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Handbook of Turbomachinery Second Edition Revised - Ventech!

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pressure ratio [15]. It can be calculated directly from stage pressure and<br />

temperature measurements:<br />

Z ¼<br />

1<br />

TR 1<br />

Pðg 1Þ=g<br />

R<br />

Likewise, for uncooled turbine stages, the efficiency is defined as the ratio <strong>of</strong><br />

actual work to the ideal work at a given pressure ratio:<br />

Z ¼<br />

1 TR<br />

ðg 1Þ=g<br />

1 PR Local Mach Number. Local flow Mach numbers can be calculated at any<br />

position in the flow path where the total and static pressures and<br />

temperatures are known. This can be done using the isentropic flow<br />

relations:<br />

sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi<br />

2<br />

h i<br />

1Þ=g<br />

M ¼ Pðg<br />

R 1<br />

g 1<br />

The specific heat ratio is a function <strong>of</strong> temperature.<br />

Data Presentation<br />

Performance Maps<br />

The customary method <strong>of</strong> presentation for turbomachine stage performance<br />

characteristics are the maps described in the first section. Two sets <strong>of</strong> data<br />

are normally presented, which completely describe the stage aerodynamic<br />

performance. These include a family <strong>of</strong> corrected constant-speed lines with<br />

stagnation pressure and temperature ratios plotted as a function <strong>of</strong><br />

corrected flows. Stage adiabatic efficiency is calculated as a function <strong>of</strong><br />

measured pressure and temperature ratios or from torque meter measurements.<br />

Stall Margin Definitions<br />

A measure <strong>of</strong> great interest to turbomachine designers is the fan and<br />

compressor stall margin. It is a measure <strong>of</strong> performance margin between a<br />

stage operating point and the stall line. Often, stage performance<br />

specifications will include a stall margin requirement. There are at least<br />

two well-accepted definitions for stall margin, constant-speed line stall<br />

margin and constant-flow stall margin.<br />

Copyright © 2003 Marcel Dekker, Inc.

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