Air flows in the entrance region of a square duct, as shown. The velocity is uniform, $U_{0}=100 \mathrm{ft} / \mathrm{s}$, and the duct is 3 in. square. At a section 1 ft downstream from the entrance, the displacement thickness, $\delta^{*},$ on each wall measures 0.035 in. Determine the pressure change between sections ? and ? .