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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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

FIG. 9.4. Six-jet vertical shaft Pelton turbine, horizontal section. Power rating<br />

174.4MW, runner diameter 4.1m, speed 300rev/min, head 587m. (Courtesy Sulzer<br />

Hydro Ltd., Zurich.)<br />

Nozzle<br />

U<br />

c 1<br />

w 1<br />

w 2<br />

U<br />

c 2<br />

Direction <strong>of</strong><br />

blade motion<br />

FIG. 9.5. The Pelton wheel showing the jet impinging onto a bucket <strong>and</strong> the relative<br />

<strong>and</strong> absolute velocities <strong>of</strong> the flow (only one half <strong>of</strong> the emergent velocity diagram is<br />

shown).<br />

The effect <strong>of</strong> friction on the fluid flowing inside the bucket will cause the relative<br />

velocity at outlet to be less than the value at inlet. Writing w 2 = kw1, where k < 1, then<br />

(9.2)<br />

An efficiency hR for the runner can be defined as the specific work done DW divided<br />

by the incoming kinetic energy, i.e.<br />

b 2

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