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Handbook of Turbomachinery Second Edition Revised - Ventech!

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thereby increasing both the skin-friction and heat-transfer coefficients. The<br />

application <strong>of</strong> a layer <strong>of</strong> thermal barrier coating also results in thicker<br />

trailing edges, with associated aerodynamic penalties. At given internal heattransfer<br />

coefficient and temperature <strong>of</strong> the coolant, the temperature gradient<br />

across the thickness <strong>of</strong> the coating is driven primarily by the gas temperature<br />

and external heat-transfer coefficient. The greatest benefit from application<br />

<strong>of</strong> TBC or the highest temperature gradient through the coating can be<br />

gained in the environment where the large temperature difference between<br />

hot gas and cooling air is combined with high heat-transfer coefficients on<br />

both sides. This environment exists <strong>of</strong>ten in certain areas <strong>of</strong> airfoils, end<br />

walls, and combustor liners that are cooled by backside convection. The<br />

greatest concern affecting the use <strong>of</strong> thermal barrier coatings is their life,<br />

caused by their brittleness and flaking due to differential thermal expansion<br />

relative to the airfoil base material. Recent advancements in materials for<br />

TBC and improved coating application techniques have provided significant<br />

extension <strong>of</strong> their life. This allows a lesser conservatism in life prediction for<br />

coated nozzles and blades, including thermal resistance <strong>of</strong> the coating in the<br />

component temperature analysis. Selection <strong>of</strong> the coating thickness for<br />

blades should also consider the fact that coating strength is very low relative<br />

to the base alloy causing increased inertial (centrifugal) stresses in the blade<br />

material. Design <strong>of</strong> airfoils with thermal barrier coatings must obviously<br />

weigh all <strong>of</strong> these factors.<br />

Airfoil Cooling Development Process<br />

Figure 7presents atypical development process for airfoil cooling. The<br />

starting point for the airfoil cooling system design specifies the component<br />

life requirements, which dictate an acceptable metal temperature limit.<br />

Local metal temperature <strong>of</strong> the airfoil is driven mainly by a combination <strong>of</strong><br />

three factors:<br />

1. External heat load to the surface from the main-stream gas by<br />

convection through a boundary layer or through a film cooling<br />

layer (when cooling air is discharged through the film holes)<br />

2. Internal convective cooling <strong>of</strong> the part by cooling air<br />

3. Thermal conduction and heat sink within the component<br />

A preliminary turbine aerodynamic design provides the airfoil geometry,<br />

estimates cooling air flows, and specifies pressures, temperatures, and<br />

velocities <strong>of</strong> the main-stream flow. Previous experience is essential for<br />

correct assumptions in the analysis and cooling concept selection.<br />

Recent advancements in computer-based analytical methods, and<br />

particularly in computer graphics, provide sophisticated tools for con-<br />

Copyright © 2003 Marcel Dekker, Inc.

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