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 -