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.
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Received 11 May 1998
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Browaeys, J., Bacri, JC., Flament, C. et al. Surface waves in ferrofluids under vertical magnetic field. Eur. Phys. J. B 9, 335–341 (1999). https://doi.org/10.1007/s100510050773
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DOI: https://doi.org/10.1007/s100510050773