Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid

M. N. Mahmud, R. Idris and I. Hashim

International Journal of Differential Equations, 2009, vol. 2009, 1-11

Abstract:

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term Galerkin technique. The critical conditions for the onset of convection have been presented graphically.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:748794

DOI: 10.1155/2009/748794

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