### Abstract

The results of a study are presented of the linear stability of a magnetohydrodynamic planar free-shear flow subject to system rotation and a uniform magnetic field which are both parallel or antiparallel to the shear flow vorticity vector. The results show that, with anticyclonic rotation, the effect of the uniform magnetic field is to enlarge the unstable region of the rotating shear flow, while the growth rate of the most unstable disturbance is left unchanged. With cyclonic rotation, on the other hand, the effect of the magnetic field is to strongly stabilize the flow. The spatial structure of the anticyclonic magnetic shear/Coriolis instability mode is investigated. Considering the Rossby number at which the spatial extent of the most unstable disturbance becomes minimum, it is found that this Rossby number decreases as the uniform magnetic field is intensified.

Original language | English |
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Pages (from-to) | 1946-1955 |

Number of pages | 10 |

Journal | Physics of Fluids |

Volume | 13 |

Issue number | 7 |

DOIs | |

Publication status | Published - Jul 2001 |

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### ASJC Scopus subject areas

- Mechanics of Materials
- Computational Mechanics
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*13*(7), 1946-1955. https://doi.org/10.1063/1.1377296

**Rotating magnetohydrodynamic free-shear flows. I. Linear stability analysis.** / Yanase, Shinichiro; Mizuguchi, Masahiro; Riley, James J.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 13, no. 7, pp. 1946-1955. https://doi.org/10.1063/1.1377296

}

TY - JOUR

T1 - Rotating magnetohydrodynamic free-shear flows. I. Linear stability analysis

AU - Yanase, Shinichiro

AU - Mizuguchi, Masahiro

AU - Riley, James J.

PY - 2001/7

Y1 - 2001/7

N2 - The results of a study are presented of the linear stability of a magnetohydrodynamic planar free-shear flow subject to system rotation and a uniform magnetic field which are both parallel or antiparallel to the shear flow vorticity vector. The results show that, with anticyclonic rotation, the effect of the uniform magnetic field is to enlarge the unstable region of the rotating shear flow, while the growth rate of the most unstable disturbance is left unchanged. With cyclonic rotation, on the other hand, the effect of the magnetic field is to strongly stabilize the flow. The spatial structure of the anticyclonic magnetic shear/Coriolis instability mode is investigated. Considering the Rossby number at which the spatial extent of the most unstable disturbance becomes minimum, it is found that this Rossby number decreases as the uniform magnetic field is intensified.

AB - The results of a study are presented of the linear stability of a magnetohydrodynamic planar free-shear flow subject to system rotation and a uniform magnetic field which are both parallel or antiparallel to the shear flow vorticity vector. The results show that, with anticyclonic rotation, the effect of the uniform magnetic field is to enlarge the unstable region of the rotating shear flow, while the growth rate of the most unstable disturbance is left unchanged. With cyclonic rotation, on the other hand, the effect of the magnetic field is to strongly stabilize the flow. The spatial structure of the anticyclonic magnetic shear/Coriolis instability mode is investigated. Considering the Rossby number at which the spatial extent of the most unstable disturbance becomes minimum, it is found that this Rossby number decreases as the uniform magnetic field is intensified.

UR - http://www.scopus.com/inward/record.url?scp=0035399036&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035399036&partnerID=8YFLogxK

U2 - 10.1063/1.1377296

DO - 10.1063/1.1377296

M3 - Article

AN - SCOPUS:0035399036

VL - 13

SP - 1946

EP - 1955

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 7

ER -