Nonlinear electrohydrodynamics of free surfaces

IEEE Transactions on Dielectrics and Electrical Insulation

Volumn 5, Issue 3, 1998, Pages 334-343

  Castellanos, A ^a   Gonzalez A ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b E S Ingenieros ^*  (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DENSITY OF LIQUIDS; ELECTRIC CHARGE; ELECTROHYDRODYNAMICS; INTERFACES (MATERIALS); PERMITTIVITY; THIN FILMS; VISCOSITY OF LIQUIDS;

ELECTRICAL STRESSES; NONLINEAR ELECTROHYDRODYNAMICS;

CONDUCTIVE MATERIALS;

EID: 0032099364     PISSN: 10709878     EISSN: None     Source Type: Journal    
DOI: 10.1109/94.689422     Document Type: Article

References (25)

1. A. Castellanos, Electrohydrodynamics: basic equations and dimensionless numbers, in Fluid Physics, World Scientific, Singapore, 14-32, 1995.
2. G. B. Witham, Linear and nonlinear waves, John Wiley & Sons 1974.
3. H. González, G. Néron de Surgy and J. P. Chabrerie, "Influence of bounded geometry on electrocapillary instability", Physical Review B, Vol. 50, pp. 2520-2528, 1994.
4. A. Ramos and A. Castellanos, "Equilibrium shapes and bifurcation of captive dielectric drops subjected to electric fields", Journal of Electrostatics, Vol. 33, pp. 61-86, 1994.
5. H. Gonzalez, F. M. J. McCluskey, A. Castellanos and A. Barrero, "Stabilization of dielectric liquid bridges by electric fields in the absence of gravity", Journal of Fluid Mechanics, Vol. 206, pp. 545-561, 1989.
6. J. R. Melcher, Continuum Electromechanics, The MIT Press, Cambridge MA, 1981.
7. A. Ramos and A. Castellanos, "Conical points in liquid-liquid interfaces subjected to electric fields", Physics Letters A, Vol. 184, pp. 268-272, 1994.
8. J. R. Melcher, Field-coupled surface waves, The MIT Press, Cambridge MA, 1963.
9. G. I. Taylor and A. D. McEwan, "The stability of a horizontal fluid interface in a vertical electric field", Journal of Fluid Mechanics Vol. 22, pp. 1-15, 1965.
10. C. V. Easwaran, "Solitary waves on a conducting fluid layer", Physics of Fluids, Vol. 31, pp. 3442-3443, 1988.
11. A. Gonzalez and A. Castellanos, "A Korteweg-de Vries-Burgers equation for surface waves in non ideal conducting liquids", Physical Review E, Vol. 49, pp. 2935-2940, 1994.
12. A. Zhakin, "On non-linear shapes and non-linear waves on the interface of perfectly conductive liquids (ferrofluids) in transverse electrical (magnetic) fields, Maynitnaja Gidrodynamica, Vol. 4, pp. 41-48, 1983 (in Russian).
13. A. Zhakin, Electrohydrodynamics, The Kurks University Press, Kurks Russia (1996).
14. A. N. Garazo and M. G. Velarde, "Dissipative Korteweg-de Vries description of Marangoni-Bénard oscillatory convection", Physics of Fluids A, Vol. 3, pp. 2295-2300, 1991.
15. A. Jeffrey and S. Xu, "Exact solutions to the Korteweg-de Vries-Burgers equation", Wave Motion, Vol. 11, pp. 559-564, 1989.
16. A. Gonzalez, Ondas lineales y no lineales en interfaces planes sontetidas a campos eléctricos, PhD Thesis, University of Seville (in Spanish, 1997).
17. G. Keulegan, "Gradual Damping of Solitary Waves", Journal of Research of the National Bureau of Standards, Vol. 40, pp. 487-498, 1948.
18. A. Gonzalez and A. Castellanos, "Nonlinear waves in a viscous horizontal film in the presence of an electric field", Journal of Electrostatics, Vol. 40, pp. 55-60, 1997.
19. A. Gonzalez and A. Castellanos, "Nonlinear electrohydrodynamic waves on films falling down an inclined plane", Physical Review E, Vol. 4, pp. 3573-3578, 1996.
20. T.B. Benjamin, "Wave formation in laminar flow down an inclined plane", Journal of Fluid Mechanics, Vol. 2, pp. 554-574.
21. P. Manneville, Dissipative structures and weak turbulence, Academic Press, 1990.
22. V. Ya. Shkadov, "Wave flow regimes of a thin layer of viscous fluid subect to gravity", Izvestia An. SSSR Mekhaniki Zhidkosti i Gaza, Vol. 2, pp. 17-51, 1967.
23. V. Bunov, E. A. Demekhin and V. Ya. Shkadov, "Bifurcations of solitary waves in a flowing liquid film", Vestnik Moskouskogo Universitateta Mekhanika, Vol. 41, pp. 73-78, 1986.
24. Yu. Ya. Trifonov and O. Yu. Tsvelodub, "Nonlinear waves on the surface of a falling liquid film. Part 1. Waves of the first family and their stability", Journal of Fluid Mechanics, Vol. 229, pp. 531-554, 1991.
25. O. Yu. Tsvelodub and Yu. Ya. Trifonov, "Nonlinear waves on the surface of a falling liquid film. Part 2. Bifurcations of the first-family waves and other types of nonlinear waves", Journal of Fluid Mechanics, Vol. 244, pp. 149-169, 1992.