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RESEARCH PAPERS

Three-Dimensional Numerical Analysis of Curved Transpiration Cooled Plates and Homogenization of Their Aerothermal Properties

[+] Author and Article Information
Gottfried Laschet

 ACCESS e.V., Intzestrasse 5, D-52072 Aachen, Germanyg.laschet@access.rwth-aachen.de

Stephan Rex

 ACCESS e.V., Intzestrasse 5, D-52072 Aachen, Germany

Dieter Bohn, Robert Krewinkel

Institute of Steam and Gas Turbines, Aachen University of Technology, D-52056 Aachen, Germany

J. Turbomach 129(4), 791-799 (Sep 05, 2006) (9 pages) doi:10.1115/1.2720867 History: Received July 19, 2006; Revised September 05, 2006

Three different designs of a transpiration cooled multilayer plate—plane, convex, and concave—are analyzed numerically by application of a 3D conjugate fluid flow and heat transfer solver. The geometrical setup and the fluid flow conditions are derived from modern gas turbine components. The conjugate analysis of these designs focus on the influence of the surface curvature, the cooling film development on the plate surface, the fluid structure in the cooling channels, and on the cooling efficiency of the plate. Moreover, to predict the effective thermal properties and the permeability of these multilayer plates, a multiscale approach based on the homogenization technique is employed. This method allows the calculation of effective equivalent properties either for each layer or for the multilayer of superalloy, bondcoat, and thermal barrier coating (TBC). Permeabilities of the different designs are presented in detail for the TBC layer. The influence of the plate curvature and the blowing ratio on the effective orthotropic thermal conductivities is finally outlined.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 2

Geometry of the convex multilayer plate

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Figure 3

Boundary conditions

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Figure 4

Temperature distribution and secondary flow in a cutting plane perpendicular to the outlet surfaces

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Figure 5

Temperature distribution and secondary flow in the cooling hole

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Figure 1

Definition of a unit cell of periodicity Y1,Y2,Y3 for the transpiration cooled multilayer plate

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Figure 6

Cooling efficiency on the plate surface near the fourth hole

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Figure 7

Velocity profiles on the convex plate due to a negative unit pressure gradient, respectively, in x, y, and z directions

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Figure 8

Velocity profiles in the midplane section of the central hole of the concave unit cell due to a negative unit pressure gradient respectively in x and z directions

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Figure 9

Microscopic displacements χz of the multilayer homogenization for the flat (a), convex (b), and concave (c) designs of the larger unit cell of Fig. 1

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Figure 10

Mono- and multilayer effective thermal conductivities as function of the mean material temperature for the test cases: (a) flat, 0.48M; (b) convex, 0.48M; (c) flat, 0.28M; (d) convex, 0.28M; (e) concave, 0.28M with ⊗:kxhom, Δ:kzhom, ◇:kyhom and (f) convex, 0.11M

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