Surface waves in ferrofluids under vertical magnetic field |
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| Authors: | J. Browaeys J.-C. Bacri C. Flament S. Neveu R. Perzynski |
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| Affiliation: | (1) équipe Ferrofluide de l'Université Paris 7 (case 70.08), 2 place Jussieu, 75251 Paris Cedex 05, France, FR;(2) Laboratoire des Milieux Désordonnés et Hétérogènes (UMR 7603 (CNRS)), Université Pierre et Marie Curie (Paris VI), case 78, 4 place Jussieu, 75252 Paris Cedex 05, France, FR;(3) Laboratoire des Liquides Ioniques et Interfaces Chargées (UMR 7612 (CNRS)), Université Pierre et Marie Curie (Paris VI), Batiment F, case 63, 4 place Jussieu, 75252 Paris Cedex 05, France, FR |
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| Abstract: | We present here new experimental results about the waves at the horizontal free surface of a magnetic fluid submitted to a normal magnetic field. The waves are generated by a small modulation at frequency of the vertical field . Using a shadowgraph method, we are able to measure the wavevector k of the 2D waves for a given value of and . The dispersion relation of the surface waves is established experimentally. On the other hand, we propose a theoretical derivation of the dispersion equation which includes a more complete treatment of the magnetic term than the previous works. Finally, we conclude that a linear and inviscid analysis is sufficient to fit well the experimental data, except in the vicinity of the critical field where a surface instability occurs. Received 11 May 1998 |
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| Keywords: | PACS. 75.50.Mm Magnetic liquids - 47.35.+i Hydrodynamic waves - 68.10.-m Fluid surfaces and fluid-fluid interface |
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