### Abstract

The stability of a horizontal layer of Boussinesq fluid, heated from below and cooled from above, rotating uniformly about the vertical in the presence of a uniform vertical magnetic field is studied for the case where the thermal diffusivity K is much larger than the magnetic diffusivity n (= l/μlδe where μ is the magnetic permeability and μ, is the electrical conductivity). The stability problem depends on the five dimensionless numbers Ra, T, M, q, qb. The Rayleigh number, Ra, is a measure of the buoyancy force, the Taylor number, T, is a measure of the Coriolis force, the Hartmann number, M, is a measure of the Lorentz force and q=k/n, while qb=Kμδb, where ub is the electrical conductivity of the boundary.

Original language | English |
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Pages (from-to) | 213-231 |

Number of pages | 19 |

Journal | Geophysical and Astrophysical Fluid Dynamics |

Volume | 41 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 1988 |

### Keywords

- Boussinesq fluid
- magnetohydrodynamic waves
- rotating fluid layer
- stability

### ASJC Scopus subject areas

- Geochemistry and Petrology
- Geophysics
- Computational Mechanics
- Astronomy and Astrophysics
- Mechanics of Materials