The exit cross-sectional-area of a converging nozzle (mo= 6 kgs-1, To= 227.74 K, po=199.26 kPa, v1= 190 ms-1, pb= 90 kPa),

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Air flows from a reservoir through a convergent-divergent nozzle and then a Fanno flow in the constant-area duct (see figure). The area ratio A₁/Ath of the nozzle is 2.9. The constant-area duct is 50-cm long with a diameter of 1 cm. The friction coefficient in the duct is 0.02. The back pressure is 50 kPa. What is the range of the reservoir pressures that will cause a normal shock to occur in the duct? Pr 2 Pb = 50 kPa

A radial flow reaction turbine has the following characteristics: Circumferential area at entrance and exit: Ag = 258 cm² ,Ac2 = 180 cm² ; Q = 0.1n7 = 0.82 ,r, = 25 cm, r3 - 12.5 cm, B, = 140°, Bz = 155°, az = 90°, 0, = 0.75, and nwyd = 92 % . Assume shockless entrance of water to blade. Find: (a) The rotative speed under these conditions, in rpm (b) The hydraulic Torque, in k) The Brake Power in kW (c) (d) the coefficient of velocity c, at entrance to blade (e) The net Head, in m. (f) Draw the velocity diagram and label.