Vorticity interaction in a two-dimensional unsteady stagnation flow with an applied magnetic field

Abstract

The effect of vorticity on boundary layers is important. In order to understand the role of vorticity on the boundary layer, Li [1,2], Glauert [3] and Murray [4] have considered the incompressible fluic flow over a flat plate. Stuart [5] has studied the incompressible flow in the neighbourhood of a tow-dimensional stagnation point with a constant vorticity in the incoming flow. Dey and Nath [6] have used parabolic coordinates to study the effect of uniform vorticity on the incompressible flow over a semi-infinite flat plate. The above studies pertain to steady flows. However, in many physical problems, the free stream shear may depend on time. It may be noted that the two-dimensional nonsteady motion of incompressible viscous fluid without voriticity in the free stream in the vicinity of a forward stagnation point has been studied by Rott [7], Yang [8] and Williams [9].