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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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Thus, the total-to-static efficiency is<br />

Radial Flow Gas Turbines 255<br />

The actual specific work output to the shaft, after allowing for the bearing friction<br />

loss, is<br />

Thus, the turbine overall total-to-static efficiency is<br />

h0 = D Wact ( h01 -h3ss)=<br />

73. 18%<br />

By rearranging eqn. (8.9a) the rotor enthalpy loss coefficient can be obtained:<br />

At rotor exit c3 is assumed to be uniform <strong>and</strong> axial. From the velocity triangles, Figure<br />

8.3,<br />

ignoring blade to blade velocity variations. Hence,<br />

(8.13)<br />

The lowest value <strong>of</strong> this relative velocity ratio occurs when r3 is least, i.e. r 3 = r 3h =<br />

(34.4 - 20.1)/2 = 7.15mm, so that<br />

Ê<br />

Ë<br />

w<br />

w<br />

3<br />

2av<br />

ˆ<br />

¯<br />

min<br />

2 2 12<br />

[ ] =<br />

= 0. 475 ¥ 2. 904 0. 415 + 0. 7536 1. 19<br />

The relative velocity ratio corresponding to the mean exit radius is

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