MHD oblique stagnation-point flow of a Newtonian fluid

被引:32
作者
Borrelli, Alessandra [1 ]
Giantesio, Giulia [1 ]
Patria, Maria Cristina [1 ]
机构
[1] Univ Ferrara, Dipartimento Matemat, I-44100 Ferrara, Italy
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2012年 / 63卷 / 02期
关键词
MHD flow; Oblique stagnation-point flow; Newtonian fluids;
D O I
10.1007/s00033-011-0174-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The steady two-dimensional oblique stagnation-point flow of an electrically conducting Newtonian fluid in the presence of a uniform external electromagnetic field (E (0), H (0)) is analysed, and some physical situations are examined. In particular, if E (0) vanishes, H (0) lies in the plane of the flow, with a direction not parallel to the boundary, and the induced magnetic field is neglected, it is proved that the oblique stagnation-point flow exists if and only if the external magnetic field is parallel to the dividing streamline. In all cases it is shown that the governing nonlinear partial differential equations admit similarity solutions, and the resulting ordinary differential problems are solved numerically. Finally, the behaviour of the flow near the boundary is analysed; this depends on the Hartmann number if H (0) is parallel to the dividing streamline.
引用
收藏
页码:271 / 294
页数:24
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