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Growth rates of Bénard-Marangoni convection in a fluid layer in the presence of a magnetic field

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Abstract

In this paper we analyze the effect of a uniform vertical magnetic field on the linear growth (and decay) rates of the steady Bénard-Marangoni instability in a horizontal layer of quiescent, electrically conducting fluid with a uniform vertical temperature gradient subject to a prescribed heat flux at its lower boundary. Explicit analytical expressions for the linear growth rates of long-waves instability modes are derived for the first time. The numerically-calculated linear growth (or decay) rates showing the stabilizing effect of the magnetic field are also presented.

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Authors and Affiliations

  1. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi Selangor, Malaysia

    Ishak Hashim

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  1. Norihan Md Arifin
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  2. Ishak Hashim
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Correspondence to Ishak Hashim.

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Arifin, N.M., Hashim, I. Growth rates of Bénard-Marangoni convection in a fluid layer in the presence of a magnetic field. Microgravity Sci. Technol 15, 22–27 (2004). https://doi.org/10.1007/BF02870948

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  • DOI: https://doi.org/10.1007/BF02870948

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