External heat transfer predictions are performed for two-dimensional turbine blade cascades. The Reynolds-averaged Navier–Stokes equations with algebraic (Arnone and Pacciani, 1998), one-equation (Spalart and Allmaras, 1994), and two-equation (low-Re k–ε, Biswas and Fukuyama, 1994) turbulence closures are solved with a fully implicit time-marching finite volume method. Comparisons with measurements (Arts et al., 1990; Arts, 1994) for a highly loaded transonic turbine nozzle guide vane cascade show good agreement in some cases, but also reveal problems with transition prediction and turbulence modeling. Special attention has been focused on the low-Re k–ε model concerning the influence of the inlet boundary condition for the ε-equation and problems in the stagnation point region.

Issue Section:
Research Papers
Topics:
Cascades (Fluid dynamics), Guide vanes, Heat transfer, Turbines, Turbulence, Algebra, Boundary-value problems, Finite volume methods, Modeling, Nozzle guide vanes, Reynolds-averaged Navier–Stokes equations, Turbine blades
1.
Arnone
A.
, and
Pacciani
R.
,
1998
, “
IGV–Rotor Interaction Analysis in a Transonic Compressor Using the Navier–Stokes Equations
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
120
, pp.
147
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155
.
2.
Artner, W., 1997, “Implementierung eines Eingleichungsmodells in einen 2D Navier Stokes Code,” Diploma Thesis, TU-Graz, ITTM.
3.
Arts, T., Lambert de Rouvroit, M., and Rutherford, A. W., 1990, “Aero-thermal Investigation of a Highly Loaded Transonic Linear Turbine Guide Vane Cascade,” Technical Note 174, von Karman Institute for Fluid Dynamics, Belgium.
4.
Arts, T., 1994, “Highly Loaded Transonic and Film Cooled Linear Turbine Guide Vane Cascade,” in: “Numerical Methods for Flow Calculation in Turbomachines,” VKI Lecture Series, 1994-06.
5.
Baldwin, B. S., and Lomax, H., 1978, “Thin layer approximation and algebraic model for separated turbulent flows,” AIAA Paper No. 78-257.
6.
Biswas
D.
, and
Fukuyama
Y.
,
1994
, “
Calculation of Transitional Boundary Layers With an Improved Low-Reynolds-Number Version of the k–ε Turbulence Model
,”
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, Vol.
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, pp.
765
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7.
Boussinesq
J.
,
1877
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Essai Sur la The´orie des Eaux Courantes
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Furukawa
M.
,
Yamasaki
M.
, and
Inoue
M.
,
1991
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A Zonal Approach for Navier–Stokes Computations of Compressible Cascade Flow Fields Using a TVD Finite Volume Method
,”
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Gehrer, A., Paßrucker, H., Jericha, H., and Lang, J., 1996, “Blade Design and Grid Generation for Computational Fluid Dynamics (CFD) With Be´zier-curves and Be´zier-Surfaces,” European Conference, Antwerpen, March ’97, Paper No. 54.
10.
Kato, M., and Launder, B. E., 1993, “The modeling of turbulent flow around stationary and vibrating square cylinders,” in: Proc. 9th Symposium on Turbulent Shear Flows, Kyoto, pp. 10.4.1–10.4.6, Aug.
11.
Kwon
O. K.
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R. H.
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R. A.
,
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12.
Larsson, J., Eriksson, L. E., and Ha˚ll, U., 1995, “External Heat Transfer Predictions in Supersonic Turbines Using the Reynolds Averaged Navier–Stokes Equations,” Proc. 12th ISABE Conference, Melbourne, copies distributed by AIAA.
13.
Larsson, J., 1996, “Numerical Simulation of Turbine Blade Heat Transfer,” Thesis for the degree of Licentiate of Engineering, Department of Thermo and Fluid Dynamics Chalmers, University of Technology.
1.
Larsson
J.
,
1997
, “
Turbine Blade Heat Transfer Calculations Using Two-Equation Turbulence Models
,”
IMechE Journal A, Proc Instn Mech Engrs
, Vol.
211
, Part A, pp.
253
–
262
;
2.
also in Proc. 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, Antwerpen, 1997, pp. 411–420.
1.
Lefebvre, M., and Arts, T., 1997, “Numerical Aero-Thermal Prediction of Laminar/Turbulent Flows in a Two-Dimensional High Pressure Turbine Linear Cascade,” European Conference, Antwerpen, Mar.
2.
Migliorini, F., and Michelassi, V., 1997, “Transition and Heat Transfer Modelling in Transonic Linear Cascade,” European Conference, Antwerpen, Mar.
3.
Sanz, W., Gehrer, A., and Paßrucker, H., 1995, “An Implicit TVD Upwind Relaxation Scheme for the Unsteady 2D-Euler-Equations” ASME Paper No. 95-CTP-71.
4.
Schultz, D. L., and Jones, T. V., 1973, “Heat Transfer Measurements in Short Duration Hypersonic Facilities,” AGARDograph 165.
5.
Spalart, P. R., and Allmaras, S. R., 1994, “A One Equation Turbulence Model for Aerodynamic Flows,” La Recherche Aerospatiale, No. 1, pp. 5–21.
6.
Van den Braembussche, R. A., Leonard, O., and Nekmouche, L., 1989, “Subsonic and Transonic Blade Design by Means of Analysis Codes,” presented at the 64th FDP specialists’ meeting on “Computational Methods for Aerodynamic Design (inverse) and Optimization,” May 22–23, Loen, Norway.
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