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

Ishak Hashim; Norihan Md Arifin

doi:10.1007/BF02870973

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

Ishak Hashim
, Norihan Md Arifin

Universiti Kebangsaan Malaysia
Universiti Putra Malaysia

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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
Pages (from-to)	5-8
Number of pages	4
Journal	Microgravity Science and Technology
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/BF02870973
State	Published - 2005
Externally published	Yes

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title = "The effect of a magnetic field on the linear growth rates of B{\'e}nard-Marangoni convection",

abstract = "We obtain explicit analytical expressions for the linear growth rates of the steady B{\'e}nard-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 B{\'e}nard-Marangoni convection is also given. The numerically-calculated linear growth rates showing the stabilizing effect of the magnetic field are presented.",

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AU - Md Arifin, Norihan

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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 - https://www.scopus.com/pages/publications/28444471594

U2 - 10.1007/BF02870973

DO - 10.1007/BF02870973

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JO - Microgravity Science and Technology

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

Abstract

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