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Handbook of Turbomachinery Second Edition Revised - Ventech!

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Figure 12 Smith’s chart for stage zero-clearance total-to-total efficiency as<br />

function <strong>of</strong> mean-radius flow and loading coefficient. (Replotted from Ref. 11<br />

with permission <strong>of</strong> the Royal Aeronautical Society).<br />

measured efficiency for 70 turbines. All the turbines have a constant axial<br />

velocity across the stage, zero incidence at design point, and reactions<br />

ranging from 20% to 60%. Reynolds number for the turbines range from<br />

100,000 to 300,000. Aspect ratio (blade height to axial chord) for the tested<br />

turbines is in the range <strong>of</strong> 3–4. Smith’s chart does not account for the effects<br />

<strong>of</strong> blade aspect ratio, Mach number effects, or trailing-edge thickness<br />

variations. The data have been corrected to reflect zero tip clearance, so the<br />

efficiencies must be adjusted for the tip clearance loss <strong>of</strong> the application.<br />

Sieverding [10] considers Soderberg’s correlation to be outdated but<br />

still useful in preliminary design stages due to its simplicity. In Soderberg’s<br />

[12] correlation, blade-row kinetic energy losses are calculated from<br />

ðVoÞ 2<br />

ideal<br />

V2 o<br />

V2 o<br />

¼ x<br />

¼ 105<br />

Rth<br />

Copyright © 2003 Marcel Dekker, Inc.<br />

1=4<br />

ð1 þ xrefÞ 0:975 þ 0:075 cx<br />

n h io<br />

1<br />

h<br />

ð52Þ

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