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Effect of non-uniform temperature gradient and magnetic field on onset of Marangoni convection heated from below by a constant heat flux

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Abstract

This paper investigates the effect of non-uniform temperature gradient and magnetic field on Marangoni convection in a horizontal fluid layer heated from below and cooled from above with a constant heat flux. A linear stability analysis is performed. The influence of various parameters on the convection onset is analyzed. Six non-uniform basic temperature profiles are considered, and some general conclusions about their destabilizing effects are presented.

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Authors and Affiliations

  1. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

    S. P. M. Isa, N. M. Arifin & M. N. Saad

  2. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, UKM Bangi Selangor, Malaysia

    R. Nazar

Authors
  1. S. P. M. Isa
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  2. N. M. Arifin
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  3. R. Nazar
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  4. M. N. Saad
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Corresponding author

Correspondence to N. M. Arifin.

Additional information

Communicated by Jian-zhong LIN

Project supported by the Science Fund Research Grant from Kementerian Sains dan Teknologi (MOSTI)

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Isa, S.P.M., Arifin, N.M., Nazar, R. et al. Effect of non-uniform temperature gradient and magnetic field on onset of Marangoni convection heated from below by a constant heat flux. Appl. Math. Mech.-Engl. Ed. 31, 797–804 (2010). https://doi.org/10.1007/s10483-010-1314-z

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  • DOI: https://doi.org/10.1007/s10483-010-1314-z

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2000 Mathematics Subject Classification

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