Parametric instability of dielectric, slightly viscous liquid jets under ac electric fields

Physics of Fluids

Volumn 9, Issue 6, 1997, Pages 1830-1837

  Gonzalez H ^a   Ramos, A ^a   Castellanos, A ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; INSTABILITY; JET FLOW; MODELLING-MATHEMATICAL;

EID: 0030859471     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869298     Document Type: Article

References (19)

1. N. K. Nayyar and G. S. Murty, "The stability of a dielectric liquid jet in the presence of a longitudinal electric field," Proc. Phys. Soc. London 75, 369 (1960).
2. J. R. Melcher, Field-Coupled Surface Waves (MIT Press, Cambride, 1963).
3. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
4. Lord Rayleigh, The Theory of Sound, II (Dover, New York, 1945).
5. H. González, F. M. J. McCluskey, A Castellanos, and A. Barrero, "Stabilization of dielectric liquid bridges by electric fields in the absence of gravity," J. Fluid Mech. 206, 545 (1989).
6. H. González and A. Castellanos, "The effect of residual axial gravity on the stability of liquid columms subjected to electric fields," J. Fluid Mech. 249, 185 (1993).
7. D. A. Saville, "Electrohydrodynamic stability: Fluid cylinders in longitudinal electric fields," Phys. Fluids 13, 2987 (1970).
8. D. A. Saville, "Electrohydrodynamic stability: Effect of charge relaxation at the interface of a liquid jet," J. Fluid Mech. 48, 815 (1971).
9. C. A. Morrison, R. P. Leavitt, and D. E. Wortman, "The extended Rayleigh theory of the oscillations of liquid droplets," J. Fluid Mech. 104, 295 (1981).
10. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Addison-Wesley, 1959).
11. C. Weber, "Zum zerfall eines flüssigkeitsstrables," Z. Angew, Math. Mech. 11, 136 (1931).
12. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961).
13. F. J. García and A. Castellanos, "Effect of interfacial electrical stresses on the stability of viscous liquid jets," Inst. Phys. Conf. Ser. No 143, 301-304. Paper presented at the 9th International Conference on Electrostatics, York, 2-5 April 1995.
14. M. Abeamowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
15. A. Borkar and J. Tsamopoulos, "Boundary layer analysis of the dynamics of axisymmetirc capillary bridges," Phys. Fluids A 3, 2866 (1991).
16. M. Higuera, J. A. Nicolás, and J. M. Vega, "Linear oscillations of weakly dissipative axisymmetic liquid bridges," Phys. Fluids 6, 438 (1994).
17. C. von Kerczek and S. H. Davis, "Linear stability theory of oscillatory Stokes layers," J. Fluid Mech. 62, 753 (1974).
18. A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, New York, 1981).
19. V. A. Briskman and G. G. Shaidurov, "Parametric instability of a fluid surface in an alternating electric field," Dokl. Akad. Nauk SSSR 180, 1315 (1968).