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.
引用
收藏
页码:5 / 8
页数:4
相关论文
共 50 条
  • [21] Benard-Marangoni convection in two thin immiscible liquid layers with a uniform magnetic field
    Rao, AR
    Biswal, PC
    ACTA MECHANICA, 2001, 151 (1-2) : 61 - 73
  • [22] Benard-Marangoni ferroconvection with magnetic field dependent viscosity
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Arunkumar, R.
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2010, 322 (15) : 2256 - 2263
  • [23] THE EFFECT OF A UNIFORM MAGNETIC-FIELD ON THE ONSET OF STEADY BENARD-MARANGONI CONVECTION IN A LAYER OF CONDUCTING FLUID
    WILSON, SK
    JOURNAL OF ENGINEERING MATHEMATICS, 1993, 27 (02) : 161 - 188
  • [24] ON BENARD-MARANGONI INSTABILITY IN THE PRESENCE OF A MAGNETIC-FIELD
    THESS, A
    NITSCHKE, K
    PHYSICS OF FLUIDS, 1995, 7 (05) : 1176 - 1178
  • [25] Benard-Marangoni convective instability in presence of a magnetic field
    Lebon, G
    Hannaoui, M
    Cerisier, P
    Legros, JC
    ADVANCES IN FLUID MECHANICS, 1996, 9 : 147 - 156
  • [26] The effect of a magnetic field on the linear growth rates of Bénard-Marangoni convection
    Ishak Hashim
    Norihan Md Arifin
    Microgravity - Science and Technology, 2005, 17 : 5 - 8
  • [27] Direct numerical simulation of Benard-Marangoni convection
    Medale, M
    Cerisier, P
    CHT'01: ADVANCES IN COMPUTATIONAL HEAT TRANSFER II, VOLS 1 AND 2, PROCEEDINGS, 2001, : 791 - 797
  • [28] Onset of Benard-Marangoni convection in a micropolar fluid
    Alloui, Z.
    Vasseur, P.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (13-14) : 2765 - 2773
  • [29] Pattern dynamics in a Benard-Marangoni convection experiment
    Huerta, M
    Krmpotic, D
    Mindlin, GB
    Mancini, H
    Maza, D
    PerezGarcia, C
    PHYSICA D, 1996, 96 (1-4): : 200 - 208