Surface waves created by low-frequency magnetic fields

European Journal of Mechanics, B/Fluids

Volumn 24, Issue 1, 2005, Pages 91-112

  Fautrelle, Y ^a   Sneyd, A D ^b  

^a ENSHMG   (France)

^b UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

Alternating fields; Liquid metal; MHD; Parametric resonance

Indexed keywords

APPROXIMATION THEORY; DAMPING; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; OSCILLATIONS; PERTURBATION TECHNIQUES; TORSIONAL STRESS;

ALTERNATING FIELDS; LORENTZ FORCES; OSCILLATION FREQUENCY; PARAMETRIC RESONANCE;

SURFACE WAVES;

EID: 7044274702     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2004.05.005     Document Type: Article

References (14)

1. Galpin J.M., Fautrelle Y. Liquid-metal flows induced by low-frequency alternating magnetic fields. J. Fluid Mech. 239:1992;383-408.
2. Galpin J.M., Fautrelle Y., Sneyd A.D. Parametric resonance in low-frequency magnetic stirring. J. Fluid Mech. 239:1992;409-427.
3. Chino Y., Iwai K., Asai S. Control of free surface shape on a molten metal by synchronous imposition of a mechanical oscillation and intermittent alternating magnetic field. Proceedings of the 3rd International Symposium on Electromagnetic Processing of Materials, Nagoya, Japan, April 3-6, 2000. 2000;49-54 The Iron and Steel Institute of Japan, Tokyo.
4. Burty M., Galpin J.M., Fautrelle Y., Debray F., Inomoto T., Ogawa Y., Toh T., Sawada I., Harashima K. Contribution to fundamental study of metal-slag mass transfer in ladle metallurgy. Proceedings of the 3rd International Symposium on Electromagnetic Processing of Materials, Nagoya, Japan, April 3-6, 2000. 2000;321-326 The Iron and Steel Institute of Japan, Tokyo.
5. Landau L.D., Lifshitz E.M. Theory of Elasticity. 1985;Pergamon Press, Oxford.
6. Batchelor G.K. An Introduction to Fluid Dynamics. 1965;Cambridge University Press.
7. Sneyd A.D., Wang A. Interfacial instability due to MHD mode coupling in aluminium reduction cells. J. Fluid Mech. 263:1994;343-359.
8. Sneyd A.D. Analysis of parametric resonance in magnetohydrodynamics. Eur. J. Mech. B Fluids. 2002;. in press.
9. Debray F., Fautrelle Y. Electromagnetically driven parametric instability in an annular layer. Nieuwstadt F.T.M. Advances in Turbulence IV. Appl. Sci. Res. vol. 51:1993;31-36 Kluwer Academic.
10. Miles J. On surface waves with zero contact angle. J. Fluid Mech. 245:1992;485-492.
11. Hocking L.M. The damping of capillary-gravity waves at a rigid boundary. J. Fluid Mech. 179:1987;253-266.
12. Benjamin T.B., Ursell F. The stability of the plane free surface of a liquid in vertical periodic motion. Proc. Roy. Soc. London. 225:1954;505-515.
13. J.M. Galpin, Etude du couplage entre un métal liquide et un champ magnetique alternant a basse frequence. Ph.D. thesis, Institut National Polytechnique de Grenoble, France, 1992.
14. F. Debray, Déformations d'interface engendrées par une excitation électromagnétique basse fréquence et mesure des transferts de masse associés, Thèse de doctorat, Institut National Polytechnique de Grenoble, 1994.