### Abstract

The effect of the simultaneous action of a uniform magnetic field and a uniform angular velocity on the linear stability of the Benard layer to time-dependent convective motions is examined in the Boussinesq approximation. Four models, characterized by the relative directions of the magnetic field, angular velocity and gravitational force, are discussed under a variety of boundary conditions. Apart from a few cases, the treatment applies when the Taylor number T and the Chandrasekhar number Q (the square of the Hartmann number) are large. (These parameters are dimensionaless measures of angular velocity and magnetic field, respectively). It is shown that the motions at the onset of instability can be of three types.

Original language | English |
---|---|

Pages (from-to) | 161-179 |

Number of pages | 19 |

Journal | Journal of Fluid Mechanics |

Volume | 71 |

Issue number | pt 1 |

Publication status | Published - Sep 9 1975 |

### Fingerprint

### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Journal of Fluid Mechanics*,

*71*(pt 1), 161-179.

**OVERSTABLE HYDROMAGNETIC CONVECTION IN A ROTATING FLUID LAYER.** / Eltayeb, I. A.

Research output: Contribution to journal › Article

*Journal of Fluid Mechanics*, vol. 71, no. pt 1, pp. 161-179.

}

TY - JOUR

T1 - OVERSTABLE HYDROMAGNETIC CONVECTION IN A ROTATING FLUID LAYER.

AU - Eltayeb, I. A.

PY - 1975/9/9

Y1 - 1975/9/9

N2 - The effect of the simultaneous action of a uniform magnetic field and a uniform angular velocity on the linear stability of the Benard layer to time-dependent convective motions is examined in the Boussinesq approximation. Four models, characterized by the relative directions of the magnetic field, angular velocity and gravitational force, are discussed under a variety of boundary conditions. Apart from a few cases, the treatment applies when the Taylor number T and the Chandrasekhar number Q (the square of the Hartmann number) are large. (These parameters are dimensionaless measures of angular velocity and magnetic field, respectively). It is shown that the motions at the onset of instability can be of three types.

AB - The effect of the simultaneous action of a uniform magnetic field and a uniform angular velocity on the linear stability of the Benard layer to time-dependent convective motions is examined in the Boussinesq approximation. Four models, characterized by the relative directions of the magnetic field, angular velocity and gravitational force, are discussed under a variety of boundary conditions. Apart from a few cases, the treatment applies when the Taylor number T and the Chandrasekhar number Q (the square of the Hartmann number) are large. (These parameters are dimensionaless measures of angular velocity and magnetic field, respectively). It is shown that the motions at the onset of instability can be of three types.

UR - http://www.scopus.com/inward/record.url?scp=0016847180&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016847180&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0016847180

VL - 71

SP - 161

EP - 179

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

IS - pt 1

ER -