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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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The power output <strong>of</strong> the stage can be determined from impulse–<br />

momentum considerations. Efficiency is shown to be [6]<br />

Where<br />

Z ¼ 2 w<br />

V0<br />

Va<br />

V0<br />

þ Vb<br />

V0<br />

w ¼ the mass <strong>of</strong> steam flowing per second.<br />

Alternatively,<br />

Z ¼ V2 1 V2 2 þ V2 3 V2 4<br />

V 2 0<br />

ð10Þ<br />

ð11Þ<br />

The theoretical efficiency <strong>of</strong> stages with reactions is shown in Fig. 27. The<br />

parameter X indicates the fraction <strong>of</strong> stage energy released in the blades. As<br />

shown in the figure, in a pure impulse stage, where X ¼ 0, the optimum ratio<br />

<strong>of</strong> W=V0 is 0.5. Optimum ratios for other percent reactions are shown in<br />

Fig. 27. Note that in reality, as the velocity ratio, W=V0, changes, the<br />

fractional reaction will also change. Thus the change in efficiency <strong>of</strong> an<br />

actual turbine stage efficiency would cut across the velocity ratio curves with<br />

changes in imposed reaction. Rotating steam turbine blades utilized in<br />

impulse type <strong>of</strong> construction are <strong>of</strong>ten referred to as ‘‘buckets.’’<br />

Figure 27 Thermodynamic efficiency <strong>of</strong> a turbine stage versus velocity ratio for<br />

various bucket/blade reactions.<br />

Copyright © 2003 Marcel Dekker, Inc.

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