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

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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.

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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

  2. Department of Mathematics, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia

    Norihan Md Arifin

Authors
  1. Ishak Hashim
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  2. Norihan Md Arifin
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Hashim, I., Arifin, N.M. The effect of a magnetic field on the linear growth rates of Bénard-Marangoni convection. Microgravity Sci. Technol 17, 5–8 (2005). https://doi.org/10.1007/BF02870973

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  • DOI: https://doi.org/10.1007/BF02870973

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