期刊名称:International Journal of Differential Equations
印刷版ISSN:1687-9643
电子版ISSN:1687-9651
出版年度:2009
卷号:2009
DOI:10.1155/2009/748794
出版社:Hindawi Publishing Corporation
摘要: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.