A mathematical study of the evolution of fouling and operating parameters throughout membrane sheets comprising spiral wound modules

Chemical Engineering Journal

Volumn 187, Issue , 2012, Pages 222-231

  Kostoglou, Margaritis ^a   Karabelas, Anastasios J ^b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b Centre for Research Technology Hellas   (Greece)

Author keywords

Fouling spatial and temporal evolution on membrane sheets; Simulation algorithms; Spiral wound membrane modules; Theoretical analysis

Indexed keywords

ASYMPTOTIC SOLUTIONS; COMPREHENSIVE MODELING; DESIGN AND OPERATIONS; DIMENSIONLESS PARAMETERS; EXPERIMENTAL DATA; INLET PRESSURES; KEY PROCESS; MESOSCALE; MODEL EQUATIONS; MODULE DESIGN; NARROW CHANNEL; NON-UNIFORMITIES; NUMERICAL TECHNIQUES; OPERATING PARAMETERS; ORGANIC MEMBRANES; PERMEATE FLUX; SIMULATION ALGORITHMS; SPIRAL WOUND MEMBRANES; SPIRAL-WOUND MODULE; TEMPORAL EVOLUTION; THEORETICAL ANALYSIS; THEORETICAL MODELS; TRANSIENT MODEL;

MATHEMATICAL MODELS; MEMBRANE FOULING; MEMBRANE TECHNOLOGY; STORM SEWERS;

COMPUTER SIMULATION;

EID: 84857795607     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2012.01.028     Document Type: Article

References (33)

1. Water Treatment Principles and Design, Chapter 12, Membrane Filtration in Water Treatment, Wiley, New York, 2005.
2. Schwinge J., Neal P.R., Wiley D.E., Fletcher D.F., Fane A.G. Spiral wound modules and spacers. Review and analysis. J. Membr. Sci. 2004, 242:129-153.
3. Koutsou C.P., Yiantsios S.G., Karabelas A.J. Direct numerical simulation of flow in spacer-filled channels: effect of spacer geometrical characteristics. J. Membr. Sci. 2007, 291:53-69.
4. Koutsou C.P., Yiantsios S.G., Karabelas A.J. A numerical and experimental study of mass transfer in spacer-filled channels: effects of spacer geometrical characteristics and Schmidt number. J. Membr. Sci. 2009, 326:234-251.
5. Kostoglou M., Karabelas A.J. On the fluid mechanics of spiral-wound membrane modules. Ind. Eng. Chem. Res. 2009, 48:10025-10036.
6. Sioutopoulos D., Yiantsios S.G., Karabelas A.J. Relation between fouling characteristics of RO and UF membranes in experiments with colloidal organic and inorganic species. J. Membr. Sci. 2010, 350:62-82.
7. Sioutopoulos D., Karabelas A.J., Yiantsios S.G. Organic fouling of RO membranes: Investigating the correlation of RO and UF fouling resistances for predictive purposes. Desalination 2010, 261:272-283.
8. Kostoglou M., Karabelas A.J. Mathematical analysis of the meso-scale flow field in spiral wound membrane modules. Ind. Eng. Chem. Res. 2011, 50:4653-4666.
9. 4 scaling on RO membranes at various water recovery levels. Desalination 2001, 139:73-81.
10. 3 scale formation and inhibition in RO and NF membranes. J. Membr. Sci. 2007, 296:171-184.
11. Schafer A.I., Fane A.G., Waite T.D. Nanofiltration of natural organic matter: removal, fouling and the influence of multivalent ions. Desalination 1998, 118:109-122.
12. Lee S., Elimelech M. Relating organic fouling of reverse osmosis membranes to intermolecular adhesion forces. Environ. Sci. Technol. 2006, 40:980-987.
13. Ye Y., Le Clech P., Chen V., Fane A.G., Jefferson B. Fouling mechanisms of alginate solutions as model extracellular polymeric substances. Desalination 2005, 175:7-20.
14. Vrouwenvelder J.S., Graf von der Schulenburg D.A., Kruithof J.C., Johns M.L., van Loosdrecht M.C.M. Biofouling of spiral-wound nanofiltration and reverse osmosis membranes: a feed spacer problem. Water Res. 2009, 43:583-594.
15. Chen J.C., Kim A.S. Monte Carlo simulation of colloidal membrane filtration: principal issues for modeling. Adv. Colloid Interface Sci. 2006, 119:35-53.
16. Yiantsios S.G., Sioutopoulos D., Karabelas A.J. Colloidal fouling of RO membranes: an overview of key issues and efforts to develop improved prediction techniques. Desalination 2005, 183:257-272.
17. Evangelista F. Optimal design and performance of spiral wound modules. I. Numerical method. Chem. Eng. Commun. 1988, 72:69-81.
18. Ranade V.V. Computational Flow Modeling for Chemical Reactor Engineering 2002, Academic Press, New York.
19. Polyakov Y.S. Deadend outside-in hollow fiber membrane filter: mathematical model. J. Membr. Sci. 2006, 279:615-624.
20. Aris R. Mathematical Modeling Techniques 1994, Dover, New York.
21. Ranade V.V., Kumar A. Comparison of flow structures in spacer filled flat and annular channels. Desalination 2006, 191:236-244.
22. Fimbres-Weihs G.A., Wiley D.E. Review of 3D CFD modeling of flow and mass transfer in narrow spacer field channels in membrane modules. Chem. Eng. Process. 2010, 49:759-781.
23. Wardeh S., Morvan H.P. CFD simulations of flow and concentration polarization in spacer filler channels for application to water desalination. J. Chem. Eng. Res. Des. 2008, 86:1107-1116.
24. Koutsou C.P., Yiantsios S.G., Karabelas A.J. Numerical simulation of the flow in a plane channel containing a periodic array of cylindrical turbulence promoters. J. Membr. Sci. 2004, 231:81-90.
25. Guillen G., Hoek E.M.V. Modeling the impacts of feed spacer geometry on reverse osmosis and nanofiltration processes. Chem. Eng. J. 2009, 149:221-231.
26. Hoek E.M.V., Elimelech M. Cake-enhanced concentration polarization: a new fouling mechanism for salt rejecting membranes. Environ. Sci. Technol. 2003, 37:5581-5588.
27. Ruth B.F. Correlating filtration theory with industrial practice. Ind. Eng. Chem. 1946, 328:564-571.
28. Vorobiev E. Derivation of filtration equations incorporating the effect of pressure redistribution on the cake-medium interface: a constant pressure filtration. Chem. Eng. Sci. 2006, 61:3686-3697.
29. Tien C., Bai R. An assessment of the conventional cake filtration theory. Chem. Eng. Sci. 2003, 58:1323-1336.
30. Sundaramoorthy S., Srinivasan G., Murthy D.V.R. An analytical model for spiral wound reverse osmosis membranes modules: Part I - model development and parameter estimation. Desalination 2011, 280:403-411.
31. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes: The Art of Scientific Computing 1992, Cambridge University Press, New York.
32. Evangelista F. An improved analytical method for the design of spiral wounds modules. Chem. Eng. J. 1988, 38:33-40.
33. Karabelas A.J., Kostoglou M., Mitrouli S.T. Incipient crystallization of sparingly soluble salts on membrane surfaces: the case of dead-end filtration with no agitation. Desalination 2011, 273:105-117.