Numerical simulation of the dynamics of an electrostatically levitated drop

International Journal of Multiphase Flow

Volumn 22, Issue 1, 1996, Pages 93-120

  Feng, Z C ^a   Leal, L G ^b  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b University of California   (United States)

Author keywords

Boundary element method; Drop dynamics; Electrostatic levitation; Shape oscillation

Indexed keywords

BOUNDARY ELEMENT METHODS; DROPS; DYNAMICS; ELECTROSTATIC FIELDS; TWO-PHASE FLOW;

BOUNDARY ELEMENT METHOD; CALCULATIONS; COMPUTER SIMULATION; DROP BREAKUP; ELECTRIC FIELD EFFECTS; ELECTRIC FIELDS; ELECTROSTATICS; FLOW INTERACTIONS; INTEGRAL EQUATIONS; NATURAL FREQUENCIES; OSCILLATIONS; RESONANCE;

DROP DYNAMICS; ELECTROSTATIC LEVITATION; LIQUID DROP; MODAL INTERACTIONS; RESONANT INTERACTIONS; SHAPE OSCILLATION;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0030072171     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/0301-9322(95)00058-5     Document Type: Article

References (24)

1. Adornato, P. M. & Brown, R. A. 1983 Shape and stability of electrostatically levitated drops. Proc. R. Soc. A 389, 101-117.
2. Basaran, O. A. 1992 Nonlinear oscillations of viscous liquid drops. J. Fluid Mech. 241, 169-198.
3. Basaran, O. A. & Scriven, L. E. 1989a Axisymmetric shapes and stability of isolated charged drops. Phys. Fluids A 1, 795-798.
4. Basaran, O. A. & Scriven, L. E. 1989b Axisymmetric shapes and stability of charged drops in an external electric field. Phys. Fluids A 1, 799-809.
5. Brazier-Smith, P. R., Brook, M., Latham, J., Saunders, C. P. R. & Smith, M. H. 1971 The vibration of electrified water drops. Proc. Roy. Soc. Lond. A 322, 523-534.
6. Brebbia, C. A., Telles, J. C. F. & Wrobel, L. C. 1984 Boundary Element Techniques: Theory and Applications in Engineering, pp. 96-99. Springer, New York.
7. Dommermuth, D. G. 1994 Efficient simulation of short and long-wave interactions with applications to capillary waves. J. Fluids Engng 116, 77-82.
8. Feng, Z. C. 1995 Does nonlinear intermodal coupling occur in a vibrating stretched string? J. Sound Vibration 182, 809-812.
9. Feng, J. Q. & Beard, K. V. 1990 Small-amplitude oscillations of electrostatically levitated drops. Proc. R. Soc. Lond. A 430, 133-150.
10. Feng, J. Q. & Beard, K. V. 1991a Resonances of a conducting drop in an alternating electric field. J. Fluid Mech. 222, 417-435.
11. Feng, J. Q. & Beard, K. V. 1991b Three-dimensional oscillation characteristics of electrostatically deformed drops. J. Fluid Mech. 227, 429-447.
12. Gear, C. W. 1971 Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs, NJ.
13. Gomez, A. & Tang, K. 1994 Charge and fission of droplets in electrostatic sprays. Phys. Fluids 6, 404-414.
14. Guckenheimer, J. & Holmes, P. J. 1983 Nonlinear Oscillations, Dynamical System and Bifurcations of Vector Fields. Springer, New York.
15. Kang, I. S. 1993 Dynamics of a conducting drop in a time-periodic electric field. J. Fluid Mech. 257, 229-264.
16. Lundgren, T. S. & Mansour, N. N. 1988 Oscillations of drops in zero gravity with weak viscous effects. J. Fluid Mech. 194, 479-510.
17. Miksis, M. 1981 Shape of a drop in an electric field. Phys. Fluids 24, 1967-1972.
18. Natarajan, R. & Brown, R. A. 1987 The role of three-dimensional shapes in the break-up of charged drops. Proc. R. Soc. A 410, 209-227.
19. Pelekasis, N. A. & Tsamopoulos, J. A. 1990 Equilibrium shapes and stability of charged and conducting drops. Phys. Fluids A 2, 1328-1340.
20. Rayleigh, J. W. S. Lord 1882 On the equilibrium of liquid conducting masses charged with eletricity. Phil. Mag. 14, 184-186.
21. Rhim, W. K., Chung, S. K., Hyson, M. T., Trinh, E. & Elleman, D. D. 1987 Large charged drop levitation against gravity. IEEE Trans. Ind. Appl. IA-23, 975-979.
22. Taylor, G. I. 1964 Disintegration of water drops in an electric field. Proc. R. Soc. Lond. Ser. A280, 383-397.
23. Tsamopoulos, J. A. & Brown, R. A. 1984 Resonant oscillations of inviscid charged drops. J. Fluid Mech. 147, 373-395.
24. Tsamopoulos, J. A., Akylas, T. R. & Brown, R. A. 1985 Dynamics of charged drop break-up. Proc. R. Soc. Lond. A 401, 67-88.