Structure of taylor cone-jets: Limit of low flow rates

Journal of Fluid Mechanics

Volumn 378, Issue , 1999, Pages 167-196

  Cherney, Leonid T ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b NONE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC POTENTIAL; FLUID STRUCTURE INTERACTION; HYDRODYNAMICS; VELOCITY; VISCOSITY;

FLOW RATES; SURFACE CHARGE; TAYLOR CONE JETS;

JETS;

EID: 0032628157     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209800319X     Document Type: Article

References (49)

1. ABRAMOVITZ, M. & STEGUN, I. A. 1964 Handbook of Mathematical Functions. Washington: National Bureau of Standards.
2. ANNO, J. N. 1977 The Mechanics of Liquid Jets. Lexington Books.
3. BAILEY, A. G. 1988 Electrostatic Spraying of Liquids. Wiley.
4. BENASAYAG, G. & SUDRAUD, P. 1985 In situ high voltage TEM observations of an EHD source. Ultramicroscopy 16, 1-8.
5. CHEN, D.-R. & PUI, D. Y. H. 1997 Experimental investigation of scaling laws for electrospraying: dielectric constant effect. Aerosol Sci. Technol. 27, 367-380.
6. CHEN, D.-R., PUI, D. Y. H. & KAUFMAN, S. L. 1995 Electrospraying of conducting liquids for monodisperse aerosol generation in the 4 nm to 1.8 μm diameter range. J. Aerosol Sci. 26, 963-977.
7. CHERNYI, L. T. 1983 Electrohydrodynamic models and methods for calculating the electrification of organic liquids flowing in pipes. Soy. Phys. Dokl. 28, 539-541.
8. CLOUPEAU, M. & PRUNET-FOCH, B. 1989 Electrostatic spraying of liquids in cone-jet mode. J. Electrostat. 22, 135-159.
9. CLOUPEAU, M. & PRUNET-FOCH, B. 1990 Electrostatic spraying of liquids: main functioning modes. J. Electrostat. 25, 165-184.
10. CLOUPEAU, M. & PRUNET-FOCH, B. 1994 Electrohydrodynamic spraying functioning modes: a critical review. J. Aerosol Sci. 25, 1021-1036.
11. DUBROVIN, B. A., FOMENKO, A. T. & NOVIKOV, S. P. 1984 Modern Geometry - Methods and Applications. Part I. The Geometry of Surfaces, Transformation Groups, and Fields. Springer.
12. EGGERS, J. 1995 Theory of drop formation. Phys. Fluids 7, 941-953.
13. EGGERS, J. & DUPONT, T. F. 1994 Drop formation in a one-dimensional approximation of the Navier-Stokes equation. J. Fluid Mech. 262, 205-221.
14. FENN, J. B., MANN, M., MENG, C. K., WONG, S. F. & WHITEHOUSE, C. M. 1989 Electrospray ionization for mass spectrometry of large biomolecules. Science 246, 64-71.
15. FERNÁNDEZ DE LA MORA, J. 1992 The effect of charge emission from electrified liquid cones. J. Fluid Mech. 243, 561-574.
16. FERNÁNDEZ DE LA MORA, J. 1996 On the outcome of the Coulombic fission of a charged isolated drop. J. Colloid Interface Sci. 178, 209-218.
17. FERNÁNDEZ DE LA MORA, J. & LOSCERTALES, I. G. 1994 The current emitted by highly conducting Taylor cones. J. Fluid Mech. 260, 155-184.
18. GABOVICH, M. D. 1984 Liquid-metal emitters. Sov. Phys. Usp. 26, 447-455.
19. GAÑÁN-CALVO, A. M. 1997a On the theory of electrohydrodynamically driven capillary jets. J. Fluid Mech. 335, 165-188.
20. GAÑÁN-CALVO, A. M. 1997b Cone-jet analytical extension of Taylor's electrostatic solution and the asymptotic universal scaling laws in electrospraying. Phys. Rev. Lett. 79, 217-220.
21. GAÑÁN-CALVO, A. M., DÁVILA, J. & BARRERO, A. 1997 Current and droplet size in the electrospraying of liquids. Scaling laws. J. Aerosol Sci. 28, 249-275.
22. GLEITER, H. 1989 Nanocrystalline materials. Prog. Mater. Sci. 33, 223-315.
23. GOMEZ, A. & TANG, K. 1994 Charge and fission of droplets in electrostatic sprays. Phys. Fluids 6, 404-414.
24. GRACE, J. M. & MARIJNISSEN, J. C. M. 1994 A review of liquid atomization by electrical means. J. Aerosol Sci. 25, 1005-1019.
25. GUTMANAS, E. Y. 1990 Materials with fine microstructures by advanced powder metallurgy. Prog. Mater. Sci. 34, 261-366.
26. HAPPEL, J. & BRENNER, H. 1965 Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media. Prentice-Hall.
27. HAYATI, I., BAILEY, A. I. & TADROS, TH. F. 1986 Mechanism of stable jet formation in electrohydrodynamic atomization. Nature 319, 41-43.
28. HAYATI, I., BAILEY, A. I. & TADROS, TH. F. 1987 Investigations into the mechanism of electrohydrodynamic spraying of liquids. II Mechanism of stable jet formation and electrical forces acting on a liquid cone. J. Colloid Interface Sci. 117, 222-230.
29. JOFFRE, G.-H. & CLOUPEAU, M. 1986 Characteristic forms of electrified menisci emitting charges. J. Electrostat. 18, 147-161.
30. JONES, A. R. & THONG, K. C. 1971 The production of charged monodisperse fuel droplets by electrostatic dispersion. J. Phys. D: Appl. Phys. 4, 1159-1166.
31. KAMKE, E. 1942 Differentialgleichungen, Lösungsmethoden und Lösungen. Akademische Verlagsgesellschaft, Leipzig.
32. LOHMANN, M. & SCHMIDT-OTT, A. 1995 Production of metallic nanoparticles via electrostatic atomization. J. Aerosol Sci. 26, S829-S830.
33. MELCHER, J. R. & WARREN, E. P. 1971 Electrohydrodynamics of a current-carrying semi-insulating jet. J. Fluid Mech. 47, 127-143.
34. MESTEL, A. J. 1994a The electrohydrodynamic cone-jet at high Reynolds number. J. Aerosol Sci. 25, 1037-1047.
35. MESTEL, A. J. 1994b Electrohydrodynamic stability of a slightly viscous jet. J. Fluid Mech. 274, 93-113.
36. MESTEL, A. J. 1996 Electrohydrodynamic stability of a highly viscous jet. J. Fluid Mech. 312, 311-326.
37. PANTANO, C., GAÑÁN-CALVO, A. M. & BARRERO, A. 1994 Zeroth-order, electrohydrostatic solution for electrospraying in cone-jet mode. J. Aerosol Sci. 25, 1065-1077.
38. PAPAGEORGIOU, D. T. 1995a On the breakup of viscous liquid threads. Phys. Fluids 7, 1529-1544.
39. PAPAGEORGIOU, D. T. 1995b Analytical description of the breakup of liquid jets. J. Fluid Mech. 301, 109-132.
40. ROSELL-LLOMPART, J. & FERNÁNDEZ DE LA MORA, J. 1994 Generation of monodisperse droplets 0.3 to 4 μm in diameter from electrified cone-jets of highly conducting and viscous liquids. J. Aerosol Sci. 25, 1093-1119.
41. SCRIVEN, L. E. 1960 Dynamics of a fluid interface. Equation of motion for Newtonian surface fluids. Chem. Engng Sci. 12, 98-108.
42. SHTERN, V. & BARRERO, A. 1994 Striking features of fluid flows in Taylor cones related to electrosprays. J. Aerosol Sci. 25, 1049-1063.
43. SHTERN, V. & BARRERO, A. 1995 Bifurcation of swirl in liquid cones. J. Fluid Mech. 300, 169-205.
44. SMITH, R. D., LOO, J. A., OGORZALEK LOO, R. R., BUSMAN, M. & UDSETH, H. R. 1991 Principles and practice of electrospray ionization - mass spectrometry for large polypeptides and proteins. Mass Spectrom. Rev. 10, 359-451.
45. TANG, K. & GOMEZ, A. 1994 Generation by electrospray of monodisperse water droplets for targeted drug delivery by inhalation. J. Aerosol Sci. 25, 1237-1249.
46. TAYLOR, G. I. 1964 Disintegration of water drops in an electric field. Proc. R. Soc. Lond. A 280, 383-397.
47. VAN DYKE, M. 1975 Perturbation Methods in Fluid Mechanics. The Parabolic Press.
48. ZELENY, J. 1914 The electrical discharge from liquid points and a hydrostatic method of measuring the electric intensity at their surface. Phys. Rev. 3, 69-91.
49. ZELENY, J. 1917 Instability of electrified liquid surfaces. Phys. Rev. 10, 1-6.