Shapes and stability of pendant and sessile dielectric drops in an electric field

Journal of Fluid Mechanics

Volumn 235, Issue , 1992, Pages 481-510

  Basaran, Osman A ^b  

^a UNIVERSITY OF TENNESSEE   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004787839     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112092001198     Document Type: Article

References (54)

1. 1978, An efficient algorithm for the determination of certain bifurcation points. J. Comput. Appl. Maths 4, 19.
2. Adornato, P. M. Brown, R. A. 1983 Shape and stability of levitated drops. Proc. R. Soc. Lond. A 389, 101.
3. Bacri, J. C. Salin, D. 1982 Instability of ferrofluid magnetic drops under magnetic field. J. Phys. Lett. 43.
4. Bacri, J. C. Salin, D. 1983 Dynamics of the shape transition of a ferrofluid magnetic drop. J. Phys. Lett. 44, L415.
5. Bacri, J. C., 1982 Shape of the deformation of ferrofluid droplets in a magnetic field. J. Phys. Lett. 43, LI79.
6. Basaran, O. A., Scott, T. C. Byers, C. H. 1989 Drop oscillations in liquid-liquid systems. AIChE J. 35.
7. Basaran, O. A. Scriven, L. E. 1982 Profiles of electrified drops and bubbles. In Proc. Second Intl Colloq. on Drops and Bubbles (ed. D. H. LeCroissette). Jet Propulsion Laboratory, Pasadena, CA.
8. Basaran, O. A. Scriven, L. E. 1989a Axisymmetric shapes and stability of isolated charged drops. Phys. Fluids A 1, 795.
9. Basaran, O. A. Scriven, L. E. 1989b Axisymmetric shapes and stability of charged drops in an external electric field. Phys. Fluids A 1, 799.
10. Basaran, O. A. Scriven, L. E. 1990 Axisymmetric shapes and stability of pendant and sessile drops in an electric field. J. Colloid Interface Sci. 140, 10.
11. Beard, K. V., Ochs, H. T. Kubesh, R. J. 1989 Natural oscillations of small raindrops. Nature 342, 408.
12. Benner, R. E., Basaran, O. A. Scriven, L. E. 1991 Equilibria, stability and bifurcations of rotating columns of fluid subjected to planar disturbances. Proc. R. Soc. Lond. A 433, 81.
13. Berkovsky, B. M., 1987 Experimental study of the stability of bounded volumes of magnetic fluid with a free surface. J. Magnetism Magn. Mater. 65, 239.
14. Berkovsky, B. M. Kalikmanov, V. I. 1985 Topological instability of magnetic fluids. J. Phys. Lett. 46, L483.
15. Bohr, N. Wheeler, J. A. 1939 The mechanism of fission. Phys. Rev. 56, 426.
16. Boudouvis, A. G., Puchalla, J. L. Scriven, L. E. 1988 Magnetohydrostatic equilibria of ferrofluid drops in external magnetic fields. Chem. Engng Commun. 67, 129.
17. Brancher, J. P. Zouaoui, D. 1987 Equilibrium of a magnetic liquid drop. J. Magnetism Magn. Mater. 65, 311.
18. Brazier-Smith, P. R. 1971 Stability and shape of isolated and pairs of water drops in an electric field. Phys. Fluids 14, 1.
19. Budnik, A. M. Polevikov, V. K. 1987 Numerical study of equilibrium forms of magnetic fluid including magnetic field disturbances. J. Magnetism Magn. Mater. 65, 335.
20. Byers, C. H. Perona, J. J. 1988 Drop formation from an orifice in an electric field. AIChE J. 34.
21. Carruthers, J. R. Testardi, L. R. 1983 Materials processing in the reduced-gravity of space. Ann. Rev. Mater. Sci. 13, 247.
22. Chandrasekhar, S. 1969 Ellipsoidal Figures of Equilibrium. Yale University Press.
23. Chang, L. S. Berg, J. C. 1985 The effect of interfacial tension gradients on the flow structure of single drops or bubbles translating in an electric field. AIChE J. 31, 551.
24. Cohen, S., Plasil, R., Swiatecki, W. J. 1974 Equilibrium configurations of gravitating liquid masses with surface tension. Annls Phys. 82, 557.
25. 1751, New Experiments and Observations on Electricity Made at Philadelphia in America. Printed by E. Cave at St John's Gate.
26. Gupte, S. M. Tsamopoulos, J. A. 1989 Densification of porous materials by chemical vapor infiltration. J. Electrochem. Soc. 136, 555.
27. Hood, P. 1976 Frontal solution program for unsymmetric matrices. Intl J. Numer. Meth. Engng 10, 379, and Correction, Intl J. Num. Meth. Engng 11 (1977.
28. Iooss, G. Joseph, D. D. 1990 Elementary Stability and Bifurcation Theory. Springer.
29. Isaacson, E. Keller, H. B. 1966 Analysis of Numerical Methods. John Wiley.
30. Jeffreys, D. J. 1973 Conduction through a random suspension of spheres. Proc. R. Soc. Lond.
31. Kistler, S. F. Scriven, L. E. 1983 Coating flows. In Computational Analysis of Polymer Processing. Applied Science Publishers.
32. Landau, L. D. Lifshitz, E. M. 1960 Electrodynamics of Continuous Media. Pergamon.
33. Maxwell, J. C. 1873 Electricity and Magnetism. Clarendon.
34. 1981, Continuum Electromechanics. MIT Press.
35. Melcher, J. R. Taylor, G. I. 1969 Electrohydrodynamics: a review of the role of interfacial shear stresses. Ann. Rev. Fluid Mech. 1, 111.
36. Miksis, M. J., 1981 Shape of a drop in an electric field. Phys. Fluids 24.
37. Ortega, J. M. Rheinboldt, W. C. 1970 Iterative Solution of Nonlinear Equations in Several Variables. Academic.
38. Pelekasis, N. A., Tsamopoulos, J. A. Manolis, G. D. 1990 Equilibrium shapes and stability of charged and conducting drops. Phys. Fluids.
39. 1879, The influence of electricity on colliding water drops. Proc. R. Soc. Lond.
40. 1882, On the equilibrium of liquid conducting masses charged with electricity. Phil. Mag. 14, 184.
41. Rhim, W. K., 1989 Experiments on rotating charged liquid drops. In Proc. Third. Intl Colloquium on Drops and Bubbles. American Institute of Physics.
42. Rosenkilde, C. E. 1969 A dielectric fluid drop in an electric field. Proc. R. Soc. Lond. A 312, 473.
43. Rosensweig, R. E. 1979 Fluid dynamics and science of magnetic liquids. In Advances in Electronics and Electron Physics, Vol. 48 (ed. L. Marton). Academic.
44. Rosensweig, R. E. 1985 Ferrohydrodynamics. Cambridge University Press.
45. Saito, H. Scriven, L. E. 1981 Study of coating by the finite element method. J. Comput. Phys. 42, 53.
46. Sartor, J. D. 1969 Electricity and rain. Phys. Today 22, 45.
47. Sherwood, J. D. 1988 Breakup of fluid droplets in electric and magnetic fields. J. Fluid Mech. 188, 133.
48. Strang, G. Fix, G. J. 1973 An Analysis of the Finite Element Method. Prentice-Hall.
49. Taylor, G. I. 1964 Disintegration of water drops in an electric field. Proc. R. Soc. Lond. A 280, 383.
50. Ungar, L. H. Brown, R. A. 1982 The dependence of the shape and stability of captive rotating drops on multiple parameters. Phil. Trans. R. Soc. Lond. A 306, 347.
51. Ungar, L. H. Brown, R. A. 1985 Cellular interface morphologies in directional solidification IV. The formation of deep cells. Phys. Rev.
52. Walters, R. A. 1980 The frontal method in hydrodynamics simulations. Comput. Fluids 8, 265.
53. Weatherburn, C. E. 1927 Differential Geometry of Three Dimensions. Cambridge University Press.
54. Wilson, C. T.1925 The bursting of soap-bubbles in a uniform electric field. Proc. Camb. Phil. Soc. 22, 98.