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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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1. Reduce the effect <strong>of</strong> main-stream temperature dilution by utilizing<br />

the maximum potential <strong>of</strong> internal cooling and discharging the<br />

spent air at temperature that is close to the allowable metal<br />

temperature.<br />

2. Minimize pressure drop in the internal cooling passages <strong>of</strong> the<br />

airfoil to enable discharge <strong>of</strong> the spent cooling air on the pressure<br />

side <strong>of</strong> the airfoil upstream <strong>of</strong> the throat or through the trailing<br />

edge at a velocity that matches the main-stream velocity. This<br />

results in reduced aerodynamic losses and improved turbine<br />

performance.<br />

These design rules are <strong>of</strong>ten compromised when the internal cooling is<br />

applied for the leading edge, which is usually the highest thermally loaded<br />

part <strong>of</strong> an airfoil. Internal cooling <strong>of</strong> the blade leading edges is <strong>of</strong>ten<br />

preferred for modestly high inlet temperatures due to their lower<br />

manufacturing cost and elimination <strong>of</strong> stress concentration versus film<br />

cooling. More effective internal cooling techniques based on impingement<br />

or swirl cooling are required for this region <strong>of</strong> the airfoil. These techniques<br />

typically require a larger pressure drop <strong>of</strong> the cooling air and air has to be<br />

discharged in less favorable locations for aerodynamic penalties—on the<br />

suction side or at the trailing edge <strong>of</strong> the airfoil at a velocity lower than the<br />

main stream.<br />

Somewhat limited information can be found in the open literature<br />

concerning the effect <strong>of</strong> film cooling on aerodynamic losses, particularly for<br />

the typical turbine airfoil flow that is characterized by large pressure<br />

gradients and multiple rows <strong>of</strong> film injection. Figures 5and 6present a<br />

summary data [8, 9] obtained for typical cooling flows and penalties<br />

associated with different locations <strong>of</strong> cooling discharge along a nozzle vane<br />

and a turbine blade. These data clearly illustrate a relatively small impact <strong>of</strong><br />

the air discharged at low main-stream Mach number locations like<br />

stagnation point or a significant portion <strong>of</strong> the pressure side. However, a<br />

very strong adverse effect can be observed at high main-stream Mach<br />

number locations such as the suction side, particularly closer to the throat <strong>of</strong><br />

the passage.<br />

An analytical treatment for the mixing loss due to film blowing, based<br />

on the hypothesis that the injected coolant mixes with the main-stream flow<br />

rather than remaining entrained in the boundary layer, is recommended by<br />

Hartsel [10], providing the following simplified one-dimensional total<br />

pressure loss equation:<br />

Where<br />

DP=P? ¼ gmc=m?Ma 2 =2ð1 þ Tc=T? 2Vc=V? cos aÞ<br />

Copyright © 2003 Marcel Dekker, Inc.

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