### Abstract

We obtain explicit analytical expressions for the linear growth rates of the steady Bénard-Marangoni convection in a horizontal layer of electrically-conducting fluid with a deformable free upper surface in the presence of a uniform vertical magnetic field subjected to a constant temperature at its lower boundary. The leading order behavior of the marginal stability curve for the onset of steady Bénard-Marangoni convection is also given. The numerically-calculated linear growth rates showing the stabilizing effect of the magnetic field are presented.

Original language | English |
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Pages (from-to) | 5-8 |

Number of pages | 4 |

Journal | Microgravity Science and Technology |

Volume | 17 |

Issue number | 2 |

Publication status | Published - 2005 |

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### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Mechanics of Materials
- Computational Mechanics

### Cite this

*Microgravity Science and Technology*,

*17*(2), 5-8.

**The effect of a magnetic field on the linear growth rates of Bénard-Marangoni convection.** / Hashim, Ishak; Md Arifin, Norihan.

Research output: Contribution to journal › Article

*Microgravity Science and Technology*, vol. 17, no. 2, pp. 5-8.

}

TY - JOUR

T1 - The effect of a magnetic field on the linear growth rates of Bénard-Marangoni convection

AU - Hashim, Ishak

AU - Md Arifin, Norihan

PY - 2005

Y1 - 2005

N2 - We obtain explicit analytical expressions for the linear growth rates of the steady Bénard-Marangoni convection in a horizontal layer of electrically-conducting fluid with a deformable free upper surface in the presence of a uniform vertical magnetic field subjected to a constant temperature at its lower boundary. The leading order behavior of the marginal stability curve for the onset of steady Bénard-Marangoni convection is also given. The numerically-calculated linear growth rates showing the stabilizing effect of the magnetic field are presented.

AB - We obtain explicit analytical expressions for the linear growth rates of the steady Bénard-Marangoni convection in a horizontal layer of electrically-conducting fluid with a deformable free upper surface in the presence of a uniform vertical magnetic field subjected to a constant temperature at its lower boundary. The leading order behavior of the marginal stability curve for the onset of steady Bénard-Marangoni convection is also given. The numerically-calculated linear growth rates showing the stabilizing effect of the magnetic field are presented.

UR - http://www.scopus.com/inward/record.url?scp=28444471594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28444471594&partnerID=8YFLogxK

M3 - Article

VL - 17

SP - 5

EP - 8

JO - Microgravity Science and Technology

JF - Microgravity Science and Technology

SN - 0938-0108

IS - 2

ER -