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TECHNICAL PAPERS

Perspectives in Modeling Film Cooling of Turbine Blades by Transcending Conventional Two-Equation Turbulence Models

[+] Author and Article Information
A. Azzi

Faculty of Mechanical Engineering, University of Oran, USTO, Oran 31000, Algeria

D. Lakehal

Institute of Energy Technology, Swiss Federal Institute of Technology Zurich, ETH-Zentrum/CLT, CH-8092, Zurich, Switzerland

J. Turbomach 124(3), 472-484 (Jul 10, 2002) (13 pages) doi:10.1115/1.1485294 History: Received September 01, 2001; Revised April 15, 2002; Online July 10, 2002
Copyright © 2002 by ASME
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References

Lakehal,  D., Theodoridis,  G., and Rodi,  W., 2001, “Three Dimensional Flow and Heat Transfer Calculations of Film Cooling at the Leading Edge of a Symmetrical Turbine Blade Mode,” Int. J. Heat Fluid Flow, 22, pp. 113–122.
Ferguson, D. J., Walters, K. D., and Leylek, J. H., 1998, “Performance of Turbulence Models and Near-Wall Treatments in Discrete Jet Film Cooling Simulations,” ASME paper No 98-GT-438.
Garg,  V. K., and Ameri,  A. A., 1997, “Comparison of Two-Equation Turbulence Models for Prediction of Heat Transfer on Film-Cooled Turbine Blades,” Numer. Heat Transfer, Part A, 31, pp. 347–371.
Hoda,  A., and Acharya,  S., 2000, “Predictions of a Film Cooling Jet in Crossflow with Different Turbulence Models,” ASME J. Turbomach., 122, pp. 558–569.
Lakehal,  D., Theodoridis,  G., and Rodi,  W., 1998, “Computation of Film Cooling of a Flat Plate by Lateral Injection from a Row of Holes,” Int. J. Heat Fluid Flow, 19, pp. 418–430.
Theodoridis,  G., Lakehal,  D., and Rodi,  W., 2001, “3D Calculations of the Flow Field Around a Turbine Blade with Film Cooling Injection Near the Leading Edge,” Flow, Turbul. Combust., 66, pp. 57–83.
Rodi, W., 1991, “Experience with Two-Layer Models Combining the k−ε Model with a One-Equation Model Near the Wall,” AIAA J., Paper No. 91-0216.
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Sinha,  A. K., Bogard,  D. G., and Crawford,  M. E., 1991, “Gas Turbine Film Cooling: Flowfield due to a Second Row of Holes,” ASME J. Turbomach., 113, pp. 450–456.
Pietrzyk,  J. R., Bogard,  D. G., and Crawford,  M. E., 1990, “Effect of Density Ratio on the Hydrodynamics of Film Cooling,” ASME J. Turbomach., 113, pp. 442–449.
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Figures

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Normalized profiles in developed channel flow at Reτ=211; (left) turbulent kinetic energy k+; (right) dissipation rate ε+
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Analytical correlation versus DNS data for near-wall turbulence anisotropy; (left) w′2/v′2, (right) v′2/k=f(Ry,y+)
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Normalized profiles in developed channel flow at Reτ=211; (left) turbulent kinetic energy k+; (right) shear stress uv+
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Normalized rms-velocity profiles in developed channel flow at Reτ=211; Results obtained with various turbulence models
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Details of the computational grid near the injection hole
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Contours of wall film-cooling effectiveness for (upper) M=0.5 and (lower) M=1.0. Calculations with various turbulence models.
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Streamlines at the midplane (Z/D=0) for M=0.5 and 1.0. Calculations with the TLV and TLVA models.
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Formation of the secondary vortices at cross-flow location X/D=4. Calculations with various turbulence models for M=0.5.
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Near-injection turbulence intensity Tu contours (normalized by U) in the vertical plane (Z/D=0). Calculations with various turbulence models and M=0.5. Experimental data (lowest panel) of Pietrzyk et al. 12.
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Near-injection uv shear-stress contours (normalized by U2) in the vertical plane (Z/D=0). Calculations with various turbulence models and M=0.5. Experimental data (lowest panel) of Pietrzyk et al. 12.
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Comparison of η at the centerline (upper two panels) and the laterally averaged film-cooling effectiveness 〈η〉 (lower panels)
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Distributions of the spanwise film-cooling effectiveness for M=0.5 at four cross-flow locations
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Distributions of the spanwise film-cooling effectiveness for M=1.0 at two cross-flow locations

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