Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field

V. Shatrov; J. Priede; G. Gerbeth

doi:10.1063/1.1535410

Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field

V. Shatrov
, J. Priede
, G. Gerbeth^*

^*Corresponding author for this work

Department of Physics

Helmholtz-Zentrum Dresden-Rossendorf

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

The paper presents a numerical stability analysis of the flow driven by an alternating (ac) magnetic field in an electromagnetically levitated liquid metal droplet. The basic axisymmetric flow is found to become unstable at Reynolds numbers in the order of 100. The critical Reynolds number Re_c and the corresponding most unstable azimuthal wave number m are found for several configurations of the magnetic field depending on the skin-depth δ. For a uniform external' ac magnetic field the azimuthal wave number of the most unstable mode is m = 3. An additional steady (dc) magnetic field imposed along the axis of symmetry increases the stability of the flow.

Original language	English
Pages (from-to)	668-678
Number of pages	11
Journal	Physics of Fluids
Volume	15
Issue number	3
DOIs	https://doi.org/10.1063/1.1535410
Publication status	Published - Mar 2003

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abstract = "The paper presents a numerical stability analysis of the flow driven by an alternating (ac) magnetic field in an electromagnetically levitated liquid metal droplet. The basic axisymmetric flow is found to become unstable at Reynolds numbers in the order of 100. The critical Reynolds number Rec and the corresponding most unstable azimuthal wave number m are found for several configurations of the magnetic field depending on the skin-depth δ. For a uniform external' ac magnetic field the azimuthal wave number of the most unstable mode is m = 3. An additional steady (dc) magnetic field imposed along the axis of symmetry increases the stability of the flow.",

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AB - The paper presents a numerical stability analysis of the flow driven by an alternating (ac) magnetic field in an electromagnetically levitated liquid metal droplet. The basic axisymmetric flow is found to become unstable at Reynolds numbers in the order of 100. The critical Reynolds number Rec and the corresponding most unstable azimuthal wave number m are found for several configurations of the magnetic field depending on the skin-depth δ. For a uniform external' ac magnetic field the azimuthal wave number of the most unstable mode is m = 3. An additional steady (dc) magnetic field imposed along the axis of symmetry increases the stability of the flow.

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DO - 10.1063/1.1535410

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Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field

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