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Handbook of Turbomachinery Second Edition Revised - Ventech!

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e predicted in advance. Total pressure probes and hot-wire anemometers<br />

having very fast time responses overcome this difficulty and thus are<br />

invaluable diagnostic tools. Laser anemometry is frequently used for this<br />

purpose also.<br />

O’Brien and Boyer [42] discusses some <strong>of</strong> the equipment and<br />

procedures that have been used to examine the internal behavior <strong>of</strong> the<br />

gas flow. Procedures used in other diagnostic tests and the results obtained<br />

are described in O’Brien and Boyer [42], Ostdiek et al. [43], Budinger and<br />

Thomson [44], and Budinger [45]. Chapters XI and XII <strong>of</strong> Ref. [1] provide<br />

additional information. More information and additional references are<br />

given in Lakshminarayana [2] and Serovy [3]. The examples cited describe<br />

good diagnostic test procedures.<br />

When there is a problem <strong>of</strong> locating the stages responsible for stall and<br />

surge, one may be guided by an analysis <strong>of</strong> the overall performance data.<br />

The variation <strong>of</strong> the ratio ðW ffiffiffiffi p pffiffiffiffi T=PÞ=½U=ðN<br />

TÞŠ<br />

with rotating speed<br />

provides a measure <strong>of</strong> how the relative inlet air angles <strong>of</strong> the initial blade<br />

rows change with speed. This ratio is proportional to the flow coefficient,<br />

Vz;1=U. When it is divided by the quantity ðP2=P1Þ=ðT2=T1Þ, one obtains a<br />

corresponding measure <strong>of</strong> Vz;2=U and the relative air angles in the final<br />

blade rows. Selecting approximate values <strong>of</strong> P and T for the divisor enables<br />

one to appraise the situation at intermediate stages. An example for air is<br />

given by Table 3. (The numbers in the first two columns indicate the percent<br />

<strong>of</strong> design value, while those in the last two columns are proportional to the<br />

actual values.)<br />

The low and nearly identical values under Vz;1=U at the two lowest<br />

rotor speeds are an indication that the initial stages were stalling and were<br />

responsible for the incidence <strong>of</strong> surge at these speeds. The same type <strong>of</strong><br />

Table 3<br />

Stages<br />

Effect <strong>of</strong> Speed on Value <strong>of</strong> Flow Coefficients, at Stall, <strong>of</strong> First and Last<br />

N W ffiffiffiffi p<br />

T=P<br />

P2=P1 T2=T1 Vz;1=U Vz;2=U<br />

0.5 8.7 1.8 1.26 17.4 12.2<br />

0.6 10.8 2.5 1.40 17.2 10.1<br />

0.7 13.5 3.5 1.57 19.3 8.7<br />

0.75 15.0 4.05 1.66 20.0 8.2<br />

0.8 18.0 5.0 1.74 22.5 7.9<br />

0.9 25.4 7.6 1.98 28.2 7.4<br />

1.0 33.6 9.8 2.10 33.6 7.1<br />

Copyright © 2003 Marcel Dekker, Inc.

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