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Handbook of Turbomachinery Second Edition Revised - Ventech!

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Observe that each <strong>of</strong> the curves for constant N= ffiffiffiffi p<br />

y1 is terminated on<br />

the left by another curve known as the surge line. Attempts to operate to the<br />

left <strong>of</strong> this line produce effects ranging from pulsating flow to a complete<br />

deterioration <strong>of</strong> pressure ratio and efficiency. Prolonged operation here can<br />

be disastrous. At lower corrected speeds, an unsteady flow known as<br />

rotating stall is encountered in the region indicated by the dashed lines.<br />

Operating here has caused blades and vanes to vibrate and fail.<br />

Note that the corrected weight flow generally increases with corrected<br />

speed, but the rate <strong>of</strong> change diminishes at the higher speeds. This could<br />

invite trouble if proper attention is not paid to this trend at the beginning <strong>of</strong><br />

the design.<br />

Compressor Adiabatic Efficiency, Z ad<br />

This is another parameter <strong>of</strong> Fig. 5, and it is defined in the section on<br />

symbols. Note that this quantity is equal to the ratio <strong>of</strong> the ideal energy (that<br />

<strong>of</strong> an isentropic process) required to produce the given pressure ratio to the<br />

energy actually needed. Other definitions <strong>of</strong> efficiency are sometimes used.<br />

Two <strong>of</strong> these are<br />

1. Polytropic efficiency, Z p, which is the average efficiency that each<br />

small increment <strong>of</strong> pressure rise must experience in order to achieve the<br />

observed overall adiabatic efficiency. It is <strong>of</strong>ten used in Great Britain.<br />

2. Compression efficiency, Z*. Reference to Symbols shows that the<br />

denominator for this efficiency is the same as that for Z ad, but the ideal<br />

energy is that which could be recovered if the gas at the compressor outlet<br />

were expanded isentropically to the total pressure at the compressor inlet.<br />

This definition has some theoretical and some empirical merits that are<br />

noted later.<br />

For general information, an idea <strong>of</strong> the relative values <strong>of</strong> these efficiencies is<br />

provided by Table 1, using the ideal thermodynamic properties <strong>of</strong> air. It is<br />

clear that any cited efficiency should be defined. One should be mindful that<br />

Reynolds number, based on some characteristic dimension, is also an<br />

important operating variable—the useful operating range, pressure ratio,<br />

and efficiency deteriorate when Reynolds number becomes too small.<br />

Wassel [4] and Bullock [5] discuss this subject, which is important when<br />

compressors are small or when they operate with low-density gases such as<br />

air at high altitudes.<br />

It is also important to realize that an effort was made to supply<br />

uniform flow to the compressor while the data for the map were being<br />

generated. The useful range <strong>of</strong> mass flow rate, the pressure ratio, and the<br />

efficiency deteriorate when the entering flow is nonuniform or distorted.<br />

Copyright © 2003 Marcel Dekker, Inc.

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