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Research Papers

A Model for Cylindrical Hole Film Cooling—Part I: A Correlation for Jet-Flow With Application to Film Cooling

[+] Author and Article Information
Tilman auf dem Kampe

 Siemens AG, Energy Sector, Fossil Power Generation Division, 45468 Mülheim an der Ruhr, Germanytilman.aufdemkampe@siemens.com

Stefan Völker

 Siemens AG, Energy Sector, Fossil Power Generation Division, 45468 Mülheim an der Ruhr, Germany

Frank Zehe

 Institute of Thermal Turbomachinery and Machinery Laboratory, University of Stuttgart, 70569 Stuttgart, Germany

J. Turbomach 134(6), 061010 (Sep 04, 2012) (8 pages) doi:10.1115/1.4006306 History: Received September 22, 2010; Revised July 26, 2011; Published September 04, 2012; Online September 04, 2012

This paper presents a model to predict the flow structure of cooling flows emanating from cylindrical holes. It is based on a correlation of the flow field with characteristic film cooling parameters. In a previous paper, the authors reported on the dependence of the film-jet on flow parameters, such as blowing ratio, density ratio, free stream Mach number, and turbulence intensity. The present paper extends these results by including the effect of geometry parameters, namely length-to-diameter ratio and inclination angle. All correlations are derived based on a numerical parameter study using a validated 3D-CFD model of a flat plate, scaled to engine conditions. To investigate the effects of the geometry parameters as well as their interaction with the aforementioned flow parameters, a DOE varying all parameters was performed. Results from these numerical investigations are used to correlate the flow-field in the film-jet with the underlying film cooling parameters. The focus of this paper is to demonstrate the predictive capability of the proposed correlations. It provides the basis for a model to simulate film cooling flows in 3D-CFD without meshing the cooling hole geometry, which is presented in the second part of this paper.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Trajectory and cross-sections of exiting jet-body, definition of coordinate systems

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Figure 2

Velocity contours at midplane (y = 0) for different length-to-diameter ratios (left: l/d = 4.0, right: l/d = 10.0)

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Figure 3

Contours of lateral velocity component vs and velocity vectors at film cooling hole exit for different blowing ratios (left: M = 1.1, right: M = 2.0)

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Figure 6

Jet-trajectory in x-z-plane with variation of inclination angle for CFD (points) and model prediction (solid lines)

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Figure 7

Jet-trajectory in x-z-plane with variation of length-to-diameter ratio for CFD (points) and model prediction (solid lines)

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Figure 8

Contours of velocity components for α = 30°, M = 1.1: (a) us velocity CFD, (b) us velocity model, (c) vs velocity CFD, (d) vs velocity model, (e) ws velocity CFD, and (f) ws velocity model

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Figure 9

Contours of velocity components for α = 50°, M = 1.1: (a) us velocity CFD, (b) us velocity model, (c) vs velocity CFD, (d) vs velocity model, (e) ws velocity CFD, and (f) ws velocity model

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Figure 5

Contours of coolant mass fraction at midplane (y = 0) for different inclination angles (left: α = 50 deg, right: α = 30 deg)

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Figure 4

Velocity contours at film cooling hole exit for different length-to-diameter ratios (left: l/d = 4.0, right: l/d = 10.0)

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