(Solved): 3. Air flows from a stagnation source, at To = 600 K, through a converging-diverging isentropic no ...

3. Air flows from a stagnation source, at To = 600 K, through a converging-diverging isentropic nozzle, enters a constant diameter tube of diameter 2.5 cm and length 1.5m at M2 > 1, and then exits to the atmosphere at M3 -1 and P3 = 1 bar. Assuming a constant f* = 0.0072 : (a) what is the duct inlet M2 ?; (b) what is the source stagnation Po ?; (c) what is the nozzle throat area, At?; (d) what is the flow rate?; (e) what exit P3 > 1 bar would cause a shock wave in the CD nozzle at a shock Ms = 2.25 for same dimensions, and same Po, and To? assume M< 1 in the tube. Give M2 and M3 also. bo Approx. Ans: (a) M2 -2; (b) Po~ 7 bar; (c) At ~ 1.6 x 104 m²; (d) m~ 0.14 kg/s; (e) P3 ~ 2.9 bar ; M2 ~ 0.5; M3~0.3 F