1 50 points design the angular orientations of a 4 stage axial compres

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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.