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Surface waves in ferrofluids under vertical magnetic field

Authors :: Sophie Neveu
Julien Browaeys
Jean-Claude Bacri
C. Flament
Régine Perzynski
Laboratoire des Milieux Désordonnés et Hétérogènes (LMDH)
Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
Liquides Ioniques et Interfaces Chargées (LI2C)
Université Pierre et Marie Curie - Paris 6 (UPMC)-Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
Source :: The European Physical Journal B: Condensed Matter and Complex Systems, The European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 1999, 9, pp.335. ⟨10.1007/s100510050773⟩, The European Physical Journal B: Condensed Matter and Complex Systems, 1999, 9, pp.335. ⟨10.1007/s100510050773⟩
Publication Year :: 1999
Publisher :: Springer Science and Business Media LLC, 1999.
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.