This problem is a slight variation of the one we worked out in class. Suppose th
This problem is a slight variation of the one we worked out in class. Suppose that air at 101.3 kP a
and 288 K enters an axial compressor with a velocity of 170 m/s. Assume, as we did in class, that air
enters and leaves a compressor stage along the axial direction, and further that the velocity at the exit of
the stator is identical to the velocity at the inlet of the rotor. Let the hub and tip diameters be 0.457 m and
0.66 m, respectively, and let the rotors rotate at 8000 rpm. The air is turned by 15◦ as it passes through
the rotor blades. Note that these are exactly the same values as the problem we worked out in class. In
class, we computed the velocity triangles by focusing on the mid-section of the rotor and stator. Compute
the velocity triangles instead at the hub. Compute the compressor work and stage pressure ratio using
the velocity triangle computed at the hub. Repeat the same calculations (velocity triangles, compressor
work, and stage pressure ratio), but this time at the tip of the rotor and stator blades. Compare the values
you obtain, and those we obtained in class, and comment on what you observe. You can assume that
air is an ideal gas, and that R = 287.16 J/kg/K, and γ = 1.4.
I attached the values obtained in the class. Please don’t use chatgpt because it’s giving wrong values even the premium one. Please make sure you know the correct solution before taking the job. i found a solution on chegg but I’m pretty sure it’s not that accurate.
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