Electrohydrodynamic cone-jet bridges: Stability diagram and operating modes

Journal of Electrostatics

Volumn 72, Issue 4, 2014, Pages

  Liu, Fangjie ^a   Chen, Chuan Hua ^a  

^a Duke University   (United States)

Author keywords

Capillary breakup; Electrohydrodynamics; Liquid bridge; Operating modes; Stability diagram; Taylor cone jet

Indexed keywords

ELECTROHYDRODYNAMICS; HIGH SPEED CAMERAS; LIQUIDS;

HIGH SPEED VIDEO IMAGING; LIQUID BRIDGE; OPERATING DIAGRAM; OPERATING MODES; OPERATING REGIMES; STABILITY DIAGRAM; STABILITY ISLANDS; TAYLOR CONE;

STABILITY;

EID: 84903172677     PISSN: 03043886     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.elstat.2014.05.004     Document Type: Article

References (50)

1. Taylor G.I. Disintegration of water drops in an electric field. Proc. R. Soc. Lond. A 1964, 280:383-397.
2. Zhao Y., Bober D.B., Chen C.H. Nonclogging resistive pulse sensing with electrohydrodynamic cone-jet bridges. Phys. Rev. X 2011, 1:021007.
3. Zeleny J. Instability of electrified liquid surfaces. Phys. Rev. 1917, 10:1-6.
4. Taylor G.I. Electrically driven jets. Proc. R. Soc. Lond. A 1969, 313:453-475.
5. Cloupeau M., Prunet-Foch B. Electrostatic spraying of liquids in cone-jet mode. J.Electrostat. 1989, 22:135-159.
6. Reneker D.H., Yarin A.L., Zussman E., Xu H. Electrospinning of nanofibers from polymer solutions and melts. Adv. Appl. Mech. 2007, 41:43-195.
7. Fernández de la Mora J. The fluid dynamics of Taylor cones. Annu. Rev. Fluid Mech. 2007, 39:217-243.
8. González H., Mccluskey F.M.J., Castellanos A., Barrero A. Stabilization of dielectric liquid bridges by electric fields in the absence of gravity. J.Fluid Mech. 1989, 206:545-561.
9. Burcham C.L., Saville D.A. The electrohydrodynamic stability of a liquid bridge: microgravity experiments on a bridge suspended in a dielectric gas. J.Fluid Mech. 2000, 405:37-56.
10. Marr-Lyon M.J., Thiessen D.B., Blonigen F.J., Marston P.L. Stabilization of electrically conducting capillary bridges using feedback control of radial electrostatic stresses and the shapes of extended bridges. Phys. Fluids 2000, 12:986-995.
11. Klingner A., Herminghaus S., Mugele F. Self-excited oscillatory dynamics of capillary bridges in electric fields. Appl. Phys. Lett. 2003, 82:4187-4189.
12. Lee B.S., Cho H.J., Lee J.G., Huh N., Choi J.W., Kang I.S. Drop formation via breakup of a liquid bridge in an AC electric field. J.Colloid Interface Sci. 2006, 302:294-307.
13. Fuchs E.C., Woisetschläger J., Gatterer K., Maier E., Pecnik R., Holler G., Eisenkölbl H. The floating water bridge. J.Phys. D: Appl. Phys. 2007, 40:6112-6114.
14. Moulton D.E., Pelesko J.A. Theory and experiment for soap-film bridge in an electric field. J.Colloid Interface Sci. 2008, 322:252-262.
15. Bird J.C., Ristenpart W.D., Belmonte A., Stone H.A. Critical angle for electrically driven coalescence of two conical droplets. Phys. Rev. Lett. 2009, 103:164502.
16. Grilli S., Coppola S., Vespini V., Merola F., Finizio A., Ferraro P. 3D lithography by rapid curing of the liquid instabilities at nanoscale. PNAS 2011, 108:15,106-15,111.
17. Plateau J. Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires 1873, Gauthier-Villars, Paris.
18. Rayleigh L. On the instability of jets. Proc. London Math. Soc. 1878, s1-10:4-13.
19. Slobozhanin L.A., Perales J.M. Stability of liquid bridges between equal disks in an axial gravity field. Phys. Fluids A 1993, 5:1305-1314.
20. Lowry B.J., Steen P.H. Capillary surfaces: stability from families of equilibria with application to the liquid bridge. Proc. R. Soc. Lond. A 1995, 449:411-439.
21. Ramos A., Castellanos A. Shapes and stability of liquid bridges subjected to a.c. electric fields. J.Electrostat. 1991, 26:143-156.
22. Hohman M.M., Shin M., Rutledge G., Brenner M.P. Electrospinning and electrically forced jets. I. Stability theory. Phys. Fluids 2001, 13:2201-2220.
23. Burcham C.L., Saville D.A. Electrohydrodynamic stability: Taylor-Melcher theory for a liquid bridge suspended in a dielectric gas. J.Fluid Mech. 2002, 452:163-187.
24. Widom A., Swain J., Silverberg J., Sivasubramanian S., Srivastava Y.N. Theory of the Maxwell pressure tensor and the tension in a water bridge. Phys. Rev. E 2009, 80:016301.
25. Marin A.G., Lohse D. Building water bridges in air: electrohydrodynamics of the floating water bridge. Phys. Fluids 2010, 22:122104.
26. Esmaeeli A., Sharifi P. The transient dynamics of a liquid column in a uniform transverse electric field of small strength. J.Electrostat. 2011, 69:504-511.
27. Morawetz K. Theory of water and charged liquid bridges. Phys. Rev. E 2012, 86:026302.
28. Cloupeau M., Prunet-Foch B. Electrostatic spraying of liquids: main functioning modes. J.Electrostat. 1990, 25:165-184.
29. Grace J.M., Marijnissen J.C.M. Areview of liquid atomization by electrical means. J.Aerosol Sci. 1994, 25:1005-1019.
30. Tang K., Gomez A. Monodisperse electrosprays of low electric conductivity liquids in the cone-jet mode. J.Colloid Interface Sci. 1996, 184:500-511.
31. Jaworek A., Krupa A. Classification of the modes of EHD spraying. J.Aerosol Sci. 1999, 30:873-893.
32. Collins R.T., Harris M.T., Basaran O.A. Breakup of electrified jets. J.Fluid Mech. 2007, 588:75-129.
33. Gañán-Calvo A.M., Montanero J.M. Revision of capillary cone-jet physics: Electrospray and flow focusing. Phys. Rev. E 2009, 79:066305.
34. Higuera F.J. Numerical computation of the domain of operation of an electrospray of a very viscous liquid. J.Fluid Mech. 2010, 648:35-52.
35. Chen C.H. Electrohydrodynamic stability. Electrokinetics and Electrohydrodynamics in Microsystems 2011, 177-220. Springer. A. Romos (Ed.).
36. Saville D.A. Electrohydrodynamics: the Taylor-Melcher leaky dielectric model. Annu. Rev. Fluid Mech. 1997, 29:27-64.
37. Eggers J. Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys. 1997, 69:865-930.
38. McKinley G.H. Visco-elasto-capillary thinning and break-up of complex fluids. Rheology Reviews 2005, 1-49. British Society of Rheology.
39. Chen C.H., Saville D.A., Aksay I.A. Scaling laws for pulsed electrohydrodynamic drop formation. Appl. Phys. Lett. 2006, 89:124103.
40. Bober D.B., Chen C.H. Pulsating electrohydrodynamic cone-jets: from choked jet to oscillating cone. J.Fluid Mech. 2011, 689:552-563.
41. Scheideler W.J., Chen C.H. The minimum flow rate scaling of Taylor cone-jets issued from a nozzle. Appl. Phys. Lett 2014, 104:024103.
42. Marginean I., Nemes P., Vertes A. Astable regime in electrosprays. Phys. Rev. E 2007, 76:026320.
43. Fernández de la Mora J., Loscertales I.G. The current emitted by highly conducting Taylor cones. J.Fluid Mech. 1994, 260:155-184.
44. Bhat P.P., Appathurai S., Harris M.T., Pasquali M., McKinley G.H., Basaran O.A. Formation of beads-on-a-string structures during break-up of viscoelastic filaments. Nat. Phys. 2010, 6:625-631.
45. Melcher J.R., Warren E.P. Electrohydrodynamics of a current-carrying semi-insulating jet. J.Fluid Mech. 1971, 47:127-143.
46. Saville D.A. Electrohydrodynamic stability: effects of charge relaxation at the interface of a liquid jet. J.Fluid Mech. 1971, 48:815-827.
47. Barrero A., Lopez-Herrera J.M., Boucard A., Loscertales I.G., Marquez M. Steady cone-jet electrosprays in liquid insulator baths. J.Colloid Interface Sci. 2004, 272:104-108.
48. Eow J.S., Ghadiri M., Sharif A.O., Williams T.J. Electrostatic enhancement of coalescence of water droplets in oil: a review of the current understanding. Chem. Eng. J. 2001, 84:173-192.
49. Thiam A.R., Bremond N., Bibette J. Breaking of an emulsion under an ac electric field. Phys. Rev. Lett. 2009, 102:188304.
50. Fuchs E.C., Wexler A.D., Paulitsch-Fuchs A.H., Agostinho L.L.F., Yntema D., Woisetschläger J. The Armstrong experiment revisited. Eur. Phys. J. Spec. Top. 2013, 1-19.