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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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

Stage loading coefficient, y =DW/U 2<br />

3.0<br />

2.0<br />

1.0<br />

h tt = 0.82<br />

Also, y =DW/U 2 = f(tan a2 + tan a3) = f(tan b 2 + tan b 3) = 2f tan b 2,<br />

Thus, using the above expressions,<br />

e = 140∞<br />

0.84<br />

From these expressions the flow angles can be calculated if values for y <strong>and</strong> f are specified.<br />

From an inspection <strong>of</strong> the velocity diagram,<br />

Substituting the above expressions into eqn. (4.9a):<br />

120∞<br />

0.92<br />

0.5 1.0 1.5<br />

Flow coefficient, f = cx /U<br />

The performance chart shown in Figure 4.11 has been derived using the above expressions.<br />

This is similar in its general form to Figure 4.10 for a 50% reaction, with the<br />

100∞<br />

0.86<br />

0.90<br />

0.86 0.84<br />

FIG. 4.10. Design point total-to-total efficiency <strong>and</strong> deflection angle contours for a<br />

turbine stage <strong>of</strong> 50% reaction.<br />

0.88<br />

80∞<br />

0.82<br />

60∞<br />

40∞<br />

20∞

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