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

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    • Keywords

       

      Stability; alternating magnetic field; interface; geomagnetic field

    • Abstract

       

      The conducting liquid interface is found to undulate in an alternating magnetic field. It was shown earlier that ifM =B02/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 ifMc was the critical value ofM then the planar layer was stable or unstable according asM < Mc orM > Mc. 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.

    • Author Affiliations

       

      S P Bhattacharyya1 M Abbas1 2

      1. Department of Mathematics, Indian Institute of Technology, Powai, Bombay - 400 076, India
      2. Department of Computer Science and Engineering, Indian Institute of Technology, Powai, Bombay - 400 076, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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