Computations, based on the k-ω shear-stress transport (SST) turbulence model in which all conservation equations were integrated to the wall, were performed to investigate the three-dimensional flow and heat transfer about a semi-cylindrical leading edge with a flat afterbody that is cooled by film-cooling jets, injected from a plenum through three staggered rows of compound-angle holes with one row along the stagnation line and two rows along ±25 deg. Results are presented for the surface adiabatic effectiveness, normalized temperature distribution, velocity vector field, and surface pressure. These results show the interactions between the mainstream hot gas and the cooling jets, and how those interactions affect surface adiabatic effectiveness. Results also show how “hot spots” can form about the stagnation zone because of the flow induced by the cooling jets. The computed results were compared with experimental data generated under a blind test. This comparison shows the results generated to be reasonable and physically meaningful. With the SST model, the normal spreading was under predicted from 20 to 50 percent. The lateral spreading was over predicted above the surface, but under predicted on the surface. The laterally averaged surface effectiveness was well predicted.

1.
Simoneau
,
R. J.
, and
Simon
,
F. F.
,
1993
, “
Progress Towards Understanding and Predicting Heat Transfer in the Turbine Gas Path
,”
Int. J. Heat Fluid Flow
,
14
, No.
2
, pp.
106
128
.
2.
Hanus
,
G. J.
, and
L’Ecuyer
,
M. R.
,
1977
, “
Leading Edge Injection for Film Cooling of Turbine Vanes
,”
J. Energy
,
1
, pp.
44
49
.
3.
Karni
,
J.
, and
Goldstein
,
R. J.
,
1990
, “
Surface Injection Effect on Mass Transfer from a Cylinder in Cross Flow
,”
ASME J. Turbomach.
,
112
, pp.
477
487
.
4.
Camci
,
C.
, and
Arts
,
T.
,
1991
, “
Effect of Incidence on Wall Heating Rates and Aerodynamics on a Film-Cooled Transonic Turbine Blade
,”
ASME J. Turbomach.
,
113
, pp.
493
501
.
5.
Mayle
,
R. E.
, and
Anderson
,
A.
,
1991
, “
Velocity and Temperature Profiles for Stagnation Film Cooling
,”
ASME J. Turbomach.
,
113
, pp.
457
463
.
6.
Ou
,
S.
, and
Han
,
J. C.
,
1992
, “
Influence of Mainstream Turbulence on Leading Edge Film Cooling Heat Transfer Through Two Rows of Inclined Film Slots
,”
ASME J. Turbomach.
,
114
, pp.
724
733
.
7.
Salcudean
,
M.
,
Gartshore
,
I.
,
Zhang
,
K.
, and
McLean
,
I.
,
1994
, “
An Experimental Study of Film Cooling Effectiveness Near the Leading Edge of a Turbine Blade
,”
ASME J. Turbomach.
,
116
, pp.
71
79
.
8.
Cruse, M. W., Yuki, U. M., and Bogard, D. G., 1997, “Investigation of Various Parametric Influences on Leading Edge Film Cooling,” ASME Paper 97-GT-296.
9.
Ames
,
F. E.
,
1998
, “
Aspects of Vane Film Cooling with High Turbulence: Part I—Heat Transfer
,”
ASME J. Turbomach.
,
120
, pp.
768
776
.
10.
Ames
,
F. E.
,
1998
, “
Aspects of Vane Film Cooling with High Turbulence: Part II—Adiabatic Effectiveness
,”
ASME J. Turbomach.
,
120
, pp.
777
784
.
11.
Garg
,
V. K.
, and
Gaugler
,
R. E.
,
1996
, “
Leading Edge Film Cooling Effects on Turbine Blade Heat Transfer
,”
Numer. Heat Transfer, Part A
,
30
, pp.
165
187
.
12.
Heidmann, J., Rigby, D. L., and Ameri, A. A., “A Three-Dimensional Coupled Internal/External Simulation of a Film-Cooled Turbine Vane,” ASME Paper 99-GT-186.
13.
Bohn, D. E., Becker, V. J., Kusterer, K. A., and Rungen, A. U., 1998, “Experimental and Numerical Conjugate Investigation of the Blowing Ratio Influence on the Showerhead Cooling Efficiency,” ASME Paper 98-GT-85.
14.
Kercher
,
D. M.
,
2000
, “
Turbine Airfoil Leading Edge Film Cooling Bibliography: 1972–1998
,”
Int. J. Rotating Mach.
,
6
, No.
5
, pp.
313
319
.
15.
Chernobrovkin, A., and Lakshminarayana, B., 1998, “Numerical Simulation and Aerothermal Physics of Leading Edge Film Cooling,” ASME Paper 98-GT-504.
16.
Lin, Y.-L., Stephens, M. A., and Shih, T. I.-P., 1987, “Computations of Leading-Edge Film Cooling With Injection Through Rows of Compound Angle Holes,” ASME Paper 97-GT-298.
17.
Martin, C. A., and Thole, K. A., 1997, “A CFD Benchmark Study: Leading-Edge Film Cooling with Compound Angle Injection,” ASME 97-GT-297.
18.
Thakur, S., Wright, J., and Shyy, W., 1997, “Computation of a Leading-Edge Film Cooling Flow over an Experimental Geometry,” ASME Paper 97-GT-381.
19.
Menter, F. R., 1993, “Zonal Two-Equation k-ω Turbulence Models for Aerodynamic Flows,” AIAA Paper 93-2906.
20.
Wilcox, D. C., 1993, Turbulence Modeling for CFD, DCW Industries, La Canada, California.
21.
Kandula, M., and Wilcox, D. C., 1995, “An Examination of k-ω Turbulence Model for Boundary Layers, Free Shear Layers, and Separated Flows,” AIAA Paper 95-2317.
22.
Bardina, J. E., Huang, P. G., and Coakley, T. J., 1997, “Turbulence Modeling Validation, Testing, and Development,” NASA TM 110446.
23.
Shih, T. I.-P., and Sultanian, B., 2001, “Computations of Internal and Film Cooling,” Heat Transfer in Gas Turbine Systems, B. Suden and M. Faghri, eds., WIT Press, Ashurst, Southhampton.
24.
Thomas
,
J. L.
,
Krist
,
S. T.
, and
Anderson
,
W. K.
,
1990
, “
Navier-Stokes Computations of Vortical Flows Over Low-Aspect-Ratio Wings
,”
AIAA J.
,
28
, No.
2
, pp.
205
212
.
25.
Rumsey, C. L., and Vatsa, V. N., 1993, “A Comparison of the Predictive Capabilities of Several Turbulence Models Using Upwind and Central-Difference Computer Codes,” AIAA Paper 93-0192.
26.
Roe
,
P. L.
,
1981
, “
Approximate Riemann Solvers, Parameter Vector and Difference Schemes
,”
J. Comput. Phys.
,
43
, pp.
357
372
.
27.
Roe
,
P. L.
,
1986
, “
Characteristic Based Schemes for the Euler Equations
,”
Annu. Rev. Fluid Mech.
,
18
, pp.
337
365
.
28.
Pulliam
,
W. R.
, and
Chaussee
,
D. S.
,
1981
, “
A Diagonal Form of an Implicit Approximate Factorization Algorithm
,”
J. Comput. Phys.
,
39
, pp.
347
363
.
29.
Ni, R.-H., 1981, “A Multiple Grid Scheme for Solving the Euler Equations,” AIAA Paper 81-1025.
30.
Anderson
,
W. K.
,
Thomas
,
J. L.
, and
Whitfield
,
D. L.
,
1988
, “
Multigrid Acceleration of the Flux-Split Euler Equations
,”
AIAA J.
,
26
, No.
6
, pp.
649
654
.
31.
Stephens, M. A., Chyu, M. K., Shih, T. I-P., and Civinskas, K. C., 1996, “Calculations and Measurements of Heat Transfer in a Square Duct with Inclined Ribs,” AIAA Paper 96-3163.
32.
Leylek
,
J. H.
, and
Zerkle
,
R. D.
,
1994
, “
Discrete-Jet Film Cooling: A Comparison of Computational Results with Experiments
,”
ASME J. Turbomach.
,
116
, pp.
358
368
.
You do not currently have access to this content.