Effect of Non-Uniform Temperature Gradient and Magnetic Field on Onset of Marangoni Convection Heated From Below by a Constant Heat Flux

S. P. M. Isa; N. M. Arifin; R. Nazar; M. N. Saad

doi:10.3879/j.issn.1000-0887.2010.07.001

Volume 31 Issue 7

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S. P. M. Isa, N. M. Arifin, R. Nazar, M. N. Saad. Effect of Non-Uniform Temperature Gradient and Magnetic Field on Onset of Marangoni Convection Heated From Below by a Constant Heat Flux[J]. Applied Mathematics and Mechanics, 2010, 31(7): 765-771. doi: 10.3879/j.issn.1000-0887.2010.07.001

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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

doi: 10.3879/j.issn.1000-0887.2010.07.001

Intitute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Received Date: 1900-01-01
Rev Recd Date: 2010-01-11
Publish Date: 2010-07-15

Abstract

Abstract

The effect of magnetic field and a non-uniform temperature gradient on the Marangoni convection in a horizontal fluid layer, heated from below and cooled from above with a constantheat flux was investigated. A linear stability analysis was performed to undertake a detailed investigation. The influence of various parameters on the onset of convection was analyzed. Six non-uniform basic temperature profiles were considered and some general conclusions about their destabilizing effects were presented.
- Marangoni convection,
- non-uniform temperature,
- magnetic field,
- Galerkin procedure,
- perturbed solutions

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References(23)

References

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