Viscous power-law flow past a finite flat plate

Viscous flow past a finite flat plate is studied numerically, using a high order implicit finite difference scheme. The plate moves in direction normal to itself with velocity $V_{\infty}=t^p$. We present the dependence of the vorticity evolution, streamlines and streaklines on $p \in [0, 2]$ and on Reynolds number $Re \in [250, 2000]$, and compare with experimental results of Pullin \& Perry (1980). We observe that, unlike in the p=0 case, for $p\ne 0$ the vortex core position oscillates as it moves away from the plate.