### 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 |

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### 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

### Cite this

**The Influence of the Electrical Conductivity of the Boundary on the Stability of a Hydromagnetic - Rotating Fluid Layer.** / Eltayeb, I. A.; Yazlcl, A.

Research output: Contribution to journal › Article

*Geophysical and Astrophysical Fluid Dynamics*, vol. 41, no. 3-4, pp. 213-231. https://doi.org/10.1080/03091928808208851

}

TY - JOUR

T1 - The Influence of the Electrical Conductivity of the Boundary on the Stability of a Hydromagnetic - Rotating Fluid Layer

AU - Eltayeb, I. A.

AU - Yazlcl, A.

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

KW - Boussinesq fluid

KW - magnetohydrodynamic waves

KW - rotating fluid layer

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=84973002507&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84973002507&partnerID=8YFLogxK

U2 - 10.1080/03091928808208851

DO - 10.1080/03091928808208851

M3 - Article

VL - 41

SP - 213

EP - 231

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

SN - 0309-1929

IS - 3-4

ER -