A centrifugal compressor has 23 radial vanes and an exit area equal to 0.12 m2,

Question

A centrifugal compressor has 23 radial vanes and an exit area equal to 0.12 m2, where the radial velocity is 27 m/s, and the tip speed of the impeller is 350 m/s. The total-to-total efficiency is 0.83. (a) Find the mass flow rate of air, given that the total pressure and temperature are 101.3 kPa and 298 K at the inlet, (b) What is the exit Mach number? (c) If the blade height at the exit is b = 3 cm and there is no leakage flow, what is the tip radius of the impeller? (d) Find the rotational speed of the compressor wheel, and the required power neglecting mechanical losses.

Explanation / Answer

total-to-total efficiency which is

From the steady flow energy equation, for an adiabatic process in a compressor is

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