Asymptotic analysis and symmetry in MHD convection

被引:34
作者
Alboussiere, T [1 ]
Garandet, JP [1 ]
Moreau, R [1 ]
机构
[1] CEN GRENOBLE,SES,DEM,CEREM,DTA,CEA,F-38054 GRENOBLE 09,FRANCE
关键词
D O I
10.1063/1.868994
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The motion of an electrically conducting fluid in the presence of a steady magnetic field is analyzed. For any non-uniform magnetic field and any 'non-electromagnetic driving force, a high Hartmann number asymptotic analysis is developed using curvilinear coordinates based on the magnetic field. This analysis yields the structure of the electric current density and velocity fields. In a second step, orthogonal planar symmetries lead to a significant simplification of the asymptotic structure, depending on the nature of the symmetry. The asymptotic solution is applied to some configurations, some of them corresponding to crystal growth from a melt. In the case of electrically insulating boundaries, the nature of the symmetry is found to govern the magnitude and structure of the damped velocity. (C) 1996 American Institute of Physics.
引用
收藏
页码:2215 / 2226
页数:12
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