TY - JOUR

T1 - MHD oblique stagnation-point flow of a Newtonian 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 Newtonian 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 Hartmann number if
H0 is parallel to the dividing streamline.

AB - The steady two-dimensional oblique stagnation-point flow of an electrically conducting Newtonian 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 Hartmann number if
H0 is parallel to the dividing streamline.

KW - MHD flow

KW - Newtonian fluids

KW - Oblique stagnation-point flow

KW - MHD flow

KW - Newtonian fluids

KW - Oblique stagnation-point flow

UR - http://hdl.handle.net/10807/60111

U2 - 10.1007/s00033-011-0174-8

DO - 10.1007/s00033-011-0174-8

M3 - Article

SN - 0044-2275

VL - 63

SP - 271

EP - 294

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

ER -