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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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<strong>of</strong> diffusion <strong>of</strong> kinetic energy in the rotor <strong>and</strong> stator rows, significantly influences the<br />

stage efficiency.<br />

<strong>Thermodynamics</strong> <strong>of</strong> the compressor stage<br />

Axial-flow Compressors <strong>and</strong> Fans 149<br />

The specific work done by the rotor on the fluid, from the steady flow energy equation<br />

(assuming adiabatic flow) <strong>and</strong> momentum equation is<br />

(5.1)<br />

In Chapter 4 it was proved for all axial turbomachines that h0rel = h + 1 – 2 w 2 is constant<br />

in the rotor. Thus,<br />

(5.2)<br />

This is a valid result as long as there is no radial shift <strong>of</strong> the streamlines across the rotor<br />

(i.e. U1 = U2).<br />

Across the stator, h0 is constant, <strong>and</strong><br />

(5.3)<br />

The compression process for the complete stage is represented on a Mollier diagram<br />

in Figure 5.3, which is generalised to include the effects <strong>of</strong> irreversibility.<br />

FIG. 5.3. Mollier diagram for an axial compressor stage.

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