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RESEARCH PAPERS

Conjugate Heat Transfer Analysis of a Cooled Turbine Vane Using the V2F Turbulence Model

[+] Author and Article Information
Jiang Luo

 Solar Turbines Incorporated, A Caterpillar Company, San Diego, CA 92101jluo@solarturbines.com

Eli H. Razinsky

 Solar Turbines Incorporated, A Caterpillar Company, San Diego, CA 92101

J. Turbomach 129(4), 773-781 (Jul 24, 2006) (9 pages) doi:10.1115/1.2720483 History: Received July 13, 2006; Revised July 24, 2006

The conjugate heat transfer methodology has been employed to predict the flow and thermal properties including the metal temperature of a NASA turbine vane at three operating conditions. The turbine vane was cooled internally by air flowing through ten round pipes. The conjugate heat transfer methodology allows a simultaneous solution of aerodynamics and heat transfer in the external hot gas and the internal cooling passages and conduction within the solid metal, eliminating the need for multiple/decoupled solutions in a typical industry design process. The model of about 3 million computational meshes includes the gas path and the internal cooling channels, comprising hexa cells, and the solid metal comprising hexa and prism cells. The predicted aerodynamic loadings were found to be in close agreement with the data for all the cases. The predicted metal temperature, external, and internal heat transfer distributions at the midspan compared well with the measurement. The differences in the heat transfer rates and metal temperature under different running conditions were also captured well. The V2F turbulence model has been compared with a low-Reynolds-number k-ε model and a nonlinear quadratic k-ε model. The V2F model is found to provide the closest agreement with the data, though it still has room for improvement in predicting the boundary layer transition and turbulent heat transfer, especially on the suction side. The overall results are quite encouraging and indicate that conjugate heat transfer simulation with proper turbulence closure has the potential to become a viable tool in turbine heat transfer analysis and cooling design.

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Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The C3X vane and cooling channels’ property

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Figure 2

Computational meshes for the gas and coolant passages and the solid vane; (a) Mesh on vane surface (pressure side view); (b) midspan mesh with zoom-up near LE

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Figure 3

Simulation of a flat plate boundary layer (T3B): V2F versus data and correlations; (a) mesh for T3B case (horizontal axis: X); (b) predicted and measured skin friction coefficient; and (c) predicted and measured shape factor

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Figure 4

Predicted and measured vane surface pressure distributions at the midspan: Case 1 with the V2F, quadratic k-ε (QKE); and k-ε (KE) models

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Figure 5

Predicted and measured vane external heat transfer coefficients at the midspan: Case 1 with the V2F, quadratic k-ε, and k-ε models

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Figure 6

Predicted Nusselt number of internal cooling channels at the midspan versus Eq. 2: Case 1 with the V2F, quadratic k-ε, and k-ε models

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Figure 7

Predicted and measured vane metal temperature distribution at the midspan: Case 1 with the V2F, quadratic k-ε, and k-ε models

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Figure 8

Predicted turbulence values: viscosity ratio μt∕μ on the left and turbulence level (TL) (%) on the right at the midspan by the V2F, quadratic k-ε, and k-ε models (legends in b); (a) V2F; (b) quadratic k-ε; and (c) k-ε

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Figure 9

Predicted vane metal temperature (in K) distribution of Case 1 by the V2F model (legend in c); (a) pressure side view; (b) suction side view; and (c) midspan section

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Figure 10

Predicted and measured vane external heat transfer coefficients at the midspan: Cases 2 and 3 with V2F model

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Figure 11

Predicted and measured vane metal temperature at the midspan: all 3 cases with the V2F model

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Figure 12

Predicted Nusselt numbers of the ten cooling channels versus correlation Eq. 2 at the midspan: all three cases with the V2F model

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