Because of the velocity deficit, \(U-u\), in the boundary layer, the streamlines for flow past a flat plate are not exactly parallel to the plate. This deviation can be determined by use of the displacement thickness, \(\delta^{*}\). For air blowing past the flat plate shown in Fig. P9.18, plot the streamline \(A-B\) that passes through the edge of the boundary layer \(\left(y=\delta_{B}\right.\) at \(\left.x=\ell\right)\) at point \(B\). That is, plot \(y=y(x)\) for streamline \(A-B\). Assume laminar boundary layer flow.

Figure P9.18

Transcribed Image Text:

U = 1 m/s Streamline A-B B Edge of boundary layer e=4m