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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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268 <strong>Fluid</strong> <strong>Mechanics</strong>, <strong>Thermodynamics</strong> <strong>of</strong> <strong>Turbomachinery</strong><br />

h/h opt<br />

1.1<br />

1.0<br />

0.9<br />

EXAMPLE 8.4. Given the following data for an IFR turbine<br />

determine the ratio <strong>of</strong> the relative velocity ratio, w3s/w 2 at the shroud.<br />

Solution. As w3s/cm3 = sec b 3s <strong>and</strong> w3av/cm3 = sec b3av, then<br />

From eqn. (8.45),<br />

3.0 4.0 4.5 5.0<br />

ZL/D 2<br />

0.8<br />

1.5 2.0 2.5 3.0<br />

r2/r3rms FIG. 8.9. Effects <strong>of</strong> vane solidity <strong>and</strong> rotor radius ratio on the efficiency ratio <strong>of</strong> the<br />

IFR turbine (adapted from Rodgers <strong>and</strong> Geiser 1987).<br />

The relative velocity ratio will increase progressively from the hub to the shroud.<br />

EXAMPLE 8.5. Using the data <strong>and</strong> results given in Examples 8.3 <strong>and</strong> 8.4 together<br />

with the additional information that<br />

6.0

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