Streaming-potential phenomena in the thin-Debye-layer limit. Part 2. Moderate Péclet numbers

Journal of Fluid Mechanics

Volumn 704, Issue , 2012, Pages 109-136

  Schnitzer, Ory ^a   Frankel, Itzchak ^a   Yariv, Ehud ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

colloids; low Reynolds number flows

Indexed keywords

COLLOIDS; ELECTRIC FIELDS; REYNOLDS NUMBER;

CONSISTENT ANALYSIS; DIFFUSION EQUATIONS; HARTMANN NUMBERS; INDUCED ELECTRIC FIELDS; LOW REYNOLDS NUMBER FLOW; MACROSCALE MODELS; SCALING RELATIONSHIPS; STREAMING POTENTIAL;

NONLINEAR EQUATIONS;

ADVECTION-DIFFUSION EQUATION; BOUNDARY CONDITION; COLLOID; ELECTRIC FIELD; FLOW MODELING; FLUID MECHANICS; NONLINEARITY; REYNOLDS NUMBER;

EID: 84863755146     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.221     Document Type: Article

References (30)

1. ALEXANDER, B. M. & PRIEVE, D. C. 1987 A hydrodynamic technique for measurement of colloidal forces. Langmuir 3 (5), 788-795.
2. BIKE, S. G. & PRIEVE, D. C. 1990 Electrohydrodynamic lubrication with thin double layers. J. Colloid Interface Sci. 136 (1), 95-112.
3. BIKE, S. G. & PRIEVE, D. C. 1992 Electrohydrodynamics of thin double layers: a model for the streaming potential profile. J. Colloid Interface Sci. 154, 87-96.
4. BOOTH, F. 1950 The cataphoresis of spherical, solid non-conducting particles in a symmetrical electrolyte. Proc. R. Soc. Lond. Ser. A. Math. Phys. Sci. 203 (1075), 514.
5. BOOTH, F. 1954 Sedimentation potential and velocity of solid spherical particles. J. Chem. Phys. 22, 1956-1968.
6. BRENNER, H. 1964 The Stokes resistance of an arbitrary particle. Part 4. Arbitrary fields of flow. Chem. Engng Sci. 19, 703-727.
7. COX, R. G. 1997 Electroviscous forces on a charged particle suspended in a flowing liquid. J. Fluid Mech. 338, 1-34.
8. DUKHIN, S. S. 1993 Non-equilibrium electric surface phenomena. Adv. Colloid Interface Sci. 44, 1-134. (Pubitemid 23674759)
9. HAPPEL, J. & BRENNER, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
10. KEH, H. J. & ANDERSON, J. L. 1985 Boundary effects on electrophoretic motion of colloidal spheres. J. Fluid Mech. 153, 417-439. (Pubitemid 15494047)
11. LEAL, L. G. 2007 Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes. Cambridge University Press.
12. MICHELIN, S. & LAUGA, E. 2011 Optimal feeding is optimal swimming for all Ṕeclet numbers. Phys. Fluids 23, 101901.
13. MORRISON, F. A. 1970 Electrophoresis of a particle of arbitrary shape. J. Colloid Interface Sci. 34, 210-214.
14. O'BRIEN, R. W. & WHITE, L. R. 1978 Electrophoretic mobility of a spherical colloidal particle. J. Chem. Soc. Faraday Trans. 2 (74), 1607-1626.
15. OHSHIMA, H., HEALY, T. W., WHITE, L. R. & O'BRIEN, R. W. 1984 Sedimentation velocity and potential in a dilute suspension of charged spherical colloidal particles. J. Chem. Soc. Faraday Trans. 80 (10), 1299-1317.
16. OVERBEEK, J. T. G. 1943 Theorie der Elektrophorese: der Relaxationseffekt. Kolloid-Beihefte 54, 287.
17. PRIEVE, D. C., EBEL, J. P., ANDERSON, J. L. & LOWELL, M. E. 1984 Motion of a particle generated by chemical gradients. Part 2. Electrolytes. J. Fluid Mech. 148, 247-269.
18. RUBINSTEIN, I. & ZALTZMAN, B. 2001 Electro-osmotic slip of the second kind and instability in concentration polarization at electrodialysis membranes. Math. Models Meth. Appl. Sci. 11, 263-300.
19. SAVILLE, D. A. 1977 Electrokinetic effects with small particles. Annu. Rev. Fluid Mech. 9, 321-337.
20. SCHNITZER, O., KHAIR, A. & YARIV, E. 2011 Irreversible electrokinetic repulsion in zero-Reynolds-number sedimentation. Phys. Rev. Lett. 107, 278301.
21. SMOLUCHOWSKI, M. 1921 Elektrische Endosmose und Str̈omungsstr̈ ome. In Handbuch der Elektrizitt und des Magnetismus, vol. II, Stationre Strome (ed. L. Graetz). Barth.
22. TABATABAEI, S. M., VAN DE VEN, T. G. M. & REY, A. D. 2006 Electroviscous sphere-wall interactions. J. Colloid Interface Sci. 301 (1), 291-301. (Pubitemid 44092755)
23. VAN DYKE, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
24. VAN DE VEN, T. G. M., WARSZYNSKI, P. & DUKHIN, S. S. 1993 Electrokinetic lift of small particles. J. Colloid Interface Sci. 157 (2), 328-331.
25. WARSZYSKI, P., WU, X. & VAN DE VEN, T. 1998 Electrokinetic lift force for a charged particle moving near a charged wall: a modified theory and experiment. Colloid Surf. A 140 (1-3), 183-198. (Pubitemid 28341713)
26. YARIV, E. 2006 Force-free electrophoresis? Phys. Fluids 18, 031702.
27. YARIV, E. 2010 An asymptotic derivation of the thin-Debye-layer limit for electrokinetic phenomena. Chem. Engng Commun. 197, 3-17.
28. YARIV, E. & DAVIS, A. 2010 Electro-osmotic flows over highly polarizable dielectric surfaces. Phys. Fluids 22, 052006.
29. YARIV, E., SCHNITZER, O. & FRANKEL, I. 2011 Streaming-potential phenomena in the thin-Debye-layer limit. Part 1. General theory. J. Fluid Mech. 685, 306-334.
30. YOSSIFON, G., FRANKEL, I. & MILOH, T. 2007 Symmetry breaking in induced-charge electro-osmosis over polarizable spheroids. Phys. Fluids 19, 068105.