An axial-flow air compressor consists of 10 rotor/stator stages each built from p gblades of identical cross-section and designed such that the axial velocity is constant throughout the machine. The first stage is shown schematically in Figure L11. The flow enters each rotor row and leaves each stator row axially. All flow processes may be assumed to be isentropic. V3 V1Mass flow rate = 5 kg/sPressure ratio across each stage = 1.25 Degree of reaction for each stage = 50% Rotational speed = 6000 rpm 293 Inlet temperature and pressure = 293 K and 1 bar Stator entry flow angle = 25° to tangential V2
Calculate to 3 significant figures:
a) the overall pressure increase.
b) the density at inlet to the compressor.
c) the pressure, density and temperature at exit from the compressor.
d) the density and temperature at exit from the first stage.
e) the temperature at exit from the first rotor row.
f) the axial velocity
g) the rotor absolute exit velocity and the tangential velocity at exit from the first rotor row.
h) the overall power input into the compressor.