Numerical simulations of three-dimensional MHD stagnation-point flow of a micropolar fluid

Abstract

In this paper the steady three-dimensional stagnation-point flow of an incompressible, homogeneous, electrically conducting micropolar fluid over a flat plate is numerically investigated. The fluid is permeated by a uniform external magnetic field. The effects of the magnetic field on the velocity and on the microrotation profiles are presented graphically and discussed. The results obtained indicate that the thickness of the boundary layer decreases when the magnetic field increases. Moreover the magnetic field tends to prevent the occurrence of the reverse flow and of the reverse microrotation

On the Numerical Solutions of Three-Dimensional MHD Stagnation-Point Flow of a Newtonian Fluid

“…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 H 0 tends to prevent the occurrence of the reverse flow.…”

“…In [4] we have proved that, if we impress an external magnetic field H 0 , and we neglect the induced magnetic field (as it is customary when the magnetic Reynolds number is very small), 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 by means of similarity transformations, we find that the flow has to satisfy a non-linear ordinary differential boundary value problem whose form depends on the direction of H 0 .…”

“…The aim of this paper is to complete our previous analysis concerning the steady three-dimensional flow of an incompressible, homogeneous, electrically conducting Newtonian fluid permeated by a uniform external magnetic field H 0 near a three-dimensional stagnation-point of a rigid wall ( [4]). The coordinate axes are fixed so that the stagnation-point is the origin and the rigid wall coincides with the plane x 2 = 0.…”

“…In Section 2, we formulate the problem, recall the results contained in [4] and define the nodal, saddle, attachment and separation points.…”

“…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].…”