### 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 |
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Pages (from-to) | 668-678 |

Number of pages | 11 |

Journal | Physics of Fluids |

Volume | 15 |

Issue number | 3 |

Early online date | Jan 2003 |

DOIs | |

Publication status | Published - Mar 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- Magnetic fields
- Alternating current power transmission
- Reynolds
- Liquid metals
- Fluid drops

### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*15*(3), 668-678. https://doi.org/10.1063/1.1535410

**Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field.** / Shatrov, V.; Priede, J.; Gerbeth, G.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 15, no. 3, pp. 668-678. https://doi.org/10.1063/1.1535410

}

TY - JOUR

T1 - Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field

AU - Shatrov, V.

AU - Priede, J.

AU - Gerbeth, G.

PY - 2003/3

Y1 - 2003/3

N2 - 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.

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.

KW - Magnetic fields

KW - Alternating current power transmission

KW - Reynolds

KW - Liquid metals

KW - Fluid drops

UR - http://www.scopus.com/inward/record.url?scp=0346665663&partnerID=8YFLogxK

U2 - 10.1063/1.1535410

DO - 10.1063/1.1535410

M3 - Article

VL - 15

SP - 668

EP - 678

JO - Physics of Fluid

JF - Physics of Fluid

SN - 1070-6631

IS - 3

ER -