In this paper the steady three-dimensional stagnation-poi nt flow of an incompressible, homogeneous, electrically conducting Newtonian fluid over a flat plate is investigated numerically. The fluid is permeat ed by a uniform external magnetic field H0. The effects of the magnetic field on the velocity profiles are presented graphically and discussed. This paper completes the analysis concerning the Newtonian fluids devoleped in [4]. The obtained results indicate that the thickness of the boundary layer de- creases when the magnetic field increases. Moreover H0 tends to prevent the occurrence of the reverse flow. By virtue of the numerical integration, the stagnation-point is classified as nodal or saddle point and as attachment or separation point.
Borrelli, A., Giantesio, G., Patria, M. C., ON THE NUMERICAL SOLUTIONS OF THREE-DIMENSIONALMHD STAGNATION-POINT FLOW OF A NEWTONIAN FLUID, <<INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS>>, 2013; 86 (2): 425-442. [doi:10.12732/ijpam.v86i2.16] [http://hdl.handle.net/10807/60251]
ON THE NUMERICAL SOLUTIONS OF THREE-DIMENSIONAL MHD STAGNATION-POINT FLOW OF A NEWTONIAN FLUID
Giantesio, Giulia;
2013
Abstract
In this paper the steady three-dimensional stagnation-poi nt flow of an incompressible, homogeneous, electrically conducting Newtonian fluid over a flat plate is investigated numerically. The fluid is permeat ed by a uniform external magnetic field H0. The effects of the magnetic field on the velocity profiles are presented graphically and discussed. This paper completes the analysis concerning the Newtonian fluids devoleped in [4]. The obtained results indicate that the thickness of the boundary layer de- creases when the magnetic field increases. Moreover H0 tends to prevent the occurrence of the reverse flow. By virtue of the numerical integration, the stagnation-point is classified as nodal or saddle point and as attachment or separation point.
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