Volume averaged reduced order Donnan Steric Pore Model for nanofiltration membranes

Desalination

Volumn 322, Issue , 2013, Pages 21-28

  Kumar, V Senthil ^a   Hariharan, Krishnan S ^a   Mayya, K Subramanya ^a   Han, Sungsoo ^b  

^a TRIDIB ^*  (India)

^b Samsung Advanced Institute of Technology (SAIT)   (South Korea)

Author keywords

Concentration polarization; Donnan Steric Pore Model; Nanofiltration; Reduced order model; Volume averaging

Indexed keywords

DATA REDUCTION; DESALINATION; ITERATIVE METHODS; MASS TRANSFER; NANOFILTRATION; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER EXTRACTION; POLARIZATION;

ALGEBRAIC EQUATIONS; CONCENTRATION POLARIZATION; DESALINATION MEMBRANES; ITERATIVE SOLUTIONS; ORIGINAL DIFFERENTIAL EQUATIONS; PORE MODELS; REDUCED ORDER MODELS; VOLUME-AVERAGING;

NANOFILTRATION MEMBRANES;

DESALINATION; EQUATION; FILTRATION; MEMBRANE; MODELING; POLARIZATION;

EID: 84878371094     PISSN: 00119164     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.desal.2013.04.030     Document Type: Article

References (26)

1. Pontie M., Derauw J.S., Plantier S., Edouard L., Bailly L. Seawater desalination: nanofiltration-a substitute for reverse osmosis?. Desalination Water Treat. 2013, 51:485-494.
2. Ivnitsky H., Minz D., Kautsky L., Preis A., Ostfeld A., Semiat R., Dosoretz C.G. Biofouling formation and modeling in nanofiltration membranes applied to wastewater treatment. J. Membr. Sci. 2010, 360:165-173.
3. Wang K.Y., Chung T.-S. The characterization of flat composite nanofiltration membranes and their applications in the separation of cephalexin. J. Membr. Sci. 2005, 247:37-50.
4. Syrios A., Faka M., Grandison A.S., Lewis M.J. A comparison of reverse osmosis, nanofiltration and ultrafiltration as concentration processes for skim milk prior to drying. Int. J. Dairy Technol. 2011, 64:467-472.
5. Volkov A.V., Korneeva G.A., Tereshchenko G.F. Organic solvent nanofiltration: prospects and application. Russ. Chem. Rev. 2008, 77:983-994.
6. Kedem O., Katchalsky A. A physical interpretation of the phenomenological coefficients of membrane permeability. J. Gen. Physiol. 1961, 45:143-179.
7. Wijmans J.G., Baker R.W. The solution-diffusion model: a review. J. Membr. Sci. 1995, 107:1-21.
8. Tsuru T., Nakao S., Kimura S. Ion separation by bipolar membranes in reverse osmosis. J. Membr. Sci. 1995, 108:269-278.
9. Nagy E. Basic Equations of the Mass Transport Through a Membrane Layer 2012, Elsevier, London.
10. Hassan A.R., Ali Noraaini, Abdulla Norhidayah, Ismailb A.F. A theoretical approach on membranes characterization: the deduction of fine structural details of asymmetric nanofiltration membranes. Desalination 2007, 206:107-126.
11. Basu S., Sharma M.M. An improved space-charge model for flow through charged microporous membranes. J. Membr. Sci. 1997, 124:77-91.
12. Sasidhar V., Ruckenstein E. Anomalous effects during electrolyte osmosis across charged porous membranes. J. Colloid Interface Sci. 1982, 85:332-362.
13. Cwirko E.H., Carbonell R.G. Transport of electrolytes in charged pores: analysis using the method of spatial averaging. J. Colloid Interface Sci. 1989, 129:513-531.
14. Silva V., Martin A.l., Martinez F., Malfeito J., Pradanos P., Palacio L., Hernandez A. Electrical characterization of NF membranes. A modified model with charge variation along the pores. Chem. Eng. Sci. 2011, 66:2898-2911.
15. Bowen W.R., Welfoot J.S. Modelling the performance of membrane nanofiltration-critical assessment and model development. Chem. Eng. Sci. 2002, 57:1121-1137.
16. Hussain A.A., Nataraj S.K., Abashar M.E.E., Al-Mutaz I.S., Aminabhavi T.M. Prediction of physical properties of nanofiltration membranes using experiment and theoretical models. J. Membr. Sci. 2008, 310:321-336.
17. Bandini S., Vezzani D. Nanofiltration modeling: the role of dielectric exclusion in membrane characterization. Chem. Eng. Sci. 2003, 58:3303-3326.
18. Oh H., Hwang T., Lee S. A simplified simulation model of RO systems for seawater desalination. Desalination 2009, 238:128-139.
19. Mohammad A.W., Ali N., Ahmad A.L., Hilal N. Optimized nanofiltration membranes: relevance to economic assessment and process performance. Desalination 2004, 165:243-250.
20. Senthil Kumar V. Reduced order model for a lithium ion cell with uniform reaction rate approximation. J. Power. Sources 2013, 222:426-441.
21. Silva V., Geraldes V., Alves A.M.B., Palacio L., Pradanos P., Hernández A. Multi-ionic nanofiltration of highly concentrated salt mixtures in the seawater range. Desalination 2011, 277:29-39.
22. Hilal N., Al-Zoubi H., Mohammad A.W., Darwish N.A. Nanofiltration of highly concentrated salt solutions up to seawater salinity. Desalination 2005, 184:315-326.
23. Mohammad A.W., Hilal N., Al-Zoubi H., Darwish N.A. Prediction of permeate fluxes and rejections of highly concentrated salts in nanofiltration membranes. J. Membr. Sci. 2007, 289:40-50.
24. Sutzkover I., Hasson D., Semiat R. Simple technique for measuring the concentration polarization level in a reverse osmosis system. Desalination 2000, 131:117-127.
25. Freger V. Swelling and morphology of the skin layer of polyamide composite membranes: an atomic force microscopy study. Environ. Sci. Technol. 2004, 38:3168-3175.
26. Kestin J., Khalifa H.E., Correia R.J. Tables of the dynamic and kinematic viscosity of aqueous NaCl solutions in the temperature range 20-150°C and the pressure range 0.1-35MPa. J. Phys. Chem. Ref. Data 1981, 10:71-87.