Abstract

The conducting liquid interface is found to undulate in an alternating magnetic field. It was shown earlier that ifM =B 0 2/μηω, B0, ω, μ andη being the amplitude (complex) of the alternating longitudinal magnetic field imposed at the interface, the angular frequency of the field, the magnetic permeability and the viscosity respectively, and ifM c was the critical value ofM then the planar layer was stable or unstable according asM < M c orM > M c. In this paper we have determined the stability criterion when in addition to the alternating longitudinal field there acts a uniform field in the same direction. After comparing our results with those obtained earlier, in the absence of the uniform field, we find that the additional uniform field has a significant destabilizing effect.

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