TY - JOUR
T1 - MHD oblique stagnation-point flow of a Micropolar fluid
AU - Borrelli, Alessandra
AU - Giantesio, Giulia
AU - Patria, Maria Cristina
PY - 2012
Y1 - 2012
N2 - The steady two-dimensional oblique stagnation-point flow of an electrically conducting micropolar fluid in the presence of a uniform external electromagnetic field (E0, H0) is analysed and some physical situations are examined. In particular, if E0 vanishes, H0 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 three dimensionless material parameters, and also on the Hartmann number if H0 is parallel to the dividing streamline.
AB - The steady two-dimensional oblique stagnation-point flow of an electrically conducting micropolar fluid in the presence of a uniform external electromagnetic field (E0, H0) is analysed and some physical situations are examined. In particular, if E0 vanishes, H0 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 three dimensionless material parameters, and also on the Hartmann number if H0 is parallel to the dividing streamline.
KW - MHD flow
KW - Micropolar fluids
KW - Oblique stagnation-point flow
KW - MHD flow
KW - Micropolar fluids
KW - Oblique stagnation-point flow
UR - http://hdl.handle.net/10807/60250
U2 - 10.1016/j.apm.2011.11.004
DO - 10.1016/j.apm.2011.11.004
M3 - Article
SN - 0307-904X
VL - 36
SP - 3949
EP - 3970
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
ER -