Air flows through a short duct with a smooth inside surface andgradually changing flow area. The measured flow rate is equal to288 lbm/min. At the duct inlet, the temperature is equal to 82 degF, and the pressure is equal to 15 psia. The inlet velocity isequal to 924 ft/s. At the duct exit, the pressure is equal to 21.7psia. (I.) Calculate the cross-sectional flow area of the ductinlet. (II.) Estimate the temperature and velocity at the ductexit. (III.) Explain why it is (or is not) possible that the ductshape is a diverging passage. (IV.) Explain why it is (or is not)possible that the duct is a converging-diverging passage. (Hint:use quantitative reasoning and compressible flow theory for partsIII and IV.)
