Abstract. In this paper the steady three-dimensional stagnation-point flow of an incompressible, homogeneous, electrically conducting Newtonian fluid over a flat plate is investigated numerically. The fluid is permeated 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 decreases 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.

Received: April 10, 2013

AMS Subject Classification: 76W05, 76D10

Key Words and Phrases: Newtonian fluids, MHD flow, three-dimensional stagnation-point flow, numerical solutions

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