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Instability of a planar liquid layer in an alternating longitudinal magnetic field with non-zero mean

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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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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 400 076, Powai, Bombay, India

    S. P. Bhattacharyya & M. Abbas

  2. Department of Computer Science and Engineering, Indian Institute of Technology, 400 076, Powai, Bombay, India

    M. Abbas

Authors
  1. S. P. Bhattacharyya
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  2. M. Abbas
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Bhattacharyya, S.P., Abbas, M. Instability of a planar liquid layer in an alternating longitudinal magnetic field with non-zero mean. Proc. Indian Acad. Sci. (Math. Sci.) 95, 13–21 (1986). https://doi.org/10.1007/BF02837243

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  • DOI: https://doi.org/10.1007/BF02837243

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