An axial turbine stage with the following customer specifications has to be designed:

• A power output of 4 MW.?
• The expanding mass flow (R=287 and isentropic exponent g=1.334) is ?=40 kg/s.?
• Total conditions at the inlet of the turbine: p01 = 2.42 bar and T01 = 800 K
• Shaft speed 12000 rpm
• The hub radius at the inlet of the stator vane (Ri in the figure) is 30 cm.

Assume that the axial velocity across the whole stage is constant and cx=150 m/s.

1. Design the blade at mid-span: calculate velocities and blade angles

shroud hub Cx1 1 stator Ri 2 rotor 3