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 \(3 \mathrm{in}\). square. At a section \(1 \mathrm{ft}\) downstream from the entrance, the displacement thickness, \(\delta^{*}\), on each wall measures 0.035 in. Determine the pressure change between sections (1) and (2).

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Uo (1) (2) = 0.035 in. P9.19 3 in. T 3 in.