AC electrohydrodynamic instabilities in thin liquid films

Journal of Fluid Mechanics

Volumn 631, Issue , 2009, Pages 255-279

  Roberts, Scott A ^a   Kumar, Satish ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC FILMS; ELECTROHYDRODYNAMICS; LIQUID FILMS; MICROELECTRONICS;

AC ELECTRIC FIELD; DC ELECTRIC FIELD; ELECTROHYDRODYNAMIC INSTABILITY; HIGH FREQUENCY HF; LEAKY DIELECTRICS; LUBRICATION THEORY; NONLINEAR SIMULATIONS; TOPOGRAPHICAL FEATURES;

LINEAR STABILITY ANALYSIS;

COMPUTER SIMULATION; DIELECTRIC PROPERTY; ELECTRIC FIELD; FILM; HYDRODYNAMICS; LIQUID; STABILITY ANALYSIS; THEORETICAL STUDY;

EID: 69649088163     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009006843     Document Type: Article

References (63)

1. ASSENDER, H., BLIZNYUK, V. & PORFYRAKIS, K. 2002 How surface topography relates to materials' properties. Science 297 (5583), 973-976.
2. BANDYOPADHYAY, D. & SHARMA, A. 2007 Electric field induced instabilities in thin confined bilayers. J. Colloid Interface Sci. 311 (2), 595-608.
3. BENJAMIN, T. B. & URSELL, F. 1954 The stability of the plane free surface of a liquid in vertical periodic motion. Proc. R. Soc. London, Ser. A 225, 505-515.
4. BRENAN, K. E., CAMPBELL, S. L. V. & PETZOLD, L. R. 1996 Numerical Solution of Initial Value Problems in Differential-Algebraic Equations. SIAM Classics Series.
5. BRISKMAN, V. A. & SHAIDUROV, G. F. 1968 Parametric instability of a fluid surface in an alternating electric field. Dokl. Akad. Nauk 13 (6), 540-542.
6. CHOU, S. Y. & ZHUANG, L. 1999 Lithographically induced self-assembly of periodic polymer micropillar arrays. J. Vac. Sci. Technol., B 17 (6), 3197-3202.
7. CHOU, S. Y., ZHUANG, L. & GUO, L. 1999 Lithographically induced self-construction of polymer microstructures for resistless patterning. Appl. Phys. Lett. 75 (7), 1004-1006.
8. CONTI, M., DONATI, G., CIANCIOLO, G., STEFONI, S. & SAMOR, B. 2002 Force spectroscopy study of the adhesion of plasma proteins to the surface of a dialysis membrane: Role of the nanoscale surface hydrophobicity and topography. J. Biomed. Mater. Res. 61 (3), 370-379.
9. CRASTER, R. V. & MATAR, O. K. 2005 Electrically induced pattern formation in thin leaky dielectric films. Phys. Fluids 17 (3), 032104.
10. CURTIS, A. & WILKINSON, C. 1997 Topographical control of cells. Biomaterials 18 (24), 1573-1583.
11. DEARO, J. A., WESTON, K. D., BURATTO, S. K. & LEMMER, U. 1997 Mesoscale optical properties of conjugated polymers probed by near-field scanning optical microscopy. Chem. Phys. Lett. 277 (5-6), 532-538.
12. DELCAMPO, A., LVAREZ, I., FILIPE, S. & WILHELM, M. 2007 3D microstructured surfaces obtained by soft-lithography using fast-crosslinking elastomeric precursors and 2d masters. Adv. Funct. Mater. 17 (17), 3590-3597.
13. DESHPANDE, P., PEASE, L. F., CHEN, L., CHOU, S. Y. & RUSSEL, W. B. 2004 Cylindrically symmetric electrohydrodynamic patterning. Phys. Rev. E 70 (4), 041601.
14. DEVITT, E. B. & MELCHER, J. R. 1965 Surface electrohydrodynamics with high-frequency fields. Phys. Fluids 8 (6), 1193-1195.
15. DICKEY, M. D., GUPTA, S., LEACH, K. A., COLLISTER, E., WILLSON, C. G. & RUSSELL, T. P. 2006 Novel 3-d structures in polymer films by coupling external and internal fields. Langmuir 22 (9), 4315-4318.
16. DICKEY, M., RAINES, A., COLLISTER, E., BONNECAZE, R., SREENIVASAN, S. & WILLSON, C. 2007 High-aspect ratio polymeric pillar arrays formed via electrohydrodynamic patterning. J. Mater. Sci. 43 (1), 117-122.
17. EDWARDS, W. S. & FAUVE, S. 1994 Patterns and quasi-patterns in the faraday experiment. J. Fluid Mech. 278, 123-148.
18. FARADAY, M. 1831 On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Phil. Trans. R. Soc. Lond. 121, 294-340.
19. GONZÁLEZ, H., CASTELLANOS, A., BARRERO, A. & MCCLUSKEY, F. M. J. 1989 Stabilization of dielectric liquid bridges by electric fields in the absence of gravity. J. Fluid Mech. 206, 545-561.
20. GONZŹALEZ, H., GARCIA, F. J. & CASTELLANOS, A. 2003 Stability analysis of conducting jets under ac radial electric fields for arbitrary viscosity. Phys. Fluids 15 (2), 395-407.
21. GONŹALEZ, H., RAMOS, A. & CASTELLANOS, A. 1997 Parametric instability of dielectric, slightly viscous liquid jets under ac electric fields. Phys. Fluids 9 (6), 1830-1837.
22. GONŹALEZ, H., RAMOS, A. & CASTELLANOS, A. 1999 Parametric instability of conducting, slightly viscous liquid jets under periodic electric fields. J. Electrostat. 47 (1-2), 27-38.
23. HARRISON, C., STAFFORD, C. M., ZHANG, W. & KARIM, A. 2004 Sinusoidal phase grating created by a tunably buckled surface. Appl. Phys. Lett. 85 (18), 4016-4018.
24. KIM, D. & LU, W. 2006 Three-dimensional model of electrostatically induced pattern formation in thin polymer films. Phys. Rev. B 73 (3), 035206.
25. KUMAR, K. & BAIAJ, K. M. S. 1995 Competing patterns in the Faraday experiment. Phys. Rev. E 52 (5), R4606-R4609.
26. LEACH, K. A., GUPTA, S., DICKEY, M. D., WILLSON, C. G. & RUSSELL, T. P. 2005 Electric field and dewetting induced hierarchical structure formation in polymer/polymer/air trilayers. Chaos 15 (4), 047506.
27. LEE, B. S., CHO, H.-J., LEE, J.-G., HUH, N., CHOI, J.-W. & KANG, I. S. 2006a Drop formation via breakup of a liquid bridge in an ac electric field. J. Colloid Interface Sci. 302 (1), 294-307.
28. LEE, S. H., KIM, P., JEONG, H. E. & SUH, K. Y. 2006b Electrically induced formation of uncapped, hollow polymeric microstructures. J. Micromech. Microengng 16 (11), 2292-2297.
29. LEI, X., WU, L., DESHPANDE, P., YU, Z., WU, W., GE, H. & CHOU, S. Y. 2003 100 nm period gratings produced by lithographically induced self-construction. Nanotechnology 14 (7), 786-790.
30. LIN, Z., KERLE, T, BAKER, S. M., HOAGLAND, D. A., SCHAFFER, E., STEINER, U. & RUSSELL, T. P. 2001 Electric field induced instabilities at liquid/liquid interfaces. J. Chem. Phys. 114 (5), 2377-2381.
31. LIN, Z., KERLE, T., RUSSELL, T. P., SCHAFFER, E. & STEINER, U. 2002 Structure formation at the interface of liquid/liquid bilayer in electric field. Micromolecules 35 (10), 3971-3976.
32. MELCHER, J. R. & SMITH, C. V. 1969 Electrohydrodynamic charge relaxation and interfacial perpendicular-field instability. Phys. Fluids 12 (4), 778-790.
33. MELCHER, J. R. & WARREN, E. P. 1966 Continuum feedback control of a Rayleigh-Taylor type instability. Phys. Fluids 9 (11), 2085-2094.
34. MORARIU, M. D., VOICU N. E., SCHAFFER, E., LIN, Z., RUSSELL, T. P. & STEINER, U. 2003 Hierarchical structure formation and pattern replication induced by an electric field. Nat. Mater. 2 (1), 48-52.
35. NABETANI, Y., YAMASAKI, M., MIURA, A. & TAMAI, N. 2001 Fluorescence dynamics and morphology of electroluminescent polymer in small domains by time-resolved SNOM. Thin Solid Films 393 (1-2), 329-333.
36. PEASE, L. F. & RUSSEL, W. B. 2002 Linear stability analysis of thin leaky dielectric films subjected to electric fields. J. Non-Newtonian Fluid Mech. 102 (2), 233-250.
37. PEASE, L. F. & RUSSEL, W. B. 2003 Electrostatically induced submicron patterning of thin perfect, and leaky dielectric films: A generalized linear stability analysis. J. Chem. Phys. 118 (8), 3790-3803.
38. PEASE, L. F. & RUSSEL, W. B. 2004 Limitations on length scales for electrostatically induced submicrometer pillars and holes. Langmuir 20 (3), 795-804.
39. PEASE, L. F. & RUSSEL, W. B. 2006 Charge driven, electrohydrodynamic patterning of thin films. J. Chem. Phys. 125 (18), 184716.
40. RANUCCI, C. S. & MOGHE, P. V. 2001 Substrate microtopography can enhance cell adhesive and migratory responsiveness to matrix ligand density. J. Biomed. Mater. Res. 54 (2), 149-161.
41. REYNOLDS, J. M. 1965 Stability of an electrostatically supported fluid column. Phys. Fluids 8 (1), 161-170.
42. ROBERTS, S. A. 2009 Stability of microscale fluid interfaces: A study of fluid flows near soft substrates and pattern formation under electrostatic fields. PhD thesis, University of Minnesota (in preparation).
43. ROBINSON, J. A., BERGOUGNOU, M. A., CAIRNS, W. L., CASTLE, G. S. P. & INCULET, I. I. 2000 Breakdown of air over a water surface stressed by a perpendicular alternating electric field, in the presence of a dielectric barrier. IEEE Trans. Ind. Appl. 36 (1), 68-75.
44. ROBINSON, J. A., BERGOUGNOU, M. A., CASTLE, G. S. P. & INCULET, I. I. 2001 The electric field at a water surface stressed by an AC voltage. IEEE Trans. Ind. Appl. 37 (3), 735-742.
45. ROBINSON, J. A., BERGOUGNOU, M. A., CASTLE, G. S. P. & INCULET, I. I. 2002 A nonlinear model of AC-field-induced parametric waves on a water surface. IEEE Trans. Ind. Appl. 38 (2), 379-388.
46. RUSSEL, W. B., SAVILLE, D. A. & SCHOWALTER, W. R. 1989 Colloidal Dispersions. Cambridge University Press.
47. SATO, M. 1984 The production of essentially uniform-sized liquid droplets in gaseous or immiscible liquid media under applied A.C. potential. J. Electrostat. 15 (2), 237-247.
48. SAVILLE, D. A. 1997 Electrohydrodynamics: The Taylor-Melcher leaky dielectric model. Annu. Rev. Fluid Mech. 29 (1), 27-64.
49. SCHÄFFER, E., THURN-ALBRECHT, T., RUSSELL, T. P. & STEINER, U. 2000 Electrically induced structure formation and pattern transfer. Nature 403 (6772), 874-877.
50. SCHÄFFER, E., THURN-ALBRECHT, T., RUSSELL, T. P. & STEINER, U. 2001 Electrohydrodynamic instabilities in polymer films. Europhys. Lett. 53 (4), 518-524.
51. SHANKAR, V. & SHARMA, A. 2004 Instability of the interface between thin fluid films subjected to electric fields. J. Colloid Interface Sci. 274 (1), 294-308.
52. TAYLOR, G. I. & MCEWAN, A. D. 1965 The stability of a horizontal fluid interface in a vertical electric field. J. Fluid Mech. 22 (1), 1-15.
53. THAOKAR, R. M. & KUMARAN, V. 2005 Electrohydrodynamic instability of the interface between two fluids confined in a channel. Phys. Fluids 17 (8), 084104.
54. TOPAZ, C. M., PORTER, J. & SILBER, M. 2004 Multifrequency control of faraday wave patterns. Phys. Rev. E 70 (6), 066206.
55. TSAI, I. Y., KIMURA, M., STOCKTON, R., GREEN, J. A., PUIG, R., JACOBSON, B. & RUSSELL, T. P. 2004 Fibroblast adhesion to micro- and nano-heterogeneous topography using diblock copolymers and homopolymers. J. Biomed. Mater. Res. A 71A (3), 462-469.
56. VERMA, R., SHARMA, A., KARGUPTA, K. & BHAUMIK, J. 2005 Electric field induced instability and pattern formation in thin liquid films. Langmuir 21 (8), 3710-3721.
57. VOICU, N. E., HARKEMA, S. & STEINER, U. 2006 Electric-field-induced pattern morphologies in thin liquid films. Adv. Funct. Mater. 16 (7), 926-934.
58. VOUICO, N. E., SAIFULLAH, M. S. M., SUBRAMANIAN, K. R. V., WELLAND, M. E. & STEINER, U. 2007 TiO2 patterning using electro-hydrodynamic lithography. Soft Matter. 3, 554-557.
59. WU, L. & CHOU, S. Y. 2003 Dynamic modelling and scaling of nanostructure formation in the lithographically induced self-assembly and self-construction. Appl. Phys. Lett. 82 (19), 3200-3202.
60. WU, N., PEASE, L. F. & RUSSEL, W. B. 2005 Electric-field-induced patterns in thin polymer films: Weakly nonlinear and fully nonlinear evolution. Langmuir 21 (26), 12290-12302.
61. WU, N. & RUSSEL, W. B. 2005 Dynamics.of the formation of polymeric microstructures induced by electrohydrodynamic instability. Appl. Phys. Lett. 86 (24), 241912.
62. YEO, L. Y., LASTOCHKIN, D., WANG, S.-C. & CHANG, H.-C. 2004 A new AC electrospray mechanism by Maxwell-Wagner polarization and capillary resonance. Phys. Rev. Lett. 92 (13), 133902.
63. YIH, C.-S. 1968 Stability of a horizontal fluid interface in a periodic vertical electric field. Phys. Fluids 11 (7)9 1447-1449.