0
Research Papers

Film Cooling Modeling of Turbine Blades Using Algebraic Anisotropic Turbulence Models

[+] Author and Article Information
Xueying Li

Department of Thermal Engineering,
Tsinghua University,
Beijing 100084, China
e-mail: lixueying@mail.tsinghua.edu.cn

Jing Ren, Hongde Jiang

Department of Thermal Engineering,
Tsinghua University,
Beijing 100084, China

1Corresponding author.

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received July 14, 2014; final manuscript received July 20, 2014; published online August 26, 2014. Editor: Ronald Bunker.

J. Turbomach 136(11), 111006 (Aug 26, 2014) (9 pages) Paper No: TURBO-14-1140; doi: 10.1115/1.4028174 History: Received July 14, 2014; Revised July 20, 2014

The complex structures in the flow field of gas turbine film cooling increase the anisotropy of turbulence making it difficult to accurately compute turbulent eddy viscosity and scalar diffusivity. An algebraic anisotropic turbulence model is developed while aiming at a more accurate modeling of the Reynolds stress and turbulent scalar-flux. In this study, the algebraic anisotropic model is validated by two in-house experiments. One is a leading edge with showerhead film cooling and the other is a vane with full coverage film cooling. Adiabatic film cooling effectiveness under different blowing ratios, density ratios, and film cooling arrangements were measured using pressure sensitive paint (PSP) technique. Four different turbulence models are tested and detailed analyses of computational simulations are performed. Among all the turbulence models investigated, the algebraic anisotropic model shows better agreement with the experimental data qualitatively and quantitatively. The algebraic anisotropic model gives a good prediction of the vortex strength and turbulence mixing of the jet, therefore improves the prediction of the scalar field.

Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

Haven, B. A., Yamagata, D. K., Kurosaka, M., Yamawaki, S., and Maya, T., 1997, “Anti-Kidney Pair of Vortices in Shaped Holes and Their Influence on Film Cooling Effectiveness,” IGTI Turbo Expo, Orlando, FL, June 2–5, ASME Paper No. 97-GT-45.
Peterson, S. D., and Plesniak, M. W., 2004, “Evolution of Jets Emanating From Short Holes Into Crossflow,” J. Fluid Mech., 503, pp. 57–91. [CrossRef]
Jessen, W., Schröder, W., and Klaas, M., 2007, “Evolution of Jets Effusing From Inclined Holes Into Crossflow,” Int. J. Heat Fluid Flow, 28(6), pp. 1312–1326. [CrossRef]
Jovanovic, M. B., de Lange, H. C., and van Steenhoven, A. A., 2006, “Influence of Hole Imperfection on Jet Cross Flow Interaction,” Int. J. Heat Fluid Flow, 27(1), pp. 42–53. [CrossRef]
Bernsdorf, S., Rose, M. G., and Abhari, R. S., 2006, “Modeling of Film Cooling—Part I: Experimental Study of Flow Structure,” ASME J. Turbomach., 128(1), pp. 141–149. [CrossRef]
Bernsdorf, S., Rose, M. G., and Abhari, R. S., 2008, “Experimental Validation of Quasisteady Assumption in Modelling of Unsteady Film-Cooling,” ASME J. Turbomach., 130(1), p. 011022. [CrossRef]
Aga, V., Rose, M., and Abhari, R. S., 2008, “Experimental Flow Structure Investigation of Compound Angled Film Cooling,” ASME J. Turbomach., 130(3), p. 031005. [CrossRef]
Wright, L. M., McClain, S. T., and Clemenson, M. D., 2011, “Effect of Freestream Turbulence Intensity on Film Cooling Jet Structure and Surface Effectiveness Using PIV and PSP,” ASME J. Turbomach., 133(4), p. 041023. [CrossRef]
McLachlan, B. G., and Bell, J. H., 1995, “Pressure-Sensitive Paint in Aerodynamic Testing,” Exp. Therm. Fluid Sci., 10(4), pp. 470–485. [CrossRef]
Zhang, L., and Fox, M., 1999, “Flat Plate Film-Cooling Measurements Using PSP Gas Chromatograph Techniques,” 5th ASME/JSME Joint Thermal Engineering Conference, San Diego, CA, March 14–19.
Wright, L. M., Gao, Z., Varvel, T. A., and Han, J. C., 2005, “Assessment of Steady State PSP, TSP, and IR Measurement Techniques for Flat Plate Film Cooling,” ASME Paper No. HT2005–72363. [CrossRef]
Gao, Z., 2007, “Experimental Investigation of Film Cooling Effectiveness on Gas Turbine Blades,” Ph. D. thesis, Texas A&M University, College Station, TX, p. 167.
Fric, T. F., and Roshko, A., 1994, “Vortical Structure in the Wake of a Transverse Jet,” J. Fluid Mech., 279, pp. 1–47. [CrossRef]
Perry, A. E., Kelso, R. M., and Lim, T. T., 1993, “Topological Structure of a Jet in a Cross Flow,” AGARD Symposium on Computational and Experimental Assessment of Jets in Cross Flow (AGARD-CP-534), Winchester, UK, April 19–22, pp. 12–13.
Hassan, J. S., and Yavuzkurt, S., 2006, “Comparison of Four Different Two-Equation Models of Turbulence in Predicting Film Cooling Performance,” ASME Paper No. GT2006-90860. [CrossRef]
Bamba, T., Yamane, T., and Fukuyama, Y., 2007, “Turbulence Model Dependencies on Conjugate Simulation of Flow and Heat Conduction,” ASME Paper No. GT2007-27824. [CrossRef]
Bacci, A., and Facchini, B., 2007, “Turbulence Modeling for the Numerical Simulation of Film and Effusion Cooling Flows,” ASME Paper No. GT2007-27182. [CrossRef]
Harrison, K. L., and Bogard, D. G., 2008, “Comparison of RANS Turbulence Models for Prediction of Film Cooling Performance,” ASME Paper No. GT2008-51423. [CrossRef]
Voigt, S., Noll, B., and Aigner, M., 2010, “Aerodynamic Comparison and Validationi of RANS, URANS and SAS Simulations of Flat Plate Film-Cooling,” ASME Paper No. GT2010-22475. [CrossRef]
Oguntade, H. I., Andrews, G. E., and Burns, A., 2010, “CFD Predictions of Single Row Film Cooling With Inclined Holes: Influence of Hole Outlet Geometry,” ASME Paper No. GT2010-22308. [CrossRef]
Bianchini, C., Facchini, B., and Mangani, L., 2010, “Heat Transfer Performances of Fan-Shaped Film Cooling Holes Part Ii - Numerical Analysis,” ASME Paper No. GT2010-22809. [CrossRef]
Hoda, A., and Acharya, S., 2000, “Predictions of a Film Cooling Jet in Cross-flow With Different Turbulence Models,” ASME J. Turbomach., 122(3), pp. 558–569. [CrossRef]
York, W. D., and Leylek, J. H., 1999, “Numerical Prediction of Mainstream Pressure Gradient Effects in Film Cooling,” ASME Paper No. 99-GT-166.
Schmidt, D. L., and Bogard, D. G., 1995, “Pressure Gradient Effects on Film Cooling,” ASME Paper No. 95-GT-18.
Kebede, W., 1982, “Numerical Study of the Self-Preserving Three-Dimensional Wall-Jet,” M.Sc dissertation, Faculty of Technology, University of Manchester, Manchester, UK.
Voigt, S., Noll, B., and Aigner, M., 2010, “Aerodynamic Comparison and Validation of RANS, URANS and SAS Simulations of Flat Plate Film-Cooling,” ASME Paper No. GT2010–22475. [CrossRef]
Hassan, J. S., and Yavuzkurt, S., 2006, “Comparison of Four Different Two-Equation Models of Turbulence in Predicting Film Cooling Performance,” ASME Paper No. GT2006–90860. [CrossRef]
Kusterer, K., Bohn, D., Elyas, A., Sugimoto, T., Tanaka, R., and Kazari, M., 2011, “The NEKOMIMI Cooling Technology: Cooling Holes With Ears for High-Efficient Film Cooling,” ASME Paper No. GT2011-45524. [CrossRef]
Sreedharan, S. S., and Tafti, D. K., 2009, “Effect of Blowing Ratio in the Near Stagnation Region of a Three-Row Leading Edge Film Cooling Geometry Using Large Eddy Simulations,” ASME Paper No. GT2009-59325. [CrossRef]
Ledezma, G. A., Laskowski, G. M., and Dees, J. E., 2011, “Overall and Adiabatic Effectiveness Values on a Scaled Up Simulated Gas Turbine Vane: Part 2—Numerical Simulations,” ASME Paper No. GT2011–46616. [CrossRef]
Ligrani, P. M., Joseph, S. L., Ortiz, A., and Evans, D. L., 1988, “Heat Transfer in Film-Cooled Turbulent Boundary Layers at Different Blowing Ratios as Affected by Longitudinal Vortices,” Exp. Thermal Fluid Sci., 1(4), pp. 347–362. [CrossRef]
Durbin, P., 1993, “A Reynolds-Stress Model for Near-Wall Turbulence,” J. Fluid Mech., 249, pp. 465–498. [CrossRef]
Jones, R., Acharya, S., and Harvey, A., 2005, “Improved Turbulence Modeling of Film Cooling Flow and Heat Transfer Over Turbine Blades,” Modeling and Simulation of Turbulent Heat Transfer, WIT Press, Ashurst, UK, pp. 113–146.
Khritov, K. M., Lyubimov, D. A., and Maslov., V. P., 2002, “Three-Dimensional Wall Jets: Experiment, Theory and Application,” AIAA Paper No. 2002-0732. [CrossRef]
Bergeles, G., Gosman, A. D., and Launder, B. E., 1978, “The Turbulent Jet in a Cross Stream at Low Injection Rates: A Three-Dimensional Numerical Treatment,” Numer. Heat Transfer, 1(2), pp. 217–242. [CrossRef]
Azzi, A., and Lakehal, D., 2002, “Perspectives in Modeling Film Cooling of Turbine Blades by Transcending Conventional Two-Equation Turbulence Models,” ASME J. Turbomach., 124(3), pp. 472–484. [CrossRef]
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(1), pp. 57–83. [CrossRef]
Lakehal, D., 2002, “Near-Wall Modeling of Turbulent Convective Heat Transport in Film Cooling of Turbine Blades With the Aid of Direct Numerical Simulation Data,” ASME J. Turbomach., 124(3), pp. 485–498. [CrossRef]
Rodi, W., 1991, “Experience With Two-Layer Models Combining the k-ε Model With a One-Equation Model Near the Wall,” AIAA Paper No. 91–0216. [CrossRef]
Li, X., Ren, J., and Jiang, H., 2011, “Algebraic Anisotropic Eddy-Viscosity Modeling Application to the Turbulent Film Cooling Flows,” ASME Paper No. GT2011-45791. [CrossRef]
Li, X., Ren, J., and Jiang, H., 2012, “Full Field Algebraic Anisotropic Eddy Viscosity Model for the Film Cooling Flows,” ASME Paper No. GT2012-68667. [CrossRef]
Li, X., Ren, J., and Jiang, H., 2012, “Application of the Anisotropic Eddy-Viscosity Model to Film Cooling Flows With Different Geometries,” J. Eng. Thermophys., 33(4), pp. 578–582. http://jetp.iet.cn/EN/Y2012/V33/I4/578
Liu, C., Zhu, H., and Bai, J., 2008, “Effect of Turbulent Prandtl Number on the Computation of Film-Cooling Effectiveness,” Int. J. Heat Mass Transfer, 51(25), pp. 6208–6218. [CrossRef]
Liu, C., Zhu, H., and Bai, J., 2011, “New Development of the Turbulent Prandtl Number Models for the Computation of Film Cooling Effectiveness,” Int. J. Heat Mass Transfer, 54(4), pp. 874–886. [CrossRef]
Abe, K., and Suga, K., 2001, “Towards the Development of a Reynolds-Averaged Algebraic Turbulent Scalar Flux Model,” Int. J. Heat Fluid Flow, 22(1), pp. 19–29. [CrossRef]
Li, X., Qin, Y., Ren, J., and Jiang, H., 2014, “Algebraic Anisotropic Turbulence Modeling of Compound Angled Film Cooling Validated by PIV and PSP Measurements,” ASME J. Heat Transfer, 136(3), p. 032201. [CrossRef]
Chen, H. C., and Patel, V. C., 1988, “Near-Wall Turbulence Models for Complex Flows Including Separation,” AIAA J., 26(6), pp. 641–648. [CrossRef]
Coleman, H. W., and Steele,W. G., 1989, Experimentation and Uncertainty Analysis for Engineers, Wiley, New York.
Li, J., 2011, “Experimental and Numerical Research on Gas Turbine Film Cooling,” Ph.D. thesis, Tsinghua University, Beijing, China.

Figures

Grahic Jump Location
Fig. 1

Wind tunnel of the experiment

Grahic Jump Location
Fig. 2

Schematic diagram of the test section

Grahic Jump Location
Fig. 3

Schematic of leading edge model

Grahic Jump Location
Fig. 4

Grid for computation

Grahic Jump Location
Fig. 5

Averaged adiabatic film cooling effectiveness (D.R = 1.0, M = 1.3)

Grahic Jump Location
Fig. 6

Averaged adiabatic film cooling effectiveness (D.R = 1.5, M = 1.3)

Grahic Jump Location
Fig. 7

Geometry of the test vane

Grahic Jump Location
Fig. 8

The solution domain

Grahic Jump Location
Fig. 10

Averaged adiabatic film cooling effectiveness for case A: (a) M = 0.5 and (b) M = 0.75

Grahic Jump Location
Fig. 11

Averaged adiabatic film cooling effectiveness for case B: (a) M = 0.75 and (b) M = 1.0

Grahic Jump Location
Fig. 12

Film cooling effectiveness on suction side of case A (M = 0.5)

Grahic Jump Location
Fig. 13

Film cooling effectiveness on pressure side of case A (M = 0.5)

Grahic Jump Location
Fig. 14

Film cooling effectiveness on suction side of case B (M = 1.5)

Grahic Jump Location
Fig. 15

Film cooling effectiveness on pressure side of case B (M = 1.5)

Grahic Jump Location
Fig. 16

Kinetic energy in the midspan passage of case B (M = 1.5)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In