Research Papers

Large-Eddy Simulation and Conjugate Heat Transfer Around a Low-Mach Turbine Blade

[+] Author and Article Information
Florent Duchaine

42 Avenue G. Coriolis,
Toulouse 31057,France
e-mail: florent.duchaine@cerfacs.fr

Nicolas Maheu

e-mail: nicolas.maheu@coria.fr

Vincent Moureau

e-mail: vincent.moureau@coria.fr
Universitée et INSA de Rouen,
Saint-Etienne du Rouvray 76801,France

Guillaume Balarac

Université Joseph Fourier,
et Institut National Polytechnique de Grenoble,
Grenoble 38041,France
e-mail: guillaume.balarac@grenoble-inp.fr

Stéphane Moreau

Mechanical Engineering,
Université de Sherbrooke,
2500 Boulevard de l'Université,
Sherbrooke, QC J1K2R1, Canada
e-mail: stephane.smoreau@gmail.com

1Corresponding author.

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received June 7, 2013; final manuscript received July 8, 2013; published online October 23, 2013. Editor: Ronald Bunker.

J. Turbomach 136(5), 051015 (Oct 23, 2013) (11 pages) Paper No: TURBO-13-1092; doi: 10.1115/1.4025165 History: Received June 07, 2013; Revised July 08, 2013

Determination of heat loads is a key issue in the design of gas turbines. In order to optimize the cooling, an exact knowledge of the heat flux and temperature distributions on the airfoils surface is necessary. Heat transfer is influenced by various factors, like pressure distribution, wakes, surface curvature, secondary flow effects, surface roughness, free stream turbulence, and separation. Each of these phenomenons is a challenge for numerical simulations. Among numerical methods, large eddy simulations (LES) offers new design paths to diminish development costs of turbines through important reductions of the number of experimental tests. In this study, LES is coupled with a thermal solver in order to investigate the flow field and heat transfer around a highly loaded low pressure water-cooled turbine vane at moderate Reynolds number (150,000). The meshing strategy (hybrid grid with layers of prisms at the wall and tetrahedra elsewhere) combined with a high fidelity LES solver gives accurate predictions of the wall heat transfer coefficient for isothermal computations. Mesh convergence underlines the known result that wall-resolved LES requires discretizations for which y+ is of the order of one. The analysis of the flow field gives a comprehensive view of the main flow features responsible for heat transfer, mainly the separation bubble on the suction side that triggers transition to a turbulent boundary layer and the massive separation region on the pressure side. Conjugate heat transfer computation gives access to the temperature distribution in the blade, which is in good agreement with experimental measurements. Finally, given the uncertainty on the coolant water temperature provided by experimentalists, uncertainty quantification allows apprehension of the effect of this parameter on the temperature distribution.

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Lakshminarayana, B., 1996, Fluid Dynamics and Heat Transfer of Turbomachinery, Wiley, New York.
Lefebvre, A. H., 1999, Gas Turbines Combustion, Taylor & Francis, New York.
Schiele, R., and Wittig, S., 2000, “Gas Turbine Heat Transfer: Past and Future Challenges,” J. Propul. Power, 16(4), pp. 583–589. [CrossRef]
Dunn, M., 2001, “Convective Heat Transfer and Aerodynamics in Axial Flow Turbines,” ASME J. Turbomach., 123, pp. 637–686. [CrossRef]
Bunker, R. S., 2006, “Gas Turbine Heat Transfer: 10 Remaining Hot Gas Path Challenges,” Procceedings of the ASME Turbo Expo 2006, Barcelona, Spain, May 8–11, ASME Paper No. GT2006-90002. [CrossRef]
Tennekes, H., and Lumley, J. L., 1972, A First Course in Turbulence, M.I.T. Press, Cambridge, MA.
Lumley, J. L., 1978, “Computational Modeling of Turbulent Flows,” Adv. Appl. Mech., 18, pp. 123–176. [CrossRef]
Pope, S. B., 2000, Turbulent Flows, Cambridge University Press, Cambridge, UK.
Wilcox, D., 1988, “Reassessment of the Scale-Determining Equation for Advanced Turbulence Models,” AIAA J., 26, pp. 1299–1310. [CrossRef]
Hirsch, C., 1990, Numerical Computation of Internal and External Flows, Vol. 2., John Wiley & Sons, New York.
Sagaut, P., 2000, Large Eddy Simulation for Incompressible Flows, Springer-Verlag, Berlin.
Abu-Ghannam, B., and Shaw, R., 1980, “Natural Transition of Boundary Layers—The Effects of Turbulence, Pressure Gradient, and Flow History,” J. Mech. Eng. Sci., 22(5), pp. 213–228. [CrossRef]
Mayle, R. E., 1991, “The Role of Laminar-Turbulent Transition in Gas Turbine Engines,” ASME J. Turbomach., 113, pp. 509–537. [CrossRef]
Johnson, M. W., 1994, “A Bypass Transition Model for Boundary Layers,” ASME J. Turbomach., 116(4), pp. 759–764. [CrossRef]
Smirnov, E., and Smirnovsky, A., 2009, “Turbine Vane Cascade Heat Transfer Predictions Using a Modified Version of the γ-R˜eθt Laminar–Turbulent Transition Model,” Proceedings of the International Symposium on Heat Transfer in Gas Turbine Systems, Antalya, Turkey, August 9–14. [CrossRef]
Wlassow, F., Duchaine, F., Leroy, G., and Gourdain, N., 2010, “3D Simulation of Coupled Fluid Flow and Solid Heat Conduction for the Calculation of Blade Wall Temperature in a Turbine Stage,” ASME Paper No. GT2010-22513. [CrossRef]
Lutum, E., and Cottier, F., 2011, “Aerothermal Predictions on a Highly Loaded Turbine Blade Including Effects of Flow Separation,” Proceedings of the 9th European Turbomachinery Conference, Istanbul, Turkey, March 21–25.
Rozati, A., 2007, “Large Eddy Simulation of Leading Edge Film Cooling: Flow Physics, Heat Transfer, and Syngas Ash Deposition,” Ph.D. thesis, Virginia Polytechnic Institute and State University, Blacksburg, VA.
Boudier, G., Gicquel, L. Y. M., Poinsot, T., Bissieres, D., and Bérat, C., 2007, “Comparison of LES, RANS and Experiments in an Aeronautical Gas Turbine Combustion Chamber,” Proc. Combust. Inst., 31, pp. 3075–3082. [CrossRef]
Sagaut, P., and Deck, S., 2009, “Large-Eddy Simulation for Aeronadymics: Status and Perspectives,” Philos. Trans. R. Soc. Lond., 367, pp. 2849–2860. [CrossRef]
Leonard, T., Duchaine, F., Gourdain, N., and Gicquel, L., 2010, “Steady/Unsteady Reynolds Averaged Navier–Stokes and Large Eddy Simulations of a Turbine Blade at High Subsonic Outlet Mach Number,” Proceedings of the ASME Turbo Expo, Glasgow, UK, June 14–18, ASME Paper No. GT2010-22469. [CrossRef]
Duchaine, F., Corpron, A., Pons, L., Moureau, V., Nicoud, F., and Poinsot, T., 2009, “Development and Assessment of a Coupled Strategy for Conjugate Heat Transfer With Large Eddy Simulation: Application to a Cooled Turbine Blade,” Int. J. Heat Fluid Flow, 30(6), pp. 1129–1141. [CrossRef]
Bhaskaran., R., and Lele, S., 2010, “Large Eddy Simulation of Free-Stream Turbulence Effects on Heat Transfer to a High-Pressure Turbine Cascade,” J. Turbul., 11(6), pp. 1–15. [CrossRef]
Maheu, N., Moureau, V., and Domingo, P., 2012. “High Fidelity Simulation of Heat Transfer Between a Turbulent Flow and a Wall,” Proceedings of the 9th International ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements (ETMM9), Thessaloniki, Greece, June 6–8.
Collado, E., Gourdain, N., Duchaine, F., and Gicquel, L., 2012, “Effects of Free-Stream Turbulence on High Pressure Turbine Blade Heat Transfer Predicted by Structured and Unstructured LES,” J. Heat Mass Transfer, 55(21–22), pp. 5754–5768. [CrossRef]
Heselhaus, A., and Vogel, D. T., 1995, “Numerical Simulation of Turbine Blade Cooling With Respect to Blade Heat Conduction and Inlet Temperature Profiles,” Proceedings of the 31st AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, San Diego, CA, July 10–12, AIAA Paper No. 1995-3041. [CrossRef]
Sondak, D. L., and Dorney, D. J., 2000, “Simulation of Coupled Unsteady Flow and Heat Conduction in Turbine Stage,” J. Propul. Power, 16(6), pp. 1141–1148. [CrossRef]
Papanicolaou, E., Giebert, D., Koch, R., and Schultz, A., 2001, “A Conservation-Based Discretization Approach for Conjugate Heat Transfer Calculations in Hot-Gas Ducting Turbomachinery Components,” Int. J. Heat Mass Transfer, 44, pp. 3413–3429. [CrossRef]
Garg, V., 2002, “Heat Transfer Research on Gas Turbine Airfoils at NASA GRC,” Int. J. Heat Fluid Flow, 23(2), pp. 109–136. [CrossRef]
Bohn, D., Ren, J., and Kusterer, K., 2005, “Systematic Investigation on Conjugate Heat Transfer Rates of Film Cooling Configurations,” Int. J. Rotating Mach., 2005(3), pp. 211–220. [CrossRef]
Alonso, J. J., Hahn, S., Ham, F., Herrmann, M., Iaccarino, G., Kalitzin, G., LeGresley, P., Mattsson, K., Medic, G., Moin, P., Pitsch, H., Schlüter, J., Svard, M., der Weide, E., You, D., and Wu, X., 2006, “CHIMPS: A High-Performance Scalable Module for Multi-Physics Simulation,” Proceedings of the 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Sacramento, CA, July 9–12, AIAA Paper No. 2006-5274. [CrossRef]
Ladisch, H., Schulz, A., and Bauer, H.-J., 2009, “Heat Transfer Measurements on a Turbine Airfoil with Pressure Side Separation,” Proceedings of the ASME Turbo Expo 2009: Power for Land, Sea, and Air, Orlando, FL, June 8–12, ASME Paper No. GT2009-59904. [CrossRef]
European Commision, 2005, “Aero-Thermal Investigation on Turbine End-Wall and Blades,” Report No. AST4-CT-2005-516113.
Turner, A., 1970, “Heat Transfer Instrumentation,” Technical Report No. AGARD-CP-73.
Wittig, S., Schulz, A., and Bauer., H., 1985, “Effects of Wakes on the Heat Transfer in Gas Turbine Cascades,” Technical Report No. AGARD-CP-390.
Schultz, M. S. A., and Wittig, S., 2005, “Surface Roughness Effects on External Heat Transfer on a HP Turbine Vane,” ASME Paper No. GT2004-53114. [CrossRef]
Cadieux, F., Domaradzki, J., Sayadi, T., Bose, S., and Duchaine, F., 2012, “DNS and LES of Separated Flows at Moderate Reynolds Numbers,” Proceedings of the American Physical Society 65th Annual Meeting of the APS Division of Fluid Dynamics, San Diego, CA, November 18–20.
Buis, S., Piacentini, A., and Déclat, D., 2005, “PALM: A Computational Framework for Assembling High Performance Computing Applications,” Concurr. Comput., 18(2), pp. 231–245. [CrossRef]
Piacentini, A., Morel, T., Thevenin, A., and Duchaine, F., 2011, “Open-Palm: An Open Source Dynamic Parallel Coupler,” Proceedings of the 4th International Conference on Computational Methods for Coupled Problems in Science and Engineering, Kos, Greece, June 20–22.
Poinsot, T., and Veynante, D., 2005, Theoretical and Numerical Combustion, 2nd ed., R.T. Edwards, Flourtown, PA.
Ferziger, J. H., and Perić, M., 1997, Computational Methods for Fluid Dynamics, Springer-Verlag, Berlin.
Smagorinsky, J., 1963, “General Circulation Experiments With the Primitive Equations: 1. The Basic Experiment,” Monthly Weather Rev., 91, pp. 99–164. [CrossRef]
Chassaing, P., 2000, Turbulence en Mécanique des Fluides, Analyse du Phénomene en Vue de sa Modélisation a L'usage de L'ingénieur, Cépadues-Éditions, Toulouse, France.
Baya Toda, H., Cabrit, O., Balarac, G., Bose, S. T., Lee, J., Choi, H., and Nicoud, F., 2010, “A Subgrid-Scale Model Based on Singular Values for LES in Complex Geometries,” Proceedings of the Summer Program, Center for Turbulence Research, NASA Ames/Stanford University.
Nicoud, F. H. B. T., Cabrit, O. S., B., and Lee, J., 2011. “Using Singular Values to Build a Subgrid-Scale Model for Large Eddy Simulations,” Phys. Fluids, 23(8), 085106. [CrossRef]
Nicoud, F., and Ducros, F., 1999, “Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient,” Flow, Turbul. Combust., 62(3), pp. 183–200. [CrossRef]
Schønfeld, T., and Rudgyard, M., 1999, “Steady and Unsteady Flows Simulations Using the Hybrid Flow Solver AVBP,” AIAA J., 37(11), pp. 1378–1385. [CrossRef]
Mendez, S., and Nicoud, F., 2008, “Large-Eddy Simulation of a Bi-Periodic Turbulent Flow With Effusion,” J. Fluid Mech., 598, pp. 27–65. [CrossRef]
Selmin, V., 1987, “Third-Order Finite Element Schemes for the Solution of Hyperbolic Problems,” Institut National de Recherche en Informatique et en Automatique, Technical Report No. 707.
Donea, J., and Huerta, A., 2003, Finite Element Methods for Flow Problems, Wiley, New York.
Lamarque, N., 2007, “Schémas Numériques et Conditions Limites pour la Simulation aux Grandes Échelles de la Combustion Diphasique dans les foyers D'hélicoptere,” Ph.D. thesis, INP Toulouse, Toulouse, France.
Boileau, M., Staffelbach, G., Cuenot, B., Poinsot, T., and Bérat, C., 2008, “LES of an Ignition Sequence in a Gas Turbine Engine,” Combust. Flame, 154(1–2), pp. 2–22. [CrossRef]
Staffelbach, G., Gicquel, L., Boudier, G., and Poinsot, T., 2009, “Large Eddy Simulation of Self-Excited Azimuthal Modes in Annular Combustors,” Proc. Combust. Inst., 32, pp. 2909–2916. [CrossRef]
Gicquel, L., Staffelbach, G., and Poinsot, T., 2012, “Large Eddy Simulations of Gaseous Flames in Gas Turbine Combustion Chambers,” Prog. Energy Combust. Sci., 38(6), pp. 782–817. [CrossRef]
Colin, O., and Rudgyard, M., 2000, “Development of High-Order Taylor-Galerkin Schemes for Unsteady Calculations,” J. Comput. Phys., 162(2), pp. 338–371. [CrossRef]
Boileau, M., Duchaine, F., Jouhaud, J.-C., and Sommerer, Y., 2013, “Large Eddy Simulation of Heat Transfer Around a Square Cylinder Using Unstructured Grids,” AIAA J., 51(2), pp. 372–385. [CrossRef]
Frayssé, V., Giraud, L., Gratton, S., and Langou, J., 2005, “A Set of GMRES Routines for Real and Complex Arithmetics on High Performance Computers,” ACM Trans. Math. Softw., 31(2), pp. 228–238. [CrossRef]
Poinsot, T., Echekki, T., and Mungal, M. G., 1992, “A Study of the Laminar Flame Tip and Implications for Premixed Turbulent Combustion,” Combust. Sci. Technol., 81(1–3), pp. 45–73. [CrossRef]
Granet, V., Vermorel, O., Leonard, T., Gicquel, L., and Poinsot, T., 2010, “Comparison of Nonreflecting Outlet Boundary Conditions for Compressible Solvers on Unstructured Grids,” AIAA J., 48(10), pp. 2348–2364. [CrossRef]
Giles, M., 1997, “Stability Analysis of Numerical Interface Conditions in Fluid-Structure Thermal Analysis,” Int. J. Numer. Meth. Fluids, 25(4), pp. 421–436. [CrossRef]
Xiu, D., and Hesthaven., J., 2005, “High-Order Collocation Methods for Differential Equations With Random Inputs,” SIAM J. Sci. Comput., 27(3), pp. 1118–1139. [CrossRef]
Loeven, G., Witteveen, J., and Bijl, H., 2007, “Probabilistic Collocation: An Efficient Nonintrusive Approach for Arbitrarily Distributed Parametric Uncertainties,” Proceedings of the 45th AIAA Aerospace Sciences Meeting, Reno, NV, January 8–11, AIAA Paper No. 2007-317. [CrossRef]
Pecnik, R., Witteveen, J., and Iaccarino, G., 2011, “Uncertainty Quantification for Laminar-Turbulent Transition Prediction in RANS Turbomachinery Applications,” Proceedings of the 49th AIAA Aerospace Sciences Meeting, Orlando, FL, January 4–7, AIAA Paper No. 2011-0660. [CrossRef]
Christophe, J., Sanjosé, M., and Moreau, S., 2012, “Uncertainty Quantification of a Low-Speed Axial Fan Self-Noise,” 14th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC-14), Honolulu, HI, February 27–March 2.
Gnielinski, V., 1975, “Neue Gleichungen für den Wärme—Und den Stoffübergang in Turbulent Durchströmten Rohren und Kanälen,” Forsch. Ingenieurwes., 41, pp. 8–16. [CrossRef]


Grahic Jump Location
Fig. 1

(a) Test section—blades with pressure taps #2 and #4, blade with thermocouples #3, (b) geometry of the cooled blade #3

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Fig. 2

(a) Sketch of the fluid computational domain and (b) detail of the corresponding unstructured mesh grid

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Fig. 3

Main flow features responsible of heat transfer characteristics: velocity field (up) and isosurface of Q-criterion (bottom). The simulation is done with mesh M4.

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Fig. 4

Mean temporal pressure distribution along the blade profile. The simulation is done with mesh M4.

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Fig. 5

(a) Y+ and (b) wall friction τw distributions along the blade profile for the four meshes

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Fig. 6

(a) Convective heat transfer coefficient h distribution along the blade profile for the four meshes and (b) evolutions of boundary layer thicknesses along the suction side of the blade

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Fig. 7

(a) Temperature distribution around the blade obtained by CHT and (b) comparison of convective heat transfer coefficient obtained with an isothermal computation (IsoT) and the coupled simulation (CPL)

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Fig. 8

Mean and 95% confident interval of the temperature distribution around the blade with respect to uncertainty in conductivity with a mean values of (a) λ¯s=7 W·m-1·K-1 and (b) λ¯s=6.5 W·m-1·K-1

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Fig. 9

Spatial distribution of RMS temperature in the blade with respect to uncertainty in convective conditions in (top (a)) hole #1, (top (b)) hole #4 and mean and 95% confident interval of the temperature distribution around the blade with respect to uncertainty in convective conditions in (bottom (a)) hole #1, (bottom (b)) hole #4

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Fig. 10

RMS temperature profiles around the blade obtained by UQ simulations done on separated convective temperature in holes compared to the full UQ in all holes (a) and mean and 95% confident interval of the temperature distribution around the blade with respect to uncertainty in convective conditions in all the holes (b)



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