Two-Dimensional Slow Stagnation Flow with Shifted Centerline Toward a Slit
Two-dimensional slow stagnation flow having a shifted centerline toward a slit is investigated on the basis of the
Stokes approximation. The flow field is expressed in terms of two complex analytic functions. The functions which make the
flow satisfy the boundary conditions are analytically determined from the solutions of a pair of Riemann-Hilbert problems.
The streamline patterns including the local behavior near the sharp edges and the stress distributions on the plates are
calculated. The effects of the distance of centerline shift on the characteristics of flow including the shear stress on the plate
are also discussed.
Index Terms- Centerline Shift, Complex Velocity, Stagnation Flow, Stokes Approximation.