Effects of Inlet Turbulence Conditions and Near-wall Treatment Methods on Heat Transfer Prediction over Gas Turbine Vanes

Title & Authors
Effects of Inlet Turbulence Conditions and Near-wall Treatment Methods on Heat Transfer Prediction over Gas Turbine Vanes
Bak, Jeong-Gyu; Cho, Jinsoo; Lee, Seawook; Kang, Young Seok;

Abstract
This paper investigates the effects of inlet turbulence conditions and near-wall treatment methods on the heat transfer prediction of gas turbine vanes within the range of engine relevant turbulence conditions. The two near-wall treatment methods, the wall-function and low-Reynolds number method, were combined with the SST and $\small{{\omega}RSM}$ turbulence model. Additionally, the RNG $\small{k-{\varepsilon}}$, SSG RSM, and $\small{SST_+{\gamma}-Re_{\theta}}$ transition model were adopted for the purpose of comparison. All computations were conducted using a commercial CFD code, CFX, considering a three-dimensional, steady, compressible flow. The conjugate heat transfer method was applied to all simulation cases with internally cooled NASA turbine vanes. The CFD results at mid-span were compared with the measured data under different inlet turbulence conditions. In the SST solutions, on the pressure side, both the wall-function and low-Reynolds number method exhibited a reasonable agreement with the measured data. On the suction side, however, both wall-function and low-Reynolds number method failed to predict the variations of heat transfer coefficient and temperature caused by boundary layer flow transition. In the $\small{{\omega}RSM}$ results, the wall-function showed reasonable predictions for both the heat transfer coefficient and temperature variations including flow transition onset on suction side, but, low-Reynolds methods did not properly capture the variation of the heat transfer coefficient. The $\small{SST_+{\gamma}-Re_{\theta}}$ transition model showed variation of the heat transfer coefficient on the transition regions, but did not capture the proper transition onset location, and was found to be much more sensitive to the inlet turbulence length scale. Overall, the Reynolds stress model and wall function configuration showed the reasonable predictions in presented cases.
Keywords
Near-wall Treatment Methods;Gas Turbine Vane;Computational Fluids Dynamics;
Language
English
Cited by
References
1.
Ralf, S. and Sigmar, W., "Gas Turbine Heat Transfer: Past and Future Challenges", Journal of Propulsion and Power, Vol. 16, No. 4, 2000, pp. 583-589.

2.
Han, J. C., Dutta, S. and Ekkad, S. V., Gas Turbine Heat Transfer and Cooling Technology, 1st ed., Taylor and Francis, London, 2000.

3.
Facchini, B., Magi, A. and Greco, A. S. D., "Conjugate Heat Transfer Simulation of a Radially Cooled Gas Turbine Vane", ASME Paper, No. GT2004-54213, 2004.

4.
Tucker, P. G., "Trends in Turbomachinery Turbulence Treatments", Progress in Aerospace Sciences, Vol. 63, 2013, pp. 1-32.

5.
Ledezma, G. A., Laskowski, G. M. and Tolpadi, A. K., "Turbulence Model Assessment for Conjugate Heat Transfer in a High Pressure Turbine Vane Model", ASME Paper, No. GT2008-50498, 2008.

6.
Wilcox, D. C., Turbulence Modeling for CFD, 2nd ed., DCW industries, La Canada, CA, 1998.

7.
Luo, J. and Razinsky, E. H., "Conjugate Heat Transfer Analysis of a Cooled Turbine Vane Using the V2F Turbulence Model", ASME Journal of Turbomachinery, Vol. 129, No. 4, 2006, pp. 773-781.

8.
Ames, F. E., Experimental Study of Vane Heat Transfer and Aerodynamics at Elevated Levels of Turbulence, NASA CR-4633, 1994.

9.
Ames, F. E., "The Influence of Large-Scale High Intensity Turbulence on Vane Surface Heat Transfer", ASME Journal of Turbomachinery., Vol. 119, No. 1, 1997, pp. 23-30.

10.
Nasir, S., Carullo, J. S., Ng, W., Thole, K. A., Wu, H., Zhang, L. J., and Moon, H. K., "Effects of Large Scale High Freestream Turbulence and Exit Reynolds Number on Turbine Vane Heat Transfer in a Transonic Cascade", ASME Journal of Turbomachinery, Vol. 131, No. 2, 2009, 021021.

11.
Medic, G. and Durbin, P. A., "Toward Improved Prediction of Heat Transfer on Turbine Blades", ASME Journal of Turbomachinery, Vol. 124, No. 2, 2002, pp. 187-192.

12.
Luo, J., Razinsky, E. H. and Moon. H. K., "Three-Dimensional RANS Prediction of Gas-Side Heat Transfer Coefficients on Turbine Blade and Endwall", ASME Journal of Turbomachinery, Vol. 135, No. 2, 2012, 021005.

13.
Hylton, L. D., Milhec, M. S., Turner, E. R., Nearly, D. A. and York, R. E., "Analytical and Experimental Evaluation of the Heat Transfer Distribution Over the Surface of Turbine Vanes", NASA CR-168015, 1983.

14.
Rhie, C. M. and Chow, W. L., "A numerical Study of the Turbulent Flow Past an Isolated Airfoil with the Trailing Edge Separation", AIAA Paper, No. 82-0998, 1982.

15.
Barth, T. J. and Jesperson, D. C., "The Design and Application of Upwind Schemes on Unstructured Meshes", AIAA Paper, No. 89-0366, 1989.

16.
Raw, M. J., "Robustness of Coupled Algebraic Multigrid for the Navier-Stokes Equations," AIAA 34th Aerospace and Sciences Meeting & Exhibit, AIAA Paper, No. 96-0297, 1996.

17.
ANSYS Inc., ANSYS CFX-Solver Theory Guide, Release 14.0, ANSYS Inc., Canonsburg, PA, 2011.

18.
York, W. D. and Leylek, J. H., "Three-Dimensional Conjugate Heat Transfer Simulation of an Internally-Cooled Gas Turbine Vane", ASME Paper, No. GT2003-38551, 2003.

19.
White, F. M., Viscous Fluid Flow, 3rd ed., McGraw-Hill, New York, 2006.

20.
Speziale, C. G., Sarka, S. and Gatski, T. B., "Modeling the Pressure-strain Correlation of Turbulence : An Invariant Dynamical Systems Approach", Journal of Fluid Mechanics, Vol. 227, 1991, pp.245-272

21.
Menter, F. R., Langtry, R.B. Likki, S. R., Suzen, Y. B., Huang, P. G. and Volker, S., "A Correlation-Based Transition Model Using Local Variables-Part I : Model Formulation", ASME Journal of Turbomachinery, Vol. 128, No. 3, 2006, pp. 413-422.

22.
Bredberg, J., "On the Wall Boundary Condition for Turbulence Models", Chalmers University of Technology, Department of Thermo and Fluid Dynamics, Internal Report, No. 00/4, Goteborg, 2003.

23.
Kader, B.A., "Temperature and concentration profiles in fully turbulent boundary layers", International Journal of Heat and Mass Transfer, Vol. 24, No. 9, 1981, pp. 1541-1544.

24.
Menter, F. R., Ferreira, J. C., Esch, T. and Konno, B., "The SST Turbulence Model with Improved Wall Treatment for Heat Transfer Predictions in Gas Turbines", IGTC2003-TC-059, 2003.