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

被引:0
|
作者
Hashim, I [1 ]
Arifin, NM
机构
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia
[2] Univ Pertanian Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
关键词
D O I
10.1007/BF02870973
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
We obtain explicit analytical expressions for the linear growth rates of the steady Benard-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 Benard-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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页码:5 / 8
页数:4
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