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Handbook of Turbomachinery Second Edition Revised - Ventech!

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Government- and university-authored papers usually provide a greater<br />

detail about the calculation but generally for a geometry that is <strong>of</strong>ten not<br />

representative <strong>of</strong> actual components in the industry. Efforts focused on<br />

understanding turbine airfoil heat transfer have traditionally been overshadowed<br />

by the work done on the associated aerodynamics. This was not<br />

due to a lack <strong>of</strong> appreciation for heat-transfer problems, but rather the<br />

difficulty <strong>of</strong> the problem that became more prominent as the turbine inlet<br />

temperature increased.<br />

Most conceptual models for heat transfer in a modern 3D airfoil<br />

require significantly more information than is required for aerodynamic<br />

calculations. The computational grid required for the heat-transfer<br />

calculation is much finer than required for the corresponding aerodynamic<br />

calculation. This is because the temperature gradient at the airfoil wall<br />

drives the heat-flux calculation and the grid resolution in the boundary layer<br />

must be significantly finer. The boundary-layer approximation assumes a<br />

constant pressure through the boundary-layer thickness, but the temperature<br />

through the boundary-layer thickness is not constant. The codes have<br />

progressed from boundary-layer codes that have their origin in correlations<br />

<strong>of</strong> early flat-plate data, through the 2D or quasi-3D steady codes to the full<br />

3D unsteady Navier–Stokes codes.<br />

In addition to analyses <strong>of</strong> the individual cooled turbine components, it<br />

is very common that turbine cooling designers with expertise in heat transfer<br />

and fluid mechanics are also responsible for secondary flow analysis and<br />

overall engine thermal management. This includes analyses <strong>of</strong> the cooling<br />

flows and seal leakages, and temperature distribution for most <strong>of</strong> the hot<br />

section components at steady-state and transient operating conditions. The<br />

cooling designers are also expected to provide design input for transient<br />

behavior <strong>of</strong> the entire turbine structure, including interaction between the<br />

turbine rotor and stator.<br />

Metal Temperatures and Their Effect on Life <strong>of</strong> the Turbine<br />

Components<br />

In most <strong>of</strong> the cases, steady-state temperatures define the life <strong>of</strong> turbine<br />

components for the selected turbine materials. An exception is the low cycle<br />

fatigue life, which is defined by transient temperature gradients.<br />

A cooling designer starts by either being given or assuming certain<br />

component life requirements based on oxidation/corrosion/erosion, creeprupture,<br />

and thermal (low cycle) fatigue, which dictate acceptable metal<br />

temperature limits. For each component these life and temperature<br />

requirements must be met under given duty cycle conditions. Life <strong>of</strong><br />

combustor liners, for example, and, in most <strong>of</strong> the cases, that <strong>of</strong> stage one<br />

Copyright © 2003 Marcel Dekker, Inc.

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