An existing three-dimensional Navier–Stokes code (Arnone et al., 1991), modified to include film cooling considerations (Garg and Gaugler, 1994), has been used to study the effect of coolant velocity and temperature distribution at the hole exit on the heat transfer coefficient on three film-cooled turbine blades, namely, the C3X vane, the VKI rotor, and the ACE rotor. Results are also compared with the experimental data for all the blades. Moreover, Mayle’s transition criterion (1991), Forest’s model for augmentation of leading edge heat transfer due to free-stream turbulence (1977), and Crawford’s model for augmentation of eddy viscosity due to film cooling (Crawford et al., 1980) are used. Use of Mayle’s and Forest’s models is relevant only for the ACE rotor due to the absence of showerhead cooling on this rotor. It is found that, in some cases, the effect of distribution of coolant velocity and temperature at the hole exit can be as much as 60 percent on the heat transfer coefficient at the blade suction surface, and 50 percent at the pressure surface. Also, different effects are observed on the pressure and suction surface depending upon the blade as well as upon the hole shape, conical or cylindrical.

1.
Amer
A. A.
,
Jubran
B. A.
, and
Hamdan
M. A.
,
1992
, “
Comparison of Different Two-Equation Turbulence Models for Prediction of Film Cooling From Two Rows of Holes
,”
Numer. Heat Transfer
, Vol.
21
, Part A, pp.
143
162
.
2.
Ameri, A. A., and Arnone, A., 1994, “Prediction of Turbine Blade Passage Heat Transfer Using a Zero and a Two-Equation Turbulence Model,” ASME Paper No. 94-GT-122.
3.
Ameri
A. A.
, and
Arnone
A.
,
1996
, “
Transition Modeling Effects on Turbine Rotor Blade Heat Transfer Predictions
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
118
, pp.
307
314
.
4.
Arnone, A., Liou, M.-S., and Povinelli, L. A., 1991, “Multigrid Calculation of Three-Dimensional Viscous Cascade Flows,” AIAA Paper No. 91-3238.
5.
Baldwin, B. S., and Lomax, H., 1978, “Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flows,” AIAA Paper No. 78-257.
6.
Benz, E., and Wittig, S., 1992, “Prediction of the Interaction of Coolant Ejection With the Main Stream at the Leading Edge of a Turbine Blade: Attached Grid Application,” Proc. Intl. Symp. Heat Transfer in Turbomachinery, Athens, Greece.
7.
Bergeles
G.
,
Gosman
A. D.
, and
Launder
B. E.
,
1980
, “
Double-Row Discrete-Hole Cooling: an Experimental and Numerical Study
,”
ASME Journal of Engineering for Power
, Vol.
102
, pp.
498
503
.
8.
Boyle
R. J.
,
1991
, “
Navier–Stokes Analysis of Turbine Blade Heat Transfer
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
113
, pp.
392
403
.
9.
Boyle
R. J.
, and
Ameri
A. A.
,
1997
, “
Grid Orthogonality Effects on Predicted Turbine Midspan Heat Transfer and Performance
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
119
, pp.
31
38
.
10.
Boyle, R. J., and Giel, P., 1992, “Three-Dimensional Navier–Stokes Heat Transfer Predictions for Turbine Blade Rows,” AIAA Paper No. 92-3068.
11.
Camci
C.
, and
Arts
T.
,
1990
, “
An Experimental Convective Heat Transfer Investigation Around a Film-Cooled Gas Turbine Blade
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
112
, pp.
497
503
.
12.
Choi, D., 1993, “A Navier–Stokes Analysis of Film Cooling in a Turbine Blade,” AIAA Paper No. 93-0158.
13.
Crawford, M. E., Kays, W. M., and Moffat, R. J., 1980, “Full-Coverage Film Cooling on Flat, Isothermal Surfaces: A Summary Report on Data and Predictions,” NASA CR 3219.
14.
Davis
R. L.
,
Hobbs
D. E.
, and
Weingold
H. D.
,
1988
, “
Prediction of Compressor Cascade Performance Using a Navier–Stokes Technique
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
110
, pp.
520
531
.
15.
Dawes
W. N.
,
1993
, “
The Extension of a Solution-Adaptive Three-Dimensional Navier–Stokes Solver Toward Geometries of Arbitrary Complexity
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
115
, pp.
283
295
.
16.
Dibelius, G. H., Pitt, R., and Wen, B., 1990, “Numerical Prediction of Film Cooling Effectiveness and the Associated Aerodynamic Losses With a Three-Dimensional Calculation Procedure,” ASME Paper No. 90-GT-226.
17.
Dorney
D. J.
, and
Davis
R. L.
,
1993
, “
Numerical Simulation of Turbine Hot Spot Alleviation Using Film Cooling
,”
J. Propul. Power
, Vol.
9
, pp.
329
336
.
18.
Forest, A. E., 1977, “Engineering Predictions of Transitional Boundary Layers,” AGARD-CP-224.
19.
Fougeres, J. M., and Heider, R., 1994, “Three-Dimensional Navier–Stokes Prediction of Heat Transfer with Film Cooling,” ASME Paper No. 94-GT-14.
20.
Garg, V. K., and Gaugler, R. E., 1993, “Heat Transfer in Film-Cooled Turbine Blades,” ASME Paper No. 93-GT-81.
21.
Garg, V. K., and Gaugler, R. E., 1994, “Prediction of Film Cooling on Gas Turbine Airfoils,” ASME Paper No. 94-GT-16.
22.
Garg
V. K.
, and
Gaugler
R. E.
,
1996
, “
Leading Edge Film Cooling Effects on Turbine Blade Heat Transfer
,”
Numer. Heat Transfer
, Vol.
30
, Part A, pp.
165
187
.
23.
Goldstein
R. J.
,
1971
, “
Film Cooling
,”
Advances in Heat Transfer
, Vol.
7
, pp.
321
379
.
24.
Graziani
R. A.
,
Blair
M. F.
,
Taylor
J. R.
, and
Mayle
R. E.
,
1980
, “
An Experimental Study of Endwall and Airfoil Surface Heat Transfer in a Large Scale Turbine Blade Cascade
,”
ASME Journal of Engineering for Power
, Vol.
102
, pp.
257
267
.
25.
Haas
W.
,
Rodi
W.
, and
Scho¨nung
B.
,
1992
, “
The Influence of Density Difference Between Hot and Coolant Gas on Film Cooling by a Row of Holes: Predictions and Experiments
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
114
, pp.
747
755
.
26.
Hall, E. J., Topp, D. A., and Delaney, R. A., 1994, “Aerodynamic/Heat Transfer Analysis of Discrete Site Film-Cooled Turbine Airfoils,” AIAA Paper No. 94-3070.
27.
Hylton, L. D., Nirmalan, V., Sultanian, B. K., and Kaufman, R. M., 1988, “The Effects of Leading Edge and Downstream Film Cooling on Turbine Vane Heat Transfer,” NASA CR 182133.
28.
Jameson, A., Schmidt, W., and Turkel, E., 1981, “Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge–Kutta Time-Stepping Schemes,” AIAA Paper No. 81-1259.
29.
Leylek
J. H.
, and
Zerkle
R. D.
,
1994
, “
Discrete-Jet Film Cooling: A Comparison of Computational Results With Experiments
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
116
, pp.
358
368
.
30.
Mayle
R. E.
,
1991
, “
The Role of Laminar-Turbulent Transition in Gas Turbine Engines
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
113
, pp.
509
537
.
31.
Norton, R. J. G., Forest, A. E., White, A. J., Henshaw, D. G., Epstein, A. H., Schultz, D. L., and Oldfield, M. L. G., 1990, “Turbine Cooling System Design, Vol. I and III,” WRDC-TR-89-2109.
32.
Rai
M. M.
,
1989
, “
Three-Dimensional Navier–Stokes Simulations of Turbine Rotor–Stator Interaction; Part I—Methodology
,”
AIAA J. Propul. & Power
, Vol.
5
, pp.
305
311
.
33.
Scho¨nung
B.
, and
Rodi
W.
,
1987
, “
Prediction of Film Cooling by a Row of Holes With a Two-Dimensional Boundary-Layer Procedure
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
109
, pp.
579
587
.
34.
Stepka, F. S., and Gaugler, R. E., 1983, “Comparison of Predicted and Experimental External Heat Transfer Around a Film Cooled Cylinder in Crossflow,” ASME Paper No. 83-GT-47.
35.
Tafti
D. K.
, and
Yavuzkurt
S.
,
1990
, “
Prediction of Heat Transfer Characteristics for Discrete Hole Film Cooling for Turbine Blade Applications
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
112
, pp.
504
511
.
36.
Vogel, T., 1991, “Computation of 3-D Viscous Flow and Heat Transfer for the Application to Film Cooled Gas Turbine Blades,” Paper No. 7, AGARD-CP-510.
37.
Weigand, B., and Harasgama, S. P., 1994, “Computations of a Film Cooled Turbine Rotor Blade With Non-uniform Inlet Temperature Distribution Using a Three-Dimensional Viscous Procedure,” ASME Paper No. 94-GT-15.
38.
White, F. M., 1974, Viscous Fluid Flow, McGraw-Hill, New York.
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