Irreversible chemical potential and shear-induced diffusion in crossflow filtration

Industrial and Engineering Chemistry Research

Volumn 47, Issue 15, 2008, Pages 5611-5614

  Kim, Albert S ^a   Liu, Yuewei ^a  

^a University of Hawaii at Manoa   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL-; CONCENTRATED SUSPENSIONS; CROSS-FLOW FILTRATION; CROSS-FLOW MEMBRANE FILTRATION; DRAG FORCES; NON-EQUILIBRIUM; SHEAR-INDUCED DIFFUSION;

CHEMICAL POTENTIAL; CHEMICALS; DIFFUSION; DRAG; FILTRATION; POROUS MATERIALS; SEMICONDUCTOR DOPING;

MICROFILTRATION;

EID: 49549086413     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie0714403     Document Type: Article

References (29)

1. American Water Works Association Research Foundation. Water Treatment Membrane Processes; McGraw-Hill: New York, 1996.
2. Mulder, M. Basic Principles of Membrane Technology; Kluwer Academic Publishers: Boston, MA, 1996.
3. Bacchin, P.; Aimar, P.; Field, R. Critical and sustainable fluxes: Theory, experiments and applications. J. Membr. Sci. 2086, 281, 42-69.
4. Romero, C. A.; Davis, R. H. Transient model of crossflow micro-filtration. Chem. Eng. Sci. 1990, 45, 13-25.
5. Song, L. F.; Elimelech, M. Theory of concentration polarization crossflow filtration. J. Chem. Soc., Faraday Trans. 1995, 91, 3389-3398.
6. Sethi, S.; Wiesner, M. R. Modeling of transient permeate flux in cross-flow membrane filtration incorporating multiple particle transport mechanisms. J. Membr. Sci. 1997, 136, 191-205.
7. Segre, G.; Silberberg, A. Radial particle displacements in poiseuille flow of suspensions. Nature (London) 1961, 189, 209-210.
8. Chellam, S.; Wiesner, M. R. Particle transport in clean membrane filters in laminar flow. Environ. Sci. Technol. 1992, 26, 1611-1621.
9. Einstein, A. Investigation on the Theory of the Brownian Movement; Dover Publications: New York, 1956.
10. Leighton, D.; Acrivos, A. Measurement of the shear induced coefficient of self-diffusion in concentration suspensions of spheres. J. Fluid Mech. 1987, 177, 109-131.
11. Leighton, D.; Acrivos, A. The shear-induced migration of particles in concentrated suspensions. J. Fluid Mech. 1987, 151, 415-439.
12. Chellam, S.; Liu, M. Effect of slip on existence, uniqueness, and behavior of similarity solutions for steady incompressible laminar flow in porous tubes and channels. Phys. Fluids 2006, 18, 083601.
13. Eu, B. C. Generalized Thermodynamics: Thermodynamics of Irreversible Processes and Generalized Hydrodynamics (Fundamental Theories of Physics); Kluwer Academic Publishers: New York, 2002.
14. Førland, K. S.; Førland, T.; Ratkje, S. K. Irreversible Thermodynamics: Theory and Applications; John Wiley and Sons: New York, 1988.
15. Hiemenz, P. C. Principles of Colloid and Surface Chemistry; Marcel Dekker: New York, 1986.
16. Batchelor, G. K. Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 1976, 74, 1-29.
17. Hansen, J. P.; McDonald, I. R. Theory of Simple Liquids; Academic Press: London, 1976.
18. Hunter, R. J. Foundations of Colloid Science; Oxford University Press: New York, 1986.
19. Russel, W. B.; Saville, D. A.; Schowalter, W. R. Colloidal Dispersions; Cambridge University Press: New York, 1989.
20. Carnahan, N. F.; Starling, K. E. Equation of state for nonattracting rigid spheres. J. Chem. Phys. 1969, 51, 635-636.
21. Kim, A. S.; Stolzenbach, K. D. The permeability of synthetic fractal aggregates with realistic three-dimensional structure. J. Colloid Interface Sci. 2802, 253, 315-328.
22. Bhattacharjee, S.; Kim, A. S.; Elimelech, M. Concentration polarization of interacting solute particles in cross-flow membrane filtration. J. Colloid Interface Sci. 1999, 212, 81-99.
23. Leighton, D.; Acrivos, A. Viscous resuspension. Chem. Eng. Sci. 1986, 41, 1377-1384.
24. Sierou, A.; Brady, J. F. Shear-induced self-diffusion in non-colloidal suspensions. J. Fluid Mech. 2084, 506, 285-314.
25. Zarraga, I. E.; Leighton, D. T. Shear-induced diffusivity in a dilute bidisperse suspension of hard spheres. J. Colloid Interface Sci. 2001, 243, 503-514.
26. Lopez, M.; Graham, M. D. Shear-induced diffusion in dilute suspensions of spherical or nonspherical particles: Effects of irreversibility and symmetry breaking. Phys. Fluids 2087, 19, 073602.
27. Pine, D. J.; Gollub, J. P.; Brady, J. F.; Leshansky, A. M. Chaos and threshold for irreversibility in sheared suspensions. Nature (London) 2005, 438 (15), 997.
28. Happel, J. Viscous flow in multiparticle systems: slow motion of fluids relative to beds of spherical particles. AIChE J. 1958, 4, 197-201.
29. Kim, A. S.; Liu, Y. Critical flux of hard sphere suspensions in crossflow filtration: Hydrodynamic force bias monte carlo simulations. J. Membr. Sci., submitted.