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 -