On maintaining consistency between the film model and the profile of the concentration polarisation layer

Journal of Membrane Science

Volumn 279, Issue 1-2, 2006, Pages 434-438

  Vasan, S S ^a   Field, Robert W ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Boundary layer Peclet number; Concentration polarisation; Concentration profile; Membrane processes; Stagnant film model; Ultrafiltration

Indexed keywords

BOUNDARY LAYERS; COMPUTATIONAL GEOMETRY; CONCENTRATION (PROCESS); MATHEMATICAL MODELS; POLARIZATION; ULTRAFILTRATION;

BOUNDARY LAYER PECLET NUMBER; CONCENTRATION POLARISATION; CONCENTRATION PROFILE; MEMBRANE PROCESSES; STAGNANT FILM MODELS;

PIPE FLOW;

BOUNDARY LAYERS; COMPUTATIONAL GEOMETRY; CONCENTRATION (PROCESS); MATHEMATICAL MODELS; PIPE FLOW; POLARIZATION; ULTRAFILTRATION;

ARTICLE; FILM; MEMBRANE; MODEL; PRIORITY JOURNAL;

EID: 33744534245     PISSN: 03767388     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.memsci.2005.12.034     Document Type: Article

References (19)

1. Zydney A.L. Stagnant film model for concentration polarization in membrane systems. J. Membr. Sci. 130 (1997) 275
2. Wesselingh J.A., and Vonk P. Ultrafiltration of a large polyelectrolyte. J. Membr. Sci. 99 (1995) 21
3. Michaels A.S. New separation technique for the CPI. Chem. Eng. Prog. 64 (1968) 31
4. Brian P.L.T. Mass transport in reverse osmosis. In: Ulrich Merten (Ed). Desalination by Reverse Osmosis (1967), MIT Press, Cambridge (Mass.)
5. Whitman W.G. Chem. Metall. Eng. 24 (1923) 147
6. Lewis W.K. Laboratory and plant: The principles of counter-current extraction. Ind. Eng. Chem. 8 7 (1916) 825
7. Bellara S.R., and Cui Z.F. Maxwell-Stefan approach to modelling the cross-flow ultrafiltration of protein solutions in tubular membranes. Chem. Eng. Sci. 53 (1998) 2153
8. De S., Bhattacharjee S., Sharma A., and Bhattacharya P.K. Generalized integral and similarity solutions of the concentration profiles for osmotic pressure controlled ultrafiltration. J. Membr. Sci. 130 (1997) 99
9. Cussler E.L. Diffusion (1997), Cambridge University Press
10. Kay J.M., and Nedderman R.M. Fluid Mechanics and Transfer Processes (1985), Cambridge University Press
11. Pritchard M., Howell J.A., and Field R.W. The ultrafiltration of viscous fluids. J. Membr. Sci. 102 (1995) 223
12. Yeh H.M., and Cheng T.W. Analysis of the slip effect on the permeate flux in membrane ultrafiltration. J. Membr. Sci. 154 (1999) 41
13. S.S. Vasan, Analysis of mass transfer in ultrafiltration, D.Phil thesis, Trinity College, Oxford, 2005.
14. Vasan S.S., Field R.W., and Cui Z.F. A Maxwell-Stefan-Gouy-Debye model of the concentration profile of a charged solute in the polarisation layer. Desalination 192 (2006) 356-363 (ICOM-2005 special issue)
15. Rabiller-Baudry M., Chaufer B., Aimar P., Bariou B., and Lucas D. Application of a convection-diffusion-electrophoretic migration model to ultrafiltration of lysozyme at different pH values and ionic strengths. J. Membr. Sci. 179 (2000) 163
16. Field R.W., and Aimar P. Ideal limiting fluxes in ultrafiltration: comparison of various theoretical relationships. J. Membr. Sci. 80 (1993) 107
17. Zeman L.J., and Zydney A.L. Microfiltration and Ultrafiltration: Principles and Applications (1996), Marcel Dekker, New York
18. Bellara S.R., Cui Z.F., and Pepper D.S. Gas sparging to enhance permeate flux in ultrafiltration using hollow fibre membranes. J. Membr. Sci. 121 (1996) 175
19. Clifton M.J., Abidine N., Aptel P., and Sanchez V. Growth of the polarization layer in ultrafiltration with hollow-fibre membranes. J. Membr. Sci. 21 (1984) 233