Electro-hydrodynamic particle levitation on electrodes

Journal of Fluid Mechanics

Volumn 645, Issue , 2010, Pages 187-210

  Yariv, Ehud ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROHYDRODYNAMICS; ELECTROOSMOSIS; SHEAR DEFORMATION;

COLLOIDAL PARTICLE; HYDRODYNAMIC FLOWS; HYDRODYNAMIC FORCES; HYDRODYNAMIC PARTICLES; MATCHED ASYMPTOTIC EXPANSION; PARTICLE CLUSTERS; PRESSURE BUILD UP; SINGULAR PERTURBATIONS;

ELECTRODES;

COLLOID; ELECTRIC FIELD; ELECTRODE; FLOW FIELD; HYDRODYNAMIC FORCE; HYDRODYNAMICS; PARTICLE MOTION; PERTURBATION;

EID: 77952375055     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009992631     Document Type: Article

References (51)

1. Bazant, M. Z., Chu, K. T. & Bayly, B. J. 2005 Current-voltage relations for electrochemical thin films. SIAM J. Appl. Math. 65, 1463-1484.
2. Bazant, M. Z. & Squires, T. M. 2004 Induced-charge electrokinetic phenomena: theory and microfluidic applications. Phys. Rev. Lett. 92, 066101.
3. Böhmer, M. 1996 In situ observation of 2-dimensional clustering during electrophoretic deposition. Langmuir 12, 5747-5750.
4. Cox, R. G. 1997 Electroviscous forces on a charged particle suspended in a flowing liquid. J. Fluid Mech. 338, 1-34.
5. Cox, R. G. & Brenner, H. 1967 The slow motion of a sphere through a viscous fluid towards a plane surface-II. Small gap widths, including inertial effects. Chem. Engng Sci. 22, 1753-1777.
6. Dukhin, S. S. 1965 Diffusion-electrical theory of electrophoresis. In Twentieth Intl Cong. on Pure and Applied Chemistry, vol.A72, p. 68, Moscow.
7. van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic Press.
8. Fagan, J. A., Sides, P. J. & Prieve, D. C. 2002 Vertical oscillatory motion of a single colloidal particle adjacent to an electrode in an ac electric field. Langmuir 18, 7810-7820.
9. Fagan, J. A., Sides, P. J. & Prieve, D. C. 2004 Vertical motion of a charged colloidal particle near an AC polarized electrode with a non-uniform potential distribution: theory and experimental evidence. Langmuir 20, 4823-4834.
10. Fagan, J. A., Sides, P. J. & Prieve, D. C. 2006 Mechanism of rectified lateral motion of particles near electrodes in alternating electric fields below 1 kHz. Langmuir 22, 9846-9852.
11. Goldman, A. J., Cox, R. & Brenner, H. 1967 Slow viscous motion of a sphere parallel to a plane wall-I. Motion through a quiescent fluid. Chem. Engng Sci. 22, 637-651.
12. Gong, T. & Marr, D. W. M. 2001 Electrically switchable colloidal ordering in confined geometries. Langmuir 17, 2301-2304.
13. Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
14. Hinch, E. J. 1991 Perturbation Methods. Cambridge University Press.
15. Jeffrey, D. J. 1978 The temperature field or electric potential around two almost touching spheres. J. Inst. Math. Appl. 22, 337-351.
16. Jeffrey, D. J. & Chen, H. S. 1977 The virtual mass of a sphere moving towards a plane wall. J. Appl. Mech. 44, 166-167.
17. Keh, H. J. & Anderson, J. L. 1985 Boundary effects on electrophoretic motion of colloidal spheres. J. Fluid Mech. 153, 417-439.
18. Keh, H. J. & Lien, L. C. 1989 Electrophoresis of a dielectric sphere normal to a large conducting plane. J. Chin. Inst. Chem. Engng 20, 283-290.
19. Keller, J. B. 1963 Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders. J. Appl. Phys. 34, 991-993.
20. Kim, J., Anderson, J. L., Garoff, S. & Sides, P. J. 2002a Effects of zeta potential and electrolyte on particle interactions on an electrode under ac polarization. Langmuir 18 (14), 5387-5391.
21. Kim, J., Guelcher, S. A., Garoff, S. & Anderson, J. L. 2002b Two-particle dynamics on an electrode in ac electric fields. Adv. Colloid Interface 96, 131-142.
22. Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.
23. Loewenberg, M. & Davis, R. H. 1995 Near-contact electrophoretic particle motion. J. Fluid Mech. 288, 103-122.
24. Lumsdon, S. O., Kaler, E. W., Williams, J. P. & Velev, O. D. 2003 Dielectrophoretic assembly of oriented and switchable two-dimensional photonic crystals. Appl. Phys. Lett. 82, 949-951.
25. Moon, P. & Spencer, D. E. 1988 Field Theory Handbook. Springer.
26. Nadal, F., Argoul, F., Hanusse, P., Pouligny, B. & Ajdari, A. 2002 Electrically induced interactions between colloidal particles in the vicinity of a conducting plane. Phys. Rev. E 65 (6), 61409.
27. Newman, J. S. 1973 Electrochemical Systems. Prentice-Hall.
28. O'Brien, R. W. 1983 The solution of the electrokinetic equations for colloidal particles with thin double layers. J. Colloid Interface Sci. 92 (1), 204-216.
29. Reed, L. D. & Morrison, F. A. 1976 Hydrodynamic interactions in electrophoresis. J. Colloid Interface Sci. 54, 117-133.
30. Ristenpart, W. D., Aksay, I. A. & Saville, D. A. 2004 Assembly of colloidal aggregates by electrohydrodynamic flow: kinetic experiments and scaling analysis. Phys. Rev. E 69, 21405.
31. Ristenpart, W. D., Aksay, I. A. & Saville, D. A. 2007a Electrically driven flow near a colloidal particle close to an electrode with a Faradaic current. Langmuir 23, 4071-4080.
32. Ristenpart, W. D., Aksay, I. A. & Saville, D. A. 2007b Electrohydrodynamic flow around a colloidal particle near an electrode with an oscillating potential. J. Fluid Mech. 575, 83-109.
33. Rubinstein, I. & Shtilman, L. 1979 Voltage against current curves of cation exchange membranes. J. Chem. Soc. Faraday Trans. 2 75, 231-246.
34. Rubinstein, I. & Zaltzman, B. 2000 Electro-osmotically induced convection at a permselective membrane. Phys. Rev. E 62, 2238-2251.
35. Rubinstein, I. & Zaltzman, B. 2001 Electro-osmotic slip of the second kind and instability in concentration polarization at electrodialysis membranes. Math. Models Methods Appl. Sci. 11, 263-300.
36. Rubinstein, I., Zaltzman, B. & Kedem, O. 1997 Electric fields in and around ion-exchange membranes. J. Membr. Sci. 125, 17-21.
37. Russel, W. B., Saville, D. A. & Schowalter, W. R. 1989 Colloidal Dispersions. Cambridge University Press.
38. Sides, P. J. 2001 Electrohydrodynamic particle aggregation on an electrode driven by an alternating electric field normal to it. Langmuir 17, 5791-5800.
39. Sides, P. J. 2003 Calculation of electrohydrodynamic flow around a single particle on an electrode. Langmuir 19, 2745-2751.
40. Sides, P. J. & Tobias, C. W. 1980 Primary potential and current distribution around a bubble on an electrode. J. Electrochem. Soc. 127, 288-291.
41. Sneddon, I. N. 1972 The Use of Integral Transforms. McGraw-Hill.
42. Solomentsev, Y., Böhmer, M. & Anderson, J. L. 1997 Particle clustering and pattern pormation during electrophoretic deposition: a hydrodynamic model. Langmuir 13, 6058-6068.
43. Solomentsev, Y., Guelcher, S. A., Bevan, M. & Anderson, J. L. 2000 Aggregation dynamics for two particles during electrophoretic deposition under steady fields. Langmuir 16, 9208-9216.
44. Squires, T. M. & Bazant, M. Z. 2004 Induced-charge electro-osmosis. J. Fluid Mech. 509, 217-252.
45. Trau, M., Saville, D. A. & Aksay, I. A. 1996 Field-induced layering of colloidal crystals. Science 272, 706.
46. Trau, M., Saville, D. A. & Aksay, I. A. 1997 Assembly of colloidal crystals at electrode interfaces. Langmuir 13, 6375-6381.
47. Velev, O. & Kaler, E. 1999 In situ assembly of colloidal particles into miniaturized biosensors. Langmuir 15, 3693-3698.
48. Wong, E. M. & Searson, P. C. 1999 ZnO quantum particle thin films fabricated by electrophoretic deposition. Appl. Phys. Lett. 74, 2939-2941.
49. Yariv, E. 2008 Nonlinear electrophoresis of ideally polarizable spherical particles. Europhys. Lett. 82, 54004.
50. Yariv, E. 2010 An asymptotic derivation of the thin-Debye-layer limit for electrokinetic phenomena. Chem. Engng Commun. 197, 3-17.
51. Zaltzman, B. & Rubinstein, I. 2007 Electro-osmotic slip and electroconvective instability. J. Fluid Mech. 579, 173-226.