Theoretical analysis of the influence of the axial variation of the transmembrane pressure in cross-flow filtration of rigid spheres

Journal of Membrane Science

Volumn 152, Issue 1, 1999, Pages 71-87

  Mondor, M ^a   Moresoli, C ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

Concentration polarization; Microfiltration; Rigid particles; Transmembrane pressure

Indexed keywords

DIFFUSION IN SOLIDS; FLOW OF FLUIDS; HYDRODYNAMICS; MATHEMATICAL MODELS; MICROFILTRATION; PARTICLES (PARTICULATE MATTER); POLARIZATION; PRESSURE DROP; SPHERES; SURFACE PHENOMENA;

TRANSMEMBRANE PRESSURE;

FIBROUS MEMBRANES;

CROSSFLOW FILTRATION; HYDRODYNAMICS; MEMBRANE; PRESSURE DROP; PRESSURE FLUCTUATION;

ARTICLE; HYDRODYNAMICS; MEMBRANE; MEMBRANE FILTER; MICROFILTRATION; MODEL; PARTICULATE MATTER; PRIORITY JOURNAL; THEORETICAL STUDY;

EID: 0033528051     PISSN: 03767388     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0376-7388(98)00198-7     Document Type: Article

References (18)

1. Heath C.A., Belfort G., Hammer B.E., Mirer S.D., Pimbley J.M. Magnetic resonance imaging and modeling of flow in hollow-fiber bioreactors. AIChE J. 36(4):1990;547-558.
2. Belfort G., Davis R.H., Zydney A.L. The behavior of suspensions and macromolecular solutions in cross-flow microfiltration. J. Membr. Sci. 96:1994;1-58.
3. Fell C.J.D., Kim K.J., Chen V., Willey D.E., Fane A.G. Factors determining flux and rejection of ultrafiltration membranes. Chem. Eng. Proc. 27(3):1990;165-173.
4. Howell J.A., Velicangil O., Le M.S., Zeppelin L.H. Ultrafiltration of protein solutions. Ann. NY Acad. Sci. 369:1981;355-366.
5. Mallubhotla H., Nunes E., Belfort G. Microfiltration of yeast suspensions with self-cleaning spiral vortices: possibilities for a new membrane module design. Biotechnol. Bioeng. 48(4):1995;375-385.
6. Redkar S.G., Davis R.H. Cross flow microfiltration with high frequency reverse filtration. AIChE J. 41(3):1995;501-508.
7. W.F. Blatt, A. Dravid, A.S. Michaels, L. Nelsen, Solute polarization and cake formation in membrane ultrafiltration: causes, consequences, and control techniques, in: Membrane Science and Technology, Plenum Press, New York, 1970.
8. Porter M.C. Concentration polarization with membrane ultrafiltration. Ind. Eng. Chem. Prod. Res. Dev. 11:1972;233-248.
9. Zydney A.L., Colton C.K. A concentration polarization model for the filtrate flux in cross-flow microfiltration of particulate suspensions. Chem. Eng. Commun. 47:1986;1-21.
10. M. Cheryan, Ultrafiltration Handbook, Technomic Publishing Company, Lancaster, 1986.
11. Song L., Elimelech M. Theory of concentration polarization in crossflow filtration. J. Chem. Soc., Faraday Trans. 91(19):1995;3389-3398.
12. Romero C.A., Davis R.H. Global model of cross-flow microfiltration based on hydrodynamic particle diffusion. J. Membr. Sci. 39:1988;157-185.
13. Davis R.H., Leighton D.T. Shear-induced transport of a particle layer along a porous wall. Chem. Eng. Sci. 42:1987;275-281.
14. Davis R.H., Sherwood J.D. A similarity solution for steady-state cross-flow microfiltration. Chem. Eng. Sci. 45(11):1990;3203-3209.
15. Taylor D.G., Piret J.M., Bowen B.D. Protein polarization in isotropic membrane hollow-fiber bioreactors. AIChE J. 40(2):1994;321-333.
16. Berman A.S. Laminar flow in channels with porous walls. J. Appl. Phys. 24:1953;1232-1235.
17. Apelblat A., Katzir-Katchalsky A., Silberberg A. A mathematical analysis of capillary-tissue fluid exchange. Biorheology. 11:1974;1-49.
18. Leighton D.T., Acrivos A. Viscous resuspension. Chem. Eng. Proc. 41:1986;1377-1384.