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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (7): 797-804.doi: https://doi.org/10.1007/s10483-010-1314-z

• Articles •    下一篇

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

S.P.ISA1, N.M.ARIFIN1, R.NAZAR2, M.N.SAAD1   

  1. 1. Institute for Mathematical Research, Universiti Putra Malaysia,43400 UPM Serdang, Selangor, Malaysia;
    2. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
  • 收稿日期:2009-07-03 修回日期:2010-01-11 出版日期:2010-07-01 发布日期:2010-07-01

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

S.P.ISA1, N.M.ARIFIN1, R.NAZAR2, M.N.SAAD1   

  1. 1. Institute for Mathematical Research, Universiti Putra Malaysia,43400 UPM Serdang, Selangor, Malaysia;
    2. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
  • Received:2009-07-03 Revised:2010-01-11 Online:2010-07-01 Published:2010-07-01

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被引次数

7

摘要： 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.

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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