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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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

3.0<br />

2.0<br />

1.0<br />

0<br />

h tt = 0.82<br />

120∞<br />

e R = 140∞<br />

Axial-flow Turbines: Two-dimensional Theory 111<br />

0.84<br />

0.92<br />

0.5 1.0 1.5<br />

Flow coefficient, f = c x /U<br />

highest efficiencies being obtained at the lowest values <strong>of</strong> f <strong>and</strong> y, except that higher<br />

efficiencies are obtained at higher values <strong>of</strong> the stage loading but at reduced values <strong>of</strong><br />

the flow coefficient.<br />

Total-to-static efficiency <strong>of</strong> stage with axial velocity at exit<br />

100∞<br />

A single-stage axial turbine will have axial flow at exit <strong>and</strong> the most appropriate<br />

efficiency is usually total-to-static. To calculate the performance, eqn. (4.10a) is<br />

used:<br />

With axial flow at exit, c1 = c 3 = c x, <strong>and</strong> from the velocity diagram, Figure 4.12,<br />

0.86<br />

80∞<br />

0.88<br />

0.90<br />

FIG. 4.11. Design point total-to-total efficiency <strong>and</strong> rotor flow deflection angle for a<br />

zero reaction turbine stage.<br />

60∞<br />

40∞<br />

0.86<br />

0.84<br />

0.82

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