1. (50 Points) Design the angular orientations of a 4 stage axial compressor that generates a total compression ratio = 9. Assume that the axial velocity has the constant magnitude of 277 m/s. The rotor is designed at the nominal radius of 0.8 m and constant rotation rate of 5000 rpm. Static properties of the fluid before the first stator are 250 K and 88 kPa with standard specific heat ratio of 1.4. The first element is a stator (inlet guide vane) that turns the flow 8°. Select the subsequent angles for the remaining stages to achieve the necessary to ±4% accuracy. Provide the following in your analysis: (a) Velocity triangles drawn to scale for each stator-rotor stage (b) The degree of reaction determined by the angles you designed (50% is not required) (c) The static and total properties of the fluid as a function of stage position (d) The total work done by the compressor as a result of the design Extra Credit: (20 Points) If you consider the entire blade length from 0.65 <r<0.95 m, draw a three dimensional model of the blade used in middle stage rotor-stator pair. In other words, as the radius changes, the angle of deflection will adjust to still maintain the compression ratio.

Fig: 1