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62 Gas Turbine Handbook: Principles and Practices<br />

Figure 4-11. Velocity diagrams for a centrifugal compressor.<br />

Centrifugal force, applied in this way, is significant in the<br />

development of pressure. Upon exiting the impeller, the air moves<br />

into the diffuser (flow decelerator). The same deceleration of flow<br />

or “diffuser action” that causes pressure build-up in the axial flow<br />

compressor also occurs in the centrifugal compressor. The impeller<br />

is the only means of adding energy to the air and all the work on<br />

the air is done by these elements. The stationary components, such<br />

as guide vanes and diffusers, can only convert velocity energy into<br />

pressure energy (and incur losses). Pressure from the impeller eye<br />

to the impeller outlet is represented by the following:<br />

P m = G<br />

2g c<br />

C 2 2 – C 1 2 + U 2 2 – U 1 2 + W 1 2 – W 2<br />

2<br />

= G<br />

2g c<br />

C 2u U 2 – C 1u U 1<br />

(4-22)<br />

The term C 2 2 – C 1 2 /2g c represents the increase in kinetic energy<br />

contributed to the air by the impeller. The absolute velocity C 1<br />

(entering the impeller) increases in magnitude to C 2<br />

(leaving the<br />

impeller). The increase in kinetic energy of the air stream in the<br />

impeller does not contribute to the pressure increase in the impeller.<br />

However, the kinetic energy does convert to a pressure increase<br />

in the diffuser section. Depending on impeller design, pressure rise<br />

can occur in the impeller in relation to the terms U 2 2 – U 1 2 /2g c<br />

and W 1 2 – W 2 2 /2g c<br />

. The term U 2 2 – U 1 2 /2g c measures the pressure

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