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

被引：0
作者：
Ishak Hashim
Norihan Md Arifin
机构：
[1] Universiti Kebangsaan Malaysia,School of Mathematical Sciences, Faculty of Science and Technology
[2] Universiti Putra Malaysia,Department of Mathematics
来源：
Microgravity - Science and Technology | 2005年 / 17卷
关键词：
Marangoni Number; Marangoni Convection; Linear Growth Rate; Vertical Magnetic Field; Explicit Analytical Expression;
D O I：
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学科分类号：
摘要：
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.
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页码：5 / 8
页数：3
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