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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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expression:<br />

Where<br />

E ¼ uðV1 uÞð1 þ cos b 2Þ ð9Þ<br />

u ¼ blade speed.<br />

V1 ¼ jet speed.<br />

b 2 ¼ blade angle at the exit.<br />

The maximum power is obtained when b 2 is zero. However, when the blade<br />

angle is zero, water exiting from one bucket would strike the back <strong>of</strong> the<br />

succeeding bucket, so that the overall efficiency <strong>of</strong> the turbine would be<br />

reduced. Hence, the value <strong>of</strong> b 2 is normally set to 10–158.<br />

The bucket <strong>of</strong> a typical Pelton wheel is shown in Fig. 5. For reasons <strong>of</strong><br />

symmetry, the jet emerging from the nozzle is split into two parts and the<br />

fluid is equally distributed in the hemispherical buckets. Theoretically the<br />

centerline <strong>of</strong> the bucket, called the splitter, should be shaped like a cusp,<br />

with the two hemispheres meeting at the center, making the angle <strong>of</strong> contact<br />

<strong>of</strong> the two surfaces zero. However, this is not possible due to two reasons:<br />

first because <strong>of</strong> the difficulty in manufacturing such an intersection, and<br />

second because <strong>of</strong> the entrained sand and other abrasive particles in the jet,<br />

which invariably erode the splitter surface. Typical dimensions <strong>of</strong> the bucket<br />

Figure 5 Typical Pelton wheel dimensions.<br />

Copyright © 2003 Marcel Dekker, Inc.

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