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Shape oscillations of a slightly viscous liquid metal drop in a strong magnetic field

  • J. Priede*
  • *Corresponding author for this work
  • Coventry University

Research output: Chapter in Book/Report/Conference proceedingConference paperResearchpeer-review

Abstract

We analyse small-amplitude free oscillations of a weakly viscous and electrically conducting drop in a strong uniform DC magnetic field. An asymptotic solution is obtained showing that the magnetic field does not affect the shape eigenmodes, which are the spherical harmonics as in the non-magnetic case. The magnetic field, however, changes the frequency spectrum of oscillations. As the droplet oscillates, the liquid moves as solid columns aligned with the magnetic field. Two types of such oscillations are possible: longitudinal and transversal to the magnetic field. Oscillations are weakly damped by the magnetic field - the stronger the field, the weaker the damping, except for the axisymmetric transversal modes. The latter are strongly over-damped because they are not compatible with purely columnar liquid flow.

Original languageEnglish
Title of host publicationProceedings of the 7th International Conference on Engineering Computational Technology
Publication statusPublished - 2010
Externally publishedYes
Event7th International Conference on Engineering Computational Technology, ECT 2010 - Valencia, Spain
Duration: 14 Sept 201017 Sept 2010

Publication series

NameProceedings of the 7th International Conference on Engineering Computational Technology

Conference

Conference7th International Conference on Engineering Computational Technology, ECT 2010
Country/TerritorySpain
CityValencia
Period14/09/1017/09/10

Keywords

  • Asymptotic analysis
  • Frequency spectrum
  • High magnetic field
  • Liquid metal
  • Magnetic damping
  • Oscillating drop technique

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