An axial-flow turbine stage is to be designed for free-vortex conditions at exit from the nozzle…

 An axial-flow turbine stage is to be designed for free-vortex conditions at exit from the nozzle row and for zero swirl at exit from the rotor. The gas entering the stage has a stagnation temperature of 1000 K, the mass flow rate is 32 kg/s, the root and tip diameters are 0.56 m and 0.76 m, respectively, and the rotor speed is 8000 rev/min. At the rotor tip, the stage reaction is 50% and the axial velocity is constant at 183 m/s. The velocity of the gas entering the stage is equal to that leaving. Determine a. the maximum velocity leaving the nozzles; b. the maximum absolute Mach number in the stage; c. the root section reaction; d. the power output of the stage; e. the stagnation and static temperatures at stage exit. Take R 5 0.287 kJ/(kg K) and Cp 5 1.147 kJ/(kg K).

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