Generalized mass-transfer correction factor for nanofiltration and reverse osmosis

AIChE Journal

Volumn 52, Issue 10, 2006, Pages 3353-3362

  Geraldes, Vítor ^a   Afonso, Maria Diná ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Computational fluid dynamics (CFD); Concentration polarization index; Mass transfer correction factor; NF RO membrane modules; Suction

Indexed keywords

CONCENTRATION POLARIZATION INDEX; MASS TRANSFER CORRECTION FACTOR; MEMBRANE MODULES; SUCTION;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CONCENTRATION (PROCESS); MASS TRANSFER; NANOFILTRATION; OPTIMIZATION; REVERSE OSMOSIS;

OSMOSIS MEMBRANES;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CONCENTRATION (PROCESS); MASS TRANSFER; NANOFILTRATION; OPTIMIZATION; OSMOSIS MEMBRANES; REVERSE OSMOSIS;

EID: 33749494525     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10968     Document Type: Article

References (23)

1. Sherwood TK, Brian PLT, Fisher RE, Dresner L. Salt concentration at phase boundaries in desalination by reverse osmosis. Ind Eng Chem Fundam. 1965;4:113-8.
2. Rautenbach R, Albrecht R. Membrane Processes. New York: Wiley; 1989.
3. Bhattacharyya D, Williams ME. Part VI - Reverse osmosis, Chapter 22: Theory. In Ho WSW, Sirkar KK, eds. Membrane Handbook. New York: Van Nostrand Reinhold; 1992:269-280.
4. Gekas V, Ölund K. Mass transfer in the membrane concentration polarization layer under turbulent cross flow. II. Application to the characterization of ultrafiltration membranes. J Membr Sci. 1988;37: 145-163.
5. De S, Bhattacharya PK. Prediction of mass-transfer coefficient with suction in the applications of reverse osmosis and ultrafiltration. J Membr Sci. 1997;128:119-131.
6. Minnikanti VS, DasGupta S, De S. Prediction of mass-transfer coefficient with suction for turbulent flow in cross flow ultrafiltration. J Membr Sci. 1999;157:227-239.
7. van den Berg GB, Rácz IG, Smolders CA. Mass transfer coefficients in cross-flow ultrafiltration. J Membr Sci. 1989;47:25-51.
8. Zydney AL. Stagnant film model for concentration polarization in membrane systems. J Membr Sci. 1997;130:275-281.
9. Miranda JM, Campos JBLM. Mass transfer in the vicinity of a separation membrane - The applicability of the stagnant film theory. J Membr Sci. 2002;202:137-150.
10. Wiley DE, Fletcher DF. Computational fluid dynamics modelling of flow and permeation for pressure-driven membrane processes. Desalination. 2002;145:183-186.
11. Geraldes V, Semião V, de Pinho MN. Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers. Comput Struct. 2004;82:1561-1568.
12. Ghidossi R, Veyret D, Moulin P. Computational fluid dynamics applied to membranes: State of the art and opportunities. Chem Eng Process. 2006:45:437-454.
13. Bird RB, Stewart WE, Lightfoot EN. Transport Phenomena. 2nd Edition. New York: Wiley; 2002.
14. Patankar SV. Numerical Heat Transfer and Fluid Flow. New York: Hemisphere Publishing/McGraw-Hill; 1980.
15. Geraldes V, Semião V, de Pinho MN. Numerical modelling of mass transfer in slits with semi-permeable membrane walls. Engineering computations. Int J Comput-Aided Eng Software. 2000;17:192-217.
16. Berman AS. Laminar flow in channels with porous walls. J Appl Phys. 1953;24:1232-1235.
17. Davies SJ, White CM. An experimental study of the flow of water in pipes of rectangular section. Proc R Soc Lond A Phys Sci.1928;119: 92-107.
18. Lévêque MA. Les lois de la transmission de chaleur par convection. Ann Mines. 1928;13:201-415.
19. Pickett DJ, Stanmore BR. Ionic mass transfer in parallel plate electrochemical cells. J Appl Electrochem. 1972;2:151-6.
20. Ackermann G. Wärmeübergang und molekulare Stoffübertragung im gleichen Feld bei großen Temperatur- und Partialdruckdifferenzen. Ver Dtsch Ingen Forsch. 1937;382:1.
21. Colburn AP, Drew TB. The condensation of mixed vapors. Trans AIChE. 1937;33:197.
22. Krishna R. Mass and heat transfer to spheres, cylinders and planar surfaces: A unified "film" model description. Int Commun Heat Mass Transfer. 2001;28:39-48.
23. Gekas V, Hallström B. Mass transfer in the membrane concentration polarization layer under turbulent cross flow. I. Critical literature review and adaptation of existing Sherwood correlations to membrane operations. J Membr Sci. 1987;30:153-170.