Numerical simulations coupled with laser Doppler velocimetry (LDV) experiments were carried out to investigate a slot jet issued into a cross flow, which is relevant in the film cooling of gas turbine combustors. The film-cooling fluid injection from slots or holes into a cross flow produces highly complicated flow fields. In this paper, the time-averaged Navier-Stokes equations were solved on a collocated body-fitted grid system with the shear stress transport $k−ω$, V2F $k−ϵ$, and stress-$ω$ turbulence models. The fluid flow and turbulent Reynolds stress fields were compared to the LDV experiments for three jet angles, namely, 30, 60, and 90 deg, and the jet blowing ratio is ranging from 2 to 9. Good agreement was obtained. Therefore, the present solution procedure was also adopted to calculations of 15 and 40 deg jets. In addition, the temperature fields were computed with a simple eddy diffusivity model to obtain the film-cooling effectiveness, which, in turn, was used for evaluation of the various jet cross-flow arrangements. The results show that a recirculation bubble downstream of the jet exists for jet angles larger than 40 deg, but it vanishes when the angle is $<30deg$, which is in good accordance with the experiments. The blowing ratio has a large effect on the size of the recirculation bubble and, consequently, on the film cooling effectiveness. In addition, the influence of boundary conditions for the jet and cross flow are also addressed in the paper.

1.
Goldstein
,
R. J.
, 1971, “
Film Cooling
,”
0065-2717,
7
, pp.
321
379
.
2.
Wang
,
T.
,
Chintalapati
,
S.
,
Bunker
,
R. S.
, and
Lee
,
C. P.
, 2000, “
Jet Mixing in a Slot
,”
Exp. Therm. Fluid Sci.
0894-1777,
22
(
1-2
), pp.
1
17
.
3.
Cho
,
H. H.
, and
Ham
,
J. K.
, 2002, “
Influence of Injection Type and Feed Arrangement on Flow and Heat Transfer in an Injection Slot
,”
ASME J. Turbomach.
0889-504X,
124
(
1
), pp.
132
141
.
4.
O’Malley
,
K.
, 1984, “
Theoretical Aspects of Film Cooling
,” Ph.D. thesis, University of Oxford.
5.
Fitt
,
A. D.
,
Ockendon
,
J. R.
, and
Jones
,
T. V.
, 1985, “
Aerodynamics of Slot-Film Cooling: Theory and Experiment
,”
J. Fluid Mech.
0022-1120,
160
, pp.
15
30
.
6.
Bergeles
,
G.
,
Gosman
,
A. D.
, and
Launder
,
B. E.
, 1978, “
The Turbulent Jet in a Cross Stream at Low Injection Rates: A Three-dimensional Numerical Treatment
,”
Numer. Heat Transfer
0149-5720,
1
, pp.
217
242
.
7.
Andreopoulos
,
J.
, 1982, “
Measurements on a Pipe Flow Issuing Perpendicular Into a Cross Stream
,”
ASME J. Fluids Eng.
0098-2202,
104
(
4
), pp.
493
499
.
8.
Metzger
,
D. E.
,
Carper
,
H. J.
, and
Swank
,
L. R.
, 1968, “
Heat Transfer Film Cooling Near Nontangential Injection Slots
,”
ASME J. Eng. Power
0022-0825,
90
(
2
), pp.
157
163
.
9.
Chen
,
K. S.
, and
Hwang
,
J. Y.
, 1991, “
Experimental Study on the Mixing of One-and Dual-Line Heated Jets With a Cold Crossflow in a Confined Channel
,”
AIAA J.
0001-1452,
29
(
3
), pp.
353
360
.
10.
Teekaram
,
A. J. H.
,
Forth
,
C. J. P.
, and
Jones
,
T. V.
, 1991, “
Film Cooling in the Presence of Mainstream Pressure Gradients
,”
ASME J. Turbomach.
0889-504X,
113
(
3
), pp.
484
492
.
11.
Aly
,
S. E.
, 2000, “
Injection Effect on Two Dimensional Boundary Layer
,”
Energy Convers. Manage.
0196-8904,
41
(
6
), pp.
539
550
.
12.
Jones
,
W. P.
, and
Wille
,
M.
, 1996, “
Large-Eddy Simulation of a Plane Jet in a Cross-Flow
,”
Int. J. Heat Fluid Flow
0142-727X,
17
(
3
), pp.
296
306
.
13.
Sarkar
S.
, and
Bose
,
T. K.
, 1995, “
Comparison of Different Turbulence Models for Prediction of Slot-Film Cooling: Flow and Temperature-Field
,”
Numer. Heat Transfer, Part B
1040-7790,
28
(
2
), pp.
217
238
.
14.
Kassimatis
,
P. G.
,
Bergeles
,
G. C.
,
Jones
,
T. V.
, and
Chew
,
J. W.
, 2000, “
Numerical Investigation of the Aerodynamics of the Near-Slot Film Cooling
,”
Int. J. Numer. Methods Fluids
0271-2091,
32
(
1
), pp.
85
104
.
15.
Menter
,
F. R.
, 1994, “
Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications
,”
AIAA J.
0001-1452,
32
(
8
), pp.
1598
1605
.
16.
Durbin
,
P. A.
, 1995, “
Separated Flow Components With k−ϵ−v2¯ Model
,”
AIAA J.
0001-1452,
33
(
4
), pp.
659
664
.
17.
Wilcox
,
D. C.
, 1998, “
Turbulence Modelling for CFD
,”
DCW Industries Inc.
18.
Launder
,
B. E.
,
Reece
,
G.
, and
Rodi
,
W.
1975, “
Progress in the Development of a Reynolds-Stress Turbulence Closure
,”
J. Fluid Mech.
0022-1120,
68
(
3
), pp.
537
566
.
19.
Rokni
,
M.
, 2000, “
A New Low-Reynolds Version of an Explicit Algebraic Stress Model for Turbulent Convection Heat Transfer in Ducts
,”
Numer. Heat Transfer, Part B
1040-7790,
37
, pp.
331
363
.
20.
Jia
,
R.
, and
Sundén
,
B.
, 2003, “
A Multi-Block Implementation Strategy for a 3D Pressure-Based Flow and Heat Transfer Solver
,”
Numer. Heat Transfer, Part B
1040-7790,
44
(
5
), pp.
457
472
.
21.
Rhie
,
C. M.
, and
Chow
,
W. L.
, 1983, “
Numerical Study of the Turbulent Flow Past an Airfoil With Trailing Edge Separation
,”
AIAA J.
0001-1452,
21
, pp.
1525
1532
.
22.
Van Doormal
,
J. P.
, and
Raithby
,
G. D.
, 1984, “
Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows
,”
Numer. Heat Transfer
0149-5720,
7
, pp.
147
163
.