%0 Journal Article
%T Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
%A M. N. Mahmud
%A R. Idris
%A I. Hashim
%J International Journal of Differential Equations
%D 2009
%I Hindawi Publishing Corporation
%R 10.1155/2009/748794
%X 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 M 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.
%U http://www.hindawi.com/journals/ijde/2009/748794/