Citation
Mohamed Isa, Siti Suziliana Putri and Md. Arifin, Norihan and Nazar, Roslinda and Saad, Mohd Noor
(2010)
Effect of magnetic field and non-uniform temperature gradient on Marangoni convection with free-slip bottom.
International Journal of Applied Mathematics and Mechanics, 6 (3).
pp. 96-106.
ISSN 0973-0184
Abstract
The effect of magnetic field on the onset of Marangoni convection in a horizontal layer with a free-slip bottom heated from below and cooled from above with non-uniform basic temperature gradient is considered. A linear stability analysis is performed to undertake a detailed investigation. The eigenvalues are obtained for lower rigid isothermal and upper free adiabatic boundaries. The influence of various parameters on the onset of convection has been analyzed. Six non-uniform basic temperature profiles are considered and some general conclusions about their destabilizing effects are presented.
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