TY - JOUR

T1 - THREE-DIMENSIONAL MHD STAGNATION POINT FLOW OF A NEWTONIAN AND A MICROPOLAR FLUID

AU - Borrelli, Alessandra

AU - Giantesio, Giulia

AU - Patria, Maria Cristina

PY - 2011

Y1 - 2011

N2 - The steady three-dimensional stagnation-point flow of an electrically conducting Newtonian or micropolar fluid in the presence of a uniform external magnetic field ${\H}_0$ is analysed and some physical situations are examined.
In particular, we prove that, if we impress an external magnetic field ${\H}_{0}$, and we neglect the induced magnetic field, then the steady three-dimensional MHD stagnation-point flow is possible if, and only if, ${\H}_0$ has the direction of one of the coordinate axes.
In all cases it is shown that the governing nonlinear partial differential equations admit similarity solutions. We find that the flow has to satisfy an ordinary differential problem whose solution depends on ${\H}_{0}$ through the Hartmann number $M^2$.
Finally, the skin-friction components along the axes are computed.

AB - The steady three-dimensional stagnation-point flow of an electrically conducting Newtonian or micropolar fluid in the presence of a uniform external magnetic field ${\H}_0$ is analysed and some physical situations are examined.
In particular, we prove that, if we impress an external magnetic field ${\H}_{0}$, and we neglect the induced magnetic field, then the steady three-dimensional MHD stagnation-point flow is possible if, and only if, ${\H}_0$ has the direction of one of the coordinate axes.
In all cases it is shown that the governing nonlinear partial differential equations admit similarity solutions. We find that the flow has to satisfy an ordinary differential problem whose solution depends on ${\H}_{0}$ through the Hartmann number $M^2$.
Finally, the skin-friction components along the axes are computed.

KW - MHD flow

KW - Micropolar fluids

KW - Newtonian fluids

KW - three-dimensional stagnation-point flow

KW - MHD flow

KW - Micropolar fluids

KW - Newtonian fluids

KW - three-dimensional stagnation-point flow

UR - http://hdl.handle.net/10807/60249

M3 - Article

SN - 1311-8080

VL - 73

SP - 165

EP - 188

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

ER -