**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30855

##### Assessment of Modern RANS Models for the C3X Vane Film Cooling Prediction

**Authors:**
Mikhail Gritskevich,
Sebastian Hohenstein

**Abstract:**

The paper presents the results of a detailed assessment of several modern Reynolds Averaged Navier-Stokes (RANS) turbulence models for prediction of C3X vane film cooling at various injection regimes. Three models are considered, namely the Shear Stress Transport (SST) model, the modification of the SST model accounting for the streamlines curvature (SST-CC), and the Explicit Algebraic Reynolds Stress Model (EARSM). It is shown that all the considered models face with a problem in prediction of the adiabatic effectiveness in the vicinity of the cooling holes; however, accounting for the Reynolds stress anisotropy within the EARSM model noticeably increases the solution accuracy. On the other hand, further downstream all the models provide a reasonable agreement with the experimental data for the adiabatic effectiveness and among the considered models the most accurate results are obtained with the use EARMS.

**Keywords:**
turbulent heat transfer,
discrete holes film cooling,
Reynolds stress tensor anisotropy,
Reynolds Averaged Navier-Stokes

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1130607

**References:**

[1] Bunker R.S., “A review of shaped hole turbine film-cooling technology,” Journal of Heat Transfer, vol. 127(4), 2005, pp. 441-453.

[2] Mahesh K., “The interaction of jets with crossflow,” Annual Review of Fluid Mechanics, vol. 45, pp. 379-407.

[3] Acharya S., Tyagi M., and Hoda A., “Flow and heat transfer predictions for film cooling,” Annals of the New York Academy of Sciences, vol. 934(1), 2001, pp. 110-125.

[4] Menter F.R., Schutze J., Kurbatskii K.A., Gritskevich M.S., and Garbaruk A.V., “Scale-resolving simulation techniques in industrial CFD,” AIAA Paper 2011–3474, 2011, pp. 708–720.

[5] Menter F.R., Schütze J., and Gritskevich M.S., “Global vs. zonal approaches in hybrid RANS-LES turbulence modeling," Progress in Hybrid RANS-LES Modelling, vol. 117, 2012, pp. 15–28.

[6] Leedom D. H., Acharya S., “Large eddy simulations of film cooling flow fields from cylindrical and shaped holes,” Proceedings of ASME Turbo Expo 2008, 2008, pp. 865-877.

[7] Tyagi M., Acharya S., “Large eddy simulation of film cooling flow from an inclined cylindrical jet,” Journal of Turbomachinery, vol. 125(4), 2003, pp. 734-742.

[8] Guo X., Schroder W., and Meinke M., “Large eddy simulations of film cooling flows,” Computers and Fluids, vol. 35, 2006, pp. 587-606.

[9] Peet Y.V., Lele S.K., “Near field of film cooling jet issued into a flat plate boundary layer: LES study,” Proceedings of ASME Turbo Expo 2008, 2008, pp. 409-418.

[10] Renze, P., Schröder W., and Meinke M., “Large-eddy simulation of film cooling flows with variable density jets,” Flow Turbulence and Combustion, vol. 80, 2008, pp. 119–132.

[11] Rozati A., Tafti D.K., “Large eddy simulation of leading edge film cooling—part II: heat transfer and effect of blowing ratio,” Journal of Turbomachinery, vol. 130(4), 2008, p. 041015.

[12] Rozati A., Tafti D.K., “Effect of coolant-mainstream blowing ratio on leading edge film cooling flow and heat transfer,” International Journal of Heat and Fluid Flow, vol. 29(4), 2008, pp. 857–873.

[13] Rozati A., Tafti D.K., “Large-eddy simulations of leading edge film cooling: analysis of flow structures, effectiveness, and heat transfer coefficient,” International Journal of Heat and Fluid Flow, vol. 29(1), 2008, pp. 1–17.

[14] Joo J., Durbin P. “Simulation of turbine blade trailing edge cooling” Journal of Fluids Engineering, vol. 131, 2009, pp. 021102.

[15] Liang J., Kang S., “Investigation of film cooling on the leading edge of turbine blade based on detached eddy simulation,” Science China Technological Sciences, vol. 55(8), 2012, pp. 2191–2198.

[16] Ravelli S., Barigozzi G., “Modelling the influence of vortex shedding on trailing edge cutback film cooling at different blowing ratios,” Proceedings of 11th European Conference on Turbomachinery Fluid dynamics & Thermodynamics, 2015, pp. 1-11.

[17] He L., “Fourier methods for turbomachinery applications,” Progress in Aerospace Sciences, vol. 46, 2010, pp. 329–341.

[18] Wilcox D.C., Turbulence modeling for CFD, 2006, pp. 1-536

[19] Hasanpour A., Farhadi M., and Ashorynejad H.R., “Hole configuration effect on turbine blade cooling,” International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, vol. 5(1), 2011, pp 1089-1093.

[20] Medic, G., Durbin P.A., “Toward improved film cooling prediction,” Journal of Turbomachinery, vol. 124(2), 2002, pp. 193-199.

[21] Johnson J.J. et al.,”Three-dimensional film-cooled vane CFD simulations and preliminary comparison to experiments,” AIAA Paper 2011-499, 2011, pp. 1-13.

[22] Bradley A. et al., “Towards efficient CFD-simulations of engine like turbine guide vane film cooling,” AIAA Paper, 2011-708, 2011, pp. 1-8.

[23] Najafabadi H.N et al., “CFD simulations using reduced models for film cooling design,” AIAA Paper 2011-710, pp. 1-12.

[24] Nasir S. et al., “Effects of large scale high freestream turbulence and exit Reynolds number on turbine vane heat transfer in a transonic cascade,” Journal of Turbomachinery, vol. 131(2), 2009, pp. 021021.

[25] Garg, V.K., Ameri, A.A., “Comparison of two-equation turbulence models for prediction of heat transfer on film-cooled turbine blades,” Numerical Heat Transfer, vol. 32, 1997, pp. 347-371.

[26] Laskowski G.M., Tolpadi A.K., and Ostrowski M.C., “Heat transfer predictions of film cooled stationary turbine airfoils,” Proceedings of ASME Turbo Expo 2007, 2007, pp. 475-485.

[27] Najafabadi H.N., Karlsson M., Utriainen E., and Kinell M., “CFD based sensitivity analysis of influencing flow parameters for cylindrical and shaped holes in a gas turbine vane,” Proceedings of ASME Turbo Expo 2012, 2012, pp. 1501-1509.

[28] Menter F.R., Kuntz M., and Langtry R., “Ten years of industrial experience with the SST turbulence model,” Turbulence, Heat and Mass Transfer 4, 2003, pp. 625-632.

[29] Smirnov P.E., Menter F.R., “Sensitization of the SST Turbulence model to rotation and curvature by applying the Spalart–Shur correction term,” Journal of Turbomachinery, vol. 131(4), 2009, pp. 41010.

[30] Menter F.R., Garbaruk A.V., and Egorov. Y., “Explicit algebraic Reynolds stress models for anisotropic wall-bounded flows,” Progress in Flight Physics 3, 2012, pp. 89-104.

[31] Ames F.E., “Aspects of vane film cooling with high turbulence: part I—heat transfer,” Journal of Turbomachinery, vol. 120(4), 1998, pp. 768-776.

[32] Ames F.E., “Aspects of vane film cooling with high turbulence: part II—adiabatic effectiveness,” Journal of Turbomachinery, vol. 120(4), 1998, pp. 777-784.

[33] Azzi A., Lakehal D., “Perspectives in modeling film cooling of turbine blades by transcending conventional two-equation turbulence models,” Journal of Turbomachinery, vol. 124(3), 2002, pp. 472-484.