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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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After four decades <strong>of</strong> advancement in numerical analysis and<br />

turbomachinery studies, the state-<strong>of</strong>-the-art analytical techniques are still<br />

limited in providing an accurate life prediction for the components.<br />

Therefore, experimental calibration and verification <strong>of</strong> the analysis are<br />

playing a major role in the development cycle. Experimental validation <strong>of</strong><br />

the analysis is performed after a design team is satisfied with the concept and<br />

analytical prediction. The section on combustor cooling describes major<br />

elements <strong>of</strong> experimental validation.<br />

DEFINITION OF MAJOR HEAT- AND MASS TRANSFER<br />

SIMILARITY PARAMETERS<br />

Three distinct heat-transfer phenomena should be considered when turbine<br />

components are analyzed:<br />

1. Heat transfer by conduction<br />

2. Heat transfer by convection<br />

3. Heat transfer by radiation<br />

Radiative heat transfer is <strong>of</strong>ten important in the analytical prediction <strong>of</strong><br />

combustor liner and stage 1 nozzle vanes facing a combustor liner. Typical<br />

so-called conjugate heat transfer in a turbine component, for example, a<br />

cooled turbine vane, involves a combination <strong>of</strong> convective external heat<br />

transfer from the hot gas to the vanes, conduction through the wall <strong>of</strong> the<br />

hollow vane, convective internal heat transfer from the vane to the cooling<br />

air, and possible flame radiation as well as radiative heat transfer from<br />

higher-temperature walls <strong>of</strong> the liner.<br />

Heat–Mass Transfer Interaction in the Airfoil Boundary Layer<br />

The transfer <strong>of</strong> heat in a fluid can occur through conduction as well as<br />

advection through the movement <strong>of</strong> the fluid (it is customary to use term<br />

‘‘convection’’ when referring to cumulative transport by random motion <strong>of</strong><br />

molecules and the term ‘‘advection’’ when referring to transport due to bulk<br />

fluid motion). The overall heat transfer combining advection and conduction<br />

in a moving media is usually referred to as convective heat transfer. The<br />

heat and mass transfer defining the temperature and velocity field are closely<br />

coupled and interact, strongly affecting each other. Forced convection plays<br />

the dominant role for most <strong>of</strong> the turbine components compared to natural<br />

convection. The critical elements in the external heat transfer from the hot<br />

gas to the wall <strong>of</strong> a blade are the boundary layer developing on the surface<br />

and the free-stream total temperature. The boundary layers, which act as a<br />

Copyright © 2003 Marcel Dekker, Inc.

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