[3] The air entering the impeller of a centrifugal compressor has an absolute axial velocity of 100m/s. At rotor exit the relative air angle measured from the radial direction is 27°, the radial component of velocity is 130 m/s and the tip speed of the radial vanes is 600 m/s. Determine the power required to drive the compressor when the air flow rate is 2.5 kg/s and the mechanical efficiency is 94%. If the radius ratio of the impeller eye is 0.3, calculate a suitable inlet diameter assuming the inlet flow is incompressible. Determine the overall total pressure ratio of the compressor when the total-to-total efficiency is 82%, assuming the velocity at exit from the diffuser is negligible.

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Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.