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Handbook of Turbomachinery Second Edition Revised - Ventech!

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NONUNIFORM INLET FLOW<br />

All gas turbines operate with a combustor that supplies the energy to the<br />

flow through the addition <strong>of</strong> the enthalpy (heat) <strong>of</strong> combustion. Because<br />

combustor space and weight generally must be kept to a minimum, designs<br />

tend to have features that present a more or less nonuniform flow to the<br />

turbine, i.e., hot and cold streaks relative to the average flow temperature. In<br />

addition, cooling gas may be introduced through the combustor and vane<br />

walls to protect them from the hottest gases. Inertia forces separate this<br />

mixture <strong>of</strong> hotter and cooler flow as it is accelerated and turned through the<br />

vanes and blades. This process sets up secondary flows in the blade passages;<br />

that is, gas movement not directly aligned with the center <strong>of</strong> the passage<br />

because <strong>of</strong> the density differences between the hot and cold flows. This is<br />

<strong>of</strong>ten called the Kerrebrock–Mikolaczak effect after a study by these<br />

authors <strong>of</strong> similar phenomena in compressor inlets [47].<br />

One <strong>of</strong> the first experimental studies <strong>of</strong> nonuniform inlet flow effects<br />

was by Roback and Dring [48]. These authors used a large-scale rotating rig<br />

(Fig. 21), with amixture <strong>of</strong> air and carbon dioxide to simulate the density<br />

difference between typical hot and cold flows. They found that the<br />

‘‘rectification’’ process, as they define it, caused hot gas to accumulate on<br />

the pressure sides <strong>of</strong> rotating blades (an <strong>of</strong>ten-observed phenomenon<br />

revealed by higher rates <strong>of</strong> heat transfer on the pressure sides) and cold gas<br />

to accumulate on the suction sides. In cooled turbines, stator coolant<br />

injected upstream can add to the accumulating flow on the rotor suction<br />

side. Other parts <strong>of</strong> the rectification process observed defined the effect <strong>of</strong><br />

the ratios <strong>of</strong> temperature (density) between the hot and cold streaks in radial<br />

movement toward the tips and end walls.<br />

FREE-STREAM TURBULENCE<br />

Free-stream turbulence (FST) is known to have very significant effects on<br />

transition and separation, and therefore on heat transfer. This may be above<br />

and beyond the FST effect on the magnitude <strong>of</strong> the heat transfer in a<br />

boundary that has not yet separated. Some <strong>of</strong> the first work on FST effects<br />

is that <strong>of</strong> Kestin et al. [49], which was followed by several others and<br />

continues today. Figure 22, from [50], demonstrates the sensitivity <strong>of</strong> airfoil<br />

heat transfer to lower levels <strong>of</strong> FST. Many more recent studies have been<br />

done with higher levels <strong>of</strong> FST that are expected to exist at the combustor<br />

outlet. A good summary <strong>of</strong> the earlier work is found in Thole and Bogard<br />

[51], where a correlation is presented, given in Fig. 23, based on data<br />

provided from Hancock and Bradshaw [52] and others. The correlation<br />

Copyright © 2003 Marcel Dekker, Inc.

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