AJ. On the self-similarity of the coagulation-fragmentation equilibrium particle-size distribution. J Aerosol Sci. 1999; 30: 157-162.