An in compressible fluid flows past an impermeable flat plate, as in Fig. P3.16, with a uniform inlet profile u =and a cubic polynomial exit profile u \approx U_{0}\left(\frac{3 \eta-\eta^{3}}{2}\right)

\text { where } \eta=\frac{y}{\delta} Compute the volume flow Qcontrol volume.across the top surface of the