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

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  • M. N. Mahmud
  • R. Idris
  • I. Hashim

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.

Suggested Citation

  • M. N. Mahmud & R. Idris & I. Hashim, 2009. "Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid," International Journal of Differential Equations, Hindawi, vol. 2009, pages 1-11, February.
    • Handle: RePEc:hin:jnijde:748794
    DOI: 10.1155/2009/748794
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